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Generated by PyAlmanac The Nautical Almanac 2021 Author: Enno Rodegerdts July 3, 2017 Disclaimer: These are computer generated tables. Use on your own risk. The accuracy has been checked as good as possible but can not be guaranteed. This means, if you get lost on the oceans because of errors in this publication I can not be held liable. For security relevant applications you should buy an official version of the nautical almanac. You need one anyway since this publication only contains the daily pages of the Nautical Almanac

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Page 1: Download the Nautical Almanac for 2017 and 2018 - Generated by … · 2017. 7. 3. · For security relevant applications you should buy an official version of the nautical almanac

Generated by PyAlmanac

The Nautical Almanac

2021

Author:Enno Rodegerdts

July 3, 2017

Disclaimer: These are computer generated tables. Use on your own risk. The accuracy has been checked as good as possible but can not be guaranteed. This means, if youget lost on the oceans because of errors in this publication I can not be held liable. For security relevant applications you should buy an official version of the nauticalalmanac. You need one anyway since this publication only contains the daily pages of the Nautical Almanac

Page 2: Download the Nautical Almanac for 2017 and 2018 - Generated by … · 2017. 7. 3. · For security relevant applications you should buy an official version of the nautical almanac

January 01, 02 ,03 (Fri., Sat., Sun.)Aries Venus Mars Jupiter Saturn

Fri GHA GHA Dec GHA Dec GHA Dec GHA Dec0 100◦51.9 201◦14.8 -22◦26.0 75◦47.4 11◦20.7 155◦40.7 -20◦00.7 156◦54.3 -20◦10.51 115◦54.3 216◦13.9 -22◦26.4 90◦48.8 11◦21.1 170◦42.6 -20◦00.6 171◦56.4 -20◦10.42 130◦56.8 231◦12.9 -22◦26.7 105◦50.3 11◦21.6 185◦44.5 -20◦00.5 186◦58.6 -20◦10.43 145◦59.3 246◦12.0 -22◦27.0 120◦51.7 11◦22.0 200◦46.3 -20◦00.4 202◦00.8 -20◦10.34 161◦01.7 261◦11.1 -22◦27.3 135◦53.2 11◦22.4 215◦48.2 -20◦00.2 217◦02.9 -20◦10.25 176◦04.2 276◦10.2 -22◦27.7 150◦54.6 11◦22.9 230◦50.1 -20◦00.1 232◦05.1 -20◦10.26 191◦06.7 291◦09.3 -22◦28.0 165◦56.1 11◦23.3 245◦51.9 -19◦60.0 247◦07.3 -20◦10.17 206◦09.1 306◦08.4 -22◦28.3 180◦57.5 11◦23.7 260◦53.8 -19◦59.8 262◦09.4 -20◦10.08 221◦11.6 321◦07.5 -22◦28.6 195◦59.0 11◦24.2 275◦55.7 -19◦59.7 277◦11.6 -20◦10.09 236◦14.1 336◦06.6 -22◦28.9 211◦00.4 11◦24.6 290◦57.6 -19◦59.6 292◦13.8 -20◦09.910 251◦16.5 351◦05.7 -22◦29.2 226◦01.9 11◦25.0 305◦59.4 -19◦59.5 307◦15.9 -20◦09.911 266◦19.0 6◦04.8 -22◦29.6 241◦03.3 11◦25.5 321◦01.3 -19◦59.3 322◦18.1 -20◦09.812 281◦21.4 21◦03.9 -22◦29.9 256◦04.8 11◦25.9 336◦03.2 -19◦59.2 337◦20.3 -20◦09.713 296◦23.9 36◦03.0 -22◦30.2 271◦06.2 11◦26.3 351◦05.1 -19◦59.1 352◦22.4 -20◦09.714 311◦26.4 51◦02.0 -22◦30.5 286◦07.7 11◦26.8 6◦06.9 -19◦58.9 7◦24.6 -20◦09.615 326◦28.8 66◦01.1 -22◦30.8 301◦09.1 11◦27.2 21◦08.8 -19◦58.8 22◦26.8 -20◦09.616 341◦31.3 81◦00.2 -22◦31.1 316◦10.6 11◦27.7 36◦10.7 -19◦58.7 37◦28.9 -20◦09.517 356◦33.8 95◦59.3 -22◦31.4 331◦12.0 11◦28.1 51◦12.5 -19◦58.5 52◦31.1 -20◦09.418 11◦36.2 110◦58.4 -22◦31.7 346◦13.5 11◦28.5 66◦14.4 -19◦58.4 67◦33.3 -20◦09.419 26◦38.7 125◦57.5 -22◦32.0 1◦14.9 11◦29.0 81◦16.3 -19◦58.3 82◦35.4 -20◦09.320 41◦41.2 140◦56.6 -22◦32.3 16◦16.4 11◦29.4 96◦18.2 -19◦58.2 97◦37.6 -20◦09.321 56◦43.6 155◦55.7 -22◦32.6 31◦17.8 11◦29.8 111◦20.0 -19◦58.0 112◦39.8 -20◦09.222 71◦46.1 170◦54.8 -22◦32.9 46◦19.2 11◦30.3 126◦21.9 -19◦57.9 127◦41.9 -20◦09.123 86◦48.6 185◦53.9 -22◦33.2 61◦20.7 11◦30.7 141◦23.8 -19◦57.8 142◦44.1 -20◦09.1Mer.pass.:17:13 v-0.9 d-0.3 m-3.8 v1.5 d0.4 m-0.2 v1.9 d0.1 m-1.8 v2.2 d0.1 m0.6

Sat GHA GHA Dec GHA Dec GHA Dec GHA Dec0 101◦51.0 200◦52.9 -22◦33.5 76◦22.1 11◦31.1 156◦25.6 -19◦57.6 157◦46.3 -20◦09.01 116◦53.5 215◦52.0 -22◦33.8 91◦23.6 11◦31.6 171◦27.5 -19◦57.5 172◦48.4 -20◦08.92 131◦55.9 230◦51.1 -22◦34.1 106◦25.0 11◦32.0 186◦29.4 -19◦57.4 187◦50.6 -20◦08.93 146◦58.4 245◦50.2 -22◦34.4 121◦26.5 11◦32.5 201◦31.3 -19◦57.3 202◦52.8 -20◦08.84 162◦00.9 260◦49.3 -22◦34.7 136◦27.9 11◦32.9 216◦33.1 -19◦57.1 217◦54.9 -20◦08.85 177◦03.3 275◦48.4 -22◦35.0 151◦29.3 11◦33.3 231◦35.0 -19◦57.0 232◦57.1 -20◦08.76 192◦05.8 290◦47.5 -22◦35.3 166◦30.8 11◦33.8 246◦36.9 -19◦56.9 247◦59.3 -20◦08.67 207◦08.3 305◦46.5 -22◦35.6 181◦32.2 11◦34.2 261◦38.7 -19◦56.7 263◦01.4 -20◦08.68 222◦10.7 320◦45.6 -22◦35.9 196◦33.7 11◦34.6 276◦40.6 -19◦56.6 278◦03.6 -20◦08.59 237◦13.2 335◦44.7 -22◦36.2 211◦35.1 11◦35.1 291◦42.5 -19◦56.5 293◦05.8 -20◦08.510 252◦15.7 350◦43.8 -22◦36.5 226◦36.5 11◦35.5 306◦44.4 -19◦56.3 308◦07.9 -20◦08.411 267◦18.1 5◦42.9 -22◦36.8 241◦38.0 11◦36.0 321◦46.2 -19◦56.2 323◦10.1 -20◦08.312 282◦20.6 20◦42.0 -22◦37.1 256◦39.4 11◦36.4 336◦48.1 -19◦56.1 338◦12.3 -20◦08.313 297◦23.1 35◦41.1 -22◦37.3 271◦40.8 11◦36.8 351◦50.0 -19◦56.0 353◦14.4 -20◦08.214 312◦25.5 50◦40.1 -22◦37.6 286◦42.3 11◦37.3 6◦51.8 -19◦55.8 8◦16.6 -20◦08.215 327◦28.0 65◦39.2 -22◦37.9 301◦43.7 11◦37.7 21◦53.7 -19◦55.7 23◦18.8 -20◦08.116 342◦30.4 80◦38.3 -22◦38.2 316◦45.1 11◦38.1 36◦55.6 -19◦55.6 38◦20.9 -20◦08.017 357◦32.9 95◦37.4 -22◦38.5 331◦46.6 11◦38.6 51◦57.4 -19◦55.4 53◦23.1 -20◦08.018 12◦35.4 110◦36.5 -22◦38.7 346◦48.0 11◦39.0 66◦59.3 -19◦55.3 68◦25.3 -20◦07.919 27◦37.8 125◦35.6 -22◦39.0 1◦49.4 11◦39.5 82◦01.2 -19◦55.2 83◦27.4 -20◦07.820 42◦40.3 140◦34.6 -22◦39.3 16◦50.9 11◦39.9 97◦03.1 -19◦55.0 98◦29.6 -20◦07.821 57◦42.8 155◦33.7 -22◦39.6 31◦52.3 11◦40.3 112◦04.9 -19◦54.9 113◦31.8 -20◦07.722 72◦45.2 170◦32.8 -22◦39.8 46◦53.7 11◦40.8 127◦06.8 -19◦54.8 128◦33.9 -20◦07.723 87◦47.7 185◦31.9 -22◦40.1 61◦55.2 11◦41.2 142◦08.7 -19◦54.7 143◦36.1 -20◦07.6Mer.pass.:17:09 v-0.9 d-0.3 m-3.8 v1.4 d0.4 m-0.2 v1.9 d0.1 m-1.8 v2.2 d0.1 m0.6

Sun GHA GHA Dec GHA Dec GHA Dec GHA Dec0 102◦50.2 200◦31.0 -22◦40.4 76◦56.6 11◦41.6 157◦10.5 -19◦54.5 158◦38.3 -20◦07.51 117◦52.6 215◦30.0 -22◦40.7 91◦58.0 11◦42.1 172◦12.4 -19◦54.4 173◦40.4 -20◦07.52 132◦55.1 230◦29.1 -22◦40.9 106◦59.5 11◦42.5 187◦14.3 -19◦54.3 188◦42.6 -20◦07.43 147◦57.6 245◦28.2 -22◦41.2 122◦00.9 11◦43.0 202◦16.2 -19◦54.1 203◦44.8 -20◦07.44 163◦00.0 260◦27.3 -22◦41.5 137◦02.3 11◦43.4 217◦18.0 -19◦54.0 218◦46.9 -20◦07.35 178◦02.5 275◦26.4 -22◦41.7 152◦03.7 11◦43.8 232◦19.9 -19◦53.9 233◦49.1 -20◦07.26 193◦04.9 290◦25.4 -22◦42.0 167◦05.2 11◦44.3 247◦21.8 -19◦53.7 248◦51.3 -20◦07.27 208◦07.4 305◦24.5 -22◦42.3 182◦06.6 11◦44.7 262◦23.6 -19◦53.6 263◦53.4 -20◦07.18 223◦09.9 320◦23.6 -22◦42.5 197◦08.0 11◦45.1 277◦25.5 -19◦53.5 278◦55.6 -20◦07.09 238◦12.3 335◦22.7 -22◦42.8 212◦09.4 11◦45.6 292◦27.4 -19◦53.4 293◦57.8 -20◦07.010 253◦14.8 350◦21.8 -22◦43.0 227◦10.9 11◦46.0 307◦29.2 -19◦53.2 308◦59.9 -20◦06.911 268◦17.3 5◦20.8 -22◦43.3 242◦12.3 11◦46.5 322◦31.1 -19◦53.1 324◦02.1 -20◦06.912 283◦19.7 20◦19.9 -22◦43.6 257◦13.7 11◦46.9 337◦33.0 -19◦53.0 339◦04.3 -20◦06.813 298◦22.2 35◦19.0 -22◦43.8 272◦15.1 11◦47.3 352◦34.8 -19◦52.8 354◦06.4 -20◦06.714 313◦24.7 50◦18.1 -22◦44.1 287◦16.6 11◦47.8 7◦36.7 -19◦52.7 9◦08.6 -20◦06.715 328◦27.1 65◦17.2 -22◦44.3 302◦18.0 11◦48.2 22◦38.6 -19◦52.6 24◦10.8 -20◦06.616 343◦29.6 80◦16.2 -22◦44.6 317◦19.4 11◦48.7 37◦40.5 -19◦52.4 39◦12.9 -20◦06.517 358◦32.0 95◦15.3 -22◦44.8 332◦20.8 11◦49.1 52◦42.3 -19◦52.3 54◦15.1 -20◦06.518 13◦34.5 110◦14.4 -22◦45.1 347◦22.3 11◦49.5 67◦44.2 -19◦52.2 69◦17.3 -20◦06.419 28◦37.0 125◦13.5 -22◦45.3 2◦23.7 11◦50.0 82◦46.1 -19◦52.0 84◦19.4 -20◦06.420 43◦39.4 140◦12.5 -22◦45.6 17◦25.1 11◦50.4 97◦47.9 -19◦51.9 99◦21.6 -20◦06.321 58◦41.9 155◦11.6 -22◦45.8 32◦26.5 11◦50.9 112◦49.8 -19◦51.8 114◦23.7 -20◦06.222 73◦44.4 170◦10.7 -22◦46.1 47◦27.9 11◦51.3 127◦51.7 -19◦51.6 129◦25.9 -20◦06.223 88◦46.8 185◦09.8 -22◦46.3 62◦29.4 11◦51.7 142◦53.5 -19◦51.5 144◦28.1 -20◦06.1Mer.pass.:17:05 v-0.9 d-0.3 m-3.8 v1.4 d0.4 m-0.2 v1.9 d0.1 m-1.8 v2.2 d0.1 m0.6

StarsSHA Dec

Alpheratz 357◦38.2 29◦12.4Ankaa 353◦10.5 -42◦11.9

Schedar 349◦34.6 56◦39.3Diphda 348◦50.5 -17◦52.5

Achernar 335◦22.6 -57◦08.2Hamal 327◦54.7 23◦33.7Polaris 315◦13.8 89◦21.3Akamar 315◦14.0 -40◦13.6Menkar 314◦09.4 4◦10.2Mirfak 308◦32.5 49◦56.2

Aldebaran 290◦43.1 16◦33.0Rigel 281◦06.7 -8◦10.8

Capella 280◦26.2 46◦01.2Bellatrix 278◦26.0 6◦22.0Elnath 278◦05.6 28◦37.4Alnilam 275◦40.7 -1◦11.4

Betelgeuse 270◦55.3 7◦24.6Canopus 263◦53.3 -52◦42.5

Sirius 258◦28.7 -16◦44.6Adara 255◦08.0 -29◦00.1

Procyon 244◦53.8 5◦10.4Pollux 243◦20.8 27◦58.4Avior 234◦15.4 -59◦34.5Suhail 222◦48.3 -43◦30.9

Miaplacidus 221◦38.0 -69◦48.0Alphard 217◦50.7 -8◦44.9Regulus 207◦37.7 11◦51.8Dubhe 193◦44.8 61◦38.1

Denebola 182◦28.1 14◦27.3Gienah 175◦46.8 -17◦39.3Acrux 173◦03.5 -63◦12.5

Gacrux 171◦55.1 -57◦13.5Alioth 166◦16.0 55◦50.6Spica 158◦25.8 -11◦16.1Alcaid 152◦54.8 49◦12.4Hadar 148◦40.8 -60◦28.1

Menkent 148◦01.6 -36◦28.1Arcturus 145◦50.9 19◦04.7

Rigil Kent. 139◦45.0 -60◦54.9Zubenelg. 136◦59.8 -16◦07.6Kochab 137◦20.6 74◦04.0

Alphecca 126◦06.8 26◦38.6Antares 112◦20.1 -26◦28.5

Atria 107◦17.8 -69◦03.6Sabik 102◦06.8 -15◦44.9

Shaula 96◦15.2 -37◦07.0Rasalhague 96◦01.9 12◦32.7

Etamin 90◦44.2 51◦29.1Kaus Aust. 83◦37.2 -34◦22.4

Vega 80◦35.9 38◦48.2Nunki 75◦52.2 -26◦16.2Altair 62◦03.5 8◦55.4

Peacock 53◦11.5 -56◦40.2Deneb 49◦28.4 45◦21.4

Enif 33◦42.2 9◦58.2Alnair 27◦37.4 -46◦51.8

Fomalhaut 15◦18.4 -29◦30.9Scheat 13◦48.5 28◦11.8Markab 13◦33.3 15◦19.1

2021/1/1 SHA Mer.passVenus 100◦22.9 10:36Mars 334◦55.5 18:55

Jupiter 54◦48.8 13:36Saturn 56◦02.4 13:30

2021/1/2 SHA Mer.passVenus 99◦01.9 10:37Mars 334◦31.1 18:53

Jupiter 54◦34.6 13:33Saturn 55◦55.3 13:27

2021/1/3 SHA Mer.passVenus 97◦40.8 10:39Mars 334◦06.4 18:50

Jupiter 54◦20.4 13:30Saturn 55◦48.1 13:24

Horizontal paralaxVenus: 0.1Mars: 0.2

2

Page 3: Download the Nautical Almanac for 2017 and 2018 - Generated by … · 2017. 7. 3. · For security relevant applications you should buy an official version of the nautical almanac

2021 January 01 to Jan. 03

h Sun MoonFri GHA Dec GHA ν Dec d HP0 179◦08.5 -22◦60.0 334◦57.7 8.5 23◦01.3 -5.5 56.71 194◦08.2 -22◦59.7 349◦25.2 8.5 22◦55.8 -5.6 56.82 209◦07.9 -22◦59.5 3◦52.6 8.5 22◦50.1 -5.8 56.83 224◦07.6 -22◦59.3 18◦20.2 8.5 22◦44.3 -5.9 56.84 239◦07.3 -22◦59.1 32◦47.7 8.6 22◦38.3 -6.0 56.85 254◦07.0 -22◦58.9 47◦15.3 8.6 22◦32.3 -6.1 56.86 269◦06.7 -22◦58.7 61◦42.9 8.6 22◦26.0 -6.3 56.97 284◦06.4 -22◦58.5 76◦10.5 8.7 22◦19.7 -6.4 56.98 299◦06.1 -22◦58.3 90◦38.2 8.7 22◦13.2 -6.5 56.99 314◦05.8 -22◦58.1 105◦05.9 8.7 22◦06.6 -6.7 56.910 329◦05.5 -22◦57.9 119◦33.6 8.7 21◦59.9 -6.8 56.911 344◦05.2 -22◦57.6 134◦01.4 8.8 21◦53.1 -6.9 57.012 359◦05.0 -22◦57.4 148◦29.2 8.8 21◦46.1 -7.0 57.013 14◦04.7 -22◦57.2 162◦57.0 8.9 21◦39.0 -7.2 57.014 29◦04.4 -22◦57.0 177◦24.9 8.9 21◦31.8 -7.3 57.015 44◦04.1 -22◦56.8 191◦52.8 8.9 21◦24.4 -7.4 57.016 59◦03.8 -22◦56.6 206◦20.8 9.0 21◦17.0 -7.5 57.117 74◦03.5 -22◦56.3 220◦48.7 9.0 21◦09.4 -7.7 57.118 89◦03.2 -22◦56.1 235◦16.8 9.0 21◦01.7 -7.8 57.119 104◦02.9 -22◦55.9 249◦44.8 9.1 20◦53.8 -7.9 57.120 119◦02.6 -22◦55.7 264◦12.9 9.1 20◦45.9 -8.0 57.121 134◦02.3 -22◦55.5 278◦41.0 9.2 20◦37.8 -8.1 57.222 149◦02.0 -22◦55.2 293◦09.2 9.2 20◦29.6 -8.2 57.223 164◦01.7 -22◦55.0 307◦37.4 9.2 20◦21.3 -8.4 57.2

SD.=16.3 d=0.2 S.D.=15.5

Sat GHA Dec GHA ν Dec d HP0 179◦01.5 -22◦54.8 322◦05.7 9.3 20◦12.9 -8.5 57.21 194◦01.2 -22◦54.6 336◦34.0 9.3 20◦04.4 -8.6 57.22 209◦00.9 -22◦54.3 351◦02.3 9.4 19◦55.7 -8.7 57.33 224◦00.6 -22◦54.1 5◦30.7 9.4 19◦47.0 -8.8 57.34 239◦00.3 -22◦53.9 19◦59.1 9.4 19◦38.1 -8.9 57.35 253◦60.0 -22◦53.6 34◦27.6 9.5 19◦29.1 -9.0 57.36 268◦59.7 -22◦53.4 48◦56.1 9.5 19◦20.0 -9.2 57.37 283◦59.4 -22◦53.2 63◦24.7 9.6 19◦10.8 -9.3 57.38 298◦59.1 -22◦53.0 77◦53.3 9.6 19◦01.5 -9.4 57.49 313◦58.8 -22◦52.7 92◦21.9 9.7 18◦52.0 -9.5 57.410 328◦58.6 -22◦52.5 106◦50.6 9.7 18◦42.5 -9.6 57.411 343◦58.3 -22◦52.3 121◦19.3 9.8 18◦32.8 -9.7 57.412 358◦58.0 -22◦52.0 135◦48.1 9.8 18◦23.1 -9.8 57.413 13◦57.7 -22◦51.8 150◦16.9 9.8 18◦13.2 -9.9 57.514 28◦57.4 -22◦51.6 164◦45.8 9.9 18◦03.3 -10.0 57.515 43◦57.1 -22◦51.3 179◦14.7 9.9 17◦53.2 -10.1 57.516 58◦56.8 -22◦51.1 193◦43.6 10.0 17◦43.1 -10.2 57.517 73◦56.5 -22◦50.8 208◦12.6 10.0 17◦32.8 -10.3 57.518 88◦56.2 -22◦50.6 222◦41.7 10.1 17◦22.4 -10.4 57.619 103◦56.0 -22◦50.4 237◦10.8 10.1 17◦12.0 -10.5 57.620 118◦55.7 -22◦50.1 251◦39.9 10.1 17◦01.4 -10.6 57.621 133◦55.4 -22◦49.9 266◦09.1 10.2 16◦50.8 -10.7 57.622 148◦55.1 -22◦49.6 280◦38.3 10.2 16◦40.0 -10.8 57.623 163◦54.8 -22◦49.4 295◦07.5 10.3 16◦29.2 -10.9 57.7

SD.=16.3 d=0.2 S.D.=15.6

Sun GHA Dec GHA ν Dec d HP0 178◦54.5 -22◦49.2 309◦36.8 10.3 16◦18.2 -11.0 57.71 193◦54.2 -22◦48.9 324◦06.2 10.4 16◦07.2 -11.1 57.72 208◦53.9 -22◦48.7 338◦35.6 10.4 15◦56.1 -11.2 57.73 223◦53.7 -22◦48.4 353◦05.0 10.5 15◦44.9 -11.3 57.74 238◦53.4 -22◦48.2 7◦34.5 10.5 15◦33.6 -11.3 57.75 253◦53.1 -22◦47.9 22◦04.0 10.5 15◦22.2 -11.4 57.86 268◦52.8 -22◦47.7 36◦33.6 10.6 15◦10.7 -11.5 57.87 283◦52.5 -22◦47.4 51◦03.2 10.6 14◦59.1 -11.6 57.88 298◦52.2 -22◦47.2 65◦32.8 10.7 14◦47.5 -11.7 57.89 313◦51.9 -22◦46.9 80◦02.5 10.7 14◦35.8 -11.8 57.810 328◦51.7 -22◦46.7 94◦32.2 10.7 14◦24.0 -11.9 57.911 343◦51.4 -22◦46.4 109◦02.0 10.8 14◦12.1 -11.9 57.912 358◦51.1 -22◦46.2 123◦31.8 10.8 14◦00.1 -12.0 57.913 13◦50.8 -22◦45.9 138◦01.6 10.9 13◦48.0 -12.1 57.914 28◦50.5 -22◦45.7 152◦31.5 10.9 13◦35.9 -12.2 57.915 43◦50.2 -22◦45.4 167◦01.4 10.9 13◦23.7 -12.2 57.916 58◦49.9 -22◦45.2 181◦31.3 11.0 13◦11.4 -12.3 58.017 73◦49.7 -22◦44.9 196◦01.3 11.0 12◦59.0 -12.4 58.018 88◦49.4 -22◦44.6 210◦31.4 11.0 12◦46.6 -12.5 58.019 103◦49.1 -22◦44.4 225◦01.4 11.1 12◦34.1 -12.5 58.020 118◦48.8 -22◦44.1 239◦31.5 11.1 12◦21.5 -12.6 58.021 133◦48.5 -22◦43.9 254◦01.7 11.1 12◦08.9 -12.7 58.122 148◦48.2 -22◦43.6 268◦31.8 11.2 11◦56.1 -12.8 58.123 163◦48.0 -22◦43.3 283◦02.0 11.2 11◦43.3 -12.8 58.1

SD.=16.3 d=0.2 S.D.=15.7

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 08:23 10:39 –:– –:– 13:30 15:4670 08:04 09:48 –:– –:– 14:21 16:0568 07:49 09:16 –:– –:– 14:53 16:2066 07:37 08:52 10:25 13:43 15:17 16:3264 07:26 08:33 09:48 14:21 15:35 16:4262 07:17 08:18 09:22 14:47 15:50 16:5260 07:09 08:05 09:02 15:07 16:03 16:6058 07:02 07:54 08:45 15:24 16:15 17:0756 06:55 07:44 08:31 15:38 16:24 17:1354 06:50 07:35 08:19 15:50 16:33 17:1952 06:44 07:27 08:08 16:01 16:41 17:2450 06:39 07:20 07:58 16:10 16:48 17:2945 06:28 07:05 07:38 16:30 17:04 17:4140 06:18 06:52 07:22 16:46 17:17 17:5135 06:09 06:40 07:08 17:00 17:28 17:6030 06:00 06:30 06:56 17:12 17:38 18:0820 05:44 06:12 06:35 17:33 17:57 18:2410 05:28 05:55 06:17 17:51 18:14 18:400 05:12 05:38 06:00 18:08 18:30 18:56-10 04:53 05:20 05:43 18:25 18:48 19:15-20 04:31 05:00 05:25 18:43 19:08 19:37-30 04:03 04:36 05:03 19:05 19:32 20:05-35 03:45 04:21 04:51 19:18 19:47 20:23-40 03:22 04:03 04:36 19:32 20:05 20:46-45 02:52 03:41 04:18 19:50 20:26 21:15-50 02:09 03:13 03:57 20:11 20:55 21:58-52 01:43 02:58 03:46 20:22 21:10 22:24-54 01:04 02:41 03:34 20:34 21:27 23:02-56 –:– 02:20 03:20 20:47 21:47 –:–-58 –:– 01:52 03:04 21:03 22:15 –:–-60 –:– 01:10 02:45 21:22 22:56 –:–

Moonrise MoonsetLat. Fri Sat Sun Fri Sat Sun72 –:– 15:55 19:10 –:– 14:31 13:0270 –:– 17:10 19:34 –:– 13:14 12:3668 15:16 17:47 19:52 13:17 12:35 12:1666 16:14 18:13 20:06 12:18 12:08 12:0164 16:48 18:33 20:18 11:44 11:47 11:4762 17:12 18:50 20:28 11:19 11:30 11:3660 17:32 19:03 20:36 10:59 11:16 11:2758 17:48 19:15 20:43 10:42 11:03 11:1856 18:01 19:24 20:50 10:28 10:53 11:1154 18:13 19:33 20:56 10:16 10:43 11:0452 18:23 19:41 21:01 10:05 10:35 10:5950 18:32 19:48 21:06 09:56 10:27 10:5345 18:52 20:03 21:16 09:36 10:11 10:4140 19:07 20:15 21:24 09:19 09:58 10:3235 19:21 20:26 21:31 09:05 09:46 10:2330 19:32 20:35 21:38 08:53 09:36 10:1620 19:52 20:50 21:48 08:32 09:19 10:0310 20:09 21:04 21:58 08:14 09:04 09:510 20:25 21:17 22:07 07:57 08:50 09:41-10 20:40 21:29 22:15 07:40 08:35 09:30-20 20:57 21:43 22:25 07:21 08:20 09:18-30 21:17 21:58 22:35 06:60 08:02 09:05-35 21:28 22:07 22:42 06:47 07:52 08:57-40 21:41 22:17 22:48 06:33 07:40 08:48-45 21:56 22:29 22:57 06:15 07:25 08:38-50 22:14 22:43 23:06 05:54 07:08 08:25-52 22:23 22:49 23:11 05:44 06:60 08:19-54 22:33 22:57 23:15 05:32 06:50 08:12-56 22:44 23:05 23:21 05:19 06:40 08:05-58 22:56 23:14 23:27 05:03 06:28 07:56-60 23:11 23:24 23:33 04:45 06:14 07:47

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower1 03:26 03:40 12:03 01:43 14:10 18(94%)2 03:54 04:08 12:04 02:37 15:03 19(88%)3 04:22 04:36 12:04 03:28 15:53 20(80%)

3

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January 04, 05 ,06 (Mon., Tue., Wed.)Aries Venus Mars Jupiter Saturn

Mon GHA GHA Dec GHA Dec GHA Dec GHA Dec0 103◦49.3 200◦08.8 -22◦46.6 77◦30.8 11◦52.2 157◦55.4 -19◦51.4 159◦30.2 -20◦06.11 118◦51.8 215◦07.9 -22◦46.8 92◦32.2 11◦52.6 172◦57.3 -19◦51.3 174◦32.4 -20◦06.02 133◦54.2 230◦07.0 -22◦47.0 107◦33.6 11◦53.1 187◦59.1 -19◦51.1 189◦34.6 -20◦05.93 148◦56.7 245◦06.1 -22◦47.3 122◦35.0 11◦53.5 203◦01.0 -19◦51.0 204◦36.7 -20◦05.94 163◦59.2 260◦05.2 -22◦47.5 137◦36.4 11◦53.9 218◦02.9 -19◦50.9 219◦38.9 -20◦05.85 179◦01.6 275◦04.2 -22◦47.8 152◦37.9 11◦54.4 233◦04.8 -19◦50.7 234◦41.1 -20◦05.76 194◦04.1 290◦03.3 -22◦48.0 167◦39.3 11◦54.8 248◦06.6 -19◦50.6 249◦43.2 -20◦05.77 209◦06.5 305◦02.4 -22◦48.2 182◦40.7 11◦55.3 263◦08.5 -19◦50.5 264◦45.4 -20◦05.68 224◦09.0 320◦01.4 -22◦48.5 197◦42.1 11◦55.7 278◦10.4 -19◦50.3 279◦47.6 -20◦05.69 239◦11.5 335◦00.5 -22◦48.7 212◦43.5 11◦56.1 293◦12.2 -19◦50.2 294◦49.7 -20◦05.510 254◦13.9 349◦59.6 -22◦48.9 227◦44.9 11◦56.6 308◦14.1 -19◦50.1 309◦51.9 -20◦05.411 269◦16.4 4◦58.7 -22◦49.1 242◦46.3 11◦57.0 323◦16.0 -19◦49.9 324◦54.1 -20◦05.412 284◦18.9 19◦57.7 -22◦49.4 257◦47.7 11◦57.5 338◦17.8 -19◦49.8 339◦56.2 -20◦05.313 299◦21.3 34◦56.8 -22◦49.6 272◦49.2 11◦57.9 353◦19.7 -19◦49.7 354◦58.4 -20◦05.214 314◦23.8 49◦55.9 -22◦49.8 287◦50.6 11◦58.3 8◦21.6 -19◦49.5 10◦00.5 -20◦05.215 329◦26.3 64◦55.0 -22◦50.1 302◦52.0 11◦58.8 23◦23.4 -19◦49.4 25◦02.7 -20◦05.116 344◦28.7 79◦54.0 -22◦50.3 317◦53.4 11◦59.2 38◦25.3 -19◦49.3 40◦04.9 -20◦05.117 359◦31.2 94◦53.1 -22◦50.5 332◦54.8 11◦59.7 53◦27.2 -19◦49.1 55◦07.0 -20◦05.018 14◦33.7 109◦52.2 -22◦50.7 347◦56.2 12◦00.1 68◦29.0 -19◦49.0 70◦09.2 -20◦04.919 29◦36.1 124◦51.3 -22◦50.9 2◦57.6 12◦00.5 83◦30.9 -19◦48.9 85◦11.4 -20◦04.920 44◦38.6 139◦50.3 -22◦51.2 17◦59.0 12◦01.0 98◦32.8 -19◦48.7 100◦13.5 -20◦04.821 59◦41.0 154◦49.4 -22◦51.4 33◦00.4 12◦01.4 113◦34.6 -19◦48.6 115◦15.7 -20◦04.722 74◦43.5 169◦48.5 -22◦51.6 48◦01.8 12◦01.9 128◦36.5 -19◦48.5 130◦17.9 -20◦04.723 89◦46.0 184◦47.5 -22◦51.8 63◦03.2 12◦02.3 143◦38.4 -19◦48.3 145◦20.0 -20◦04.6Mer.pass.:17:01 v-0.9 d-0.2 m-3.8 v1.4 d0.4 m-0.1 v1.9 d0.1 m-1.8 v2.2 d0.1 m0.6

Tue GHA GHA Dec GHA Dec GHA Dec GHA Dec0 104◦48.4 199◦46.6 -22◦52.0 78◦04.6 12◦02.7 158◦40.3 -19◦48.2 160◦22.2 -20◦04.61 119◦50.9 214◦45.7 -22◦52.2 93◦06.1 12◦03.2 173◦42.1 -19◦48.1 175◦24.4 -20◦04.52 134◦53.4 229◦44.7 -22◦52.5 108◦07.5 12◦03.6 188◦44.0 -19◦47.9 190◦26.5 -20◦04.43 149◦55.8 244◦43.8 -22◦52.7 123◦08.9 12◦04.1 203◦45.9 -19◦47.8 205◦28.7 -20◦04.44 164◦58.3 259◦42.9 -22◦52.9 138◦10.3 12◦04.5 218◦47.7 -19◦47.7 220◦30.8 -20◦04.35 180◦00.8 274◦42.0 -22◦53.1 153◦11.7 12◦04.9 233◦49.6 -19◦47.5 235◦33.0 -20◦04.26 195◦03.2 289◦41.0 -22◦53.3 168◦13.1 12◦05.4 248◦51.5 -19◦47.4 250◦35.2 -20◦04.27 210◦05.7 304◦40.1 -22◦53.5 183◦14.5 12◦05.8 263◦53.3 -19◦47.3 265◦37.3 -20◦04.18 225◦08.1 319◦39.2 -22◦53.7 198◦15.9 12◦06.3 278◦55.2 -19◦47.2 280◦39.5 -20◦04.19 240◦10.6 334◦38.2 -22◦53.9 213◦17.3 12◦06.7 293◦57.1 -19◦47.0 295◦41.7 -20◦04.010 255◦13.1 349◦37.3 -22◦54.1 228◦18.7 12◦07.2 308◦58.9 -19◦46.9 310◦43.8 -20◦03.911 270◦15.5 4◦36.4 -22◦54.3 243◦20.1 12◦07.6 324◦00.8 -19◦46.8 325◦46.0 -20◦03.912 285◦18.0 19◦35.4 -22◦54.5 258◦21.5 12◦08.0 339◦02.7 -19◦46.6 340◦48.2 -20◦03.813 300◦20.5 34◦34.5 -22◦54.7 273◦22.9 12◦08.5 354◦04.5 -19◦46.5 355◦50.3 -20◦03.714 315◦22.9 49◦33.6 -22◦54.9 288◦24.3 12◦08.9 9◦06.4 -19◦46.4 10◦52.5 -20◦03.715 330◦25.4 64◦32.6 -22◦55.1 303◦25.7 12◦09.4 24◦08.3 -19◦46.2 25◦54.6 -20◦03.616 345◦27.9 79◦31.7 -22◦55.3 318◦27.1 12◦09.8 39◦10.1 -19◦46.1 40◦56.8 -20◦03.617 0◦30.3 94◦30.8 -22◦55.5 333◦28.5 12◦10.2 54◦12.0 -19◦46.0 55◦59.0 -20◦03.518 15◦32.8 109◦29.8 -22◦55.7 348◦29.9 12◦10.7 69◦13.9 -19◦45.8 71◦01.1 -20◦03.419 30◦35.3 124◦28.9 -22◦55.9 3◦31.3 12◦11.1 84◦15.7 -19◦45.7 86◦03.3 -20◦03.420 45◦37.7 139◦28.0 -22◦56.1 18◦32.7 12◦11.6 99◦17.6 -19◦45.6 101◦05.5 -20◦03.321 60◦40.2 154◦27.1 -22◦56.2 33◦34.1 12◦12.0 114◦19.5 -19◦45.4 116◦07.6 -20◦03.222 75◦42.6 169◦26.1 -22◦56.4 48◦35.4 12◦12.5 129◦21.3 -19◦45.3 131◦09.8 -20◦03.223 90◦45.1 184◦25.2 -22◦56.6 63◦36.8 12◦12.9 144◦23.2 -19◦45.2 146◦11.9 -20◦03.1Mer.pass.:16:57 v-0.9 d-0.2 m-3.8 v1.4 d0.4 m-0.1 v1.9 d0.1 m-1.8 v2.2 d0.1 m0.6

Wed GHA GHA Dec GHA Dec GHA Dec GHA Dec0 105◦47.6 199◦24.3 -22◦56.8 78◦38.2 12◦13.3 159◦25.1 -19◦45.0 161◦14.1 -20◦03.11 120◦50.0 214◦23.3 -22◦57.0 93◦39.6 12◦13.8 174◦26.9 -19◦44.9 176◦16.3 -20◦03.02 135◦52.5 229◦22.4 -22◦57.2 108◦41.0 12◦14.2 189◦28.8 -19◦44.8 191◦18.4 -20◦02.93 150◦55.0 244◦21.4 -22◦57.4 123◦42.4 12◦14.7 204◦30.7 -19◦44.6 206◦20.6 -20◦02.94 165◦57.4 259◦20.5 -22◦57.5 138◦43.8 12◦15.1 219◦32.5 -19◦44.5 221◦22.8 -20◦02.85 180◦59.9 274◦19.6 -22◦57.7 153◦45.2 12◦15.5 234◦34.4 -19◦44.3 236◦24.9 -20◦02.76 196◦02.4 289◦18.6 -22◦57.9 168◦46.6 12◦16.0 249◦36.3 -19◦44.2 251◦27.1 -20◦02.77 211◦04.8 304◦17.7 -22◦58.1 183◦48.0 12◦16.4 264◦38.1 -19◦44.1 266◦29.3 -20◦02.68 226◦07.3 319◦16.8 -22◦58.2 198◦49.4 12◦16.9 279◦40.0 -19◦43.9 281◦31.4 -20◦02.69 241◦09.7 334◦15.8 -22◦58.4 213◦50.8 12◦17.3 294◦41.9 -19◦43.8 296◦33.6 -20◦02.510 256◦12.2 349◦14.9 -22◦58.6 228◦52.1 12◦17.8 309◦43.7 -19◦43.7 311◦35.7 -20◦02.411 271◦14.7 4◦14.0 -22◦58.8 243◦53.5 12◦18.2 324◦45.6 -19◦43.5 326◦37.9 -20◦02.412 286◦17.1 19◦13.0 -22◦58.9 258◦54.9 12◦18.6 339◦47.5 -19◦43.4 341◦40.1 -20◦02.313 301◦19.6 34◦12.1 -22◦59.1 273◦56.3 12◦19.1 354◦49.3 -19◦43.3 356◦42.2 -20◦02.214 316◦22.1 49◦11.2 -22◦59.3 288◦57.7 12◦19.5 9◦51.2 -19◦43.1 11◦44.4 -20◦02.215 331◦24.5 64◦10.2 -22◦59.4 303◦59.1 12◦20.0 24◦53.1 -19◦43.0 26◦46.6 -20◦02.116 346◦27.0 79◦09.3 -22◦59.6 319◦00.5 12◦20.4 39◦54.9 -19◦42.9 41◦48.7 -20◦02.017 1◦29.5 94◦08.4 -22◦59.8 334◦01.9 12◦20.9 54◦56.8 -19◦42.7 56◦50.9 -20◦02.018 16◦31.9 109◦07.4 -22◦59.9 349◦03.2 12◦21.3 69◦58.7 -19◦42.6 71◦53.0 -20◦01.919 31◦34.4 124◦06.5 -23◦00.1 4◦04.6 12◦21.7 85◦00.5 -19◦42.5 86◦55.2 -20◦01.920 46◦36.9 139◦05.5 -23◦00.3 19◦06.0 12◦22.2 100◦02.4 -19◦42.3 101◦57.4 -20◦01.821 61◦39.3 154◦04.6 -23◦00.4 34◦07.4 12◦22.6 115◦04.3 -19◦42.2 116◦59.5 -20◦01.722 76◦41.8 169◦03.7 -23◦00.6 49◦08.8 12◦23.1 130◦06.1 -19◦42.1 132◦01.7 -20◦01.723 91◦44.2 184◦02.7 -23◦00.7 64◦10.2 12◦23.5 145◦08.0 -19◦41.9 147◦03.9 -20◦01.6Mer.pass.:16:54 v-0.9 d-0.2 m-3.8 v1.4 d0.4 m-0.1 v1.9 d0.1 m-1.8 v2.2 d0.1 m0.6

StarsSHA Dec

Alpheratz 357◦38.2 29◦12.4Ankaa 353◦10.5 -42◦11.9

Schedar 349◦34.7 56◦39.3Diphda 348◦50.5 -17◦52.5

Achernar 335◦22.6 -57◦08.2Hamal 327◦54.7 23◦33.7Polaris 315◦15.0 89◦21.4Akamar 315◦14.1 -40◦13.6Menkar 314◦09.4 4◦10.2Mirfak 308◦32.5 49◦56.2

Aldebaran 290◦43.1 16◦33.0Rigel 281◦06.7 -8◦10.8

Capella 280◦26.3 46◦01.2Bellatrix 278◦26.0 6◦22.0Elnath 278◦05.6 28◦37.5Alnilam 275◦40.7 -1◦11.4

Betelgeuse 270◦55.3 7◦24.6Canopus 263◦53.3 -52◦42.5

Sirius 258◦28.7 -16◦44.6Adara 255◦08.0 -29◦00.1

Procyon 244◦53.8 5◦10.4Pollux 243◦20.8 27◦58.4Avior 234◦15.4 -59◦34.5Suhail 222◦48.2 -43◦30.9

Miaplacidus 221◦38.0 -69◦48.0Alphard 217◦50.7 -8◦44.9Regulus 207◦37.6 11◦51.8Dubhe 193◦44.8 61◦38.1

Denebola 182◦28.1 14◦27.3Gienah 175◦46.8 -17◦39.3Acrux 173◦03.5 -63◦12.5

Gacrux 171◦55.1 -57◦13.5Alioth 166◦16.0 55◦50.6Spica 158◦25.8 -11◦16.1Alcaid 152◦54.8 49◦12.4Hadar 148◦40.7 -60◦28.1

Menkent 148◦01.6 -36◦28.1Arcturus 145◦50.9 19◦04.7

Rigil Kent. 139◦45.0 -60◦54.9Zubenelg. 136◦59.8 -16◦07.6Kochab 137◦20.5 74◦03.9

Alphecca 126◦06.8 26◦38.6Antares 112◦20.1 -26◦28.5

Atria 107◦17.7 -69◦03.6Sabik 102◦06.8 -15◦44.9

Shaula 96◦15.2 -37◦07.0Rasalhague 96◦01.9 12◦32.7

Etamin 90◦44.2 51◦29.1Kaus Aust. 83◦37.2 -34◦22.4

Vega 80◦35.9 38◦48.1Nunki 75◦52.2 -26◦16.2Altair 62◦03.5 8◦55.4

Peacock 53◦11.5 -56◦40.2Deneb 49◦28.4 45◦21.4

Enif 33◦42.2 9◦58.2Alnair 27◦37.4 -46◦51.8

Fomalhaut 15◦18.4 -29◦30.9Scheat 13◦48.5 28◦11.8Markab 13◦33.3 15◦19.1

2021/1/4 SHA Mer.passVenus 96◦19.6 10:40Mars 333◦41.5 18:48

Jupiter 54◦06.1 13:27Saturn 55◦40.9 13:20

2021/1/5 SHA Mer.passVenus 94◦58.2 10:42Mars 333◦16.2 18:46

Jupiter 53◦51.8 13:24Saturn 55◦33.8 13:17

2021/1/6 SHA Mer.passVenus 93◦36.7 10:43Mars 332◦50.7 18:44

Jupiter 53◦37.5 13:21Saturn 55◦26.5 13:13

Horizontal paralaxVenus: 0.1Mars: 0.2

4

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2021 January 04 to Jan. 06

h Sun MoonMon GHA Dec GHA ν Dec d HP0 178◦47.7 -22◦43.1 297◦32.3 11.2 11◦30.5 -12.9 58.11 193◦47.4 -22◦42.8 312◦02.5 11.3 11◦17.6 -13.0 58.12 208◦47.1 -22◦42.6 326◦32.8 11.3 11◦04.6 -13.0 58.13 223◦46.8 -22◦42.3 341◦03.1 11.3 10◦51.5 -13.1 58.24 238◦46.5 -22◦42.0 355◦33.5 11.4 10◦38.4 -13.1 58.25 253◦46.3 -22◦41.8 10◦03.9 11.4 10◦25.2 -13.2 58.26 268◦46.0 -22◦41.5 24◦34.3 11.4 10◦12.0 -13.3 58.27 283◦45.7 -22◦41.2 39◦04.7 11.5 9◦58.7 -13.3 58.28 298◦45.4 -22◦41.0 53◦35.2 11.5 9◦45.4 -13.4 58.29 313◦45.1 -22◦40.7 68◦05.7 11.5 9◦31.9 -13.4 58.310 328◦44.8 -22◦40.4 82◦36.2 11.5 9◦18.5 -13.5 58.311 343◦44.6 -22◦40.1 97◦06.8 11.6 9◦05.0 -13.5 58.312 358◦44.3 -22◦39.9 111◦37.3 11.6 8◦51.4 -13.6 58.313 13◦44.0 -22◦39.6 126◦07.9 11.6 8◦37.8 -13.7 58.314 28◦43.7 -22◦39.3 140◦38.5 11.6 8◦24.1 -13.7 58.415 43◦43.4 -22◦39.0 155◦09.2 11.6 8◦10.4 -13.8 58.416 58◦43.2 -22◦38.8 169◦39.8 11.7 7◦56.6 -13.8 58.417 73◦42.9 -22◦38.5 184◦10.5 11.7 7◦42.8 -13.8 58.418 88◦42.6 -22◦38.2 198◦41.2 11.7 7◦28.9 -13.9 58.419 103◦42.3 -22◦37.9 213◦11.9 11.7 7◦15.0 -13.9 58.420 118◦42.0 -22◦37.7 227◦42.6 11.7 7◦01.0 -14.0 58.521 133◦41.8 -22◦37.4 242◦13.3 11.7 6◦47.0 -14.0 58.522 148◦41.5 -22◦37.1 256◦44.1 11.8 6◦33.0 -14.1 58.523 163◦41.2 -22◦36.8 271◦14.8 11.8 6◦18.9 -14.1 58.5

SD.=16.3 d=0.3 S.D.=15.9

Tue GHA Dec GHA ν Dec d HP0 178◦40.9 -22◦36.5 285◦45.6 11.8 6◦04.8 -14.1 58.51 193◦40.6 -22◦36.3 300◦16.4 11.8 5◦50.6 -14.2 58.52 208◦40.4 -22◦36.0 314◦47.2 11.8 5◦36.4 -14.2 58.63 223◦40.1 -22◦35.7 329◦18.0 11.8 5◦22.2 -14.3 58.64 238◦39.8 -22◦35.4 343◦48.8 11.8 5◦07.9 -14.3 58.65 253◦39.5 -22◦35.1 358◦19.6 11.8 4◦53.6 -14.3 58.66 268◦39.2 -22◦34.8 12◦50.5 11.8 4◦39.3 -14.3 58.67 283◦39.0 -22◦34.6 27◦21.3 11.8 4◦24.9 -14.4 58.68 298◦38.7 -22◦34.3 41◦52.2 11.8 4◦10.5 -14.4 58.79 313◦38.4 -22◦34.0 56◦23.0 11.8 3◦56.1 -14.4 58.710 328◦38.1 -22◦33.7 70◦53.8 11.8 3◦41.6 -14.5 58.711 343◦37.9 -22◦33.4 85◦24.7 11.8 3◦27.2 -14.5 58.712 358◦37.6 -22◦33.1 99◦55.5 11.8 3◦12.7 -14.5 58.713 13◦37.3 -22◦32.8 114◦26.4 11.8 2◦58.1 -14.5 58.714 28◦37.0 -22◦32.5 128◦57.2 11.8 2◦43.6 -14.6 58.715 43◦36.8 -22◦32.2 143◦28.1 11.8 2◦29.0 -14.6 58.816 58◦36.5 -22◦31.9 157◦58.9 11.8 2◦14.4 -14.6 58.817 73◦36.2 -22◦31.7 172◦29.7 11.8 1◦59.8 -14.6 58.818 88◦35.9 -22◦31.4 187◦00.5 11.8 1◦45.2 -14.6 58.819 103◦35.7 -22◦31.1 201◦31.4 11.8 1◦30.6 -14.6 58.820 118◦35.4 -22◦30.8 216◦02.2 11.8 1◦15.9 -14.7 58.821 133◦35.1 -22◦30.5 230◦33.0 11.8 1◦01.2 -14.7 58.922 148◦34.8 -22◦30.2 245◦03.8 11.8 0◦46.5 -14.7 58.923 163◦34.6 -22◦29.9 259◦34.5 11.8 0◦31.9 -14.7 58.9

SD.=16.3 d=0.3 S.D.=16.0

Wed GHA Dec GHA ν Dec d HP0 178◦34.3 -22◦29.6 274◦05.3 11.8 0◦17.1 -14.7 58.91 193◦34.0 -22◦29.3 288◦36.0 11.7 0◦02.4 -14.7 58.92 208◦33.7 -22◦29.0 303◦06.8 11.7 -0◦12.3 -14.7 58.93 223◦33.5 -22◦28.7 317◦37.5 11.7 -0◦27.0 -14.7 58.94 238◦33.2 -22◦28.4 332◦08.2 11.7 -0◦41.7 -14.7 59.05 253◦32.9 -22◦28.1 346◦38.9 11.7 -0◦56.5 -14.7 59.06 268◦32.6 -22◦27.8 1◦09.5 11.6 -1◦11.2 -14.7 59.07 283◦32.4 -22◦27.5 15◦40.2 11.6 -1◦26.0 -14.7 59.08 298◦32.1 -22◦27.1 30◦10.8 11.6 -1◦40.7 -14.7 59.09 313◦31.8 -22◦26.8 44◦41.4 11.6 -1◦55.4 -14.7 59.010 328◦31.5 -22◦26.5 59◦11.9 11.6 -2◦10.2 -14.7 59.011 343◦31.3 -22◦26.2 73◦42.5 11.5 -2◦24.9 -14.7 59.112 358◦31.0 -22◦25.9 88◦13.0 11.5 -2◦39.6 -14.7 59.113 13◦30.7 -22◦25.6 102◦43.5 11.5 -2◦54.3 -14.7 59.114 28◦30.5 -22◦25.3 117◦13.9 11.4 -3◦09.0 -14.7 59.115 43◦30.2 -22◦25.0 131◦44.4 11.4 -3◦23.7 -14.7 59.116 58◦29.9 -22◦24.7 146◦14.8 11.4 -3◦38.4 -14.7 59.117 73◦29.6 -22◦24.4 160◦45.1 11.3 -3◦53.1 -14.7 59.118 88◦29.4 -22◦24.0 175◦15.5 11.3 -4◦07.8 -14.7 59.219 103◦29.1 -22◦23.7 189◦45.8 11.3 -4◦22.4 -14.6 59.220 118◦28.8 -22◦23.4 204◦16.0 11.2 -4◦37.0 -14.6 59.221 133◦28.6 -22◦23.1 218◦46.2 11.2 -4◦51.7 -14.6 59.222 148◦28.3 -22◦22.8 233◦16.4 11.2 -5◦06.3 -14.6 59.223 163◦28.0 -22◦22.5 247◦46.6 11.1 -5◦20.8 -14.6 59.2

SD.=16.3 d=0.3 S.D.=16.1

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 08:19 10:29 –:– –:– 13:43 15:5270 08:01 09:42 –:– –:– 14:29 16:1068 07:47 09:12 11:27 12:45 14:60 16:2566 07:35 08:49 10:19 13:52 15:22 16:3764 07:25 08:31 09:44 14:27 15:40 16:4762 07:16 08:16 09:19 14:52 15:55 16:5660 07:08 08:04 08:59 15:12 16:08 17:0358 07:01 07:53 08:43 15:28 16:18 17:1056 06:55 07:43 08:29 15:42 16:28 17:1754 06:49 07:35 08:18 15:54 16:37 17:2252 06:44 07:27 08:07 16:04 16:44 17:2850 06:39 07:20 07:58 16:13 16:51 17:3245 06:28 07:05 07:38 16:33 17:07 17:4340 06:18 06:52 07:22 16:49 17:19 17:5335 06:09 06:41 07:08 17:03 17:31 18:0230 06:01 06:31 06:57 17:14 17:41 18:1020 05:45 06:12 06:36 17:35 17:59 18:2610 05:30 05:56 06:19 17:53 18:15 18:410 05:13 05:39 06:02 18:09 18:32 18:58-10 04:55 05:22 05:45 18:26 18:49 19:16-20 04:33 05:02 05:27 18:44 19:09 19:38-30 04:05 04:38 05:05 19:05 19:32 20:05-35 03:47 04:24 04:53 19:18 19:47 20:23-40 03:25 04:06 04:39 19:32 20:04 20:45-45 02:56 03:45 04:21 19:49 20:26 21:14-50 02:14 03:16 03:60 20:11 20:54 21:56-52 01:49 03:02 03:50 20:21 21:08 22:20-54 01:13 02:46 03:38 20:32 21:24 22:55-56 –:– 02:25 03:25 20:46 21:45 –:–-58 –:– 01:59 03:09 21:01 22:11 –:–-60 –:– 01:20 02:50 21:20 22:48 –:–

Moonrise MoonsetLat. Mon Tue Wed Mon Tue Wed72 21:30 23:40 –:– 12:26 11:58 11:3370 21:40 23:41 –:– 12:13 11:54 11:3668 21:48 23:41 –:– 12:03 11:51 11:3966 21:54 23:41 –:– 11:54 11:48 11:4264 21:60 23:41 –:– 11:47 11:45 11:4462 22:05 23:42 –:– 11:40 11:43 11:4660 22:09 23:42 –:– 11:35 11:41 11:4758 22:13 23:42 –:– 11:30 11:40 11:4956 22:16 23:42 –:– 11:26 11:38 11:5054 22:19 23:42 –:– 11:22 11:37 11:5152 22:21 23:42 –:– 11:18 11:36 11:5250 22:24 23:42 –:– 11:15 11:34 11:5345 22:29 23:42 –:– 11:08 11:32 11:5640 22:33 23:43 –:– 11:02 11:30 11:5735 22:37 23:43 –:– 10:56 11:28 11:5930 22:40 23:43 –:– 10:52 11:26 12:0020 22:46 23:43 –:– 10:44 11:23 12:0310 22:51 23:43 –:– 10:37 11:21 12:050 22:55 23:44 –:– 10:30 11:18 12:07-10 23:00 23:44 –:– 10:23 11:16 12:09-20 23:05 23:44 –:– 10:16 11:13 12:11-30 23:11 23:45 –:– 10:08 11:10 12:13-35 23:14 23:45 –:– 10:03 11:08 12:15-40 23:17 23:45 –:– 09:57 11:06 12:16-45 23:22 23:45 –:– 09:51 11:04 12:18-50 23:27 23:46 –:– 09:43 11:01 12:20-52 23:29 23:46 –:– 09:39 10:60 12:21-54 23:31 23:46 –:– 09:35 10:58 12:22-56 23:34 23:46 23:59 09:31 10:57 12:23-58 23:37 23:46 23:56 09:26 10:55 12:25-60 23:41 23:47 23:53 09:20 10:53 12:26

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower4 04:49 05:03 12:05 04:18 16:42 21(71%)5 05:16 05:30 12:05 05:06 17:31 22(60%)6 05:43 05:56 12:05 05:55 18:19 23(49%)

5

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January 07, 08 ,09 (Thu., Fri., Sat.)Aries Venus Mars Jupiter Saturn

Thu GHA GHA Dec GHA Dec GHA Dec GHA Dec0 106◦46.7 199◦01.8 -23◦00.9 79◦11.5 12◦24.0 160◦09.9 -19◦41.8 162◦06.0 -20◦01.51 121◦49.2 214◦00.9 -23◦01.0 94◦12.9 12◦24.4 175◦11.7 -19◦41.7 177◦08.2 -20◦01.52 136◦51.6 228◦59.9 -23◦01.2 109◦14.3 12◦24.8 190◦13.6 -19◦41.5 192◦10.3 -20◦01.43 151◦54.1 243◦59.0 -23◦01.3 124◦15.7 12◦25.3 205◦15.5 -19◦41.4 207◦12.5 -20◦01.44 166◦56.6 258◦58.0 -23◦01.5 139◦17.1 12◦25.7 220◦17.3 -19◦41.3 222◦14.7 -20◦01.35 181◦59.0 273◦57.1 -23◦01.7 154◦18.4 12◦26.2 235◦19.2 -19◦41.1 237◦16.8 -20◦01.26 197◦01.5 288◦56.2 -23◦01.8 169◦19.8 12◦26.6 250◦21.0 -19◦41.0 252◦19.0 -20◦01.27 212◦04.0 303◦55.2 -23◦01.9 184◦21.2 12◦27.1 265◦22.9 -19◦40.9 267◦21.2 -20◦01.18 227◦06.4 318◦54.3 -23◦02.1 199◦22.6 12◦27.5 280◦24.8 -19◦40.7 282◦23.3 -20◦01.09 242◦08.9 333◦53.4 -23◦02.2 214◦24.0 12◦27.9 295◦26.6 -19◦40.6 297◦25.5 -20◦01.010 257◦11.4 348◦52.4 -23◦02.4 229◦25.3 12◦28.4 310◦28.5 -19◦40.4 312◦27.6 -20◦00.911 272◦13.8 3◦51.5 -23◦02.5 244◦26.7 12◦28.8 325◦30.4 -19◦40.3 327◦29.8 -20◦00.812 287◦16.3 18◦50.5 -23◦02.7 259◦28.1 12◦29.3 340◦32.2 -19◦40.2 342◦32.0 -20◦00.813 302◦18.7 33◦49.6 -23◦02.8 274◦29.5 12◦29.7 355◦34.1 -19◦40.0 357◦34.1 -20◦00.714 317◦21.2 48◦48.7 -23◦02.9 289◦30.8 12◦30.2 10◦36.0 -19◦39.9 12◦36.3 -20◦00.715 332◦23.7 63◦47.7 -23◦03.1 304◦32.2 12◦30.6 25◦37.8 -19◦39.8 27◦38.4 -20◦00.616 347◦26.1 78◦46.8 -23◦03.2 319◦33.6 12◦31.1 40◦39.7 -19◦39.6 42◦40.6 -20◦00.517 2◦28.6 93◦45.8 -23◦03.4 334◦35.0 12◦31.5 55◦41.6 -19◦39.5 57◦42.8 -20◦00.518 17◦31.1 108◦44.9 -23◦03.5 349◦36.3 12◦31.9 70◦43.4 -19◦39.4 72◦44.9 -20◦00.419 32◦33.5 123◦44.0 -23◦03.6 4◦37.7 12◦32.4 85◦45.3 -19◦39.2 87◦47.1 -20◦00.320 47◦36.0 138◦43.0 -23◦03.8 19◦39.1 12◦32.8 100◦47.2 -19◦39.1 102◦49.3 -20◦00.321 62◦38.5 153◦42.1 -23◦03.9 34◦40.4 12◦33.3 115◦49.0 -19◦39.0 117◦51.4 -20◦00.222 77◦40.9 168◦41.1 -23◦04.0 49◦41.8 12◦33.7 130◦50.9 -19◦38.8 132◦53.6 -20◦00.123 92◦43.4 183◦40.2 -23◦04.1 64◦43.2 12◦34.2 145◦52.8 -19◦38.7 147◦55.7 -20◦00.1Mer.pass.:16:50 v-0.9 d-0.2 m-3.8 v1.4 d0.4 m-0.1 v1.9 d0.1 m-1.8 v2.2 d0.1 m0.6

Fri GHA GHA Dec GHA Dec GHA Dec GHA Dec0 107◦45.8 198◦39.3 -23◦04.3 79◦44.6 12◦34.6 160◦54.6 -19◦38.5 162◦57.9 -20◦00.01 122◦48.3 213◦38.3 -23◦04.4 94◦45.9 12◦35.0 175◦56.5 -19◦38.4 178◦00.1 -19◦60.02 137◦50.8 228◦37.4 -23◦04.5 109◦47.3 12◦35.5 190◦58.3 -19◦38.3 193◦02.2 -19◦59.93 152◦53.2 243◦36.4 -23◦04.6 124◦48.7 12◦35.9 206◦00.2 -19◦38.1 208◦04.4 -19◦59.84 167◦55.7 258◦35.5 -23◦04.8 139◦50.0 12◦36.4 221◦02.1 -19◦38.0 223◦06.5 -19◦59.85 182◦58.2 273◦34.6 -23◦04.9 154◦51.4 12◦36.8 236◦03.9 -19◦37.9 238◦08.7 -19◦59.76 198◦00.6 288◦33.6 -23◦05.0 169◦52.8 12◦37.3 251◦05.8 -19◦37.7 253◦10.9 -19◦59.67 213◦03.1 303◦32.7 -23◦05.1 184◦54.1 12◦37.7 266◦07.7 -19◦37.6 268◦13.0 -19◦59.68 228◦05.6 318◦31.7 -23◦05.2 199◦55.5 12◦38.2 281◦09.5 -19◦37.5 283◦15.2 -19◦59.59 243◦08.0 333◦30.8 -23◦05.4 214◦56.9 12◦38.6 296◦11.4 -19◦37.3 298◦17.4 -19◦59.410 258◦10.5 348◦29.8 -23◦05.5 229◦58.2 12◦39.0 311◦13.3 -19◦37.2 313◦19.5 -19◦59.411 273◦13.0 3◦28.9 -23◦05.6 244◦59.6 12◦39.5 326◦15.1 -19◦37.1 328◦21.7 -19◦59.312 288◦15.4 18◦28.0 -23◦05.7 260◦01.0 12◦39.9 341◦17.0 -19◦36.9 343◦23.8 -19◦59.313 303◦17.9 33◦27.0 -23◦05.8 275◦02.3 12◦40.4 356◦18.9 -19◦36.8 358◦26.0 -19◦59.214 318◦20.3 48◦26.1 -23◦05.9 290◦03.7 12◦40.8 11◦20.7 -19◦36.6 13◦28.2 -19◦59.115 333◦22.8 63◦25.1 -23◦06.0 305◦05.1 12◦41.3 26◦22.6 -19◦36.5 28◦30.3 -19◦59.116 348◦25.3 78◦24.2 -23◦06.1 320◦06.4 12◦41.7 41◦24.5 -19◦36.4 43◦32.5 -19◦59.017 3◦27.7 93◦23.2 -23◦06.2 335◦07.8 12◦42.2 56◦26.3 -19◦36.2 58◦34.6 -19◦58.918 18◦30.2 108◦22.3 -23◦06.3 350◦09.1 12◦42.6 71◦28.2 -19◦36.1 73◦36.8 -19◦58.919 33◦32.7 123◦21.4 -23◦06.4 5◦10.5 12◦43.0 86◦30.0 -19◦36.0 88◦39.0 -19◦58.820 48◦35.1 138◦20.4 -23◦06.5 20◦11.9 12◦43.5 101◦31.9 -19◦35.8 103◦41.1 -19◦58.721 63◦37.6 153◦19.5 -23◦06.6 35◦13.2 12◦43.9 116◦33.8 -19◦35.7 118◦43.3 -19◦58.722 78◦40.1 168◦18.5 -23◦06.7 50◦14.6 12◦44.4 131◦35.6 -19◦35.5 133◦45.4 -19◦58.623 93◦42.5 183◦17.6 -23◦06.8 65◦15.9 12◦44.8 146◦37.5 -19◦35.4 148◦47.6 -19◦58.5Mer.pass.:16:46 v-0.9 d-0.1 m-3.8 v1.4 d0.4 m-0.1 v1.9 d0.1 m-1.8 v2.2 d0.1 m0.6

Sat GHA GHA Dec GHA Dec GHA Dec GHA Dec0 108◦45.0 198◦16.6 -23◦06.9 80◦17.3 12◦45.3 161◦39.4 -19◦35.3 163◦49.8 -19◦58.51 123◦47.5 213◦15.7 -23◦07.0 95◦18.7 12◦45.7 176◦41.2 -19◦35.1 178◦51.9 -19◦58.42 138◦49.9 228◦14.8 -23◦07.1 110◦20.0 12◦46.2 191◦43.1 -19◦35.0 193◦54.1 -19◦58.43 153◦52.4 243◦13.8 -23◦07.2 125◦21.4 12◦46.6 206◦45.0 -19◦34.9 208◦56.2 -19◦58.34 168◦54.8 258◦12.9 -23◦07.3 140◦22.7 12◦47.1 221◦46.8 -19◦34.7 223◦58.4 -19◦58.25 183◦57.3 273◦11.9 -23◦07.4 155◦24.1 12◦47.5 236◦48.7 -19◦34.6 239◦00.6 -19◦58.26 198◦59.8 288◦11.0 -23◦07.5 170◦25.4 12◦47.9 251◦50.5 -19◦34.5 254◦02.7 -19◦58.17 214◦02.2 303◦10.0 -23◦07.6 185◦26.8 12◦48.4 266◦52.4 -19◦34.3 269◦04.9 -19◦58.08 229◦04.7 318◦09.1 -23◦07.7 200◦28.2 12◦48.8 281◦54.3 -19◦34.2 284◦07.1 -19◦58.09 244◦07.2 333◦08.2 -23◦07.8 215◦29.5 12◦49.3 296◦56.1 -19◦34.0 299◦09.2 -19◦57.910 259◦09.6 348◦07.2 -23◦07.8 230◦30.9 12◦49.7 311◦58.0 -19◦33.9 314◦11.4 -19◦57.811 274◦12.1 3◦06.3 -23◦07.9 245◦32.2 12◦50.2 326◦59.9 -19◦33.8 329◦13.5 -19◦57.812 289◦14.6 18◦05.3 -23◦08.0 260◦33.6 12◦50.6 342◦01.7 -19◦33.6 344◦15.7 -19◦57.713 304◦17.0 33◦04.4 -23◦08.1 275◦34.9 12◦51.1 357◦03.6 -19◦33.5 359◦17.9 -19◦57.714 319◦19.5 48◦03.4 -23◦08.2 290◦36.3 12◦51.5 12◦05.5 -19◦33.4 14◦20.0 -19◦57.615 334◦22.0 63◦02.5 -23◦08.3 305◦37.6 12◦52.0 27◦07.3 -19◦33.2 29◦22.2 -19◦57.516 349◦24.4 78◦01.5 -23◦08.3 320◦39.0 12◦52.4 42◦09.2 -19◦33.1 44◦24.3 -19◦57.517 4◦26.9 93◦00.6 -23◦08.4 335◦40.3 12◦52.8 57◦11.0 -19◦32.9 59◦26.5 -19◦57.418 19◦29.3 107◦59.7 -23◦08.5 350◦41.7 12◦53.3 72◦12.9 -19◦32.8 74◦28.7 -19◦57.319 34◦31.8 122◦58.7 -23◦08.6 5◦43.0 12◦53.7 87◦14.8 -19◦32.7 89◦30.8 -19◦57.320 49◦34.3 137◦57.8 -23◦08.6 20◦44.4 12◦54.2 102◦16.6 -19◦32.5 104◦33.0 -19◦57.221 64◦36.7 152◦56.8 -23◦08.7 35◦45.7 12◦54.6 117◦18.5 -19◦32.4 119◦35.1 -19◦57.122 79◦39.2 167◦55.9 -23◦08.8 50◦47.1 12◦55.1 132◦20.4 -19◦32.3 134◦37.3 -19◦57.123 94◦41.7 182◦54.9 -23◦08.8 65◦48.4 12◦55.5 147◦22.2 -19◦32.1 149◦39.5 -19◦57.0Mer.pass.:16:42 v-0.9 d-0.1 m-3.8 v1.4 d0.4 m-0.0 v1.9 d0.1 m-1.8 v2.2 d0.1 m0.6

StarsSHA Dec

Alpheratz 357◦38.2 29◦12.4Ankaa 353◦10.5 -42◦11.9

Schedar 349◦34.7 56◦39.3Diphda 348◦50.5 -17◦52.5

Achernar 335◦22.7 -57◦08.2Hamal 327◦54.8 23◦33.7Polaris 315◦16.2 89◦21.4Akamar 315◦14.1 -40◦13.6Menkar 314◦09.4 4◦10.2Mirfak 308◦32.5 49◦56.2

Aldebaran 290◦43.1 16◦33.0Rigel 281◦06.7 -8◦10.8

Capella 280◦26.3 46◦01.2Bellatrix 278◦26.0 6◦22.0Elnath 278◦05.6 28◦37.5Alnilam 275◦40.7 -1◦11.4

Betelgeuse 270◦55.3 7◦24.5Canopus 263◦53.3 -52◦42.5

Sirius 258◦28.6 -16◦44.6Adara 255◦08.0 -29◦00.1

Procyon 244◦53.8 5◦10.3Pollux 243◦20.8 27◦58.4Avior 234◦15.3 -59◦34.5Suhail 222◦48.2 -43◦30.9

Miaplacidus 221◦38.0 -69◦48.0Alphard 217◦50.6 -8◦45.0Regulus 207◦37.6 11◦51.8Dubhe 193◦44.8 61◦38.1

Denebola 182◦28.1 14◦27.3Gienah 175◦46.8 -17◦39.3Acrux 173◦03.5 -63◦12.5

Gacrux 171◦55.1 -57◦13.5Alioth 166◦16.0 55◦50.6Spica 158◦25.7 -11◦16.1Alcaid 152◦54.7 49◦12.3Hadar 148◦40.7 -60◦28.1

Menkent 148◦01.5 -36◦28.1Arcturus 145◦50.9 19◦04.6

Rigil Kent. 139◦44.9 -60◦54.9Zubenelg. 136◦59.8 -16◦07.6Kochab 137◦20.5 74◦03.9

Alphecca 126◦06.8 26◦38.6Antares 112◦20.1 -26◦28.5

Atria 107◦17.7 -69◦03.6Sabik 102◦06.8 -15◦44.9

Shaula 96◦15.2 -37◦07.0Rasalhague 96◦01.9 12◦32.7

Etamin 90◦44.2 51◦29.1Kaus Aust. 83◦37.2 -34◦22.4

Vega 80◦35.9 38◦48.1Nunki 75◦52.2 -26◦16.2Altair 62◦03.5 8◦55.4

Peacock 53◦11.5 -56◦40.1Deneb 49◦28.4 45◦21.4

Enif 33◦42.2 9◦58.2Alnair 27◦37.4 -46◦51.8

Fomalhaut 15◦18.4 -29◦30.9Scheat 13◦48.5 28◦11.8Markab 13◦33.3 15◦19.1

2021/1/7 SHA Mer.passVenus 92◦15.1 10:45Mars 332◦24.8 18:42

Jupiter 53◦23.1 13:18Saturn 55◦19.3 13:10

2021/1/8 SHA Mer.passVenus 90◦53.4 10:46Mars 331◦58.7 18:39

Jupiter 53◦08.8 13:15Saturn 55◦12.1 13:06

2021/1/9 SHA Mer.passVenus 89◦31.7 10:48Mars 331◦32.3 18:37

Jupiter 52◦54.4 13:12Saturn 55◦04.8 13:03

Horizontal paralaxVenus: 0.1Mars: 0.1

6

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2021 January 07 to Jan. 09

h Sun MoonThu GHA Dec GHA ν Dec d HP0 178◦27.7 -22◦22.1 262◦16.7 11.1 -5◦35.4 -14.5 59.21 193◦27.5 -22◦21.8 276◦46.7 11.0 -5◦49.9 -14.5 59.22 208◦27.2 -22◦21.5 291◦16.8 11.0 -6◦04.4 -14.5 59.33 223◦26.9 -22◦21.2 305◦46.7 11.0 -6◦18.9 -14.5 59.34 238◦26.7 -22◦20.9 320◦16.7 10.9 -6◦33.3 -14.4 59.35 253◦26.4 -22◦20.5 334◦46.6 10.9 -6◦47.8 -14.4 59.36 268◦26.1 -22◦20.2 349◦16.4 10.8 -7◦02.2 -14.4 59.37 283◦25.9 -22◦19.9 3◦46.2 10.8 -7◦16.5 -14.3 59.38 298◦25.6 -22◦19.6 18◦16.0 10.7 -7◦30.9 -14.3 59.39 313◦25.3 -22◦19.3 32◦45.7 10.7 -7◦45.1 -14.3 59.310 328◦25.1 -22◦18.9 47◦15.3 10.6 -7◦59.4 -14.2 59.411 343◦24.8 -22◦18.6 61◦44.9 10.6 -8◦13.6 -14.2 59.412 358◦24.5 -22◦18.3 76◦14.4 10.5 -8◦27.8 -14.2 59.413 13◦24.2 -22◦17.9 90◦43.9 10.5 -8◦41.9 -14.1 59.414 28◦24.0 -22◦17.6 105◦13.4 10.4 -8◦56.0 -14.1 59.415 43◦23.7 -22◦17.3 119◦42.7 10.3 -9◦10.1 -14.0 59.416 58◦23.4 -22◦17.0 134◦12.1 10.3 -9◦24.1 -14.0 59.417 73◦23.2 -22◦16.6 148◦41.3 10.2 -9◦38.1 -13.9 59.418 88◦22.9 -22◦16.3 163◦10.5 10.2 -9◦52.0 -13.9 59.419 103◦22.6 -22◦16.0 177◦39.7 10.1 -10◦05.9 -13.8 59.420 118◦22.4 -22◦15.6 192◦08.8 10.1 -10◦19.7 -13.8 59.521 133◦22.1 -22◦15.3 206◦37.8 10.0 -10◦33.5 -13.7 59.522 148◦21.9 -22◦15.0 221◦06.7 9.9 -10◦47.2 -13.7 59.523 163◦21.6 -22◦14.6 235◦35.6 9.9 -11◦00.8 -13.6 59.5

SD.=16.3 d=0.3 S.D.=16.2

Fri GHA Dec GHA ν Dec d HP0 178◦21.3 -22◦14.3 250◦04.5 9.8 -11◦14.4 -13.6 59.51 193◦21.1 -22◦13.9 264◦33.3 9.7 -11◦28.0 -13.5 59.52 208◦20.8 -22◦13.6 279◦02.0 9.7 -11◦41.4 -13.5 59.53 223◦20.5 -22◦13.3 293◦30.6 9.6 -11◦54.9 -13.4 59.54 238◦20.3 -22◦12.9 307◦59.2 9.5 -12◦08.2 -13.3 59.55 253◦20.0 -22◦12.6 322◦27.7 9.5 -12◦21.5 -13.3 59.56 268◦19.7 -22◦12.3 336◦56.1 9.4 -12◦34.7 -13.2 59.57 283◦19.5 -22◦11.9 351◦24.5 9.3 -12◦47.9 -13.1 59.68 298◦19.2 -22◦11.6 5◦52.8 9.3 -13◦01.0 -13.1 59.69 313◦18.9 -22◦11.2 20◦21.0 9.2 -13◦14.0 -13.0 59.610 328◦18.7 -22◦10.9 34◦49.1 9.1 -13◦27.0 -12.9 59.611 343◦18.4 -22◦10.5 49◦17.2 9.0 -13◦39.8 -12.8 59.612 358◦18.2 -22◦10.2 63◦45.2 9.0 -13◦52.6 -12.8 59.613 13◦17.9 -22◦09.8 78◦13.2 8.9 -14◦05.4 -12.7 59.614 28◦17.6 -22◦09.5 92◦41.0 8.8 -14◦18.0 -12.6 59.615 43◦17.4 -22◦09.1 107◦08.8 8.7 -14◦30.6 -12.5 59.616 58◦17.1 -22◦08.8 121◦36.5 8.7 -14◦43.0 -12.4 59.617 73◦16.9 -22◦08.5 136◦04.2 8.6 -14◦55.4 -12.4 59.618 88◦16.6 -22◦08.1 150◦31.7 8.5 -15◦07.8 -12.3 59.619 103◦16.3 -22◦07.7 164◦59.2 8.4 -15◦20.0 -12.2 59.620 118◦16.1 -22◦07.4 179◦26.6 8.4 -15◦32.1 -12.1 59.621 133◦15.8 -22◦07.0 193◦53.9 8.3 -15◦44.2 -12.0 59.622 148◦15.5 -22◦06.7 208◦21.2 8.2 -15◦56.1 -11.9 59.623 163◦15.3 -22◦06.3 222◦48.4 8.1 -16◦08.0 -11.8 59.6

SD.=16.3 d=0.3 S.D.=16.2

Sat GHA Dec GHA ν Dec d HP0 178◦15.0 -22◦06.0 237◦15.5 8.1 -16◦19.8 -11.7 59.71 193◦14.8 -22◦05.6 251◦42.5 8.0 -16◦31.4 -11.6 59.72 208◦14.5 -22◦05.3 266◦09.4 7.9 -16◦43.0 -11.5 59.73 223◦14.2 -22◦04.9 280◦36.3 7.8 -16◦54.5 -11.4 59.74 238◦14.0 -22◦04.6 295◦03.1 7.7 -17◦05.9 -11.3 59.75 253◦13.7 -22◦04.2 309◦29.8 7.7 -17◦17.1 -11.2 59.76 268◦13.5 -22◦03.8 323◦56.4 7.6 -17◦28.3 -11.1 59.77 283◦13.2 -22◦03.5 338◦23.0 7.5 -17◦39.4 -11.0 59.78 298◦13.0 -22◦03.1 352◦49.4 7.4 -17◦50.3 -10.9 59.79 313◦12.7 -22◦02.8 7◦15.8 7.4 -18◦01.2 -10.8 59.710 328◦12.4 -22◦02.4 21◦42.1 7.3 -18◦11.9 -10.7 59.711 343◦12.2 -22◦02.0 36◦08.4 7.2 -18◦22.5 -10.6 59.712 358◦11.9 -22◦01.7 50◦34.5 7.1 -18◦33.0 -10.5 59.713 13◦11.7 -22◦01.3 65◦00.6 7.0 -18◦43.4 -10.3 59.714 28◦11.4 -22◦00.9 79◦26.6 7.0 -18◦53.7 -10.2 59.715 43◦11.2 -22◦00.6 93◦52.5 6.9 -19◦03.9 -10.1 59.716 58◦10.9 -22◦00.2 108◦18.4 6.8 -19◦13.9 -10.0 59.717 73◦10.6 -21◦59.8 122◦44.2 6.7 -19◦23.8 -9.9 59.718 88◦10.4 -21◦59.5 137◦09.8 6.7 -19◦33.6 -9.7 59.719 103◦10.1 -21◦59.1 151◦35.5 6.6 -19◦43.3 -9.6 59.720 118◦09.9 -21◦58.7 166◦01.0 6.5 -19◦52.9 -9.5 59.721 133◦09.6 -21◦58.4 180◦26.5 6.4 -20◦02.3 -9.4 59.722 148◦09.4 -21◦58.0 194◦51.9 6.4 -20◦11.6 -9.2 59.723 163◦09.1 -21◦57.6 209◦17.2 6.3 -20◦20.8 -9.1 59.7

SD.=16.3 d=0.4 S.D.=16.3

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 08:14 10:18 –:– –:– 13:56 15:6070 07:57 09:36 –:– –:– 14:39 16:1768 07:44 09:07 11:08 13:07 15:07 16:3166 07:32 08:45 10:12 14:02 15:29 16:4264 07:22 08:28 09:39 14:35 15:46 16:5262 07:14 08:14 09:15 14:59 16:00 17:0060 07:06 08:02 08:57 15:17 16:12 17:0858 06:60 07:51 08:41 15:33 16:23 17:1456 06:54 07:42 08:28 15:46 16:32 17:2054 06:48 07:33 08:16 15:58 16:40 17:2652 06:43 07:26 08:06 16:08 16:48 17:3150 06:38 07:19 07:57 16:17 16:55 17:3645 06:27 07:04 07:37 16:36 17:10 17:4640 06:18 06:52 07:22 16:52 17:22 17:5635 06:09 06:41 07:09 17:05 17:33 18:0430 06:01 06:31 06:57 17:17 17:43 18:1220 05:46 06:13 06:37 17:37 18:00 18:2810 05:31 05:57 06:20 17:54 18:17 18:430 05:15 05:41 06:03 18:11 18:33 18:59-10 04:57 05:24 05:46 18:27 18:50 19:17-20 04:35 05:04 05:29 18:45 19:09 19:38-30 04:08 04:41 05:08 19:06 19:33 20:05-35 03:50 04:26 04:56 19:18 19:47 20:23-40 03:29 04:09 04:41 19:32 20:04 20:44-45 03:00 03:48 04:25 19:48 20:25 21:12-50 02:20 03:21 04:04 20:09 20:52 21:53-52 01:56 03:07 03:54 20:19 21:06 22:16-54 01:23 02:51 03:42 20:30 21:22 22:48-56 –:– 02:31 03:29 20:43 21:41 –:–-58 –:– 02:06 03:14 20:58 22:06 –:–-60 –:– 01:31 02:56 21:16 22:40 –:–

Moonrise MoonsetLat. Thu Fri Sat Thu Fri Sat72 01:53 04:18 –:– 11:05 10:27 –:–70 01:43 03:55 06:31 11:17 10:53 10:1068 01:36 03:37 05:51 11:27 11:13 10:5166 01:30 03:23 05:23 11:35 11:28 11:2064 01:24 03:11 05:03 11:43 11:42 11:4262 01:20 03:01 04:46 11:49 11:53 11:5960 01:16 02:53 04:32 11:54 12:02 12:1458 01:12 02:45 04:20 11:59 12:11 12:2756 01:09 02:39 04:10 12:03 12:18 12:3854 01:07 02:33 04:01 12:07 12:25 12:4752 01:04 02:28 03:53 12:10 12:31 12:5650 01:02 02:23 03:46 12:13 12:36 13:0445 00:57 02:13 03:31 12:20 12:48 13:2040 00:53 02:05 03:18 12:26 12:58 13:3435 00:50 01:58 03:08 12:31 13:06 13:4630 00:47 01:52 02:59 12:35 13:13 13:5620 00:41 01:41 02:43 12:43 13:26 14:1310 00:37 01:32 02:29 12:50 13:38 14:290 00:33 01:23 02:17 12:56 13:48 14:43-10 00:28 01:15 02:04 13:03 13:59 14:58-20 00:24 01:06 01:51 13:10 14:10 15:13-30 00:19 00:55 01:35 13:17 14:23 15:31-35 00:16 00:50 01:27 13:22 14:31 15:42-40 00:13 00:43 01:17 13:27 14:40 15:54-45 00:09 00:35 01:05 13:33 14:50 16:08-50 00:05 00:26 00:51 13:40 15:02 16:25-52 00:03 00:22 00:45 13:44 15:08 16:34-54 00:01 00:18 00:38 13:47 15:15 16:43-56 –:– 00:12 00:30 13:51 15:22 16:53-58 –:– 00:07 00:21 13:56 15:30 17:05-60 –:– 00:00 00:11 14:01 15:39 17:19

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower7 06:09 06:22 12:06 06:44 19:09 24(38%)8 06:35 06:47 12:06 07:35 20:02 25(27%)9 07:00 07:12 12:07 08:29 20:58 26(17%)

7

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January 10, 11 ,12 (Sun., Mon., Tue.)Aries Venus Mars Jupiter Saturn

Sun GHA GHA Dec GHA Dec GHA Dec GHA Dec0 109◦44.1 197◦54.0 -23◦08.9 80◦49.8 12◦56.0 162◦24.1 -19◦32.0 164◦41.6 -19◦56.91 124◦46.6 212◦53.0 -23◦09.0 95◦51.1 12◦56.4 177◦25.9 -19◦31.8 179◦43.8 -19◦56.92 139◦49.1 227◦52.1 -23◦09.0 110◦52.5 12◦56.9 192◦27.8 -19◦31.7 194◦45.9 -19◦56.83 154◦51.5 242◦51.1 -23◦09.1 125◦53.8 12◦57.3 207◦29.7 -19◦31.6 209◦48.1 -19◦56.84 169◦54.0 257◦50.2 -23◦09.2 140◦55.2 12◦57.7 222◦31.5 -19◦31.4 224◦50.3 -19◦56.75 184◦56.5 272◦49.3 -23◦09.2 155◦56.5 12◦58.2 237◦33.4 -19◦31.3 239◦52.4 -19◦56.66 199◦58.9 287◦48.3 -23◦09.3 170◦57.8 12◦58.6 252◦35.3 -19◦31.1 254◦54.6 -19◦56.67 215◦01.4 302◦47.4 -23◦09.4 185◦59.2 12◦59.1 267◦37.1 -19◦31.0 269◦56.7 -19◦56.58 230◦03.8 317◦46.4 -23◦09.4 201◦00.5 12◦59.5 282◦39.0 -19◦30.9 284◦58.9 -19◦56.49 245◦06.3 332◦45.5 -23◦09.5 216◦01.9 12◦60.0 297◦40.9 -19◦30.7 300◦01.1 -19◦56.410 260◦08.8 347◦44.5 -23◦09.5 231◦03.2 13◦00.4 312◦42.7 -19◦30.6 315◦03.2 -19◦56.311 275◦11.2 2◦43.6 -23◦09.6 246◦04.6 13◦00.9 327◦44.6 -19◦30.5 330◦05.4 -19◦56.212 290◦13.7 17◦42.6 -23◦09.6 261◦05.9 13◦01.3 342◦46.4 -19◦30.3 345◦07.5 -19◦56.213 305◦16.2 32◦41.7 -23◦09.7 276◦07.2 13◦01.8 357◦48.3 -19◦30.2 0◦09.7 -19◦56.114 320◦18.6 47◦40.7 -23◦09.7 291◦08.6 13◦02.2 12◦50.2 -19◦30.0 15◦11.9 -19◦56.015 335◦21.1 62◦39.8 -23◦09.8 306◦09.9 13◦02.7 27◦52.0 -19◦29.9 30◦14.0 -19◦56.016 350◦23.6 77◦38.8 -23◦09.8 321◦11.3 13◦03.1 42◦53.9 -19◦29.8 45◦16.2 -19◦55.917 5◦26.0 92◦37.9 -23◦09.9 336◦12.6 13◦03.5 57◦55.8 -19◦29.6 60◦18.3 -19◦55.818 20◦28.5 107◦37.0 -23◦09.9 351◦13.9 13◦04.0 72◦57.6 -19◦29.5 75◦20.5 -19◦55.819 35◦30.9 122◦36.0 -23◦10.0 6◦15.3 13◦04.4 87◦59.5 -19◦29.4 90◦22.7 -19◦55.720 50◦33.4 137◦35.1 -23◦10.0 21◦16.6 13◦04.9 103◦01.3 -19◦29.2 105◦24.8 -19◦55.721 65◦35.9 152◦34.1 -23◦10.1 36◦18.0 13◦05.3 118◦03.2 -19◦29.1 120◦27.0 -19◦55.622 80◦38.3 167◦33.2 -23◦10.1 51◦19.3 13◦05.8 133◦05.1 -19◦28.9 135◦29.1 -19◦55.523 95◦40.8 182◦32.2 -23◦10.1 66◦20.6 13◦06.2 148◦06.9 -19◦28.8 150◦31.3 -19◦55.5Mer.pass.:16:38 v-0.9 d-0.1 m-3.8 v1.3 d0.4 m0.0 v1.9 d0.1 m-1.8 v2.2 d0.1 m0.6

Mon GHA GHA Dec GHA Dec GHA Dec GHA Dec0 110◦43.3 197◦31.3 -23◦10.2 81◦22.0 13◦06.7 163◦08.8 -19◦28.7 165◦33.5 -19◦55.41 125◦45.7 212◦30.3 -23◦10.2 96◦23.3 13◦07.1 178◦10.7 -19◦28.5 180◦35.6 -19◦55.32 140◦48.2 227◦29.4 -23◦10.2 111◦24.6 13◦07.6 193◦12.5 -19◦28.4 195◦37.8 -19◦55.33 155◦50.7 242◦28.4 -23◦10.3 126◦26.0 13◦08.0 208◦14.4 -19◦28.2 210◦39.9 -19◦55.24 170◦53.1 257◦27.5 -23◦10.3 141◦27.3 13◦08.5 223◦16.2 -19◦28.1 225◦42.1 -19◦55.15 185◦55.6 272◦26.5 -23◦10.3 156◦28.6 13◦08.9 238◦18.1 -19◦28.0 240◦44.2 -19◦55.16 200◦58.1 287◦25.6 -23◦10.4 171◦30.0 13◦09.3 253◦20.0 -19◦27.8 255◦46.4 -19◦55.07 216◦00.5 302◦24.7 -23◦10.4 186◦31.3 13◦09.8 268◦21.8 -19◦27.7 270◦48.6 -19◦54.98 231◦03.0 317◦23.7 -23◦10.4 201◦32.6 13◦10.2 283◦23.7 -19◦27.5 285◦50.7 -19◦54.99 246◦05.4 332◦22.8 -23◦10.5 216◦34.0 13◦10.7 298◦25.5 -19◦27.4 300◦52.9 -19◦54.810 261◦07.9 347◦21.8 -23◦10.5 231◦35.3 13◦11.1 313◦27.4 -19◦27.3 315◦55.0 -19◦54.711 276◦10.4 2◦20.9 -23◦10.5 246◦36.6 13◦11.6 328◦29.3 -19◦27.1 330◦57.2 -19◦54.712 291◦12.8 17◦19.9 -23◦10.5 261◦38.0 13◦12.0 343◦31.1 -19◦27.0 345◦59.4 -19◦54.613 306◦15.3 32◦19.0 -23◦10.6 276◦39.3 13◦12.5 358◦33.0 -19◦26.8 1◦01.5 -19◦54.614 321◦17.8 47◦18.0 -23◦10.6 291◦40.6 13◦12.9 13◦34.9 -19◦26.7 16◦03.7 -19◦54.515 336◦20.2 62◦17.1 -23◦10.6 306◦42.0 13◦13.4 28◦36.7 -19◦26.6 31◦05.8 -19◦54.416 351◦22.7 77◦16.1 -23◦10.6 321◦43.3 13◦13.8 43◦38.6 -19◦26.4 46◦08.0 -19◦54.417 6◦25.2 92◦15.2 -23◦10.6 336◦44.6 13◦14.3 58◦40.4 -19◦26.3 61◦10.2 -19◦54.318 21◦27.6 107◦14.2 -23◦10.6 351◦45.9 13◦14.7 73◦42.3 -19◦26.1 76◦12.3 -19◦54.219 36◦30.1 122◦13.3 -23◦10.7 6◦47.3 13◦15.2 88◦44.2 -19◦26.0 91◦14.5 -19◦54.220 51◦32.6 137◦12.3 -23◦10.7 21◦48.6 13◦15.6 103◦46.0 -19◦25.9 106◦16.6 -19◦54.121 66◦35.0 152◦11.4 -23◦10.7 36◦49.9 13◦16.0 118◦47.9 -19◦25.7 121◦18.8 -19◦54.022 81◦37.5 167◦10.4 -23◦10.7 51◦51.3 13◦16.5 133◦49.8 -19◦25.6 136◦21.0 -19◦54.023 96◦39.9 182◦09.5 -23◦10.7 66◦52.6 13◦16.9 148◦51.6 -19◦25.4 151◦23.1 -19◦53.9Mer.pass.:16:34 v-0.9 d-0.0 m-3.8 v1.3 d0.4 m0.0 v1.9 d0.1 m-1.8 v2.2 d0.1 m0.6

Tue GHA GHA Dec GHA Dec GHA Dec GHA Dec0 111◦42.4 197◦08.6 -23◦10.7 81◦53.9 13◦17.4 163◦53.5 -19◦25.3 166◦25.3 -19◦53.81 126◦44.9 212◦07.6 -23◦10.7 96◦55.2 13◦17.8 178◦55.3 -19◦25.2 181◦27.4 -19◦53.82 141◦47.3 227◦06.7 -23◦10.7 111◦56.6 13◦18.3 193◦57.2 -19◦25.0 196◦29.6 -19◦53.73 156◦49.8 242◦05.7 -23◦10.7 126◦57.9 13◦18.7 208◦59.1 -19◦24.9 211◦31.7 -19◦53.64 171◦52.3 257◦04.8 -23◦10.7 141◦59.2 13◦19.2 224◦00.9 -19◦24.8 226◦33.9 -19◦53.65 186◦54.7 272◦03.8 -23◦10.7 157◦00.5 13◦19.6 239◦02.8 -19◦24.6 241◦36.1 -19◦53.56 201◦57.2 287◦02.9 -23◦10.7 172◦01.8 13◦20.1 254◦04.6 -19◦24.5 256◦38.2 -19◦53.47 216◦59.7 302◦01.9 -23◦10.7 187◦03.2 13◦20.5 269◦06.5 -19◦24.3 271◦40.4 -19◦53.48 232◦02.1 317◦01.0 -23◦10.7 202◦04.5 13◦21.0 284◦08.4 -19◦24.2 286◦42.5 -19◦53.39 247◦04.6 332◦00.0 -23◦10.7 217◦05.8 13◦21.4 299◦10.2 -19◦24.0 301◦44.7 -19◦53.310 262◦07.1 346◦59.1 -23◦10.7 232◦07.1 13◦21.9 314◦12.1 -19◦23.9 316◦46.9 -19◦53.211 277◦09.5 1◦58.1 -23◦10.7 247◦08.5 13◦22.3 329◦13.9 -19◦23.8 331◦49.0 -19◦53.112 292◦12.0 16◦57.2 -23◦10.7 262◦09.8 13◦22.7 344◦15.8 -19◦23.6 346◦51.2 -19◦53.113 307◦14.4 31◦56.2 -23◦10.7 277◦11.1 13◦23.2 359◦17.7 -19◦23.5 1◦53.3 -19◦53.014 322◦16.9 46◦55.3 -23◦10.7 292◦12.4 13◦23.6 14◦19.5 -19◦23.3 16◦55.5 -19◦52.915 337◦19.4 61◦54.3 -23◦10.7 307◦13.7 13◦24.1 29◦21.4 -19◦23.2 31◦57.7 -19◦52.916 352◦21.8 76◦53.4 -23◦10.7 322◦15.0 13◦24.5 44◦23.3 -19◦23.1 46◦59.8 -19◦52.817 7◦24.3 91◦52.4 -23◦10.7 337◦16.4 13◦25.0 59◦25.1 -19◦22.9 62◦02.0 -19◦52.718 22◦26.8 106◦51.5 -23◦10.7 352◦17.7 13◦25.4 74◦27.0 -19◦22.8 77◦04.1 -19◦52.719 37◦29.2 121◦50.6 -23◦10.6 7◦19.0 13◦25.9 89◦28.8 -19◦22.6 92◦06.3 -19◦52.620 52◦31.7 136◦49.6 -23◦10.6 22◦20.3 13◦26.3 104◦30.7 -19◦22.5 107◦08.4 -19◦52.521 67◦34.2 151◦48.7 -23◦10.6 37◦21.6 13◦26.8 119◦32.6 -19◦22.4 122◦10.6 -19◦52.522 82◦36.6 166◦47.7 -23◦10.6 52◦22.9 13◦27.2 134◦34.4 -19◦22.2 137◦12.8 -19◦52.423 97◦39.1 181◦46.8 -23◦10.6 67◦24.3 13◦27.7 149◦36.3 -19◦22.1 152◦14.9 -19◦52.3Mer.pass.:16:30 v-0.9 d-0.0 m-3.8 v1.3 d0.4 m0.0 v1.9 d0.1 m-1.8 v2.2 d0.1 m0.6

StarsSHA Dec

Alpheratz 357◦38.2 29◦12.4Ankaa 353◦10.5 -42◦11.9

Schedar 349◦34.7 56◦39.3Diphda 348◦50.5 -17◦52.5

Achernar 335◦22.7 -57◦08.2Hamal 327◦54.8 23◦33.7Polaris 315◦17.1 89◦21.4Akamar 315◦14.1 -40◦13.6Menkar 314◦09.4 4◦10.2Mirfak 308◦32.6 49◦56.2

Aldebaran 290◦43.1 16◦33.0Rigel 281◦06.7 -8◦10.8

Capella 280◦26.3 46◦01.2Bellatrix 278◦26.0 6◦22.0Elnath 278◦05.6 28◦37.5Alnilam 275◦40.7 -1◦11.4

Betelgeuse 270◦55.3 7◦24.5Canopus 263◦53.3 -52◦42.5

Sirius 258◦28.6 -16◦44.6Adara 255◦08.0 -29◦00.1

Procyon 244◦53.8 5◦10.3Pollux 243◦20.8 27◦58.4Avior 234◦15.3 -59◦34.5Suhail 222◦48.2 -43◦30.9

Miaplacidus 221◦37.9 -69◦48.0Alphard 217◦50.6 -8◦45.0Regulus 207◦37.6 11◦51.8Dubhe 193◦44.7 61◦38.1

Denebola 182◦28.1 14◦27.3Gienah 175◦46.8 -17◦39.4Acrux 173◦03.4 -63◦12.5

Gacrux 171◦55.0 -57◦13.5Alioth 166◦15.9 55◦50.5Spica 158◦25.7 -11◦16.1Alcaid 152◦54.7 49◦12.3Hadar 148◦40.6 -60◦28.1

Menkent 148◦01.5 -36◦28.1Arcturus 145◦50.8 19◦04.6

Rigil Kent. 139◦44.9 -60◦54.9Zubenelg. 136◦59.7 -16◦07.6Kochab 137◦20.4 74◦03.9

Alphecca 126◦06.7 26◦38.6Antares 112◦20.1 -26◦28.5

Atria 107◦17.6 -69◦03.6Sabik 102◦06.8 -15◦45.0

Shaula 96◦15.1 -37◦07.0Rasalhague 96◦01.9 12◦32.7

Etamin 90◦44.2 51◦29.1Kaus Aust. 83◦37.2 -34◦22.4

Vega 80◦35.9 38◦48.1Nunki 75◦52.2 -26◦16.2Altair 62◦03.5 8◦55.4

Peacock 53◦11.5 -56◦40.1Deneb 49◦28.4 45◦21.3

Enif 33◦42.2 9◦58.2Alnair 27◦37.4 -46◦51.8

Fomalhaut 15◦18.4 -29◦30.9Scheat 13◦48.5 28◦11.8Markab 13◦33.3 15◦19.0

2021/1/1 SHA Mer.passVenus 88◦09.9 10:49Mars 331◦05.6 18:35

Jupiter 52◦40.0 13:09Saturn 54◦57.5 12:59

2021/1/1 SHA Mer.passVenus 86◦48.0 10:51Mars 330◦38.7 18:33

Jupiter 52◦25.5 13:06Saturn 54◦50.2 12:56

2021/1/1 SHA Mer.passVenus 85◦26.1 10:52Mars 330◦11.5 18:31

Jupiter 52◦11.1 13:03Saturn 54◦42.9 12:52

Horizontal paralaxVenus: 0.1Mars: 0.1

8

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2021 January 10 to Jan. 12

h Sun MoonSun GHA Dec GHA ν Dec d HP0 178◦08.9 -21◦57.3 223◦42.4 6.2 -20◦29.8 -9.0 59.71 193◦08.6 -21◦56.9 238◦07.6 6.1 -20◦38.7 -8.8 59.72 208◦08.4 -21◦56.5 252◦32.7 6.1 -20◦47.5 -8.7 59.73 223◦08.1 -21◦56.1 266◦57.7 6.0 -20◦56.1 -8.6 59.74 238◦07.8 -21◦55.8 281◦22.7 5.9 -21◦04.6 -8.4 59.75 253◦07.6 -21◦55.4 295◦47.5 5.9 -21◦12.9 -8.3 59.76 268◦07.3 -21◦55.0 310◦12.4 5.8 -21◦21.2 -8.1 59.77 283◦07.1 -21◦54.6 324◦37.1 5.7 -21◦29.2 -8.0 59.68 298◦06.8 -21◦54.2 339◦01.8 5.7 -21◦37.2 -7.9 59.69 313◦06.6 -21◦53.9 353◦26.4 5.6 -21◦45.0 -7.7 59.610 328◦06.3 -21◦53.5 7◦51.0 5.5 -21◦52.6 -7.6 59.611 343◦06.1 -21◦53.1 22◦15.5 5.5 -22◦00.1 -7.4 59.612 358◦05.8 -21◦52.7 36◦39.9 5.4 -22◦07.5 -7.3 59.613 13◦05.6 -21◦52.3 51◦04.3 5.3 -22◦14.7 -7.1 59.614 28◦05.3 -21◦52.0 65◦28.6 5.3 -22◦21.7 -7.0 59.615 43◦05.1 -21◦51.6 79◦52.8 5.2 -22◦28.6 -6.8 59.616 58◦04.8 -21◦51.2 94◦17.0 5.2 -22◦35.4 -6.7 59.617 73◦04.6 -21◦50.8 108◦41.2 5.1 -22◦42.0 -6.5 59.618 88◦04.3 -21◦50.4 123◦05.2 5.1 -22◦48.4 -6.4 59.619 103◦04.1 -21◦50.0 137◦29.3 5.0 -22◦54.7 -6.2 59.620 118◦03.8 -21◦49.6 151◦53.2 5.0 -23◦00.9 -6.1 59.621 133◦03.6 -21◦49.3 166◦17.2 4.9 -23◦06.8 -5.9 59.622 148◦03.3 -21◦48.9 180◦41.1 4.9 -23◦12.7 -5.7 59.523 163◦03.1 -21◦48.5 195◦04.9 4.8 -23◦18.3 -5.6 59.5

SD.=16.3 d=0.4 S.D.=16.3

Mon GHA Dec GHA ν Dec d HP0 178◦02.8 -21◦48.1 209◦28.7 4.8 -23◦23.8 -5.4 59.51 193◦02.6 -21◦47.7 223◦52.4 4.7 -23◦29.2 -5.3 59.52 208◦02.3 -21◦47.3 238◦16.1 4.7 -23◦34.4 -5.1 59.53 223◦02.1 -21◦46.9 252◦39.8 4.6 -23◦39.4 -4.9 59.54 238◦01.8 -21◦46.5 267◦03.4 4.6 -23◦44.2 -4.8 59.55 253◦01.6 -21◦46.1 281◦27.0 4.6 -23◦48.9 -4.6 59.56 268◦01.4 -21◦45.7 295◦50.6 4.5 -23◦53.5 -4.4 59.57 283◦01.1 -21◦45.3 310◦14.1 4.5 -23◦57.8 -4.3 59.58 298◦00.9 -21◦44.9 324◦37.6 4.5 -24◦02.0 -4.1 59.49 313◦00.6 -21◦44.5 339◦01.1 4.5 -24◦06.1 -4.0 59.410 328◦00.4 -21◦44.1 353◦24.5 4.4 -24◦09.9 -3.8 59.411 343◦00.1 -21◦43.7 7◦47.9 4.4 -24◦13.6 -3.6 59.412 357◦59.9 -21◦43.3 22◦11.3 4.4 -24◦17.2 -3.4 59.413 12◦59.6 -21◦42.9 36◦34.7 4.4 -24◦20.5 -3.3 59.414 27◦59.4 -21◦42.5 50◦58.1 4.4 -24◦23.7 -3.1 59.415 42◦59.1 -21◦42.1 65◦21.4 4.3 -24◦26.8 -2.9 59.416 57◦58.9 -21◦41.7 79◦44.8 4.3 -24◦29.6 -2.8 59.317 72◦58.7 -21◦41.3 94◦08.1 4.3 -24◦32.3 -2.6 59.318 87◦58.4 -21◦40.9 108◦31.4 4.3 -24◦34.8 -2.4 59.319 102◦58.2 -21◦40.5 122◦54.7 4.3 -24◦37.2 -2.3 59.320 117◦57.9 -21◦40.1 137◦18.0 4.3 -24◦39.4 -2.1 59.321 132◦57.7 -21◦39.7 151◦41.3 4.3 -24◦41.4 -1.9 59.322 147◦57.4 -21◦39.3 166◦04.6 4.3 -24◦43.2 -1.8 59.223 162◦57.2 -21◦38.9 180◦27.9 4.3 -24◦44.9 -1.6 59.2

SD.=16.3 d=0.4 S.D.=16.2

Tue GHA Dec GHA ν Dec d HP0 177◦57.0 -21◦38.5 194◦51.2 4.3 -24◦46.4 -1.4 59.21 192◦56.7 -21◦38.1 209◦14.5 4.3 -24◦47.7 -1.2 59.22 207◦56.5 -21◦37.7 223◦37.8 4.3 -24◦48.8 -1.1 59.23 222◦56.2 -21◦37.3 238◦01.1 4.3 -24◦49.8 -0.9 59.24 237◦56.0 -21◦36.9 252◦24.4 4.3 -24◦50.6 -0.7 59.15 252◦55.7 -21◦36.4 266◦47.8 4.4 -24◦51.3 -0.6 59.16 267◦55.5 -21◦36.0 281◦11.1 4.4 -24◦51.8 -0.4 59.17 282◦55.3 -21◦35.6 295◦34.5 4.4 -24◦52.1 -0.2 59.18 297◦55.0 -21◦35.2 309◦57.9 4.4 -24◦52.2 -0.0 59.19 312◦54.8 -21◦34.8 324◦21.4 4.4 -24◦52.2 0.1 59.010 327◦54.5 -21◦34.4 338◦44.8 4.5 -24◦51.9 0.3 59.011 342◦54.3 -21◦34.0 353◦08.3 4.5 -24◦51.6 0.5 59.012 357◦54.1 -21◦33.5 7◦31.8 4.5 -24◦51.0 0.6 59.013 12◦53.8 -21◦33.1 21◦55.4 4.6 -24◦50.3 0.8 59.014 27◦53.6 -21◦32.7 36◦18.9 4.6 -24◦49.4 1.0 58.915 42◦53.4 -21◦32.3 50◦42.6 4.6 -24◦48.4 1.1 58.916 57◦53.1 -21◦31.9 65◦06.2 4.7 -24◦47.2 1.3 58.917 72◦52.9 -21◦31.5 79◦29.9 4.7 -24◦45.8 1.5 58.918 87◦52.6 -21◦31.0 93◦53.7 4.8 -24◦44.3 1.6 58.919 102◦52.4 -21◦30.6 108◦17.4 4.8 -24◦42.6 1.8 58.820 117◦52.2 -21◦30.2 122◦41.3 4.9 -24◦40.7 2.0 58.821 132◦51.9 -21◦29.8 137◦05.2 4.9 -24◦38.6 2.1 58.822 147◦51.7 -21◦29.3 151◦29.1 5.0 -24◦36.4 2.3 58.823 162◦51.5 -21◦28.9 165◦53.1 5.0 -24◦34.1 2.4 58.8

SD.=16.3 d=0.4 S.D.=16.2

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 08:09 10:07 –:– –:– 14:10 16:0870 07:53 09:28 –:– –:– 14:49 16:2468 07:40 09:01 10:51 13:25 15:15 16:3766 07:29 08:41 10:04 14:13 15:36 16:4864 07:20 08:25 09:34 14:43 15:52 16:5762 07:11 08:11 09:11 15:05 16:06 17:0560 07:04 07:59 08:53 15:24 16:17 17:1258 06:58 07:49 08:38 15:39 16:28 17:1956 06:52 07:40 08:25 15:51 16:37 17:2454 06:47 07:32 08:14 16:03 16:45 17:3052 06:42 07:25 08:04 16:12 16:52 17:3550 06:37 07:18 07:55 16:21 16:58 17:3945 06:27 07:03 07:36 16:40 17:13 17:4940 06:18 06:51 07:21 16:55 17:25 17:5935 06:09 06:41 07:08 17:08 17:36 18:0730 06:01 06:31 06:57 17:19 17:45 18:1520 05:47 06:14 06:37 17:39 18:02 18:3010 05:32 05:58 06:20 17:56 18:18 18:440 05:16 05:42 06:04 18:12 18:34 18:60-10 04:59 05:25 05:48 18:28 18:51 19:17-20 04:38 05:06 05:31 18:45 19:09 19:38-30 04:11 04:43 05:10 19:05 19:32 20:05-35 03:54 04:29 04:58 19:17 19:46 20:22-40 03:32 04:13 04:45 19:31 20:03 20:43-45 03:05 03:52 04:28 19:47 20:23 21:10-50 02:26 03:25 04:08 20:08 20:50 21:49-52 02:04 03:12 03:58 20:17 21:03 22:11-54 01:33 02:56 03:47 20:28 21:18 22:40-56 00:34 02:38 03:34 20:41 21:37 23:33-58 –:– 02:14 03:20 20:55 21:60 –:–-60 –:– 01:42 03:02 21:12 22:32 –:–

Moonrise MoonsetLat. Sun Mon Tue Sun Mon Tue72 –:– –:– –:– –:– –:– –:–70 –:– –:– –:– –:– –:– –:–68 09:05 –:– –:– 09:37 –:– –:–66 07:37 –:– –:– 11:06 –:– –:–64 06:59 08:53 10:18 11:45 11:56 12:4062 06:33 08:13 09:29 12:12 12:37 13:2960 06:12 07:45 08:58 12:33 13:05 13:6058 05:55 07:23 08:35 12:50 13:27 14:2356 05:41 07:06 08:16 13:05 13:45 14:4254 05:29 06:51 08:00 13:18 14:00 14:5852 05:18 06:38 07:46 13:29 14:13 15:1150 05:09 06:27 07:34 13:39 14:25 15:2345 04:49 06:03 07:10 13:60 14:49 15:4840 04:32 05:44 06:50 14:17 15:08 16:0835 04:19 05:28 06:33 14:31 15:24 16:2430 04:07 05:15 06:19 14:44 15:38 16:3920 03:47 04:52 05:55 15:05 16:02 17:0310 03:30 04:32 05:34 15:24 16:23 17:240 03:13 04:13 05:14 15:41 16:42 17:43-10 02:57 03:54 04:55 15:59 17:01 18:03-20 02:40 03:35 04:34 16:18 17:22 18:23-30 02:21 03:12 04:10 16:39 17:46 18:47-35 02:09 02:59 03:55 16:52 17:60 19:01-40 01:56 02:43 03:39 17:07 18:16 19:17-45 01:41 02:25 03:19 17:24 18:35 19:37-50 01:22 02:03 02:55 17:46 18:60 20:01-52 01:14 01:52 02:43 17:56 19:11 20:13-54 01:04 01:40 02:30 18:08 19:24 20:26-56 00:53 01:26 02:15 18:22 19:40 20:41-58 00:40 01:10 01:56 18:37 19:58 20:59-60 00:26 00:51 01:34 18:56 20:20 21:21

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower10 07:25 07:37 12:07 09:27 21:57 27(9%)11 07:49 08:01 12:08 10:27 22:58 28(4%)12 08:12 08:24 12:08 11:28 23:58 29(1%)

9

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January 13, 14 ,15 (Wed., Thu., Fri.)Aries Venus Mars Jupiter Saturn

Wed GHA GHA Dec GHA Dec GHA Dec GHA Dec0 112◦41.6 196◦45.8 -23◦10.6 82◦25.6 13◦28.1 164◦38.1 -19◦21.9 167◦17.1 -19◦52.31 127◦44.0 211◦44.9 -23◦10.5 97◦26.9 13◦28.6 179◦40.0 -19◦21.8 182◦19.2 -19◦52.22 142◦46.5 226◦43.9 -23◦10.5 112◦28.2 13◦29.0 194◦41.9 -19◦21.7 197◦21.4 -19◦52.13 157◦48.9 241◦43.0 -23◦10.5 127◦29.5 13◦29.5 209◦43.7 -19◦21.5 212◦23.6 -19◦52.14 172◦51.4 256◦42.0 -23◦10.5 142◦30.8 13◦29.9 224◦45.6 -19◦21.4 227◦25.7 -19◦52.05 187◦53.9 271◦41.1 -23◦10.4 157◦32.1 13◦30.4 239◦47.4 -19◦21.2 242◦27.9 -19◦51.96 202◦56.3 286◦40.1 -23◦10.4 172◦33.5 13◦30.8 254◦49.3 -19◦21.1 257◦30.0 -19◦51.97 217◦58.8 301◦39.2 -23◦10.4 187◦34.8 13◦31.2 269◦51.2 -19◦21.0 272◦32.2 -19◦51.88 233◦01.3 316◦38.2 -23◦10.3 202◦36.1 13◦31.7 284◦53.0 -19◦20.8 287◦34.3 -19◦51.89 248◦03.7 331◦37.3 -23◦10.3 217◦37.4 13◦32.1 299◦54.9 -19◦20.7 302◦36.5 -19◦51.710 263◦06.2 346◦36.3 -23◦10.3 232◦38.7 13◦32.6 314◦56.8 -19◦20.5 317◦38.7 -19◦51.611 278◦08.7 1◦35.4 -23◦10.2 247◦40.0 13◦33.0 329◦58.6 -19◦20.4 332◦40.8 -19◦51.612 293◦11.1 16◦34.5 -23◦10.2 262◦41.3 13◦33.5 345◦00.5 -19◦20.2 347◦43.0 -19◦51.513 308◦13.6 31◦33.5 -23◦10.2 277◦42.6 13◦33.9 0◦02.3 -19◦20.1 2◦45.1 -19◦51.414 323◦16.1 46◦32.6 -23◦10.1 292◦43.9 13◦34.4 15◦04.2 -19◦20.0 17◦47.3 -19◦51.415 338◦18.5 61◦31.6 -23◦10.1 307◦45.2 13◦34.8 30◦06.1 -19◦19.8 32◦49.5 -19◦51.316 353◦21.0 76◦30.7 -23◦10.0 322◦46.5 13◦35.3 45◦07.9 -19◦19.7 47◦51.6 -19◦51.217 8◦23.4 91◦29.7 -23◦10.0 337◦47.9 13◦35.7 60◦09.8 -19◦19.5 62◦53.8 -19◦51.218 23◦25.9 106◦28.8 -23◦10.0 352◦49.2 13◦36.2 75◦11.6 -19◦19.4 77◦55.9 -19◦51.119 38◦28.4 121◦27.8 -23◦09.9 7◦50.5 13◦36.6 90◦13.5 -19◦19.3 92◦58.1 -19◦51.020 53◦30.8 136◦26.9 -23◦09.9 22◦51.8 13◦37.1 105◦15.4 -19◦19.1 108◦00.2 -19◦51.021 68◦33.3 151◦25.9 -23◦09.8 37◦53.1 13◦37.5 120◦17.2 -19◦19.0 123◦02.4 -19◦50.922 83◦35.8 166◦25.0 -23◦09.8 52◦54.4 13◦38.0 135◦19.1 -19◦18.8 138◦04.6 -19◦50.823 98◦38.2 181◦24.0 -23◦09.7 67◦55.7 13◦38.4 150◦20.9 -19◦18.7 153◦06.7 -19◦50.8Mer.pass.:16:26 v-0.9 d0.0 m-3.8 v1.3 d0.4 m0.1 v1.9 d0.1 m-1.8 v2.2 d0.1 m0.6

Thu GHA GHA Dec GHA Dec GHA Dec GHA Dec0 113◦40.7 196◦23.1 -23◦09.7 82◦57.0 13◦38.9 165◦22.8 -19◦18.5 168◦08.9 -19◦50.71 128◦43.2 211◦22.1 -23◦09.6 97◦58.3 13◦39.3 180◦24.7 -19◦18.4 183◦11.0 -19◦50.62 143◦45.6 226◦21.2 -23◦09.6 112◦59.6 13◦39.7 195◦26.5 -19◦18.3 198◦13.2 -19◦50.63 158◦48.1 241◦20.3 -23◦09.5 128◦00.9 13◦40.2 210◦28.4 -19◦18.1 213◦15.3 -19◦50.54 173◦50.6 256◦19.3 -23◦09.5 143◦02.2 13◦40.6 225◦30.2 -19◦18.0 228◦17.5 -19◦50.45 188◦53.0 271◦18.4 -23◦09.4 158◦03.5 13◦41.1 240◦32.1 -19◦17.8 243◦19.7 -19◦50.46 203◦55.5 286◦17.4 -23◦09.3 173◦04.8 13◦41.5 255◦34.0 -19◦17.7 258◦21.8 -19◦50.37 218◦57.9 301◦16.5 -23◦09.3 188◦06.1 13◦42.0 270◦35.8 -19◦17.6 273◦24.0 -19◦50.28 234◦00.4 316◦15.5 -23◦09.2 203◦07.4 13◦42.4 285◦37.7 -19◦17.4 288◦26.1 -19◦50.29 249◦02.9 331◦14.6 -23◦09.2 218◦08.7 13◦42.9 300◦39.5 -19◦17.3 303◦28.3 -19◦50.110 264◦05.3 346◦13.6 -23◦09.1 233◦10.0 13◦43.3 315◦41.4 -19◦17.1 318◦30.5 -19◦50.011 279◦07.8 1◦12.7 -23◦09.0 248◦11.3 13◦43.8 330◦43.3 -19◦17.0 333◦32.6 -19◦50.012 294◦10.3 16◦11.7 -23◦09.0 263◦12.6 13◦44.2 345◦45.1 -19◦16.8 348◦34.8 -19◦49.913 309◦12.7 31◦10.8 -23◦08.9 278◦13.9 13◦44.7 0◦47.0 -19◦16.7 3◦36.9 -19◦49.914 324◦15.2 46◦09.8 -23◦08.8 293◦15.2 13◦45.1 15◦48.8 -19◦16.6 18◦39.1 -19◦49.815 339◦17.7 61◦08.9 -23◦08.8 308◦16.5 13◦45.6 30◦50.7 -19◦16.4 33◦41.2 -19◦49.716 354◦20.1 76◦08.0 -23◦08.7 323◦17.8 13◦46.0 45◦52.6 -19◦16.3 48◦43.4 -19◦49.717 9◦22.6 91◦07.0 -23◦08.6 338◦19.1 13◦46.5 60◦54.4 -19◦16.1 63◦45.6 -19◦49.618 24◦25.0 106◦06.1 -23◦08.5 353◦20.4 13◦46.9 75◦56.3 -19◦16.0 78◦47.7 -19◦49.519 39◦27.5 121◦05.1 -23◦08.5 8◦21.7 13◦47.4 90◦58.1 -19◦15.8 93◦49.9 -19◦49.520 54◦30.0 136◦04.2 -23◦08.4 23◦23.0 13◦47.8 106◦00.0 -19◦15.7 108◦52.0 -19◦49.421 69◦32.4 151◦03.2 -23◦08.3 38◦24.3 13◦48.2 121◦01.9 -19◦15.6 123◦54.2 -19◦49.322 84◦34.9 166◦02.3 -23◦08.2 53◦25.6 13◦48.7 136◦03.7 -19◦15.4 138◦56.3 -19◦49.323 99◦37.4 181◦01.3 -23◦08.2 68◦26.9 13◦49.1 151◦05.6 -19◦15.3 153◦58.5 -19◦49.2Mer.pass.:16:22 v-0.9 d0.1 m-3.8 v1.3 d0.4 m0.1 v1.9 d0.1 m-1.8 v2.2 d0.1 m0.6

Fri GHA GHA Dec GHA Dec GHA Dec GHA Dec0 114◦39.8 196◦00.4 -23◦08.1 83◦28.2 13◦49.6 166◦07.4 -19◦15.1 169◦00.7 -19◦49.11 129◦42.3 210◦59.4 -23◦08.0 98◦29.4 13◦50.0 181◦09.3 -19◦15.0 184◦02.8 -19◦49.12 144◦44.8 225◦58.5 -23◦07.9 113◦30.7 13◦50.5 196◦11.2 -19◦14.8 199◦05.0 -19◦49.03 159◦47.2 240◦57.6 -23◦07.8 128◦32.0 13◦50.9 211◦13.0 -19◦14.7 214◦07.1 -19◦48.94 174◦49.7 255◦56.6 -23◦07.7 143◦33.3 13◦51.4 226◦14.9 -19◦14.6 229◦09.3 -19◦48.95 189◦52.2 270◦55.7 -23◦07.7 158◦34.6 13◦51.8 241◦16.7 -19◦14.4 244◦11.4 -19◦48.86 204◦54.6 285◦54.7 -23◦07.6 173◦35.9 13◦52.3 256◦18.6 -19◦14.3 259◦13.6 -19◦48.77 219◦57.1 300◦53.8 -23◦07.5 188◦37.2 13◦52.7 271◦20.5 -19◦14.1 274◦15.8 -19◦48.78 234◦59.5 315◦52.8 -23◦07.4 203◦38.5 13◦53.2 286◦22.3 -19◦14.0 289◦17.9 -19◦48.69 250◦02.0 330◦51.9 -23◦07.3 218◦39.8 13◦53.6 301◦24.2 -19◦13.8 304◦20.1 -19◦48.510 265◦04.5 345◦50.9 -23◦07.2 233◦41.1 13◦54.1 316◦26.0 -19◦13.7 319◦22.2 -19◦48.511 280◦06.9 0◦50.0 -23◦07.1 248◦42.4 13◦54.5 331◦27.9 -19◦13.6 334◦24.4 -19◦48.412 295◦09.4 15◦49.1 -23◦07.0 263◦43.6 13◦55.0 346◦29.8 -19◦13.4 349◦26.5 -19◦48.313 310◦11.9 30◦48.1 -23◦06.9 278◦44.9 13◦55.4 1◦31.6 -19◦13.3 4◦28.7 -19◦48.314 325◦14.3 45◦47.2 -23◦06.8 293◦46.2 13◦55.9 16◦33.5 -19◦13.1 19◦30.9 -19◦48.215 340◦16.8 60◦46.2 -23◦06.7 308◦47.5 13◦56.3 31◦35.3 -19◦13.0 34◦33.0 -19◦48.116 355◦19.3 75◦45.3 -23◦06.6 323◦48.8 13◦56.8 46◦37.2 -19◦12.8 49◦35.2 -19◦48.117 10◦21.7 90◦44.3 -23◦06.5 338◦50.1 13◦57.2 61◦39.1 -19◦12.7 64◦37.3 -19◦48.018 25◦24.2 105◦43.4 -23◦06.4 353◦51.4 13◦57.6 76◦40.9 -19◦12.6 79◦39.5 -19◦47.919 40◦26.7 120◦42.4 -23◦06.3 8◦52.6 13◦58.1 91◦42.8 -19◦12.4 94◦41.6 -19◦47.920 55◦29.1 135◦41.5 -23◦06.2 23◦53.9 13◦58.5 106◦44.6 -19◦12.3 109◦43.8 -19◦47.821 70◦31.6 150◦40.6 -23◦06.1 38◦55.2 13◦59.0 121◦46.5 -19◦12.1 124◦46.0 -19◦47.722 85◦34.0 165◦39.6 -23◦06.0 53◦56.5 13◦59.4 136◦48.4 -19◦12.0 139◦48.1 -19◦47.723 100◦36.5 180◦38.7 -23◦05.9 68◦57.8 13◦59.9 151◦50.2 -19◦11.8 154◦50.3 -19◦47.6Mer.pass.:16:18 v-0.9 d0.1 m-3.8 v1.3 d0.4 m0.1 v1.9 d0.1 m-1.8 v2.2 d0.1 m0.6

StarsSHA Dec

Alpheratz 357◦38.2 29◦12.4Ankaa 353◦10.5 -42◦11.9

Schedar 349◦34.7 56◦39.3Diphda 348◦50.5 -17◦52.5

Achernar 335◦22.7 -57◦08.2Hamal 327◦54.8 23◦33.7Polaris 315◦18.2 89◦21.4Akamar 315◦14.1 -40◦13.6Menkar 314◦09.4 4◦10.2Mirfak 308◦32.6 49◦56.2

Aldebaran 290◦43.1 16◦33.0Rigel 281◦06.7 -8◦10.8

Capella 280◦26.2 46◦01.2Bellatrix 278◦26.0 6◦22.0Elnath 278◦05.6 28◦37.5Alnilam 275◦40.7 -1◦11.4

Betelgeuse 270◦55.3 7◦24.5Canopus 263◦53.3 -52◦42.6

Sirius 258◦28.6 -16◦44.6Adara 255◦08.0 -29◦00.1

Procyon 244◦53.8 5◦10.3Pollux 243◦20.8 27◦58.4Avior 234◦15.3 -59◦34.5Suhail 222◦48.2 -43◦30.9

Miaplacidus 221◦37.9 -69◦48.0Alphard 217◦50.6 -8◦45.0Regulus 207◦37.6 11◦51.8Dubhe 193◦44.7 61◦38.1

Denebola 182◦28.0 14◦27.2Gienah 175◦46.7 -17◦39.4Acrux 173◦03.4 -63◦12.6

Gacrux 171◦55.0 -57◦13.5Alioth 166◦15.9 55◦50.5Spica 158◦25.7 -11◦16.1Alcaid 152◦54.7 49◦12.3Hadar 148◦40.6 -60◦28.1

Menkent 148◦01.5 -36◦28.1Arcturus 145◦50.8 19◦04.6

Rigil Kent. 139◦44.8 -60◦54.9Zubenelg. 136◦59.7 -16◦07.6Kochab 137◦20.4 74◦03.9

Alphecca 126◦06.7 26◦38.6Antares 112◦20.0 -26◦28.5

Atria 107◦17.6 -69◦03.6Sabik 102◦06.8 -15◦45.0

Shaula 96◦15.1 -37◦07.0Rasalhague 96◦01.9 12◦32.7

Etamin 90◦44.2 51◦29.1Kaus Aust. 83◦37.2 -34◦22.4

Vega 80◦35.8 38◦48.1Nunki 75◦52.1 -26◦16.2Altair 62◦03.5 8◦55.3

Peacock 53◦11.4 -56◦40.1Deneb 49◦28.4 45◦21.3

Enif 33◦42.2 9◦58.2Alnair 27◦37.4 -46◦51.8

Fomalhaut 15◦18.4 -29◦30.9Scheat 13◦48.5 28◦11.8Markab 13◦33.3 15◦19.0

2021/1/1 SHA Mer.passVenus 84◦04.3 10:54Mars 329◦44.0 18:29

Jupiter 51◦56.6 12:60Saturn 54◦35.5 12:49

2021/1/1 SHA Mer.passVenus 82◦42.4 10:55Mars 329◦16.3 18:27

Jupiter 51◦42.1 12:57Saturn 54◦28.2 12:46

2021/1/1 SHA Mer.passVenus 81◦20.6 10:57Mars 328◦48.3 18:25

Jupiter 51◦27.6 12:54Saturn 54◦20.8 12:42

Horizontal paralaxVenus: 0.1Mars: 0.1

10

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2021 January 13 to Jan. 15

h Sun MoonWed GHA Dec GHA ν Dec d HP0 177◦51.2 -21◦28.5 180◦17.1 5.1 -24◦31.6 2.6 58.71 192◦51.0 -21◦28.1 194◦41.2 5.1 -24◦28.9 2.8 58.72 207◦50.7 -21◦27.6 209◦05.4 5.2 -24◦26.0 2.9 58.73 222◦50.5 -21◦27.2 223◦29.6 5.2 -24◦23.0 3.1 58.74 237◦50.3 -21◦26.8 237◦53.9 5.3 -24◦19.9 3.2 58.65 252◦50.0 -21◦26.4 252◦18.2 5.4 -24◦16.6 3.4 58.66 267◦49.8 -21◦25.9 266◦42.6 5.4 -24◦13.1 3.5 58.67 282◦49.6 -21◦25.5 281◦07.1 5.5 -24◦09.5 3.7 58.68 297◦49.3 -21◦25.1 295◦31.7 5.6 -24◦05.7 3.9 58.59 312◦49.1 -21◦24.6 309◦56.3 5.7 -24◦01.8 4.0 58.510 327◦48.9 -21◦24.2 324◦21.0 5.7 -23◦57.7 4.2 58.511 342◦48.6 -21◦23.8 338◦45.7 5.8 -23◦53.5 4.3 58.512 357◦48.4 -21◦23.3 353◦10.6 5.9 -23◦49.1 4.5 58.413 12◦48.2 -21◦22.9 7◦35.5 6.0 -23◦44.6 4.6 58.414 27◦47.9 -21◦22.5 22◦00.5 6.0 -23◦39.9 4.7 58.415 42◦47.7 -21◦22.0 36◦25.5 6.1 -23◦35.1 4.9 58.416 57◦47.5 -21◦21.6 50◦50.7 6.2 -23◦30.1 5.0 58.317 72◦47.3 -21◦21.2 65◦15.9 6.3 -23◦25.0 5.2 58.318 87◦47.0 -21◦20.7 79◦41.3 6.4 -23◦19.7 5.3 58.319 102◦46.8 -21◦20.3 94◦06.7 6.4 -23◦14.3 5.5 58.220 117◦46.6 -21◦19.8 108◦32.2 6.5 -23◦08.8 5.6 58.221 132◦46.3 -21◦19.4 122◦57.7 6.6 -23◦03.1 5.7 58.222 147◦46.1 -21◦19.0 137◦23.4 6.7 -22◦57.3 5.9 58.223 162◦45.9 -21◦18.5 151◦49.2 6.8 -22◦51.4 6.0 58.1

SD.=16.3 d=0.4 S.D.=16.0

Thu GHA Dec GHA ν Dec d HP0 177◦45.6 -21◦18.1 166◦15.0 6.9 -22◦45.3 6.1 58.11 192◦45.4 -21◦17.6 180◦41.0 7.0 -22◦39.1 6.3 58.12 207◦45.2 -21◦17.2 195◦07.0 7.1 -22◦32.8 6.4 58.03 222◦45.0 -21◦16.7 209◦33.1 7.2 -22◦26.3 6.5 58.04 237◦44.7 -21◦16.3 223◦59.3 7.3 -22◦19.7 6.7 58.05 252◦44.5 -21◦15.8 238◦25.7 7.4 -22◦13.0 6.8 58.06 267◦44.3 -21◦15.4 252◦52.1 7.5 -22◦06.1 6.9 57.97 282◦44.1 -21◦15.0 267◦18.6 7.6 -21◦59.2 7.0 57.98 297◦43.8 -21◦14.5 281◦45.2 7.7 -21◦52.0 7.2 57.99 312◦43.6 -21◦14.1 296◦11.9 7.7 -21◦44.8 7.3 57.810 327◦43.4 -21◦13.6 310◦38.7 7.8 -21◦37.5 7.4 57.811 342◦43.1 -21◦13.2 325◦05.6 7.9 -21◦30.0 7.5 57.812 357◦42.9 -21◦12.7 339◦32.6 8.0 -21◦22.4 7.6 57.813 12◦42.7 -21◦12.3 353◦59.7 8.1 -21◦14.8 7.8 57.714 27◦42.5 -21◦11.8 8◦26.9 8.2 -21◦06.9 7.9 57.715 42◦42.2 -21◦11.3 22◦54.2 8.3 -20◦59.0 8.0 57.716 57◦42.0 -21◦10.9 37◦21.6 8.4 -20◦51.0 8.1 57.617 72◦41.8 -21◦10.4 51◦49.1 8.6 -20◦42.8 8.2 57.618 87◦41.6 -21◦10.0 66◦16.7 8.7 -20◦34.6 8.3 57.619 102◦41.3 -21◦09.5 80◦44.4 8.8 -20◦26.2 8.4 57.520 117◦41.1 -21◦09.1 95◦12.2 8.9 -20◦17.8 8.5 57.521 132◦40.9 -21◦08.6 109◦40.1 9.0 -20◦09.2 8.6 57.522 147◦40.7 -21◦08.2 124◦08.1 9.1 -20◦00.5 8.7 57.523 162◦40.5 -21◦07.7 138◦36.2 9.2 -19◦51.8 8.8 57.4

SD.=16.3 d=0.4 S.D.=15.9

Fri GHA Dec GHA ν Dec d HP0 177◦40.2 -21◦07.2 153◦04.4 9.3 -19◦42.9 8.9 57.41 192◦40.0 -21◦06.8 167◦32.7 9.4 -19◦33.9 9.0 57.42 207◦39.8 -21◦06.3 182◦01.1 9.5 -19◦24.8 9.1 57.33 222◦39.6 -21◦05.9 196◦29.7 9.6 -19◦15.7 9.2 57.34 237◦39.4 -21◦05.4 210◦58.3 9.7 -19◦06.4 9.3 57.35 252◦39.1 -21◦04.9 225◦27.0 9.8 -18◦57.1 9.4 57.26 267◦38.9 -21◦04.5 239◦55.8 9.9 -18◦47.6 9.5 57.27 282◦38.7 -21◦04.0 254◦24.8 10.0 -18◦38.1 9.6 57.28 297◦38.5 -21◦03.5 268◦53.8 10.1 -18◦28.5 9.7 57.19 312◦38.3 -21◦03.1 283◦22.9 10.2 -18◦18.8 9.7 57.110 327◦38.0 -21◦02.6 297◦52.2 10.3 -18◦09.0 9.8 57.111 342◦37.8 -21◦02.1 312◦21.5 10.4 -17◦59.1 9.9 57.112 357◦37.6 -21◦01.7 326◦50.9 10.5 -17◦49.2 10.0 57.013 12◦37.4 -21◦01.2 341◦20.5 10.6 -17◦39.1 10.1 57.014 27◦37.2 -21◦00.7 355◦50.1 10.7 -17◦29.0 10.2 57.015 42◦36.9 -21◦00.3 10◦19.8 10.8 -17◦18.8 10.2 56.916 57◦36.7 -20◦59.8 24◦49.7 10.9 -17◦08.6 10.3 56.917 72◦36.5 -20◦59.3 39◦19.6 11.0 -16◦58.2 10.4 56.918 87◦36.3 -20◦58.8 53◦49.6 11.1 -16◦47.8 10.5 56.819 102◦36.1 -20◦58.4 68◦19.7 11.2 -16◦37.3 10.5 56.820 117◦35.9 -20◦57.9 82◦50.0 11.3 -16◦26.8 10.6 56.821 132◦35.6 -20◦57.4 97◦20.3 11.4 -16◦16.1 10.7 56.722 147◦35.4 -20◦57.0 111◦50.7 11.5 -16◦05.4 10.7 56.723 162◦35.2 -20◦56.5 126◦21.2 11.6 -15◦54.7 10.8 56.7

SD.=16.3 d=0.5 S.D.=15.7

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 08:02 09:55 –:– –:– 14:24 16:1770 07:47 09:20 –:– –:– 14:59 16:3268 07:35 08:55 10:36 13:42 15:24 16:4466 07:25 08:36 09:55 14:24 15:43 16:5464 07:16 08:20 09:27 14:52 15:59 17:0362 07:08 08:07 09:06 15:13 16:12 17:1060 07:02 07:56 08:49 15:30 16:23 17:1758 06:56 07:46 08:34 15:44 16:33 17:2356 06:50 07:37 08:22 15:57 16:41 17:2954 06:45 07:30 08:11 16:07 16:49 17:3452 06:40 07:23 08:02 16:17 16:56 17:3950 06:36 07:16 07:53 16:25 17:02 17:4345 06:26 07:02 07:35 16:44 17:16 17:5340 06:17 06:51 07:20 16:58 17:28 18:0135 06:09 06:40 07:08 17:11 17:38 18:0930 06:01 06:31 06:57 17:22 17:48 18:1720 05:47 06:14 06:38 17:41 18:04 18:3110 05:33 05:59 06:21 17:57 18:20 18:460 05:17 05:43 06:05 18:13 18:35 19:01-10 05:00 05:27 05:50 18:29 18:51 19:18-20 04:40 05:09 05:33 18:45 19:10 19:38-30 04:14 04:46 05:13 19:05 19:32 20:04-35 03:57 04:32 05:01 19:17 19:45 20:21-40 03:36 04:16 04:48 19:30 20:02 20:41-45 03:10 03:56 04:32 19:46 20:21 21:08-50 02:32 03:30 04:12 20:05 20:47 21:45-52 02:11 03:17 04:03 20:15 20:60 22:05-54 01:44 03:03 03:52 20:25 21:14 22:32-56 00:58 02:45 03:40 20:37 21:32 23:14-58 –:– 02:23 03:26 20:51 21:54 –:–-60 –:– 01:53 03:09 21:07 22:23 –:–

Moonrise MoonsetLat. Wed Thu Fri Wed Thu Fri72 –:– –:– 13:31 –:– –:– 15:2270 –:– –:– 12:23 –:– –:– 16:2968 –:– 12:29 11:46 –:– 14:34 17:0566 12:11 11:31 11:20 12:53 15:30 17:3064 10:49 10:57 10:59 14:14 16:03 17:5062 10:12 10:32 10:42 14:51 16:28 18:0560 09:46 10:13 10:28 15:17 16:47 18:1958 09:25 09:56 10:16 15:37 17:03 18:3056 09:07 09:42 10:06 15:54 17:16 18:3954 08:53 09:30 09:57 16:09 17:28 18:4852 08:40 09:20 09:48 16:21 17:38 18:5650 08:29 09:10 09:41 16:32 17:47 19:0345 08:05 08:50 09:25 16:55 18:06 19:1740 07:46 08:33 09:12 17:13 18:22 19:2935 07:31 08:20 09:01 17:29 18:35 19:3930 07:17 08:08 08:51 17:42 18:46 19:4820 06:54 07:47 08:34 18:05 19:05 20:0410 06:33 07:29 08:19 18:24 19:22 20:170 06:14 07:12 08:05 18:42 19:38 20:29-10 05:55 06:55 07:51 19:00 19:53 20:41-20 05:35 06:37 07:36 19:20 20:10 20:54-30 05:12 06:16 07:19 19:42 20:29 21:09-35 04:58 06:03 07:09 19:55 20:40 21:18-40 04:42 05:49 06:57 20:09 20:52 21:27-45 04:23 05:32 06:44 20:27 21:07 21:39-50 03:59 05:11 06:27 20:49 21:25 21:52-52 03:48 05:01 06:19 20:59 21:33 21:58-54 03:35 04:50 06:10 21:11 21:42 22:05-56 03:20 04:37 06:00 21:24 21:53 22:13-58 03:02 04:22 05:49 21:39 22:05 22:22-60 02:40 04:05 05:36 21:57 22:19 22:32

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower13 08:35 08:46 12:08 12:28 00:57 0(0%)14 08:58 09:08 12:09 13:24 00:57 1(2%)15 09:19 09:30 12:09 14:17 01:51 2(6%)

11

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January 16, 17 ,18 (Sat., Sun., Mon.)Aries Venus Mars Jupiter Saturn

Sat GHA GHA Dec GHA Dec GHA Dec GHA Dec0 115◦39.0 195◦37.7 -23◦05.8 83◦59.1 14◦00.3 166◦52.1 -19◦11.7 169◦52.4 -19◦47.51 130◦41.4 210◦36.8 -23◦05.7 99◦00.4 14◦00.8 181◦53.9 -19◦11.6 184◦54.6 -19◦47.52 145◦43.9 225◦35.8 -23◦05.6 114◦01.6 14◦01.2 196◦55.8 -19◦11.4 199◦56.8 -19◦47.43 160◦46.4 240◦34.9 -23◦05.4 129◦02.9 14◦01.7 211◦57.7 -19◦11.3 214◦58.9 -19◦47.34 175◦48.8 255◦34.0 -23◦05.3 144◦04.2 14◦02.1 226◦59.5 -19◦11.1 230◦01.1 -19◦47.35 190◦51.3 270◦33.0 -23◦05.2 159◦05.5 14◦02.6 242◦01.4 -19◦11.0 245◦03.2 -19◦47.26 205◦53.8 285◦32.1 -23◦05.1 174◦06.8 14◦03.0 257◦03.2 -19◦10.8 260◦05.4 -19◦47.17 220◦56.2 300◦31.1 -23◦05.0 189◦08.0 14◦03.5 272◦05.1 -19◦10.7 275◦07.5 -19◦47.18 235◦58.7 315◦30.2 -23◦04.9 204◦09.3 14◦03.9 287◦07.0 -19◦10.5 290◦09.7 -19◦47.09 251◦01.2 330◦29.2 -23◦04.7 219◦10.6 14◦04.4 302◦08.8 -19◦10.4 305◦11.9 -19◦46.910 266◦03.6 345◦28.3 -23◦04.6 234◦11.9 14◦04.8 317◦10.7 -19◦10.3 320◦14.0 -19◦46.911 281◦06.1 0◦27.4 -23◦04.5 249◦13.2 14◦05.3 332◦12.5 -19◦10.1 335◦16.2 -19◦46.812 296◦08.5 15◦26.4 -23◦04.4 264◦14.4 14◦05.7 347◦14.4 -19◦10.0 350◦18.3 -19◦46.713 311◦11.0 30◦25.5 -23◦04.2 279◦15.7 14◦06.2 2◦16.2 -19◦09.8 5◦20.5 -19◦46.714 326◦13.5 45◦24.5 -23◦04.1 294◦17.0 14◦06.6 17◦18.1 -19◦09.7 20◦22.6 -19◦46.615 341◦15.9 60◦23.6 -23◦04.0 309◦18.3 14◦07.0 32◦20.0 -19◦09.5 35◦24.8 -19◦46.516 356◦18.4 75◦22.7 -23◦03.8 324◦19.5 14◦07.5 47◦21.8 -19◦09.4 50◦27.0 -19◦46.517 11◦20.9 90◦21.7 -23◦03.7 339◦20.8 14◦07.9 62◦23.7 -19◦09.2 65◦29.1 -19◦46.418 26◦23.3 105◦20.8 -23◦03.6 354◦22.1 14◦08.4 77◦25.5 -19◦09.1 80◦31.3 -19◦46.419 41◦25.8 120◦19.8 -23◦03.4 9◦23.4 14◦08.8 92◦27.4 -19◦09.0 95◦33.4 -19◦46.320 56◦28.3 135◦18.9 -23◦03.3 24◦24.6 14◦09.3 107◦29.3 -19◦08.8 110◦35.6 -19◦46.221 71◦30.7 150◦18.0 -23◦03.2 39◦25.9 14◦09.7 122◦31.1 -19◦08.7 125◦37.7 -19◦46.222 86◦33.2 165◦17.0 -23◦03.0 54◦27.2 14◦10.2 137◦33.0 -19◦08.5 140◦39.9 -19◦46.123 101◦35.6 180◦16.1 -23◦02.9 69◦28.5 14◦10.6 152◦34.8 -19◦08.4 155◦42.0 -19◦46.0Mer.pass.:16:14 v-0.9 d0.1 m-3.8 v1.3 d0.4 m0.1 v1.9 d0.1 m-1.8 v2.2 d0.1 m0.6

Sun GHA GHA Dec GHA Dec GHA Dec GHA Dec0 116◦38.1 195◦15.1 -23◦02.8 84◦29.7 14◦11.1 167◦36.7 -19◦08.2 170◦44.2 -19◦46.01 131◦40.6 210◦14.2 -23◦02.6 99◦31.0 14◦11.5 182◦38.6 -19◦08.1 185◦46.4 -19◦45.92 146◦43.0 225◦13.2 -23◦02.5 114◦32.3 14◦12.0 197◦40.4 -19◦07.9 200◦48.5 -19◦45.83 161◦45.5 240◦12.3 -23◦02.3 129◦33.6 14◦12.4 212◦42.3 -19◦07.8 215◦50.7 -19◦45.84 176◦48.0 255◦11.4 -23◦02.2 144◦34.8 14◦12.9 227◦44.1 -19◦07.7 230◦52.8 -19◦45.75 191◦50.4 270◦10.4 -23◦02.0 159◦36.1 14◦13.3 242◦46.0 -19◦07.5 245◦55.0 -19◦45.66 206◦52.9 285◦09.5 -23◦01.9 174◦37.4 14◦13.8 257◦47.9 -19◦07.4 260◦57.1 -19◦45.67 221◦55.4 300◦08.5 -23◦01.7 189◦38.6 14◦14.2 272◦49.7 -19◦07.2 275◦59.3 -19◦45.58 236◦57.8 315◦07.6 -23◦01.6 204◦39.9 14◦14.6 287◦51.6 -19◦07.1 291◦01.5 -19◦45.49 252◦00.3 330◦06.7 -23◦01.4 219◦41.2 14◦15.1 302◦53.4 -19◦06.9 306◦03.6 -19◦45.410 267◦02.8 345◦05.7 -23◦01.3 234◦42.4 14◦15.5 317◦55.3 -19◦06.8 321◦05.8 -19◦45.311 282◦05.2 0◦04.8 -23◦01.1 249◦43.7 14◦16.0 332◦57.2 -19◦06.6 336◦07.9 -19◦45.212 297◦07.7 15◦03.9 -23◦01.0 264◦45.0 14◦16.4 347◦59.0 -19◦06.5 351◦10.1 -19◦45.213 312◦10.1 30◦02.9 -23◦00.8 279◦46.3 14◦16.9 3◦00.9 -19◦06.4 6◦12.2 -19◦45.114 327◦12.6 45◦02.0 -23◦00.7 294◦47.5 14◦17.3 18◦02.7 -19◦06.2 21◦14.4 -19◦45.015 342◦15.1 60◦01.0 -23◦00.5 309◦48.8 14◦17.8 33◦04.6 -19◦06.1 36◦16.6 -19◦45.016 357◦17.5 75◦00.1 -23◦00.4 324◦50.1 14◦18.2 48◦06.4 -19◦05.9 51◦18.7 -19◦44.917 12◦20.0 89◦59.2 -23◦00.2 339◦51.3 14◦18.7 63◦08.3 -19◦05.8 66◦20.9 -19◦44.818 27◦22.5 104◦58.2 -23◦00.0 354◦52.6 14◦19.1 78◦10.2 -19◦05.6 81◦23.0 -19◦44.819 42◦24.9 119◦57.3 -22◦59.9 9◦53.9 14◦19.6 93◦12.0 -19◦05.5 96◦25.2 -19◦44.720 57◦27.4 134◦56.3 -22◦59.7 24◦55.1 14◦20.0 108◦13.9 -19◦05.3 111◦27.3 -19◦44.621 72◦29.9 149◦55.4 -22◦59.5 39◦56.4 14◦20.5 123◦15.7 -19◦05.2 126◦29.5 -19◦44.622 87◦32.3 164◦54.5 -22◦59.4 54◦57.6 14◦20.9 138◦17.6 -19◦05.0 141◦31.7 -19◦44.523 102◦34.8 179◦53.5 -22◦59.2 69◦58.9 14◦21.4 153◦19.5 -19◦04.9 156◦33.8 -19◦44.4Mer.pass.:16:10 v-0.9 d0.1 m-3.8 v1.3 d0.4 m0.1 v1.9 d0.1 m-1.8 v2.2 d0.1 m0.6

Mon GHA GHA Dec GHA Dec GHA Dec GHA Dec0 117◦37.2 194◦52.6 -22◦59.0 85◦00.2 14◦21.8 168◦21.3 -19◦04.8 171◦36.0 -19◦44.41 132◦39.7 209◦51.7 -22◦58.9 100◦01.4 14◦22.3 183◦23.2 -19◦04.6 186◦38.1 -19◦44.32 147◦42.2 224◦50.7 -22◦58.7 115◦02.7 14◦22.7 198◦25.0 -19◦04.5 201◦40.3 -19◦44.23 162◦44.6 239◦49.8 -22◦58.5 130◦04.0 14◦23.1 213◦26.9 -19◦04.3 216◦42.4 -19◦44.24 177◦47.1 254◦48.8 -22◦58.3 145◦05.2 14◦23.6 228◦28.8 -19◦04.2 231◦44.6 -19◦44.15 192◦49.6 269◦47.9 -22◦58.2 160◦06.5 14◦24.0 243◦30.6 -19◦04.0 246◦46.8 -19◦44.06 207◦52.0 284◦47.0 -22◦58.0 175◦07.7 14◦24.5 258◦32.5 -19◦03.9 261◦48.9 -19◦44.07 222◦54.5 299◦46.0 -22◦57.8 190◦09.0 14◦24.9 273◦34.3 -19◦03.7 276◦51.1 -19◦43.98 237◦57.0 314◦45.1 -22◦57.6 205◦10.3 14◦25.4 288◦36.2 -19◦03.6 291◦53.2 -19◦43.89 252◦59.4 329◦44.2 -22◦57.5 220◦11.5 14◦25.8 303◦38.0 -19◦03.4 306◦55.4 -19◦43.810 268◦01.9 344◦43.2 -22◦57.3 235◦12.8 14◦26.3 318◦39.9 -19◦03.3 321◦57.5 -19◦43.711 283◦04.4 359◦42.3 -22◦57.1 250◦14.0 14◦26.7 333◦41.8 -19◦03.2 336◦59.7 -19◦43.612 298◦06.8 14◦41.4 -22◦56.9 265◦15.3 14◦27.2 348◦43.6 -19◦03.0 352◦01.9 -19◦43.613 313◦09.3 29◦40.4 -22◦56.7 280◦16.6 14◦27.6 3◦45.5 -19◦02.9 7◦04.0 -19◦43.514 328◦11.7 44◦39.5 -22◦56.5 295◦17.8 14◦28.1 18◦47.3 -19◦02.7 22◦06.2 -19◦43.415 343◦14.2 59◦38.6 -22◦56.4 310◦19.1 14◦28.5 33◦49.2 -19◦02.6 37◦08.3 -19◦43.416 358◦16.7 74◦37.6 -22◦56.2 325◦20.3 14◦29.0 48◦51.1 -19◦02.4 52◦10.5 -19◦43.317 13◦19.1 89◦36.7 -22◦56.0 340◦21.6 14◦29.4 63◦52.9 -19◦02.3 67◦12.6 -19◦43.218 28◦21.6 104◦35.8 -22◦55.8 355◦22.8 14◦29.8 78◦54.8 -19◦02.1 82◦14.8 -19◦43.219 43◦24.1 119◦34.8 -22◦55.6 10◦24.1 14◦30.3 93◦56.6 -19◦02.0 97◦16.9 -19◦43.120 58◦26.5 134◦33.9 -22◦55.4 25◦25.4 14◦30.7 108◦58.5 -19◦01.8 112◦19.1 -19◦43.021 73◦29.0 149◦32.9 -22◦55.2 40◦26.6 14◦31.2 124◦00.4 -19◦01.7 127◦21.3 -19◦43.022 88◦31.5 164◦32.0 -22◦55.0 55◦27.9 14◦31.6 139◦02.2 -19◦01.5 142◦23.4 -19◦42.923 103◦33.9 179◦31.1 -22◦54.8 70◦29.1 14◦32.1 154◦04.1 -19◦01.4 157◦25.6 -19◦42.8Mer.pass.:16:06 v-0.9 d0.2 m-3.8 v1.3 d0.4 m0.2 v1.9 d0.1 m-1.8 v2.2 d0.1 m0.6

StarsSHA Dec

Alpheratz 357◦38.2 29◦12.4Ankaa 353◦10.5 -42◦11.9

Schedar 349◦34.7 56◦39.3Diphda 348◦50.5 -17◦52.5

Achernar 335◦22.7 -57◦08.2Hamal 327◦54.8 23◦33.7Polaris 315◦19.6 89◦21.4Akamar 315◦14.1 -40◦13.6Menkar 314◦09.4 4◦10.2Mirfak 308◦32.6 49◦56.2

Aldebaran 290◦43.1 16◦33.0Rigel 281◦06.7 -8◦10.8

Capella 280◦26.3 46◦01.2Bellatrix 278◦26.0 6◦22.0Elnath 278◦05.6 28◦37.5Alnilam 275◦40.7 -1◦11.5

Betelgeuse 270◦55.3 7◦24.5Canopus 263◦53.3 -52◦42.6

Sirius 258◦28.6 -16◦44.6Adara 255◦08.0 -29◦00.2

Procyon 244◦53.8 5◦10.3Pollux 243◦20.8 27◦58.4Avior 234◦15.3 -59◦34.6Suhail 222◦48.2 -43◦31.0

Miaplacidus 221◦37.9 -69◦48.0Alphard 217◦50.6 -8◦45.0Regulus 207◦37.6 11◦51.8Dubhe 193◦44.6 61◦38.1

Denebola 182◦28.0 14◦27.2Gienah 175◦46.7 -17◦39.4Acrux 173◦03.3 -63◦12.6

Gacrux 171◦54.9 -57◦13.5Alioth 166◦15.8 55◦50.5Spica 158◦25.7 -11◦16.1Alcaid 152◦54.6 49◦12.3Hadar 148◦40.5 -60◦28.1

Menkent 148◦01.4 -36◦28.1Arcturus 145◦50.8 19◦04.6

Rigil Kent. 139◦44.8 -60◦54.9Zubenelg. 136◦59.7 -16◦07.6Kochab 137◦20.3 74◦03.9

Alphecca 126◦06.7 26◦38.6Antares 112◦20.0 -26◦28.5

Atria 107◦17.5 -69◦03.6Sabik 102◦06.7 -15◦45.0

Shaula 96◦15.1 -37◦07.0Rasalhague 96◦01.8 12◦32.7

Etamin 90◦44.2 51◦29.1Kaus Aust. 83◦37.1 -34◦22.4

Vega 80◦35.8 38◦48.1Nunki 75◦52.1 -26◦16.2Altair 62◦03.5 8◦55.3

Peacock 53◦11.4 -56◦40.1Deneb 49◦28.4 45◦21.3

Enif 33◦42.2 9◦58.2Alnair 27◦37.4 -46◦51.8

Fomalhaut 15◦18.4 -29◦30.9Scheat 13◦48.6 28◦11.8Markab 13◦33.3 15◦19.0

2021/1/1 SHA Mer.passVenus 79◦58.8 10:58Mars 328◦20.1 18:22

Jupiter 51◦13.1 12:51Saturn 54◦13.5 12:39

2021/1/1 SHA Mer.passVenus 78◦37.0 10:60Mars 327◦51.6 18:20

Jupiter 50◦58.6 12:48Saturn 54◦06.1 12:35

2021/1/1 SHA Mer.passVenus 77◦15.3 11:01Mars 327◦22.9 18:18

Jupiter 50◦44.1 12:45Saturn 53◦58.7 12:32

Horizontal paralaxVenus: 0.1Mars: 0.1

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2021 January 16 to Jan. 18

h Sun MoonSat GHA Dec GHA ν Dec d HP0 177◦35.0 -20◦56.0 140◦51.8 11.6 -15◦43.8 10.9 56.71 192◦34.8 -20◦55.5 155◦22.5 11.7 -15◦32.9 10.9 56.62 207◦34.6 -20◦55.0 169◦53.3 11.8 -15◦22.0 11.0 56.63 222◦34.4 -20◦54.6 184◦24.2 11.9 -15◦10.9 11.1 56.64 237◦34.1 -20◦54.1 198◦55.1 12.0 -14◦59.9 11.1 56.55 252◦33.9 -20◦53.6 213◦26.2 12.1 -14◦48.7 11.2 56.56 267◦33.7 -20◦53.1 227◦57.3 12.2 -14◦37.5 11.2 56.57 282◦33.5 -20◦52.6 242◦28.6 12.3 -14◦26.3 11.3 56.48 297◦33.3 -20◦52.2 256◦59.9 12.4 -14◦14.9 11.3 56.49 312◦33.1 -20◦51.7 271◦31.3 12.5 -14◦03.6 11.4 56.410 327◦32.9 -20◦51.2 286◦02.9 12.6 -13◦52.2 11.4 56.311 342◦32.7 -20◦50.7 300◦34.5 12.6 -13◦40.7 11.5 56.312 357◦32.4 -20◦50.2 315◦06.1 12.7 -13◦29.2 11.5 56.313 12◦32.2 -20◦49.7 329◦37.9 12.8 -13◦17.6 11.6 56.314 27◦32.0 -20◦49.3 344◦09.7 12.9 -13◦06.0 11.6 56.215 42◦31.8 -20◦48.8 358◦41.7 13.0 -12◦54.3 11.7 56.216 57◦31.6 -20◦48.3 13◦13.7 13.1 -12◦42.6 11.7 56.217 72◦31.4 -20◦47.8 27◦45.8 13.1 -12◦30.8 11.8 56.118 87◦31.2 -20◦47.3 42◦18.0 13.2 -12◦19.0 11.8 56.119 102◦31.0 -20◦46.8 56◦50.2 13.3 -12◦07.2 11.9 56.120 117◦30.8 -20◦46.3 71◦22.6 13.4 -11◦55.3 11.9 56.121 132◦30.6 -20◦45.8 85◦55.0 13.5 -11◦43.4 11.9 56.022 147◦30.3 -20◦45.4 100◦27.5 13.5 -11◦31.4 12.0 56.023 162◦30.1 -20◦44.9 115◦00.0 13.6 -11◦19.4 12.0 56.0

SD.=16.3 d=0.5 S.D.=15.5

Sun GHA Dec GHA ν Dec d HP0 177◦29.9 -20◦44.4 129◦32.7 13.7 -11◦07.4 12.1 55.91 192◦29.7 -20◦43.9 144◦05.4 13.8 -10◦55.3 12.1 55.92 207◦29.5 -20◦43.4 158◦38.2 13.8 -10◦43.2 12.1 55.93 222◦29.3 -20◦42.9 173◦11.0 13.9 -10◦31.1 12.2 55.94 237◦29.1 -20◦42.4 187◦44.0 14.0 -10◦18.9 12.2 55.85 252◦28.9 -20◦41.9 202◦17.0 14.0 -10◦06.7 12.2 55.86 267◦28.7 -20◦41.4 216◦50.0 14.1 -9◦54.5 12.3 55.87 282◦28.5 -20◦40.9 231◦23.2 14.2 -9◦42.2 12.3 55.78 297◦28.3 -20◦40.4 245◦56.4 14.2 -9◦29.9 12.3 55.79 312◦28.1 -20◦39.9 260◦29.6 14.3 -9◦17.6 12.3 55.710 327◦27.9 -20◦39.4 275◦03.0 14.4 -9◦05.2 12.4 55.711 342◦27.7 -20◦38.9 289◦36.4 14.4 -8◦52.9 12.4 55.612 357◦27.5 -20◦38.4 304◦09.8 14.5 -8◦40.5 12.4 55.613 12◦27.3 -20◦37.9 318◦43.4 14.6 -8◦28.0 12.4 55.614 27◦27.1 -20◦37.4 333◦17.0 14.6 -8◦15.6 12.5 55.615 42◦26.9 -20◦36.9 347◦50.6 14.7 -8◦03.1 12.5 55.516 57◦26.7 -20◦36.4 2◦24.3 14.7 -7◦50.6 12.5 55.517 72◦26.5 -20◦35.9 16◦58.1 14.8 -7◦38.1 12.5 55.518 87◦26.2 -20◦35.4 31◦31.9 14.8 -7◦25.6 12.5 55.519 102◦26.0 -20◦34.9 46◦05.8 14.9 -7◦13.1 12.6 55.420 117◦25.8 -20◦34.4 60◦39.7 15.0 -7◦00.5 12.6 55.421 132◦25.6 -20◦33.9 75◦13.7 15.0 -6◦47.9 12.6 55.422 147◦25.4 -20◦33.4 89◦47.7 15.1 -6◦35.3 12.6 55.423 162◦25.2 -20◦32.8 104◦21.8 15.1 -6◦22.7 12.6 55.3

SD.=16.3 d=0.5 S.D.=15.3

Mon GHA Dec GHA ν Dec d HP0 177◦25.0 -20◦32.3 118◦55.9 15.2 -6◦10.1 12.6 55.31 192◦24.8 -20◦31.8 133◦30.1 15.2 -5◦57.5 12.6 55.32 207◦24.6 -20◦31.3 148◦04.4 15.3 -5◦44.8 12.7 55.33 222◦24.4 -20◦30.8 162◦38.7 15.3 -5◦32.1 12.7 55.24 237◦24.2 -20◦30.3 177◦13.0 15.4 -5◦19.5 12.7 55.25 252◦24.0 -20◦29.8 191◦47.4 15.4 -5◦06.8 12.7 55.26 267◦23.9 -20◦29.3 206◦21.8 15.4 -4◦54.1 12.7 55.27 282◦23.7 -20◦28.8 220◦56.2 15.5 -4◦41.4 12.7 55.18 297◦23.5 -20◦28.2 235◦30.7 15.5 -4◦28.7 12.7 55.19 312◦23.3 -20◦27.7 250◦05.3 15.6 -4◦16.0 12.7 55.110 327◦23.1 -20◦27.2 264◦39.9 15.6 -4◦03.3 12.7 55.111 342◦22.9 -20◦26.7 279◦14.5 15.6 -3◦50.6 12.7 55.112 357◦22.7 -20◦26.2 293◦49.2 15.7 -3◦37.8 12.7 55.013 12◦22.5 -20◦25.7 308◦23.9 15.7 -3◦25.1 12.7 55.014 27◦22.3 -20◦25.1 322◦58.6 15.8 -3◦12.4 12.7 55.015 42◦22.1 -20◦24.6 337◦33.4 15.8 -2◦59.6 12.7 55.016 57◦21.9 -20◦24.1 352◦08.2 15.8 -2◦46.9 12.7 54.917 72◦21.7 -20◦23.6 6◦43.0 15.8 -2◦34.2 12.7 54.918 87◦21.5 -20◦23.1 21◦17.9 15.9 -2◦21.4 12.7 54.919 102◦21.3 -20◦22.5 35◦52.8 15.9 -2◦08.7 12.7 54.920 117◦21.1 -20◦22.0 50◦27.7 15.9 -1◦55.9 12.7 54.921 132◦20.9 -20◦21.5 65◦02.6 16.0 -1◦43.2 12.7 54.922 147◦20.7 -20◦21.0 79◦37.6 16.0 -1◦30.5 12.7 54.823 162◦20.5 -20◦20.4 94◦12.6 16.0 -1◦17.8 12.7 54.8

SD.=16.3 d=0.5 S.D.=15.1

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 07:55 09:42 –:– –:– 14:39 16:2670 07:41 09:11 11:37 12:44 15:10 16:4068 07:30 08:48 10:22 13:59 15:33 16:5166 07:20 08:30 09:46 14:35 15:51 17:0164 07:12 08:15 09:20 15:01 16:06 17:0962 07:05 08:03 09:00 15:21 16:18 17:1660 06:58 07:52 08:44 15:37 16:29 17:2358 06:53 07:43 08:30 15:51 16:38 17:2856 06:47 07:34 08:19 16:02 16:46 17:3354 06:43 07:27 08:08 16:13 16:54 17:3852 06:38 07:20 07:59 16:22 17:00 17:4350 06:34 07:14 07:51 16:30 17:07 17:4745 06:25 07:01 07:33 16:47 17:20 17:5640 06:16 06:49 07:19 17:02 17:31 18:0435 06:09 06:40 07:07 17:14 17:41 18:1230 06:01 06:31 06:56 17:24 17:50 18:1920 05:47 06:14 06:38 17:43 18:06 18:3310 05:33 05:59 06:22 17:59 18:21 18:470 05:19 05:44 06:07 18:14 18:36 19:02-10 05:02 05:29 05:51 18:29 18:52 19:18-20 04:42 05:11 05:35 18:46 19:09 19:38-30 04:17 04:49 05:15 19:05 19:31 20:03-35 04:00 04:36 05:04 19:16 19:44 20:19-40 03:40 04:20 04:51 19:29 19:60 20:39-45 03:15 04:00 04:36 19:44 20:19 21:05-50 02:39 03:36 04:17 20:03 20:44 21:40-52 02:19 03:23 04:08 20:12 20:56 21:59-54 01:54 03:09 03:57 20:22 21:10 22:24-56 01:16 02:52 03:46 20:33 21:27 22:60-58 –:– 02:31 03:33 20:46 21:47 –:–-60 –:– 02:04 03:17 21:02 22:13 –:–

Moonrise MoonsetLat. Sat Sun Mon Sat Sun Mon72 12:12 11:37 11:12 18:22 20:29 22:2370 11:47 11:24 11:07 18:45 20:40 22:2568 11:27 11:14 11:02 19:03 20:49 22:2766 11:12 11:05 10:59 19:17 20:56 22:2964 10:59 10:57 10:56 19:29 21:02 22:3062 10:48 10:51 10:53 19:39 21:07 22:3160 10:38 10:45 10:51 19:47 21:11 22:3258 10:30 10:40 10:48 19:54 21:15 22:3356 10:23 10:36 10:47 20:01 21:19 22:3354 10:16 10:32 10:45 20:06 21:22 22:3452 10:10 10:28 10:43 20:12 21:24 22:3550 10:05 10:25 10:42 20:16 21:27 22:3545 09:54 10:18 10:39 20:26 21:33 22:3640 09:44 10:11 10:36 20:35 21:37 22:3735 09:36 10:06 10:34 20:42 21:41 22:3830 09:28 10:02 10:32 20:48 21:44 22:3920 09:16 09:53 10:28 20:58 21:50 22:4010 09:05 09:46 10:25 21:08 21:56 22:410 08:54 09:40 10:22 21:16 22:00 22:42-10 08:44 09:33 10:19 21:25 22:05 22:43-20 08:32 09:26 10:16 21:34 22:10 22:44-30 08:20 09:18 10:13 21:44 22:16 22:45-35 08:12 09:13 10:11 21:50 22:19 22:46-40 08:04 09:07 10:09 21:57 22:23 22:47-45 07:54 09:01 10:06 22:05 22:27 22:48-50 07:41 08:53 10:03 22:14 22:32 22:49-52 07:36 08:50 10:01 22:18 22:35 22:49-54 07:29 08:46 09:60 22:23 22:37 22:50-56 07:22 08:42 09:58 22:28 22:40 22:50-58 07:15 08:37 09:56 22:34 22:43 22:51-60 07:06 08:31 09:54 22:40 22:46 22:51

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower16 09:40 09:50 12:09 15:05 02:41 3(12%)17 10:00 10:10 12:10 15:50 03:28 4(20%)18 10:20 10:29 12:10 16:32 04:11 5(28%)

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January 19, 20 ,21 (Tue., Wed., Thu.)Aries Venus Mars Jupiter Saturn

Tue GHA GHA Dec GHA Dec GHA Dec GHA Dec0 118◦36.4 194◦30.1 -22◦54.6 85◦30.4 14◦32.5 169◦05.9 -19◦01.3 172◦27.7 -19◦42.81 133◦38.9 209◦29.2 -22◦54.4 100◦31.6 14◦33.0 184◦07.8 -19◦01.1 187◦29.9 -19◦42.72 148◦41.3 224◦28.3 -22◦54.2 115◦32.9 14◦33.4 199◦09.6 -19◦01.0 202◦32.0 -19◦42.63 163◦43.8 239◦27.3 -22◦54.0 130◦34.1 14◦33.9 214◦11.5 -19◦00.8 217◦34.2 -19◦42.64 178◦46.2 254◦26.4 -22◦53.8 145◦35.4 14◦34.3 229◦13.4 -19◦00.7 232◦36.4 -19◦42.55 193◦48.7 269◦25.5 -22◦53.6 160◦36.6 14◦34.8 244◦15.2 -19◦00.5 247◦38.5 -19◦42.46 208◦51.2 284◦24.6 -22◦53.4 175◦37.9 14◦35.2 259◦17.1 -19◦00.4 262◦40.7 -19◦42.37 223◦53.6 299◦23.6 -22◦53.2 190◦39.1 14◦35.7 274◦18.9 -19◦00.2 277◦42.8 -19◦42.38 238◦56.1 314◦22.7 -22◦53.0 205◦40.4 14◦36.1 289◦20.8 -19◦00.1 292◦45.0 -19◦42.29 253◦58.6 329◦21.8 -22◦52.8 220◦41.6 14◦36.5 304◦22.7 -18◦59.9 307◦47.1 -19◦42.110 269◦01.0 344◦20.8 -22◦52.6 235◦42.9 14◦37.0 319◦24.5 -18◦59.8 322◦49.3 -19◦42.111 284◦03.5 359◦19.9 -22◦52.3 250◦44.1 14◦37.4 334◦26.4 -18◦59.6 337◦51.5 -19◦42.012 299◦06.0 14◦19.0 -22◦52.1 265◦45.4 14◦37.9 349◦28.2 -18◦59.5 352◦53.6 -19◦41.913 314◦08.4 29◦18.0 -22◦51.9 280◦46.6 14◦38.3 4◦30.1 -18◦59.3 7◦55.8 -19◦41.914 329◦10.9 44◦17.1 -22◦51.7 295◦47.9 14◦38.8 19◦32.0 -18◦59.2 22◦57.9 -19◦41.815 344◦13.3 59◦16.2 -22◦51.5 310◦49.1 14◦39.2 34◦33.8 -18◦59.1 38◦00.1 -19◦41.716 359◦15.8 74◦15.2 -22◦51.3 325◦50.4 14◦39.7 49◦35.7 -18◦58.9 53◦02.2 -19◦41.717 14◦18.3 89◦14.3 -22◦51.0 340◦51.6 14◦40.1 64◦37.5 -18◦58.8 68◦04.4 -19◦41.618 29◦20.7 104◦13.4 -22◦50.8 355◦52.9 14◦40.6 79◦39.4 -18◦58.6 83◦06.5 -19◦41.519 44◦23.2 119◦12.4 -22◦50.6 10◦54.1 14◦41.0 94◦41.2 -18◦58.5 98◦08.7 -19◦41.520 59◦25.7 134◦11.5 -22◦50.4 25◦55.4 14◦41.5 109◦43.1 -18◦58.3 113◦10.9 -19◦41.421 74◦28.1 149◦10.6 -22◦50.2 40◦56.6 14◦41.9 124◦45.0 -18◦58.2 128◦13.0 -19◦41.322 89◦30.6 164◦09.7 -22◦49.9 55◦57.8 14◦42.3 139◦46.8 -18◦58.0 143◦15.2 -19◦41.323 104◦33.1 179◦08.7 -22◦49.7 70◦59.1 14◦42.8 154◦48.7 -18◦57.9 158◦17.3 -19◦41.2Mer.pass.:16:02 v-0.9 d0.2 m-3.8 v1.3 d0.4 m0.2 v1.9 d0.1 m-1.8 v2.2 d0.1 m0.6

Wed GHA GHA Dec GHA Dec GHA Dec GHA Dec0 119◦35.5 194◦07.8 -22◦49.5 86◦00.3 14◦43.2 169◦50.5 -18◦57.7 173◦19.5 -19◦41.11 134◦38.0 209◦06.9 -22◦49.2 101◦01.6 14◦43.7 184◦52.4 -18◦57.6 188◦21.6 -19◦41.12 149◦40.5 224◦05.9 -22◦49.0 116◦02.8 14◦44.1 199◦54.3 -18◦57.4 203◦23.8 -19◦41.03 164◦42.9 239◦05.0 -22◦48.8 131◦04.1 14◦44.6 214◦56.1 -18◦57.3 218◦26.0 -19◦40.94 179◦45.4 254◦04.1 -22◦48.5 146◦05.3 14◦45.0 229◦58.0 -18◦57.1 233◦28.1 -19◦40.95 194◦47.8 269◦03.2 -22◦48.3 161◦06.6 14◦45.5 244◦59.8 -18◦57.0 248◦30.3 -19◦40.86 209◦50.3 284◦02.2 -22◦48.1 176◦07.8 14◦45.9 260◦01.7 -18◦56.8 263◦32.4 -19◦40.77 224◦52.8 299◦01.3 -22◦47.8 191◦09.0 14◦46.4 275◦03.5 -18◦56.7 278◦34.6 -19◦40.78 239◦55.2 314◦00.4 -22◦47.6 206◦10.3 14◦46.8 290◦05.4 -18◦56.5 293◦36.7 -19◦40.69 254◦57.7 328◦59.4 -22◦47.4 221◦11.5 14◦47.3 305◦07.3 -18◦56.4 308◦38.9 -19◦40.510 270◦00.2 343◦58.5 -22◦47.1 236◦12.8 14◦47.7 320◦09.1 -18◦56.3 323◦41.0 -19◦40.511 285◦02.6 358◦57.6 -22◦46.9 251◦14.0 14◦48.1 335◦11.0 -18◦56.1 338◦43.2 -19◦40.412 300◦05.1 13◦56.7 -22◦46.6 266◦15.2 14◦48.6 350◦12.8 -18◦56.0 353◦45.4 -19◦40.313 315◦07.6 28◦55.7 -22◦46.4 281◦16.5 14◦49.0 5◦14.7 -18◦55.8 8◦47.5 -19◦40.314 330◦10.0 43◦54.8 -22◦46.1 296◦17.7 14◦49.5 20◦16.6 -18◦55.7 23◦49.7 -19◦40.215 345◦12.5 58◦53.9 -22◦45.9 311◦19.0 14◦49.9 35◦18.4 -18◦55.5 38◦51.8 -19◦40.116 0◦15.0 73◦53.0 -22◦45.7 326◦20.2 14◦50.4 50◦20.3 -18◦55.4 53◦54.0 -19◦40.117 15◦17.4 88◦52.0 -22◦45.4 341◦21.4 14◦50.8 65◦22.1 -18◦55.2 68◦56.1 -19◦40.018 30◦19.9 103◦51.1 -22◦45.2 356◦22.7 14◦51.3 80◦24.0 -18◦55.1 83◦58.3 -19◦39.919 45◦22.3 118◦50.2 -22◦44.9 11◦23.9 14◦51.7 95◦25.8 -18◦54.9 99◦00.5 -19◦39.920 60◦24.8 133◦49.3 -22◦44.7 26◦25.1 14◦52.2 110◦27.7 -18◦54.8 114◦02.6 -19◦39.821 75◦27.3 148◦48.3 -22◦44.4 41◦26.4 14◦52.6 125◦29.6 -18◦54.6 129◦04.8 -19◦39.722 90◦29.7 163◦47.4 -22◦44.1 56◦27.6 14◦53.0 140◦31.4 -18◦54.5 144◦06.9 -19◦39.723 105◦32.2 178◦46.5 -22◦43.9 71◦28.8 14◦53.5 155◦33.3 -18◦54.3 159◦09.1 -19◦39.6Mer.pass.:15:59 v-0.9 d0.2 m-3.8 v1.2 d0.4 m0.2 v1.9 d0.1 m-1.8 v2.2 d0.1 m0.6

Thu GHA GHA Dec GHA Dec GHA Dec GHA Dec0 120◦34.7 193◦45.6 -22◦43.6 86◦30.1 14◦53.9 170◦35.1 -18◦54.2 174◦11.2 -19◦39.51 135◦37.1 208◦44.6 -22◦43.4 101◦31.3 14◦54.4 185◦37.0 -18◦54.0 189◦13.4 -19◦39.52 150◦39.6 223◦43.7 -22◦43.1 116◦32.5 14◦54.8 200◦38.9 -18◦53.9 204◦15.6 -19◦39.43 165◦42.1 238◦42.8 -22◦42.9 131◦33.8 14◦55.3 215◦40.7 -18◦53.7 219◦17.7 -19◦39.34 180◦44.5 253◦41.9 -22◦42.6 146◦35.0 14◦55.7 230◦42.6 -18◦53.6 234◦19.9 -19◦39.35 195◦47.0 268◦40.9 -22◦42.3 161◦36.2 14◦56.2 245◦44.4 -18◦53.4 249◦22.0 -19◦39.26 210◦49.4 283◦40.0 -22◦42.1 176◦37.5 14◦56.6 260◦46.3 -18◦53.3 264◦24.2 -19◦39.17 225◦51.9 298◦39.1 -22◦41.8 191◦38.7 14◦57.0 275◦48.2 -18◦53.1 279◦26.3 -19◦39.18 240◦54.4 313◦38.2 -22◦41.5 206◦39.9 14◦57.5 290◦50.0 -18◦53.0 294◦28.5 -19◦39.09 255◦56.8 328◦37.3 -22◦41.3 221◦41.2 14◦57.9 305◦51.9 -18◦52.8 309◦30.6 -19◦38.910 270◦59.3 343◦36.3 -22◦41.0 236◦42.4 14◦58.4 320◦53.7 -18◦52.7 324◦32.8 -19◦38.911 286◦01.8 358◦35.4 -22◦40.7 251◦43.6 14◦58.8 335◦55.6 -18◦52.6 339◦35.0 -19◦38.812 301◦04.2 13◦34.5 -22◦40.5 266◦44.9 14◦59.3 350◦57.4 -18◦52.4 354◦37.1 -19◦38.713 316◦06.7 28◦33.6 -22◦40.2 281◦46.1 14◦59.7 5◦59.3 -18◦52.3 9◦39.3 -19◦38.614 331◦09.2 43◦32.7 -22◦39.9 296◦47.3 15◦00.2 21◦01.2 -18◦52.1 24◦41.4 -19◦38.615 346◦11.6 58◦31.7 -22◦39.6 311◦48.6 15◦00.6 36◦03.0 -18◦52.0 39◦43.6 -19◦38.516 1◦14.1 73◦30.8 -22◦39.4 326◦49.8 15◦01.1 51◦04.9 -18◦51.8 54◦45.7 -19◦38.417 16◦16.6 88◦29.9 -22◦39.1 341◦51.0 15◦01.5 66◦06.7 -18◦51.7 69◦47.9 -19◦38.418 31◦19.0 103◦29.0 -22◦38.8 356◦52.2 15◦01.9 81◦08.6 -18◦51.5 84◦50.1 -19◦38.319 46◦21.5 118◦28.1 -22◦38.5 11◦53.5 15◦02.4 96◦10.5 -18◦51.4 99◦52.2 -19◦38.220 61◦23.9 133◦27.1 -22◦38.2 26◦54.7 15◦02.8 111◦12.3 -18◦51.2 114◦54.4 -19◦38.221 76◦26.4 148◦26.2 -22◦38.0 41◦55.9 15◦03.3 126◦14.2 -18◦51.1 129◦56.5 -19◦38.122 91◦28.9 163◦25.3 -22◦37.7 56◦57.1 15◦03.7 141◦16.0 -18◦50.9 144◦58.7 -19◦38.023 106◦31.3 178◦24.4 -22◦37.4 71◦58.4 15◦04.2 156◦17.9 -18◦50.8 160◦00.8 -19◦38.0Mer.pass.:15:55 v-0.9 d0.3 m-3.8 v1.2 d0.4 m0.2 v1.9 d0.1 m-1.8 v2.2 d0.1 m0.6

StarsSHA Dec

Alpheratz 357◦38.2 29◦12.4Ankaa 353◦10.5 -42◦11.9

Schedar 349◦34.8 56◦39.3Diphda 348◦50.5 -17◦52.5

Achernar 335◦22.7 -57◦08.2Hamal 327◦54.8 23◦33.7Polaris 315◦21.1 89◦21.4Akamar 315◦14.1 -40◦13.6Menkar 314◦09.4 4◦10.2Mirfak 308◦32.6 49◦56.2

Aldebaran 290◦43.1 16◦33.0Rigel 281◦06.7 -8◦10.8

Capella 280◦26.3 46◦01.2Bellatrix 278◦26.0 6◦22.0Elnath 278◦05.6 28◦37.5Alnilam 275◦40.7 -1◦11.5

Betelgeuse 270◦55.3 7◦24.5Canopus 263◦53.3 -52◦42.6

Sirius 258◦28.6 -16◦44.6Adara 255◦08.0 -29◦00.2

Procyon 244◦53.8 5◦10.3Pollux 243◦20.8 27◦58.4Avior 234◦15.3 -59◦34.6Suhail 222◦48.2 -43◦31.0

Miaplacidus 221◦37.9 -69◦48.1Alphard 217◦50.6 -8◦45.0Regulus 207◦37.6 11◦51.8Dubhe 193◦44.6 61◦38.1

Denebola 182◦28.0 14◦27.2Gienah 175◦46.7 -17◦39.4Acrux 173◦03.3 -63◦12.6

Gacrux 171◦54.9 -57◦13.5Alioth 166◦15.8 55◦50.5Spica 158◦25.6 -11◦16.1Alcaid 152◦54.6 49◦12.3Hadar 148◦40.5 -60◦28.1

Menkent 148◦01.4 -36◦28.1Arcturus 145◦50.8 19◦04.6

Rigil Kent. 139◦44.8 -60◦54.9Zubenelg. 136◦59.7 -16◦07.6Kochab 137◦20.2 74◦03.9

Alphecca 126◦06.7 26◦38.6Antares 112◦20.0 -26◦28.5

Atria 107◦17.5 -69◦03.6Sabik 102◦06.7 -15◦45.0

Shaula 96◦15.1 -37◦07.0Rasalhague 96◦01.8 12◦32.7

Etamin 90◦44.1 51◦29.0Kaus Aust. 83◦37.1 -34◦22.4

Vega 80◦35.8 38◦48.1Nunki 75◦52.1 -26◦16.2Altair 62◦03.5 8◦55.3

Peacock 53◦11.4 -56◦40.1Deneb 49◦28.4 45◦21.3

Enif 33◦42.2 9◦58.2Alnair 27◦37.4 -46◦51.8

Fomalhaut 15◦18.4 -29◦30.9Scheat 13◦48.6 28◦11.8Markab 13◦33.3 15◦19.0

2021/1/1 SHA Mer.passVenus 75◦53.8 11:03Mars 326◦54.0 18:16

Jupiter 50◦29.5 12:42Saturn 53◦51.3 12:28

2021/1/2 SHA Mer.passVenus 74◦32.3 11:04Mars 326◦24.8 18:14

Jupiter 50◦15.0 12:39Saturn 53◦44.0 12:25

2021/1/2 SHA Mer.passVenus 73◦10.9 11:06Mars 325◦55.4 18:13

Jupiter 50◦00.5 12:36Saturn 53◦36.6 12:21

Horizontal paralaxVenus: 0.1Mars: 0.1

14

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2021 January 19 to Jan. 21

h Sun MoonTue GHA Dec GHA ν Dec d HP0 177◦20.3 -20◦19.9 108◦47.6 16.0 -1◦05.0 12.7 54.81 192◦20.2 -20◦19.4 123◦22.7 16.1 -0◦52.3 12.7 54.82 207◦20.0 -20◦18.9 137◦57.8 16.1 -0◦39.6 12.7 54.83 222◦19.8 -20◦18.3 152◦32.9 16.1 -0◦26.9 12.7 54.74 237◦19.6 -20◦17.8 167◦08.0 16.1 -0◦14.2 12.7 54.75 252◦19.4 -20◦17.3 181◦43.1 16.1 -0◦01.5 12.7 54.76 267◦19.2 -20◦16.8 196◦18.3 16.2 0◦11.2 12.7 54.77 282◦19.0 -20◦16.2 210◦53.5 16.2 0◦23.8 12.7 54.78 297◦18.8 -20◦15.7 225◦28.6 16.2 0◦36.5 12.7 54.79 312◦18.6 -20◦15.2 240◦03.9 16.2 0◦49.1 12.6 54.610 327◦18.4 -20◦14.6 254◦39.1 16.2 1◦01.8 12.6 54.611 342◦18.3 -20◦14.1 269◦14.3 16.2 1◦14.4 12.6 54.612 357◦18.1 -20◦13.6 283◦49.6 16.3 1◦27.0 12.6 54.613 12◦17.9 -20◦13.0 298◦24.8 16.3 1◦39.6 12.6 54.614 27◦17.7 -20◦12.5 313◦00.1 16.3 1◦52.2 12.6 54.615 42◦17.5 -20◦12.0 327◦35.3 16.3 2◦04.8 12.6 54.616 57◦17.3 -20◦11.4 342◦10.6 16.3 2◦17.4 12.6 54.517 72◦17.1 -20◦10.9 356◦45.9 16.3 2◦29.9 12.5 54.518 87◦16.9 -20◦10.3 11◦21.2 16.3 2◦42.5 12.5 54.519 102◦16.8 -20◦09.8 25◦56.5 16.3 2◦55.0 12.5 54.520 117◦16.6 -20◦09.3 40◦31.8 16.3 3◦07.5 12.5 54.521 132◦16.4 -20◦08.7 55◦07.1 16.3 3◦19.9 12.5 54.522 147◦16.2 -20◦08.2 69◦42.4 16.3 3◦32.4 12.5 54.523 162◦16.0 -20◦07.7 84◦17.7 16.3 3◦44.8 12.4 54.4

SD.=16.3 d=0.5 S.D.=14.9

Wed GHA Dec GHA ν Dec d HP0 177◦15.8 -20◦07.1 98◦53.1 16.3 3◦57.3 12.4 54.41 192◦15.6 -20◦06.6 113◦28.4 16.3 4◦09.7 12.4 54.42 207◦15.5 -20◦06.0 128◦03.7 16.3 4◦22.1 12.4 54.43 222◦15.3 -20◦05.5 142◦39.0 16.3 4◦34.4 12.3 54.44 237◦15.1 -20◦04.9 157◦14.3 16.3 4◦46.8 12.3 54.45 252◦14.9 -20◦04.4 171◦49.6 16.3 4◦59.1 12.3 54.46 267◦14.7 -20◦03.9 186◦24.8 16.3 5◦11.4 12.3 54.47 282◦14.5 -20◦03.3 201◦00.1 16.3 5◦23.6 12.3 54.48 297◦14.4 -20◦02.8 215◦35.4 16.3 5◦35.9 12.2 54.49 312◦14.2 -20◦02.2 230◦10.7 16.3 5◦48.1 12.2 54.310 327◦14.0 -20◦01.7 244◦45.9 16.2 6◦00.3 12.2 54.311 342◦13.8 -20◦01.1 259◦21.1 16.2 6◦12.4 12.2 54.312 357◦13.6 -20◦00.6 273◦56.4 16.2 6◦24.6 12.1 54.313 12◦13.5 -20◦00.0 288◦31.6 16.2 6◦36.7 12.1 54.314 27◦13.3 -19◦59.5 303◦06.8 16.2 6◦48.8 12.1 54.315 42◦13.1 -19◦58.9 317◦42.0 16.2 7◦00.8 12.0 54.316 57◦12.9 -19◦58.4 332◦17.1 16.2 7◦12.9 12.0 54.317 72◦12.7 -19◦57.8 346◦52.3 16.1 7◦24.9 12.0 54.318 87◦12.6 -19◦57.3 1◦27.4 16.1 7◦36.8 11.9 54.319 102◦12.4 -19◦56.7 16◦02.5 16.1 7◦48.8 11.9 54.320 117◦12.2 -19◦56.2 30◦37.6 16.1 8◦00.7 11.9 54.321 132◦12.0 -19◦55.6 45◦12.7 16.1 8◦12.5 11.9 54.322 147◦11.9 -19◦55.0 59◦47.7 16.0 8◦24.4 11.8 54.323 162◦11.7 -19◦54.5 74◦22.7 16.0 8◦36.2 11.8 54.3

SD.=16.3 d=0.5 S.D.=14.9

Thu GHA Dec GHA ν Dec d HP0 177◦11.5 -19◦53.9 88◦57.7 16.0 8◦47.9 11.8 54.31 192◦11.3 -19◦53.4 103◦32.7 16.0 8◦59.7 11.7 54.22 207◦11.2 -19◦52.8 118◦07.7 15.9 9◦11.4 11.7 54.23 222◦11.0 -19◦52.3 132◦42.6 15.9 9◦23.0 11.6 54.24 237◦10.8 -19◦51.7 147◦17.5 15.9 9◦34.7 11.6 54.25 252◦10.6 -19◦51.1 161◦52.3 15.9 9◦46.2 11.6 54.26 267◦10.5 -19◦50.6 176◦27.2 15.8 9◦57.8 11.5 54.27 282◦10.3 -19◦50.0 191◦02.0 15.8 10◦09.3 11.5 54.28 297◦10.1 -19◦49.5 205◦36.8 15.8 10◦20.8 11.5 54.29 312◦09.9 -19◦48.9 220◦11.5 15.7 10◦32.2 11.4 54.210 327◦09.8 -19◦48.3 234◦46.2 15.7 10◦43.6 11.4 54.211 342◦09.6 -19◦47.8 249◦20.9 15.7 10◦54.9 11.3 54.212 357◦09.4 -19◦47.2 263◦55.5 15.6 11◦06.3 11.3 54.213 12◦09.2 -19◦46.6 278◦30.1 15.6 11◦17.5 11.2 54.214 27◦09.1 -19◦46.1 293◦04.7 15.5 11◦28.7 11.2 54.215 42◦08.9 -19◦45.5 307◦39.2 15.5 11◦39.9 11.2 54.216 57◦08.7 -19◦44.9 322◦13.7 15.5 11◦51.1 11.1 54.217 72◦08.6 -19◦44.4 336◦48.1 15.4 12◦02.1 11.1 54.218 87◦08.4 -19◦43.8 351◦22.6 15.4 12◦13.2 11.0 54.219 102◦08.2 -19◦43.2 5◦56.9 15.3 12◦24.2 11.0 54.220 117◦08.1 -19◦42.7 20◦31.2 15.3 12◦35.1 10.9 54.221 132◦07.9 -19◦42.1 35◦05.5 15.3 12◦46.0 10.9 54.222 147◦07.7 -19◦41.5 49◦39.8 15.2 12◦56.9 10.8 54.223 162◦07.5 -19◦41.0 64◦13.9 15.2 13◦07.7 10.8 54.2

SD.=16.3 d=0.6 S.D.=14.8

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 07:47 09:30 –:– –:– 14:53 16:3670 07:34 09:01 11:03 13:21 15:22 16:4968 07:24 08:40 10:09 14:14 15:43 16:5966 07:15 08:23 09:36 14:47 15:60 17:0864 07:07 08:10 09:13 15:10 16:13 17:1662 07:01 07:58 08:54 15:29 16:25 17:2260 06:55 07:48 08:39 15:44 16:35 17:2858 06:49 07:39 08:26 15:57 16:44 17:3356 06:45 07:31 08:15 16:08 16:52 17:3854 06:40 07:24 08:05 16:18 16:59 17:4352 06:36 07:18 07:56 16:27 17:05 17:4750 06:32 07:12 07:48 16:35 17:11 17:5145 06:23 06:59 07:31 16:51 17:24 17:6040 06:15 06:48 07:18 17:05 17:34 18:0835 06:08 06:39 07:06 17:17 17:44 18:1530 06:01 06:30 06:56 17:27 17:53 18:2220 05:47 06:14 06:38 17:45 18:08 18:3510 05:34 05:60 06:22 18:00 18:22 18:480 05:20 05:45 06:07 18:15 18:37 19:02-10 05:04 05:30 05:53 18:29 18:52 19:18-20 04:45 05:13 05:37 18:45 19:09 19:37-30 04:20 04:52 05:18 19:04 19:30 20:02-35 04:04 04:39 05:07 19:15 19:43 20:18-40 03:45 04:24 04:55 19:27 19:58 20:37-45 03:20 04:05 04:40 19:42 20:16 21:01-50 02:46 03:41 04:22 19:60 20:40 21:35-52 02:27 03:29 04:13 20:08 20:52 21:53-54 02:04 03:16 04:03 20:18 21:05 22:15-56 01:32 02:60 03:52 20:29 21:21 22:46-58 –:– 02:40 03:39 20:41 21:40 –:–-60 –:– 02:15 03:24 20:56 22:04 –:–

Moonrise MoonsetLat. Tue Wed Thu Tue Wed Thu72 10:49 10:26 09:60 –:– 00:13 02:0670 10:51 10:34 10:16 –:– 00:08 01:5168 10:52 10:41 10:30 –:– 00:03 01:4066 10:53 10:47 10:41 23:59 –:– 01:3064 10:54 10:52 10:50 23:56 –:– 01:2262 10:54 10:56 10:58 23:53 –:– 01:1560 10:55 10:60 11:05 23:51 –:– 01:0958 10:56 11:03 11:11 23:49 –:– 01:0456 10:56 11:06 11:17 23:47 –:– 00:5954 10:57 11:09 11:22 23:45 –:– 00:5552 10:57 11:11 11:26 23:43 –:– 00:5250 10:58 11:14 11:30 23:42 –:– 00:4845 10:59 11:18 11:39 23:39 –:– 00:4140 10:59 11:22 11:47 23:36 –:– 00:3535 11:00 11:26 11:53 23:34 –:– 00:3030 11:01 11:29 11:59 23:32 –:– 00:2520 11:02 11:35 12:09 23:29 –:– 00:1710 11:03 11:40 12:17 23:26 –:– 00:100 11:04 11:44 12:25 23:23 –:– 00:04-10 11:04 11:49 12:34 23:20 23:57 –:–-20 11:05 11:54 12:42 23:17 23:51 –:–-30 11:07 11:60 12:53 23:14 23:43 –:–-35 11:07 12:03 12:59 23:12 23:38 –:–-40 11:08 12:07 13:05 23:10 23:33 23:58-45 11:09 12:11 13:13 23:07 23:28 23:49-50 11:10 12:16 13:23 23:04 23:21 23:38-52 11:10 12:19 13:27 23:03 23:17 23:33-54 11:11 12:21 13:32 23:02 23:14 23:28-56 11:12 12:24 13:37 22:60 23:10 23:22-58 11:12 12:28 13:43 22:58 23:06 23:15-60 11:13 12:31 13:50 22:56 23:01 23:07

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower19 10:39 10:48 12:10 17:13 04:52 6(37%)20 10:57 11:06 12:11 17:54 05:33 7(47%)21 11:14 11:22 12:11 18:35 06:14 8(56%)

15

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January 22, 23 ,24 (Fri., Sat., Sun.)Aries Venus Mars Jupiter Saturn

Fri GHA GHA Dec GHA Dec GHA Dec GHA Dec0 121◦33.8 193◦23.5 -22◦37.1 86◦59.6 15◦04.6 171◦19.7 -18◦50.6 175◦03.0 -19◦37.91 136◦36.3 208◦22.5 -22◦36.8 102◦00.8 15◦05.1 186◦21.6 -18◦50.5 190◦05.1 -19◦37.82 151◦38.7 223◦21.6 -22◦36.5 117◦02.1 15◦05.5 201◦23.5 -18◦50.3 205◦07.3 -19◦37.83 166◦41.2 238◦20.7 -22◦36.2 132◦03.3 15◦05.9 216◦25.3 -18◦50.2 220◦09.5 -19◦37.74 181◦43.7 253◦19.8 -22◦35.9 147◦04.5 15◦06.4 231◦27.2 -18◦50.0 235◦11.6 -19◦37.65 196◦46.1 268◦18.9 -22◦35.7 162◦05.7 15◦06.8 246◦29.0 -18◦49.9 250◦13.8 -19◦37.66 211◦48.6 283◦18.0 -22◦35.4 177◦06.9 15◦07.3 261◦30.9 -18◦49.7 265◦15.9 -19◦37.57 226◦51.1 298◦17.0 -22◦35.1 192◦08.2 15◦07.7 276◦32.8 -18◦49.6 280◦18.1 -19◦37.48 241◦53.5 313◦16.1 -22◦34.8 207◦09.4 15◦08.2 291◦34.6 -18◦49.4 295◦20.2 -19◦37.49 256◦56.0 328◦15.2 -22◦34.5 222◦10.6 15◦08.6 306◦36.5 -18◦49.3 310◦22.4 -19◦37.310 271◦58.4 343◦14.3 -22◦34.2 237◦11.8 15◦09.1 321◦38.3 -18◦49.1 325◦24.6 -19◦37.211 287◦00.9 358◦13.4 -22◦33.9 252◦13.1 15◦09.5 336◦40.2 -18◦49.0 340◦26.7 -19◦37.212 302◦03.4 13◦12.5 -22◦33.6 267◦14.3 15◦09.9 351◦42.0 -18◦48.8 355◦28.9 -19◦37.113 317◦05.8 28◦11.5 -22◦33.3 282◦15.5 15◦10.4 6◦43.9 -18◦48.7 10◦31.0 -19◦37.014 332◦08.3 43◦10.6 -22◦33.0 297◦16.7 15◦10.8 21◦45.8 -18◦48.5 25◦33.2 -19◦37.015 347◦10.8 58◦09.7 -22◦32.7 312◦17.9 15◦11.3 36◦47.6 -18◦48.4 40◦35.3 -19◦36.916 2◦13.2 73◦08.8 -22◦32.4 327◦19.2 15◦11.7 51◦49.5 -18◦48.2 55◦37.5 -19◦36.817 17◦15.7 88◦07.9 -22◦32.1 342◦20.4 15◦12.2 66◦51.3 -18◦48.1 70◦39.6 -19◦36.818 32◦18.2 103◦07.0 -22◦31.7 357◦21.6 15◦12.6 81◦53.2 -18◦47.9 85◦41.8 -19◦36.719 47◦20.6 118◦06.1 -22◦31.4 12◦22.8 15◦13.0 96◦55.1 -18◦47.8 100◦44.0 -19◦36.620 62◦23.1 133◦05.1 -22◦31.1 27◦24.0 15◦13.5 111◦56.9 -18◦47.6 115◦46.1 -19◦36.621 77◦25.5 148◦04.2 -22◦30.8 42◦25.3 15◦13.9 126◦58.8 -18◦47.5 130◦48.3 -19◦36.522 92◦28.0 163◦03.3 -22◦30.5 57◦26.5 15◦14.4 142◦00.6 -18◦47.3 145◦50.4 -19◦36.423 107◦30.5 178◦02.4 -22◦30.2 72◦27.7 15◦14.8 157◦02.5 -18◦47.2 160◦52.6 -19◦36.3Mer.pass.:15:51 v-0.9 d0.3 m-3.8 v1.2 d0.4 m0.3 v1.9 d0.1 m-1.8 v2.2 d0.1 m0.6

Sat GHA GHA Dec GHA Dec GHA Dec GHA Dec0 122◦32.9 193◦01.5 -22◦29.9 87◦28.9 15◦15.3 172◦04.3 -18◦47.0 175◦54.7 -19◦36.31 137◦35.4 208◦00.6 -22◦29.6 102◦30.1 15◦15.7 187◦06.2 -18◦46.9 190◦56.9 -19◦36.22 152◦37.9 222◦59.7 -22◦29.2 117◦31.3 15◦16.1 202◦08.1 -18◦46.7 205◦59.1 -19◦36.13 167◦40.3 237◦58.8 -22◦28.9 132◦32.6 15◦16.6 217◦09.9 -18◦46.6 221◦01.2 -19◦36.14 182◦42.8 252◦57.8 -22◦28.6 147◦33.8 15◦17.0 232◦11.8 -18◦46.4 236◦03.4 -19◦36.05 197◦45.3 267◦56.9 -22◦28.3 162◦35.0 15◦17.5 247◦13.6 -18◦46.3 251◦05.5 -19◦35.96 212◦47.7 282◦56.0 -22◦28.0 177◦36.2 15◦17.9 262◦15.5 -18◦46.1 266◦07.7 -19◦35.97 227◦50.2 297◦55.1 -22◦27.6 192◦37.4 15◦18.4 277◦17.4 -18◦46.0 281◦09.8 -19◦35.88 242◦52.7 312◦54.2 -22◦27.3 207◦38.6 15◦18.8 292◦19.2 -18◦45.8 296◦12.0 -19◦35.79 257◦55.1 327◦53.3 -22◦27.0 222◦39.8 15◦19.3 307◦21.1 -18◦45.7 311◦14.1 -19◦35.710 272◦57.6 342◦52.4 -22◦26.7 237◦41.1 15◦19.7 322◦22.9 -18◦45.5 326◦16.3 -19◦35.611 288◦00.0 357◦51.5 -22◦26.3 252◦42.3 15◦20.1 337◦24.8 -18◦45.4 341◦18.5 -19◦35.512 303◦02.5 12◦50.6 -22◦26.0 267◦43.5 15◦20.6 352◦26.6 -18◦45.2 356◦20.6 -19◦35.513 318◦05.0 27◦49.7 -22◦25.7 282◦44.7 15◦21.0 7◦28.5 -18◦45.1 11◦22.8 -19◦35.414 333◦07.4 42◦48.7 -22◦25.3 297◦45.9 15◦21.5 22◦30.4 -18◦44.9 26◦24.9 -19◦35.315 348◦09.9 57◦47.8 -22◦25.0 312◦47.1 15◦21.9 37◦32.2 -18◦44.8 41◦27.1 -19◦35.316 3◦12.4 72◦46.9 -22◦24.7 327◦48.3 15◦22.4 52◦34.1 -18◦44.6 56◦29.2 -19◦35.217 18◦14.8 87◦46.0 -22◦24.3 342◦49.5 15◦22.8 67◦35.9 -18◦44.5 71◦31.4 -19◦35.118 33◦17.3 102◦45.1 -22◦24.0 357◦50.7 15◦23.2 82◦37.8 -18◦44.3 86◦33.6 -19◦35.119 48◦19.8 117◦44.2 -22◦23.7 12◦52.0 15◦23.7 97◦39.7 -18◦44.2 101◦35.7 -19◦35.020 63◦22.2 132◦43.3 -22◦23.3 27◦53.2 15◦24.1 112◦41.5 -18◦44.0 116◦37.9 -19◦34.921 78◦24.7 147◦42.4 -22◦23.0 42◦54.4 15◦24.6 127◦43.4 -18◦43.9 131◦40.0 -19◦34.922 93◦27.2 162◦41.5 -22◦22.6 57◦55.6 15◦25.0 142◦45.2 -18◦43.7 146◦42.2 -19◦34.823 108◦29.6 177◦40.6 -22◦22.3 72◦56.8 15◦25.4 157◦47.1 -18◦43.6 161◦44.3 -19◦34.7Mer.pass.:15:47 v-0.9 d0.3 m-3.8 v1.2 d0.4 m0.3 v1.9 d0.1 m-1.8 v2.2 d0.1 m0.6

Sun GHA GHA Dec GHA Dec GHA Dec GHA Dec0 123◦32.1 192◦39.7 -22◦22.0 87◦58.0 15◦25.9 172◦49.0 -18◦43.4 176◦46.5 -19◦34.61 138◦34.5 207◦38.8 -22◦21.6 102◦59.2 15◦26.3 187◦50.8 -18◦43.3 191◦48.7 -19◦34.62 153◦37.0 222◦37.9 -22◦21.3 118◦00.4 15◦26.8 202◦52.7 -18◦43.1 206◦50.8 -19◦34.53 168◦39.5 237◦37.0 -22◦20.9 133◦01.6 15◦27.2 217◦54.5 -18◦43.0 221◦53.0 -19◦34.44 183◦41.9 252◦36.1 -22◦20.6 148◦02.8 15◦27.7 232◦56.4 -18◦42.8 236◦55.1 -19◦34.45 198◦44.4 267◦35.2 -22◦20.2 163◦04.0 15◦28.1 247◦58.2 -18◦42.7 251◦57.3 -19◦34.36 213◦46.9 282◦34.3 -22◦19.9 178◦05.2 15◦28.5 263◦00.1 -18◦42.5 266◦59.4 -19◦34.27 228◦49.3 297◦33.3 -22◦19.5 193◦06.4 15◦29.0 278◦02.0 -18◦42.4 282◦01.6 -19◦34.28 243◦51.8 312◦32.4 -22◦19.2 208◦07.6 15◦29.4 293◦03.8 -18◦42.2 297◦03.7 -19◦34.19 258◦54.3 327◦31.5 -22◦18.8 223◦08.9 15◦29.9 308◦05.7 -18◦42.1 312◦05.9 -19◦34.010 273◦56.7 342◦30.6 -22◦18.5 238◦10.1 15◦30.3 323◦07.5 -18◦41.9 327◦08.1 -19◦34.011 288◦59.2 357◦29.7 -22◦18.1 253◦11.3 15◦30.8 338◦09.4 -18◦41.8 342◦10.2 -19◦33.912 304◦01.6 12◦28.8 -22◦17.7 268◦12.5 15◦31.2 353◦11.3 -18◦41.6 357◦12.4 -19◦33.813 319◦04.1 27◦27.9 -22◦17.4 283◦13.7 15◦31.6 8◦13.1 -18◦41.5 12◦14.5 -19◦33.814 334◦06.6 42◦27.0 -22◦17.0 298◦14.9 15◦32.1 23◦15.0 -18◦41.3 27◦16.7 -19◦33.715 349◦09.0 57◦26.1 -22◦16.7 313◦16.1 15◦32.5 38◦16.8 -18◦41.2 42◦18.8 -19◦33.616 4◦11.5 72◦25.2 -22◦16.3 328◦17.3 15◦33.0 53◦18.7 -18◦41.0 57◦21.0 -19◦33.617 19◦14.0 87◦24.3 -22◦15.9 343◦18.5 15◦33.4 68◦20.5 -18◦40.9 72◦23.2 -19◦33.518 34◦16.4 102◦23.4 -22◦15.6 358◦19.7 15◦33.8 83◦22.4 -18◦40.7 87◦25.3 -19◦33.419 49◦18.9 117◦22.5 -22◦15.2 13◦20.9 15◦34.3 98◦24.3 -18◦40.6 102◦27.5 -19◦33.420 64◦21.4 132◦21.6 -22◦14.8 28◦22.1 15◦34.7 113◦26.1 -18◦40.4 117◦29.6 -19◦33.321 79◦23.8 147◦20.7 -22◦14.5 43◦23.3 15◦35.2 128◦28.0 -18◦40.3 132◦31.8 -19◦33.222 94◦26.3 162◦19.8 -22◦14.1 58◦24.5 15◦35.6 143◦29.8 -18◦40.1 147◦33.9 -19◦33.223 109◦28.8 177◦18.9 -22◦13.7 73◦25.7 15◦36.1 158◦31.7 -18◦40.0 162◦36.1 -19◦33.1Mer.pass.:15:43 v-0.9 d0.3 m-3.8 v1.2 d0.4 m0.3 v1.9 d0.2 m-1.8 v2.2 d0.1 m0.6

StarsSHA Dec

Alpheratz 357◦38.2 29◦12.4Ankaa 353◦10.6 -42◦11.9

Schedar 349◦34.8 56◦39.3Diphda 348◦50.5 -17◦52.5

Achernar 335◦22.8 -57◦08.2Hamal 327◦54.8 23◦33.7Polaris 315◦22.3 89◦21.4Akamar 315◦14.1 -40◦13.6Menkar 314◦09.4 4◦10.2Mirfak 308◦32.6 49◦56.2

Aldebaran 290◦43.1 16◦33.0Rigel 281◦06.7 -8◦10.8

Capella 280◦26.3 46◦01.2Bellatrix 278◦26.1 6◦22.0Elnath 278◦05.6 28◦37.5Alnilam 275◦40.7 -1◦11.5

Betelgeuse 270◦55.3 7◦24.5Canopus 263◦53.3 -52◦42.6

Sirius 258◦28.6 -16◦44.7Adara 255◦08.0 -29◦00.2

Procyon 244◦53.8 5◦10.3Pollux 243◦20.8 27◦58.4Avior 234◦15.3 -59◦34.6Suhail 222◦48.2 -43◦31.0

Miaplacidus 221◦37.9 -69◦48.1Alphard 217◦50.6 -8◦45.0Regulus 207◦37.5 11◦51.8Dubhe 193◦44.6 61◦38.1

Denebola 182◦28.0 14◦27.2Gienah 175◦46.7 -17◦39.4Acrux 173◦03.2 -63◦12.6

Gacrux 171◦54.9 -57◦13.5Alioth 166◦15.8 55◦50.5Spica 158◦25.6 -11◦16.1Alcaid 152◦54.6 49◦12.3Hadar 148◦40.5 -60◦28.1

Menkent 148◦01.4 -36◦28.1Arcturus 145◦50.7 19◦04.6

Rigil Kent. 139◦44.7 -60◦54.9Zubenelg. 136◦59.6 -16◦07.6Kochab 137◦20.2 74◦03.9

Alphecca 126◦06.7 26◦38.5Antares 112◦20.0 -26◦28.6

Atria 107◦17.5 -69◦03.6Sabik 102◦06.7 -15◦45.0

Shaula 96◦15.1 -37◦07.0Rasalhague 96◦01.8 12◦32.7

Etamin 90◦44.1 51◦29.0Kaus Aust. 83◦37.1 -34◦22.4

Vega 80◦35.8 38◦48.0Nunki 75◦52.1 -26◦16.2Altair 62◦03.5 8◦55.3

Peacock 53◦11.4 -56◦40.1Deneb 49◦28.4 45◦21.3

Enif 33◦42.2 9◦58.2Alnair 27◦37.4 -46◦51.7

Fomalhaut 15◦18.4 -29◦30.9Scheat 13◦48.6 28◦11.8Markab 13◦33.3 15◦19.0

2021/1/2 SHA Mer.passVenus 71◦49.7 11:07Mars 325◦25.8 18:11

Jupiter 49◦45.9 12:33Saturn 53◦29.2 12:18

2021/1/2 SHA Mer.passVenus 70◦28.6 11:09Mars 324◦56.0 18:09

Jupiter 49◦31.4 12:30Saturn 53◦21.8 12:15

2021/1/2 SHA Mer.passVenus 69◦07.6 11:10Mars 324◦25.9 18:07

Jupiter 49◦16.9 12:27Saturn 53◦14.4 12:11

Horizontal paralaxVenus: 0.1Mars: 0.1

16

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2021 January 22 to Jan. 24

h Sun MoonFri GHA Dec GHA ν Dec d HP0 177◦07.4 -19◦40.4 78◦48.1 15.1 13◦18.4 10.7 54.21 192◦07.2 -19◦39.8 93◦22.2 15.1 13◦29.1 10.7 54.22 207◦07.0 -19◦39.2 107◦56.2 15.0 13◦39.8 10.6 54.33 222◦06.9 -19◦38.7 122◦30.3 15.0 13◦50.4 10.6 54.34 237◦06.7 -19◦38.1 137◦04.2 14.9 14◦00.9 10.5 54.35 252◦06.5 -19◦37.5 151◦38.1 14.9 14◦11.4 10.5 54.36 267◦06.4 -19◦36.9 166◦12.0 14.8 14◦21.9 10.4 54.37 282◦06.2 -19◦36.4 180◦45.8 14.8 14◦32.3 10.4 54.38 297◦06.0 -19◦35.8 195◦19.5 14.7 14◦42.6 10.3 54.39 312◦05.9 -19◦35.2 209◦53.2 14.7 14◦52.9 10.2 54.310 327◦05.7 -19◦34.6 224◦26.9 14.6 15◦03.1 10.2 54.311 342◦05.6 -19◦34.1 239◦00.5 14.6 15◦13.2 10.1 54.312 357◦05.4 -19◦33.5 253◦34.0 14.5 15◦23.3 10.1 54.313 12◦05.2 -19◦32.9 268◦07.5 14.5 15◦33.4 10.0 54.314 27◦05.1 -19◦32.3 282◦40.9 14.4 15◦43.3 9.9 54.315 42◦04.9 -19◦31.7 297◦14.3 14.3 15◦53.3 9.9 54.316 57◦04.7 -19◦31.1 311◦47.6 14.3 16◦03.1 9.8 54.317 72◦04.6 -19◦30.6 326◦20.8 14.2 16◦12.9 9.8 54.318 87◦04.4 -19◦30.0 340◦54.0 14.2 16◦22.6 9.7 54.419 102◦04.3 -19◦29.4 355◦27.2 14.1 16◦32.3 9.6 54.420 117◦04.1 -19◦28.8 10◦00.2 14.0 16◦41.9 9.6 54.421 132◦03.9 -19◦28.2 24◦33.3 14.0 16◦51.4 9.5 54.422 147◦03.8 -19◦27.6 39◦06.2 13.9 17◦00.9 9.4 54.423 162◦03.6 -19◦27.1 53◦39.1 13.9 17◦10.3 9.4 54.4

SD.=16.3 d=0.6 S.D.=14.8

Sat GHA Dec GHA ν Dec d HP0 177◦03.4 -19◦26.5 68◦11.9 13.8 17◦19.6 9.3 54.41 192◦03.3 -19◦25.9 82◦44.7 13.7 17◦28.9 9.2 54.42 207◦03.1 -19◦25.3 97◦17.4 13.7 17◦38.1 9.2 54.43 222◦03.0 -19◦24.7 111◦50.0 13.6 17◦47.2 9.1 54.44 237◦02.8 -19◦24.1 126◦22.6 13.5 17◦56.3 9.0 54.45 252◦02.7 -19◦23.5 140◦55.1 13.5 18◦05.3 8.9 54.56 267◦02.5 -19◦22.9 155◦27.5 13.4 18◦14.2 8.9 54.57 282◦02.3 -19◦22.3 169◦59.9 13.3 18◦23.0 8.8 54.58 297◦02.2 -19◦21.8 184◦32.2 13.3 18◦31.8 8.7 54.59 312◦02.0 -19◦21.2 199◦04.5 13.2 18◦40.4 8.6 54.510 327◦01.9 -19◦20.6 213◦36.6 13.1 18◦49.0 8.6 54.511 342◦01.7 -19◦20.0 228◦08.7 13.1 18◦57.6 8.5 54.512 357◦01.6 -19◦19.4 242◦40.8 13.0 19◦06.0 8.4 54.513 12◦01.4 -19◦18.8 257◦12.7 12.9 19◦14.4 8.3 54.614 27◦01.2 -19◦18.2 271◦44.6 12.9 19◦22.7 8.3 54.615 42◦01.1 -19◦17.6 286◦16.5 12.8 19◦30.9 8.2 54.616 57◦00.9 -19◦17.0 300◦48.2 12.7 19◦39.0 8.1 54.617 72◦00.8 -19◦16.4 315◦19.9 12.6 19◦47.1 8.0 54.618 87◦00.6 -19◦15.8 329◦51.5 12.6 19◦55.1 7.9 54.619 102◦00.5 -19◦15.2 344◦23.0 12.5 20◦02.9 7.8 54.620 117◦00.3 -19◦14.6 358◦54.5 12.4 20◦10.7 7.8 54.721 132◦00.2 -19◦14.0 13◦25.9 12.4 20◦18.5 7.7 54.722 147◦00.0 -19◦13.4 27◦57.2 12.3 20◦26.1 7.6 54.723 161◦59.9 -19◦12.8 42◦28.5 12.2 20◦33.6 7.5 54.7

SD.=16.3 d=0.6 S.D.=14.8

Sun GHA Dec GHA ν Dec d HP0 176◦59.7 -19◦12.2 56◦59.7 12.1 20◦41.1 7.4 54.71 191◦59.6 -19◦11.6 71◦30.8 12.1 20◦48.4 7.3 54.72 206◦59.4 -19◦11.0 86◦01.8 12.0 20◦55.7 7.2 54.83 221◦59.3 -19◦10.4 100◦32.8 11.9 21◦02.9 7.1 54.84 236◦59.1 -19◦09.8 115◦03.7 11.9 21◦10.0 7.0 54.85 251◦59.0 -19◦09.2 129◦34.5 11.8 21◦17.0 6.9 54.86 266◦58.8 -19◦08.6 144◦05.3 11.7 21◦23.9 6.9 54.87 281◦58.7 -19◦08.0 158◦35.9 11.6 21◦30.7 6.8 54.88 296◦58.5 -19◦07.4 173◦06.5 11.6 21◦37.4 6.7 54.99 311◦58.4 -19◦06.8 187◦37.1 11.5 21◦44.0 6.6 54.910 326◦58.2 -19◦06.1 202◦07.5 11.4 21◦50.5 6.5 54.911 341◦58.1 -19◦05.5 216◦37.9 11.3 21◦56.9 6.4 54.912 356◦57.9 -19◦04.9 231◦08.2 11.3 22◦03.2 6.3 54.913 11◦57.8 -19◦04.3 245◦38.5 11.2 22◦09.4 6.2 55.014 26◦57.6 -19◦03.7 260◦08.6 11.1 22◦15.6 6.1 55.015 41◦57.5 -19◦03.1 274◦38.7 11.1 22◦21.6 6.0 55.016 56◦57.3 -19◦02.5 289◦08.7 11.0 22◦27.5 5.9 55.017 71◦57.2 -19◦01.9 303◦38.7 10.9 22◦33.3 5.8 55.018 86◦57.1 -19◦01.3 318◦08.6 10.8 22◦39.0 5.6 55.119 101◦56.9 -19◦00.6 332◦38.4 10.8 22◦44.6 5.5 55.120 116◦56.8 -19◦00.0 347◦08.1 10.7 22◦50.1 5.4 55.121 131◦56.6 -18◦59.4 1◦37.8 10.6 22◦55.5 5.3 55.122 146◦56.5 -18◦58.8 16◦07.4 10.6 23◦00.7 5.2 55.123 161◦56.3 -18◦58.2 30◦36.9 10.5 23◦05.9 5.1 55.2

SD.=16.2 d=0.6 S.D.=14.9

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 07:38 09:17 –:– –:– 15:08 16:4770 07:27 08:51 10:39 13:46 15:33 16:5868 07:17 08:32 09:55 14:29 15:53 17:0766 07:09 08:16 09:26 14:58 16:08 17:1564 07:02 08:03 09:05 15:20 16:21 17:2262 06:56 07:52 08:47 15:37 16:32 17:2960 06:51 07:43 08:33 15:51 16:42 17:3458 06:46 07:35 08:21 16:04 16:50 17:3956 06:41 07:27 08:10 16:14 16:57 17:4354 06:37 07:21 08:01 16:24 17:04 17:4852 06:33 07:15 07:52 16:32 17:10 17:5150 06:29 07:09 07:45 16:39 17:15 17:5545 06:21 06:57 07:29 16:55 17:27 18:0340 06:14 06:46 07:16 17:09 17:38 18:1135 06:07 06:37 07:04 17:20 17:47 18:1730 06:00 06:29 06:55 17:30 17:55 18:2420 05:47 06:14 06:37 17:47 18:10 18:3710 05:35 06:00 06:22 18:01 18:24 18:490 05:21 05:46 06:08 18:15 18:37 19:03-10 05:05 05:32 05:54 18:30 18:52 19:18-20 04:47 05:15 05:39 18:45 19:09 19:37-30 04:23 04:54 05:21 19:03 19:29 20:00-35 04:08 04:42 05:10 19:13 19:41 20:15-40 03:49 04:27 04:58 19:25 19:56 20:34-45 03:25 04:09 04:44 19:39 20:13 20:57-50 02:53 03:47 04:26 19:56 20:36 21:29-52 02:36 03:35 04:18 20:05 20:47 21:46-54 02:14 03:22 04:09 20:14 20:60 22:07-56 01:46 03:07 03:58 20:24 21:15 22:34-58 00:57 02:49 03:46 20:36 21:32 23:19-60 –:– 02:27 03:32 20:50 21:54 –:–

Moonrise MoonsetLat. Fri Sat Sun Fri Sat Sun72 09:22 –:– –:– 04:12 –:– –:–70 09:53 09:13 –:– 03:42 05:54 –:–68 10:16 09:57 09:12 03:20 05:11 07:3466 10:35 10:27 10:17 03:04 04:43 06:3064 10:49 10:50 10:52 02:50 04:21 05:5662 11:02 11:08 11:18 02:38 04:04 05:3160 11:12 11:23 11:38 02:29 03:49 05:1158 11:22 11:35 11:55 02:20 03:37 04:5556 11:30 11:46 12:09 02:13 03:27 04:4154 11:37 11:56 12:21 02:06 03:18 04:2952 11:44 12:05 12:32 02:00 03:09 04:1950 11:50 12:13 12:42 01:55 03:02 04:0945 12:02 12:29 13:02 01:43 02:46 03:5040 12:13 12:43 13:19 01:34 02:34 03:3435 12:22 12:55 13:33 01:26 02:23 03:2130 12:30 13:05 13:45 01:19 02:13 03:0920 12:44 13:23 14:06 01:06 01:57 02:4910 12:57 13:39 14:24 00:56 01:43 02:320 13:08 13:53 14:41 00:46 01:30 02:16-10 13:20 14:08 14:58 00:36 01:16 01:60-20 13:32 14:24 15:17 00:25 01:02 01:43-30 13:47 14:42 15:38 00:13 00:46 01:23-35 13:55 14:53 15:51 00:06 00:37 01:12-40 14:05 15:05 16:05 –:– 00:27 00:59-45 14:16 15:19 16:23 –:– 00:14 00:44-50 14:30 15:37 16:44 23:59 –:– 00:25-52 14:36 15:46 16:54 23:52 –:– 00:16-54 14:43 15:55 17:06 23:45 –:– 00:06-56 14:51 16:06 17:19 23:36 23:55 –:–-58 15:00 16:18 17:35 23:26 23:42 –:–-60 15:11 16:32 17:53 23:15 23:27 23:47

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower22 11:31 11:39 12:11 19:18 06:56 9(65%)23 11:46 11:54 12:11 20:04 07:41 10(74%)24 12:01 12:08 12:12 20:53 08:28 11(82%)

17

Page 18: Download the Nautical Almanac for 2017 and 2018 - Generated by … · 2017. 7. 3. · For security relevant applications you should buy an official version of the nautical almanac

January 25, 26 ,27 (Mon., Tue., Wed.)Aries Venus Mars Jupiter Saturn

Mon GHA GHA Dec GHA Dec GHA Dec GHA Dec0 124◦31.2 192◦18.0 -22◦13.4 88◦26.9 15◦36.5 173◦33.6 -18◦39.8 177◦38.3 -19◦33.01 139◦33.7 207◦17.1 -22◦13.0 103◦28.1 15◦36.9 188◦35.4 -18◦39.6 192◦40.4 -19◦32.92 154◦36.1 222◦16.2 -22◦12.6 118◦29.3 15◦37.4 203◦37.3 -18◦39.5 207◦42.6 -19◦32.93 169◦38.6 237◦15.3 -22◦12.2 133◦30.5 15◦37.8 218◦39.1 -18◦39.3 222◦44.7 -19◦32.84 184◦41.1 252◦14.4 -22◦11.9 148◦31.7 15◦38.3 233◦41.0 -18◦39.2 237◦46.9 -19◦32.75 199◦43.5 267◦13.5 -22◦11.5 163◦32.9 15◦38.7 248◦42.9 -18◦39.0 252◦49.0 -19◦32.76 214◦46.0 282◦12.6 -22◦11.1 178◦34.1 15◦39.1 263◦44.7 -18◦38.9 267◦51.2 -19◦32.67 229◦48.5 297◦11.7 -22◦10.7 193◦35.3 15◦39.6 278◦46.6 -18◦38.7 282◦53.3 -19◦32.58 244◦50.9 312◦10.9 -22◦10.3 208◦36.5 15◦40.0 293◦48.4 -18◦38.6 297◦55.5 -19◦32.59 259◦53.4 327◦10.0 -22◦10.0 223◦37.7 15◦40.5 308◦50.3 -18◦38.4 312◦57.7 -19◦32.410 274◦55.9 342◦09.1 -22◦09.6 238◦38.9 15◦40.9 323◦52.1 -18◦38.3 327◦59.8 -19◦32.311 289◦58.3 357◦08.2 -22◦09.2 253◦40.1 15◦41.3 338◦54.0 -18◦38.1 343◦02.0 -19◦32.312 305◦00.8 12◦07.3 -22◦08.8 268◦41.2 15◦41.8 353◦55.9 -18◦38.0 358◦04.1 -19◦32.213 320◦03.3 27◦06.4 -22◦08.4 283◦42.4 15◦42.2 8◦57.7 -18◦37.8 13◦06.3 -19◦32.114 335◦05.7 42◦05.5 -22◦08.0 298◦43.6 15◦42.7 23◦59.6 -18◦37.7 28◦08.4 -19◦32.115 350◦08.2 57◦04.6 -22◦07.6 313◦44.8 15◦43.1 39◦01.4 -18◦37.5 43◦10.6 -19◦32.016 5◦10.6 72◦03.7 -22◦07.3 328◦46.0 15◦43.5 54◦03.3 -18◦37.4 58◦12.8 -19◦31.917 20◦13.1 87◦02.8 -22◦06.9 343◦47.2 15◦44.0 69◦05.2 -18◦37.2 73◦14.9 -19◦31.918 35◦15.6 102◦01.9 -22◦06.5 358◦48.4 15◦44.4 84◦07.0 -18◦37.1 88◦17.1 -19◦31.819 50◦18.0 117◦01.0 -22◦06.1 13◦49.6 15◦44.9 99◦08.9 -18◦36.9 103◦19.2 -19◦31.720 65◦20.5 132◦00.1 -22◦05.7 28◦50.8 15◦45.3 114◦10.7 -18◦36.8 118◦21.4 -19◦31.621 80◦23.0 146◦59.2 -22◦05.3 43◦52.0 15◦45.7 129◦12.6 -18◦36.6 133◦23.5 -19◦31.622 95◦25.4 161◦58.3 -22◦04.9 58◦53.2 15◦46.2 144◦14.5 -18◦36.5 148◦25.7 -19◦31.523 110◦27.9 176◦57.5 -22◦04.5 73◦54.4 15◦46.6 159◦16.3 -18◦36.3 163◦27.9 -19◦31.4Mer.pass.:15:39 v-0.9 d0.4 m-3.8 v1.2 d0.4 m0.3 v1.9 d0.2 m-1.8 v2.2 d0.1 m0.6

Tue GHA GHA Dec GHA Dec GHA Dec GHA Dec0 125◦30.4 191◦56.6 -22◦04.1 88◦55.6 15◦47.1 174◦18.2 -18◦36.2 178◦30.0 -19◦31.41 140◦32.8 206◦55.7 -22◦03.7 103◦56.8 15◦47.5 189◦20.0 -18◦36.0 193◦32.2 -19◦31.32 155◦35.3 221◦54.8 -22◦03.3 118◦57.9 15◦47.9 204◦21.9 -18◦35.9 208◦34.3 -19◦31.23 170◦37.8 236◦53.9 -22◦02.9 133◦59.1 15◦48.4 219◦23.7 -18◦35.7 223◦36.5 -19◦31.24 185◦40.2 251◦53.0 -22◦02.5 149◦00.3 15◦48.8 234◦25.6 -18◦35.5 238◦38.6 -19◦31.15 200◦42.7 266◦52.1 -22◦02.1 164◦01.5 15◦49.3 249◦27.5 -18◦35.4 253◦40.8 -19◦31.06 215◦45.1 281◦51.2 -22◦01.7 179◦02.7 15◦49.7 264◦29.3 -18◦35.2 268◦43.0 -19◦31.07 230◦47.6 296◦50.3 -22◦01.3 194◦03.9 15◦50.1 279◦31.2 -18◦35.1 283◦45.1 -19◦30.98 245◦50.1 311◦49.4 -22◦00.9 209◦05.1 15◦50.6 294◦33.0 -18◦34.9 298◦47.3 -19◦30.89 260◦52.5 326◦48.6 -22◦00.4 224◦06.3 15◦51.0 309◦34.9 -18◦34.8 313◦49.4 -19◦30.810 275◦55.0 341◦47.7 -22◦00.0 239◦07.5 15◦51.5 324◦36.8 -18◦34.6 328◦51.6 -19◦30.711 290◦57.5 356◦46.8 -21◦59.6 254◦08.6 15◦51.9 339◦38.6 -18◦34.5 343◦53.7 -19◦30.612 305◦59.9 11◦45.9 -21◦59.2 269◦09.8 15◦52.3 354◦40.5 -18◦34.3 358◦55.9 -19◦30.613 321◦02.4 26◦45.0 -21◦58.8 284◦11.0 15◦52.8 9◦42.3 -18◦34.2 13◦58.0 -19◦30.514 336◦04.9 41◦44.1 -21◦58.4 299◦12.2 15◦53.2 24◦44.2 -18◦34.0 29◦00.2 -19◦30.415 351◦07.3 56◦43.2 -21◦58.0 314◦13.4 15◦53.6 39◦46.1 -18◦33.9 44◦02.4 -19◦30.316 6◦09.8 71◦42.4 -21◦57.5 329◦14.6 15◦54.1 54◦47.9 -18◦33.7 59◦04.5 -19◦30.317 21◦12.3 86◦41.5 -21◦57.1 344◦15.8 15◦54.5 69◦49.8 -18◦33.6 74◦06.7 -19◦30.218 36◦14.7 101◦40.6 -21◦56.7 359◦16.9 15◦55.0 84◦51.6 -18◦33.4 89◦08.8 -19◦30.119 51◦17.2 116◦39.7 -21◦56.3 14◦18.1 15◦55.4 99◦53.5 -18◦33.3 104◦11.0 -19◦30.120 66◦19.6 131◦38.8 -21◦55.9 29◦19.3 15◦55.8 114◦55.3 -18◦33.1 119◦13.1 -19◦30.021 81◦22.1 146◦37.9 -21◦55.4 44◦20.5 15◦56.3 129◦57.2 -18◦33.0 134◦15.3 -19◦29.922 96◦24.6 161◦37.0 -21◦55.0 59◦21.7 15◦56.7 144◦59.1 -18◦32.8 149◦17.5 -19◦29.923 111◦27.0 176◦36.2 -21◦54.6 74◦22.9 15◦57.2 160◦00.9 -18◦32.6 164◦19.6 -19◦29.8Mer.pass.:15:35 v-0.9 d0.4 m-3.8 v1.2 d0.4 m0.3 v1.9 d0.2 m-1.8 v2.2 d0.1 m0.6

Wed GHA GHA Dec GHA Dec GHA Dec GHA Dec0 126◦29.5 191◦35.3 -21◦54.2 89◦24.0 15◦57.6 175◦02.8 -18◦32.5 179◦21.8 -19◦29.71 141◦32.0 206◦34.4 -21◦53.7 104◦25.2 15◦58.0 190◦04.6 -18◦32.3 194◦23.9 -19◦29.72 156◦34.4 221◦33.5 -21◦53.3 119◦26.4 15◦58.5 205◦06.5 -18◦32.2 209◦26.1 -19◦29.63 171◦36.9 236◦32.6 -21◦52.9 134◦27.6 15◦58.9 220◦08.4 -18◦32.0 224◦28.2 -19◦29.54 186◦39.4 251◦31.8 -21◦52.4 149◦28.8 15◦59.3 235◦10.2 -18◦31.9 239◦30.4 -19◦29.55 201◦41.8 266◦30.9 -21◦52.0 164◦29.9 15◦59.8 250◦12.1 -18◦31.7 254◦32.6 -19◦29.46 216◦44.3 281◦30.0 -21◦51.6 179◦31.1 16◦00.2 265◦13.9 -18◦31.6 269◦34.7 -19◦29.37 231◦46.8 296◦29.1 -21◦51.1 194◦32.3 16◦00.7 280◦15.8 -18◦31.4 284◦36.9 -19◦29.38 246◦49.2 311◦28.2 -21◦50.7 209◦33.5 16◦01.1 295◦17.7 -18◦31.3 299◦39.0 -19◦29.29 261◦51.7 326◦27.3 -21◦50.3 224◦34.7 16◦01.5 310◦19.5 -18◦31.1 314◦41.2 -19◦29.110 276◦54.1 341◦26.5 -21◦49.8 239◦35.8 16◦02.0 325◦21.4 -18◦31.0 329◦43.3 -19◦29.011 291◦56.6 356◦25.6 -21◦49.4 254◦37.0 16◦02.4 340◦23.2 -18◦30.8 344◦45.5 -19◦29.012 306◦59.1 11◦24.7 -21◦48.9 269◦38.2 16◦02.8 355◦25.1 -18◦30.7 359◦47.7 -19◦28.913 322◦01.5 26◦23.8 -21◦48.5 284◦39.4 16◦03.3 10◦27.0 -18◦30.5 14◦49.8 -19◦28.814 337◦04.0 41◦23.0 -21◦48.0 299◦40.6 16◦03.7 25◦28.8 -18◦30.4 29◦52.0 -19◦28.815 352◦06.5 56◦22.1 -21◦47.6 314◦41.7 16◦04.2 40◦30.7 -18◦30.2 44◦54.1 -19◦28.716 7◦08.9 71◦21.2 -21◦47.2 329◦42.9 16◦04.6 55◦32.5 -18◦30.0 59◦56.3 -19◦28.617 22◦11.4 86◦20.3 -21◦46.7 344◦44.1 16◦05.0 70◦34.4 -18◦29.9 74◦58.4 -19◦28.618 37◦13.9 101◦19.4 -21◦46.3 359◦45.3 16◦05.5 85◦36.3 -18◦29.7 90◦00.6 -19◦28.519 52◦16.3 116◦18.6 -21◦45.8 14◦46.4 16◦05.9 100◦38.1 -18◦29.6 105◦02.8 -19◦28.420 67◦18.8 131◦17.7 -21◦45.4 29◦47.6 16◦06.3 115◦40.0 -18◦29.4 120◦04.9 -19◦28.421 82◦21.2 146◦16.8 -21◦44.9 44◦48.8 16◦06.8 130◦41.8 -18◦29.3 135◦07.1 -19◦28.322 97◦23.7 161◦15.9 -21◦44.5 59◦50.0 16◦07.2 145◦43.7 -18◦29.1 150◦09.2 -19◦28.223 112◦26.2 176◦15.1 -21◦44.0 74◦51.1 16◦07.7 160◦45.5 -18◦29.0 165◦11.4 -19◦28.2Mer.pass.:15:31 v-0.9 d0.4 m-3.8 v1.2 d0.4 m0.4 v1.9 d0.2 m-1.8 v2.2 d0.1 m0.6

StarsSHA Dec

Alpheratz 357◦38.2 29◦12.4Ankaa 353◦10.6 -42◦11.8

Schedar 349◦34.8 56◦39.3Diphda 348◦50.6 -17◦52.5

Achernar 335◦22.8 -57◦08.2Hamal 327◦54.8 23◦33.7Polaris 315◦23.5 89◦21.4Akamar 315◦14.2 -40◦13.6Menkar 314◦09.4 4◦10.2Mirfak 308◦32.6 49◦56.2

Aldebaran 290◦43.1 16◦33.0Rigel 281◦06.7 -8◦10.8

Capella 280◦26.3 46◦01.2Bellatrix 278◦26.1 6◦22.0Elnath 278◦05.6 28◦37.5Alnilam 275◦40.7 -1◦11.5

Betelgeuse 270◦55.3 7◦24.5Canopus 263◦53.3 -52◦42.6

Sirius 258◦28.6 -16◦44.7Adara 255◦08.0 -29◦00.2

Procyon 244◦53.8 5◦10.3Pollux 243◦20.8 27◦58.4Avior 234◦15.3 -59◦34.6Suhail 222◦48.2 -43◦31.0

Miaplacidus 221◦37.9 -69◦48.1Alphard 217◦50.6 -8◦45.0Regulus 207◦37.5 11◦51.8Dubhe 193◦44.5 61◦38.1

Denebola 182◦28.0 14◦27.2Gienah 175◦46.7 -17◦39.4Acrux 173◦03.2 -63◦12.6

Gacrux 171◦54.8 -57◦13.5Alioth 166◦15.7 55◦50.5Spica 158◦25.6 -11◦16.2Alcaid 152◦54.5 49◦12.3Hadar 148◦40.4 -60◦28.1

Menkent 148◦01.4 -36◦28.2Arcturus 145◦50.7 19◦04.6

Rigil Kent. 139◦44.7 -60◦54.9Zubenelg. 136◦59.6 -16◦07.6Kochab 137◦20.1 74◦03.9

Alphecca 126◦06.6 26◦38.5Antares 112◦19.9 -26◦28.6

Atria 107◦17.4 -69◦03.6Sabik 102◦06.7 -15◦45.0

Shaula 96◦15.0 -37◦07.0Rasalhague 96◦01.8 12◦32.7

Etamin 90◦44.1 51◦29.0Kaus Aust. 83◦37.1 -34◦22.4

Vega 80◦35.8 38◦48.0Nunki 75◦52.1 -26◦16.2Altair 62◦03.5 8◦55.3

Peacock 53◦11.4 -56◦40.1Deneb 49◦28.4 45◦21.3

Enif 33◦42.2 9◦58.2Alnair 27◦37.4 -46◦51.7

Fomalhaut 15◦18.4 -29◦30.9Scheat 13◦48.6 28◦11.8Markab 13◦33.3 15◦19.0

2021/1/2 SHA Mer.passVenus 67◦46.8 11:11Mars 323◦55.7 18:05

Jupiter 49◦02.3 12:24Saturn 53◦07.0 12:08

2021/1/2 SHA Mer.passVenus 66◦26.2 11:13Mars 323◦25.2 18:03

Jupiter 48◦47.8 12:21Saturn 52◦59.7 12:04

2021/1/2 SHA Mer.passVenus 65◦05.8 11:14Mars 322◦54.5 18:01

Jupiter 48◦33.3 12:18Saturn 52◦52.3 12:01

Horizontal paralaxVenus: 0.1Mars: 0.1

18

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2021 January 25 to Jan. 27

h Sun MoonMon GHA Dec GHA ν Dec d HP0 176◦56.2 -18◦57.6 45◦06.3 10.4 23◦11.0 5.0 55.21 191◦56.0 -18◦57.0 59◦35.7 10.3 23◦15.9 4.9 55.22 206◦55.9 -18◦56.3 74◦05.0 10.3 23◦20.7 4.8 55.23 221◦55.8 -18◦55.7 88◦34.3 10.2 23◦25.5 4.7 55.24 236◦55.6 -18◦55.1 103◦03.4 10.1 23◦30.1 4.5 55.35 251◦55.5 -18◦54.5 117◦32.5 10.1 23◦34.6 4.4 55.36 266◦55.3 -18◦53.9 132◦01.6 10.0 23◦38.9 4.3 55.37 281◦55.2 -18◦53.2 146◦30.6 9.9 23◦43.2 4.2 55.38 296◦55.1 -18◦52.6 160◦59.5 9.9 23◦47.3 4.1 55.49 311◦54.9 -18◦52.0 175◦28.3 9.8 23◦51.4 4.0 55.410 326◦54.8 -18◦51.4 189◦57.1 9.7 23◦55.3 3.8 55.411 341◦54.6 -18◦50.7 204◦25.8 9.7 23◦59.1 3.7 55.412 356◦54.5 -18◦50.1 218◦54.4 9.6 24◦02.7 3.6 55.513 11◦54.4 -18◦49.5 233◦23.0 9.6 24◦06.3 3.5 55.514 26◦54.2 -18◦48.9 247◦51.6 9.5 24◦09.7 3.4 55.515 41◦54.1 -18◦48.3 262◦20.0 9.4 24◦13.0 3.2 55.516 56◦53.9 -18◦47.6 276◦48.4 9.4 24◦16.2 3.1 55.517 71◦53.8 -18◦47.0 291◦16.8 9.3 24◦19.2 3.0 55.618 86◦53.7 -18◦46.4 305◦45.0 9.3 24◦22.2 2.9 55.619 101◦53.5 -18◦45.7 320◦13.3 9.2 24◦25.0 2.7 55.620 116◦53.4 -18◦45.1 334◦41.4 9.1 24◦27.7 2.6 55.621 131◦53.3 -18◦44.5 349◦09.5 9.1 24◦30.2 2.5 55.722 146◦53.1 -18◦43.9 3◦37.6 9.0 24◦32.6 2.4 55.723 161◦53.0 -18◦43.2 18◦05.6 9.0 24◦34.9 2.2 55.7

SD.=16.2 d=0.6 S.D.=15.1

Tue GHA Dec GHA ν Dec d HP0 176◦52.9 -18◦42.6 32◦33.5 8.9 24◦37.1 2.1 55.71 191◦52.7 -18◦42.0 47◦01.4 8.9 24◦39.1 2.0 55.82 206◦52.6 -18◦41.3 61◦29.3 8.8 24◦41.0 1.8 55.83 221◦52.5 -18◦40.7 75◦57.1 8.8 24◦42.8 1.7 55.84 236◦52.3 -18◦40.1 90◦24.8 8.7 24◦44.5 1.6 55.85 251◦52.2 -18◦39.4 104◦52.5 8.7 24◦46.0 1.4 55.96 266◦52.1 -18◦38.8 119◦20.1 8.6 24◦47.3 1.3 55.97 281◦51.9 -18◦38.2 133◦47.7 8.6 24◦48.6 1.2 55.98 296◦51.8 -18◦37.5 148◦15.3 8.5 24◦49.7 1.0 55.99 311◦51.7 -18◦36.9 162◦42.8 8.5 24◦50.7 0.9 56.010 326◦51.5 -18◦36.3 177◦10.2 8.4 24◦51.5 0.8 56.011 341◦51.4 -18◦35.6 191◦37.7 8.4 24◦52.2 0.6 56.012 356◦51.3 -18◦35.0 206◦05.1 8.4 24◦52.8 0.5 56.013 11◦51.1 -18◦34.3 220◦32.4 8.3 24◦53.2 0.4 56.114 26◦51.0 -18◦33.7 234◦59.7 8.3 24◦53.5 0.2 56.115 41◦50.9 -18◦33.1 249◦27.0 8.2 24◦53.7 0.1 56.116 56◦50.8 -18◦32.4 263◦54.2 8.2 24◦53.7 -0.0 56.117 71◦50.6 -18◦31.8 278◦21.4 8.2 24◦53.6 -0.2 56.218 86◦50.5 -18◦31.1 292◦48.6 8.1 24◦53.3 -0.3 56.219 101◦50.4 -18◦30.5 307◦15.7 8.1 24◦52.9 -0.5 56.220 116◦50.2 -18◦29.9 321◦42.8 8.1 24◦52.4 -0.6 56.221 131◦50.1 -18◦29.2 336◦09.9 8.1 24◦51.7 -0.7 56.322 146◦50.0 -18◦28.6 350◦36.9 8.0 24◦50.9 -0.9 56.323 161◦49.9 -18◦27.9 5◦03.9 8.0 24◦50.0 -1.0 56.3

SD.=16.2 d=0.6 S.D.=15.2

Wed GHA Dec GHA ν Dec d HP0 176◦49.7 -18◦27.3 19◦30.9 8.0 24◦48.9 -1.2 56.41 191◦49.6 -18◦26.6 33◦57.9 8.0 24◦47.6 -1.3 56.42 206◦49.5 -18◦26.0 48◦24.8 7.9 24◦46.2 -1.4 56.43 221◦49.4 -18◦25.3 62◦51.8 7.9 24◦44.7 -1.6 56.44 236◦49.2 -18◦24.7 77◦18.7 7.9 24◦43.1 -1.7 56.55 251◦49.1 -18◦24.1 91◦45.5 7.9 24◦41.3 -1.9 56.56 266◦49.0 -18◦23.4 106◦12.4 7.9 24◦39.3 -2.0 56.57 281◦48.9 -18◦22.8 120◦39.3 7.8 24◦37.2 -2.2 56.58 296◦48.7 -18◦22.1 135◦06.1 7.8 24◦35.0 -2.3 56.69 311◦48.6 -18◦21.5 149◦32.9 7.8 24◦32.6 -2.4 56.610 326◦48.5 -18◦20.8 163◦59.7 7.8 24◦30.1 -2.6 56.611 341◦48.4 -18◦20.2 178◦26.5 7.8 24◦27.4 -2.7 56.612 356◦48.2 -18◦19.5 192◦53.3 7.8 24◦24.6 -2.9 56.713 11◦48.1 -18◦18.9 207◦20.1 7.8 24◦21.7 -3.0 56.714 26◦48.0 -18◦18.2 221◦46.9 7.8 24◦18.6 -3.2 56.715 41◦47.9 -18◦17.5 236◦13.7 7.8 24◦15.4 -3.3 56.716 56◦47.8 -18◦16.9 250◦40.5 7.8 24◦12.0 -3.4 56.817 71◦47.6 -18◦16.2 265◦07.2 7.8 24◦08.5 -3.6 56.818 86◦47.5 -18◦15.6 279◦34.0 7.8 24◦04.9 -3.7 56.819 101◦47.4 -18◦14.9 294◦00.8 7.8 24◦01.1 -3.9 56.920 116◦47.3 -18◦14.3 308◦27.5 7.8 23◦57.1 -4.0 56.921 131◦47.2 -18◦13.6 322◦54.3 7.8 23◦53.0 -4.2 56.922 146◦47.0 -18◦13.0 337◦21.1 7.8 23◦48.8 -4.3 56.923 161◦46.9 -18◦12.3 351◦47.9 7.8 23◦44.5 -4.4 57.0

SD.=16.2 d=0.6 S.D.=15.4

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 07:29 09:04 11:33 12:53 15:22 16:5770 07:19 08:41 10:19 14:07 15:45 17:0868 07:10 08:23 09:42 14:44 16:03 17:1666 07:03 08:09 09:16 15:10 16:17 17:2364 06:57 07:57 08:56 15:30 16:29 17:3062 06:51 07:47 08:40 15:46 16:39 17:3560 06:46 07:38 08:27 15:59 16:48 17:4058 06:41 07:30 08:15 16:11 16:56 17:4456 06:37 07:23 08:05 16:21 17:03 17:4954 06:33 07:17 07:56 16:29 17:09 17:5252 06:30 07:11 07:48 16:37 17:15 17:5650 06:26 07:06 07:41 16:44 17:20 17:5945 06:19 06:54 07:26 16:60 17:31 18:0740 06:12 06:45 07:14 17:12 17:41 18:1435 06:05 06:36 07:03 17:23 17:50 18:2030 05:59 06:28 06:53 17:32 17:57 18:2620 05:47 06:14 06:37 17:48 18:12 18:3810 05:35 06:00 06:23 18:03 18:25 18:500 05:22 05:47 06:09 18:16 18:38 19:03-10 05:07 05:33 05:55 18:30 18:52 19:18-20 04:49 05:17 05:41 18:44 19:08 19:36-30 04:26 04:57 05:23 19:01 19:27 19:59-35 04:11 04:45 05:13 19:11 19:39 20:13-40 03:54 04:31 05:02 19:23 19:53 20:31-45 03:31 04:14 04:48 19:36 20:10 20:53-50 03:00 03:52 04:32 19:53 20:32 21:23-52 02:44 03:42 04:24 20:00 20:42 21:39-54 02:24 03:29 04:15 20:09 20:54 21:58-56 01:59 03:15 04:05 20:19 21:08 22:23-58 01:21 02:58 03:54 20:30 21:25 22:58-60 –:– 02:38 03:40 20:43 21:45 –:–

Moonrise MoonsetLat. Mon Tue Wed Mon Tue Wed72 –:– –:– –:– –:– –:– –:–70 –:– –:– –:– –:– –:– –:–68 –:– –:– –:– –:– –:– –:–66 09:51 –:– –:– 08:41 –:– –:–64 11:02 11:30 12:40 07:31 08:52 09:3762 11:38 12:15 13:20 06:55 08:07 08:5660 12:03 12:45 13:48 06:29 07:38 08:2858 12:24 13:08 14:10 06:09 07:15 08:0756 12:41 13:26 14:27 05:52 06:57 07:4954 12:55 13:42 14:42 05:38 06:41 07:3452 13:08 13:55 14:55 05:26 06:28 07:2150 13:19 14:07 15:06 05:15 06:16 07:0945 13:42 14:31 15:30 04:52 05:52 06:4540 14:01 14:51 15:49 04:34 05:32 06:2635 14:16 15:07 16:05 04:19 05:16 06:1030 14:30 15:21 16:19 04:06 05:02 05:5620 14:53 15:45 16:42 03:43 04:38 05:3210 15:13 16:06 17:02 03:24 04:17 05:110 15:32 16:26 17:21 03:05 03:58 04:52-10 15:51 16:45 17:40 02:47 03:38 04:33-20 16:11 17:06 17:60 02:28 03:18 04:12-30 16:35 17:30 18:23 02:06 02:54 03:48-35 16:49 17:45 18:37 01:53 02:40 03:34-40 17:05 18:01 18:52 01:37 02:23 03:17-45 17:24 18:21 19:11 01:20 02:04 02:58-50 17:48 18:46 19:34 00:57 01:40 02:33-52 17:60 18:58 19:45 00:47 01:28 02:21-54 18:13 19:11 19:58 00:35 01:15 02:08-56 18:28 19:27 20:13 00:21 00:59 01:52-58 18:46 19:46 20:30 00:06 00:41 01:33-60 19:08 20:09 20:50 –:– 00:19 01:10

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower25 12:15 12:22 12:12 21:44 09:18 12(89%)26 12:29 12:35 12:12 22:38 10:11 13(94%)27 12:41 12:47 12:12 23:34 11:06 14(98%)

19

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January 28, 29 ,30 (Thu., Fri., Sat.)Aries Venus Mars Jupiter Saturn

Thu GHA GHA Dec GHA Dec GHA Dec GHA Dec0 127◦28.6 191◦14.2 -21◦43.5 89◦52.3 16◦08.1 175◦47.4 -18◦28.8 180◦13.5 -19◦28.11 142◦31.1 206◦13.3 -21◦43.1 104◦53.5 16◦08.5 190◦49.3 -18◦28.7 195◦15.7 -19◦28.02 157◦33.6 221◦12.4 -21◦42.6 119◦54.7 16◦09.0 205◦51.1 -18◦28.5 210◦17.9 -19◦27.93 172◦36.0 236◦11.6 -21◦42.2 134◦55.8 16◦09.4 220◦53.0 -18◦28.4 225◦20.0 -19◦27.94 187◦38.5 251◦10.7 -21◦41.7 149◦57.0 16◦09.8 235◦54.8 -18◦28.2 240◦22.2 -19◦27.85 202◦41.0 266◦09.8 -21◦41.3 164◦58.2 16◦10.3 250◦56.7 -18◦28.0 255◦24.3 -19◦27.76 217◦43.4 281◦09.0 -21◦40.8 179◦59.4 16◦10.7 265◦58.6 -18◦27.9 270◦26.5 -19◦27.77 232◦45.9 296◦08.1 -21◦40.3 195◦00.5 16◦11.1 281◦00.4 -18◦27.7 285◦28.6 -19◦27.68 247◦48.4 311◦07.2 -21◦39.9 210◦01.7 16◦11.6 296◦02.3 -18◦27.6 300◦30.8 -19◦27.59 262◦50.8 326◦06.3 -21◦39.4 225◦02.9 16◦12.0 311◦04.1 -18◦27.4 315◦33.0 -19◦27.510 277◦53.3 341◦05.5 -21◦38.9 240◦04.0 16◦12.5 326◦06.0 -18◦27.3 330◦35.1 -19◦27.411 292◦55.7 356◦04.6 -21◦38.5 255◦05.2 16◦12.9 341◦07.9 -18◦27.1 345◦37.3 -19◦27.312 307◦58.2 11◦03.7 -21◦38.0 270◦06.4 16◦13.3 356◦09.7 -18◦27.0 0◦39.4 -19◦27.313 323◦00.7 26◦02.9 -21◦37.5 285◦07.6 16◦13.8 11◦11.6 -18◦26.8 15◦41.6 -19◦27.214 338◦03.1 41◦02.0 -21◦37.1 300◦08.7 16◦14.2 26◦13.4 -18◦26.7 30◦43.7 -19◦27.115 353◦05.6 56◦01.1 -21◦36.6 315◦09.9 16◦14.6 41◦15.3 -18◦26.5 45◦45.9 -19◦27.116 8◦08.1 71◦00.3 -21◦36.1 330◦11.1 16◦15.1 56◦17.2 -18◦26.4 60◦48.1 -19◦27.017 23◦10.5 85◦59.4 -21◦35.6 345◦12.2 16◦15.5 71◦19.0 -18◦26.2 75◦50.2 -19◦26.918 38◦13.0 100◦58.5 -21◦35.2 0◦13.4 16◦15.9 86◦20.9 -18◦26.0 90◦52.4 -19◦26.919 53◦15.5 115◦57.7 -21◦34.7 15◦14.6 16◦16.4 101◦22.7 -18◦25.9 105◦54.5 -19◦26.820 68◦17.9 130◦56.8 -21◦34.2 30◦15.7 16◦16.8 116◦24.6 -18◦25.7 120◦56.7 -19◦26.721 83◦20.4 145◦55.9 -21◦33.7 45◦16.9 16◦17.2 131◦26.5 -18◦25.6 135◦58.8 -19◦26.622 98◦22.9 160◦55.1 -21◦33.3 60◦18.1 16◦17.7 146◦28.3 -18◦25.4 151◦01.0 -19◦26.623 113◦25.3 175◦54.2 -21◦32.8 75◦19.2 16◦18.1 161◦30.2 -18◦25.3 166◦03.2 -19◦26.5Mer.pass.:15:27 v-0.9 d0.5 m-3.8 v1.2 d0.4 m0.4 v1.9 d0.2 m-1.8 v2.2 d0.1 m0.6

Fri GHA GHA Dec GHA Dec GHA Dec GHA Dec0 128◦27.8 190◦53.3 -21◦32.3 90◦20.4 16◦18.5 176◦32.0 -18◦25.1 181◦05.3 -19◦26.41 143◦30.2 205◦52.5 -21◦31.8 105◦21.6 16◦19.0 191◦33.9 -18◦25.0 196◦07.5 -19◦26.42 158◦32.7 220◦51.6 -21◦31.3 120◦22.7 16◦19.4 206◦35.8 -18◦24.8 211◦09.6 -19◦26.33 173◦35.2 235◦50.7 -21◦30.8 135◦23.9 16◦19.9 221◦37.6 -18◦24.7 226◦11.8 -19◦26.24 188◦37.6 250◦49.9 -21◦30.3 150◦25.1 16◦20.3 236◦39.5 -18◦24.5 241◦14.0 -19◦26.25 203◦40.1 265◦49.0 -21◦29.9 165◦26.2 16◦20.7 251◦41.3 -18◦24.4 256◦16.1 -19◦26.16 218◦42.6 280◦48.1 -21◦29.4 180◦27.4 16◦21.2 266◦43.2 -18◦24.2 271◦18.3 -19◦26.07 233◦45.0 295◦47.3 -21◦28.9 195◦28.6 16◦21.6 281◦45.1 -18◦24.0 286◦20.4 -19◦26.08 248◦47.5 310◦46.4 -21◦28.4 210◦29.7 16◦22.0 296◦46.9 -18◦23.9 301◦22.6 -19◦25.99 263◦50.0 325◦45.6 -21◦27.9 225◦30.9 16◦22.5 311◦48.8 -18◦23.7 316◦24.7 -19◦25.810 278◦52.4 340◦44.7 -21◦27.4 240◦32.1 16◦22.9 326◦50.6 -18◦23.6 331◦26.9 -19◦25.811 293◦54.9 355◦43.8 -21◦26.9 255◦33.2 16◦23.3 341◦52.5 -18◦23.4 346◦29.1 -19◦25.712 308◦57.4 10◦43.0 -21◦26.4 270◦34.4 16◦23.8 356◦54.4 -18◦23.3 1◦31.2 -19◦25.613 323◦59.8 25◦42.1 -21◦25.9 285◦35.5 16◦24.2 11◦56.2 -18◦23.1 16◦33.4 -19◦25.514 339◦02.3 40◦41.2 -21◦25.4 300◦36.7 16◦24.6 26◦58.1 -18◦23.0 31◦35.5 -19◦25.515 354◦04.7 55◦40.4 -21◦24.9 315◦37.9 16◦25.1 41◦59.9 -18◦22.8 46◦37.7 -19◦25.416 9◦07.2 70◦39.5 -21◦24.4 330◦39.0 16◦25.5 57◦01.8 -18◦22.6 61◦39.8 -19◦25.317 24◦09.7 85◦38.7 -21◦23.9 345◦40.2 16◦25.9 72◦03.7 -18◦22.5 76◦42.0 -19◦25.318 39◦12.1 100◦37.8 -21◦23.4 0◦41.3 16◦26.4 87◦05.5 -18◦22.3 91◦44.2 -19◦25.219 54◦14.6 115◦37.0 -21◦22.9 15◦42.5 16◦26.8 102◦07.4 -18◦22.2 106◦46.3 -19◦25.120 69◦17.1 130◦36.1 -21◦22.4 30◦43.7 16◦27.2 117◦09.2 -18◦22.0 121◦48.5 -19◦25.121 84◦19.5 145◦35.2 -21◦21.9 45◦44.8 16◦27.7 132◦11.1 -18◦21.9 136◦50.6 -19◦25.022 99◦22.0 160◦34.4 -21◦21.4 60◦46.0 16◦28.1 147◦13.0 -18◦21.7 151◦52.8 -19◦24.923 114◦24.5 175◦33.5 -21◦20.9 75◦47.1 16◦28.5 162◦14.8 -18◦21.6 166◦54.9 -19◦24.9Mer.pass.:15:23 v-0.9 d0.5 m-3.8 v1.2 d0.4 m0.4 v1.9 d0.2 m-1.8 v2.2 d0.1 m0.6

Sat GHA GHA Dec GHA Dec GHA Dec GHA Dec0 129◦26.9 190◦32.7 -21◦20.4 90◦48.3 16◦29.0 177◦16.7 -18◦21.4 181◦57.1 -19◦24.81 144◦29.4 205◦31.8 -21◦19.9 105◦49.5 16◦29.4 192◦18.5 -18◦21.3 196◦59.3 -19◦24.72 159◦31.8 220◦31.0 -21◦19.4 120◦50.6 16◦29.8 207◦20.4 -18◦21.1 212◦01.4 -19◦24.63 174◦34.3 235◦30.1 -21◦18.8 135◦51.8 16◦30.3 222◦22.3 -18◦20.9 227◦03.6 -19◦24.64 189◦36.8 250◦29.2 -21◦18.3 150◦52.9 16◦30.7 237◦24.1 -18◦20.8 242◦05.7 -19◦24.55 204◦39.2 265◦28.4 -21◦17.8 165◦54.1 16◦31.1 252◦26.0 -18◦20.6 257◦07.9 -19◦24.46 219◦41.7 280◦27.5 -21◦17.3 180◦55.2 16◦31.6 267◦27.8 -18◦20.5 272◦10.1 -19◦24.47 234◦44.2 295◦26.7 -21◦16.8 195◦56.4 16◦32.0 282◦29.7 -18◦20.3 287◦12.2 -19◦24.38 249◦46.6 310◦25.8 -21◦16.3 210◦57.6 16◦32.4 297◦31.6 -18◦20.2 302◦14.4 -19◦24.29 264◦49.1 325◦25.0 -21◦15.8 225◦58.7 16◦32.9 312◦33.4 -18◦20.0 317◦16.5 -19◦24.210 279◦51.6 340◦24.1 -21◦15.2 240◦59.9 16◦33.3 327◦35.3 -18◦19.9 332◦18.7 -19◦24.111 294◦54.0 355◦23.3 -21◦14.7 256◦01.0 16◦33.7 342◦37.1 -18◦19.7 347◦20.8 -19◦24.012 309◦56.5 10◦22.4 -21◦14.2 271◦02.2 16◦34.1 357◦39.0 -18◦19.5 2◦23.0 -19◦24.013 324◦59.0 25◦21.6 -21◦13.7 286◦03.3 16◦34.6 12◦40.9 -18◦19.4 17◦25.2 -19◦23.914 340◦01.4 40◦20.7 -21◦13.1 301◦04.5 16◦35.0 27◦42.7 -18◦19.2 32◦27.3 -19◦23.815 355◦03.9 55◦19.9 -21◦12.6 316◦05.6 16◦35.4 42◦44.6 -18◦19.1 47◦29.5 -19◦23.816 10◦06.3 70◦19.0 -21◦12.1 331◦06.8 16◦35.9 57◦46.4 -18◦18.9 62◦31.6 -19◦23.717 25◦08.8 85◦18.2 -21◦11.6 346◦07.9 16◦36.3 72◦48.3 -18◦18.8 77◦33.8 -19◦23.618 40◦11.3 100◦17.3 -21◦11.0 1◦09.1 16◦36.7 87◦50.2 -18◦18.6 92◦35.9 -19◦23.519 55◦13.7 115◦16.5 -21◦10.5 16◦10.2 16◦37.2 102◦52.0 -18◦18.5 107◦38.1 -19◦23.520 70◦16.2 130◦15.6 -21◦10.0 31◦11.4 16◦37.6 117◦53.9 -18◦18.3 122◦40.3 -19◦23.421 85◦18.7 145◦14.8 -21◦09.4 46◦12.6 16◦38.0 132◦55.7 -18◦18.1 137◦42.4 -19◦23.322 100◦21.1 160◦13.9 -21◦08.9 61◦13.7 16◦38.5 147◦57.6 -18◦18.0 152◦44.6 -19◦23.323 115◦23.6 175◦13.1 -21◦08.4 76◦14.9 16◦38.9 162◦59.5 -18◦17.8 167◦46.7 -19◦23.2Mer.pass.:15:19 v-0.9 d0.5 m-3.8 v1.2 d0.4 m0.4 v1.9 d0.2 m-1.8 v2.2 d0.1 m0.6

StarsSHA Dec

Alpheratz 357◦38.3 29◦12.4Ankaa 353◦10.6 -42◦11.8

Schedar 349◦34.8 56◦39.3Diphda 348◦50.6 -17◦52.5

Achernar 335◦22.8 -57◦08.2Hamal 327◦54.8 23◦33.7Polaris 315◦24.9 89◦21.4Akamar 315◦14.2 -40◦13.6Menkar 314◦09.4 4◦10.2Mirfak 308◦32.6 49◦56.2

Aldebaran 290◦43.1 16◦33.0Rigel 281◦06.7 -8◦10.8

Capella 280◦26.3 46◦01.2Bellatrix 278◦26.1 6◦22.0Elnath 278◦05.6 28◦37.5Alnilam 275◦40.7 -1◦11.5

Betelgeuse 270◦55.3 7◦24.5Canopus 263◦53.3 -52◦42.6

Sirius 258◦28.6 -16◦44.7Adara 255◦08.0 -29◦00.2

Procyon 244◦53.8 5◦10.3Pollux 243◦20.7 27◦58.5Avior 234◦15.3 -59◦34.6Suhail 222◦48.1 -43◦31.0

Miaplacidus 221◦37.9 -69◦48.1Alphard 217◦50.5 -8◦45.0Regulus 207◦37.5 11◦51.8Dubhe 193◦44.5 61◦38.1

Denebola 182◦27.9 14◦27.2Gienah 175◦46.6 -17◦39.4Acrux 173◦03.2 -63◦12.6

Gacrux 171◦54.8 -57◦13.6Alioth 166◦15.7 55◦50.5Spica 158◦25.6 -11◦16.2Alcaid 152◦54.5 49◦12.3Hadar 148◦40.4 -60◦28.1

Menkent 148◦01.3 -36◦28.2Arcturus 145◦50.7 19◦04.6

Rigil Kent. 139◦44.6 -60◦55.0Zubenelg. 136◦59.6 -16◦07.6Kochab 137◦20.1 74◦03.9

Alphecca 126◦06.6 26◦38.5Antares 112◦19.9 -26◦28.6

Atria 107◦17.3 -69◦03.6Sabik 102◦06.7 -15◦45.0

Shaula 96◦15.0 -37◦07.0Rasalhague 96◦01.8 12◦32.6

Etamin 90◦44.1 51◦29.0Kaus Aust. 83◦37.1 -34◦22.4

Vega 80◦35.8 38◦48.0Nunki 75◦52.1 -26◦16.2Altair 62◦03.5 8◦55.3

Peacock 53◦11.4 -56◦40.1Deneb 49◦28.4 45◦21.3

Enif 33◦42.2 9◦58.2Alnair 27◦37.4 -46◦51.7

Fomalhaut 15◦18.4 -29◦30.9Scheat 13◦48.6 28◦11.8Markab 13◦33.3 15◦19.0

2021/1/2 SHA Mer.passVenus 63◦45.6 11:16Mars 322◦23.7 17:59

Jupiter 48◦18.8 12:15Saturn 52◦44.9 11:57

2021/1/2 SHA Mer.passVenus 62◦25.5 11:17Mars 321◦52.6 17:57

Jupiter 48◦04.3 12:12Saturn 52◦37.5 11:54

2021/1/3 SHA Mer.passVenus 61◦05.7 11:18Mars 321◦21.4 17:55

Jupiter 47◦49.8 12:09Saturn 52◦30.2 11:50

Horizontal paralaxVenus: 0.1Mars: 0.1

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2021 January 28 to Jan. 30

h Sun MoonThu GHA Dec GHA ν Dec d HP0 176◦46.8 -18◦11.6 6◦14.6 7.8 23◦40.0 -4.6 57.01 191◦46.7 -18◦11.0 20◦41.4 7.8 23◦35.3 -4.7 57.02 206◦46.6 -18◦10.3 35◦08.3 7.8 23◦30.5 -4.9 57.03 221◦46.5 -18◦09.7 49◦35.1 7.8 23◦25.6 -5.0 57.14 236◦46.3 -18◦09.0 64◦01.9 7.8 23◦20.5 -5.1 57.15 251◦46.2 -18◦08.3 78◦28.7 7.9 23◦15.3 -5.3 57.16 266◦46.1 -18◦07.7 92◦55.6 7.9 23◦10.0 -5.4 57.17 281◦46.0 -18◦07.0 107◦22.5 7.9 23◦04.5 -5.6 57.28 296◦45.9 -18◦06.4 121◦49.4 7.9 22◦58.9 -5.7 57.29 311◦45.8 -18◦05.7 136◦16.3 7.9 22◦53.1 -5.8 57.210 326◦45.7 -18◦05.0 150◦43.2 7.9 22◦47.2 -6.0 57.211 341◦45.5 -18◦04.4 165◦10.1 8.0 22◦41.2 -6.1 57.312 356◦45.4 -18◦03.7 179◦37.1 8.0 22◦35.0 -6.2 57.313 11◦45.3 -18◦03.0 194◦04.1 8.0 22◦28.7 -6.4 57.314 26◦45.2 -18◦02.4 208◦31.1 8.0 22◦22.3 -6.5 57.315 41◦45.1 -18◦01.7 222◦58.1 8.0 22◦15.7 -6.6 57.416 56◦45.0 -18◦01.0 237◦25.2 8.1 22◦09.0 -6.8 57.417 71◦44.9 -18◦00.4 251◦52.3 8.1 22◦02.2 -6.9 57.418 86◦44.8 -17◦59.7 266◦19.4 8.1 21◦55.2 -7.0 57.419 101◦44.6 -17◦59.0 280◦46.6 8.2 21◦48.1 -7.2 57.520 116◦44.5 -17◦58.4 295◦13.7 8.2 21◦40.9 -7.3 57.521 131◦44.4 -17◦57.7 309◦40.9 8.2 21◦33.5 -7.4 57.522 146◦44.3 -17◦57.0 324◦08.2 8.2 21◦26.0 -7.6 57.523 161◦44.2 -17◦56.3 338◦35.4 8.3 21◦18.4 -7.7 57.6

SD.=16.2 d=0.7 S.D.=15.5

Fri GHA Dec GHA ν Dec d HP0 176◦44.1 -17◦55.7 353◦02.7 8.3 21◦10.6 -7.8 57.61 191◦44.0 -17◦55.0 7◦30.1 8.3 21◦02.7 -7.9 57.62 206◦43.9 -17◦54.3 21◦57.4 8.4 20◦54.7 -8.1 57.63 221◦43.8 -17◦53.7 36◦24.8 8.4 20◦46.6 -8.2 57.74 236◦43.7 -17◦53.0 50◦52.2 8.5 20◦38.3 -8.3 57.75 251◦43.5 -17◦52.3 65◦19.7 8.5 20◦29.9 -8.4 57.76 266◦43.4 -17◦51.6 79◦47.2 8.5 20◦21.4 -8.6 57.77 281◦43.3 -17◦51.0 94◦14.8 8.6 20◦12.8 -8.7 57.88 296◦43.2 -17◦50.3 108◦42.3 8.6 20◦04.0 -8.8 57.89 311◦43.1 -17◦49.6 123◦10.0 8.6 19◦55.1 -8.9 57.810 326◦43.0 -17◦48.9 137◦37.6 8.7 19◦46.2 -9.1 57.811 341◦42.9 -17◦48.2 152◦05.3 8.7 19◦37.0 -9.2 57.812 356◦42.8 -17◦47.6 166◦33.1 8.8 19◦27.8 -9.3 57.913 11◦42.7 -17◦46.9 181◦00.8 8.8 19◦18.4 -9.4 57.914 26◦42.6 -17◦46.2 195◦28.7 8.8 19◦09.0 -9.5 57.915 41◦42.5 -17◦45.5 209◦56.5 8.9 18◦59.4 -9.6 57.916 56◦42.4 -17◦44.8 224◦24.4 8.9 18◦49.7 -9.8 58.017 71◦42.3 -17◦44.2 238◦52.4 9.0 18◦39.9 -9.9 58.018 86◦42.2 -17◦43.5 253◦20.4 9.0 18◦30.0 -10.0 58.019 101◦42.1 -17◦42.8 267◦48.4 9.1 18◦19.9 -10.1 58.020 116◦42.0 -17◦42.1 282◦16.5 9.1 18◦09.8 -10.2 58.021 131◦41.9 -17◦41.4 296◦44.6 9.1 17◦59.5 -10.3 58.122 146◦41.8 -17◦40.8 311◦12.7 9.2 17◦49.2 -10.4 58.123 161◦41.7 -17◦40.1 325◦40.9 9.2 17◦38.7 -10.5 58.1

SD.=16.2 d=0.7 S.D.=15.7

Sat GHA Dec GHA ν Dec d HP0 176◦41.6 -17◦39.4 340◦09.2 9.3 17◦28.1 -10.6 58.11 191◦41.5 -17◦38.7 354◦37.5 9.3 17◦17.4 -10.7 58.12 206◦41.4 -17◦38.0 9◦05.8 9.4 17◦06.6 -10.8 58.23 221◦41.3 -17◦37.3 23◦34.2 9.4 16◦55.8 -10.9 58.24 236◦41.2 -17◦36.6 38◦02.6 9.4 16◦44.8 -11.0 58.25 251◦41.1 -17◦35.9 52◦31.1 9.5 16◦33.7 -11.1 58.26 266◦41.0 -17◦35.3 66◦59.6 9.5 16◦22.5 -11.2 58.27 281◦40.9 -17◦34.6 81◦28.2 9.6 16◦11.2 -11.3 58.38 296◦40.8 -17◦33.9 95◦56.8 9.6 15◦59.8 -11.4 58.39 311◦40.7 -17◦33.2 110◦25.4 9.7 15◦48.3 -11.5 58.310 326◦40.6 -17◦32.5 124◦54.1 9.7 15◦36.8 -11.6 58.311 341◦40.5 -17◦31.8 139◦22.8 9.8 15◦25.1 -11.7 58.312 356◦40.4 -17◦31.1 153◦51.6 9.8 15◦13.3 -11.8 58.413 11◦40.3 -17◦30.4 168◦20.5 9.8 15◦01.5 -11.9 58.414 26◦40.2 -17◦29.7 182◦49.3 9.9 14◦49.6 -12.0 58.415 41◦40.1 -17◦29.0 197◦18.2 9.9 14◦37.5 -12.1 58.416 56◦40.0 -17◦28.3 211◦47.2 10.0 14◦25.4 -12.2 58.417 71◦39.9 -17◦27.7 226◦16.2 10.0 14◦13.2 -12.2 58.418 86◦39.8 -17◦27.0 240◦45.2 10.1 14◦00.9 -12.3 58.519 101◦39.7 -17◦26.3 255◦14.3 10.1 13◦48.6 -12.4 58.520 116◦39.6 -17◦25.6 269◦43.4 10.1 13◦36.1 -12.5 58.521 131◦39.5 -17◦24.9 284◦12.6 10.2 13◦23.6 -12.6 58.522 146◦39.4 -17◦24.2 298◦41.8 10.2 13◦11.0 -12.6 58.523 161◦39.4 -17◦23.5 313◦11.0 10.3 12◦58.3 -12.7 58.5

SD.=16.2 d=0.7 S.D.=15.9

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 07:19 08:51 10:53 13:35 15:37 17:0970 07:10 08:30 10:01 14:26 15:57 17:1868 07:03 08:14 09:29 14:58 16:13 17:2566 06:56 08:01 09:06 15:21 16:26 17:3164 06:50 07:50 08:48 15:39 16:37 17:3762 06:45 07:40 08:33 15:54 16:47 17:4260 06:41 07:32 08:20 16:07 16:55 17:4658 06:37 07:25 08:09 16:18 17:02 17:5056 06:33 07:18 08:00 16:27 17:09 17:5454 06:30 07:13 07:52 16:35 17:14 17:5752 06:26 07:07 07:44 16:43 17:20 18:0150 06:23 07:02 07:37 16:49 17:25 18:0445 06:16 06:52 07:23 17:04 17:35 18:1140 06:10 06:42 07:11 17:16 17:44 18:1735 06:04 06:34 07:01 17:26 17:53 18:2330 05:58 06:27 06:52 17:35 17:60 18:2920 05:47 06:13 06:36 17:50 18:13 18:4010 05:35 06:01 06:23 18:04 18:26 18:510 05:23 05:48 06:10 18:17 18:38 19:04-10 05:08 05:34 05:57 18:30 18:52 19:18-20 04:51 05:19 05:42 18:44 19:07 19:35-30 04:29 05:00 05:26 18:60 19:26 19:57-35 04:15 04:49 05:17 19:09 19:37 20:11-40 03:58 04:35 05:06 19:20 19:50 20:27-45 03:36 04:19 04:53 19:33 20:06 20:49-50 03:07 03:58 04:37 19:49 20:27 21:17-52 02:52 03:48 04:29 19:56 20:37 21:32-54 02:34 03:37 04:21 20:04 20:48 21:50-56 02:11 03:23 04:12 20:13 21:01 22:12-58 01:40 03:08 04:01 20:24 21:17 22:42-60 00:30 02:48 03:49 20:36 21:35 23:37

Moonrise MoonsetLat. Thu Fri Sat Thu Fri Sat72 –:– –:– 16:30 –:– –:– 11:3070 –:– 14:15 17:01 –:– 11:53 10:5768 –:– 15:10 17:23 –:– 10:56 10:3366 13:37 15:43 17:41 10:35 10:22 10:1464 14:19 16:07 17:55 09:53 09:57 09:5962 14:48 16:26 18:07 09:24 09:38 09:4660 15:10 16:42 18:17 09:01 09:22 09:3558 15:27 16:55 18:26 08:43 09:08 09:2556 15:42 17:06 18:33 08:28 08:56 09:1754 15:55 17:16 18:40 08:15 08:46 09:0952 16:06 17:24 18:46 08:03 08:36 09:0250 16:16 17:32 18:51 07:53 08:28 08:5645 16:37 17:49 19:03 07:31 08:10 08:4340 16:54 18:02 19:13 07:14 07:56 08:3235 17:08 18:14 19:21 06:59 07:43 08:2230 17:20 18:24 19:28 06:46 07:32 08:1420 17:41 18:41 19:41 06:24 07:14 07:6010 17:59 18:56 19:52 06:05 06:57 07:470 18:16 19:10 20:02 05:47 06:42 07:35-10 18:33 19:24 20:12 05:29 06:26 07:23-20 18:51 19:38 20:23 05:10 06:10 07:10-30 19:11 19:55 20:35 04:47 05:50 06:55-35 19:23 20:05 20:42 04:34 05:39 06:46-40 19:37 20:16 20:50 04:19 05:26 06:36-45 19:53 20:29 20:59 04:01 05:11 06:24-50 20:14 20:45 21:10 03:38 04:51 06:10-52 20:23 20:52 21:15 03:27 04:42 06:03-54 20:34 21:00 21:21 03:15 04:32 05:55-56 20:46 21:09 21:27 03:01 04:21 05:47-58 20:59 21:20 21:34 02:44 04:07 05:37-60 21:16 21:32 21:42 02:24 03:52 05:26

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower28 12:53 12:58 12:12 00:28 12:01 15(100%)29 13:04 13:09 12:13 00:28 12:55 16(99%)30 13:14 13:19 12:13 01:22 13:48 17(96%)

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January 31, 01 ,02 (Sun., Mon., Tue.)Aries Venus Mars Jupiter Saturn

Sun GHA GHA Dec GHA Dec GHA Dec GHA Dec0 130◦26.1 190◦12.2 -21◦07.8 91◦16.0 16◦39.3 178◦01.3 -18◦17.7 182◦48.9 -19◦23.11 145◦28.5 205◦11.4 -21◦07.3 106◦17.2 16◦39.8 193◦03.2 -18◦17.5 197◦51.1 -19◦23.12 160◦31.0 220◦10.6 -21◦06.8 121◦18.3 16◦40.2 208◦05.0 -18◦17.4 212◦53.2 -19◦23.03 175◦33.5 235◦09.7 -21◦06.2 136◦19.5 16◦40.6 223◦06.9 -18◦17.2 227◦55.4 -19◦22.94 190◦35.9 250◦08.9 -21◦05.7 151◦20.6 16◦41.0 238◦08.8 -18◦17.1 242◦57.5 -19◦22.95 205◦38.4 265◦08.0 -21◦05.1 166◦21.8 16◦41.5 253◦10.6 -18◦16.9 257◦59.7 -19◦22.86 220◦40.8 280◦07.2 -21◦04.6 181◦22.9 16◦41.9 268◦12.5 -18◦16.7 273◦01.8 -19◦22.77 235◦43.3 295◦06.3 -21◦04.1 196◦24.0 16◦42.3 283◦14.4 -18◦16.6 288◦04.0 -19◦22.78 250◦45.8 310◦05.5 -21◦03.5 211◦25.2 16◦42.8 298◦16.2 -18◦16.4 303◦06.2 -19◦22.69 265◦48.2 325◦04.6 -21◦03.0 226◦26.3 16◦43.2 313◦18.1 -18◦16.3 318◦08.3 -19◦22.510 280◦50.7 340◦03.8 -21◦02.4 241◦27.5 16◦43.6 328◦19.9 -18◦16.1 333◦10.5 -19◦22.411 295◦53.2 355◦03.0 -21◦01.9 256◦28.6 16◦44.1 343◦21.8 -18◦16.0 348◦12.6 -19◦22.412 310◦55.6 10◦02.1 -21◦01.3 271◦29.8 16◦44.5 358◦23.7 -18◦15.8 3◦14.8 -19◦22.313 325◦58.1 25◦01.3 -21◦00.8 286◦30.9 16◦44.9 13◦25.5 -18◦15.7 18◦17.0 -19◦22.214 341◦00.6 40◦00.4 -21◦00.2 301◦32.1 16◦45.3 28◦27.4 -18◦15.5 33◦19.1 -19◦22.215 356◦03.0 54◦59.6 -20◦59.7 316◦33.2 16◦45.8 43◦29.2 -18◦15.3 48◦21.3 -19◦22.116 11◦05.5 69◦58.8 -20◦59.1 331◦34.4 16◦46.2 58◦31.1 -18◦15.2 63◦23.4 -19◦22.017 26◦07.9 84◦57.9 -20◦58.6 346◦35.5 16◦46.6 73◦33.0 -18◦15.0 78◦25.6 -19◦22.018 41◦10.4 99◦57.1 -20◦58.0 1◦36.7 16◦47.1 88◦34.8 -18◦14.9 93◦27.7 -19◦21.919 56◦12.9 114◦56.2 -20◦57.5 16◦37.8 16◦47.5 103◦36.7 -18◦14.7 108◦29.9 -19◦21.820 71◦15.3 129◦55.4 -20◦56.9 31◦38.9 16◦47.9 118◦38.5 -18◦14.6 123◦32.1 -19◦21.821 86◦17.8 144◦54.6 -20◦56.3 46◦40.1 16◦48.4 133◦40.4 -18◦14.4 138◦34.2 -19◦21.722 101◦20.3 159◦53.7 -20◦55.8 61◦41.2 16◦48.8 148◦42.3 -18◦14.2 153◦36.4 -19◦21.623 116◦22.7 174◦52.9 -20◦55.2 76◦42.4 16◦49.2 163◦44.1 -18◦14.1 168◦38.5 -19◦21.5Mer.pass.:15:15 v-0.8 d0.5 m-3.8 v1.2 d0.4 m0.4 v1.9 d0.2 m-1.8 v2.2 d0.1 m0.6

Mon GHA GHA Dec GHA Dec GHA Dec GHA Dec0 131◦25.2 189◦52.1 -20◦54.7 91◦43.5 16◦49.6 178◦46.0 -18◦13.9 183◦40.7 -19◦21.51 146◦27.7 204◦51.2 -20◦54.1 106◦44.7 16◦50.1 193◦47.8 -18◦13.8 198◦42.9 -19◦21.42 161◦30.1 219◦50.4 -20◦53.5 121◦45.8 16◦50.5 208◦49.7 -18◦13.6 213◦45.0 -19◦21.33 176◦32.6 234◦49.5 -20◦53.0 136◦46.9 16◦50.9 223◦51.6 -18◦13.5 228◦47.2 -19◦21.34 191◦35.1 249◦48.7 -20◦52.4 151◦48.1 16◦51.4 238◦53.4 -18◦13.3 243◦49.3 -19◦21.25 206◦37.5 264◦47.9 -20◦51.8 166◦49.2 16◦51.8 253◦55.3 -18◦13.2 258◦51.5 -19◦21.16 221◦40.0 279◦47.0 -20◦51.3 181◦50.4 16◦52.2 268◦57.2 -18◦13.0 273◦53.7 -19◦21.17 236◦42.4 294◦46.2 -20◦50.7 196◦51.5 16◦52.6 283◦59.0 -18◦12.8 288◦55.8 -19◦21.08 251◦44.9 309◦45.4 -20◦50.1 211◦52.7 16◦53.1 299◦00.9 -18◦12.7 303◦58.0 -19◦20.99 266◦47.4 324◦44.5 -20◦49.6 226◦53.8 16◦53.5 314◦02.7 -18◦12.5 319◦00.1 -19◦20.910 281◦49.8 339◦43.7 -20◦49.0 241◦54.9 16◦53.9 329◦04.6 -18◦12.4 334◦02.3 -19◦20.811 296◦52.3 354◦42.9 -20◦48.4 256◦56.1 16◦54.4 344◦06.5 -18◦12.2 349◦04.4 -19◦20.712 311◦54.8 9◦42.0 -20◦47.8 271◦57.2 16◦54.8 359◦08.3 -18◦12.1 4◦06.6 -19◦20.613 326◦57.2 24◦41.2 -20◦47.3 286◦58.4 16◦55.2 14◦10.2 -18◦11.9 19◦08.8 -19◦20.614 341◦59.7 39◦40.4 -20◦46.7 301◦59.5 16◦55.6 29◦12.0 -18◦11.7 34◦10.9 -19◦20.515 357◦02.2 54◦39.6 -20◦46.1 317◦00.6 16◦56.1 44◦13.9 -18◦11.6 49◦13.1 -19◦20.416 12◦04.6 69◦38.7 -20◦45.5 332◦01.8 16◦56.5 59◦15.8 -18◦11.4 64◦15.2 -19◦20.417 27◦07.1 84◦37.9 -20◦44.9 347◦02.9 16◦56.9 74◦17.6 -18◦11.3 79◦17.4 -19◦20.318 42◦09.5 99◦37.1 -20◦44.4 2◦04.0 16◦57.3 89◦19.5 -18◦11.1 94◦19.6 -19◦20.219 57◦12.0 114◦36.2 -20◦43.8 17◦05.2 16◦57.8 104◦21.4 -18◦11.0 109◦21.7 -19◦20.220 72◦14.5 129◦35.4 -20◦43.2 32◦06.3 16◦58.2 119◦23.2 -18◦10.8 124◦23.9 -19◦20.121 87◦16.9 144◦34.6 -20◦42.6 47◦07.5 16◦58.6 134◦25.1 -18◦10.6 139◦26.0 -19◦20.022 102◦19.4 159◦33.8 -20◦42.0 62◦08.6 16◦59.1 149◦26.9 -18◦10.5 154◦28.2 -19◦20.023 117◦21.9 174◦32.9 -20◦41.4 77◦09.7 16◦59.5 164◦28.8 -18◦10.3 169◦30.4 -19◦19.9Mer.pass.:15:11 v-0.8 d0.6 m-3.8 v1.1 d0.4 m0.5 v1.9 d0.2 m-1.8 v2.2 d0.1 m0.6

Tue GHA GHA Dec GHA Dec GHA Dec GHA Dec0 132◦24.3 189◦32.1 -20◦40.9 92◦10.9 16◦59.9 179◦30.7 -18◦10.2 184◦32.5 -19◦19.81 147◦26.8 204◦31.3 -20◦40.3 107◦12.0 17◦00.3 194◦32.5 -18◦10.0 199◦34.7 -19◦19.82 162◦29.3 219◦30.5 -20◦39.7 122◦13.1 17◦00.8 209◦34.4 -18◦09.9 214◦36.8 -19◦19.73 177◦31.7 234◦29.6 -20◦39.1 137◦14.3 17◦01.2 224◦36.2 -18◦09.7 229◦39.0 -19◦19.64 192◦34.2 249◦28.8 -20◦38.5 152◦15.4 17◦01.6 239◦38.1 -18◦09.5 244◦41.2 -19◦19.55 207◦36.7 264◦28.0 -20◦37.9 167◦16.5 17◦02.0 254◦40.0 -18◦09.4 259◦43.3 -19◦19.56 222◦39.1 279◦27.2 -20◦37.3 182◦17.7 17◦02.5 269◦41.8 -18◦09.2 274◦45.5 -19◦19.47 237◦41.6 294◦26.3 -20◦36.7 197◦18.8 17◦02.9 284◦43.7 -18◦09.1 289◦47.6 -19◦19.38 252◦44.0 309◦25.5 -20◦36.1 212◦19.9 17◦03.3 299◦45.6 -18◦08.9 304◦49.8 -19◦19.39 267◦46.5 324◦24.7 -20◦35.5 227◦21.1 17◦03.7 314◦47.4 -18◦08.8 319◦51.9 -19◦19.210 282◦49.0 339◦23.9 -20◦34.9 242◦22.2 17◦04.2 329◦49.3 -18◦08.6 334◦54.1 -19◦19.111 297◦51.4 354◦23.0 -20◦34.3 257◦23.3 17◦04.6 344◦51.1 -18◦08.4 349◦56.3 -19◦19.112 312◦53.9 9◦22.2 -20◦33.7 272◦24.5 17◦05.0 359◦53.0 -18◦08.3 4◦58.4 -19◦19.013 327◦56.4 24◦21.4 -20◦33.1 287◦25.6 17◦05.4 14◦54.9 -18◦08.1 20◦00.6 -19◦18.914 342◦58.8 39◦20.6 -20◦32.5 302◦26.7 17◦05.9 29◦56.7 -18◦08.0 35◦02.7 -19◦18.915 358◦01.3 54◦19.8 -20◦31.9 317◦27.8 17◦06.3 44◦58.6 -18◦07.8 50◦04.9 -19◦18.816 13◦03.8 69◦18.9 -20◦31.3 332◦29.0 17◦06.7 60◦00.4 -18◦07.7 65◦07.1 -19◦18.717 28◦06.2 84◦18.1 -20◦30.7 347◦30.1 17◦07.1 75◦02.3 -18◦07.5 80◦09.2 -19◦18.618 43◦08.7 99◦17.3 -20◦30.1 2◦31.2 17◦07.6 90◦04.2 -18◦07.3 95◦11.4 -19◦18.619 58◦11.2 114◦16.5 -20◦29.5 17◦32.4 17◦08.0 105◦06.0 -18◦07.2 110◦13.5 -19◦18.520 73◦13.6 129◦15.7 -20◦28.9 32◦33.5 17◦08.4 120◦07.9 -18◦07.0 125◦15.7 -19◦18.421 88◦16.1 144◦14.9 -20◦28.3 47◦34.6 17◦08.8 135◦09.8 -18◦06.9 140◦17.9 -19◦18.422 103◦18.5 159◦14.0 -20◦27.7 62◦35.8 17◦09.3 150◦11.6 -18◦06.7 155◦20.0 -19◦18.323 118◦21.0 174◦13.2 -20◦27.0 77◦36.9 17◦09.7 165◦13.5 -18◦06.6 170◦22.2 -19◦18.2Mer.pass.:15:07 v-0.8 d0.6 m-3.8 v1.1 d0.4 m0.5 v1.9 d0.2 m-1.8 v2.2 d0.1 m0.6

StarsSHA Dec

Alpheratz 357◦38.3 29◦12.4Ankaa 353◦10.6 -42◦11.8

Schedar 349◦34.9 56◦39.3Diphda 348◦50.6 -17◦52.5

Achernar 335◦22.8 -57◦08.2Hamal 327◦54.8 23◦33.7Polaris 315◦26.5 89◦21.4Akamar 315◦14.2 -40◦13.6Menkar 314◦09.4 4◦10.2Mirfak 308◦32.7 49◦56.2

Aldebaran 290◦43.1 16◦33.0Rigel 281◦06.7 -8◦10.8

Capella 280◦26.3 46◦01.2Bellatrix 278◦26.1 6◦22.0Elnath 278◦05.6 28◦37.5Alnilam 275◦40.7 -1◦11.5

Betelgeuse 270◦55.3 7◦24.5Canopus 263◦53.3 -52◦42.6

Sirius 258◦28.6 -16◦44.7Adara 255◦08.0 -29◦00.2

Procyon 244◦53.8 5◦10.3Pollux 243◦20.7 27◦58.5Avior 234◦15.3 -59◦34.6Suhail 222◦48.1 -43◦31.0

Miaplacidus 221◦37.9 -69◦48.1Alphard 217◦50.5 -8◦45.0Regulus 207◦37.5 11◦51.8Dubhe 193◦44.5 61◦38.1

Denebola 182◦27.9 14◦27.2Gienah 175◦46.6 -17◦39.4Acrux 173◦03.1 -63◦12.6

Gacrux 171◦54.8 -57◦13.6Alioth 166◦15.7 55◦50.5Spica 158◦25.5 -11◦16.2Alcaid 152◦54.5 49◦12.3Hadar 148◦40.3 -60◦28.1

Menkent 148◦01.3 -36◦28.2Arcturus 145◦50.7 19◦04.6

Rigil Kent. 139◦44.6 -60◦55.0Zubenelg. 136◦59.6 -16◦07.6Kochab 137◦20.0 74◦03.9

Alphecca 126◦06.6 26◦38.5Antares 112◦19.9 -26◦28.6

Atria 107◦17.3 -69◦03.6Sabik 102◦06.6 -15◦45.0

Shaula 96◦15.0 -37◦07.0Rasalhague 96◦01.8 12◦32.6

Etamin 90◦44.1 51◦29.0Kaus Aust. 83◦37.1 -34◦22.4

Vega 80◦35.8 38◦48.0Nunki 75◦52.0 -26◦16.2Altair 62◦03.4 8◦55.3

Peacock 53◦11.4 -56◦40.1Deneb 49◦28.4 45◦21.2

Enif 33◦42.2 9◦58.2Alnair 27◦37.4 -46◦51.7

Fomalhaut 15◦18.4 -29◦30.9Scheat 13◦48.6 28◦11.7Markab 13◦33.3 15◦19.0

2021/1/3 SHA Mer.passVenus 59◦46.2 11:20Mars 320◦49.9 17:54

Jupiter 47◦35.3 12:06Saturn 52◦22.8 11:47

2021/2/1 SHA Mer.passVenus 58◦26.9 11:21Mars 320◦18.3 17:52

Jupiter 47◦20.8 12:03Saturn 52◦15.5 11:44

2021/2/2 SHA Mer.passVenus 57◦07.8 11:22Mars 319◦46.5 17:50

Jupiter 47◦06.3 12:00Saturn 52◦08.2 11:40

Horizontal paralaxVenus: 0.1Mars: 0.1

22

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2021 January 31 to Feb. 02

h Sun MoonSun GHA Dec GHA ν Dec d HP0 176◦39.3 -17◦22.8 327◦40.3 10.3 12◦45.6 -12.8 58.61 191◦39.2 -17◦22.1 342◦09.6 10.3 12◦32.7 -12.9 58.62 206◦39.1 -17◦21.4 356◦39.0 10.4 12◦19.8 -12.9 58.63 221◦39.0 -17◦20.7 11◦08.4 10.4 12◦06.8 -13.0 58.64 236◦38.9 -17◦20.0 25◦37.9 10.5 11◦53.8 -13.1 58.65 251◦38.8 -17◦19.3 40◦07.3 10.5 11◦40.6 -13.2 58.66 266◦38.7 -17◦18.6 54◦36.9 10.5 11◦27.5 -13.2 58.77 281◦38.6 -17◦17.9 69◦06.4 10.6 11◦14.2 -13.3 58.78 296◦38.5 -17◦17.2 83◦36.0 10.6 11◦00.9 -13.4 58.79 311◦38.4 -17◦16.5 98◦05.6 10.6 10◦47.5 -13.4 58.710 326◦38.4 -17◦15.8 112◦35.3 10.7 10◦34.0 -13.5 58.711 341◦38.3 -17◦15.1 127◦05.0 10.7 10◦20.5 -13.5 58.712 356◦38.2 -17◦14.4 141◦34.7 10.8 10◦06.9 -13.6 58.713 11◦38.1 -17◦13.7 156◦04.5 10.8 9◦53.3 -13.7 58.714 26◦38.0 -17◦12.9 170◦34.3 10.8 9◦39.6 -13.7 58.815 41◦37.9 -17◦12.2 185◦04.1 10.8 9◦25.8 -13.8 58.816 56◦37.8 -17◦11.5 199◦34.0 10.9 9◦12.0 -13.8 58.817 71◦37.7 -17◦10.8 214◦03.9 10.9 8◦58.2 -13.9 58.818 86◦37.7 -17◦10.1 228◦33.8 10.9 8◦44.2 -13.9 58.819 101◦37.6 -17◦09.4 243◦03.8 11.0 8◦30.3 -14.0 58.820 116◦37.5 -17◦08.7 257◦33.8 11.0 8◦16.3 -14.0 58.821 131◦37.4 -17◦08.0 272◦03.8 11.0 8◦02.2 -14.1 58.922 146◦37.3 -17◦07.3 286◦33.8 11.1 7◦48.1 -14.1 58.923 161◦37.2 -17◦06.6 301◦03.9 11.1 7◦33.9 -14.2 58.9

SD.=16.2 d=0.7 S.D.=16.0

Mon GHA Dec GHA ν Dec d HP0 176◦37.1 -17◦05.9 315◦34.0 11.1 7◦19.7 -14.2 58.91 191◦37.1 -17◦05.2 330◦04.1 11.1 7◦05.5 -14.3 58.92 206◦37.0 -17◦04.4 344◦34.2 11.1 6◦51.2 -14.3 58.93 221◦36.9 -17◦03.7 359◦04.4 11.2 6◦36.9 -14.3 58.94 236◦36.8 -17◦03.0 13◦34.6 11.2 6◦22.5 -14.4 58.95 251◦36.7 -17◦02.3 28◦04.8 11.2 6◦08.1 -14.4 58.96 266◦36.7 -17◦01.6 42◦35.0 11.2 5◦53.6 -14.5 59.07 281◦36.6 -17◦00.9 57◦05.2 11.3 5◦39.2 -14.5 59.08 296◦36.5 -17◦00.2 71◦35.5 11.3 5◦24.7 -14.5 59.09 311◦36.4 -16◦59.4 86◦05.8 11.3 5◦10.1 -14.6 59.010 326◦36.3 -16◦58.7 100◦36.1 11.3 4◦55.5 -14.6 59.011 341◦36.2 -16◦58.0 115◦06.4 11.3 4◦40.9 -14.6 59.012 356◦36.2 -16◦57.3 129◦36.7 11.3 4◦26.3 -14.6 59.013 11◦36.1 -16◦56.6 144◦07.1 11.3 4◦11.7 -14.7 59.014 26◦36.0 -16◦55.9 158◦37.4 11.4 3◦57.0 -14.7 59.015 41◦35.9 -16◦55.1 173◦07.8 11.4 3◦42.3 -14.7 59.016 56◦35.9 -16◦54.4 187◦38.2 11.4 3◦27.5 -14.7 59.017 71◦35.8 -16◦53.7 202◦08.6 11.4 3◦12.8 -14.8 59.118 86◦35.7 -16◦53.0 216◦39.0 11.4 2◦58.0 -14.8 59.119 101◦35.6 -16◦52.3 231◦09.4 11.4 2◦43.2 -14.8 59.120 116◦35.5 -16◦51.5 245◦39.8 11.4 2◦28.4 -14.8 59.121 131◦35.5 -16◦50.8 260◦10.2 11.4 2◦13.6 -14.8 59.122 146◦35.4 -16◦50.1 274◦40.6 11.4 1◦58.8 -14.8 59.123 161◦35.3 -16◦49.4 289◦11.1 11.4 1◦43.9 -14.9 59.1

SD.=16.2 d=0.7 S.D.=16.1

Tue GHA Dec GHA ν Dec d HP0 176◦35.2 -16◦48.7 303◦41.5 11.4 1◦29.1 -14.9 59.11 191◦35.2 -16◦47.9 318◦11.9 11.4 1◦14.2 -14.9 59.12 206◦35.1 -16◦47.2 332◦42.4 11.4 0◦59.3 -14.9 59.13 221◦35.0 -16◦46.5 347◦12.8 11.4 0◦44.4 -14.9 59.14 236◦34.9 -16◦45.8 1◦43.2 11.4 0◦29.5 -14.9 59.15 251◦34.9 -16◦45.0 16◦13.7 11.4 0◦14.6 -14.9 59.16 266◦34.8 -16◦44.3 30◦44.1 11.4 -0◦00.3 -14.9 59.17 281◦34.7 -16◦43.6 45◦14.5 11.4 -0◦15.2 -14.9 59.18 296◦34.6 -16◦42.8 59◦44.9 11.4 -0◦30.1 -14.9 59.29 311◦34.6 -16◦42.1 74◦15.4 11.4 -0◦45.0 -14.9 59.210 326◦34.5 -16◦41.4 88◦45.8 11.4 -0◦59.9 -14.9 59.211 341◦34.4 -16◦40.7 103◦16.2 11.4 -1◦14.8 -14.9 59.212 356◦34.4 -16◦39.9 117◦46.6 11.4 -1◦29.7 -14.9 59.213 11◦34.3 -16◦39.2 132◦17.0 11.4 -1◦44.6 -14.9 59.214 26◦34.2 -16◦38.5 146◦47.3 11.4 -1◦59.5 -14.9 59.215 41◦34.1 -16◦37.7 161◦17.7 11.4 -2◦14.3 -14.9 59.216 56◦34.1 -16◦37.0 175◦48.0 11.3 -2◦29.2 -14.9 59.217 71◦34.0 -16◦36.3 190◦18.4 11.3 -2◦44.0 -14.8 59.218 86◦33.9 -16◦35.5 204◦48.7 11.3 -2◦58.9 -14.8 59.219 101◦33.9 -16◦34.8 219◦19.0 11.3 -3◦13.7 -14.8 59.220 116◦33.8 -16◦34.1 233◦49.3 11.3 -3◦28.5 -14.8 59.221 131◦33.7 -16◦33.3 248◦19.5 11.3 -3◦43.3 -14.8 59.222 146◦33.7 -16◦32.6 262◦49.8 11.2 -3◦58.1 -14.8 59.223 161◦33.6 -16◦31.9 277◦20.0 11.2 -4◦12.8 -14.7 59.2

SD.=16.2 d=0.7 S.D.=16.1

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 07:09 08:37 10:25 14:03 15:51 17:2070 07:01 08:19 09:44 14:44 16:09 17:2868 06:54 08:04 09:16 15:12 16:24 17:3466 06:49 07:52 08:55 15:33 16:36 17:4064 06:44 07:42 08:39 15:49 16:46 17:4462 06:39 07:34 08:25 16:03 16:54 17:4960 06:35 07:26 08:13 16:15 17:02 17:5358 06:32 07:19 08:03 16:25 17:09 17:5656 06:28 07:13 07:54 16:33 17:15 17:6054 06:25 07:08 07:47 16:41 17:20 18:0352 06:22 07:03 07:40 16:48 17:25 18:0550 06:20 06:58 07:33 16:55 17:29 18:0845 06:13 06:48 07:20 17:08 17:39 18:1440 06:07 06:40 07:08 17:19 17:48 18:2035 06:02 06:32 06:59 17:29 17:55 18:2630 05:57 06:25 06:50 17:37 18:02 18:3120 05:46 06:12 06:35 17:52 18:15 18:4110 05:35 06:00 06:22 18:05 18:27 18:520 05:23 05:48 06:10 18:17 18:39 19:04-10 05:10 05:36 05:58 18:29 18:51 19:17-20 04:53 05:21 05:44 18:43 19:06 19:33-30 04:32 05:03 05:29 18:58 19:24 19:54-35 04:19 04:52 05:20 19:07 19:34 20:08-40 04:02 04:39 05:09 19:17 19:47 20:24-45 03:42 04:24 04:57 19:29 20:03 20:44-50 03:15 04:04 04:42 19:44 20:22 21:11-52 03:01 03:55 04:35 19:51 20:31 21:25-54 02:44 03:44 04:27 19:59 20:42 21:41-56 02:23 03:31 04:18 20:07 20:54 22:01-58 01:56 03:17 04:08 20:17 21:08 22:27-60 01:12 02:59 03:57 20:29 21:25 23:07

Moonrise MoonsetLat. Sun Mon Tue Sun Mon Tue72 19:00 21:15 23:27 10:46 10:17 09:5170 19:14 21:18 23:21 10:31 10:10 09:5268 19:24 21:20 23:15 10:18 10:05 09:5466 19:33 21:22 23:11 10:07 10:01 09:5564 19:40 21:24 23:07 09:58 09:57 09:5562 19:47 21:25 23:04 09:50 09:54 09:5660 19:52 21:27 23:01 09:44 09:51 09:5758 19:57 21:28 22:59 09:38 09:48 09:5756 20:01 21:29 22:57 09:33 09:46 09:5854 20:05 21:30 22:55 09:28 09:44 09:5852 20:08 21:31 22:53 09:23 09:42 09:5950 20:11 21:31 22:51 09:20 09:40 09:5945 20:18 21:33 22:48 09:11 09:36 10:0040 20:24 21:34 22:45 09:04 09:33 10:0135 20:28 21:35 22:42 08:58 09:30 10:0130 20:33 21:36 22:40 08:52 09:28 10:0220 20:40 21:38 22:37 08:42 09:23 10:0310 20:46 21:40 22:33 08:34 09:19 10:040 20:52 21:41 22:30 08:26 09:16 10:04-10 20:58 21:43 22:27 08:18 09:12 10:05-20 21:04 21:44 22:24 08:09 09:08 10:06-30 21:11 21:46 22:21 07:59 09:03 10:07-35 21:16 21:47 22:19 07:53 09:00 10:07-40 21:20 21:48 22:16 07:47 08:57 10:08-45 21:25 21:50 22:14 07:39 08:54 10:09-50 21:32 21:52 22:11 07:29 08:49 10:09-52 21:35 21:52 22:09 07:25 08:47 10:10-54 21:38 21:53 22:08 07:20 08:45 10:10-56 21:42 21:54 22:06 07:15 08:43 10:10-58 21:45 21:55 22:04 07:09 08:40 10:11-60 21:50 21:56 22:02 07:02 08:37 10:11

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower31 13:23 13:27 12:13 02:13 14:39 18(91%)1 13:31 13:35 12:13 03:03 15:28 19(84%)2 13:39 13:43 12:13 03:52 16:17 20(75%)

23

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February 03, 04 ,05 (Wed., Thu., Fri.)Aries Venus Mars Jupiter Saturn

Wed GHA GHA Dec GHA Dec GHA Dec GHA Dec0 133◦23.5 189◦12.4 -20◦26.4 92◦38.0 17◦10.1 180◦15.3 -18◦06.4 185◦24.3 -19◦18.21 148◦25.9 204◦11.6 -20◦25.8 107◦39.1 17◦10.5 195◦17.2 -18◦06.2 200◦26.5 -19◦18.12 163◦28.4 219◦10.8 -20◦25.2 122◦40.3 17◦11.0 210◦19.1 -18◦06.1 215◦28.7 -19◦18.03 178◦30.9 234◦10.0 -20◦24.6 137◦41.4 17◦11.4 225◦20.9 -18◦05.9 230◦30.8 -19◦18.04 193◦33.3 249◦09.2 -20◦24.0 152◦42.5 17◦11.8 240◦22.8 -18◦05.8 245◦33.0 -19◦17.95 208◦35.8 264◦08.3 -20◦23.4 167◦43.6 17◦12.2 255◦24.7 -18◦05.6 260◦35.1 -19◦17.86 223◦38.3 279◦07.5 -20◦22.7 182◦44.8 17◦12.7 270◦26.5 -18◦05.4 275◦37.3 -19◦17.77 238◦40.7 294◦06.7 -20◦22.1 197◦45.9 17◦13.1 285◦28.4 -18◦05.3 290◦39.5 -19◦17.78 253◦43.2 309◦05.9 -20◦21.5 212◦47.0 17◦13.5 300◦30.2 -18◦05.1 305◦41.6 -19◦17.69 268◦45.6 324◦05.1 -20◦20.9 227◦48.1 17◦13.9 315◦32.1 -18◦05.0 320◦43.8 -19◦17.510 283◦48.1 339◦04.3 -20◦20.2 242◦49.3 17◦14.4 330◦34.0 -18◦04.8 335◦45.9 -19◦17.511 298◦50.6 354◦03.5 -20◦19.6 257◦50.4 17◦14.8 345◦35.8 -18◦04.7 350◦48.1 -19◦17.412 313◦53.0 9◦02.7 -20◦19.0 272◦51.5 17◦15.2 0◦37.7 -18◦04.5 5◦50.3 -19◦17.313 328◦55.5 24◦01.8 -20◦18.4 287◦52.6 17◦15.6 15◦39.6 -18◦04.3 20◦52.4 -19◦17.314 343◦58.0 39◦01.0 -20◦17.7 302◦53.8 17◦16.0 30◦41.4 -18◦04.2 35◦54.6 -19◦17.215 359◦00.4 54◦00.2 -20◦17.1 317◦54.9 17◦16.5 45◦43.3 -18◦04.0 50◦56.7 -19◦17.116 14◦02.9 68◦59.4 -20◦16.5 332◦56.0 17◦16.9 60◦45.1 -18◦03.9 65◦58.9 -19◦17.117 29◦05.4 83◦58.6 -20◦15.9 347◦57.1 17◦17.3 75◦47.0 -18◦03.7 81◦01.1 -19◦17.018 44◦07.8 98◦57.8 -20◦15.2 2◦58.3 17◦17.7 90◦48.9 -18◦03.6 96◦03.2 -19◦16.919 59◦10.3 113◦57.0 -20◦14.6 17◦59.4 17◦18.2 105◦50.7 -18◦03.4 111◦05.4 -19◦16.820 74◦12.8 128◦56.2 -20◦14.0 33◦00.5 17◦18.6 120◦52.6 -18◦03.2 126◦07.5 -19◦16.821 89◦15.2 143◦55.4 -20◦13.3 48◦01.6 17◦19.0 135◦54.5 -18◦03.1 141◦09.7 -19◦16.722 104◦17.7 158◦54.6 -20◦12.7 63◦02.7 17◦19.4 150◦56.3 -18◦02.9 156◦11.9 -19◦16.623 119◦20.1 173◦53.8 -20◦12.0 78◦03.9 17◦19.9 165◦58.2 -18◦02.8 171◦14.0 -19◦16.6Mer.pass.:15:03 v-0.8 d0.6 m-3.8 v1.1 d0.4 m0.5 v1.9 d0.2 m-1.8 v2.2 d0.1 m0.6

Thu GHA GHA Dec GHA Dec GHA Dec GHA Dec0 134◦22.6 188◦53.0 -20◦11.4 93◦05.0 17◦20.3 181◦00.0 -18◦02.6 186◦16.2 -19◦16.51 149◦25.1 203◦52.2 -20◦10.8 108◦06.1 17◦20.7 196◦01.9 -18◦02.4 201◦18.3 -19◦16.42 164◦27.5 218◦51.4 -20◦10.1 123◦07.2 17◦21.1 211◦03.8 -18◦02.3 216◦20.5 -19◦16.43 179◦30.0 233◦50.6 -20◦09.5 138◦08.3 17◦21.5 226◦05.6 -18◦02.1 231◦22.7 -19◦16.34 194◦32.5 248◦49.8 -20◦08.8 153◦09.5 17◦22.0 241◦07.5 -18◦02.0 246◦24.8 -19◦16.25 209◦34.9 263◦49.0 -20◦08.2 168◦10.6 17◦22.4 256◦09.4 -18◦01.8 261◦27.0 -19◦16.26 224◦37.4 278◦48.2 -20◦07.6 183◦11.7 17◦22.8 271◦11.2 -18◦01.7 276◦29.1 -19◦16.17 239◦39.9 293◦47.4 -20◦06.9 198◦12.8 17◦23.2 286◦13.1 -18◦01.5 291◦31.3 -19◦16.08 254◦42.3 308◦46.6 -20◦06.3 213◦13.9 17◦23.6 301◦14.9 -18◦01.3 306◦33.5 -19◦15.99 269◦44.8 323◦45.8 -20◦05.6 228◦15.0 17◦24.1 316◦16.8 -18◦01.2 321◦35.6 -19◦15.910 284◦47.3 338◦45.0 -20◦05.0 243◦16.2 17◦24.5 331◦18.7 -18◦01.0 336◦37.8 -19◦15.811 299◦49.7 353◦44.2 -20◦04.3 258◦17.3 17◦24.9 346◦20.5 -18◦00.9 351◦39.9 -19◦15.712 314◦52.2 8◦43.4 -20◦03.7 273◦18.4 17◦25.3 1◦22.4 -18◦00.7 6◦42.1 -19◦15.713 329◦54.6 23◦42.6 -20◦03.0 288◦19.5 17◦25.8 16◦24.3 -18◦00.5 21◦44.3 -19◦15.614 344◦57.1 38◦41.8 -20◦02.4 303◦20.6 17◦26.2 31◦26.1 -18◦00.4 36◦46.4 -19◦15.515 359◦59.6 53◦41.0 -20◦01.7 318◦21.7 17◦26.6 46◦28.0 -18◦00.2 51◦48.6 -19◦15.516 15◦02.0 68◦40.2 -20◦01.1 333◦22.9 17◦27.0 61◦29.9 -18◦00.1 66◦50.8 -19◦15.417 30◦04.5 83◦39.4 -20◦00.4 348◦24.0 17◦27.4 76◦31.7 -17◦59.9 81◦52.9 -19◦15.318 45◦07.0 98◦38.6 -19◦59.7 3◦25.1 17◦27.9 91◦33.6 -17◦59.7 96◦55.1 -19◦15.319 60◦09.4 113◦37.8 -19◦59.1 18◦26.2 17◦28.3 106◦35.4 -17◦59.6 111◦57.2 -19◦15.220 75◦11.9 128◦37.0 -19◦58.4 33◦27.3 17◦28.7 121◦37.3 -17◦59.4 126◦59.4 -19◦15.121 90◦14.4 143◦36.2 -19◦57.8 48◦28.4 17◦29.1 136◦39.2 -17◦59.3 142◦01.6 -19◦15.022 105◦16.8 158◦35.4 -19◦57.1 63◦29.5 17◦29.5 151◦41.0 -17◦59.1 157◦03.7 -19◦15.023 120◦19.3 173◦34.6 -19◦56.5 78◦30.7 17◦30.0 166◦42.9 -17◦59.0 172◦05.9 -19◦14.9Mer.pass.:15:00 v-0.8 d0.6 m-3.8 v1.1 d0.4 m0.5 v1.9 d0.2 m-1.8 v2.2 d0.1 m0.6

Fri GHA GHA Dec GHA Dec GHA Dec GHA Dec0 135◦21.7 188◦33.8 -19◦55.8 93◦31.8 17◦30.4 181◦44.8 -17◦58.8 187◦08.0 -19◦14.81 150◦24.2 203◦33.0 -19◦55.1 108◦32.9 17◦30.8 196◦46.6 -17◦58.6 202◦10.2 -19◦14.82 165◦26.7 218◦32.2 -19◦54.5 123◦34.0 17◦31.2 211◦48.5 -17◦58.5 217◦12.4 -19◦14.73 180◦29.1 233◦31.4 -19◦53.8 138◦35.1 17◦31.6 226◦50.4 -17◦58.3 232◦14.5 -19◦14.64 195◦31.6 248◦30.6 -19◦53.1 153◦36.2 17◦32.0 241◦52.2 -17◦58.2 247◦16.7 -19◦14.65 210◦34.1 263◦29.8 -19◦52.5 168◦37.3 17◦32.5 256◦54.1 -17◦58.0 262◦18.8 -19◦14.56 225◦36.5 278◦29.0 -19◦51.8 183◦38.4 17◦32.9 271◦55.9 -17◦57.8 277◦21.0 -19◦14.47 240◦39.0 293◦28.3 -19◦51.1 198◦39.5 17◦33.3 286◦57.8 -17◦57.7 292◦23.2 -19◦14.38 255◦41.5 308◦27.5 -19◦50.4 213◦40.7 17◦33.7 301◦59.7 -17◦57.5 307◦25.3 -19◦14.39 270◦43.9 323◦26.7 -19◦49.8 228◦41.8 17◦34.1 317◦01.5 -17◦57.4 322◦27.5 -19◦14.210 285◦46.4 338◦25.9 -19◦49.1 243◦42.9 17◦34.6 332◦03.4 -17◦57.2 337◦29.6 -19◦14.111 300◦48.9 353◦25.1 -19◦48.4 258◦44.0 17◦35.0 347◦05.3 -17◦57.0 352◦31.8 -19◦14.112 315◦51.3 8◦24.3 -19◦47.8 273◦45.1 17◦35.4 2◦07.1 -17◦56.9 7◦34.0 -19◦14.013 330◦53.8 23◦23.5 -19◦47.1 288◦46.2 17◦35.8 17◦09.0 -17◦56.7 22◦36.1 -19◦13.914 345◦56.2 38◦22.7 -19◦46.4 303◦47.3 17◦36.2 32◦10.9 -17◦56.6 37◦38.3 -19◦13.915 0◦58.7 53◦22.0 -19◦45.7 318◦48.4 17◦36.7 47◦12.7 -17◦56.4 52◦40.5 -19◦13.816 16◦01.2 68◦21.2 -19◦45.0 333◦49.5 17◦37.1 62◦14.6 -17◦56.2 67◦42.6 -19◦13.717 31◦03.6 83◦20.4 -19◦44.4 348◦50.6 17◦37.5 77◦16.4 -17◦56.1 82◦44.8 -19◦13.718 46◦06.1 98◦19.6 -19◦43.7 3◦51.7 17◦37.9 92◦18.3 -17◦55.9 97◦46.9 -19◦13.619 61◦08.6 113◦18.8 -19◦43.0 18◦52.8 17◦38.3 107◦20.2 -17◦55.8 112◦49.1 -19◦13.520 76◦11.0 128◦18.0 -19◦42.3 33◦54.0 17◦38.7 122◦22.0 -17◦55.6 127◦51.3 -19◦13.421 91◦13.5 143◦17.2 -19◦41.6 48◦55.1 17◦39.2 137◦23.9 -17◦55.5 142◦53.4 -19◦13.422 106◦16.0 158◦16.5 -19◦41.0 63◦56.2 17◦39.6 152◦25.8 -17◦55.3 157◦55.6 -19◦13.323 121◦18.4 173◦15.7 -19◦40.3 78◦57.3 17◦40.0 167◦27.6 -17◦55.1 172◦57.7 -19◦13.2Mer.pass.:14:56 v-0.8 d0.7 m-3.8 v1.1 d0.4 m0.5 v1.9 d0.2 m-1.8 v2.2 d0.1 m0.7

StarsSHA Dec

Alpheratz 357◦38.3 29◦12.4Ankaa 353◦10.6 -42◦11.8

Schedar 349◦34.9 56◦39.3Diphda 348◦50.6 -17◦52.5

Achernar 335◦22.9 -57◦08.2Hamal 327◦54.8 23◦33.7Polaris 315◦27.9 89◦21.4Akamar 315◦14.2 -40◦13.6Menkar 314◦09.4 4◦10.2Mirfak 308◦32.7 49◦56.2

Aldebaran 290◦43.1 16◦33.0Rigel 281◦06.7 -8◦10.8

Capella 280◦26.3 46◦01.2Bellatrix 278◦26.1 6◦22.0Elnath 278◦05.7 28◦37.5Alnilam 275◦40.7 -1◦11.5

Betelgeuse 270◦55.3 7◦24.5Canopus 263◦53.4 -52◦42.6

Sirius 258◦28.6 -16◦44.7Adara 255◦08.0 -29◦00.2

Procyon 244◦53.8 5◦10.3Pollux 243◦20.7 27◦58.5Avior 234◦15.3 -59◦34.7Suhail 222◦48.1 -43◦31.1

Miaplacidus 221◦37.9 -69◦48.2Alphard 217◦50.5 -8◦45.0Regulus 207◦37.5 11◦51.8Dubhe 193◦44.4 61◦38.1

Denebola 182◦27.9 14◦27.2Gienah 175◦46.6 -17◦39.4Acrux 173◦03.1 -63◦12.6

Gacrux 171◦54.7 -57◦13.6Alioth 166◦15.6 55◦50.5Spica 158◦25.5 -11◦16.2Alcaid 152◦54.5 49◦12.3Hadar 148◦40.3 -60◦28.1

Menkent 148◦01.3 -36◦28.2Arcturus 145◦50.6 19◦04.6

Rigil Kent. 139◦44.6 -60◦55.0Zubenelg. 136◦59.5 -16◦07.6Kochab 137◦19.9 74◦03.9

Alphecca 126◦06.6 26◦38.5Antares 112◦19.9 -26◦28.6

Atria 107◦17.2 -69◦03.6Sabik 102◦06.6 -15◦45.0

Shaula 96◦15.0 -37◦07.0Rasalhague 96◦01.7 12◦32.6

Etamin 90◦44.0 51◦29.0Kaus Aust. 83◦37.0 -34◦22.4

Vega 80◦35.7 38◦48.0Nunki 75◦52.0 -26◦16.2Altair 62◦03.4 8◦55.3

Peacock 53◦11.4 -56◦40.0Deneb 49◦28.4 45◦21.2

Enif 33◦42.2 9◦58.2Alnair 27◦37.4 -46◦51.7

Fomalhaut 15◦18.4 -29◦30.9Scheat 13◦48.6 28◦11.7Markab 13◦33.3 15◦19.0

2021/2/3 SHA Mer.passVenus 55◦48.9 11:24Mars 319◦14.5 17:48

Jupiter 46◦51.9 11:57Saturn 52◦00.9 11:37

2021/2/4 SHA Mer.passVenus 54◦30.4 11:25Mars 318◦42.4 17:46

Jupiter 46◦37.4 11:55Saturn 51◦53.6 11:33

2021/2/5 SHA Mer.passVenus 53◦12.1 11:26Mars 318◦10.0 17:45

Jupiter 46◦23.0 11:52Saturn 51◦46.3 11:30

Horizontal paralaxVenus: 0.1Mars: 0.1

24

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2021 February 03 to Feb. 05

h Sun MoonWed GHA Dec GHA ν Dec d HP0 176◦33.5 -16◦31.1 291◦50.2 11.2 -4◦27.5 -14.7 59.21 191◦33.5 -16◦30.4 306◦20.4 11.2 -4◦42.2 -14.7 59.22 206◦33.4 -16◦29.7 320◦50.5 11.1 -4◦56.9 -14.7 59.23 221◦33.3 -16◦28.9 335◦20.7 11.1 -5◦11.6 -14.6 59.24 236◦33.3 -16◦28.2 349◦50.8 11.1 -5◦26.2 -14.6 59.25 251◦33.2 -16◦27.5 4◦20.8 11.1 -5◦40.8 -14.6 59.26 266◦33.1 -16◦26.7 18◦50.9 11.0 -5◦55.4 -14.6 59.27 281◦33.1 -16◦26.0 33◦20.9 11.0 -6◦09.9 -14.5 59.28 296◦33.0 -16◦25.2 47◦50.9 11.0 -6◦24.4 -14.5 59.29 311◦32.9 -16◦24.5 62◦20.9 10.9 -6◦38.9 -14.5 59.210 326◦32.9 -16◦23.8 76◦50.8 10.9 -6◦53.3 -14.4 59.211 341◦32.8 -16◦23.0 91◦20.7 10.9 -7◦07.7 -14.4 59.212 356◦32.7 -16◦22.3 105◦50.5 10.8 -7◦22.1 -14.3 59.213 11◦32.7 -16◦21.5 120◦20.4 10.8 -7◦36.4 -14.3 59.214 26◦32.6 -16◦20.8 134◦50.2 10.8 -7◦50.7 -14.3 59.215 41◦32.6 -16◦20.1 149◦19.9 10.7 -8◦04.9 -14.2 59.216 56◦32.5 -16◦19.3 163◦49.6 10.7 -8◦19.1 -14.2 59.217 71◦32.4 -16◦18.6 178◦19.3 10.7 -8◦33.3 -14.1 59.218 86◦32.4 -16◦17.8 192◦48.9 10.6 -8◦47.4 -14.1 59.219 101◦32.3 -16◦17.1 207◦18.5 10.6 -9◦01.5 -14.0 59.220 116◦32.2 -16◦16.3 221◦48.1 10.5 -9◦15.5 -14.0 59.221 131◦32.2 -16◦15.6 236◦17.6 10.5 -9◦29.4 -13.9 59.222 146◦32.1 -16◦14.8 250◦47.1 10.4 -9◦43.3 -13.9 59.223 161◦32.1 -16◦14.1 265◦16.5 10.4 -9◦57.2 -13.8 59.2

SD.=16.2 d=0.7 S.D.=16.2

Thu GHA Dec GHA ν Dec d HP0 176◦32.0 -16◦13.3 279◦45.9 10.4 -10◦11.0 -13.8 59.21 191◦32.0 -16◦12.6 294◦15.2 10.3 -10◦24.7 -13.7 59.22 206◦31.9 -16◦11.8 308◦44.5 10.3 -10◦38.4 -13.7 59.23 221◦31.8 -16◦11.1 323◦13.7 10.2 -10◦52.0 -13.6 59.24 236◦31.8 -16◦10.4 337◦42.9 10.2 -11◦05.6 -13.5 59.25 251◦31.7 -16◦09.6 352◦12.1 10.1 -11◦19.1 -13.5 59.26 266◦31.7 -16◦08.9 6◦41.2 10.1 -11◦32.5 -13.4 59.27 281◦31.6 -16◦08.1 21◦10.2 10.0 -11◦45.9 -13.3 59.28 296◦31.5 -16◦07.3 35◦39.2 10.0 -11◦59.2 -13.3 59.29 311◦31.5 -16◦06.6 50◦08.1 9.9 -12◦12.5 -13.2 59.210 326◦31.4 -16◦05.8 64◦37.0 9.9 -12◦25.7 -13.1 59.211 341◦31.4 -16◦05.1 79◦05.8 9.8 -12◦38.8 -13.1 59.212 356◦31.3 -16◦04.3 93◦34.6 9.7 -12◦51.8 -13.0 59.213 11◦31.3 -16◦03.6 108◦03.3 9.7 -13◦04.8 -12.9 59.214 26◦31.2 -16◦02.8 122◦32.0 9.6 -13◦17.6 -12.8 59.215 41◦31.2 -16◦02.1 137◦00.6 9.6 -13◦30.4 -12.8 59.216 56◦31.1 -16◦01.3 151◦29.1 9.5 -13◦43.2 -12.7 59.217 71◦31.1 -16◦00.6 165◦57.6 9.5 -13◦55.8 -12.6 59.218 86◦31.0 -15◦59.8 180◦26.1 9.4 -14◦08.4 -12.5 59.219 101◦31.0 -15◦59.1 194◦54.4 9.3 -14◦20.9 -12.5 59.220 116◦30.9 -15◦58.3 209◦22.8 9.3 -14◦33.3 -12.4 59.221 131◦30.8 -15◦57.5 223◦51.0 9.2 -14◦45.6 -12.3 59.222 146◦30.8 -15◦56.8 238◦19.2 9.2 -14◦57.9 -12.2 59.223 161◦30.7 -15◦56.0 252◦47.3 9.1 -15◦10.0 -12.1 59.2

SD.=16.2 d=0.7 S.D.=16.2

Fri GHA Dec GHA ν Dec d HP0 176◦30.7 -15◦55.3 267◦15.4 9.0 -15◦22.1 -12.0 59.21 191◦30.6 -15◦54.5 281◦43.4 9.0 -15◦34.1 -11.9 59.22 206◦30.6 -15◦53.7 296◦11.4 8.9 -15◦46.0 -11.8 59.23 221◦30.5 -15◦53.0 310◦39.2 8.9 -15◦57.8 -11.7 59.24 236◦30.5 -15◦52.2 325◦07.1 8.8 -16◦09.5 -11.7 59.25 251◦30.4 -15◦51.5 339◦34.8 8.7 -16◦21.1 -11.6 59.26 266◦30.4 -15◦50.7 354◦02.5 8.7 -16◦32.6 -11.5 59.27 281◦30.3 -15◦49.9 8◦30.1 8.6 -16◦44.0 -11.4 59.28 296◦30.3 -15◦49.2 22◦57.7 8.5 -16◦55.3 -11.3 59.29 311◦30.2 -15◦48.4 37◦25.2 8.5 -17◦06.5 -11.2 59.110 326◦30.2 -15◦47.7 51◦52.6 8.4 -17◦17.6 -11.1 59.111 341◦30.2 -15◦46.9 66◦20.0 8.3 -17◦28.6 -11.0 59.112 356◦30.1 -15◦46.1 80◦47.3 8.3 -17◦39.5 -10.9 59.113 11◦30.1 -15◦45.4 95◦14.5 8.2 -17◦50.3 -10.7 59.114 26◦30.0 -15◦44.6 109◦41.7 8.1 -18◦01.0 -10.6 59.115 41◦30.0 -15◦43.8 124◦08.8 8.1 -18◦11.6 -10.5 59.116 56◦29.9 -15◦43.1 138◦35.8 8.0 -18◦22.1 -10.4 59.117 71◦29.9 -15◦42.3 153◦02.8 7.9 -18◦32.4 -10.3 59.118 86◦29.8 -15◦41.5 167◦29.7 7.9 -18◦42.7 -10.2 59.119 101◦29.8 -15◦40.8 181◦56.6 7.8 -18◦52.8 -10.1 59.120 116◦29.7 -15◦40.0 196◦23.3 7.7 -19◦02.8 -10.0 59.121 131◦29.7 -15◦39.2 210◦50.0 7.7 -19◦12.8 -9.8 59.122 146◦29.7 -15◦38.5 225◦16.7 7.6 -19◦22.5 -9.7 59.123 161◦29.6 -15◦37.7 239◦43.3 7.5 -19◦32.2 -9.6 59.1

SD.=16.2 d=0.8 S.D.=16.1

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 06:58 08:24 10:02 14:27 16:05 17:3270 06:51 08:08 09:28 15:01 16:22 17:3868 06:46 07:55 09:04 15:25 16:35 17:4366 06:41 07:44 08:45 15:44 16:45 17:4864 06:37 07:35 08:30 15:59 16:54 17:5262 06:33 07:27 08:17 16:12 17:02 17:5660 06:30 07:20 08:06 16:23 17:09 17:5958 06:26 07:14 07:57 16:32 17:15 18:0256 06:24 07:08 07:49 16:40 17:21 18:0554 06:21 07:03 07:41 16:47 17:25 18:0852 06:18 06:59 07:35 16:54 17:30 18:1050 06:16 06:54 07:29 16:60 17:34 18:1345 06:10 06:45 07:16 17:12 17:43 18:1840 06:05 06:37 07:05 17:23 17:51 18:2435 05:60 06:30 06:56 17:32 17:58 18:2830 05:55 06:23 06:48 17:40 18:05 18:3320 05:45 06:12 06:34 17:54 18:17 18:4310 05:35 06:00 06:22 18:06 18:28 18:530 05:24 05:49 06:10 18:17 18:39 19:04-10 05:11 05:37 05:59 18:29 18:51 19:17-20 04:55 05:23 05:46 18:42 19:05 19:32-30 04:35 05:06 05:31 18:56 19:22 19:52-35 04:22 04:55 05:23 19:05 19:32 20:05-40 04:07 04:43 05:13 19:14 19:44 20:20-45 03:48 04:29 05:01 19:26 19:58 20:39-50 03:22 04:10 04:47 19:40 20:17 21:04-52 03:09 04:01 04:41 19:46 20:25 21:17-54 02:53 03:51 04:33 19:53 20:35 21:32-56 02:35 03:39 04:25 20:01 20:47 21:50-58 02:11 03:26 04:16 20:10 20:60 22:14-60 01:36 03:10 04:05 20:21 21:16 22:46

Moonrise MoonsetLat. Wed Thu Fri Wed Thu Fri72 –:– 01:48 04:42 09:24 08:50 07:4670 –:– 01:29 03:53 09:34 09:11 08:3768 –:– 01:14 03:22 09:42 09:28 09:0966 –:– 01:02 02:59 09:48 09:41 09:3364 –:– 00:52 02:41 09:54 09:53 09:5262 –:– 00:44 02:27 09:59 10:02 10:0860 –:– 00:37 02:15 10:03 10:11 10:2158 –:– 00:31 02:04 10:07 10:18 10:3256 –:– 00:25 01:55 10:10 10:24 10:4254 –:– 00:20 01:47 10:13 10:30 10:5152 –:– 00:16 01:40 10:16 10:35 10:5850 –:– 00:12 01:33 10:19 10:40 11:0645 –:– 00:03 01:20 10:24 10:51 11:2140 23:56 –:– 01:08 10:29 10:59 11:3335 23:50 –:– 00:59 10:33 11:07 11:4430 23:45 –:– 00:50 10:37 11:13 11:5420 23:36 –:– 00:36 10:43 11:25 12:1010 23:28 –:– 00:24 10:49 11:35 12:240 23:20 –:– 00:12 10:54 11:45 12:38-10 23:13 –:– 00:01 10:59 11:54 12:51-20 23:05 23:48 –:– 11:05 12:04 13:05-30 22:56 23:34 –:– 11:11 12:16 13:22-35 22:51 23:27 –:– 11:15 12:23 13:32-40 22:46 23:17 23:54 11:19 12:31 13:43-45 22:39 23:07 23:40 11:24 12:40 13:56-50 22:31 22:54 23:23 11:30 12:51 14:12-52 22:28 22:49 23:14 11:32 12:56 14:20-54 22:24 22:42 23:05 11:35 13:01 14:28-56 22:19 22:35 22:55 11:39 13:08 14:37-58 22:15 22:27 22:44 11:42 13:15 14:48-60 22:09 22:18 22:31 11:46 13:23 15:01

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower3 13:46 13:49 12:13 04:42 17:06 21(64%)4 13:52 13:55 12:13 05:32 17:58 22(53%)5 13:57 14:00 12:14 06:24 18:51 23(41%)

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February 06, 07 ,08 (Sat., Sun., Mon.)Aries Venus Mars Jupiter Saturn

Sat GHA GHA Dec GHA Dec GHA Dec GHA Dec0 136◦20.9 188◦14.9 -19◦39.6 93◦58.4 17◦40.4 182◦29.5 -17◦55.0 187◦59.9 -19◦13.21 151◦23.4 203◦14.1 -19◦38.9 108◦59.5 17◦40.8 197◦31.4 -17◦54.8 203◦02.1 -19◦13.12 166◦25.8 218◦13.3 -19◦38.2 124◦00.6 17◦41.2 212◦33.2 -17◦54.7 218◦04.2 -19◦13.03 181◦28.3 233◦12.6 -19◦37.5 139◦01.7 17◦41.7 227◦35.1 -17◦54.5 233◦06.4 -19◦13.04 196◦30.7 248◦11.8 -19◦36.8 154◦02.8 17◦42.1 242◦37.0 -17◦54.3 248◦08.6 -19◦12.95 211◦33.2 263◦11.0 -19◦36.1 169◦03.9 17◦42.5 257◦38.8 -17◦54.2 263◦10.7 -19◦12.86 226◦35.7 278◦10.2 -19◦35.4 184◦05.0 17◦42.9 272◦40.7 -17◦54.0 278◦12.9 -19◦12.87 241◦38.1 293◦09.4 -19◦34.7 199◦06.1 17◦43.3 287◦42.5 -17◦53.9 293◦15.0 -19◦12.78 256◦40.6 308◦08.7 -19◦34.0 214◦07.2 17◦43.7 302◦44.4 -17◦53.7 308◦17.2 -19◦12.69 271◦43.1 323◦07.9 -19◦33.4 229◦08.3 17◦44.2 317◦46.3 -17◦53.5 323◦19.4 -19◦12.510 286◦45.5 338◦07.1 -19◦32.7 244◦09.4 17◦44.6 332◦48.1 -17◦53.4 338◦21.5 -19◦12.511 301◦48.0 353◦06.3 -19◦32.0 259◦10.5 17◦45.0 347◦50.0 -17◦53.2 353◦23.7 -19◦12.412 316◦50.5 8◦05.5 -19◦31.3 274◦11.6 17◦45.4 2◦51.9 -17◦53.1 8◦25.8 -19◦12.313 331◦52.9 23◦04.8 -19◦30.6 289◦12.7 17◦45.8 17◦53.7 -17◦52.9 23◦28.0 -19◦12.314 346◦55.4 38◦04.0 -19◦29.9 304◦13.8 17◦46.2 32◦55.6 -17◦52.7 38◦30.2 -19◦12.215 1◦57.9 53◦03.2 -19◦29.2 319◦14.9 17◦46.7 47◦57.5 -17◦52.6 53◦32.3 -19◦12.116 17◦00.3 68◦02.4 -19◦28.5 334◦16.0 17◦47.1 62◦59.3 -17◦52.4 68◦34.5 -19◦12.117 32◦02.8 83◦01.7 -19◦27.8 349◦17.1 17◦47.5 78◦01.2 -17◦52.3 83◦36.7 -19◦12.018 47◦05.2 98◦00.9 -19◦27.0 4◦18.2 17◦47.9 93◦03.1 -17◦52.1 98◦38.8 -19◦11.919 62◦07.7 113◦00.1 -19◦26.3 19◦19.3 17◦48.3 108◦04.9 -17◦51.9 113◦41.0 -19◦11.920 77◦10.2 127◦59.4 -19◦25.6 34◦20.4 17◦48.7 123◦06.8 -17◦51.8 128◦43.1 -19◦11.821 92◦12.6 142◦58.6 -19◦24.9 49◦21.5 17◦49.1 138◦08.7 -17◦51.6 143◦45.3 -19◦11.722 107◦15.1 157◦57.8 -19◦24.2 64◦22.6 17◦49.6 153◦10.5 -17◦51.5 158◦47.5 -19◦11.623 122◦17.6 172◦57.0 -19◦23.5 79◦23.7 17◦50.0 168◦12.4 -17◦51.3 173◦49.6 -19◦11.6Mer.pass.:14:52 v-0.8 d0.7 m-3.8 v1.1 d0.4 m0.6 v1.9 d0.2 m-1.8 v2.2 d0.1 m0.7

Sun GHA GHA Dec GHA Dec GHA Dec GHA Dec0 137◦20.0 187◦56.3 -19◦22.8 94◦24.8 17◦50.4 183◦14.2 -17◦51.1 188◦51.8 -19◦11.51 152◦22.5 202◦55.5 -19◦22.1 109◦25.9 17◦50.8 198◦16.1 -17◦51.0 203◦54.0 -19◦11.42 167◦25.0 217◦54.7 -19◦21.4 124◦27.0 17◦51.2 213◦18.0 -17◦50.8 218◦56.1 -19◦11.43 182◦27.4 232◦54.0 -19◦20.7 139◦28.1 17◦51.6 228◦19.8 -17◦50.7 233◦58.3 -19◦11.34 197◦29.9 247◦53.2 -19◦19.9 154◦29.2 17◦52.0 243◦21.7 -17◦50.5 249◦00.4 -19◦11.25 212◦32.3 262◦52.4 -19◦19.2 169◦30.3 17◦52.5 258◦23.6 -17◦50.3 264◦02.6 -19◦11.26 227◦34.8 277◦51.7 -19◦18.5 184◦31.4 17◦52.9 273◦25.4 -17◦50.2 279◦04.8 -19◦11.17 242◦37.3 292◦50.9 -19◦17.8 199◦32.5 17◦53.3 288◦27.3 -17◦50.0 294◦06.9 -19◦11.08 257◦39.7 307◦50.1 -19◦17.1 214◦33.6 17◦53.7 303◦29.2 -17◦49.9 309◦09.1 -19◦10.99 272◦42.2 322◦49.4 -19◦16.4 229◦34.7 17◦54.1 318◦31.0 -17◦49.7 324◦11.3 -19◦10.910 287◦44.7 337◦48.6 -19◦15.6 244◦35.8 17◦54.5 333◦32.9 -17◦49.5 339◦13.4 -19◦10.811 302◦47.1 352◦47.8 -19◦14.9 259◦36.9 17◦54.9 348◦34.8 -17◦49.4 354◦15.6 -19◦10.712 317◦49.6 7◦47.1 -19◦14.2 274◦38.0 17◦55.4 3◦36.6 -17◦49.2 9◦17.7 -19◦10.713 332◦52.1 22◦46.3 -19◦13.5 289◦39.1 17◦55.8 18◦38.5 -17◦49.1 24◦19.9 -19◦10.614 347◦54.5 37◦45.5 -19◦12.7 304◦40.2 17◦56.2 33◦40.4 -17◦48.9 39◦22.1 -19◦10.515 2◦57.0 52◦44.8 -19◦12.0 319◦41.2 17◦56.6 48◦42.2 -17◦48.7 54◦24.2 -19◦10.516 17◦59.5 67◦44.0 -19◦11.3 334◦42.3 17◦57.0 63◦44.1 -17◦48.6 69◦26.4 -19◦10.417 33◦01.9 82◦43.2 -19◦10.6 349◦43.4 17◦57.4 78◦46.0 -17◦48.4 84◦28.6 -19◦10.318 48◦04.4 97◦42.5 -19◦09.8 4◦44.5 17◦57.8 93◦47.8 -17◦48.3 99◦30.7 -19◦10.319 63◦06.8 112◦41.7 -19◦09.1 19◦45.6 17◦58.2 108◦49.7 -17◦48.1 114◦32.9 -19◦10.220 78◦09.3 127◦41.0 -19◦08.4 34◦46.7 17◦58.7 123◦51.6 -17◦47.9 129◦35.0 -19◦10.121 93◦11.8 142◦40.2 -19◦07.6 49◦47.8 17◦59.1 138◦53.4 -17◦47.8 144◦37.2 -19◦10.022 108◦14.2 157◦39.4 -19◦06.9 64◦48.9 17◦59.5 153◦55.3 -17◦47.6 159◦39.4 -19◦10.023 123◦16.7 172◦38.7 -19◦06.2 79◦50.0 17◦59.9 168◦57.2 -17◦47.4 174◦41.5 -19◦09.9Mer.pass.:14:48 v-0.8 d0.7 m-3.8 v1.1 d0.4 m0.6 v1.9 d0.2 m-1.8 v2.2 d0.1 m0.7

Mon GHA GHA Dec GHA Dec GHA Dec GHA Dec0 138◦19.2 187◦37.9 -19◦05.4 94◦51.1 18◦00.3 183◦59.0 -17◦47.3 189◦43.7 -19◦09.81 153◦21.6 202◦37.2 -19◦04.7 109◦52.2 18◦00.7 199◦00.9 -17◦47.1 204◦45.9 -19◦09.82 168◦24.1 217◦36.4 -19◦04.0 124◦53.3 18◦01.1 214◦02.8 -17◦47.0 219◦48.0 -19◦09.73 183◦26.6 232◦35.6 -19◦03.2 139◦54.3 18◦01.5 229◦04.6 -17◦46.8 234◦50.2 -19◦09.64 198◦29.0 247◦34.9 -19◦02.5 154◦55.4 18◦01.9 244◦06.5 -17◦46.6 249◦52.4 -19◦09.65 213◦31.5 262◦34.1 -19◦01.8 169◦56.5 18◦02.4 259◦08.3 -17◦46.5 264◦54.5 -19◦09.56 228◦34.0 277◦33.4 -19◦01.0 184◦57.6 18◦02.8 274◦10.2 -17◦46.3 279◦56.7 -19◦09.47 243◦36.4 292◦32.6 -19◦00.3 199◦58.7 18◦03.2 289◦12.1 -17◦46.2 294◦58.8 -19◦09.48 258◦38.9 307◦31.9 -18◦59.5 214◦59.8 18◦03.6 304◦13.9 -17◦46.0 310◦01.0 -19◦09.39 273◦41.3 322◦31.1 -18◦58.8 230◦00.9 18◦04.0 319◦15.8 -17◦45.8 325◦03.2 -19◦09.210 288◦43.8 337◦30.4 -18◦58.1 245◦02.0 18◦04.4 334◦17.7 -17◦45.7 340◦05.3 -19◦09.111 303◦46.3 352◦29.6 -18◦57.3 260◦03.0 18◦04.8 349◦19.5 -17◦45.5 355◦07.5 -19◦09.112 318◦48.7 7◦28.9 -18◦56.6 275◦04.1 18◦05.2 4◦21.4 -17◦45.4 10◦09.7 -19◦09.013 333◦51.2 22◦28.1 -18◦55.8 290◦05.2 18◦05.6 19◦23.3 -17◦45.2 25◦11.8 -19◦08.914 348◦53.7 37◦27.3 -18◦55.1 305◦06.3 18◦06.1 34◦25.1 -17◦45.0 40◦14.0 -19◦08.915 3◦56.1 52◦26.6 -18◦54.3 320◦07.4 18◦06.5 49◦27.0 -17◦44.9 55◦16.1 -19◦08.816 18◦58.6 67◦25.8 -18◦53.6 335◦08.5 18◦06.9 64◦28.9 -17◦44.7 70◦18.3 -19◦08.717 34◦01.1 82◦25.1 -18◦52.8 350◦09.6 18◦07.3 79◦30.7 -17◦44.6 85◦20.5 -19◦08.718 49◦03.5 97◦24.3 -18◦52.1 5◦10.7 18◦07.7 94◦32.6 -17◦44.4 100◦22.6 -19◦08.619 64◦06.0 112◦23.6 -18◦51.3 20◦11.7 18◦08.1 109◦34.5 -17◦44.2 115◦24.8 -19◦08.520 79◦08.5 127◦22.8 -18◦50.6 35◦12.8 18◦08.5 124◦36.3 -17◦44.1 130◦27.0 -19◦08.521 94◦10.9 142◦22.1 -18◦49.8 50◦13.9 18◦08.9 139◦38.2 -17◦43.9 145◦29.1 -19◦08.422 109◦13.4 157◦21.4 -18◦49.1 65◦15.0 18◦09.3 154◦40.1 -17◦43.7 160◦31.3 -19◦08.323 124◦15.8 172◦20.6 -18◦48.3 80◦16.1 18◦09.7 169◦41.9 -17◦43.6 175◦33.5 -19◦08.2Mer.pass.:14:44 v-0.8 d0.7 m-3.8 v1.1 d0.4 m0.6 v1.9 d0.2 m-1.8 v2.2 d0.1 m0.7

StarsSHA Dec

Alpheratz 357◦38.3 29◦12.4Ankaa 353◦10.6 -42◦11.8

Schedar 349◦34.9 56◦39.3Diphda 348◦50.6 -17◦52.5

Achernar 335◦22.9 -57◦08.2Hamal 327◦54.9 23◦33.7Polaris 315◦29.2 89◦21.4Akamar 315◦14.2 -40◦13.6Menkar 314◦09.5 4◦10.2Mirfak 308◦32.7 49◦56.2

Aldebaran 290◦43.1 16◦33.0Rigel 281◦06.7 -8◦10.8

Capella 280◦26.3 46◦01.2Bellatrix 278◦26.1 6◦22.0Elnath 278◦05.7 28◦37.5Alnilam 275◦40.7 -1◦11.5

Betelgeuse 270◦55.3 7◦24.5Canopus 263◦53.4 -52◦42.7

Sirius 258◦28.7 -16◦44.7Adara 255◦08.0 -29◦00.2

Procyon 244◦53.8 5◦10.3Pollux 243◦20.7 27◦58.5Avior 234◦15.3 -59◦34.7Suhail 222◦48.1 -43◦31.1

Miaplacidus 221◦37.9 -69◦48.2Alphard 217◦50.5 -8◦45.1Regulus 207◦37.5 11◦51.8Dubhe 193◦44.4 61◦38.1

Denebola 182◦27.9 14◦27.2Gienah 175◦46.6 -17◦39.5Acrux 173◦03.1 -63◦12.7

Gacrux 171◦54.7 -57◦13.6Alioth 166◦15.6 55◦50.5Spica 158◦25.5 -11◦16.2Alcaid 152◦54.4 49◦12.3Hadar 148◦40.3 -60◦28.1

Menkent 148◦01.2 -36◦28.2Arcturus 145◦50.6 19◦04.6

Rigil Kent. 139◦44.5 -60◦55.0Zubenelg. 136◦59.5 -16◦07.7Kochab 137◦19.9 74◦03.9

Alphecca 126◦06.5 26◦38.5Antares 112◦19.8 -26◦28.6

Atria 107◦17.2 -69◦03.6Sabik 102◦06.6 -15◦45.0

Shaula 96◦14.9 -37◦07.0Rasalhague 96◦01.7 12◦32.6

Etamin 90◦44.0 51◦28.9Kaus Aust. 83◦37.0 -34◦22.4

Vega 80◦35.7 38◦48.0Nunki 75◦52.0 -26◦16.2Altair 62◦03.4 8◦55.3

Peacock 53◦11.3 -56◦40.0Deneb 49◦28.4 45◦21.2

Enif 33◦42.2 9◦58.2Alnair 27◦37.4 -46◦51.7

Fomalhaut 15◦18.4 -29◦30.9Scheat 13◦48.6 28◦11.7Markab 13◦33.3 15◦19.0

2021/2/6 SHA Mer.passVenus 51◦54.0 11:28Mars 317◦37.5 17:43

Jupiter 46◦08.6 11:49Saturn 51◦39.0 11:26

2021/2/7 SHA Mer.passVenus 50◦36.2 11:29Mars 317◦04.8 17:41

Jupiter 45◦54.2 11:46Saturn 51◦31.8 11:23

2021/2/8 SHA Mer.passVenus 49◦18.8 11:30Mars 316◦31.9 17:39

Jupiter 45◦39.9 11:43Saturn 51◦24.5 11:19

Horizontal paralaxVenus: 0.1Mars: 0.1

26

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2021 February 06 to Feb. 08

h Sun MoonSat GHA Dec GHA ν Dec d HP0 176◦29.6 -15◦36.9 254◦09.8 7.5 -19◦41.8 -9.5 59.11 191◦29.5 -15◦36.1 268◦36.2 7.4 -19◦51.2 -9.4 59.12 206◦29.5 -15◦35.4 283◦02.6 7.4 -20◦00.5 -9.2 59.03 221◦29.4 -15◦34.6 297◦29.0 7.3 -20◦09.7 -9.1 59.04 236◦29.4 -15◦33.8 311◦55.2 7.2 -20◦18.7 -9.0 59.05 251◦29.4 -15◦33.1 326◦21.4 7.2 -20◦27.6 -8.9 59.06 266◦29.3 -15◦32.3 340◦47.5 7.1 -20◦36.4 -8.7 59.07 281◦29.3 -15◦31.5 355◦13.6 7.0 -20◦45.1 -8.6 59.08 296◦29.2 -15◦30.7 9◦39.6 7.0 -20◦53.7 -8.5 59.09 311◦29.2 -15◦30.0 24◦05.6 6.9 -21◦02.1 -8.3 59.010 326◦29.2 -15◦29.2 38◦31.5 6.9 -21◦10.3 -8.2 59.011 341◦29.1 -15◦28.4 52◦57.3 6.8 -21◦18.5 -8.1 59.012 356◦29.1 -15◦27.6 67◦23.1 6.7 -21◦26.5 -7.9 59.013 11◦29.0 -15◦26.9 81◦48.8 6.7 -21◦34.4 -7.8 59.014 26◦29.0 -15◦26.1 96◦14.4 6.6 -21◦42.1 -7.7 59.015 41◦29.0 -15◦25.3 110◦40.0 6.6 -21◦49.7 -7.5 58.916 56◦28.9 -15◦24.5 125◦05.6 6.5 -21◦57.2 -7.4 58.917 71◦28.9 -15◦23.7 139◦31.0 6.5 -22◦04.5 -7.3 58.918 86◦28.9 -15◦23.0 153◦56.5 6.4 -22◦11.7 -7.1 58.919 101◦28.8 -15◦22.2 168◦21.8 6.3 -22◦18.7 -7.0 58.920 116◦28.8 -15◦21.4 182◦47.2 6.3 -22◦25.6 -6.8 58.921 131◦28.8 -15◦20.6 197◦12.4 6.2 -22◦32.4 -6.7 58.922 146◦28.7 -15◦19.8 211◦37.7 6.2 -22◦39.0 -6.5 58.923 161◦28.7 -15◦19.1 226◦02.8 6.1 -22◦45.5 -6.4 58.9

SD.=16.2 d=0.8 S.D.=16.1

Sun GHA Dec GHA ν Dec d HP0 176◦28.6 -15◦18.3 240◦27.9 6.1 -22◦51.8 -6.2 58.91 191◦28.6 -15◦17.5 254◦53.0 6.1 -22◦57.9 -6.1 58.92 206◦28.6 -15◦16.7 269◦18.1 6.0 -23◦04.0 -5.9 58.83 221◦28.5 -15◦15.9 283◦43.0 6.0 -23◦09.8 -5.8 58.84 236◦28.5 -15◦15.2 298◦08.0 5.9 -23◦15.6 -5.6 58.85 251◦28.5 -15◦14.4 312◦32.9 5.9 -23◦21.1 -5.5 58.86 266◦28.4 -15◦13.6 326◦57.7 5.8 -23◦26.6 -5.3 58.87 281◦28.4 -15◦12.8 341◦22.5 5.8 -23◦31.8 -5.2 58.88 296◦28.4 -15◦12.0 355◦47.3 5.8 -23◦37.0 -5.0 58.89 311◦28.4 -15◦11.2 10◦12.1 5.7 -23◦41.9 -4.9 58.810 326◦28.3 -15◦10.5 24◦36.8 5.7 -23◦46.7 -4.7 58.811 341◦28.3 -15◦09.7 39◦01.4 5.7 -23◦51.4 -4.6 58.812 356◦28.3 -15◦08.9 53◦26.1 5.6 -23◦55.9 -4.4 58.713 11◦28.2 -15◦08.1 67◦50.7 5.6 -24◦00.2 -4.3 58.714 26◦28.2 -15◦07.3 82◦15.2 5.6 -24◦04.4 -4.1 58.715 41◦28.2 -15◦06.5 96◦39.8 5.5 -24◦08.4 -4.0 58.716 56◦28.1 -15◦05.7 111◦04.3 5.5 -24◦12.3 -3.8 58.717 71◦28.1 -15◦04.9 125◦28.8 5.5 -24◦16.0 -3.6 58.718 86◦28.1 -15◦04.1 139◦53.3 5.5 -24◦19.6 -3.5 58.719 101◦28.1 -15◦03.4 154◦17.7 5.4 -24◦23.0 -3.3 58.720 116◦28.0 -15◦02.6 168◦42.1 5.4 -24◦26.2 -3.2 58.621 131◦28.0 -15◦01.8 183◦06.5 5.4 -24◦29.3 -3.0 58.622 146◦28.0 -15◦01.0 197◦30.9 5.4 -24◦32.2 -2.8 58.623 161◦27.9 -15◦00.2 211◦55.3 5.4 -24◦35.0 -2.7 58.6

SD.=16.2 d=0.8 S.D.=16.1

Mon GHA Dec GHA ν Dec d HP0 176◦27.9 -14◦59.4 226◦19.7 5.4 -24◦37.6 -2.5 58.61 191◦27.9 -14◦58.6 240◦44.0 5.3 -24◦40.0 -2.4 58.62 206◦27.9 -14◦57.8 255◦08.4 5.3 -24◦42.3 -2.2 58.63 221◦27.8 -14◦57.0 269◦32.7 5.3 -24◦44.4 -2.0 58.64 236◦27.8 -14◦56.2 283◦57.0 5.3 -24◦46.3 -1.9 58.55 251◦27.8 -14◦55.4 298◦21.3 5.3 -24◦48.1 -1.7 58.56 266◦27.8 -14◦54.6 312◦45.7 5.3 -24◦49.7 -1.5 58.57 281◦27.7 -14◦53.8 327◦10.0 5.3 -24◦51.2 -1.4 58.58 296◦27.7 -14◦53.1 341◦34.3 5.3 -24◦52.5 -1.2 58.59 311◦27.7 -14◦52.3 355◦58.6 5.3 -24◦53.6 -1.1 58.510 326◦27.7 -14◦51.5 10◦22.9 5.3 -24◦54.6 -0.9 58.511 341◦27.6 -14◦50.7 24◦47.3 5.3 -24◦55.4 -0.7 58.412 356◦27.6 -14◦49.9 39◦11.6 5.3 -24◦56.1 -0.6 58.413 11◦27.6 -14◦49.1 53◦36.0 5.4 -24◦56.6 -0.4 58.414 26◦27.6 -14◦48.3 68◦00.3 5.4 -24◦56.9 -0.2 58.415 41◦27.6 -14◦47.5 82◦24.7 5.4 -24◦57.1 -0.1 58.416 56◦27.5 -14◦46.7 96◦49.1 5.4 -24◦57.1 0.1 58.417 71◦27.5 -14◦45.9 111◦13.5 5.4 -24◦56.9 0.2 58.418 86◦27.5 -14◦45.1 125◦37.9 5.4 -24◦56.6 0.4 58.319 101◦27.5 -14◦44.3 140◦02.4 5.5 -24◦56.1 0.6 58.320 116◦27.5 -14◦43.5 154◦26.9 5.5 -24◦55.5 0.7 58.321 131◦27.4 -14◦42.7 168◦51.4 5.5 -24◦54.7 0.9 58.322 146◦27.4 -14◦41.9 183◦15.9 5.5 -24◦53.7 1.0 58.323 161◦27.4 -14◦41.1 197◦40.4 5.6 -24◦52.6 1.2 58.3

SD.=16.2 d=0.8 S.D.=16.0

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 06:46 08:10 09:41 14:48 16:19 17:4470 06:41 07:56 09:12 15:17 16:34 17:4968 06:37 07:44 08:51 15:39 16:45 17:5366 06:33 07:35 08:34 15:55 16:55 17:5764 06:29 07:26 08:20 16:09 17:03 18:0062 06:26 07:19 08:09 16:21 17:10 18:0360 06:23 07:13 07:59 16:31 17:16 18:0658 06:21 07:07 07:50 16:39 17:22 18:0856 06:18 07:02 07:42 16:47 17:27 18:1154 06:16 06:58 07:36 16:53 17:31 18:1352 06:14 06:54 07:30 16:59 17:35 18:1550 06:12 06:50 07:24 17:05 17:39 18:1745 06:07 06:41 07:12 17:17 17:47 18:2240 06:02 06:34 07:02 17:26 17:55 18:2735 05:57 06:27 06:54 17:35 18:01 18:3130 05:53 06:21 06:46 17:42 18:07 18:3620 05:44 06:10 06:33 17:55 18:18 18:4410 05:35 05:60 06:22 18:07 18:28 18:540 05:24 05:49 06:11 18:18 18:39 19:04-10 05:12 05:38 05:60 18:29 18:50 19:16-20 04:57 05:25 05:48 18:40 19:03 19:30-30 04:38 05:09 05:34 18:54 19:19 19:49-35 04:26 04:59 05:26 19:02 19:29 20:01-40 04:11 04:47 05:17 19:11 19:40 20:16-45 03:53 04:33 05:06 19:22 19:54 20:34-50 03:29 04:16 04:53 19:35 20:11 20:58-52 03:17 04:07 04:46 19:41 20:19 21:10-54 03:02 03:58 04:40 19:47 20:29 21:24-56 02:45 03:47 04:32 19:55 20:39 21:40-58 02:24 03:35 04:23 20:03 20:51 22:01-60 01:55 03:20 04:13 20:13 21:06 22:28

Moonrise MoonsetLat. Sat Sun Mon Sat Sun Mon72 –:– –:– –:– –:– –:– –:–70 –:– –:– –:– –:– –:– –:–68 05:55 –:– –:– 08:31 –:– –:–66 05:06 07:40 –:– 09:21 08:48 –:–64 04:35 06:28 08:06 09:53 09:60 10:2662 04:11 05:53 07:17 10:17 10:36 11:1560 03:53 05:27 06:46 10:36 11:02 11:4658 03:38 05:07 06:23 10:52 11:23 12:1056 03:25 04:50 06:04 11:06 11:40 12:2954 03:13 04:36 05:48 11:17 11:54 12:4452 03:04 04:23 05:34 11:28 12:07 12:5850 02:55 04:12 05:22 11:37 12:18 13:1045 02:36 03:50 04:58 11:57 12:41 13:3540 02:21 03:32 04:38 12:13 12:60 13:5535 02:08 03:16 04:21 12:27 13:16 14:1230 01:57 03:03 04:07 12:39 13:29 14:2620 01:38 02:41 03:43 12:59 13:53 14:5010 01:22 02:22 03:22 13:17 14:13 15:110 01:06 02:04 03:03 13:33 14:32 15:31-10 00:51 01:46 02:43 13:50 14:50 15:51-20 00:35 01:27 02:22 14:08 15:11 16:12-30 00:17 01:05 01:59 14:29 15:34 16:36-35 00:06 00:52 01:45 14:41 15:48 16:50-40 –:– 00:37 01:28 14:55 16:04 17:06-45 –:– 00:20 01:09 15:11 16:23 17:26-50 23:59 –:– 00:45 15:32 16:46 17:51-52 23:48 –:– 00:33 15:42 16:58 18:02-54 23:37 –:– 00:20 15:53 17:11 18:16-56 23:24 –:– 00:05 16:05 17:26 18:32-58 23:09 23:47 –:– 16:20 17:43 18:50-60 22:51 23:25 –:– 16:37 18:05 19:13

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower6 14:02 14:04 12:14 07:19 19:48 24(31%)7 14:05 14:07 12:14 08:17 20:47 25(21%)8 14:08 14:10 12:14 09:16 21:46 26(12%)

27

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February 09, 10 ,11 (Tue., Wed., Thu.)Aries Venus Mars Jupiter Saturn

Tue GHA GHA Dec GHA Dec GHA Dec GHA Dec0 139◦18.3 187◦19.9 -18◦47.5 95◦17.2 18◦10.1 184◦43.8 -17◦43.4 190◦35.6 -19◦08.21 154◦20.8 202◦19.1 -18◦46.8 110◦18.2 18◦10.6 199◦45.7 -17◦43.3 205◦37.8 -19◦08.12 169◦23.2 217◦18.4 -18◦46.0 125◦19.3 18◦11.0 214◦47.5 -17◦43.1 220◦39.9 -19◦08.03 184◦25.7 232◦17.6 -18◦45.3 140◦20.4 18◦11.4 229◦49.4 -17◦42.9 235◦42.1 -19◦08.04 199◦28.2 247◦16.9 -18◦44.5 155◦21.5 18◦11.8 244◦51.3 -17◦42.8 250◦44.3 -19◦07.95 214◦30.6 262◦16.1 -18◦43.7 170◦22.6 18◦12.2 259◦53.1 -17◦42.6 265◦46.4 -19◦07.86 229◦33.1 277◦15.4 -18◦43.0 185◦23.6 18◦12.6 274◦55.0 -17◦42.5 280◦48.6 -19◦07.87 244◦35.6 292◦14.6 -18◦42.2 200◦24.7 18◦13.0 289◦56.9 -17◦42.3 295◦50.8 -19◦07.78 259◦38.0 307◦13.9 -18◦41.5 215◦25.8 18◦13.4 304◦58.7 -17◦42.1 310◦52.9 -19◦07.69 274◦40.5 322◦13.2 -18◦40.7 230◦26.9 18◦13.8 320◦00.6 -17◦42.0 325◦55.1 -19◦07.610 289◦43.0 337◦12.4 -18◦39.9 245◦28.0 18◦14.2 335◦02.5 -17◦41.8 340◦57.3 -19◦07.511 304◦45.4 352◦11.7 -18◦39.2 260◦29.1 18◦14.6 350◦04.3 -17◦41.7 355◦59.4 -19◦07.412 319◦47.9 7◦10.9 -18◦38.4 275◦30.1 18◦15.0 5◦06.2 -17◦41.5 11◦01.6 -19◦07.313 334◦50.3 22◦10.2 -18◦37.6 290◦31.2 18◦15.4 20◦08.1 -17◦41.3 26◦03.8 -19◦07.314 349◦52.8 37◦09.5 -18◦36.9 305◦32.3 18◦15.9 35◦10.0 -17◦41.2 41◦05.9 -19◦07.215 4◦55.3 52◦08.7 -18◦36.1 320◦33.4 18◦16.3 50◦11.8 -17◦41.0 56◦08.1 -19◦07.116 19◦57.7 67◦08.0 -18◦35.3 335◦34.4 18◦16.7 65◦13.7 -17◦40.8 71◦10.2 -19◦07.117 35◦00.2 82◦07.2 -18◦34.5 350◦35.5 18◦17.1 80◦15.6 -17◦40.7 86◦12.4 -19◦07.018 50◦02.7 97◦06.5 -18◦33.8 5◦36.6 18◦17.5 95◦17.4 -17◦40.5 101◦14.6 -19◦06.919 65◦05.1 112◦05.8 -18◦33.0 20◦37.7 18◦17.9 110◦19.3 -17◦40.4 116◦16.7 -19◦06.920 80◦07.6 127◦05.0 -18◦32.2 35◦38.8 18◦18.3 125◦21.2 -17◦40.2 131◦18.9 -19◦06.821 95◦10.1 142◦04.3 -18◦31.4 50◦39.8 18◦18.7 140◦23.0 -17◦40.0 146◦21.1 -19◦06.722 110◦12.5 157◦03.6 -18◦30.7 65◦40.9 18◦19.1 155◦24.9 -17◦39.9 161◦23.2 -19◦06.623 125◦15.0 172◦02.8 -18◦29.9 80◦42.0 18◦19.5 170◦26.8 -17◦39.7 176◦25.4 -19◦06.6Mer.pass.:14:40 v-0.7 d0.8 m-3.8 v1.1 d0.4 m0.6 v1.9 d0.2 m-1.8 v2.2 d0.1 m0.7

Wed GHA GHA Dec GHA Dec GHA Dec GHA Dec0 140◦17.4 187◦02.1 -18◦29.1 95◦43.1 18◦19.9 185◦28.6 -17◦39.6 191◦27.6 -19◦06.51 155◦19.9 202◦01.4 -18◦28.3 110◦44.1 18◦20.3 200◦30.5 -17◦39.4 206◦29.7 -19◦06.42 170◦22.4 217◦00.6 -18◦27.5 125◦45.2 18◦20.7 215◦32.4 -17◦39.2 221◦31.9 -19◦06.43 185◦24.8 231◦59.9 -18◦26.8 140◦46.3 18◦21.1 230◦34.2 -17◦39.1 236◦34.1 -19◦06.34 200◦27.3 246◦59.2 -18◦26.0 155◦47.4 18◦21.5 245◦36.1 -17◦38.9 251◦36.2 -19◦06.25 215◦29.8 261◦58.4 -18◦25.2 170◦48.4 18◦22.0 260◦38.0 -17◦38.7 266◦38.4 -19◦06.26 230◦32.2 276◦57.7 -18◦24.4 185◦49.5 18◦22.4 275◦39.8 -17◦38.6 281◦40.6 -19◦06.17 245◦34.7 291◦57.0 -18◦23.6 200◦50.6 18◦22.8 290◦41.7 -17◦38.4 296◦42.7 -19◦06.08 260◦37.2 306◦56.2 -18◦22.8 215◦51.7 18◦23.2 305◦43.6 -17◦38.3 311◦44.9 -19◦06.09 275◦39.6 321◦55.5 -18◦22.0 230◦52.7 18◦23.6 320◦45.4 -17◦38.1 326◦47.1 -19◦05.910 290◦42.1 336◦54.8 -18◦21.3 245◦53.8 18◦24.0 335◦47.3 -17◦37.9 341◦49.2 -19◦05.811 305◦44.6 351◦54.0 -18◦20.5 260◦54.9 18◦24.4 350◦49.2 -17◦37.8 356◦51.4 -19◦05.712 320◦47.0 6◦53.3 -18◦19.7 275◦56.0 18◦24.8 5◦51.0 -17◦37.6 11◦53.5 -19◦05.713 335◦49.5 21◦52.6 -18◦18.9 290◦57.0 18◦25.2 20◦52.9 -17◦37.5 26◦55.7 -19◦05.614 350◦51.9 36◦51.9 -18◦18.1 305◦58.1 18◦25.6 35◦54.8 -17◦37.3 41◦57.9 -19◦05.515 5◦54.4 51◦51.1 -18◦17.3 320◦59.2 18◦26.0 50◦56.7 -17◦37.1 57◦00.0 -19◦05.516 20◦56.9 66◦50.4 -18◦16.5 336◦00.2 18◦26.4 65◦58.5 -17◦37.0 72◦02.2 -19◦05.417 35◦59.3 81◦49.7 -18◦15.7 351◦01.3 18◦26.8 81◦00.4 -17◦36.8 87◦04.4 -19◦05.318 51◦01.8 96◦48.9 -18◦14.9 6◦02.4 18◦27.2 96◦02.3 -17◦36.6 102◦06.5 -19◦05.319 66◦04.3 111◦48.2 -18◦14.1 21◦03.5 18◦27.6 111◦04.1 -17◦36.5 117◦08.7 -19◦05.220 81◦06.7 126◦47.5 -18◦13.3 36◦04.5 18◦28.0 126◦06.0 -17◦36.3 132◦10.9 -19◦05.121 96◦09.2 141◦46.8 -18◦12.5 51◦05.6 18◦28.4 141◦07.9 -17◦36.2 147◦13.0 -19◦05.122 111◦11.7 156◦46.1 -18◦11.7 66◦06.7 18◦28.8 156◦09.7 -17◦36.0 162◦15.2 -19◦05.023 126◦14.1 171◦45.3 -18◦10.9 81◦07.7 18◦29.2 171◦11.6 -17◦35.8 177◦17.4 -19◦04.9Mer.pass.:14:36 v-0.7 d0.8 m-3.8 v1.1 d0.4 m0.6 v1.9 d0.2 m-1.8 v2.2 d0.1 m0.7

Thu GHA GHA Dec GHA Dec GHA Dec GHA Dec0 141◦16.6 186◦44.6 -18◦10.1 96◦08.8 18◦29.6 186◦13.5 -17◦35.7 192◦19.5 -19◦04.81 156◦19.1 201◦43.9 -18◦09.3 111◦09.9 18◦30.0 201◦15.3 -17◦35.5 207◦21.7 -19◦04.82 171◦21.5 216◦43.2 -18◦08.5 126◦10.9 18◦30.4 216◦17.2 -17◦35.3 222◦23.9 -19◦04.73 186◦24.0 231◦42.4 -18◦07.7 141◦12.0 18◦30.8 231◦19.1 -17◦35.2 237◦26.0 -19◦04.64 201◦26.4 246◦41.7 -18◦06.9 156◦13.1 18◦31.2 246◦20.9 -17◦35.0 252◦28.2 -19◦04.65 216◦28.9 261◦41.0 -18◦06.1 171◦14.2 18◦31.6 261◦22.8 -17◦34.9 267◦30.4 -19◦04.56 231◦31.4 276◦40.3 -18◦05.3 186◦15.2 18◦32.0 276◦24.7 -17◦34.7 282◦32.5 -19◦04.47 246◦33.8 291◦39.6 -18◦04.5 201◦16.3 18◦32.4 291◦26.6 -17◦34.5 297◦34.7 -19◦04.48 261◦36.3 306◦38.8 -18◦03.7 216◦17.4 18◦32.8 306◦28.4 -17◦34.4 312◦36.9 -19◦04.39 276◦38.8 321◦38.1 -18◦02.9 231◦18.4 18◦33.3 321◦30.3 -17◦34.2 327◦39.0 -19◦04.210 291◦41.2 336◦37.4 -18◦02.1 246◦19.5 18◦33.7 336◦32.2 -17◦34.0 342◦41.2 -19◦04.211 306◦43.7 351◦36.7 -18◦01.3 261◦20.6 18◦34.1 351◦34.0 -17◦33.9 357◦43.4 -19◦04.112 321◦46.2 6◦36.0 -18◦00.4 276◦21.6 18◦34.5 6◦35.9 -17◦33.7 12◦45.5 -19◦04.013 336◦48.6 21◦35.3 -17◦59.6 291◦22.7 18◦34.9 21◦37.8 -17◦33.6 27◦47.7 -19◦03.914 351◦51.1 36◦34.5 -17◦58.8 306◦23.7 18◦35.3 36◦39.6 -17◦33.4 42◦49.9 -19◦03.915 6◦53.6 51◦33.8 -17◦58.0 321◦24.8 18◦35.7 51◦41.5 -17◦33.2 57◦52.0 -19◦03.816 21◦56.0 66◦33.1 -17◦57.2 336◦25.9 18◦36.1 66◦43.4 -17◦33.1 72◦54.2 -19◦03.717 36◦58.5 81◦32.4 -17◦56.4 351◦26.9 18◦36.5 81◦45.2 -17◦32.9 87◦56.4 -19◦03.718 52◦00.9 96◦31.7 -17◦55.6 6◦28.0 18◦36.9 96◦47.1 -17◦32.8 102◦58.5 -19◦03.619 67◦03.4 111◦31.0 -17◦54.7 21◦29.1 18◦37.3 111◦49.0 -17◦32.6 118◦00.7 -19◦03.520 82◦05.9 126◦30.3 -17◦53.9 36◦30.1 18◦37.7 126◦50.9 -17◦32.4 133◦02.9 -19◦03.521 97◦08.3 141◦29.6 -17◦53.1 51◦31.2 18◦38.1 141◦52.7 -17◦32.3 148◦05.0 -19◦03.422 112◦10.8 156◦28.8 -17◦52.3 66◦32.3 18◦38.5 156◦54.6 -17◦32.1 163◦07.2 -19◦03.323 127◦13.3 171◦28.1 -17◦51.5 81◦33.3 18◦38.9 171◦56.5 -17◦31.9 178◦09.4 -19◦03.3Mer.pass.:14:32 v-0.7 d0.8 m-3.8 v1.1 d0.4 m0.6 v1.9 d0.2 m-1.8 v2.2 d0.1 m0.7

StarsSHA Dec

Alpheratz 357◦38.3 29◦12.4Ankaa 353◦10.6 -42◦11.8

Schedar 349◦34.9 56◦39.2Diphda 348◦50.6 -17◦52.5

Achernar 335◦22.9 -57◦08.2Hamal 327◦54.9 23◦33.7Polaris 315◦30.4 89◦21.4Akamar 315◦14.2 -40◦13.6Menkar 314◦09.5 4◦10.2Mirfak 308◦32.7 49◦56.2

Aldebaran 290◦43.1 16◦33.0Rigel 281◦06.7 -8◦10.9

Capella 280◦26.3 46◦01.2Bellatrix 278◦26.1 6◦22.0Elnath 278◦05.7 28◦37.5Alnilam 275◦40.8 -1◦11.5

Betelgeuse 270◦55.3 7◦24.5Canopus 263◦53.4 -52◦42.7

Sirius 258◦28.7 -16◦44.7Adara 255◦08.0 -29◦00.2

Procyon 244◦53.8 5◦10.3Pollux 243◦20.7 27◦58.5Avior 234◦15.3 -59◦34.7Suhail 222◦48.1 -43◦31.1

Miaplacidus 221◦37.9 -69◦48.2Alphard 217◦50.5 -8◦45.1Regulus 207◦37.5 11◦51.8Dubhe 193◦44.4 61◦38.1

Denebola 182◦27.9 14◦27.2Gienah 175◦46.6 -17◦39.5Acrux 173◦03.0 -63◦12.7

Gacrux 171◦54.7 -57◦13.6Alioth 166◦15.6 55◦50.5Spica 158◦25.5 -11◦16.2Alcaid 152◦54.4 49◦12.3Hadar 148◦40.2 -60◦28.1

Menkent 148◦01.2 -36◦28.2Arcturus 145◦50.6 19◦04.5

Rigil Kent. 139◦44.5 -60◦55.0Zubenelg. 136◦59.5 -16◦07.7Kochab 137◦19.8 74◦03.9

Alphecca 126◦06.5 26◦38.5Antares 112◦19.8 -26◦28.6

Atria 107◦17.1 -69◦03.6Sabik 102◦06.6 -15◦45.0

Shaula 96◦14.9 -37◦07.0Rasalhague 96◦01.7 12◦32.6

Etamin 90◦44.0 51◦28.9Kaus Aust. 83◦37.0 -34◦22.4

Vega 80◦35.7 38◦48.0Nunki 75◦52.0 -26◦16.2Altair 62◦03.4 8◦55.3

Peacock 53◦11.3 -56◦40.0Deneb 49◦28.4 45◦21.2

Enif 33◦42.2 9◦58.2Alnair 27◦37.4 -46◦51.7

Fomalhaut 15◦18.4 -29◦30.8Scheat 13◦48.6 28◦11.7Markab 13◦33.3 15◦19.0

2021/2/9 SHA Mer.passVenus 48◦01.5 11:31Mars 315◦58.8 17:38

Jupiter 45◦25.5 11:40Saturn 51◦17.3 11:16

2021/2/1 SHA Mer.passVenus 46◦44.6 11:32Mars 315◦25.6 17:36

Jupiter 45◦11.2 11:37Saturn 51◦10.1 11:13

2021/2/1 SHA Mer.passVenus 45◦28.0 11:34Mars 314◦52.2 17:34

Jupiter 44◦56.9 11:34Saturn 51◦02.9 11:09

Horizontal paralaxVenus: 0.1Mars: 0.1

28

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2021 February 09 to Feb. 11

h Sun MoonTue GHA Dec GHA ν Dec d HP0 176◦27.4 -14◦40.3 212◦05.0 5.6 -24◦51.3 1.4 58.21 191◦27.4 -14◦39.5 226◦29.6 5.6 -24◦49.8 1.5 58.22 206◦27.3 -14◦38.7 240◦54.3 5.7 -24◦48.2 1.7 58.23 221◦27.3 -14◦37.9 255◦19.0 5.7 -24◦46.5 1.8 58.24 236◦27.3 -14◦37.1 269◦43.7 5.7 -24◦44.6 2.0 58.25 251◦27.3 -14◦36.2 284◦08.5 5.8 -24◦42.5 2.1 58.26 266◦27.3 -14◦35.4 298◦33.3 5.8 -24◦40.3 2.3 58.17 281◦27.3 -14◦34.6 312◦58.1 5.9 -24◦37.9 2.5 58.18 296◦27.2 -14◦33.8 327◦23.0 5.9 -24◦35.4 2.6 58.19 311◦27.2 -14◦33.0 341◦48.0 6.0 -24◦32.7 2.8 58.110 326◦27.2 -14◦32.2 356◦12.9 6.0 -24◦29.8 2.9 58.111 341◦27.2 -14◦31.4 10◦38.0 6.1 -24◦26.8 3.1 58.112 356◦27.2 -14◦30.6 25◦03.1 6.1 -24◦23.7 3.2 58.013 11◦27.2 -14◦29.8 39◦28.2 6.2 -24◦20.4 3.4 58.014 26◦27.2 -14◦29.0 53◦53.4 6.2 -24◦16.9 3.5 58.015 41◦27.1 -14◦28.2 68◦18.6 6.3 -24◦13.3 3.7 58.016 56◦27.1 -14◦27.4 82◦43.9 6.3 -24◦09.6 3.8 58.017 71◦27.1 -14◦26.6 97◦09.3 6.4 -24◦05.7 4.0 57.918 86◦27.1 -14◦25.7 111◦34.7 6.5 -24◦01.7 4.1 57.919 101◦27.1 -14◦24.9 126◦00.2 6.5 -23◦57.5 4.3 57.920 116◦27.1 -14◦24.1 140◦25.8 6.6 -23◦53.1 4.4 57.921 131◦27.1 -14◦23.3 154◦51.4 6.6 -23◦48.7 4.6 57.922 146◦27.1 -14◦22.5 169◦17.0 6.7 -23◦44.0 4.7 57.923 161◦27.0 -14◦21.7 183◦42.8 6.8 -23◦39.3 4.8 57.8

SD.=16.2 d=0.8 S.D.=15.9

Wed GHA Dec GHA ν Dec d HP0 176◦27.0 -14◦20.9 198◦08.6 6.8 -23◦34.4 5.0 57.81 191◦27.0 -14◦20.1 212◦34.5 6.9 -23◦29.3 5.1 57.82 206◦27.0 -14◦19.3 227◦00.4 7.0 -23◦24.1 5.3 57.83 221◦27.0 -14◦18.4 241◦26.4 7.1 -23◦18.8 5.4 57.84 236◦27.0 -14◦17.6 255◦52.5 7.1 -23◦13.3 5.5 57.75 251◦27.0 -14◦16.8 270◦18.7 7.2 -23◦07.7 5.7 57.76 266◦27.0 -14◦16.0 284◦44.9 7.3 -23◦02.0 5.8 57.77 281◦27.0 -14◦15.2 299◦11.3 7.4 -22◦56.1 5.9 57.78 296◦27.0 -14◦14.4 313◦37.7 7.4 -22◦50.1 6.1 57.79 311◦27.0 -14◦13.5 328◦04.1 7.5 -22◦44.0 6.2 57.610 326◦26.9 -14◦12.7 342◦30.7 7.6 -22◦37.8 6.3 57.611 341◦26.9 -14◦11.9 356◦57.3 7.7 -22◦31.4 6.5 57.612 356◦26.9 -14◦11.1 11◦24.0 7.7 -22◦24.9 6.6 57.613 11◦26.9 -14◦10.3 25◦50.8 7.8 -22◦18.2 6.7 57.614 26◦26.9 -14◦09.5 40◦17.7 7.9 -22◦11.4 6.8 57.515 41◦26.9 -14◦08.6 54◦44.6 8.0 -22◦04.5 7.0 57.516 56◦26.9 -14◦07.8 69◦11.7 8.1 -21◦57.5 7.1 57.517 71◦26.9 -14◦07.0 83◦38.8 8.2 -21◦50.4 7.2 57.518 86◦26.9 -14◦06.2 98◦06.0 8.2 -21◦43.1 7.3 57.419 101◦26.9 -14◦05.4 112◦33.3 8.3 -21◦35.8 7.4 57.420 116◦26.9 -14◦04.5 127◦00.7 8.4 -21◦28.3 7.6 57.421 131◦26.9 -14◦03.7 141◦28.1 8.5 -21◦20.6 7.7 57.422 146◦26.9 -14◦02.9 155◦55.7 8.6 -21◦12.9 7.8 57.423 161◦26.9 -14◦02.1 170◦23.3 8.7 -21◦05.1 7.9 57.3

SD.=16.2 d=0.8 S.D.=15.8

Thu GHA Dec GHA ν Dec d HP0 176◦26.9 -14◦01.3 184◦51.0 8.8 -20◦57.1 8.0 57.31 191◦26.9 -14◦00.4 199◦18.8 8.9 -20◦49.1 8.1 57.32 206◦26.9 -13◦59.6 213◦46.7 8.9 -20◦40.9 8.2 57.33 221◦26.9 -13◦58.8 228◦14.7 9.0 -20◦32.6 8.3 57.24 236◦26.9 -13◦58.0 242◦42.8 9.1 -20◦24.2 8.4 57.25 251◦26.9 -13◦57.1 257◦11.0 9.2 -20◦15.7 8.6 57.26 266◦26.9 -13◦56.3 271◦39.2 9.3 -20◦07.1 8.7 57.27 281◦26.9 -13◦55.5 286◦07.6 9.4 -19◦58.4 8.8 57.28 296◦26.9 -13◦54.7 300◦36.0 9.5 -19◦49.6 8.9 57.19 311◦26.9 -13◦53.8 315◦04.5 9.6 -19◦40.7 9.0 57.110 326◦26.9 -13◦53.0 329◦33.1 9.7 -19◦31.7 9.1 57.111 341◦26.9 -13◦52.2 344◦01.8 9.7 -19◦22.6 9.2 57.112 356◦26.9 -13◦51.4 358◦30.6 9.8 -19◦13.4 9.3 57.013 11◦26.9 -13◦50.5 12◦59.5 9.9 -19◦04.1 9.3 57.014 26◦26.9 -13◦49.7 27◦28.5 10.0 -18◦54.7 9.4 57.015 41◦26.9 -13◦48.9 41◦57.6 10.1 -18◦45.2 9.5 57.016 56◦26.9 -13◦48.0 56◦26.7 10.2 -18◦35.6 9.6 56.917 71◦26.9 -13◦47.2 70◦56.0 10.3 -18◦25.9 9.7 56.918 86◦26.9 -13◦46.4 85◦25.3 10.4 -18◦16.2 9.8 56.919 101◦26.9 -13◦45.6 99◦54.7 10.5 -18◦06.3 9.9 56.920 116◦26.9 -13◦44.7 114◦24.2 10.6 -17◦56.4 10.0 56.921 131◦26.9 -13◦43.9 128◦53.8 10.6 -17◦46.4 10.1 56.822 146◦26.9 -13◦43.1 143◦23.5 10.7 -17◦36.3 10.1 56.823 161◦26.9 -13◦42.2 157◦53.3 10.8 -17◦26.1 10.2 56.8

SD.=16.2 d=0.8 S.D.=15.6

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 06:34 07:57 09:22 15:08 16:33 17:5670 06:31 07:44 08:57 15:33 16:46 17:6068 06:27 07:34 08:38 15:52 16:56 18:0366 06:24 07:25 08:23 16:07 17:04 18:0664 06:22 07:18 08:11 16:19 17:12 18:0862 06:19 07:12 07:60 16:29 17:18 18:1160 06:17 07:06 07:51 16:38 17:23 18:1358 06:15 07:01 07:43 16:46 17:28 18:1556 06:13 06:57 07:36 16:53 17:33 18:1754 06:11 06:52 07:30 16:59 17:37 18:1952 06:09 06:49 07:24 17:05 17:40 18:2050 06:07 06:45 07:19 17:10 17:44 18:2245 06:03 06:38 07:08 17:21 17:51 18:2640 05:59 06:31 06:59 17:30 17:58 18:3035 05:55 06:25 06:51 17:38 18:04 18:3430 05:51 06:19 06:44 17:45 18:09 18:3820 05:43 06:09 06:32 17:57 18:20 18:4610 05:34 05:59 06:21 18:08 18:29 18:540 05:25 05:49 06:11 18:18 18:39 19:04-10 05:13 05:39 06:00 18:28 18:50 19:15-20 04:59 05:26 05:49 18:39 19:02 19:29-30 04:41 05:11 05:36 18:52 19:17 19:47-35 04:30 05:02 05:29 18:59 19:26 19:58-40 04:16 04:51 05:20 19:07 19:36 20:12-45 03:58 04:38 05:10 19:17 19:49 20:29-50 03:36 04:22 04:58 19:29 20:05 20:51-52 03:24 04:14 04:52 19:35 20:13 21:02-54 03:11 04:05 04:46 19:41 20:22 21:15-56 02:56 03:55 04:39 19:48 20:32 21:30-58 02:37 03:43 04:31 19:56 20:43 21:49-60 02:12 03:30 04:22 20:05 20:56 22:12

Moonrise MoonsetLat. Tue Wed Thu Tue Wed Thu72 –:– –:– –:– –:– –:– –:–70 –:– –:– 11:09 –:– –:– 13:1968 –:– –:– 10:10 –:– –:– 14:1766 –:– 09:52 09:35 –:– 12:43 14:5164 08:54 09:07 09:10 11:41 13:27 15:1562 08:11 08:37 08:50 12:25 13:56 15:3460 07:42 08:15 08:34 12:54 14:19 15:5058 07:19 07:56 08:20 13:16 14:36 16:0356 07:01 07:41 08:08 13:34 14:51 16:1454 06:45 07:28 07:58 13:49 15:04 16:2452 06:32 07:16 07:48 14:02 15:16 16:3350 06:20 07:06 07:40 14:14 15:26 16:4145 05:56 06:44 07:22 14:38 15:47 16:5840 05:36 06:26 07:07 14:57 16:04 17:1135 05:20 06:11 06:55 15:13 16:18 17:2330 05:06 05:58 06:44 15:27 16:30 17:3320 04:42 05:36 06:25 15:50 16:51 17:5010 04:21 05:17 06:09 16:11 17:09 18:050 04:02 04:59 05:54 16:30 17:26 18:18-10 03:42 04:41 05:38 16:48 17:43 18:32-20 03:22 04:22 05:22 17:09 18:00 18:47-30 02:58 03:60 05:03 17:32 18:21 19:03-35 02:43 03:47 04:52 17:45 18:33 19:13-40 02:27 03:32 04:39 18:01 18:46 19:24-45 02:08 03:14 04:24 18:19 19:02 19:37-50 01:43 02:51 04:05 18:42 19:22 19:52-52 01:31 02:40 03:56 18:53 19:31 19:59-54 01:18 02:28 03:46 19:06 19:42 20:07-56 01:02 02:14 03:35 19:20 19:53 20:16-58 00:44 01:58 03:22 19:37 20:07 20:26-60 00:21 01:38 03:07 19:57 20:23 20:38

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower9 14:10 14:11 12:14 10:15 22:44 27(6%)10 14:12 14:12 12:14 11:12 23:39 28(2%)11 14:12 14:12 12:14 12:06 00:31 29(0%)

29

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February 12, 13 ,14 (Fri., Sat., Sun.)Aries Venus Mars Jupiter Saturn

Fri GHA GHA Dec GHA Dec GHA Dec GHA Dec0 142◦15.7 186◦27.4 -17◦50.6 96◦34.4 18◦39.3 186◦58.3 -17◦31.8 193◦11.5 -19◦03.21 157◦18.2 201◦26.7 -17◦49.8 111◦35.4 18◦39.7 202◦00.2 -17◦31.6 208◦13.7 -19◦03.12 172◦20.7 216◦26.0 -17◦49.0 126◦36.5 18◦40.1 217◦02.1 -17◦31.5 223◦15.9 -19◦03.03 187◦23.1 231◦25.3 -17◦48.2 141◦37.6 18◦40.5 232◦03.9 -17◦31.3 238◦18.0 -19◦03.04 202◦25.6 246◦24.6 -17◦47.3 156◦38.6 18◦40.9 247◦05.8 -17◦31.1 253◦20.2 -19◦02.95 217◦28.0 261◦23.9 -17◦46.5 171◦39.7 18◦41.3 262◦07.7 -17◦31.0 268◦22.4 -19◦02.86 232◦30.5 276◦23.2 -17◦45.7 186◦40.8 18◦41.7 277◦09.6 -17◦30.8 283◦24.5 -19◦02.87 247◦33.0 291◦22.5 -17◦44.8 201◦41.8 18◦42.1 292◦11.4 -17◦30.6 298◦26.7 -19◦02.78 262◦35.4 306◦21.8 -17◦44.0 216◦42.9 18◦42.5 307◦13.3 -17◦30.5 313◦28.9 -19◦02.69 277◦37.9 321◦21.1 -17◦43.2 231◦43.9 18◦42.9 322◦15.2 -17◦30.3 328◦31.0 -19◦02.610 292◦40.4 336◦20.3 -17◦42.4 246◦45.0 18◦43.3 337◦17.0 -17◦30.1 343◦33.2 -19◦02.511 307◦42.8 351◦19.6 -17◦41.5 261◦46.1 18◦43.7 352◦18.9 -17◦30.0 358◦35.4 -19◦02.412 322◦45.3 6◦18.9 -17◦40.7 276◦47.1 18◦44.1 7◦20.8 -17◦29.8 13◦37.5 -19◦02.413 337◦47.8 21◦18.2 -17◦39.9 291◦48.2 18◦44.4 22◦22.6 -17◦29.7 28◦39.7 -19◦02.314 352◦50.2 36◦17.5 -17◦39.0 306◦49.2 18◦44.8 37◦24.5 -17◦29.5 43◦41.9 -19◦02.215 7◦52.7 51◦16.8 -17◦38.2 321◦50.3 18◦45.2 52◦26.4 -17◦29.3 58◦44.0 -19◦02.116 22◦55.2 66◦16.1 -17◦37.3 336◦51.3 18◦45.6 67◦28.3 -17◦29.2 73◦46.2 -19◦02.117 37◦57.6 81◦15.4 -17◦36.5 351◦52.4 18◦46.0 82◦30.1 -17◦29.0 88◦48.4 -19◦02.018 53◦00.1 96◦14.7 -17◦35.7 6◦53.5 18◦46.4 97◦32.0 -17◦28.8 103◦50.5 -19◦01.919 68◦02.5 111◦14.0 -17◦34.8 21◦54.5 18◦46.8 112◦33.9 -17◦28.7 118◦52.7 -19◦01.920 83◦05.0 126◦13.3 -17◦34.0 36◦55.6 18◦47.2 127◦35.7 -17◦28.5 133◦54.9 -19◦01.821 98◦07.5 141◦12.6 -17◦33.2 51◦56.6 18◦47.6 142◦37.6 -17◦28.4 148◦57.0 -19◦01.722 113◦09.9 156◦11.9 -17◦32.3 66◦57.7 18◦48.0 157◦39.5 -17◦28.2 163◦59.2 -19◦01.723 128◦12.4 171◦11.2 -17◦31.5 81◦58.7 18◦48.4 172◦41.4 -17◦28.0 179◦01.4 -19◦01.6Mer.pass.:14:28 v-0.7 d0.8 m-3.8 v1.1 d0.4 m0.7 v1.9 d0.2 m-1.8 v2.2 d0.1 m0.7

Sat GHA GHA Dec GHA Dec GHA Dec GHA Dec0 143◦14.9 186◦10.5 -17◦30.6 96◦59.8 18◦48.8 187◦43.2 -17◦27.9 194◦03.5 -19◦01.51 158◦17.3 201◦09.8 -17◦29.8 112◦00.8 18◦49.2 202◦45.1 -17◦27.7 209◦05.7 -19◦01.52 173◦19.8 216◦09.1 -17◦28.9 127◦01.9 18◦49.6 217◦47.0 -17◦27.5 224◦07.9 -19◦01.43 188◦22.3 231◦08.4 -17◦28.1 142◦03.0 18◦50.0 232◦48.8 -17◦27.4 239◦10.0 -19◦01.34 203◦24.7 246◦07.7 -17◦27.2 157◦04.0 18◦50.4 247◦50.7 -17◦27.2 254◦12.2 -19◦01.35 218◦27.2 261◦07.0 -17◦26.4 172◦05.1 18◦50.8 262◦52.6 -17◦27.1 269◦14.4 -19◦01.26 233◦29.7 276◦06.4 -17◦25.5 187◦06.1 18◦51.2 277◦54.5 -17◦26.9 284◦16.5 -19◦01.17 248◦32.1 291◦05.7 -17◦24.7 202◦07.2 18◦51.6 292◦56.3 -17◦26.7 299◦18.7 -19◦01.08 263◦34.6 306◦05.0 -17◦23.8 217◦08.2 18◦52.0 307◦58.2 -17◦26.6 314◦20.9 -19◦01.09 278◦37.0 321◦04.3 -17◦23.0 232◦09.3 18◦52.4 323◦00.1 -17◦26.4 329◦23.0 -19◦00.910 293◦39.5 336◦03.6 -17◦22.1 247◦10.3 18◦52.8 338◦01.9 -17◦26.2 344◦25.2 -19◦00.811 308◦42.0 351◦02.9 -17◦21.3 262◦11.4 18◦53.2 353◦03.8 -17◦26.1 359◦27.4 -19◦00.812 323◦44.4 6◦02.2 -17◦20.4 277◦12.4 18◦53.6 8◦05.7 -17◦25.9 14◦29.6 -19◦00.713 338◦46.9 21◦01.5 -17◦19.6 292◦13.5 18◦54.0 23◦07.6 -17◦25.8 29◦31.7 -19◦00.614 353◦49.4 36◦00.8 -17◦18.7 307◦14.5 18◦54.4 38◦09.4 -17◦25.6 44◦33.9 -19◦00.615 8◦51.8 51◦00.1 -17◦17.9 322◦15.6 18◦54.8 53◦11.3 -17◦25.4 59◦36.1 -19◦00.516 23◦54.3 65◦59.4 -17◦17.0 337◦16.6 18◦55.1 68◦13.2 -17◦25.3 74◦38.2 -19◦00.417 38◦56.8 80◦58.7 -17◦16.1 352◦17.7 18◦55.5 83◦15.0 -17◦25.1 89◦40.4 -19◦00.418 53◦59.2 95◦58.1 -17◦15.3 7◦18.7 18◦55.9 98◦16.9 -17◦24.9 104◦42.6 -19◦00.319 69◦01.7 110◦57.4 -17◦14.4 22◦19.8 18◦56.3 113◦18.8 -17◦24.8 119◦44.7 -19◦00.220 84◦04.1 125◦56.7 -17◦13.6 37◦20.8 18◦56.7 128◦20.7 -17◦24.6 134◦46.9 -19◦00.121 99◦06.6 140◦56.0 -17◦12.7 52◦21.9 18◦57.1 143◦22.5 -17◦24.4 149◦49.1 -19◦00.122 114◦09.1 155◦55.3 -17◦11.8 67◦22.9 18◦57.5 158◦24.4 -17◦24.3 164◦51.2 -19◦00.023 129◦11.5 170◦54.6 -17◦11.0 82◦24.0 18◦57.9 173◦26.3 -17◦24.1 179◦53.4 -18◦59.9Mer.pass.:14:24 v-0.7 d0.8 m-3.8 v1.1 d0.4 m0.7 v1.9 d0.2 m-1.8 v2.2 d0.1 m0.7

Sun GHA GHA Dec GHA Dec GHA Dec GHA Dec0 144◦14.0 185◦53.9 -17◦10.1 97◦25.0 18◦58.3 188◦28.2 -17◦24.0 194◦55.6 -18◦59.91 159◦16.5 200◦53.3 -17◦09.3 112◦26.1 18◦58.7 203◦30.0 -17◦23.8 209◦57.7 -18◦59.82 174◦18.9 215◦52.6 -17◦08.4 127◦27.1 18◦59.1 218◦31.9 -17◦23.6 224◦59.9 -18◦59.73 189◦21.4 230◦51.9 -17◦07.5 142◦28.2 18◦59.5 233◦33.8 -17◦23.5 240◦02.1 -18◦59.74 204◦23.9 245◦51.2 -17◦06.7 157◦29.2 18◦59.9 248◦35.6 -17◦23.3 255◦04.3 -18◦59.65 219◦26.3 260◦50.5 -17◦05.8 172◦30.3 19◦00.3 263◦37.5 -17◦23.1 270◦06.4 -18◦59.56 234◦28.8 275◦49.8 -17◦04.9 187◦31.3 19◦00.7 278◦39.4 -17◦23.0 285◦08.6 -18◦59.57 249◦31.3 290◦49.2 -17◦04.0 202◦32.4 19◦01.0 293◦41.3 -17◦22.8 300◦10.8 -18◦59.48 264◦33.7 305◦48.5 -17◦03.2 217◦33.4 19◦01.4 308◦43.1 -17◦22.6 315◦12.9 -18◦59.39 279◦36.2 320◦47.8 -17◦02.3 232◦34.5 19◦01.8 323◦45.0 -17◦22.5 330◦15.1 -18◦59.210 294◦38.6 335◦47.1 -17◦01.4 247◦35.5 19◦02.2 338◦46.9 -17◦22.3 345◦17.3 -18◦59.211 309◦41.1 350◦46.4 -17◦00.6 262◦36.6 19◦02.6 353◦48.8 -17◦22.2 0◦19.4 -18◦59.112 324◦43.6 5◦45.8 -16◦59.7 277◦37.6 19◦03.0 8◦50.6 -17◦22.0 15◦21.6 -18◦59.013 339◦46.0 20◦45.1 -16◦58.8 292◦38.6 19◦03.4 23◦52.5 -17◦21.8 30◦23.8 -18◦59.014 354◦48.5 35◦44.4 -16◦57.9 307◦39.7 19◦03.8 38◦54.4 -17◦21.7 45◦25.9 -18◦58.915 9◦51.0 50◦43.7 -16◦57.1 322◦40.7 19◦04.2 53◦56.2 -17◦21.5 60◦28.1 -18◦58.816 24◦53.4 65◦43.0 -16◦56.2 337◦41.8 19◦04.6 68◦58.1 -17◦21.3 75◦30.3 -18◦58.817 39◦55.9 80◦42.4 -16◦55.3 352◦42.8 19◦05.0 83◦60.0 -17◦21.2 90◦32.5 -18◦58.718 54◦58.4 95◦41.7 -16◦54.4 7◦43.9 19◦05.4 99◦01.9 -17◦21.0 105◦34.6 -18◦58.619 70◦00.8 110◦41.0 -16◦53.5 22◦44.9 19◦05.7 114◦03.7 -17◦20.8 120◦36.8 -18◦58.620 85◦03.3 125◦40.3 -16◦52.7 37◦46.0 19◦06.1 129◦05.6 -17◦20.7 135◦39.0 -18◦58.521 100◦05.7 140◦39.7 -16◦51.8 52◦47.0 19◦06.5 144◦07.5 -17◦20.5 150◦41.1 -18◦58.422 115◦08.2 155◦39.0 -16◦50.9 67◦48.0 19◦06.9 159◦09.4 -17◦20.4 165◦43.3 -18◦58.423 130◦10.7 170◦38.3 -16◦50.0 82◦49.1 19◦07.3 174◦11.2 -17◦20.2 180◦45.5 -18◦58.3Mer.pass.:14:20 v-0.7 d0.9 m-3.8 v1.0 d0.4 m0.7 v1.9 d0.2 m-1.8 v2.2 d0.1 m0.7

StarsSHA Dec

Alpheratz 357◦38.3 29◦12.4Ankaa 353◦10.6 -42◦11.8

Schedar 349◦34.9 56◦39.2Diphda 348◦50.6 -17◦52.5

Achernar 335◦22.9 -57◦08.2Hamal 327◦54.9 23◦33.7Polaris 315◦32.0 89◦21.4Akamar 315◦14.3 -40◦13.6Menkar 314◦09.5 4◦10.2Mirfak 308◦32.7 49◦56.2

Aldebaran 290◦43.1 16◦33.0Rigel 281◦06.7 -8◦10.9

Capella 280◦26.3 46◦01.3Bellatrix 278◦26.1 6◦22.0Elnath 278◦05.7 28◦37.5Alnilam 275◦40.8 -1◦11.5

Betelgeuse 270◦55.3 7◦24.5Canopus 263◦53.4 -52◦42.7

Sirius 258◦28.7 -16◦44.7Adara 255◦08.0 -29◦00.3

Procyon 244◦53.8 5◦10.3Pollux 243◦20.7 27◦58.5Avior 234◦15.3 -59◦34.7Suhail 222◦48.1 -43◦31.1

Miaplacidus 221◦37.9 -69◦48.2Alphard 217◦50.5 -8◦45.1Regulus 207◦37.4 11◦51.8Dubhe 193◦44.4 61◦38.1

Denebola 182◦27.8 14◦27.2Gienah 175◦46.5 -17◦39.5Acrux 173◦03.0 -63◦12.7

Gacrux 171◦54.7 -57◦13.6Alioth 166◦15.5 55◦50.5Spica 158◦25.5 -11◦16.2Alcaid 152◦54.4 49◦12.3Hadar 148◦40.2 -60◦28.2

Menkent 148◦01.2 -36◦28.2Arcturus 145◦50.6 19◦04.5

Rigil Kent. 139◦44.4 -60◦55.0Zubenelg. 136◦59.5 -16◦07.7Kochab 137◦19.7 74◦03.9

Alphecca 126◦06.5 26◦38.5Antares 112◦19.8 -26◦28.6

Atria 107◦17.1 -69◦03.6Sabik 102◦06.5 -15◦45.0

Shaula 96◦14.9 -37◦07.0Rasalhague 96◦01.7 12◦32.6

Etamin 90◦44.0 51◦28.9Kaus Aust. 83◦37.0 -34◦22.4

Vega 80◦35.7 38◦48.0Nunki 75◦52.0 -26◦16.2Altair 62◦03.4 8◦55.3

Peacock 53◦11.3 -56◦40.0Deneb 49◦28.4 45◦21.2

Enif 33◦42.2 9◦58.2Alnair 27◦37.4 -46◦51.7

Fomalhaut 15◦18.4 -29◦30.8Scheat 13◦48.6 28◦11.7Markab 13◦33.3 15◦19.0

2021/2/1 SHA Mer.passVenus 44◦11.7 11:35Mars 314◦18.7 17:32

Jupiter 44◦42.6 11:31Saturn 50◦55.8 11:06

2021/2/1 SHA Mer.passVenus 42◦55.7 11:36Mars 313◦44.9 17:31

Jupiter 44◦28.4 11:28Saturn 50◦48.7 11:02

2021/2/1 SHA Mer.passVenus 41◦39.9 11:37Mars 313◦11.0 17:29

Jupiter 44◦14.1 11:25Saturn 50◦41.6 10:59

Horizontal paralaxVenus: 0.1Mars: 0.1

30

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2021 February 12 to Feb. 14

h Sun MoonFri GHA Dec GHA ν Dec d HP0 176◦26.9 -13◦41.4 172◦23.2 10.9 -17◦15.9 10.3 56.81 191◦26.9 -13◦40.6 186◦53.1 11.0 -17◦05.5 10.4 56.72 206◦26.9 -13◦39.7 201◦23.2 11.1 -16◦55.1 10.5 56.73 221◦26.9 -13◦38.9 215◦53.3 11.2 -16◦44.6 10.5 56.74 236◦26.9 -13◦38.1 230◦23.5 11.3 -16◦34.1 10.6 56.75 251◦27.0 -13◦37.2 244◦53.8 11.4 -16◦23.4 10.7 56.66 266◦27.0 -13◦36.4 259◦24.2 11.4 -16◦12.7 10.7 56.67 281◦27.0 -13◦35.6 273◦54.7 11.5 -16◦01.9 10.8 56.68 296◦27.0 -13◦34.7 288◦25.3 11.6 -15◦51.1 10.9 56.69 311◦27.0 -13◦33.9 302◦55.9 11.7 -15◦40.2 11.0 56.510 326◦27.0 -13◦33.1 317◦26.7 11.8 -15◦29.2 11.0 56.511 341◦27.0 -13◦32.2 331◦57.5 11.9 -15◦18.1 11.1 56.512 356◦27.0 -13◦31.4 346◦28.4 11.9 -15◦07.0 11.2 56.513 11◦27.0 -13◦30.5 0◦59.4 12.0 -14◦55.8 11.2 56.414 26◦27.0 -13◦29.7 15◦30.4 12.1 -14◦44.6 11.3 56.415 41◦27.0 -13◦28.9 30◦01.6 12.2 -14◦33.3 11.3 56.416 56◦27.1 -13◦28.0 44◦32.8 12.3 -14◦21.9 11.4 56.417 71◦27.1 -13◦27.2 59◦04.1 12.4 -14◦10.5 11.5 56.418 86◦27.1 -13◦26.4 73◦35.5 12.4 -13◦59.0 11.5 56.319 101◦27.1 -13◦25.5 88◦07.0 12.5 -13◦47.5 11.6 56.320 116◦27.1 -13◦24.7 102◦38.6 12.6 -13◦35.9 11.6 56.321 131◦27.1 -13◦23.8 117◦10.2 12.7 -13◦24.2 11.7 56.322 146◦27.1 -13◦23.0 131◦41.9 12.7 -13◦12.6 11.7 56.223 161◦27.1 -13◦22.2 146◦13.7 12.8 -13◦00.8 11.8 56.2

SD.=16.2 d=0.8 S.D.=15.5

Sat GHA Dec GHA ν Dec d HP0 176◦27.2 -13◦21.3 160◦45.5 12.9 -12◦49.0 11.8 56.21 191◦27.2 -13◦20.5 175◦17.5 13.0 -12◦37.2 11.9 56.22 206◦27.2 -13◦19.6 189◦49.5 13.0 -12◦25.3 11.9 56.13 221◦27.2 -13◦18.8 204◦21.6 13.1 -12◦13.3 12.0 56.14 236◦27.2 -13◦17.9 218◦53.7 13.2 -12◦01.3 12.0 56.15 251◦27.2 -13◦17.1 233◦26.0 13.3 -11◦49.3 12.0 56.16 266◦27.2 -13◦16.3 247◦58.3 13.3 -11◦37.3 12.1 56.07 281◦27.3 -13◦15.4 262◦30.6 13.4 -11◦25.1 12.1 56.08 296◦27.3 -13◦14.6 277◦03.1 13.5 -11◦13.0 12.2 56.09 311◦27.3 -13◦13.7 291◦35.6 13.5 -11◦00.8 12.2 56.010 326◦27.3 -13◦12.9 306◦08.2 13.6 -10◦48.6 12.2 55.911 341◦27.3 -13◦12.0 320◦40.8 13.7 -10◦36.3 12.3 55.912 356◦27.3 -13◦11.2 335◦13.5 13.7 -10◦24.0 12.3 55.913 11◦27.4 -13◦10.3 349◦46.3 13.8 -10◦11.7 12.4 55.914 26◦27.4 -13◦09.5 4◦19.2 13.9 -9◦59.3 12.4 55.815 41◦27.4 -13◦08.6 18◦52.1 13.9 -9◦46.9 12.4 55.816 56◦27.4 -13◦07.8 33◦25.0 14.0 -9◦34.4 12.5 55.817 71◦27.4 -13◦07.0 47◦58.1 14.1 -9◦22.0 12.5 55.818 86◦27.4 -13◦06.1 62◦31.2 14.1 -9◦09.5 12.5 55.819 101◦27.5 -13◦05.3 77◦04.3 14.2 -8◦57.0 12.5 55.720 116◦27.5 -13◦04.4 91◦37.6 14.2 -8◦44.4 12.6 55.721 131◦27.5 -13◦03.6 106◦10.8 14.3 -8◦31.8 12.6 55.722 146◦27.5 -13◦02.7 120◦44.2 14.4 -8◦19.2 12.6 55.723 161◦27.5 -13◦01.9 135◦17.6 14.4 -8◦06.6 12.6 55.6

SD.=16.2 d=0.8 S.D.=15.3

Sun GHA Dec GHA ν Dec d HP0 176◦27.6 -13◦01.0 149◦51.0 14.5 -7◦53.9 12.7 55.61 191◦27.6 -13◦00.2 164◦24.5 14.5 -7◦41.3 12.7 55.62 206◦27.6 -12◦59.3 178◦58.1 14.6 -7◦28.6 12.7 55.63 221◦27.6 -12◦58.5 193◦31.7 14.6 -7◦15.9 12.7 55.64 236◦27.7 -12◦57.6 208◦05.4 14.7 -7◦03.1 12.7 55.55 251◦27.7 -12◦56.8 222◦39.1 14.7 -6◦50.4 12.8 55.56 266◦27.7 -12◦55.9 237◦12.8 14.8 -6◦37.6 12.8 55.57 281◦27.7 -12◦55.0 251◦46.7 14.8 -6◦24.8 12.8 55.58 296◦27.8 -12◦54.2 266◦20.5 14.9 -6◦12.0 12.8 55.49 311◦27.8 -12◦53.3 280◦54.4 14.9 -5◦59.2 12.8 55.410 326◦27.8 -12◦52.5 295◦28.4 15.0 -5◦46.3 12.8 55.411 341◦27.8 -12◦51.6 310◦02.4 15.0 -5◦33.5 12.9 55.412 356◦27.8 -12◦50.8 324◦36.5 15.1 -5◦20.6 12.9 55.413 11◦27.9 -12◦49.9 339◦10.6 15.1 -5◦07.8 12.9 55.314 26◦27.9 -12◦49.1 353◦44.7 15.2 -4◦54.9 12.9 55.315 41◦27.9 -12◦48.2 8◦18.9 15.2 -4◦42.0 12.9 55.316 56◦28.0 -12◦47.4 22◦53.1 15.2 -4◦29.1 12.9 55.317 71◦28.0 -12◦46.5 37◦27.4 15.3 -4◦16.2 12.9 55.218 86◦28.0 -12◦45.6 52◦01.7 15.3 -4◦03.3 12.9 55.219 101◦28.0 -12◦44.8 66◦36.0 15.4 -3◦50.4 12.9 55.220 116◦28.1 -12◦43.9 81◦10.4 15.4 -3◦37.5 12.9 55.221 131◦28.1 -12◦43.1 95◦44.8 15.4 -3◦24.5 12.9 55.222 146◦28.1 -12◦42.2 110◦19.3 15.5 -3◦11.6 12.9 55.123 161◦28.1 -12◦41.4 124◦53.8 15.5 -2◦58.7 12.9 55.1

SD.=16.2 d=0.9 S.D.=15.2

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 06:22 07:43 09:04 15:26 16:47 18:0870 06:20 07:32 08:42 15:47 16:58 18:1168 06:17 07:23 08:26 16:04 17:07 18:1366 06:15 07:16 08:12 16:18 17:14 18:1564 06:13 07:09 08:01 16:29 17:20 18:1662 06:12 07:04 07:51 16:38 17:26 18:1860 06:10 06:59 07:43 16:46 17:31 18:2058 06:08 06:54 07:36 16:54 17:35 18:2156 06:07 06:50 07:29 16:60 17:39 18:2354 06:05 06:47 07:24 17:05 17:42 18:2452 06:04 06:43 07:19 17:11 17:46 18:2550 06:02 06:40 07:14 17:15 17:49 18:2745 05:59 06:33 07:04 17:25 17:56 18:3040 05:56 06:27 06:55 17:34 18:02 18:3335 05:52 06:22 06:48 17:41 18:07 18:3730 05:49 06:17 06:41 17:47 18:12 18:4020 05:42 06:08 06:30 17:58 18:21 18:4710 05:34 05:59 06:20 18:08 18:30 18:550 05:25 05:50 06:11 18:18 18:39 19:03-10 05:14 05:40 06:01 18:27 18:49 19:14-20 05:01 05:28 05:51 18:37 19:00 19:27-30 04:44 05:14 05:39 18:49 19:14 19:44-35 04:33 05:05 05:32 18:56 19:22 19:54-40 04:20 04:55 05:24 19:04 19:32 20:07-45 04:04 04:43 05:15 19:13 19:44 20:23-50 03:43 04:28 05:03 19:24 19:60 20:44-52 03:32 04:20 04:58 19:29 20:07 20:54-54 03:20 04:12 04:52 19:35 20:15 21:06-56 03:06 04:03 04:46 19:41 20:24 21:20-58 02:48 03:52 04:38 19:48 20:34 21:37-60 02:27 03:40 04:30 19:57 20:46 21:58

Moonrise MoonsetLat. Fri Sat Sun Fri Sat Sun72 10:45 10:01 09:33 15:28 17:48 19:4870 10:10 09:44 09:24 16:01 18:04 19:5468 09:45 09:30 09:18 16:25 18:16 19:5866 09:26 09:18 09:12 16:43 18:26 20:0264 09:10 09:09 09:07 16:58 18:34 20:0562 08:57 09:01 09:03 17:10 18:41 20:0860 08:46 08:53 08:59 17:20 18:47 20:1058 08:36 08:47 08:56 17:29 18:52 20:1256 08:27 08:41 08:53 17:37 18:57 20:1454 08:19 08:36 08:50 17:44 19:01 20:1552 08:13 08:32 08:48 17:50 19:05 20:1750 08:06 08:28 08:46 17:56 19:08 20:1845 07:53 08:18 08:41 18:08 19:16 20:2140 07:42 08:11 08:37 18:18 19:22 20:2435 07:32 08:04 08:33 18:26 19:27 20:2630 07:24 07:59 08:30 18:33 19:32 20:2720 07:09 07:49 08:25 18:46 19:39 20:3110 06:56 07:40 08:20 18:57 19:46 20:330 06:44 07:31 08:16 19:07 19:53 20:36-10 06:32 07:23 08:11 19:17 19:59 20:38-20 06:19 07:14 08:06 19:28 20:06 20:41-30 06:04 07:04 08:01 19:41 20:14 20:44-35 05:56 06:58 07:58 19:48 20:18 20:46-40 05:46 06:51 07:54 19:56 20:23 20:48-45 05:34 06:43 07:50 20:05 20:29 20:50-50 05:20 06:34 07:45 20:16 20:35 20:53-52 05:13 06:29 07:43 20:21 20:39 20:54-54 05:06 06:24 07:40 20:27 20:42 20:55-56 04:58 06:19 07:37 20:33 20:46 20:57-58 04:48 06:13 07:34 20:40 20:50 20:58-60 04:38 06:06 07:30 20:48 20:55 20:60

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower12 14:12 14:12 12:14 12:55 00:31 1(1%)13 14:11 14:11 12:14 13:42 01:19 2(3%)14 14:10 14:09 12:14 14:25 02:04 3(8%)

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February 15, 16 ,17 (Mon., Tue., Wed.)Aries Venus Mars Jupiter Saturn

Mon GHA GHA Dec GHA Dec GHA Dec GHA Dec0 145◦13.1 185◦37.6 -16◦49.1 97◦50.1 19◦07.7 189◦13.1 -17◦20.0 195◦47.6 -18◦58.21 160◦15.6 200◦37.0 -16◦48.2 112◦51.2 19◦08.1 204◦15.0 -17◦19.9 210◦49.8 -18◦58.12 175◦18.1 215◦36.3 -16◦47.4 127◦52.2 19◦08.5 219◦16.9 -17◦19.7 225◦52.0 -18◦58.13 190◦20.5 230◦35.6 -16◦46.5 142◦53.2 19◦08.9 234◦18.7 -17◦19.5 240◦54.2 -18◦58.04 205◦23.0 245◦35.0 -16◦45.6 157◦54.3 19◦09.3 249◦20.6 -17◦19.4 255◦56.3 -18◦57.95 220◦25.5 260◦34.3 -16◦44.7 172◦55.3 19◦09.6 264◦22.5 -17◦19.2 270◦58.5 -18◦57.96 235◦27.9 275◦33.6 -16◦43.8 187◦56.4 19◦10.0 279◦24.3 -17◦19.0 286◦00.7 -18◦57.87 250◦30.4 290◦33.0 -16◦42.9 202◦57.4 19◦10.4 294◦26.2 -17◦18.9 301◦02.8 -18◦57.78 265◦32.9 305◦32.3 -16◦42.0 217◦58.5 19◦10.8 309◦28.1 -17◦18.7 316◦05.0 -18◦57.79 280◦35.3 320◦31.6 -16◦41.1 232◦59.5 19◦11.2 324◦30.0 -17◦18.6 331◦07.2 -18◦57.610 295◦37.8 335◦30.9 -16◦40.2 248◦00.5 19◦11.6 339◦31.8 -17◦18.4 346◦09.3 -18◦57.511 310◦40.2 350◦30.3 -16◦39.4 263◦01.6 19◦12.0 354◦33.7 -17◦18.2 1◦11.5 -18◦57.512 325◦42.7 5◦29.6 -16◦38.5 278◦02.6 19◦12.4 9◦35.6 -17◦18.1 16◦13.7 -18◦57.413 340◦45.2 20◦28.9 -16◦37.6 293◦03.6 19◦12.8 24◦37.5 -17◦17.9 31◦15.9 -18◦57.314 355◦47.6 35◦28.3 -16◦36.7 308◦04.7 19◦13.1 39◦39.3 -17◦17.7 46◦18.0 -18◦57.215 10◦50.1 50◦27.6 -16◦35.8 323◦05.7 19◦13.5 54◦41.2 -17◦17.6 61◦20.2 -18◦57.216 25◦52.6 65◦27.0 -16◦34.9 338◦06.8 19◦13.9 69◦43.1 -17◦17.4 76◦22.4 -18◦57.117 40◦55.0 80◦26.3 -16◦34.0 353◦07.8 19◦14.3 84◦45.0 -17◦17.2 91◦24.5 -18◦57.018 55◦57.5 95◦25.6 -16◦33.1 8◦08.8 19◦14.7 99◦46.8 -17◦17.1 106◦26.7 -18◦57.019 70◦60.0 110◦25.0 -16◦32.2 23◦09.9 19◦15.1 114◦48.7 -17◦16.9 121◦28.9 -18◦56.920 86◦02.4 125◦24.3 -16◦31.3 38◦10.9 19◦15.5 129◦50.6 -17◦16.8 136◦31.1 -18◦56.821 101◦04.9 140◦23.6 -16◦30.4 53◦11.9 19◦15.9 144◦52.5 -17◦16.6 151◦33.2 -18◦56.822 116◦07.3 155◦23.0 -16◦29.5 68◦13.0 19◦16.2 159◦54.3 -17◦16.4 166◦35.4 -18◦56.723 131◦09.8 170◦22.3 -16◦28.6 83◦14.0 19◦16.6 174◦56.2 -17◦16.3 181◦37.6 -18◦56.6Mer.pass.:14:16 v-0.7 d0.9 m-3.8 v1.0 d0.4 m0.7 v1.9 d0.2 m-1.8 v2.2 d0.1 m0.7

Tue GHA GHA Dec GHA Dec GHA Dec GHA Dec0 146◦12.3 185◦21.7 -16◦27.7 98◦15.1 19◦17.0 189◦58.1 -17◦16.1 196◦39.7 -18◦56.61 161◦14.7 200◦21.0 -16◦26.8 113◦16.1 19◦17.4 204◦60.0 -17◦15.9 211◦41.9 -18◦56.52 176◦17.2 215◦20.3 -16◦25.9 128◦17.1 19◦17.8 220◦01.8 -17◦15.8 226◦44.1 -18◦56.43 191◦19.7 230◦19.7 -16◦25.0 143◦18.2 19◦18.2 235◦03.7 -17◦15.6 241◦46.2 -18◦56.44 206◦22.1 245◦19.0 -16◦24.0 158◦19.2 19◦18.6 250◦05.6 -17◦15.4 256◦48.4 -18◦56.35 221◦24.6 260◦18.4 -16◦23.1 173◦20.2 19◦18.9 265◦07.5 -17◦15.3 271◦50.6 -18◦56.26 236◦27.1 275◦17.7 -16◦22.2 188◦21.3 19◦19.3 280◦09.3 -17◦15.1 286◦52.8 -18◦56.17 251◦29.5 290◦17.0 -16◦21.3 203◦22.3 19◦19.7 295◦11.2 -17◦14.9 301◦54.9 -18◦56.18 266◦32.0 305◦16.4 -16◦20.4 218◦23.3 19◦20.1 310◦13.1 -17◦14.8 316◦57.1 -18◦56.09 281◦34.5 320◦15.7 -16◦19.5 233◦24.4 19◦20.5 325◦15.0 -17◦14.6 331◦59.3 -18◦55.910 296◦36.9 335◦15.1 -16◦18.6 248◦25.4 19◦20.9 340◦16.8 -17◦14.5 347◦01.5 -18◦55.911 311◦39.4 350◦14.4 -16◦17.7 263◦26.4 19◦21.3 355◦18.7 -17◦14.3 2◦03.6 -18◦55.812 326◦41.8 5◦13.8 -16◦16.8 278◦27.5 19◦21.6 10◦20.6 -17◦14.1 17◦05.8 -18◦55.713 341◦44.3 20◦13.1 -16◦15.8 293◦28.5 19◦22.0 25◦22.5 -17◦14.0 32◦08.0 -18◦55.714 356◦46.8 35◦12.5 -16◦14.9 308◦29.5 19◦22.4 40◦24.3 -17◦13.8 47◦10.1 -18◦55.615 11◦49.2 50◦11.8 -16◦14.0 323◦30.6 19◦22.8 55◦26.2 -17◦13.6 62◦12.3 -18◦55.516 26◦51.7 65◦11.2 -16◦13.1 338◦31.6 19◦23.2 70◦28.1 -17◦13.5 77◦14.5 -18◦55.517 41◦54.2 80◦10.5 -16◦12.2 353◦32.6 19◦23.6 85◦30.0 -17◦13.3 92◦16.7 -18◦55.418 56◦56.6 95◦09.9 -16◦11.3 8◦33.6 19◦23.9 100◦31.9 -17◦13.1 107◦18.8 -18◦55.319 71◦59.1 110◦09.2 -16◦10.4 23◦34.7 19◦24.3 115◦33.7 -17◦13.0 122◦21.0 -18◦55.320 87◦01.6 125◦08.6 -16◦09.4 38◦35.7 19◦24.7 130◦35.6 -17◦12.8 137◦23.2 -18◦55.221 102◦04.0 140◦07.9 -16◦08.5 53◦36.7 19◦25.1 145◦37.5 -17◦12.6 152◦25.3 -18◦55.122 117◦06.5 155◦07.3 -16◦07.6 68◦37.8 19◦25.5 160◦39.4 -17◦12.5 167◦27.5 -18◦55.023 132◦09.0 170◦06.6 -16◦06.7 83◦38.8 19◦25.9 175◦41.2 -17◦12.3 182◦29.7 -18◦55.0Mer.pass.:14:12 v-0.7 d0.9 m-3.8 v1.0 d0.4 m0.7 v1.9 d0.2 m-1.8 v2.2 d0.1 m0.7

Wed GHA GHA Dec GHA Dec GHA Dec GHA Dec0 147◦11.4 185◦06.0 -16◦05.7 98◦39.8 19◦26.2 190◦43.1 -17◦12.2 197◦31.9 -18◦54.91 162◦13.9 200◦05.3 -16◦04.8 113◦40.9 19◦26.6 205◦45.0 -17◦12.0 212◦34.0 -18◦54.82 177◦16.3 215◦04.7 -16◦03.9 128◦41.9 19◦27.0 220◦46.9 -17◦11.8 227◦36.2 -18◦54.83 192◦18.8 230◦04.0 -16◦03.0 143◦42.9 19◦27.4 235◦48.7 -17◦11.7 242◦38.4 -18◦54.74 207◦21.3 245◦03.4 -16◦02.0 158◦43.9 19◦27.8 250◦50.6 -17◦11.5 257◦40.5 -18◦54.65 222◦23.7 260◦02.7 -16◦01.1 173◦45.0 19◦28.2 265◦52.5 -17◦11.3 272◦42.7 -18◦54.66 237◦26.2 275◦02.1 -16◦00.2 188◦46.0 19◦28.5 280◦54.4 -17◦11.2 287◦44.9 -18◦54.57 252◦28.7 290◦01.4 -15◦59.3 203◦47.0 19◦28.9 295◦56.2 -17◦11.0 302◦47.1 -18◦54.48 267◦31.1 305◦00.8 -15◦58.3 218◦48.0 19◦29.3 310◦58.1 -17◦10.8 317◦49.2 -18◦54.49 282◦33.6 320◦00.2 -15◦57.4 233◦49.1 19◦29.7 326◦00.0 -17◦10.7 332◦51.4 -18◦54.310 297◦36.1 334◦59.5 -15◦56.5 248◦50.1 19◦30.1 341◦01.9 -17◦10.5 347◦53.6 -18◦54.211 312◦38.5 349◦58.9 -15◦55.5 263◦51.1 19◦30.4 356◦03.8 -17◦10.3 2◦55.8 -18◦54.212 327◦41.0 4◦58.2 -15◦54.6 278◦52.2 19◦30.8 11◦05.6 -17◦10.2 17◦57.9 -18◦54.113 342◦43.4 19◦57.6 -15◦53.7 293◦53.2 19◦31.2 26◦07.5 -17◦10.0 33◦00.1 -18◦54.014 357◦45.9 34◦56.9 -15◦52.7 308◦54.2 19◦31.6 41◦09.4 -17◦09.9 48◦02.3 -18◦53.915 12◦48.4 49◦56.3 -15◦51.8 323◦55.2 19◦32.0 56◦11.3 -17◦09.7 63◦04.5 -18◦53.916 27◦50.8 64◦55.7 -15◦50.9 338◦56.3 19◦32.3 71◦13.1 -17◦09.5 78◦06.6 -18◦53.817 42◦53.3 79◦55.0 -15◦49.9 353◦57.3 19◦32.7 86◦15.0 -17◦09.4 93◦08.8 -18◦53.718 57◦55.8 94◦54.4 -15◦49.0 8◦58.3 19◦33.1 101◦16.9 -17◦09.2 108◦11.0 -18◦53.719 72◦58.2 109◦53.7 -15◦48.1 23◦59.3 19◦33.5 116◦18.8 -17◦09.0 123◦13.1 -18◦53.620 88◦00.7 124◦53.1 -15◦47.1 39◦00.3 19◦33.9 131◦20.7 -17◦08.9 138◦15.3 -18◦53.521 103◦03.2 139◦52.5 -15◦46.2 54◦01.4 19◦34.2 146◦22.5 -17◦08.7 153◦17.5 -18◦53.522 118◦05.6 154◦51.8 -15◦45.3 69◦02.4 19◦34.6 161◦24.4 -17◦08.5 168◦19.7 -18◦53.423 133◦08.1 169◦51.2 -15◦44.3 84◦03.4 19◦35.0 176◦26.3 -17◦08.4 183◦21.8 -18◦53.3Mer.pass.:14:08 v-0.6 d0.9 m-3.8 v1.0 d0.4 m0.7 v1.9 d0.2 m-1.8 v2.2 d0.1 m0.7

StarsSHA Dec

Alpheratz 357◦38.3 29◦12.3Ankaa 353◦10.6 -42◦11.8

Schedar 349◦34.9 56◦39.2Diphda 348◦50.6 -17◦52.5

Achernar 335◦22.9 -57◦08.2Hamal 327◦54.9 23◦33.7Polaris 315◦33.6 89◦21.4Akamar 315◦14.3 -40◦13.6Menkar 314◦09.5 4◦10.2Mirfak 308◦32.7 49◦56.2

Aldebaran 290◦43.2 16◦33.0Rigel 281◦06.8 -8◦10.9

Capella 280◦26.4 46◦01.3Bellatrix 278◦26.1 6◦22.0Elnath 278◦05.7 28◦37.5Alnilam 275◦40.8 -1◦11.5

Betelgeuse 270◦55.3 7◦24.5Canopus 263◦53.4 -52◦42.7

Sirius 258◦28.7 -16◦44.7Adara 255◦08.0 -29◦00.3

Procyon 244◦53.8 5◦10.3Pollux 243◦20.7 27◦58.5Avior 234◦15.4 -59◦34.7Suhail 222◦48.1 -43◦31.1

Miaplacidus 221◦37.9 -69◦48.2Alphard 217◦50.5 -8◦45.1Regulus 207◦37.4 11◦51.8Dubhe 193◦44.3 61◦38.2

Denebola 182◦27.8 14◦27.2Gienah 175◦46.5 -17◦39.5Acrux 173◦03.0 -63◦12.7

Gacrux 171◦54.6 -57◦13.7Alioth 166◦15.5 55◦50.5Spica 158◦25.4 -11◦16.2Alcaid 152◦54.3 49◦12.3Hadar 148◦40.1 -60◦28.2

Menkent 148◦01.2 -36◦28.2Arcturus 145◦50.5 19◦04.5

Rigil Kent. 139◦44.4 -60◦55.0Zubenelg. 136◦59.4 -16◦07.7Kochab 137◦19.7 74◦03.9

Alphecca 126◦06.5 26◦38.5Antares 112◦19.8 -26◦28.6

Atria 107◦17.0 -69◦03.6Sabik 102◦06.5 -15◦45.0

Shaula 96◦14.8 -37◦07.0Rasalhague 96◦01.7 12◦32.6

Etamin 90◦43.9 51◦28.9Kaus Aust. 83◦36.9 -34◦22.4

Vega 80◦35.7 38◦47.9Nunki 75◦52.0 -26◦16.2Altair 62◦03.4 8◦55.3

Peacock 53◦11.3 -56◦40.0Deneb 49◦28.3 45◦21.2

Enif 33◦42.2 9◦58.1Alnair 27◦37.4 -46◦51.7

Fomalhaut 15◦18.4 -29◦30.8Scheat 13◦48.6 28◦11.7Markab 13◦33.3 15◦19.0

2021/2/1 SHA Mer.passVenus 40◦24.5 11:38Mars 312◦37.0 17:27

Jupiter 43◦60.0 11:22Saturn 50◦34.5 10:55

2021/2/1 SHA Mer.passVenus 39◦09.4 11:39Mars 312◦02.8 17:26

Jupiter 43◦45.8 11:19Saturn 50◦27.5 10:52

2021/2/1 SHA Mer.passVenus 37◦54.5 11:40Mars 311◦28.4 17:24

Jupiter 43◦31.7 11:16Saturn 50◦20.4 10:48

Horizontal paralaxVenus: 0.1Mars: 0.1

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2021 February 15 to Feb. 17

h Sun MoonMon GHA Dec GHA ν Dec d HP0 176◦28.2 -12◦40.5 139◦28.3 15.5 -2◦45.7 12.9 55.11 191◦28.2 -12◦39.6 154◦02.9 15.6 -2◦32.8 12.9 55.12 206◦28.2 -12◦38.8 168◦37.4 15.6 -2◦19.9 12.9 55.13 221◦28.3 -12◦37.9 183◦12.1 15.6 -2◦06.9 12.9 55.04 236◦28.3 -12◦37.1 197◦46.7 15.7 -1◦54.0 12.9 55.05 251◦28.3 -12◦36.2 212◦21.4 15.7 -1◦41.1 12.9 55.06 266◦28.4 -12◦35.3 226◦56.1 15.7 -1◦28.1 12.9 55.07 281◦28.4 -12◦34.5 241◦30.8 15.7 -1◦15.2 12.9 55.08 296◦28.4 -12◦33.6 256◦05.6 15.8 -1◦02.3 12.9 55.09 311◦28.4 -12◦32.7 270◦40.3 15.8 -0◦49.4 12.9 54.910 326◦28.5 -12◦31.9 285◦15.2 15.8 -0◦36.5 12.9 54.911 341◦28.5 -12◦31.0 299◦50.0 15.8 -0◦23.6 12.9 54.912 356◦28.5 -12◦30.2 314◦24.8 15.9 -0◦10.7 12.9 54.913 11◦28.6 -12◦29.3 328◦59.7 15.9 0◦02.2 12.9 54.914 26◦28.6 -12◦28.4 343◦34.6 15.9 0◦15.1 12.9 54.815 41◦28.6 -12◦27.6 358◦09.5 15.9 0◦27.9 12.9 54.816 56◦28.7 -12◦26.7 12◦44.4 15.9 0◦40.8 12.8 54.817 71◦28.7 -12◦25.8 27◦19.4 16.0 0◦53.6 12.8 54.818 86◦28.7 -12◦25.0 41◦54.3 16.0 1◦06.5 12.8 54.819 101◦28.8 -12◦24.1 56◦29.3 16.0 1◦19.3 12.8 54.820 116◦28.8 -12◦23.2 71◦04.3 16.0 1◦32.1 12.8 54.721 131◦28.9 -12◦22.4 85◦39.3 16.0 1◦44.9 12.8 54.722 146◦28.9 -12◦21.5 100◦14.3 16.0 1◦57.6 12.8 54.723 161◦28.9 -12◦20.6 114◦49.4 16.0 2◦10.4 12.8 54.7

SD.=16.2 d=0.9 S.D.=15.0

Tue GHA Dec GHA ν Dec d HP0 176◦29.0 -12◦19.8 129◦24.4 16.0 2◦23.1 12.7 54.71 191◦29.0 -12◦18.9 143◦59.5 16.1 2◦35.9 12.7 54.72 206◦29.0 -12◦18.0 158◦34.5 16.1 2◦48.6 12.7 54.73 221◦29.1 -12◦17.2 173◦09.6 16.1 3◦01.3 12.7 54.64 236◦29.1 -12◦16.3 187◦44.6 16.1 3◦13.9 12.7 54.65 251◦29.1 -12◦15.4 202◦19.7 16.1 3◦26.6 12.6 54.66 266◦29.2 -12◦14.6 216◦54.8 16.1 3◦39.2 12.6 54.67 281◦29.2 -12◦13.7 231◦29.9 16.1 3◦51.8 12.6 54.68 296◦29.3 -12◦12.8 246◦05.0 16.1 4◦04.4 12.6 54.69 311◦29.3 -12◦12.0 260◦40.1 16.1 4◦17.0 12.6 54.610 326◦29.3 -12◦11.1 275◦15.2 16.1 4◦29.5 12.5 54.511 341◦29.4 -12◦10.2 289◦50.3 16.1 4◦42.0 12.5 54.512 356◦29.4 -12◦09.3 304◦25.3 16.1 4◦54.5 12.5 54.513 11◦29.5 -12◦08.5 319◦00.4 16.1 5◦07.0 12.5 54.514 26◦29.5 -12◦07.6 333◦35.5 16.1 5◦19.4 12.4 54.515 41◦29.5 -12◦06.7 348◦10.6 16.1 5◦31.8 12.4 54.516 56◦29.6 -12◦05.9 2◦45.7 16.1 5◦44.2 12.4 54.517 71◦29.6 -12◦05.0 17◦20.7 16.1 5◦56.6 12.3 54.518 86◦29.7 -12◦04.1 31◦55.8 16.1 6◦08.9 12.3 54.419 101◦29.7 -12◦03.2 46◦30.9 16.1 6◦21.2 12.3 54.420 116◦29.8 -12◦02.4 61◦05.9 16.0 6◦33.5 12.3 54.421 131◦29.8 -12◦01.5 75◦41.0 16.0 6◦45.7 12.2 54.422 146◦29.8 -12◦00.6 90◦16.0 16.0 6◦57.9 12.2 54.423 161◦29.9 -11◦59.7 104◦51.0 16.0 7◦10.1 12.2 54.4

SD.=16.2 d=0.9 S.D.=14.9

Wed GHA Dec GHA ν Dec d HP0 176◦29.9 -11◦58.9 119◦26.0 16.0 7◦22.3 12.1 54.41 191◦30.0 -11◦58.0 134◦01.0 16.0 7◦34.4 12.1 54.42 206◦30.0 -11◦57.1 148◦36.0 16.0 7◦46.5 12.1 54.43 221◦30.1 -11◦56.2 163◦10.9 16.0 7◦58.5 12.0 54.44 236◦30.1 -11◦55.4 177◦45.9 15.9 8◦10.5 12.0 54.35 251◦30.2 -11◦54.5 192◦20.8 15.9 8◦22.5 12.0 54.36 266◦30.2 -11◦53.6 206◦55.7 15.9 8◦34.4 11.9 54.37 281◦30.2 -11◦52.7 221◦30.6 15.9 8◦46.3 11.9 54.38 296◦30.3 -11◦51.8 236◦05.5 15.9 8◦58.2 11.8 54.39 311◦30.3 -11◦51.0 250◦40.4 15.8 9◦10.0 11.8 54.310 326◦30.4 -11◦50.1 265◦15.2 15.8 9◦21.8 11.8 54.311 341◦30.4 -11◦49.2 279◦50.0 15.8 9◦33.6 11.7 54.312 356◦30.5 -11◦48.3 294◦24.8 15.8 9◦45.3 11.7 54.313 11◦30.5 -11◦47.5 308◦59.6 15.8 9◦56.9 11.6 54.314 26◦30.6 -11◦46.6 323◦34.3 15.7 10◦08.6 11.6 54.315 41◦30.6 -11◦45.7 338◦09.0 15.7 10◦20.2 11.6 54.316 56◦30.7 -11◦44.8 352◦43.7 15.7 10◦31.7 11.5 54.317 71◦30.7 -11◦43.9 7◦18.4 15.6 10◦43.2 11.5 54.318 86◦30.8 -11◦43.1 21◦53.0 15.6 10◦54.7 11.4 54.319 101◦30.8 -11◦42.2 36◦27.6 15.6 11◦06.1 11.4 54.220 116◦30.9 -11◦41.3 51◦02.2 15.6 11◦17.4 11.3 54.221 131◦30.9 -11◦40.4 65◦36.7 15.5 11◦28.8 11.3 54.222 146◦31.0 -11◦39.5 80◦11.2 15.5 11◦40.0 11.2 54.223 161◦31.0 -11◦38.6 94◦45.7 15.5 11◦51.3 11.2 54.2

SD.=16.2 d=0.9 S.D.=14.8

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 06:09 07:29 08:47 15:43 17:01 18:2170 06:08 07:20 08:28 16:02 17:10 18:2268 06:07 07:12 08:13 16:17 17:17 18:2366 06:06 07:06 08:01 16:28 17:24 18:2464 06:05 07:00 07:51 16:38 17:29 18:2562 06:04 06:56 07:42 16:47 17:34 18:2660 06:03 06:51 07:35 16:54 17:38 18:2758 06:02 06:47 07:28 17:01 17:42 18:2856 06:01 06:44 07:23 17:06 17:45 18:2954 05:60 06:41 07:17 17:12 17:48 18:3052 05:59 06:38 07:13 17:16 17:51 18:3050 05:57 06:35 07:08 17:20 17:54 18:3145 05:55 06:29 06:59 17:30 17:60 18:3440 05:52 06:24 06:51 17:37 18:05 18:3735 05:49 06:19 06:45 17:44 18:10 18:3930 05:46 06:14 06:39 17:50 18:14 18:4220 05:40 06:06 06:29 17:60 18:22 18:4810 05:33 05:58 06:19 18:09 18:30 18:550 05:25 05:50 06:11 18:17 18:39 19:03-10 05:15 05:40 06:02 18:26 18:48 19:13-20 05:03 05:30 05:52 18:36 18:58 19:25-30 04:47 05:16 05:41 18:46 19:11 19:41-35 04:37 05:08 05:35 18:53 19:19 19:51-40 04:24 04:59 05:28 18:60 19:28 20:03-45 04:09 04:48 05:19 19:08 19:40 20:18-50 03:49 04:33 05:09 19:18 19:53 20:37-52 03:40 04:27 05:04 19:23 20:00 20:47-54 03:28 04:19 04:58 19:28 20:08 20:58-56 03:15 04:10 04:52 19:34 20:16 21:10-58 02:60 04:01 04:46 19:41 20:25 21:26-60 02:40 03:49 04:38 19:48 20:37 21:44

Moonrise MoonsetLat. Mon Tue Wed Mon Tue Wed72 09:09 08:45 08:20 21:41 23:33 –:–70 09:07 08:51 08:34 21:38 23:22 –:–68 09:06 08:56 08:44 21:36 23:13 –:–66 09:06 08:60 08:53 21:34 23:06 –:–64 09:05 09:03 09:01 21:33 22:59 –:–62 09:04 09:06 09:07 21:31 22:54 –:–60 09:04 09:08 09:13 21:30 22:50 –:–58 09:03 09:11 09:18 21:29 22:46 –:–56 09:03 09:13 09:23 21:28 22:42 23:5554 09:03 09:14 09:27 21:28 22:39 23:5052 09:02 09:16 09:31 21:27 22:36 23:4550 09:02 09:18 09:34 21:26 22:33 23:4045 09:01 09:21 09:41 21:25 22:28 23:3040 09:01 09:24 09:47 21:24 22:23 23:2235 09:00 09:26 09:53 21:23 22:19 23:1530 08:60 09:28 09:58 21:22 22:15 23:0920 08:59 09:32 10:06 21:20 22:09 22:5810 08:58 09:36 10:13 21:19 22:04 22:490 08:58 09:39 10:20 21:17 21:59 22:40-10 08:57 09:42 10:27 21:16 21:53 22:31-20 08:56 09:45 10:34 21:15 21:48 22:22-30 08:56 09:49 10:43 21:13 21:42 22:12-35 08:55 09:52 10:48 21:12 21:38 22:06-40 08:55 09:54 10:53 21:11 21:35 21:59-45 08:54 09:57 10:60 21:10 21:30 21:51-50 08:54 10:01 11:08 21:09 21:24 21:41-52 08:53 10:03 11:12 21:08 21:22 21:37-54 08:53 10:05 11:16 21:07 21:19 21:32-56 08:53 10:07 11:20 21:06 21:16 21:27-58 08:52 10:09 11:25 21:05 21:13 21:21-60 08:52 10:12 11:31 21:05 21:09 21:14

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower15 14:07 14:06 12:14 15:07 02:46 4(14%)16 14:04 14:02 12:14 15:48 03:28 5(21%)17 14:00 13:58 12:13 16:29 04:09 6(29%)

33

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February 18, 19 ,20 (Thu., Fri., Sat.)Aries Venus Mars Jupiter Saturn

Thu GHA GHA Dec GHA Dec GHA Dec GHA Dec0 148◦10.6 184◦50.6 -15◦43.4 99◦04.4 19◦35.4 191◦28.2 -17◦08.2 198◦24.0 -18◦53.31 163◦13.0 199◦49.9 -15◦42.4 114◦05.5 19◦35.8 206◦30.0 -17◦08.0 213◦26.2 -18◦53.22 178◦15.5 214◦49.3 -15◦41.5 129◦06.5 19◦36.1 221◦31.9 -17◦07.9 228◦28.4 -18◦53.13 193◦17.9 229◦48.7 -15◦40.5 144◦07.5 19◦36.5 236◦33.8 -17◦07.7 243◦30.5 -18◦53.14 208◦20.4 244◦48.0 -15◦39.6 159◦08.5 19◦36.9 251◦35.7 -17◦07.5 258◦32.7 -18◦53.05 223◦22.9 259◦47.4 -15◦38.7 174◦09.6 19◦37.3 266◦37.6 -17◦07.4 273◦34.9 -18◦52.96 238◦25.3 274◦46.8 -15◦37.7 189◦10.6 19◦37.7 281◦39.4 -17◦07.2 288◦37.1 -18◦52.97 253◦27.8 289◦46.1 -15◦36.8 204◦11.6 19◦38.0 296◦41.3 -17◦07.1 303◦39.2 -18◦52.88 268◦30.3 304◦45.5 -15◦35.8 219◦12.6 19◦38.4 311◦43.2 -17◦06.9 318◦41.4 -18◦52.79 283◦32.7 319◦44.9 -15◦34.9 234◦13.6 19◦38.8 326◦45.1 -17◦06.7 333◦43.6 -18◦52.610 298◦35.2 334◦44.2 -15◦33.9 249◦14.7 19◦39.2 341◦46.9 -17◦06.6 348◦45.8 -18◦52.611 313◦37.7 349◦43.6 -15◦33.0 264◦15.7 19◦39.5 356◦48.8 -17◦06.4 3◦47.9 -18◦52.512 328◦40.1 4◦43.0 -15◦32.0 279◦16.7 19◦39.9 11◦50.7 -17◦06.2 18◦50.1 -18◦52.413 343◦42.6 19◦42.3 -15◦31.1 294◦17.7 19◦40.3 26◦52.6 -17◦06.1 33◦52.3 -18◦52.414 358◦45.0 34◦41.7 -15◦30.1 309◦18.7 19◦40.7 41◦54.5 -17◦05.9 48◦54.5 -18◦52.315 13◦47.5 49◦41.1 -15◦29.2 324◦19.8 19◦41.0 56◦56.3 -17◦05.7 63◦56.6 -18◦52.216 28◦50.0 64◦40.5 -15◦28.2 339◦20.8 19◦41.4 71◦58.2 -17◦05.6 78◦58.8 -18◦52.217 43◦52.4 79◦39.8 -15◦27.3 354◦21.8 19◦41.8 87◦00.1 -17◦05.4 94◦01.0 -18◦52.118 58◦54.9 94◦39.2 -15◦26.3 9◦22.8 19◦42.2 102◦02.0 -17◦05.2 109◦03.1 -18◦52.019 73◦57.4 109◦38.6 -15◦25.4 24◦23.8 19◦42.6 117◦03.9 -17◦05.1 124◦05.3 -18◦52.020 88◦59.8 124◦38.0 -15◦24.4 39◦24.8 19◦42.9 132◦05.7 -17◦04.9 139◦07.5 -18◦51.921 104◦02.3 139◦37.3 -15◦23.4 54◦25.9 19◦43.3 147◦07.6 -17◦04.7 154◦09.7 -18◦51.822 119◦04.8 154◦36.7 -15◦22.5 69◦26.9 19◦43.7 162◦09.5 -17◦04.6 169◦11.8 -18◦51.823 134◦07.2 169◦36.1 -15◦21.5 84◦27.9 19◦44.1 177◦11.4 -17◦04.4 184◦14.0 -18◦51.7Mer.pass.:14:04 v-0.6 d0.9 m-3.8 v1.0 d0.4 m0.8 v1.9 d0.2 m-1.8 v2.2 d0.1 m0.7

Fri GHA GHA Dec GHA Dec GHA Dec GHA Dec0 149◦09.7 184◦35.5 -15◦20.6 99◦28.9 19◦44.4 192◦13.3 -17◦04.3 199◦16.2 -18◦51.61 164◦12.2 199◦34.8 -15◦19.6 114◦29.9 19◦44.8 207◦15.1 -17◦04.1 214◦18.4 -18◦51.62 179◦14.6 214◦34.2 -15◦18.6 129◦30.9 19◦45.2 222◦17.0 -17◦03.9 229◦20.5 -18◦51.53 194◦17.1 229◦33.6 -15◦17.7 144◦32.0 19◦45.6 237◦18.9 -17◦03.8 244◦22.7 -18◦51.44 209◦19.5 244◦33.0 -15◦16.7 159◦33.0 19◦45.9 252◦20.8 -17◦03.6 259◦24.9 -18◦51.35 224◦22.0 259◦32.3 -15◦15.8 174◦34.0 19◦46.3 267◦22.7 -17◦03.4 274◦27.1 -18◦51.36 239◦24.5 274◦31.7 -15◦14.8 189◦35.0 19◦46.7 282◦24.5 -17◦03.3 289◦29.3 -18◦51.27 254◦26.9 289◦31.1 -15◦13.8 204◦36.0 19◦47.1 297◦26.4 -17◦03.1 304◦31.4 -18◦51.18 269◦29.4 304◦30.5 -15◦12.9 219◦37.0 19◦47.4 312◦28.3 -17◦02.9 319◦33.6 -18◦51.19 284◦31.9 319◦29.9 -15◦11.9 234◦38.0 19◦47.8 327◦30.2 -17◦02.8 334◦35.8 -18◦51.010 299◦34.3 334◦29.3 -15◦10.9 249◦39.1 19◦48.2 342◦32.1 -17◦02.6 349◦38.0 -18◦50.911 314◦36.8 349◦28.6 -15◦10.0 264◦40.1 19◦48.5 357◦33.9 -17◦02.4 4◦40.1 -18◦50.912 329◦39.3 4◦28.0 -15◦09.0 279◦41.1 19◦48.9 12◦35.8 -17◦02.3 19◦42.3 -18◦50.813 344◦41.7 19◦27.4 -15◦08.0 294◦42.1 19◦49.3 27◦37.7 -17◦02.1 34◦44.5 -18◦50.714 359◦44.2 34◦26.8 -15◦07.1 309◦43.1 19◦49.7 42◦39.6 -17◦01.9 49◦46.7 -18◦50.715 14◦46.7 49◦26.2 -15◦06.1 324◦44.1 19◦50.0 57◦41.5 -17◦01.8 64◦48.8 -18◦50.616 29◦49.1 64◦25.6 -15◦05.1 339◦45.1 19◦50.4 72◦43.3 -17◦01.6 79◦51.0 -18◦50.517 44◦51.6 79◦24.9 -15◦04.2 354◦46.2 19◦50.8 87◦45.2 -17◦01.4 94◦53.2 -18◦50.518 59◦54.0 94◦24.3 -15◦03.2 9◦47.2 19◦51.2 102◦47.1 -17◦01.3 109◦55.4 -18◦50.419 74◦56.5 109◦23.7 -15◦02.2 24◦48.2 19◦51.5 117◦49.0 -17◦01.1 124◦57.5 -18◦50.320 89◦59.0 124◦23.1 -15◦01.2 39◦49.2 19◦51.9 132◦50.9 -17◦00.9 139◦59.7 -18◦50.321 105◦01.4 139◦22.5 -15◦00.3 54◦50.2 19◦52.3 147◦52.7 -17◦00.8 155◦01.9 -18◦50.222 120◦03.9 154◦21.9 -14◦59.3 69◦51.2 19◦52.6 162◦54.6 -17◦00.6 170◦04.1 -18◦50.123 135◦06.4 169◦21.3 -14◦58.3 84◦52.2 19◦53.0 177◦56.5 -17◦00.5 185◦06.2 -18◦50.0Mer.pass.:14:01 v-0.6 d1.0 m-3.8 v1.0 d0.4 m0.8 v1.9 d0.2 m-1.8 v2.2 d0.1 m0.7

Sat GHA GHA Dec GHA Dec GHA Dec GHA Dec0 150◦08.8 184◦20.6 -14◦57.3 99◦53.2 19◦53.4 192◦58.4 -17◦00.3 200◦08.4 -18◦50.01 165◦11.3 199◦20.0 -14◦56.4 114◦54.2 19◦53.8 208◦00.3 -17◦00.1 215◦10.6 -18◦49.92 180◦13.8 214◦19.4 -14◦55.4 129◦55.2 19◦54.1 223◦02.1 -16◦60.0 230◦12.8 -18◦49.83 195◦16.2 229◦18.8 -14◦54.4 144◦56.3 19◦54.5 238◦04.0 -16◦59.8 245◦14.9 -18◦49.84 210◦18.7 244◦18.2 -14◦53.4 159◦57.3 19◦54.9 253◦05.9 -16◦59.6 260◦17.1 -18◦49.75 225◦21.1 259◦17.6 -14◦52.4 174◦58.3 19◦55.2 268◦07.8 -16◦59.5 275◦19.3 -18◦49.66 240◦23.6 274◦17.0 -14◦51.5 189◦59.3 19◦55.6 283◦09.7 -16◦59.3 290◦21.5 -18◦49.67 255◦26.1 289◦16.4 -14◦50.5 205◦00.3 19◦56.0 298◦11.5 -16◦59.1 305◦23.7 -18◦49.58 270◦28.5 304◦15.8 -14◦49.5 220◦01.3 19◦56.4 313◦13.4 -16◦59.0 320◦25.8 -18◦49.49 285◦31.0 319◦15.2 -14◦48.5 235◦02.3 19◦56.7 328◦15.3 -16◦58.8 335◦28.0 -18◦49.410 300◦33.5 334◦14.6 -14◦47.5 250◦03.3 19◦57.1 343◦17.2 -16◦58.6 350◦30.2 -18◦49.311 315◦35.9 349◦14.0 -14◦46.5 265◦04.3 19◦57.5 358◦19.1 -16◦58.5 5◦32.4 -18◦49.212 330◦38.4 4◦13.3 -14◦45.6 280◦05.3 19◦57.8 13◦21.0 -16◦58.3 20◦34.5 -18◦49.213 345◦40.9 19◦12.7 -14◦44.6 295◦06.3 19◦58.2 28◦22.8 -16◦58.1 35◦36.7 -18◦49.114 0◦43.3 34◦12.1 -14◦43.6 310◦07.3 19◦58.6 43◦24.7 -16◦58.0 50◦38.9 -18◦49.015 15◦45.8 49◦11.5 -14◦42.6 325◦08.4 19◦58.9 58◦26.6 -16◦57.8 65◦41.1 -18◦49.016 30◦48.3 64◦10.9 -14◦41.6 340◦09.4 19◦59.3 73◦28.5 -16◦57.6 80◦43.2 -18◦48.917 45◦50.7 79◦10.3 -14◦40.6 355◦10.4 19◦59.7 88◦30.4 -16◦57.5 95◦45.4 -18◦48.818 60◦53.2 94◦09.7 -14◦39.6 10◦11.4 20◦00.0 103◦32.2 -16◦57.3 110◦47.6 -18◦48.819 75◦55.6 109◦09.1 -14◦38.6 25◦12.4 20◦00.4 118◦34.1 -16◦57.1 125◦49.8 -18◦48.720 90◦58.1 124◦08.5 -14◦37.7 40◦13.4 20◦00.8 133◦36.0 -16◦57.0 140◦52.0 -18◦48.621 106◦00.6 139◦07.9 -14◦36.7 55◦14.4 20◦01.1 148◦37.9 -16◦56.8 155◦54.1 -18◦48.522 121◦03.0 154◦07.3 -14◦35.7 70◦15.4 20◦01.5 163◦39.8 -16◦56.6 170◦56.3 -18◦48.523 136◦05.5 169◦06.7 -14◦34.7 85◦16.4 20◦01.9 178◦41.7 -16◦56.5 185◦58.5 -18◦48.4Mer.pass.:13:57 v-0.6 d1.0 m-3.8 v1.0 d0.4 m0.8 v1.9 d0.2 m-1.8 v2.2 d0.1 m0.7

StarsSHA Dec

Alpheratz 357◦38.3 29◦12.3Ankaa 353◦10.6 -42◦11.8

Schedar 349◦35.0 56◦39.2Diphda 348◦50.6 -17◦52.5

Achernar 335◦23.0 -57◦08.2Hamal 327◦54.9 23◦33.7Polaris 315◦35.0 89◦21.4Akamar 315◦14.3 -40◦13.6Menkar 314◦09.5 4◦10.2Mirfak 308◦32.8 49◦56.2

Aldebaran 290◦43.2 16◦33.0Rigel 281◦06.8 -8◦10.9

Capella 280◦26.4 46◦01.3Bellatrix 278◦26.1 6◦22.0Elnath 278◦05.7 28◦37.5Alnilam 275◦40.8 -1◦11.5

Betelgeuse 270◦55.3 7◦24.5Canopus 263◦53.5 -52◦42.7

Sirius 258◦28.7 -16◦44.7Adara 255◦08.1 -29◦00.3

Procyon 244◦53.8 5◦10.3Pollux 243◦20.8 27◦58.5Avior 234◦15.4 -59◦34.7Suhail 222◦48.1 -43◦31.1

Miaplacidus 221◦37.9 -69◦48.2Alphard 217◦50.5 -8◦45.1Regulus 207◦37.4 11◦51.8Dubhe 193◦44.3 61◦38.2

Denebola 182◦27.8 14◦27.2Gienah 175◦46.5 -17◦39.5Acrux 173◦03.0 -63◦12.7

Gacrux 171◦54.6 -57◦13.7Alioth 166◦15.5 55◦50.6Spica 158◦25.4 -11◦16.2Alcaid 152◦54.3 49◦12.3Hadar 148◦40.1 -60◦28.2

Menkent 148◦01.1 -36◦28.2Arcturus 145◦50.5 19◦04.5

Rigil Kent. 139◦44.4 -60◦55.0Zubenelg. 136◦59.4 -16◦07.7Kochab 137◦19.6 74◦03.9

Alphecca 126◦06.4 26◦38.5Antares 112◦19.7 -26◦28.6

Atria 107◦17.0 -69◦03.6Sabik 102◦06.5 -15◦45.0

Shaula 96◦14.8 -37◦07.0Rasalhague 96◦01.6 12◦32.6

Etamin 90◦43.9 51◦28.9Kaus Aust. 83◦36.9 -34◦22.4

Vega 80◦35.7 38◦47.9Nunki 75◦51.9 -26◦16.2Altair 62◦03.4 8◦55.3

Peacock 53◦11.3 -56◦40.0Deneb 49◦28.3 45◦21.2

Enif 33◦42.2 9◦58.1Alnair 27◦37.4 -46◦51.7

Fomalhaut 15◦18.4 -29◦30.8Scheat 13◦48.6 28◦11.7Markab 13◦33.3 15◦19.0

2021/2/1 SHA Mer.passVenus 36◦40.0 11:41Mars 310◦53.9 17:23

Jupiter 43◦17.6 11:13Saturn 50◦13.5 10:45

2021/2/1 SHA Mer.passVenus 35◦25.8 11:42Mars 310◦19.2 17:21

Jupiter 43◦03.6 11:10Saturn 50◦06.5 10:41

2021/2/2 SHA Mer.passVenus 34◦11.8 11:43Mars 309◦44.4 17:19

Jupiter 42◦49.5 11:07Saturn 49◦59.6 10:38

Horizontal paralaxVenus: 0.1Mars: 0.1

34

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2021 February 18 to Feb. 20

h Sun MoonThu GHA Dec GHA ν Dec d HP0 176◦31.1 -11◦37.8 109◦20.2 15.4 12◦02.4 11.2 54.21 191◦31.1 -11◦36.9 123◦54.6 15.4 12◦13.6 11.1 54.22 206◦31.2 -11◦36.0 138◦29.0 15.4 12◦24.6 11.1 54.23 221◦31.2 -11◦35.1 153◦03.3 15.3 12◦35.7 11.0 54.24 236◦31.3 -11◦34.2 167◦37.6 15.3 12◦46.7 11.0 54.25 251◦31.3 -11◦33.3 182◦11.9 15.3 12◦57.6 10.9 54.26 266◦31.4 -11◦32.5 196◦46.1 15.2 13◦08.5 10.9 54.27 281◦31.4 -11◦31.6 211◦20.3 15.2 13◦19.3 10.8 54.28 296◦31.5 -11◦30.7 225◦54.5 15.1 13◦30.1 10.7 54.29 311◦31.6 -11◦29.8 240◦28.6 15.1 13◦40.8 10.7 54.210 326◦31.6 -11◦28.9 255◦02.6 15.1 13◦51.4 10.6 54.211 341◦31.7 -11◦28.0 269◦36.7 15.0 14◦02.1 10.6 54.212 356◦31.7 -11◦27.1 284◦10.7 15.0 14◦12.6 10.5 54.213 11◦31.8 -11◦26.3 298◦44.6 14.9 14◦23.1 10.5 54.214 26◦31.8 -11◦25.4 313◦18.5 14.9 14◦33.5 10.4 54.215 41◦31.9 -11◦24.5 327◦52.4 14.8 14◦43.9 10.4 54.216 56◦31.9 -11◦23.6 342◦26.2 14.8 14◦54.3 10.3 54.217 71◦32.0 -11◦22.7 356◦59.9 14.7 15◦04.5 10.2 54.218 86◦32.1 -11◦21.8 11◦33.6 14.7 15◦14.7 10.2 54.219 101◦32.1 -11◦20.9 26◦07.3 14.6 15◦24.9 10.1 54.220 116◦32.2 -11◦20.0 40◦40.9 14.6 15◦35.0 10.1 54.221 131◦32.2 -11◦19.1 55◦14.5 14.5 15◦45.0 10.0 54.222 146◦32.3 -11◦18.3 69◦48.0 14.5 15◦54.9 9.9 54.223 161◦32.3 -11◦17.4 84◦21.5 14.4 16◦04.8 9.9 54.2

SD.=16.2 d=0.9 S.D.=14.8

Fri GHA Dec GHA ν Dec d HP0 176◦32.4 -11◦16.5 98◦54.9 14.4 16◦14.7 9.8 54.21 191◦32.5 -11◦15.6 113◦28.3 14.3 16◦24.4 9.7 54.22 206◦32.5 -11◦14.7 128◦01.6 14.3 16◦34.1 9.7 54.23 221◦32.6 -11◦13.8 142◦34.8 14.2 16◦43.8 9.6 54.34 236◦32.6 -11◦12.9 157◦08.0 14.2 16◦53.3 9.5 54.35 251◦32.7 -11◦12.0 171◦41.2 14.1 17◦02.8 9.5 54.36 266◦32.8 -11◦11.1 186◦14.3 14.1 17◦12.3 9.4 54.37 281◦32.8 -11◦10.2 200◦47.3 14.0 17◦21.6 9.3 54.38 296◦32.9 -11◦09.3 215◦20.3 14.0 17◦30.9 9.3 54.39 311◦32.9 -11◦08.4 229◦53.2 13.9 17◦40.2 9.2 54.310 326◦33.0 -11◦07.5 244◦26.1 13.8 17◦49.3 9.1 54.311 341◦33.1 -11◦06.7 258◦58.9 13.8 17◦58.4 9.0 54.312 356◦33.1 -11◦05.8 273◦31.7 13.7 18◦07.4 9.0 54.313 11◦33.2 -11◦04.9 288◦04.4 13.7 18◦16.3 8.9 54.314 26◦33.2 -11◦04.0 302◦37.0 13.6 18◦25.2 8.8 54.315 41◦33.3 -11◦03.1 317◦09.6 13.5 18◦34.0 8.7 54.316 56◦33.4 -11◦02.2 331◦42.1 13.5 18◦42.7 8.7 54.317 71◦33.4 -11◦01.3 346◦14.5 13.4 18◦51.3 8.6 54.418 86◦33.5 -11◦00.4 0◦46.9 13.4 18◦59.9 8.5 54.419 101◦33.6 -10◦59.5 15◦19.3 13.3 19◦08.3 8.4 54.420 116◦33.6 -10◦58.6 29◦51.5 13.2 19◦16.7 8.4 54.421 131◦33.7 -10◦57.7 44◦23.7 13.2 19◦25.1 8.3 54.422 146◦33.8 -10◦56.8 58◦55.9 13.1 19◦33.3 8.2 54.423 161◦33.8 -10◦55.9 73◦28.0 13.0 19◦41.5 8.1 54.4

SD.=16.2 d=0.9 S.D.=14.8

Sat GHA Dec GHA ν Dec d HP0 176◦33.9 -10◦55.0 87◦60.0 13.0 19◦49.5 8.0 54.41 191◦34.0 -10◦54.1 102◦31.9 12.9 19◦57.5 7.9 54.42 206◦34.0 -10◦53.2 117◦03.8 12.9 20◦05.4 7.9 54.43 221◦34.1 -10◦52.3 131◦35.6 12.8 20◦13.2 7.8 54.54 236◦34.2 -10◦51.4 146◦07.4 12.7 20◦21.0 7.7 54.55 251◦34.2 -10◦50.5 160◦39.1 12.7 20◦28.6 7.6 54.56 266◦34.3 -10◦49.6 175◦10.7 12.6 20◦36.2 7.5 54.57 281◦34.4 -10◦48.7 189◦42.3 12.5 20◦43.7 7.4 54.58 296◦34.4 -10◦47.8 204◦13.7 12.5 20◦51.1 7.3 54.59 311◦34.5 -10◦46.9 218◦45.2 12.4 20◦58.4 7.3 54.510 326◦34.6 -10◦46.0 233◦16.5 12.3 21◦05.6 7.2 54.611 341◦34.6 -10◦45.1 247◦47.8 12.3 21◦12.7 7.1 54.612 356◦34.7 -10◦44.2 262◦19.0 12.2 21◦19.7 7.0 54.613 11◦34.8 -10◦43.3 276◦50.2 12.1 21◦26.7 6.9 54.614 26◦34.8 -10◦42.4 291◦21.3 12.1 21◦33.5 6.8 54.615 41◦34.9 -10◦41.5 305◦52.3 12.0 21◦40.3 6.7 54.616 56◦35.0 -10◦40.6 320◦23.2 11.9 21◦46.9 6.6 54.617 71◦35.1 -10◦39.7 334◦54.1 11.8 21◦53.5 6.5 54.718 86◦35.1 -10◦38.8 349◦24.9 11.8 21◦59.9 6.4 54.719 101◦35.2 -10◦37.9 3◦55.7 11.7 22◦06.3 6.3 54.720 116◦35.3 -10◦37.0 18◦26.4 11.6 22◦12.6 6.2 54.721 131◦35.3 -10◦36.1 32◦57.0 11.6 22◦18.7 6.1 54.722 146◦35.4 -10◦35.2 47◦27.5 11.5 22◦24.8 6.0 54.723 161◦35.5 -10◦34.3 61◦58.0 11.4 22◦30.7 5.9 54.8

SD.=16.2 d=0.9 S.D.=14.8

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 05:56 07:15 08:30 15:60 17:15 18:3470 05:56 07:07 08:13 16:16 17:22 18:3368 05:56 07:01 08:00 16:29 17:28 18:3366 05:56 06:56 07:50 16:39 17:33 18:3364 05:56 06:51 07:41 16:48 17:38 18:3362 05:56 06:47 07:33 16:56 17:42 18:3360 05:55 06:43 07:27 17:02 17:45 18:3458 05:55 06:40 07:21 17:08 17:48 18:3456 05:54 06:37 07:16 17:13 17:51 18:3554 05:54 06:35 07:11 17:18 17:54 18:3552 05:53 06:32 07:07 17:22 17:56 18:3650 05:52 06:30 07:03 17:26 17:59 18:3645 05:50 06:25 06:54 17:34 18:04 18:3840 05:48 06:20 06:47 17:41 18:08 18:4035 05:46 06:16 06:41 17:47 18:12 18:4230 05:44 06:12 06:36 17:52 18:16 18:4420 05:39 06:04 06:27 18:01 18:24 18:4910 05:32 05:57 06:18 18:09 18:31 18:550 05:25 05:49 06:10 18:17 18:38 19:03-10 05:16 05:41 06:02 18:25 18:46 19:11-20 05:05 05:31 05:54 18:34 18:56 19:23-30 04:50 05:19 05:44 18:43 19:08 19:37-35 04:40 05:11 05:38 18:49 19:15 19:47-40 04:29 05:03 05:31 18:56 19:24 19:58-45 04:14 04:52 05:23 19:03 19:34 20:12-50 03:56 04:39 05:14 19:13 19:47 20:30-52 03:47 04:33 05:09 19:17 19:53 20:39-54 03:37 04:26 05:05 19:22 20:00 20:49-56 03:25 04:18 04:59 19:27 20:08 21:01-58 03:10 04:09 04:53 19:33 20:17 21:15-60 02:53 03:59 04:46 19:40 20:27 21:31

Moonrise MoonsetLat. Thu Fri Sat Thu Fri Sat72 07:48 06:46 –:– 01:33 04:05 –:–70 08:12 07:41 –:– 01:10 03:11 –:–68 08:31 08:15 07:45 00:52 02:39 04:4366 08:47 08:39 08:29 00:39 02:15 03:5964 08:59 08:58 08:59 00:27 01:57 03:3062 09:10 09:14 09:22 00:17 01:42 03:0860 09:19 09:28 09:40 00:09 01:29 02:5158 09:27 09:39 09:55 00:02 01:19 02:3656 09:34 09:49 10:08 –:– 01:09 02:2354 09:41 09:58 10:20 –:– 01:01 02:1252 09:47 10:06 10:30 –:– 00:54 02:0350 09:52 10:13 10:39 –:– 00:47 01:5445 10:03 10:28 10:58 –:– 00:33 01:3640 10:13 10:41 11:14 –:– 00:21 01:2135 10:21 10:52 11:27 –:– 00:11 01:0930 10:28 11:01 11:39 –:– 00:03 00:5820 10:41 11:18 11:58 23:48 –:– 00:3910 10:52 11:32 12:16 23:35 –:– 00:230 11:02 11:46 12:32 23:23 –:– 00:08-10 11:12 11:59 12:49 23:11 23:53 –:–-20 11:24 12:14 13:06 22:58 23:37 –:–-30 11:36 12:31 13:27 22:43 23:18 23:58-35 11:44 12:41 13:39 22:35 23:08 23:45-40 11:53 12:52 13:52 22:25 22:56 23:31-45 12:03 13:06 14:09 22:14 22:41 23:14-50 12:15 13:22 14:29 22:01 22:24 22:53-52 12:21 13:30 14:39 21:54 22:16 22:43-54 12:27 13:38 14:49 21:48 22:07 22:32-56 12:34 13:48 15:02 21:40 21:56 22:19-58 12:42 13:59 15:16 21:31 21:45 22:04-60 12:51 14:12 15:33 21:21 21:31 21:46

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower18 13:56 13:53 12:13 17:12 04:50 7(38%)19 13:50 13:47 12:13 17:56 05:34 8(47%)20 13:44 13:41 12:13 18:43 06:19 9(57%)

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February 21, 22 ,23 (Sun., Mon., Tue.)Aries Venus Mars Jupiter Saturn

Sun GHA GHA Dec GHA Dec GHA Dec GHA Dec0 151◦08.0 184◦06.1 -14◦33.7 100◦17.4 20◦02.2 193◦43.5 -16◦56.3 201◦00.7 -18◦48.31 166◦10.4 199◦05.5 -14◦32.7 115◦18.4 20◦02.6 208◦45.4 -16◦56.2 216◦02.8 -18◦48.32 181◦12.9 214◦04.9 -14◦31.7 130◦19.4 20◦03.0 223◦47.3 -16◦56.0 231◦05.0 -18◦48.23 196◦15.4 229◦04.3 -14◦30.7 145◦20.4 20◦03.4 238◦49.2 -16◦55.8 246◦07.2 -18◦48.14 211◦17.8 244◦03.7 -14◦29.7 160◦21.4 20◦03.7 253◦51.1 -16◦55.7 261◦09.4 -18◦48.15 226◦20.3 259◦03.1 -14◦28.7 175◦22.4 20◦04.1 268◦53.0 -16◦55.5 276◦11.6 -18◦48.06 241◦22.8 274◦02.5 -14◦27.7 190◦23.4 20◦04.4 283◦54.8 -16◦55.3 291◦13.7 -18◦47.97 256◦25.2 289◦01.9 -14◦26.7 205◦24.4 20◦04.8 298◦56.7 -16◦55.2 306◦15.9 -18◦47.98 271◦27.7 304◦01.3 -14◦25.7 220◦25.4 20◦05.2 313◦58.6 -16◦55.0 321◦18.1 -18◦47.89 286◦30.1 319◦00.7 -14◦24.7 235◦26.4 20◦05.5 329◦00.5 -16◦54.8 336◦20.3 -18◦47.710 301◦32.6 334◦00.2 -14◦23.7 250◦27.4 20◦05.9 344◦02.4 -16◦54.7 351◦22.4 -18◦47.711 316◦35.1 348◦59.6 -14◦22.7 265◦28.4 20◦06.3 359◦04.3 -16◦54.5 6◦24.6 -18◦47.612 331◦37.5 3◦59.0 -14◦21.7 280◦29.4 20◦06.6 14◦06.1 -16◦54.3 21◦26.8 -18◦47.513 346◦40.0 18◦58.4 -14◦20.7 295◦30.4 20◦07.0 29◦08.0 -16◦54.2 36◦29.0 -18◦47.514 1◦42.5 33◦57.8 -14◦19.7 310◦31.4 20◦07.4 44◦09.9 -16◦54.0 51◦31.2 -18◦47.415 16◦44.9 48◦57.2 -14◦18.7 325◦32.4 20◦07.7 59◦11.8 -16◦53.8 66◦33.3 -18◦47.316 31◦47.4 63◦56.6 -14◦17.7 340◦33.4 20◦08.1 74◦13.7 -16◦53.7 81◦35.5 -18◦47.317 46◦49.9 78◦56.0 -14◦16.7 355◦34.4 20◦08.5 89◦15.6 -16◦53.5 96◦37.7 -18◦47.218 61◦52.3 93◦55.4 -14◦15.7 10◦35.4 20◦08.8 104◦17.4 -16◦53.3 111◦39.9 -18◦47.119 76◦54.8 108◦54.8 -14◦14.7 25◦36.4 20◦09.2 119◦19.3 -16◦53.2 126◦42.1 -18◦47.120 91◦57.3 123◦54.2 -14◦13.7 40◦37.4 20◦09.6 134◦21.2 -16◦53.0 141◦44.2 -18◦47.021 106◦59.7 138◦53.6 -14◦12.7 55◦38.4 20◦09.9 149◦23.1 -16◦52.8 156◦46.4 -18◦46.922 122◦02.2 153◦53.1 -14◦11.7 70◦39.4 20◦10.3 164◦25.0 -16◦52.7 171◦48.6 -18◦46.823 137◦04.6 168◦52.5 -14◦10.7 85◦40.4 20◦10.7 179◦26.9 -16◦52.5 186◦50.8 -18◦46.8Mer.pass.:13:53 v-0.6 d1.0 m-3.8 v1.0 d0.4 m0.8 v1.9 d0.2 m-1.8 v2.2 d0.1 m0.7

Mon GHA GHA Dec GHA Dec GHA Dec GHA Dec0 152◦07.1 183◦51.9 -14◦09.6 100◦41.4 20◦11.0 194◦28.7 -16◦52.3 201◦53.0 -18◦46.71 167◦09.6 198◦51.3 -14◦08.6 115◦42.4 20◦11.4 209◦30.6 -16◦52.2 216◦55.1 -18◦46.62 182◦12.0 213◦50.7 -14◦07.6 130◦43.4 20◦11.7 224◦32.5 -16◦52.0 231◦57.3 -18◦46.63 197◦14.5 228◦50.1 -14◦06.6 145◦44.4 20◦12.1 239◦34.4 -16◦51.8 246◦59.5 -18◦46.54 212◦17.0 243◦49.5 -14◦05.6 160◦45.4 20◦12.5 254◦36.3 -16◦51.7 262◦01.7 -18◦46.45 227◦19.4 258◦49.0 -14◦04.6 175◦46.4 20◦12.8 269◦38.2 -16◦51.5 277◦03.9 -18◦46.46 242◦21.9 273◦48.4 -14◦03.6 190◦47.4 20◦13.2 284◦40.1 -16◦51.3 292◦06.0 -18◦46.37 257◦24.4 288◦47.8 -14◦02.6 205◦48.4 20◦13.6 299◦41.9 -16◦51.2 307◦08.2 -18◦46.28 272◦26.8 303◦47.2 -14◦01.5 220◦49.4 20◦13.9 314◦43.8 -16◦51.0 322◦10.4 -18◦46.29 287◦29.3 318◦46.6 -14◦00.5 235◦50.4 20◦14.3 329◦45.7 -16◦50.9 337◦12.6 -18◦46.110 302◦31.7 333◦46.0 -13◦59.5 250◦51.4 20◦14.6 344◦47.6 -16◦50.7 352◦14.7 -18◦46.011 317◦34.2 348◦45.5 -13◦58.5 265◦52.4 20◦15.0 359◦49.5 -16◦50.5 7◦16.9 -18◦46.012 332◦36.7 3◦44.9 -13◦57.5 280◦53.4 20◦15.4 14◦51.4 -16◦50.4 22◦19.1 -18◦45.913 347◦39.1 18◦44.3 -13◦56.5 295◦54.4 20◦15.7 29◦53.2 -16◦50.2 37◦21.3 -18◦45.814 2◦41.6 33◦43.7 -13◦55.4 310◦55.4 20◦16.1 44◦55.1 -16◦50.0 52◦23.5 -18◦45.815 17◦44.1 48◦43.1 -13◦54.4 325◦56.4 20◦16.4 59◦57.0 -16◦49.9 67◦25.6 -18◦45.716 32◦46.5 63◦42.5 -13◦53.4 340◦57.4 20◦16.8 74◦58.9 -16◦49.7 82◦27.8 -18◦45.617 47◦49.0 78◦42.0 -13◦52.4 355◦58.4 20◦17.2 90◦00.8 -16◦49.5 97◦30.0 -18◦45.618 62◦51.5 93◦41.4 -13◦51.4 10◦59.4 20◦17.5 105◦02.7 -16◦49.4 112◦32.2 -18◦45.519 77◦53.9 108◦40.8 -13◦50.3 26◦00.4 20◦17.9 120◦04.6 -16◦49.2 127◦34.4 -18◦45.420 92◦56.4 123◦40.2 -13◦49.3 41◦01.4 20◦18.2 135◦06.4 -16◦49.0 142◦36.6 -18◦45.421 107◦58.9 138◦39.7 -13◦48.3 56◦02.4 20◦18.6 150◦08.3 -16◦48.9 157◦38.7 -18◦45.322 123◦01.3 153◦39.1 -13◦47.3 71◦03.3 20◦19.0 165◦10.2 -16◦48.7 172◦40.9 -18◦45.223 138◦03.8 168◦38.5 -13◦46.2 86◦04.3 20◦19.3 180◦12.1 -16◦48.5 187◦43.1 -18◦45.2Mer.pass.:13:49 v-0.6 d1.0 m-3.8 v1.0 d0.4 m0.8 v1.9 d0.2 m-1.8 v2.2 d0.1 m0.7

Tue GHA GHA Dec GHA Dec GHA Dec GHA Dec0 153◦06.2 183◦37.9 -13◦45.2 101◦05.3 20◦19.7 195◦14.0 -16◦48.4 202◦45.3 -18◦45.11 168◦08.7 198◦37.4 -13◦44.2 116◦06.3 20◦20.0 210◦15.9 -16◦48.2 217◦47.5 -18◦45.02 183◦11.2 213◦36.8 -13◦43.2 131◦07.3 20◦20.4 225◦17.8 -16◦48.0 232◦49.6 -18◦45.03 198◦13.6 228◦36.2 -13◦42.1 146◦08.3 20◦20.8 240◦19.6 -16◦47.9 247◦51.8 -18◦44.94 213◦16.1 243◦35.6 -13◦41.1 161◦09.3 20◦21.1 255◦21.5 -16◦47.7 262◦54.0 -18◦44.85 228◦18.6 258◦35.1 -13◦40.1 176◦10.3 20◦21.5 270◦23.4 -16◦47.5 277◦56.2 -18◦44.76 243◦21.0 273◦34.5 -13◦39.1 191◦11.3 20◦21.8 285◦25.3 -16◦47.4 292◦58.4 -18◦44.77 258◦23.5 288◦33.9 -13◦38.0 206◦12.3 20◦22.2 300◦27.2 -16◦47.2 308◦00.5 -18◦44.68 273◦26.0 303◦33.3 -13◦37.0 221◦13.3 20◦22.5 315◦29.1 -16◦47.0 323◦02.7 -18◦44.59 288◦28.4 318◦32.8 -13◦36.0 236◦14.3 20◦22.9 330◦31.0 -16◦46.9 338◦04.9 -18◦44.510 303◦30.9 333◦32.2 -13◦34.9 251◦15.2 20◦23.3 345◦32.9 -16◦46.7 353◦07.1 -18◦44.411 318◦33.4 348◦31.6 -13◦33.9 266◦16.2 20◦23.6 0◦34.7 -16◦46.5 8◦09.3 -18◦44.312 333◦35.8 3◦31.1 -13◦32.9 281◦17.2 20◦24.0 15◦36.6 -16◦46.4 23◦11.4 -18◦44.313 348◦38.3 18◦30.5 -13◦31.8 296◦18.2 20◦24.3 30◦38.5 -16◦46.2 38◦13.6 -18◦44.214 3◦40.7 33◦29.9 -13◦30.8 311◦19.2 20◦24.7 45◦40.4 -16◦46.0 53◦15.8 -18◦44.115 18◦43.2 48◦29.3 -13◦29.8 326◦20.2 20◦25.0 60◦42.3 -16◦45.9 68◦18.0 -18◦44.116 33◦45.7 63◦28.8 -13◦28.7 341◦21.2 20◦25.4 75◦44.2 -16◦45.7 83◦20.2 -18◦44.017 48◦48.1 78◦28.2 -13◦27.7 356◦22.2 20◦25.8 90◦46.1 -16◦45.5 98◦22.4 -18◦43.918 63◦50.6 93◦27.6 -13◦26.7 11◦23.2 20◦26.1 105◦47.9 -16◦45.4 113◦24.5 -18◦43.919 78◦53.1 108◦27.1 -13◦25.6 26◦24.2 20◦26.5 120◦49.8 -16◦45.2 128◦26.7 -18◦43.820 93◦55.5 123◦26.5 -13◦24.6 41◦25.1 20◦26.8 135◦51.7 -16◦45.0 143◦28.9 -18◦43.721 108◦58.0 138◦25.9 -13◦23.5 56◦26.1 20◦27.2 150◦53.6 -16◦44.9 158◦31.1 -18◦43.722 124◦00.5 153◦25.4 -13◦22.5 71◦27.1 20◦27.5 165◦55.5 -16◦44.7 173◦33.3 -18◦43.623 139◦02.9 168◦24.8 -13◦21.5 86◦28.1 20◦27.9 180◦57.4 -16◦44.5 188◦35.5 -18◦43.5Mer.pass.:13:45 v-0.6 d1.0 m-3.8 v1.0 d0.4 m0.8 v1.9 d0.2 m-1.8 v2.2 d0.1 m0.7

StarsSHA Dec

Alpheratz 357◦38.3 29◦12.3Ankaa 353◦10.6 -42◦11.8

Schedar 349◦35.0 56◦39.2Diphda 348◦50.6 -17◦52.5

Achernar 335◦23.0 -57◦08.1Hamal 327◦54.9 23◦33.6Polaris 315◦36.2 89◦21.4Akamar 315◦14.3 -40◦13.6Menkar 314◦09.5 4◦10.2Mirfak 308◦32.8 49◦56.2

Aldebaran 290◦43.2 16◦33.0Rigel 281◦06.8 -8◦10.9

Capella 280◦26.4 46◦01.3Bellatrix 278◦26.1 6◦22.0Elnath 278◦05.7 28◦37.5Alnilam 275◦40.8 -1◦11.5

Betelgeuse 270◦55.3 7◦24.5Canopus 263◦53.5 -52◦42.7

Sirius 258◦28.7 -16◦44.7Adara 255◦08.1 -29◦00.3

Procyon 244◦53.8 5◦10.3Pollux 243◦20.8 27◦58.5Avior 234◦15.4 -59◦34.8Suhail 222◦48.1 -43◦31.2

Miaplacidus 221◦37.9 -69◦48.3Alphard 217◦50.5 -8◦45.1Regulus 207◦37.4 11◦51.8Dubhe 193◦44.3 61◦38.2

Denebola 182◦27.8 14◦27.2Gienah 175◦46.5 -17◦39.5Acrux 173◦02.9 -63◦12.7

Gacrux 171◦54.6 -57◦13.7Alioth 166◦15.5 55◦50.6Spica 158◦25.4 -11◦16.2Alcaid 152◦54.3 49◦12.3Hadar 148◦40.1 -60◦28.2

Menkent 148◦01.1 -36◦28.2Arcturus 145◦50.5 19◦04.5

Rigil Kent. 139◦44.3 -60◦55.0Zubenelg. 136◦59.4 -16◦07.7Kochab 137◦19.5 74◦03.9

Alphecca 126◦06.4 26◦38.5Antares 112◦19.7 -26◦28.6

Atria 107◦16.9 -69◦03.6Sabik 102◦06.5 -15◦45.0

Shaula 96◦14.8 -37◦07.0Rasalhague 96◦01.6 12◦32.6

Etamin 90◦43.9 51◦28.9Kaus Aust. 83◦36.9 -34◦22.4

Vega 80◦35.6 38◦47.9Nunki 75◦51.9 -26◦16.2Altair 62◦03.4 8◦55.3

Peacock 53◦11.2 -56◦40.0Deneb 49◦28.3 45◦21.1

Enif 33◦42.2 9◦58.1Alnair 27◦37.4 -46◦51.6

Fomalhaut 15◦18.4 -29◦30.8Scheat 13◦48.6 28◦11.7Markab 13◦33.3 15◦19.0

2021/2/2 SHA Mer.passVenus 32◦58.2 11:44Mars 309◦09.4 17:18

Jupiter 42◦35.6 11:04Saturn 49◦52.7 10:34

2021/2/2 SHA Mer.passVenus 31◦44.8 11:45Mars 308◦34.3 17:16

Jupiter 42◦21.6 11:01Saturn 49◦45.8 10:31

2021/2/2 SHA Mer.passVenus 30◦31.7 11:46Mars 307◦59.1 17:15

Jupiter 42◦07.7 10:58Saturn 49◦39.0 10:27

Horizontal paralaxVenus: 0.1Mars: 0.1

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2021 February 21 to Feb. 23

h Sun MoonSun GHA Dec GHA ν Dec d HP0 176◦35.6 -10◦33.4 76◦28.4 11.4 22◦36.6 5.8 54.81 191◦35.6 -10◦32.5 90◦58.7 11.3 22◦42.4 5.7 54.82 206◦35.7 -10◦31.6 105◦29.0 11.2 22◦48.0 5.6 54.83 221◦35.8 -10◦30.7 119◦59.2 11.2 22◦53.6 5.5 54.84 236◦35.8 -10◦29.8 134◦29.3 11.1 22◦59.0 5.4 54.95 251◦35.9 -10◦28.9 148◦59.4 11.0 23◦04.4 5.3 54.96 266◦36.0 -10◦27.9 163◦29.4 11.0 23◦09.6 5.2 54.97 281◦36.1 -10◦27.0 177◦59.3 10.9 23◦14.8 5.1 54.98 296◦36.1 -10◦26.1 192◦29.2 10.8 23◦19.8 5.0 54.99 311◦36.2 -10◦25.2 206◦59.0 10.8 23◦24.7 4.9 55.010 326◦36.3 -10◦24.3 221◦28.7 10.7 23◦29.5 4.7 55.011 341◦36.4 -10◦23.4 235◦58.4 10.6 23◦34.2 4.6 55.012 356◦36.4 -10◦22.5 250◦28.0 10.6 23◦38.8 4.5 55.013 11◦36.5 -10◦21.6 264◦57.5 10.5 23◦43.2 4.4 55.014 26◦36.6 -10◦20.7 279◦26.9 10.4 23◦47.6 4.3 55.115 41◦36.7 -10◦19.8 293◦56.3 10.4 23◦51.8 4.2 55.116 56◦36.8 -10◦18.9 308◦25.7 10.3 23◦56.0 4.1 55.117 71◦36.8 -10◦18.0 322◦55.0 10.2 23◦60.0 4.0 55.118 86◦36.9 -10◦17.0 337◦24.2 10.2 24◦03.9 3.8 55.219 101◦37.0 -10◦16.1 351◦53.3 10.1 24◦07.7 3.7 55.220 116◦37.1 -10◦15.2 6◦22.4 10.1 24◦11.3 3.6 55.221 131◦37.1 -10◦14.3 20◦51.4 10.0 24◦14.9 3.5 55.222 146◦37.2 -10◦13.4 35◦20.4 9.9 24◦18.3 3.4 55.323 161◦37.3 -10◦12.5 49◦49.3 9.9 24◦21.6 3.2 55.3

SD.=16.2 d=0.9 S.D.=14.9

Mon GHA Dec GHA ν Dec d HP0 176◦37.4 -10◦11.6 64◦18.1 9.8 24◦24.8 3.1 55.31 191◦37.5 -10◦10.7 78◦46.9 9.7 24◦27.9 3.0 55.32 206◦37.5 -10◦09.8 93◦15.6 9.7 24◦30.8 2.9 55.43 221◦37.6 -10◦08.9 107◦44.2 9.6 24◦33.6 2.8 55.44 236◦37.7 -10◦07.9 122◦12.8 9.6 24◦36.3 2.6 55.45 251◦37.8 -10◦07.0 136◦41.4 9.5 24◦38.9 2.5 55.46 266◦37.9 -10◦06.1 151◦09.9 9.5 24◦41.4 2.4 55.57 281◦37.9 -10◦05.2 165◦38.3 9.4 24◦43.7 2.3 55.58 296◦38.0 -10◦04.3 180◦06.7 9.3 24◦45.9 2.1 55.59 311◦38.1 -10◦03.4 194◦35.0 9.3 24◦47.9 2.0 55.510 326◦38.2 -10◦02.5 209◦03.3 9.2 24◦49.9 1.9 55.611 341◦38.3 -10◦01.5 223◦31.5 9.2 24◦51.7 1.8 55.612 356◦38.4 -10◦00.6 237◦59.6 9.1 24◦53.4 1.6 55.613 11◦38.4 -9◦59.7 252◦27.7 9.1 24◦54.9 1.5 55.614 26◦38.5 -9◦58.8 266◦55.8 9.0 24◦56.4 1.4 55.715 41◦38.6 -9◦57.9 281◦23.8 9.0 24◦57.7 1.2 55.716 56◦38.7 -9◦57.0 295◦51.8 8.9 24◦58.8 1.1 55.717 71◦38.8 -9◦56.1 310◦19.7 8.9 24◦59.9 1.0 55.818 86◦38.9 -9◦55.1 324◦47.5 8.8 25◦00.8 0.8 55.819 101◦38.9 -9◦54.2 339◦15.3 8.8 25◦01.5 0.7 55.820 116◦39.0 -9◦53.3 353◦43.1 8.8 25◦02.2 0.6 55.821 131◦39.1 -9◦52.4 8◦10.8 8.7 25◦02.7 0.4 55.922 146◦39.2 -9◦51.5 22◦38.5 8.7 25◦03.0 0.3 55.923 161◦39.3 -9◦50.6 37◦06.2 8.6 25◦03.3 0.2 55.9

SD.=16.2 d=0.9 S.D.=15.1

Tue GHA Dec GHA ν Dec d HP0 176◦39.4 -9◦49.6 51◦33.8 8.6 25◦03.4 0.0 56.01 191◦39.5 -9◦48.7 66◦01.3 8.5 25◦03.3 -0.1 56.02 206◦39.5 -9◦47.8 80◦28.9 8.5 25◦03.1 -0.2 56.03 221◦39.6 -9◦46.9 94◦56.4 8.5 25◦02.8 -0.4 56.04 236◦39.7 -9◦46.0 109◦23.8 8.4 25◦02.4 -0.5 56.15 251◦39.8 -9◦45.0 123◦51.2 8.4 25◦01.8 -0.7 56.16 266◦39.9 -9◦44.1 138◦18.6 8.4 25◦01.1 -0.8 56.17 281◦40.0 -9◦43.2 152◦45.9 8.3 25◦00.2 -0.9 56.28 296◦40.1 -9◦42.3 167◦13.3 8.3 24◦59.2 -1.1 56.29 311◦40.2 -9◦41.4 181◦40.5 8.3 24◦58.0 -1.2 56.210 326◦40.2 -9◦40.4 196◦07.8 8.2 24◦56.8 -1.4 56.311 341◦40.3 -9◦39.5 210◦35.0 8.2 24◦55.3 -1.5 56.312 356◦40.4 -9◦38.6 225◦02.2 8.2 24◦53.8 -1.6 56.313 11◦40.5 -9◦37.7 239◦29.4 8.2 24◦52.1 -1.8 56.414 26◦40.6 -9◦36.8 253◦56.5 8.1 24◦50.2 -1.9 56.415 41◦40.7 -9◦35.8 268◦23.6 8.1 24◦48.2 -2.1 56.416 56◦40.8 -9◦34.9 282◦50.7 8.1 24◦46.1 -2.2 56.517 71◦40.9 -9◦34.0 297◦17.8 8.1 24◦43.8 -2.3 56.518 86◦41.0 -9◦33.1 311◦44.9 8.0 24◦41.4 -2.5 56.519 101◦41.1 -9◦32.2 326◦11.9 8.0 24◦38.9 -2.6 56.520 116◦41.1 -9◦31.2 340◦38.9 8.0 24◦36.2 -2.8 56.621 131◦41.2 -9◦30.3 355◦05.9 8.0 24◦33.3 -2.9 56.622 146◦41.3 -9◦29.4 9◦32.9 8.0 24◦30.4 -3.1 56.623 161◦41.4 -9◦28.5 23◦59.9 8.0 24◦27.2 -3.2 56.7

SD.=16.2 d=0.9 S.D.=15.3

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 05:43 07:01 08:13 16:16 17:28 18:4770 05:44 06:55 07:59 16:29 17:34 18:4568 05:45 06:50 07:48 16:41 17:39 18:4466 05:46 06:45 07:39 16:50 17:43 18:4264 05:47 06:42 07:31 16:57 17:47 18:4262 05:47 06:38 07:24 17:04 17:50 18:4160 05:47 06:36 07:18 17:10 17:53 18:4158 05:47 06:33 07:13 17:15 17:55 18:4156 05:47 06:30 07:08 17:19 17:57 18:4154 05:47 06:28 07:04 17:24 17:60 18:4152 05:47 06:26 07:00 17:27 18:02 18:4150 05:47 06:24 06:57 17:31 18:03 18:4145 05:46 06:20 06:50 17:38 18:08 18:4240 05:45 06:16 06:43 17:44 18:12 18:4335 05:43 06:12 06:38 17:49 18:15 18:4530 05:41 06:09 06:33 17:54 18:18 18:4620 05:37 06:02 06:25 18:02 18:25 18:5010 05:31 05:56 06:17 18:10 18:31 18:560 05:25 05:49 06:10 18:17 18:38 19:02-10 05:17 05:41 06:03 18:24 18:45 19:10-20 05:06 05:33 05:55 18:32 18:54 19:20-30 04:52 05:21 05:46 18:40 19:05 19:34-35 04:43 05:15 05:41 18:46 19:12 19:43-40 04:33 05:06 05:35 18:52 19:20 19:53-45 04:19 04:57 05:28 18:58 19:29 20:06-50 04:02 04:45 05:19 19:07 19:41 20:23-52 03:54 04:39 05:15 19:11 19:47 20:31-54 03:44 04:33 05:11 19:15 19:53 20:40-56 03:33 04:25 05:06 19:20 19:60 20:51-58 03:21 04:17 05:00 19:25 20:08 21:04-60 03:05 04:08 04:54 19:31 20:17 21:19

Moonrise MoonsetLat. Sun Mon Tue Sun Mon Tue72 –:– –:– –:– –:– –:– –:–70 –:– –:– –:– –:– –:– –:–68 –:– –:– –:– –:– –:– –:–66 08:11 –:– –:– 05:58 –:– –:–64 09:04 09:20 10:10 05:06 06:36 07:3862 09:36 10:04 10:56 04:34 05:52 06:5260 10:00 10:33 11:26 04:10 05:23 06:2258 10:19 10:56 11:49 03:52 05:01 05:5956 10:35 11:14 12:07 03:36 04:43 05:4054 10:49 11:29 12:23 03:22 04:28 05:2452 11:01 11:43 12:37 03:11 04:14 05:1150 11:12 11:54 12:48 03:00 04:03 04:5945 11:34 12:19 13:13 02:38 03:39 04:3440 11:52 12:38 13:32 02:21 03:19 04:1535 12:07 12:55 13:49 02:06 03:03 03:5830 12:21 13:09 14:03 01:54 02:49 03:4420 12:43 13:33 14:27 01:32 02:26 03:2010 13:03 13:54 14:48 01:13 02:05 02:590 13:21 14:13 15:07 00:56 01:46 02:39-10 13:40 14:33 15:27 00:38 01:27 02:19-20 13:60 14:54 15:47 00:19 01:06 01:58-30 14:23 15:18 16:11 –:– 00:43 01:34-35 14:36 15:32 16:26 –:– 00:29 01:20-40 14:52 15:49 16:42 –:– 00:13 01:03-45 15:10 16:09 17:01 23:54 –:– 00:43-50 15:34 16:34 17:26 23:30 –:– 00:18-52 15:45 16:46 17:38 23:19 –:– 00:06-54 15:58 16:59 17:51 23:06 23:52 –:–-56 16:12 17:15 18:06 22:51 23:36 –:–-58 16:30 17:34 18:25 22:33 23:17 –:–-60 16:51 17:58 18:47 22:12 22:53 23:57

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower21 13:38 13:34 12:13 19:33 07:08 10(66%)22 13:30 13:26 12:13 20:26 07:59 11(75%)23 13:22 13:18 12:13 21:20 08:53 12(83%)

37

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February 24, 25 ,26 (Wed., Thu., Fri.)Aries Venus Mars Jupiter Saturn

Wed GHA GHA Dec GHA Dec GHA Dec GHA Dec0 154◦05.4 183◦24.2 -13◦20.4 101◦29.1 20◦28.2 195◦59.3 -16◦44.4 203◦37.6 -18◦43.51 169◦07.9 198◦23.7 -13◦19.4 116◦30.1 20◦28.6 211◦01.2 -16◦44.2 218◦39.8 -18◦43.42 184◦10.3 213◦23.1 -13◦18.3 131◦31.1 20◦29.0 226◦03.0 -16◦44.0 233◦42.0 -18◦43.33 199◦12.8 228◦22.6 -13◦17.3 146◦32.0 20◦29.3 241◦04.9 -16◦43.9 248◦44.2 -18◦43.34 214◦15.2 243◦22.0 -13◦16.2 161◦33.0 20◦29.7 256◦06.8 -16◦43.7 263◦46.4 -18◦43.25 229◦17.7 258◦21.4 -13◦15.2 176◦34.0 20◦30.0 271◦08.7 -16◦43.6 278◦48.5 -18◦43.16 244◦20.2 273◦20.9 -13◦14.2 191◦35.0 20◦30.4 286◦10.6 -16◦43.4 293◦50.7 -18◦43.17 259◦22.6 288◦20.3 -13◦13.1 206◦36.0 20◦30.7 301◦12.5 -16◦43.2 308◦52.9 -18◦43.08 274◦25.1 303◦19.7 -13◦12.1 221◦37.0 20◦31.1 316◦14.4 -16◦43.1 323◦55.1 -18◦42.99 289◦27.6 318◦19.2 -13◦11.0 236◦38.0 20◦31.4 331◦16.3 -16◦42.9 338◦57.3 -18◦42.910 304◦30.0 333◦18.6 -13◦10.0 251◦38.9 20◦31.8 346◦18.2 -16◦42.7 353◦59.5 -18◦42.811 319◦32.5 348◦18.1 -13◦08.9 266◦39.9 20◦32.1 1◦20.0 -16◦42.6 9◦01.6 -18◦42.712 334◦35.0 3◦17.5 -13◦07.9 281◦40.9 20◦32.5 16◦21.9 -16◦42.4 24◦03.8 -18◦42.713 349◦37.4 18◦16.9 -13◦06.8 296◦41.9 20◦32.8 31◦23.8 -16◦42.2 39◦06.0 -18◦42.614 4◦39.9 33◦16.4 -13◦05.8 311◦42.9 20◦33.2 46◦25.7 -16◦42.1 54◦08.2 -18◦42.515 19◦42.3 48◦15.8 -13◦04.7 326◦43.9 20◦33.5 61◦27.6 -16◦41.9 69◦10.4 -18◦42.516 34◦44.8 63◦15.3 -13◦03.7 341◦44.9 20◦33.9 76◦29.5 -16◦41.7 84◦12.6 -18◦42.417 49◦47.3 78◦14.7 -13◦02.6 356◦45.8 20◦34.2 91◦31.4 -16◦41.6 99◦14.7 -18◦42.318 64◦49.7 93◦14.2 -13◦01.6 11◦46.8 20◦34.6 106◦33.3 -16◦41.4 114◦16.9 -18◦42.319 79◦52.2 108◦13.6 -13◦00.5 26◦47.8 20◦34.9 121◦35.2 -16◦41.2 129◦19.1 -18◦42.220 94◦54.7 123◦13.1 -12◦59.5 41◦48.8 20◦35.3 136◦37.0 -16◦41.1 144◦21.3 -18◦42.121 109◦57.1 138◦12.5 -12◦58.4 56◦49.8 20◦35.6 151◦38.9 -16◦40.9 159◦23.5 -18◦42.122 124◦59.6 153◦11.9 -12◦57.4 71◦50.7 20◦36.0 166◦40.8 -16◦40.7 174◦25.7 -18◦42.023 140◦02.1 168◦11.4 -12◦56.3 86◦51.7 20◦36.4 181◦42.7 -16◦40.6 189◦27.8 -18◦41.9Mer.pass.:13:41 v-0.6 d1.0 m-3.8 v1.0 d0.4 m0.8 v1.9 d0.2 m-1.8 v2.2 d0.1 m0.7

Thu GHA GHA Dec GHA Dec GHA Dec GHA Dec0 155◦04.5 183◦10.8 -12◦55.3 101◦52.7 20◦36.7 196◦44.6 -16◦40.4 204◦30.0 -18◦41.91 170◦07.0 198◦10.3 -12◦54.2 116◦53.7 20◦37.1 211◦46.5 -16◦40.2 219◦32.2 -18◦41.82 185◦09.5 213◦09.7 -12◦53.1 131◦54.7 20◦37.4 226◦48.4 -16◦40.1 234◦34.4 -18◦41.73 200◦11.9 228◦09.2 -12◦52.1 146◦55.7 20◦37.8 241◦50.3 -16◦39.9 249◦36.6 -18◦41.74 215◦14.4 243◦08.6 -12◦51.0 161◦56.6 20◦38.1 256◦52.2 -16◦39.7 264◦38.8 -18◦41.65 230◦16.8 258◦08.1 -12◦50.0 176◦57.6 20◦38.5 271◦54.1 -16◦39.6 279◦40.9 -18◦41.56 245◦19.3 273◦07.5 -12◦48.9 191◦58.6 20◦38.8 286◦55.9 -16◦39.4 294◦43.1 -18◦41.57 260◦21.8 288◦07.0 -12◦47.8 206◦59.6 20◦39.1 301◦57.8 -16◦39.2 309◦45.3 -18◦41.48 275◦24.2 303◦06.4 -12◦46.8 222◦00.6 20◦39.5 316◦59.7 -16◦39.1 324◦47.5 -18◦41.39 290◦26.7 318◦05.9 -12◦45.7 237◦01.5 20◦39.8 332◦01.6 -16◦38.9 339◦49.7 -18◦41.310 305◦29.2 333◦05.3 -12◦44.7 252◦02.5 20◦40.2 347◦03.5 -16◦38.7 354◦51.9 -18◦41.211 320◦31.6 348◦04.8 -12◦43.6 267◦03.5 20◦40.5 2◦05.4 -16◦38.6 9◦54.1 -18◦41.112 335◦34.1 3◦04.2 -12◦42.5 282◦04.5 20◦40.9 17◦07.3 -16◦38.4 24◦56.2 -18◦41.013 350◦36.6 18◦03.7 -12◦41.5 297◦05.5 20◦41.2 32◦09.2 -16◦38.2 39◦58.4 -18◦41.014 5◦39.0 33◦03.1 -12◦40.4 312◦06.4 20◦41.6 47◦11.1 -16◦38.1 55◦00.6 -18◦40.915 20◦41.5 48◦02.6 -12◦39.3 327◦07.4 20◦41.9 62◦13.0 -16◦37.9 70◦02.8 -18◦40.816 35◦44.0 63◦02.0 -12◦38.3 342◦08.4 20◦42.3 77◦14.8 -16◦37.7 85◦05.0 -18◦40.817 50◦46.4 78◦01.5 -12◦37.2 357◦09.4 20◦42.6 92◦16.7 -16◦37.6 100◦07.2 -18◦40.718 65◦48.9 93◦01.0 -12◦36.2 12◦10.3 20◦43.0 107◦18.6 -16◦37.4 115◦09.3 -18◦40.619 80◦51.3 108◦00.4 -12◦35.1 27◦11.3 20◦43.3 122◦20.5 -16◦37.2 130◦11.5 -18◦40.620 95◦53.8 122◦59.9 -12◦34.0 42◦12.3 20◦43.7 137◦22.4 -16◦37.1 145◦13.7 -18◦40.521 110◦56.3 137◦59.3 -12◦32.9 57◦13.3 20◦44.0 152◦24.3 -16◦36.9 160◦15.9 -18◦40.422 125◦58.7 152◦58.8 -12◦31.9 72◦14.2 20◦44.4 167◦26.2 -16◦36.7 175◦18.1 -18◦40.423 141◦01.2 167◦58.2 -12◦30.8 87◦15.2 20◦44.7 182◦28.1 -16◦36.6 190◦20.3 -18◦40.3Mer.pass.:13:37 v-0.6 d1.1 m-3.8 v1.0 d0.4 m0.9 v1.9 d0.2 m-1.8 v2.2 d0.1 m0.7

Fri GHA GHA Dec GHA Dec GHA Dec GHA Dec0 156◦03.7 182◦57.7 -12◦29.7 102◦16.2 20◦45.1 197◦30.0 -16◦36.4 205◦22.5 -18◦40.21 171◦06.1 197◦57.1 -12◦28.7 117◦17.2 20◦45.4 212◦31.9 -16◦36.2 220◦24.6 -18◦40.22 186◦08.6 212◦56.6 -12◦27.6 132◦18.2 20◦45.7 227◦33.8 -16◦36.1 235◦26.8 -18◦40.13 201◦11.1 227◦56.1 -12◦26.5 147◦19.1 20◦46.1 242◦35.6 -16◦35.9 250◦29.0 -18◦40.04 216◦13.5 242◦55.5 -12◦25.5 162◦20.1 20◦46.4 257◦37.5 -16◦35.7 265◦31.2 -18◦40.05 231◦16.0 257◦55.0 -12◦24.4 177◦21.1 20◦46.8 272◦39.4 -16◦35.6 280◦33.4 -18◦39.96 246◦18.5 272◦54.4 -12◦23.3 192◦22.1 20◦47.1 287◦41.3 -16◦35.4 295◦35.6 -18◦39.87 261◦20.9 287◦53.9 -12◦22.2 207◦23.0 20◦47.5 302◦43.2 -16◦35.2 310◦37.8 -18◦39.88 276◦23.4 302◦53.4 -12◦21.2 222◦24.0 20◦47.8 317◦45.1 -16◦35.1 325◦39.9 -18◦39.79 291◦25.8 317◦52.8 -12◦20.1 237◦25.0 20◦48.2 332◦47.0 -16◦34.9 340◦42.1 -18◦39.610 306◦28.3 332◦52.3 -12◦19.0 252◦25.9 20◦48.5 347◦48.9 -16◦34.7 355◦44.3 -18◦39.611 321◦30.8 347◦51.8 -12◦17.9 267◦26.9 20◦48.8 2◦50.8 -16◦34.6 10◦46.5 -18◦39.512 336◦33.2 2◦51.2 -12◦16.9 282◦27.9 20◦49.2 17◦52.7 -16◦34.4 25◦48.7 -18◦39.413 351◦35.7 17◦50.7 -12◦15.8 297◦28.9 20◦49.5 32◦54.6 -16◦34.2 40◦50.9 -18◦39.414 6◦38.2 32◦50.1 -12◦14.7 312◦29.8 20◦49.9 47◦56.5 -16◦34.1 55◦53.1 -18◦39.315 21◦40.6 47◦49.6 -12◦13.6 327◦30.8 20◦50.2 62◦58.4 -16◦33.9 70◦55.3 -18◦39.216 36◦43.1 62◦49.1 -12◦12.5 342◦31.8 20◦50.6 78◦00.2 -16◦33.7 85◦57.4 -18◦39.217 51◦45.6 77◦48.5 -12◦11.5 357◦32.8 20◦50.9 93◦02.1 -16◦33.6 100◦59.6 -18◦39.118 66◦48.0 92◦48.0 -12◦10.4 12◦33.7 20◦51.2 108◦04.0 -16◦33.4 116◦01.8 -18◦39.019 81◦50.5 107◦47.5 -12◦09.3 27◦34.7 20◦51.6 123◦05.9 -16◦33.2 131◦04.0 -18◦39.020 96◦52.9 122◦46.9 -12◦08.2 42◦35.7 20◦51.9 138◦07.8 -16◦33.1 146◦06.2 -18◦38.921 111◦55.4 137◦46.4 -12◦07.1 57◦36.6 20◦52.3 153◦09.7 -16◦32.9 161◦08.4 -18◦38.822 126◦57.9 152◦45.9 -12◦06.1 72◦37.6 20◦52.6 168◦11.6 -16◦32.7 176◦10.6 -18◦38.823 142◦00.3 167◦45.3 -12◦05.0 87◦38.6 20◦53.0 183◦13.5 -16◦32.6 191◦12.7 -18◦38.7Mer.pass.:13:33 v-0.5 d1.1 m-3.8 v1.0 d0.3 m0.9 v1.9 d0.2 m-1.8 v2.2 d0.1 m0.7

StarsSHA Dec

Alpheratz 357◦38.3 29◦12.3Ankaa 353◦10.6 -42◦11.8

Schedar 349◦35.0 56◦39.2Diphda 348◦50.6 -17◦52.5

Achernar 335◦23.0 -57◦08.1Hamal 327◦54.9 23◦33.6Polaris 315◦37.5 89◦21.4Akamar 315◦14.3 -40◦13.6Menkar 314◦09.5 4◦10.2Mirfak 308◦32.8 49◦56.2

Aldebaran 290◦43.2 16◦33.0Rigel 281◦06.8 -8◦10.9

Capella 280◦26.4 46◦01.3Bellatrix 278◦26.1 6◦22.0Elnath 278◦05.7 28◦37.5Alnilam 275◦40.8 -1◦11.5

Betelgeuse 270◦55.3 7◦24.5Canopus 263◦53.5 -52◦42.7

Sirius 258◦28.7 -16◦44.7Adara 255◦08.1 -29◦00.3

Procyon 244◦53.8 5◦10.3Pollux 243◦20.8 27◦58.5Avior 234◦15.4 -59◦34.8Suhail 222◦48.1 -43◦31.2

Miaplacidus 221◦37.9 -69◦48.3Alphard 217◦50.5 -8◦45.1Regulus 207◦37.4 11◦51.8Dubhe 193◦44.3 61◦38.2

Denebola 182◦27.8 14◦27.2Gienah 175◦46.5 -17◦39.5Acrux 173◦02.9 -63◦12.8

Gacrux 171◦54.6 -57◦13.7Alioth 166◦15.4 55◦50.6Spica 158◦25.4 -11◦16.3Alcaid 152◦54.3 49◦12.3Hadar 148◦40.0 -60◦28.2

Menkent 148◦01.1 -36◦28.3Arcturus 145◦50.5 19◦04.5

Rigil Kent. 139◦44.3 -60◦55.0Zubenelg. 136◦59.4 -16◦07.7Kochab 137◦19.5 74◦03.9

Alphecca 126◦06.4 26◦38.5Antares 112◦19.7 -26◦28.6

Atria 107◦16.8 -69◦03.6Sabik 102◦06.5 -15◦45.0

Shaula 96◦14.8 -37◦07.0Rasalhague 96◦01.6 12◦32.6

Etamin 90◦43.9 51◦28.9Kaus Aust. 83◦36.9 -34◦22.4

Vega 80◦35.6 38◦47.9Nunki 75◦51.9 -26◦16.2Altair 62◦03.3 8◦55.2

Peacock 53◦11.2 -56◦40.0Deneb 49◦28.3 45◦21.1

Enif 33◦42.2 9◦58.1Alnair 27◦37.4 -46◦51.6

Fomalhaut 15◦18.4 -29◦30.8Scheat 13◦48.6 28◦11.7Markab 13◦33.3 15◦19.0

2021/2/2 SHA Mer.passVenus 29◦18.9 11:47Mars 307◦23.7 17:13

Jupiter 41◦53.9 10:55Saturn 49◦32.2 10:24

2021/2/2 SHA Mer.passVenus 28◦06.3 11:48Mars 306◦48.2 17:11

Jupiter 41◦40.1 10:52Saturn 49◦25.5 10:20

2021/2/2 SHA Mer.passVenus 26◦54.0 11:49Mars 306◦12.5 17:10

Jupiter 41◦26.3 10:49Saturn 49◦18.8 10:17

Horizontal paralaxVenus: 0.1Mars: 0.1

38

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2021 February 24 to Feb. 26

h Sun MoonWed GHA Dec GHA ν Dec d HP0 176◦41.5 -9◦27.5 38◦26.8 7.9 24◦24.0 -3.3 56.71 191◦41.6 -9◦26.6 52◦53.7 7.9 24◦20.6 -3.5 56.72 206◦41.7 -9◦25.7 67◦20.7 7.9 24◦17.0 -3.6 56.83 221◦41.8 -9◦24.8 81◦47.6 7.9 24◦13.3 -3.8 56.84 236◦41.9 -9◦23.8 96◦14.5 7.9 24◦09.5 -3.9 56.85 251◦42.0 -9◦22.9 110◦41.4 7.9 24◦05.5 -4.0 56.96 266◦42.1 -9◦22.0 125◦08.3 7.9 24◦01.4 -4.2 56.97 281◦42.2 -9◦21.1 139◦35.2 7.9 23◦57.1 -4.3 56.98 296◦42.3 -9◦20.1 154◦02.1 7.9 23◦52.7 -4.5 57.09 311◦42.4 -9◦19.2 168◦29.0 7.9 23◦48.2 -4.6 57.010 326◦42.5 -9◦18.3 182◦55.9 7.9 23◦43.5 -4.8 57.011 341◦42.5 -9◦17.4 197◦22.7 7.9 23◦38.7 -4.9 57.112 356◦42.6 -9◦16.4 211◦49.6 7.9 23◦33.7 -5.0 57.113 11◦42.7 -9◦15.5 226◦16.5 7.9 23◦28.6 -5.2 57.114 26◦42.8 -9◦14.6 240◦43.4 7.9 23◦23.3 -5.3 57.215 41◦42.9 -9◦13.7 255◦10.3 7.9 23◦17.9 -5.5 57.216 56◦43.0 -9◦12.7 269◦37.2 7.9 23◦12.4 -5.6 57.217 71◦43.1 -9◦11.8 284◦04.1 7.9 23◦06.7 -5.7 57.318 86◦43.2 -9◦10.9 298◦31.0 7.9 23◦00.9 -5.9 57.319 101◦43.3 -9◦10.0 312◦57.9 7.9 22◦54.9 -6.0 57.320 116◦43.4 -9◦09.0 327◦24.8 7.9 22◦48.8 -6.2 57.421 131◦43.5 -9◦08.1 341◦51.8 7.9 22◦42.6 -6.3 57.422 146◦43.6 -9◦07.2 356◦18.7 8.0 22◦36.2 -6.4 57.423 161◦43.7 -9◦06.2 10◦45.7 8.0 22◦29.7 -6.6 57.5

SD.=16.2 d=0.9 S.D.=15.5

Thu GHA Dec GHA ν Dec d HP0 176◦43.8 -9◦05.3 25◦12.6 8.0 22◦23.1 -6.7 57.51 191◦43.9 -9◦04.4 39◦39.6 8.0 22◦16.3 -6.9 57.52 206◦44.0 -9◦03.4 54◦06.6 8.0 22◦09.3 -7.0 57.63 221◦44.1 -9◦02.5 68◦33.6 8.0 22◦02.3 -7.1 57.64 236◦44.2 -9◦01.6 83◦00.7 8.0 21◦55.1 -7.3 57.65 251◦44.3 -9◦00.7 97◦27.7 8.1 21◦47.7 -7.4 57.76 266◦44.4 -8◦59.7 111◦54.8 8.1 21◦40.3 -7.5 57.77 281◦44.5 -8◦58.8 126◦21.9 8.1 21◦32.7 -7.7 57.78 296◦44.6 -8◦57.9 140◦49.0 8.1 21◦24.9 -7.8 57.89 311◦44.7 -8◦56.9 155◦16.1 8.1 21◦17.1 -7.9 57.810 326◦44.8 -8◦56.0 169◦43.3 8.2 21◦09.1 -8.1 57.811 341◦44.9 -8◦55.1 184◦10.4 8.2 21◦00.9 -8.2 57.912 356◦45.0 -8◦54.1 198◦37.6 8.2 20◦52.7 -8.3 57.913 11◦45.1 -8◦53.2 213◦04.9 8.2 20◦44.3 -8.5 57.914 26◦45.2 -8◦52.3 227◦32.1 8.3 20◦35.7 -8.6 58.015 41◦45.3 -8◦51.3 241◦59.4 8.3 20◦27.1 -8.7 58.016 56◦45.4 -8◦50.4 256◦26.7 8.3 20◦18.3 -8.8 58.017 71◦45.5 -8◦49.5 270◦54.0 8.3 20◦09.4 -9.0 58.118 86◦45.6 -8◦48.5 285◦21.3 8.4 20◦00.3 -9.1 58.119 101◦45.7 -8◦47.6 299◦48.7 8.4 19◦51.2 -9.2 58.120 116◦45.8 -8◦46.7 314◦16.1 8.4 19◦41.9 -9.4 58.121 131◦45.9 -8◦45.7 328◦43.6 8.4 19◦32.5 -9.5 58.222 146◦46.0 -8◦44.8 343◦11.0 8.5 19◦22.9 -9.6 58.223 161◦46.1 -8◦43.9 357◦38.5 8.5 19◦13.3 -9.7 58.2

SD.=16.2 d=0.9 S.D.=15.7

Fri GHA Dec GHA ν Dec d HP0 176◦46.3 -8◦42.9 12◦06.0 8.5 19◦03.5 -9.8 58.31 191◦46.4 -8◦42.0 26◦33.6 8.6 18◦53.6 -10.0 58.32 206◦46.5 -8◦41.1 41◦01.2 8.6 18◦43.6 -10.1 58.33 221◦46.6 -8◦40.1 55◦28.8 8.6 18◦33.4 -10.2 58.44 236◦46.7 -8◦39.2 69◦56.5 8.7 18◦23.1 -10.3 58.45 251◦46.8 -8◦38.3 84◦24.1 8.7 18◦12.8 -10.4 58.46 266◦46.9 -8◦37.3 98◦51.8 8.7 18◦02.3 -10.6 58.57 281◦47.0 -8◦36.4 113◦19.6 8.8 17◦51.7 -10.7 58.58 296◦47.1 -8◦35.5 127◦47.4 8.8 17◦40.9 -10.8 58.59 311◦47.2 -8◦34.5 142◦15.2 8.8 17◦30.1 -10.9 58.510 326◦47.3 -8◦33.6 156◦43.0 8.9 17◦19.2 -11.0 58.611 341◦47.4 -8◦32.6 171◦10.9 8.9 17◦08.1 -11.1 58.612 356◦47.5 -8◦31.7 185◦38.8 8.9 16◦56.9 -11.2 58.613 11◦47.6 -8◦30.8 200◦06.8 9.0 16◦45.7 -11.3 58.714 26◦47.7 -8◦29.8 214◦34.8 9.0 16◦34.3 -11.4 58.715 41◦47.9 -8◦28.9 229◦02.8 9.0 16◦22.8 -11.5 58.716 56◦48.0 -8◦28.0 243◦30.8 9.1 16◦11.2 -11.6 58.717 71◦48.1 -8◦27.0 257◦58.9 9.1 15◦59.5 -11.7 58.818 86◦48.2 -8◦26.1 272◦27.0 9.1 15◦47.7 -11.9 58.819 101◦48.3 -8◦25.1 286◦55.2 9.2 15◦35.8 -12.0 58.820 116◦48.4 -8◦24.2 301◦23.4 9.2 15◦23.8 -12.1 58.921 131◦48.5 -8◦23.3 315◦51.6 9.2 15◦11.7 -12.2 58.922 146◦48.6 -8◦22.3 330◦19.9 9.3 14◦59.5 -12.2 58.923 161◦48.7 -8◦21.4 344◦48.2 9.3 14◦47.2 -12.3 58.9

SD.=16.2 d=0.9 S.D.=15.9

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 05:28 06:46 07:57 16:31 17:42 19:0070 05:32 06:42 07:45 16:43 17:46 18:5768 05:34 06:38 07:35 16:52 17:50 18:5466 05:36 06:35 07:27 17:00 17:53 18:5264 05:37 06:32 07:21 17:07 17:55 18:5062 05:38 06:30 07:15 17:13 17:58 18:4960 05:39 06:27 07:10 17:18 17:60 18:4858 05:40 06:25 07:05 17:22 18:02 18:4756 05:40 06:23 07:01 17:26 18:04 18:4754 05:41 06:22 06:57 17:30 18:05 18:4652 05:41 06:20 06:54 17:33 18:07 18:4650 05:41 06:19 06:51 17:36 18:08 18:4645 05:41 06:15 06:45 17:42 18:12 18:4640 05:40 06:12 06:39 17:47 18:15 18:4635 05:39 06:09 06:34 17:52 18:18 18:4730 05:38 06:06 06:30 17:56 18:20 18:4820 05:35 06:00 06:23 18:04 18:26 18:5210 05:30 05:55 06:16 18:10 18:31 18:560 05:24 05:49 06:10 18:16 18:37 19:02-10 05:17 05:42 06:03 18:23 18:44 19:09-20 05:08 05:34 05:56 18:29 18:52 19:18-30 04:55 05:24 05:48 18:37 19:02 19:31-35 04:47 05:17 05:43 18:42 19:08 19:39-40 04:37 05:10 05:38 18:47 19:15 19:48-45 04:24 05:01 05:32 18:53 19:24 20:00-50 04:09 04:50 05:24 19:01 19:35 20:16-52 04:01 04:45 05:21 19:04 19:40 20:23-54 03:52 04:39 05:17 19:08 19:45 20:32-56 03:42 04:33 05:12 19:12 19:52 20:42-58 03:30 04:25 05:08 19:17 19:59 20:53-60 03:16 04:17 05:02 19:22 20:07 21:07

Moonrise MoonsetLat. Wed Thu Fri Wed Thu Fri72 –:– –:– 13:15 –:– –:– 10:2070 –:– –:– 14:06 –:– –:– 09:2768 –:– 12:08 14:37 –:– 09:30 08:5466 10:37 12:57 15:01 09:06 08:40 08:3064 11:41 13:28 15:19 08:02 08:09 08:1062 12:15 13:51 15:33 07:27 07:45 07:5560 12:40 14:10 15:46 07:01 07:26 07:4158 13:00 14:25 15:56 06:41 07:10 07:3056 13:17 14:38 16:05 06:24 06:57 07:2054 13:31 14:49 16:14 06:10 06:45 07:1152 13:43 14:59 16:21 05:57 06:34 07:0350 13:54 15:08 16:27 05:46 06:25 06:5645 14:16 15:27 16:41 05:23 06:05 06:4140 14:34 15:42 16:53 05:05 05:49 06:2835 14:49 15:55 17:03 04:49 05:36 06:1730 15:02 16:06 17:11 04:36 05:24 06:0720 15:25 16:25 17:26 04:12 05:03 05:5110 15:44 16:41 17:39 03:52 04:45 05:360 16:02 16:57 17:50 03:34 04:28 05:23-10 16:20 17:12 18:02 03:15 04:12 05:09-20 16:39 17:29 18:15 02:54 03:53 04:54-30 17:01 17:47 18:29 02:31 03:32 04:37-35 17:14 17:58 18:38 02:17 03:20 04:27-40 17:29 18:11 18:47 02:01 03:06 04:15-45 17:47 18:25 18:58 01:42 02:49 04:02-50 18:09 18:43 19:11 01:18 02:28 03:45-52 18:19 18:52 19:17 01:06 02:18 03:37-54 18:31 19:01 19:24 00:53 02:06 03:28-56 18:44 19:12 19:32 00:38 01:53 03:19-58 18:60 19:24 19:40 00:20 01:38 03:07-60 19:18 19:37 19:50 –:– 01:20 02:54

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower24 13:14 13:09 12:13 22:15 09:47 13(90%)25 13:05 13:00 12:13 23:09 10:42 14(96%)26 12:55 12:50 12:12 00:03 11:36 15(99%)

39

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February 27, 28 ,01 (Sat., Sun., Mon.)Aries Venus Mars Jupiter Saturn

Sat GHA GHA Dec GHA Dec GHA Dec GHA Dec0 157◦02.8 182◦44.8 -12◦03.9 102◦39.6 20◦53.3 198◦15.4 -16◦32.4 206◦14.9 -18◦38.61 172◦05.3 197◦44.3 -12◦02.8 117◦40.5 20◦53.6 213◦17.3 -16◦32.2 221◦17.1 -18◦38.62 187◦07.7 212◦43.7 -12◦01.7 132◦41.5 20◦54.0 228◦19.2 -16◦32.1 236◦19.3 -18◦38.53 202◦10.2 227◦43.2 -12◦00.6 147◦42.5 20◦54.3 243◦21.1 -16◦31.9 251◦21.5 -18◦38.44 217◦12.7 242◦42.7 -11◦59.6 162◦43.4 20◦54.7 258◦23.0 -16◦31.8 266◦23.7 -18◦38.45 232◦15.1 257◦42.1 -11◦58.5 177◦44.4 20◦55.0 273◦24.9 -16◦31.6 281◦25.9 -18◦38.36 247◦17.6 272◦41.6 -11◦57.4 192◦45.4 20◦55.3 288◦26.8 -16◦31.4 296◦28.1 -18◦38.27 262◦20.1 287◦41.1 -11◦56.3 207◦46.3 20◦55.7 303◦28.6 -16◦31.3 311◦30.2 -18◦38.28 277◦22.5 302◦40.6 -11◦55.2 222◦47.3 20◦56.0 318◦30.5 -16◦31.1 326◦32.4 -18◦38.19 292◦25.0 317◦40.0 -11◦54.1 237◦48.3 20◦56.4 333◦32.4 -16◦30.9 341◦34.6 -18◦38.010 307◦27.4 332◦39.5 -11◦53.0 252◦49.3 20◦56.7 348◦34.3 -16◦30.8 356◦36.8 -18◦38.011 322◦29.9 347◦39.0 -11◦51.9 267◦50.2 20◦57.0 3◦36.2 -16◦30.6 11◦39.0 -18◦37.912 337◦32.4 2◦38.5 -11◦50.8 282◦51.2 20◦57.4 18◦38.1 -16◦30.4 26◦41.2 -18◦37.813 352◦34.8 17◦37.9 -11◦49.8 297◦52.2 20◦57.7 33◦40.0 -16◦30.3 41◦43.4 -18◦37.814 7◦37.3 32◦37.4 -11◦48.7 312◦53.1 20◦58.1 48◦41.9 -16◦30.1 56◦45.6 -18◦37.715 22◦39.8 47◦36.9 -11◦47.6 327◦54.1 20◦58.4 63◦43.8 -16◦29.9 71◦47.8 -18◦37.616 37◦42.2 62◦36.4 -11◦46.5 342◦55.1 20◦58.7 78◦45.7 -16◦29.8 86◦49.9 -18◦37.617 52◦44.7 77◦35.8 -11◦45.4 357◦56.0 20◦59.1 93◦47.6 -16◦29.6 101◦52.1 -18◦37.518 67◦47.2 92◦35.3 -11◦44.3 12◦57.0 20◦59.4 108◦49.5 -16◦29.4 116◦54.3 -18◦37.519 82◦49.6 107◦34.8 -11◦43.2 27◦58.0 20◦59.7 123◦51.4 -16◦29.3 131◦56.5 -18◦37.420 97◦52.1 122◦34.3 -11◦42.1 42◦58.9 21◦00.1 138◦53.3 -16◦29.1 146◦58.7 -18◦37.321 112◦54.5 137◦33.7 -11◦41.0 57◦59.9 21◦00.4 153◦55.2 -16◦28.9 162◦00.9 -18◦37.322 127◦57.0 152◦33.2 -11◦39.9 73◦00.9 21◦00.8 168◦57.1 -16◦28.8 177◦03.1 -18◦37.223 142◦59.5 167◦32.7 -11◦38.8 88◦01.8 21◦01.1 183◦59.0 -16◦28.6 192◦05.3 -18◦37.1Mer.pass.:13:29 v-0.5 d1.1 m-3.8 v1.0 d0.3 m0.9 v1.9 d0.2 m-1.8 v2.2 d0.1 m0.7

Sun GHA GHA Dec GHA Dec GHA Dec GHA Dec0 158◦01.9 182◦32.2 -11◦37.7 103◦02.8 21◦01.4 199◦00.9 -16◦28.4 207◦07.5 -18◦37.11 173◦04.4 197◦31.6 -11◦36.6 118◦03.8 21◦01.8 214◦02.7 -16◦28.3 222◦09.6 -18◦37.02 188◦06.9 212◦31.1 -11◦35.5 133◦04.7 21◦02.1 229◦04.6 -16◦28.1 237◦11.8 -18◦36.93 203◦09.3 227◦30.6 -11◦34.4 148◦05.7 21◦02.4 244◦06.5 -16◦27.9 252◦14.0 -18◦36.94 218◦11.8 242◦30.1 -11◦33.3 163◦06.6 21◦02.8 259◦08.4 -16◦27.8 267◦16.2 -18◦36.85 233◦14.3 257◦29.6 -11◦32.2 178◦07.6 21◦03.1 274◦10.3 -16◦27.6 282◦18.4 -18◦36.76 248◦16.7 272◦29.0 -11◦31.1 193◦08.6 21◦03.4 289◦12.2 -16◦27.4 297◦20.6 -18◦36.77 263◦19.2 287◦28.5 -11◦30.0 208◦09.5 21◦03.8 304◦14.1 -16◦27.3 312◦22.8 -18◦36.68 278◦21.7 302◦28.0 -11◦28.9 223◦10.5 21◦04.1 319◦16.0 -16◦27.1 327◦25.0 -18◦36.59 293◦24.1 317◦27.5 -11◦27.8 238◦11.5 21◦04.4 334◦17.9 -16◦26.9 342◦27.2 -18◦36.510 308◦26.6 332◦27.0 -11◦26.7 253◦12.4 21◦04.8 349◦19.8 -16◦26.8 357◦29.3 -18◦36.411 323◦29.0 347◦26.5 -11◦25.6 268◦13.4 21◦05.1 4◦21.7 -16◦26.6 12◦31.5 -18◦36.312 338◦31.5 2◦25.9 -11◦24.5 283◦14.4 21◦05.5 19◦23.6 -16◦26.4 27◦33.7 -18◦36.313 353◦34.0 17◦25.4 -11◦23.4 298◦15.3 21◦05.8 34◦25.5 -16◦26.3 42◦35.9 -18◦36.214 8◦36.4 32◦24.9 -11◦22.3 313◦16.3 21◦06.1 49◦27.4 -16◦26.1 57◦38.1 -18◦36.115 23◦38.9 47◦24.4 -11◦21.2 328◦17.2 21◦06.5 64◦29.3 -16◦25.9 72◦40.3 -18◦36.116 38◦41.4 62◦23.9 -11◦20.1 343◦18.2 21◦06.8 79◦31.2 -16◦25.8 87◦42.5 -18◦36.017 53◦43.8 77◦23.4 -11◦19.0 358◦19.2 21◦07.1 94◦33.1 -16◦25.6 102◦44.7 -18◦35.918 68◦46.3 92◦22.9 -11◦17.9 13◦20.1 21◦07.5 109◦35.0 -16◦25.4 117◦46.9 -18◦35.919 83◦48.8 107◦22.3 -11◦16.8 28◦21.1 21◦07.8 124◦36.9 -16◦25.3 132◦49.1 -18◦35.820 98◦51.2 122◦21.8 -11◦15.7 43◦22.1 21◦08.1 139◦38.8 -16◦25.1 147◦51.2 -18◦35.721 113◦53.7 137◦21.3 -11◦14.6 58◦23.0 21◦08.5 154◦40.7 -16◦24.9 162◦53.4 -18◦35.722 128◦56.1 152◦20.8 -11◦13.5 73◦24.0 21◦08.8 169◦42.6 -16◦24.8 177◦55.6 -18◦35.623 143◦58.6 167◦20.3 -11◦12.3 88◦24.9 21◦09.1 184◦44.5 -16◦24.6 192◦57.8 -18◦35.5Mer.pass.:13:25 v-0.5 d1.1 m-3.8 v1.0 d0.3 m0.9 v1.9 d0.2 m-1.8 v2.2 d0.1 m0.7

Mon GHA GHA Dec GHA Dec GHA Dec GHA Dec0 159◦01.1 182◦19.8 -11◦11.2 103◦25.9 21◦09.4 199◦46.4 -16◦24.4 208◦00.0 -18◦35.51 174◦03.5 197◦19.3 -11◦10.1 118◦26.9 21◦09.8 214◦48.3 -16◦24.3 223◦02.2 -18◦35.42 189◦06.0 212◦18.8 -11◦09.0 133◦27.8 21◦10.1 229◦50.2 -16◦24.1 238◦04.4 -18◦35.33 204◦08.5 227◦18.2 -11◦07.9 148◦28.8 21◦10.4 244◦52.1 -16◦23.9 253◦06.6 -18◦35.34 219◦10.9 242◦17.7 -11◦06.8 163◦29.7 21◦10.8 259◦54.0 -16◦23.8 268◦08.8 -18◦35.25 234◦13.4 257◦17.2 -11◦05.7 178◦30.7 21◦11.1 274◦55.8 -16◦23.6 283◦11.0 -18◦35.16 249◦15.9 272◦16.7 -11◦04.6 193◦31.6 21◦11.4 289◦57.7 -16◦23.4 298◦13.2 -18◦35.17 264◦18.3 287◦16.2 -11◦03.5 208◦32.6 21◦11.8 304◦59.6 -16◦23.3 313◦15.3 -18◦35.08 279◦20.8 302◦15.7 -11◦02.3 223◦33.6 21◦12.1 320◦01.5 -16◦23.1 328◦17.5 -18◦34.99 294◦23.3 317◦15.2 -11◦01.2 238◦34.5 21◦12.4 335◦03.4 -16◦22.9 343◦19.7 -18◦34.910 309◦25.7 332◦14.7 -11◦00.1 253◦35.5 21◦12.8 350◦05.3 -16◦22.8 358◦21.9 -18◦34.811 324◦28.2 347◦14.2 -10◦59.0 268◦36.4 21◦13.1 5◦07.2 -16◦22.6 13◦24.1 -18◦34.712 339◦30.6 2◦13.7 -10◦57.9 283◦37.4 21◦13.4 20◦09.1 -16◦22.4 28◦26.3 -18◦34.713 354◦33.1 17◦13.2 -10◦56.8 298◦38.4 21◦13.7 35◦11.0 -16◦22.3 43◦28.5 -18◦34.614 9◦35.6 32◦12.7 -10◦55.7 313◦39.3 21◦14.1 50◦12.9 -16◦22.1 58◦30.7 -18◦34.515 24◦38.0 47◦12.2 -10◦54.5 328◦40.3 21◦14.4 65◦14.8 -16◦21.9 73◦32.9 -18◦34.516 39◦40.5 62◦11.7 -10◦53.4 343◦41.2 21◦14.7 80◦16.7 -16◦21.8 88◦35.1 -18◦34.417 54◦43.0 77◦11.1 -10◦52.3 358◦42.2 21◦15.1 95◦18.6 -16◦21.6 103◦37.3 -18◦34.318 69◦45.4 92◦10.6 -10◦51.2 13◦43.1 21◦15.4 110◦20.5 -16◦21.4 118◦39.5 -18◦34.319 84◦47.9 107◦10.1 -10◦50.1 28◦44.1 21◦15.7 125◦22.4 -16◦21.3 133◦41.6 -18◦34.220 99◦50.4 122◦09.6 -10◦48.9 43◦45.0 21◦16.0 140◦24.3 -16◦21.1 148◦43.8 -18◦34.121 114◦52.8 137◦09.1 -10◦47.8 58◦46.0 21◦16.4 155◦26.2 -16◦20.9 163◦46.0 -18◦34.122 129◦55.3 152◦08.6 -10◦46.7 73◦47.0 21◦16.7 170◦28.1 -16◦20.8 178◦48.2 -18◦34.023 144◦57.8 167◦08.1 -10◦45.6 88◦47.9 21◦17.0 185◦30.0 -16◦20.6 193◦50.4 -18◦34.0Mer.pass.:13:21 v-0.5 d1.1 m-3.8 v1.0 d0.3 m0.9 v1.9 d0.2 m-1.8 v2.2 d0.1 m0.7

StarsSHA Dec

Alpheratz 357◦38.3 29◦12.3Ankaa 353◦10.6 -42◦11.8

Schedar 349◦35.0 56◦39.2Diphda 348◦50.6 -17◦52.5

Achernar 335◦23.0 -57◦08.1Hamal 327◦54.9 23◦33.6Polaris 315◦39.0 89◦21.4Akamar 315◦14.3 -40◦13.6Menkar 314◦09.5 4◦10.2Mirfak 308◦32.8 49◦56.2

Aldebaran 290◦43.2 16◦33.0Rigel 281◦06.8 -8◦10.9

Capella 280◦26.4 46◦01.3Bellatrix 278◦26.1 6◦22.0Elnath 278◦05.7 28◦37.5Alnilam 275◦40.8 -1◦11.5

Betelgeuse 270◦55.4 7◦24.5Canopus 263◦53.5 -52◦42.7

Sirius 258◦28.7 -16◦44.7Adara 255◦08.1 -29◦00.3

Procyon 244◦53.8 5◦10.3Pollux 243◦20.8 27◦58.5Avior 234◦15.4 -59◦34.8Suhail 222◦48.1 -43◦31.2

Miaplacidus 221◦37.9 -69◦48.3Alphard 217◦50.5 -8◦45.1Regulus 207◦37.4 11◦51.8Dubhe 193◦44.3 61◦38.2

Denebola 182◦27.8 14◦27.2Gienah 175◦46.5 -17◦39.5Acrux 173◦02.9 -63◦12.8

Gacrux 171◦54.5 -57◦13.7Alioth 166◦15.4 55◦50.6Spica 158◦25.4 -11◦16.3Alcaid 152◦54.2 49◦12.3Hadar 148◦40.0 -60◦28.2

Menkent 148◦01.1 -36◦28.3Arcturus 145◦50.5 19◦04.5

Rigil Kent. 139◦44.2 -60◦55.0Zubenelg. 136◦59.3 -16◦07.7Kochab 137◦19.4 74◦03.9

Alphecca 126◦06.4 26◦38.5Antares 112◦19.7 -26◦28.6

Atria 107◦16.8 -69◦03.6Sabik 102◦06.4 -15◦45.0

Shaula 96◦14.7 -37◦07.0Rasalhague 96◦01.6 12◦32.6

Etamin 90◦43.8 51◦28.9Kaus Aust. 83◦36.8 -34◦22.4

Vega 80◦35.6 38◦47.9Nunki 75◦51.9 -26◦16.2Altair 62◦03.3 8◦55.2

Peacock 53◦11.2 -56◦40.0Deneb 49◦28.3 45◦21.1

Enif 33◦42.2 9◦58.1Alnair 27◦37.4 -46◦51.6

Fomalhaut 15◦18.4 -29◦30.8Scheat 13◦48.6 28◦11.7Markab 13◦33.3 15◦19.0

2021/2/2 SHA Mer.passVenus 25◦42.0 11:49Mars 305◦36.8 17:08

Jupiter 41◦12.6 10:46Saturn 49◦12.1 10:14

2021/2/2 SHA Mer.passVenus 24◦30.2 11:50Mars 305◦00.8 17:07

Jupiter 40◦58.9 10:43Saturn 49◦05.5 10:10

2021/3/1 SHA Mer.passVenus 23◦18.7 11:51Mars 304◦24.8 17:05

Jupiter 40◦45.3 10:40Saturn 48◦58.9 10:07

Horizontal paralaxVenus: 0.1Mars: 0.1

40

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2021 February 27 to Mar. 01

h Sun MoonSat GHA Dec GHA ν Dec d HP0 176◦48.8 -8◦20.4 359◦16.5 9.3 14◦34.8 -12.4 59.01 191◦48.9 -8◦19.5 13◦44.8 9.4 14◦22.3 -12.5 59.02 206◦49.1 -8◦18.6 28◦13.2 9.4 14◦09.7 -12.6 59.03 221◦49.2 -8◦17.6 42◦41.7 9.4 13◦57.1 -12.7 59.04 236◦49.3 -8◦16.7 57◦10.1 9.5 13◦44.3 -12.8 59.15 251◦49.4 -8◦15.7 71◦38.6 9.5 13◦31.5 -12.9 59.16 266◦49.5 -8◦14.8 86◦07.1 9.5 13◦18.5 -13.0 59.17 281◦49.6 -8◦13.9 100◦35.7 9.6 13◦05.5 -13.1 59.18 296◦49.7 -8◦12.9 115◦04.3 9.6 12◦52.4 -13.1 59.29 311◦49.8 -8◦12.0 129◦32.9 9.6 12◦39.2 -13.2 59.210 326◦50.0 -8◦11.0 144◦01.6 9.7 12◦25.9 -13.3 59.211 341◦50.1 -8◦10.1 158◦30.3 9.7 12◦12.6 -13.4 59.212 356◦50.2 -8◦09.1 172◦59.0 9.7 11◦59.2 -13.5 59.313 11◦50.3 -8◦08.2 187◦27.7 9.8 11◦45.6 -13.5 59.314 26◦50.4 -8◦07.3 201◦56.5 9.8 11◦32.1 -13.6 59.315 41◦50.5 -8◦06.3 216◦25.3 9.8 11◦18.4 -13.7 59.316 56◦50.6 -8◦05.4 230◦54.2 9.9 11◦04.7 -13.8 59.317 71◦50.7 -8◦04.4 245◦23.0 9.9 10◦50.9 -13.8 59.418 86◦50.9 -8◦03.5 259◦51.9 9.9 10◦37.0 -13.9 59.419 101◦51.0 -8◦02.5 274◦20.9 9.9 10◦23.0 -14.0 59.420 116◦51.1 -8◦01.6 288◦49.8 10.0 10◦09.0 -14.0 59.421 131◦51.2 -8◦00.7 303◦18.8 10.0 9◦54.9 -14.1 59.422 146◦51.3 -7◦59.7 317◦47.8 10.0 9◦40.8 -14.2 59.523 161◦51.4 -7◦58.8 332◦16.8 10.0 9◦26.6 -14.2 59.5

SD.=16.2 d=0.9 S.D.=16.1

Sun GHA Dec GHA ν Dec d HP0 176◦51.6 -7◦57.8 346◦45.9 10.1 9◦12.3 -14.3 59.51 191◦51.7 -7◦56.9 1◦15.0 10.1 8◦58.0 -14.4 59.52 206◦51.8 -7◦55.9 15◦44.1 10.1 8◦43.6 -14.4 59.53 221◦51.9 -7◦55.0 30◦13.2 10.1 8◦29.1 -14.5 59.64 236◦52.0 -7◦54.0 44◦42.4 10.2 8◦14.6 -14.5 59.65 251◦52.1 -7◦53.1 59◦11.5 10.2 8◦00.1 -14.6 59.66 266◦52.3 -7◦52.1 73◦40.7 10.2 7◦45.5 -14.6 59.67 281◦52.4 -7◦51.2 88◦10.0 10.2 7◦30.8 -14.7 59.68 296◦52.5 -7◦50.3 102◦39.2 10.2 7◦16.1 -14.7 59.69 311◦52.6 -7◦49.3 117◦08.5 10.3 7◦01.3 -14.8 59.710 326◦52.7 -7◦48.4 131◦37.7 10.3 6◦46.5 -14.8 59.711 341◦52.8 -7◦47.4 146◦07.0 10.3 6◦31.7 -14.9 59.712 356◦53.0 -7◦46.5 160◦36.3 10.3 6◦16.8 -14.9 59.713 11◦53.1 -7◦45.5 175◦05.7 10.3 6◦01.8 -15.0 59.714 26◦53.2 -7◦44.6 189◦35.0 10.4 5◦46.9 -15.0 59.715 41◦53.3 -7◦43.6 204◦04.4 10.4 5◦31.8 -15.0 59.716 56◦53.4 -7◦42.7 218◦33.8 10.4 5◦16.8 -15.1 59.817 71◦53.6 -7◦41.7 233◦03.1 10.4 5◦01.7 -15.1 59.818 86◦53.7 -7◦40.8 247◦32.6 10.4 4◦46.6 -15.1 59.819 101◦53.8 -7◦39.8 262◦02.0 10.4 4◦31.4 -15.2 59.820 116◦53.9 -7◦38.9 276◦31.4 10.4 4◦16.2 -15.2 59.821 131◦54.0 -7◦37.9 291◦00.8 10.4 4◦01.0 -15.2 59.822 146◦54.2 -7◦37.0 305◦30.3 10.5 3◦45.8 -15.3 59.823 161◦54.3 -7◦36.0 319◦59.7 10.5 3◦30.5 -15.3 59.8

SD.=16.1 d=0.9 S.D.=16.2

Mon GHA Dec GHA ν Dec d HP0 176◦54.4 -7◦35.1 334◦29.2 10.5 3◦15.2 -15.3 59.91 191◦54.5 -7◦34.1 348◦58.7 10.5 2◦59.9 -15.3 59.92 206◦54.6 -7◦33.2 3◦28.1 10.5 2◦44.6 -15.3 59.93 221◦54.8 -7◦32.2 17◦57.6 10.5 2◦29.2 -15.4 59.94 236◦54.9 -7◦31.3 32◦27.1 10.5 2◦13.8 -15.4 59.95 251◦55.0 -7◦30.3 46◦56.6 10.5 1◦58.4 -15.4 59.96 266◦55.1 -7◦29.4 61◦26.1 10.5 1◦43.0 -15.4 59.97 281◦55.3 -7◦28.4 75◦55.6 10.5 1◦27.6 -15.4 59.98 296◦55.4 -7◦27.5 90◦25.1 10.5 1◦12.2 -15.4 59.99 311◦55.5 -7◦26.5 104◦54.6 10.5 0◦56.7 -15.4 59.910 326◦55.6 -7◦25.6 119◦24.1 10.5 0◦41.3 -15.5 59.911 341◦55.8 -7◦24.6 133◦53.6 10.5 0◦25.8 -15.5 59.912 356◦55.9 -7◦23.7 148◦23.1 10.5 0◦10.4 -15.5 60.013 11◦56.0 -7◦22.7 162◦52.6 10.5 -0◦05.1 -15.5 60.014 26◦56.1 -7◦21.8 177◦22.0 10.5 -0◦20.6 -15.5 60.015 41◦56.3 -7◦20.8 191◦51.5 10.5 -0◦36.0 -15.5 60.016 56◦56.4 -7◦19.9 206◦21.0 10.5 -0◦51.5 -15.5 60.017 71◦56.5 -7◦18.9 220◦50.4 10.5 -1◦07.0 -15.5 60.018 86◦56.6 -7◦18.0 235◦19.9 10.5 -1◦22.4 -15.5 60.019 101◦56.8 -7◦17.0 249◦49.4 10.4 -1◦37.9 -15.4 60.020 116◦56.9 -7◦16.1 264◦18.8 10.4 -1◦53.3 -15.4 60.021 131◦57.0 -7◦15.1 278◦48.2 10.4 -2◦08.7 -15.4 60.022 146◦57.1 -7◦14.2 293◦17.6 10.4 -2◦24.2 -15.4 60.023 161◦57.3 -7◦13.2 307◦47.0 10.4 -2◦39.6 -15.4 60.0

SD.=16.1 d=0.9 S.D.=16.3

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 05:14 06:32 07:41 16:46 17:55 19:1470 05:19 06:29 07:31 16:56 17:58 19:0968 05:22 06:26 07:23 17:04 18:00 19:0566 05:25 06:24 07:16 17:10 18:02 19:0264 05:28 06:22 07:10 17:16 18:04 18:5962 05:29 06:21 07:05 17:21 18:06 18:5760 05:31 06:19 07:01 17:25 18:07 18:5558 05:32 06:18 06:57 17:29 18:09 18:5456 05:33 06:16 06:54 17:32 18:10 18:5354 05:34 06:15 06:50 17:35 18:11 18:5252 05:35 06:14 06:48 17:38 18:12 18:5150 05:35 06:13 06:45 17:41 18:13 18:5145 05:36 06:10 06:39 17:46 18:16 18:5040 05:36 06:08 06:35 17:51 18:18 18:4935 05:36 06:05 06:31 17:55 18:20 18:5030 05:35 06:03 06:27 17:58 18:22 18:5020 05:33 05:58 06:20 18:05 18:27 18:5310 05:29 05:54 06:15 18:10 18:32 18:560 05:24 05:48 06:09 18:16 18:37 19:01-10 05:18 05:42 06:04 18:21 18:42 19:07-20 05:09 05:35 05:57 18:27 18:50 19:16-30 04:57 05:26 05:50 18:34 18:58 19:27-35 04:50 05:20 05:46 18:38 19:04 19:34-40 04:41 05:14 05:41 18:43 19:10 19:43-45 04:29 05:06 05:36 18:48 19:18 19:55-50 04:15 04:56 05:29 18:55 19:28 20:09-52 04:08 04:51 05:26 18:58 19:33 20:16-54 03:60 04:46 05:23 19:01 19:38 20:24-56 03:50 04:40 05:19 19:05 19:44 20:32-58 03:40 04:33 05:15 19:09 19:50 20:43-60 03:27 04:25 05:10 19:13 19:58 20:55

Moonrise MoonsetLat. Sat Sun Mon Sat Sun Mon72 16:12 18:35 20:53 09:14 08:39 08:1170 16:31 18:42 20:49 08:52 08:29 08:1068 16:46 18:47 20:47 08:35 08:21 08:0866 16:58 18:52 20:45 08:21 08:14 08:0864 17:08 18:56 20:43 08:10 08:09 08:0762 17:16 18:59 20:41 08:00 08:04 08:0660 17:24 19:02 20:40 07:52 07:59 08:0558 17:30 19:04 20:38 07:44 07:55 08:0556 17:36 19:06 20:37 07:38 07:52 08:0454 17:41 19:08 20:36 07:32 07:49 08:0452 17:45 19:10 20:35 07:26 07:46 08:0450 17:49 19:12 20:35 07:21 07:43 08:0345 17:58 19:15 20:33 07:11 07:37 08:0240 18:05 19:18 20:31 07:02 07:33 08:0235 18:12 19:21 20:30 06:54 07:28 08:0130 18:17 19:23 20:29 06:47 07:25 08:0020 18:27 19:27 20:27 06:36 07:18 07:5910 18:35 19:30 20:26 06:25 07:12 07:580 18:43 19:34 20:24 06:15 07:07 07:58-10 18:50 19:37 20:23 06:06 07:01 07:57-20 18:59 19:40 20:21 05:55 06:55 07:56-30 19:08 19:44 20:20 05:43 06:49 07:55-35 19:13 19:46 20:19 05:36 06:45 07:54-40 19:19 19:49 20:18 05:27 06:40 07:53-45 19:26 19:52 20:16 05:18 06:35 07:52-50 19:35 19:55 20:15 05:06 06:28 07:51-52 19:38 19:57 20:14 05:01 06:26 07:51-54 19:43 19:59 20:14 04:55 06:22 07:50-56 19:47 20:00 20:13 04:48 06:19 07:49-58 19:52 20:03 20:12 04:40 06:15 07:49-60 19:58 20:05 20:11 04:32 06:10 07:48

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower27 12:45 12:39 12:12 00:03 12:29 16(100%)28 12:34 12:28 12:12 00:54 13:20 17(98%)1 12:22 12:16 12:12 01:45 14:10 18(94%)

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March 02, 03 ,04 (Tue., Wed., Thu.)Aries Venus Mars Jupiter Saturn

Tue GHA GHA Dec GHA Dec GHA Dec GHA Dec0 160◦00.2 182◦07.6 -10◦44.5 103◦48.9 21◦17.4 200◦31.9 -16◦20.4 208◦52.6 -18◦33.91 175◦02.7 197◦07.1 -10◦43.3 118◦49.8 21◦17.7 215◦33.8 -16◦20.3 223◦54.8 -18◦33.82 190◦05.1 212◦06.6 -10◦42.2 133◦50.8 21◦18.0 230◦35.7 -16◦20.1 238◦57.0 -18◦33.83 205◦07.6 227◦06.1 -10◦41.1 148◦51.7 21◦18.3 245◦37.6 -16◦19.9 253◦59.2 -18◦33.74 220◦10.1 242◦05.6 -10◦40.0 163◦52.7 21◦18.7 260◦39.5 -16◦19.8 269◦01.4 -18◦33.65 235◦12.5 257◦05.1 -10◦38.8 178◦53.6 21◦19.0 275◦41.4 -16◦19.6 284◦03.6 -18◦33.66 250◦15.0 272◦04.6 -10◦37.7 193◦54.6 21◦19.3 290◦43.3 -16◦19.4 299◦05.8 -18◦33.57 265◦17.5 287◦04.1 -10◦36.6 208◦55.5 21◦19.6 305◦45.2 -16◦19.3 314◦08.0 -18◦33.48 280◦19.9 302◦03.6 -10◦35.5 223◦56.5 21◦20.0 320◦47.1 -16◦19.1 329◦10.1 -18◦33.49 295◦22.4 317◦03.1 -10◦34.3 238◦57.5 21◦20.3 335◦49.0 -16◦18.9 344◦12.3 -18◦33.310 310◦24.9 332◦02.6 -10◦33.2 253◦58.4 21◦20.6 350◦50.9 -16◦18.8 359◦14.5 -18◦33.211 325◦27.3 347◦02.1 -10◦32.1 268◦59.4 21◦20.9 5◦52.8 -16◦18.6 14◦16.7 -18◦33.212 340◦29.8 2◦01.6 -10◦31.0 284◦00.3 21◦21.3 20◦54.7 -16◦18.4 29◦18.9 -18◦33.113 355◦32.2 17◦01.1 -10◦29.8 299◦01.3 21◦21.6 35◦56.6 -16◦18.3 44◦21.1 -18◦33.014 10◦34.7 32◦00.6 -10◦28.7 314◦02.2 21◦21.9 50◦58.5 -16◦18.1 59◦23.3 -18◦33.015 25◦37.2 47◦00.2 -10◦27.6 329◦03.2 21◦22.2 66◦00.4 -16◦17.9 74◦25.5 -18◦32.916 40◦39.6 61◦59.7 -10◦26.4 344◦04.1 21◦22.6 81◦02.3 -16◦17.8 89◦27.7 -18◦32.817 55◦42.1 76◦59.2 -10◦25.3 359◦05.1 21◦22.9 96◦04.2 -16◦17.6 104◦29.9 -18◦32.818 70◦44.6 91◦58.7 -10◦24.2 14◦06.0 21◦23.2 111◦06.1 -16◦17.4 119◦32.1 -18◦32.719 85◦47.0 106◦58.2 -10◦23.0 29◦07.0 21◦23.5 126◦08.0 -16◦17.3 134◦34.3 -18◦32.620 100◦49.5 121◦57.7 -10◦21.9 44◦07.9 21◦23.8 141◦09.9 -16◦17.1 149◦36.5 -18◦32.621 115◦52.0 136◦57.2 -10◦20.8 59◦08.9 21◦24.2 156◦11.8 -16◦16.9 164◦38.7 -18◦32.522 130◦54.4 151◦56.7 -10◦19.7 74◦09.8 21◦24.5 171◦13.7 -16◦16.8 179◦40.9 -18◦32.423 145◦56.9 166◦56.2 -10◦18.5 89◦10.8 21◦24.8 186◦15.6 -16◦16.6 194◦43.1 -18◦32.4Mer.pass.:13:17 v-0.5 d1.1 m-3.8 v1.0 d0.3 m0.9 v1.9 d0.2 m-1.8 v2.2 d0.1 m0.7

Wed GHA GHA Dec GHA Dec GHA Dec GHA Dec0 160◦59.4 181◦55.7 -10◦17.4 104◦11.7 21◦25.1 201◦17.5 -16◦16.4 209◦45.2 -18◦32.31 176◦01.8 196◦55.2 -10◦16.3 119◦12.7 21◦25.5 216◦19.4 -16◦16.3 224◦47.4 -18◦32.22 191◦04.3 211◦54.7 -10◦15.1 134◦13.6 21◦25.8 231◦21.3 -16◦16.1 239◦49.6 -18◦32.23 206◦06.7 226◦54.2 -10◦14.0 149◦14.6 21◦26.1 246◦23.2 -16◦15.9 254◦51.8 -18◦32.14 221◦09.2 241◦53.7 -10◦12.8 164◦15.5 21◦26.4 261◦25.1 -16◦15.8 269◦54.0 -18◦32.15 236◦11.7 256◦53.3 -10◦11.7 179◦16.5 21◦26.7 276◦27.0 -16◦15.6 284◦56.2 -18◦32.06 251◦14.1 271◦52.8 -10◦10.6 194◦17.4 21◦27.1 291◦28.9 -16◦15.4 299◦58.4 -18◦31.97 266◦16.6 286◦52.3 -10◦09.4 209◦18.4 21◦27.4 306◦30.8 -16◦15.3 315◦00.6 -18◦31.98 281◦19.1 301◦51.8 -10◦08.3 224◦19.3 21◦27.7 321◦32.7 -16◦15.1 330◦02.8 -18◦31.89 296◦21.5 316◦51.3 -10◦07.2 239◦20.3 21◦28.0 336◦34.6 -16◦14.9 345◦05.0 -18◦31.710 311◦24.0 331◦50.8 -10◦06.0 254◦21.2 21◦28.3 351◦36.5 -16◦14.8 0◦07.2 -18◦31.711 326◦26.5 346◦50.3 -10◦04.9 269◦22.2 21◦28.7 6◦38.4 -16◦14.6 15◦09.4 -18◦31.612 341◦28.9 1◦49.8 -10◦03.7 284◦23.1 21◦29.0 21◦40.3 -16◦14.4 30◦11.6 -18◦31.513 356◦31.4 16◦49.3 -10◦02.6 299◦24.1 21◦29.3 36◦42.3 -16◦14.3 45◦13.8 -18◦31.514 11◦33.8 31◦48.9 -10◦01.5 314◦25.0 21◦29.6 51◦44.2 -16◦14.1 60◦16.0 -18◦31.415 26◦36.3 46◦48.4 -10◦00.3 329◦25.9 21◦29.9 66◦46.1 -16◦13.9 75◦18.2 -18◦31.316 41◦38.8 61◦47.9 -9◦59.2 344◦26.9 21◦30.3 81◦48.0 -16◦13.8 90◦20.4 -18◦31.317 56◦41.2 76◦47.4 -9◦58.0 359◦27.8 21◦30.6 96◦49.9 -16◦13.6 105◦22.6 -18◦31.218 71◦43.7 91◦46.9 -9◦56.9 14◦28.8 21◦30.9 111◦51.8 -16◦13.4 120◦24.8 -18◦31.119 86◦46.2 106◦46.4 -9◦55.8 29◦29.7 21◦31.2 126◦53.7 -16◦13.3 135◦27.0 -18◦31.120 101◦48.6 121◦45.9 -9◦54.6 44◦30.7 21◦31.5 141◦55.6 -16◦13.1 150◦29.1 -18◦31.021 116◦51.1 136◦45.5 -9◦53.5 59◦31.6 21◦31.9 156◦57.5 -16◦12.9 165◦31.3 -18◦30.922 131◦53.6 151◦45.0 -9◦52.3 74◦32.6 21◦32.2 171◦59.4 -16◦12.8 180◦33.5 -18◦30.923 146◦56.0 166◦44.5 -9◦51.2 89◦33.5 21◦32.5 187◦01.3 -16◦12.6 195◦35.7 -18◦30.8Mer.pass.:13:13 v-0.5 d1.1 m-3.8 v0.9 d0.3 m0.9 v1.9 d0.2 m-1.8 v2.2 d0.1 m0.7

Thu GHA GHA Dec GHA Dec GHA Dec GHA Dec0 161◦58.5 181◦44.0 -9◦50.0 104◦34.5 21◦32.8 202◦03.2 -16◦12.4 210◦37.9 -18◦30.81 177◦01.0 196◦43.5 -9◦48.9 119◦35.4 21◦33.1 217◦05.1 -16◦12.3 225◦40.1 -18◦30.72 192◦03.4 211◦43.0 -9◦47.7 134◦36.3 21◦33.4 232◦07.0 -16◦12.1 240◦42.3 -18◦30.63 207◦05.9 226◦42.6 -9◦46.6 149◦37.3 21◦33.8 247◦08.9 -16◦11.9 255◦44.5 -18◦30.64 222◦08.3 241◦42.1 -9◦45.5 164◦38.2 21◦34.1 262◦10.8 -16◦11.8 270◦46.7 -18◦30.55 237◦10.8 256◦41.6 -9◦44.3 179◦39.2 21◦34.4 277◦12.7 -16◦11.6 285◦48.9 -18◦30.46 252◦13.3 271◦41.1 -9◦43.2 194◦40.1 21◦34.7 292◦14.6 -16◦11.4 300◦51.1 -18◦30.47 267◦15.7 286◦40.6 -9◦42.0 209◦41.1 21◦35.0 307◦16.5 -16◦11.3 315◦53.3 -18◦30.38 282◦18.2 301◦40.2 -9◦40.9 224◦42.0 21◦35.3 322◦18.4 -16◦11.1 330◦55.5 -18◦30.29 297◦20.7 316◦39.7 -9◦39.7 239◦42.9 21◦35.7 337◦20.3 -16◦10.9 345◦57.7 -18◦30.210 312◦23.1 331◦39.2 -9◦38.6 254◦43.9 21◦36.0 352◦22.2 -16◦10.8 0◦59.9 -18◦30.111 327◦25.6 346◦38.7 -9◦37.4 269◦44.8 21◦36.3 7◦24.1 -16◦10.6 16◦02.1 -18◦30.012 342◦28.1 1◦38.2 -9◦36.3 284◦45.8 21◦36.6 22◦26.0 -16◦10.4 31◦04.3 -18◦30.013 357◦30.5 16◦37.8 -9◦35.1 299◦46.7 21◦36.9 37◦27.9 -16◦10.3 46◦06.5 -18◦29.914 12◦33.0 31◦37.3 -9◦34.0 314◦47.7 21◦37.2 52◦29.8 -16◦10.1 61◦08.7 -18◦29.815 27◦35.5 46◦36.8 -9◦32.8 329◦48.6 21◦37.5 67◦31.7 -16◦09.9 76◦10.9 -18◦29.816 42◦37.9 61◦36.3 -9◦31.7 344◦49.5 21◦37.9 82◦33.6 -16◦09.8 91◦13.1 -18◦29.717 57◦40.4 76◦35.9 -9◦30.5 359◦50.5 21◦38.2 97◦35.6 -16◦09.6 106◦15.3 -18◦29.618 72◦42.8 91◦35.4 -9◦29.4 14◦51.4 21◦38.5 112◦37.5 -16◦09.4 121◦17.5 -18◦29.619 87◦45.3 106◦34.9 -9◦28.2 29◦52.4 21◦38.8 127◦39.4 -16◦09.3 136◦19.7 -18◦29.520 102◦47.8 121◦34.4 -9◦27.0 44◦53.3 21◦39.1 142◦41.3 -16◦09.1 151◦21.9 -18◦29.521 117◦50.2 136◦33.9 -9◦25.9 59◦54.2 21◦39.4 157◦43.2 -16◦08.9 166◦24.1 -18◦29.422 132◦52.7 151◦33.5 -9◦24.7 74◦55.2 21◦39.7 172◦45.1 -16◦08.8 181◦26.3 -18◦29.323 147◦55.2 166◦33.0 -9◦23.6 89◦56.1 21◦40.0 187◦47.0 -16◦08.6 196◦28.5 -18◦29.3Mer.pass.:13:09 v-0.5 d1.1 m-3.8 v0.9 d0.3 m1.0 v1.9 d0.2 m-1.8 v2.2 d0.1 m0.7

StarsSHA Dec

Alpheratz 357◦38.3 29◦12.3Ankaa 353◦10.7 -42◦11.8

Schedar 349◦35.0 56◦39.2Diphda 348◦50.6 -17◦52.5

Achernar 335◦23.0 -57◦08.1Hamal 327◦54.9 23◦33.6Polaris 315◦40.5 89◦21.4Akamar 315◦14.4 -40◦13.6Menkar 314◦09.5 4◦10.2Mirfak 308◦32.9 49◦56.2

Aldebaran 290◦43.2 16◦33.0Rigel 281◦06.8 -8◦10.9

Capella 280◦26.4 46◦01.3Bellatrix 278◦26.2 6◦22.0Elnath 278◦05.8 28◦37.5Alnilam 275◦40.8 -1◦11.5

Betelgeuse 270◦55.4 7◦24.5Canopus 263◦53.5 -52◦42.7

Sirius 258◦28.7 -16◦44.7Adara 255◦08.1 -29◦00.3

Procyon 244◦53.8 5◦10.3Pollux 243◦20.8 27◦58.5Avior 234◦15.4 -59◦34.8Suhail 222◦48.2 -43◦31.2

Miaplacidus 221◦38.0 -69◦48.3Alphard 217◦50.5 -8◦45.1Regulus 207◦37.4 11◦51.8Dubhe 193◦44.3 61◦38.2

Denebola 182◦27.8 14◦27.2Gienah 175◦46.5 -17◦39.5Acrux 173◦02.9 -63◦12.8

Gacrux 171◦54.5 -57◦13.7Alioth 166◦15.4 55◦50.6Spica 158◦25.4 -11◦16.3Alcaid 152◦54.2 49◦12.3Hadar 148◦40.0 -60◦28.2

Menkent 148◦01.1 -36◦28.3Arcturus 145◦50.4 19◦04.5

Rigil Kent. 139◦44.2 -60◦55.1Zubenelg. 136◦59.3 -16◦07.7Kochab 137◦19.4 74◦03.9

Alphecca 126◦06.3 26◦38.5Antares 112◦19.6 -26◦28.6

Atria 107◦16.7 -69◦03.6Sabik 102◦06.4 -15◦45.0

Shaula 96◦14.7 -37◦07.0Rasalhague 96◦01.6 12◦32.6

Etamin 90◦43.8 51◦28.9Kaus Aust. 83◦36.8 -34◦22.4

Vega 80◦35.6 38◦47.9Nunki 75◦51.8 -26◦16.2Altair 62◦03.3 8◦55.2

Peacock 53◦11.2 -56◦39.9Deneb 49◦28.3 45◦21.1

Enif 33◦42.2 9◦58.1Alnair 27◦37.4 -46◦51.6

Fomalhaut 15◦18.4 -29◦30.8Scheat 13◦48.6 28◦11.7Markab 13◦33.3 15◦18.9

2021/3/2 SHA Mer.passVenus 22◦07.4 11:52Mars 303◦48.7 17:04

Jupiter 40◦31.7 10:37Saturn 48◦52.4 10:03

2021/3/3 SHA Mer.passVenus 20◦56.4 11:53Mars 303◦12.4 17:02

Jupiter 40◦18.2 10:33Saturn 48◦45.9 09:60

2021/3/4 SHA Mer.passVenus 19◦45.5 11:53Mars 302◦36.0 17:01

Jupiter 40◦04.7 10:30Saturn 48◦39.4 09:56

Horizontal paralaxVenus: 0.1Mars: 0.1

42

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2021 March 02 to Mar. 04

h Sun MoonTue GHA Dec GHA ν Dec d HP0 176◦57.4 -7◦12.2 322◦16.4 10.4 -2◦55.0 -15.4 60.01 191◦57.5 -7◦11.3 336◦45.8 10.4 -3◦10.4 -15.4 60.02 206◦57.6 -7◦10.3 351◦15.2 10.3 -3◦25.7 -15.4 60.03 221◦57.8 -7◦09.4 5◦44.5 10.3 -3◦41.1 -15.3 60.04 236◦57.9 -7◦08.4 20◦13.8 10.3 -3◦56.4 -15.3 60.05 251◦58.0 -7◦07.5 34◦43.1 10.3 -4◦11.7 -15.3 60.06 266◦58.1 -7◦06.5 49◦12.4 10.3 -4◦27.0 -15.3 60.07 281◦58.3 -7◦05.6 63◦41.7 10.3 -4◦42.2 -15.2 60.08 296◦58.4 -7◦04.6 78◦10.9 10.2 -4◦57.4 -15.2 60.09 311◦58.5 -7◦03.6 92◦40.1 10.2 -5◦12.6 -15.2 60.010 326◦58.7 -7◦02.7 107◦09.3 10.2 -5◦27.8 -15.1 60.011 341◦58.8 -7◦01.7 121◦38.5 10.2 -5◦42.9 -15.1 60.012 356◦58.9 -7◦00.8 136◦07.7 10.1 -5◦58.0 -15.1 60.013 11◦59.0 -6◦59.8 150◦36.8 10.1 -6◦13.1 -15.0 60.014 26◦59.2 -6◦58.9 165◦05.9 10.1 -6◦28.1 -15.0 60.015 41◦59.3 -6◦57.9 179◦35.0 10.1 -6◦43.1 -15.0 60.016 56◦59.4 -6◦57.0 194◦04.0 10.0 -6◦58.1 -14.9 60.017 71◦59.6 -6◦56.0 208◦33.0 10.0 -7◦13.0 -14.9 60.018 86◦59.7 -6◦55.0 223◦02.0 10.0 -7◦27.8 -14.8 60.019 101◦59.8 -6◦54.1 237◦31.0 9.9 -7◦42.6 -14.8 60.020 116◦60.0 -6◦53.1 251◦59.9 9.9 -7◦57.4 -14.7 60.021 132◦00.1 -6◦52.2 266◦28.8 9.9 -8◦12.1 -14.7 60.022 147◦00.2 -6◦51.2 280◦57.6 9.8 -8◦26.8 -14.6 60.023 162◦00.3 -6◦50.3 295◦26.5 9.8 -8◦41.4 -14.6 60.0

SD.=16.1 d=1.0 S.D.=16.4

Wed GHA Dec GHA ν Dec d HP0 177◦00.5 -6◦49.3 309◦55.3 9.8 -8◦56.0 -14.5 59.91 192◦00.6 -6◦48.3 324◦24.0 9.7 -9◦10.5 -14.5 59.92 207◦00.7 -6◦47.4 338◦52.7 9.7 -9◦25.0 -14.4 59.93 222◦00.9 -6◦46.4 353◦21.4 9.7 -9◦39.4 -14.4 59.94 237◦01.0 -6◦45.5 7◦50.1 9.6 -9◦53.7 -14.3 59.95 252◦01.1 -6◦44.5 22◦18.7 9.6 -10◦08.0 -14.3 59.96 267◦01.3 -6◦43.5 36◦47.2 9.5 -10◦22.2 -14.2 59.97 282◦01.4 -6◦42.6 51◦15.8 9.5 -10◦36.4 -14.1 59.98 297◦01.5 -6◦41.6 65◦44.2 9.5 -10◦50.5 -14.1 59.99 312◦01.7 -6◦40.7 80◦12.7 9.4 -11◦04.5 -14.0 59.910 327◦01.8 -6◦39.7 94◦41.1 9.4 -11◦18.5 -13.9 59.911 342◦01.9 -6◦38.7 109◦09.4 9.3 -11◦32.3 -13.9 59.912 357◦02.1 -6◦37.8 123◦37.8 9.3 -11◦46.2 -13.8 59.913 12◦02.2 -6◦36.8 138◦06.0 9.2 -11◦59.9 -13.7 59.814 27◦02.3 -6◦35.9 152◦34.2 9.2 -12◦13.6 -13.6 59.815 42◦02.5 -6◦34.9 167◦02.4 9.2 -12◦27.2 -13.6 59.816 57◦02.6 -6◦33.9 181◦30.6 9.1 -12◦40.7 -13.5 59.817 72◦02.7 -6◦33.0 195◦58.7 9.1 -12◦54.1 -13.4 59.818 87◦02.9 -6◦32.0 210◦26.7 9.0 -13◦07.5 -13.3 59.819 102◦03.0 -6◦31.1 224◦54.7 9.0 -13◦20.7 -13.2 59.820 117◦03.1 -6◦30.1 239◦22.6 8.9 -13◦33.9 -13.1 59.821 132◦03.3 -6◦29.1 253◦50.5 8.9 -13◦47.0 -13.1 59.822 147◦03.4 -6◦28.2 268◦18.4 8.8 -14◦00.1 -13.0 59.823 162◦03.5 -6◦27.2 282◦46.2 8.8 -14◦13.0 -12.9 59.7

SD.=16.1 d=1.0 S.D.=16.4

Thu GHA Dec GHA ν Dec d HP0 177◦03.7 -6◦26.3 297◦13.9 8.7 -14◦25.8 -12.8 59.71 192◦03.8 -6◦25.3 311◦41.6 8.7 -14◦38.6 -12.7 59.72 207◦04.0 -6◦24.3 326◦09.3 8.6 -14◦51.3 -12.6 59.73 222◦04.1 -6◦23.4 340◦36.9 8.6 -15◦03.8 -12.5 59.74 237◦04.2 -6◦22.4 355◦04.4 8.5 -15◦16.3 -12.4 59.75 252◦04.4 -6◦21.4 9◦31.9 8.5 -15◦28.7 -12.3 59.76 267◦04.5 -6◦20.5 23◦59.3 8.4 -15◦41.0 -12.2 59.77 282◦04.6 -6◦19.5 38◦26.7 8.4 -15◦53.1 -12.1 59.68 297◦04.8 -6◦18.5 52◦54.1 8.3 -16◦05.2 -12.0 59.69 312◦04.9 -6◦17.6 67◦21.4 8.3 -16◦17.2 -11.9 59.610 327◦05.1 -6◦16.6 81◦48.6 8.2 -16◦29.1 -11.8 59.611 342◦05.2 -6◦15.7 96◦15.8 8.2 -16◦40.8 -11.7 59.612 357◦05.3 -6◦14.7 110◦42.9 8.1 -16◦52.5 -11.6 59.613 12◦05.5 -6◦13.7 125◦10.0 8.0 -17◦04.1 -11.5 59.614 27◦05.6 -6◦12.8 139◦37.0 8.0 -17◦15.5 -11.4 59.515 42◦05.7 -6◦11.8 154◦03.9 7.9 -17◦26.9 -11.3 59.516 57◦05.9 -6◦10.8 168◦30.8 7.9 -17◦38.1 -11.2 59.517 72◦06.0 -6◦09.9 182◦57.7 7.8 -17◦49.2 -11.1 59.518 87◦06.2 -6◦08.9 197◦24.5 7.8 -18◦00.2 -10.9 59.519 102◦06.3 -6◦07.9 211◦51.3 7.7 -18◦11.1 -10.8 59.520 117◦06.4 -6◦07.0 226◦17.9 7.7 -18◦21.9 -10.7 59.421 132◦06.6 -6◦06.0 240◦44.6 7.6 -18◦32.5 -10.6 59.422 147◦06.7 -6◦05.0 255◦11.2 7.6 -18◦43.1 -10.5 59.423 162◦06.9 -6◦04.1 269◦37.7 7.5 -18◦53.5 -10.4 59.4

SD.=16.1 d=1.0 S.D.=16.3

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 04:59 06:17 07:25 17:01 18:09 19:2870 05:05 06:16 07:17 17:09 18:10 19:2168 05:10 06:14 07:10 17:15 18:11 19:1666 05:14 06:13 07:05 17:21 18:12 19:1264 05:17 06:12 06:60 17:25 18:13 19:0862 05:20 06:11 06:56 17:29 18:14 19:0560 05:22 06:10 06:52 17:33 18:15 19:0358 05:24 06:10 06:49 17:36 18:15 19:0156 05:26 06:09 06:46 17:39 18:16 18:5954 05:27 06:08 06:43 17:41 18:17 18:5852 05:28 06:07 06:41 17:44 18:17 18:5650 05:29 06:07 06:39 17:46 18:18 18:5545 05:31 06:05 06:34 17:50 18:20 18:5440 05:32 06:03 06:30 17:54 18:21 18:5335 05:32 06:01 06:27 17:58 18:23 18:5230 05:32 05:60 06:24 18:01 18:25 18:5220 05:30 05:56 06:18 18:06 18:28 18:5410 05:28 05:52 06:13 18:11 18:32 18:560 05:24 05:48 06:09 18:15 18:36 19:00-10 05:18 05:43 06:04 18:20 18:41 19:06-20 05:10 05:36 05:58 18:25 18:47 19:13-30 04:60 05:28 05:52 18:31 18:55 19:23-35 04:53 05:23 05:49 18:34 18:60 19:30-40 04:44 05:17 05:45 18:38 19:06 19:38-45 04:34 05:10 05:40 18:43 19:13 19:49-50 04:21 05:01 05:34 18:48 19:22 20:02-52 04:14 04:57 05:32 18:51 19:26 20:08-54 04:07 04:52 05:29 18:54 19:30 20:15-56 03:58 04:47 05:25 18:57 19:36 20:23-58 03:49 04:41 05:22 19:00 19:41 20:33-60 03:37 04:34 05:18 19:04 19:48 20:44

Moonrise MoonsetLat. Tue Wed Thu Tue Wed Thu72 23:14 –:– 01:58 07:44 07:11 06:2070 22:60 –:– 01:22 07:50 07:28 06:5868 22:48 –:– 00:56 07:56 07:42 07:2466 22:39 –:– 00:37 08:01 07:53 07:4564 22:31 –:– 00:22 08:05 08:03 08:0262 22:24 –:– 00:09 08:08 08:11 08:1560 22:18 23:58 –:– 08:11 08:18 08:2758 22:13 23:49 –:– 08:14 08:25 08:3756 22:09 23:41 –:– 08:17 08:30 08:4654 22:05 23:34 –:– 08:19 08:35 08:5452 22:01 23:27 –:– 08:21 08:40 09:0250 21:58 23:21 –:– 08:23 08:44 09:0845 21:51 23:09 –:– 08:27 08:53 09:2240 21:45 22:59 –:– 08:30 09:01 09:3435 21:40 22:50 –:– 08:33 09:07 09:4430 21:35 22:43 23:50 08:36 09:13 09:5220 21:28 22:30 23:32 08:40 09:23 10:0810 21:21 22:18 23:17 08:45 09:32 10:210 21:15 22:08 23:02 08:48 09:40 10:33-10 21:09 21:57 22:48 08:52 09:48 10:46-20 21:03 21:46 22:33 08:56 09:57 10:59-30 20:56 21:34 22:15 09:01 10:07 11:15-35 20:52 21:27 22:05 09:03 10:13 11:24-40 20:47 21:18 21:54 09:06 10:20 11:34-45 20:42 21:09 21:41 09:10 10:28 11:46-50 20:35 20:58 21:24 09:14 10:37 12:01-52 20:32 20:52 21:17 09:16 10:42 12:08-54 20:29 20:47 21:08 09:18 10:47 12:16-56 20:26 20:40 20:59 09:20 10:52 12:24-58 20:22 20:33 20:48 09:23 10:58 12:34-60 20:17 20:25 20:36 09:26 11:05 12:45

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower2 12:10 12:04 12:12 02:36 15:01 19(87%)3 11:58 11:52 12:11 03:27 15:53 20(78%)4 11:45 11:39 12:11 04:20 16:47 21(68%)

43

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March 05, 06 ,07 (Fri., Sat., Sun.)Aries Venus Mars Jupiter Saturn

Fri GHA GHA Dec GHA Dec GHA Dec GHA Dec0 162◦57.6 181◦32.5 -9◦22.4 104◦57.1 21◦40.4 202◦48.9 -16◦08.4 211◦30.7 -18◦29.21 178◦00.1 196◦32.0 -9◦21.3 119◦58.0 21◦40.7 217◦50.8 -16◦08.3 226◦32.9 -18◦29.12 193◦02.6 211◦31.6 -9◦20.1 134◦58.9 21◦41.0 232◦52.7 -16◦08.1 241◦35.1 -18◦29.13 208◦05.0 226◦31.1 -9◦19.0 149◦59.9 21◦41.3 247◦54.6 -16◦07.9 256◦37.3 -18◦29.04 223◦07.5 241◦30.6 -9◦17.8 165◦00.8 21◦41.6 262◦56.5 -16◦07.8 271◦39.5 -18◦28.95 238◦09.9 256◦30.2 -9◦16.6 180◦01.8 21◦41.9 277◦58.4 -16◦07.6 286◦41.7 -18◦28.96 253◦12.4 271◦29.7 -9◦15.5 195◦02.7 21◦42.2 293◦00.3 -16◦07.4 301◦43.9 -18◦28.87 268◦14.9 286◦29.2 -9◦14.3 210◦03.6 21◦42.5 308◦02.2 -16◦07.3 316◦46.1 -18◦28.78 283◦17.3 301◦28.7 -9◦13.2 225◦04.6 21◦42.8 323◦04.1 -16◦07.1 331◦48.3 -18◦28.79 298◦19.8 316◦28.3 -9◦12.0 240◦05.5 21◦43.2 338◦06.0 -16◦06.9 346◦50.5 -18◦28.610 313◦22.3 331◦27.8 -9◦10.9 255◦06.4 21◦43.5 353◦08.0 -16◦06.8 1◦52.7 -18◦28.511 328◦24.7 346◦27.3 -9◦09.7 270◦07.4 21◦43.8 8◦09.9 -16◦06.6 16◦54.8 -18◦28.512 343◦27.2 1◦26.9 -9◦08.5 285◦08.3 21◦44.1 23◦11.8 -16◦06.4 31◦57.0 -18◦28.413 358◦29.7 16◦26.4 -9◦07.4 300◦09.3 21◦44.4 38◦13.7 -16◦06.3 46◦59.2 -18◦28.414 13◦32.1 31◦25.9 -9◦06.2 315◦10.2 21◦44.7 53◦15.6 -16◦06.1 62◦01.4 -18◦28.315 28◦34.6 46◦25.5 -9◦05.0 330◦11.1 21◦45.0 68◦17.5 -16◦05.9 77◦03.6 -18◦28.216 43◦37.1 61◦25.0 -9◦03.9 345◦12.1 21◦45.3 83◦19.4 -16◦05.8 92◦05.8 -18◦28.217 58◦39.5 76◦24.5 -9◦02.7 0◦13.0 21◦45.6 98◦21.3 -16◦05.6 107◦08.0 -18◦28.118 73◦42.0 91◦24.0 -9◦01.6 15◦13.9 21◦45.9 113◦23.2 -16◦05.4 122◦10.2 -18◦28.019 88◦44.4 106◦23.6 -9◦00.4 30◦14.9 21◦46.2 128◦25.1 -16◦05.3 137◦12.4 -18◦28.020 103◦46.9 121◦23.1 -8◦59.2 45◦15.8 21◦46.6 143◦27.0 -16◦05.1 152◦14.6 -18◦27.921 118◦49.4 136◦22.6 -8◦58.1 60◦16.7 21◦46.9 158◦28.9 -16◦04.9 167◦16.8 -18◦27.822 133◦51.8 151◦22.2 -8◦56.9 75◦17.7 21◦47.2 173◦30.8 -16◦04.8 182◦19.0 -18◦27.823 148◦54.3 166◦21.7 -8◦55.7 90◦18.6 21◦47.5 188◦32.7 -16◦04.6 197◦21.2 -18◦27.7Mer.pass.:13:06 v-0.5 d1.2 m-3.8 v0.9 d0.3 m1.0 v1.9 d0.2 m-1.8 v2.2 d0.1 m0.7

Sat GHA GHA Dec GHA Dec GHA Dec GHA Dec0 163◦56.8 181◦21.2 -8◦54.6 105◦19.5 21◦47.8 203◦34.7 -16◦04.4 212◦23.4 -18◦27.61 178◦59.2 196◦20.8 -8◦53.4 120◦20.5 21◦48.1 218◦36.6 -16◦04.3 227◦25.6 -18◦27.62 194◦01.7 211◦20.3 -8◦52.2 135◦21.4 21◦48.4 233◦38.5 -16◦04.1 242◦27.8 -18◦27.53 209◦04.2 226◦19.8 -8◦51.1 150◦22.4 21◦48.7 248◦40.4 -16◦04.0 257◦30.0 -18◦27.54 224◦06.6 241◦19.4 -8◦49.9 165◦23.3 21◦49.0 263◦42.3 -16◦03.8 272◦32.2 -18◦27.45 239◦09.1 256◦18.9 -8◦48.7 180◦24.2 21◦49.3 278◦44.2 -16◦03.6 287◦34.4 -18◦27.36 254◦11.6 271◦18.5 -8◦47.6 195◦25.2 21◦49.6 293◦46.1 -16◦03.5 302◦36.6 -18◦27.37 269◦14.0 286◦18.0 -8◦46.4 210◦26.1 21◦49.9 308◦48.0 -16◦03.3 317◦38.8 -18◦27.28 284◦16.5 301◦17.5 -8◦45.2 225◦27.0 21◦50.2 323◦49.9 -16◦03.1 332◦41.0 -18◦27.19 299◦18.9 316◦17.1 -8◦44.1 240◦28.0 21◦50.5 338◦51.8 -16◦03.0 347◦43.2 -18◦27.110 314◦21.4 331◦16.6 -8◦42.9 255◦28.9 21◦50.8 353◦53.7 -16◦02.8 2◦45.4 -18◦27.011 329◦23.9 346◦16.1 -8◦41.7 270◦29.8 21◦51.2 8◦55.6 -16◦02.6 17◦47.6 -18◦26.912 344◦26.3 1◦15.7 -8◦40.6 285◦30.7 21◦51.5 23◦57.6 -16◦02.5 32◦49.9 -18◦26.913 359◦28.8 16◦15.2 -8◦39.4 300◦31.7 21◦51.8 38◦59.5 -16◦02.3 47◦52.1 -18◦26.814 14◦31.3 31◦14.8 -8◦38.2 315◦32.6 21◦52.1 54◦01.4 -16◦02.1 62◦54.3 -18◦26.715 29◦33.7 46◦14.3 -8◦37.0 330◦33.5 21◦52.4 69◦03.3 -16◦02.0 77◦56.5 -18◦26.716 44◦36.2 61◦13.8 -8◦35.9 345◦34.5 21◦52.7 84◦05.2 -16◦01.8 92◦58.7 -18◦26.617 59◦38.7 76◦13.4 -8◦34.7 0◦35.4 21◦53.0 99◦07.1 -16◦01.6 108◦00.9 -18◦26.618 74◦41.1 91◦12.9 -8◦33.5 15◦36.3 21◦53.3 114◦09.0 -16◦01.5 123◦03.1 -18◦26.519 89◦43.6 106◦12.5 -8◦32.3 30◦37.3 21◦53.6 129◦10.9 -16◦01.3 138◦05.3 -18◦26.420 104◦46.1 121◦12.0 -8◦31.2 45◦38.2 21◦53.9 144◦12.8 -16◦01.1 153◦07.5 -18◦26.421 119◦48.5 136◦11.5 -8◦30.0 60◦39.1 21◦54.2 159◦14.7 -16◦01.0 168◦09.7 -18◦26.322 134◦51.0 151◦11.1 -8◦28.8 75◦40.1 21◦54.5 174◦16.6 -16◦00.8 183◦11.9 -18◦26.223 149◦53.4 166◦10.6 -8◦27.7 90◦41.0 21◦54.8 189◦18.6 -16◦00.6 198◦14.1 -18◦26.2Mer.pass.:13:02 v-0.5 d1.2 m-3.8 v0.9 d0.3 m1.0 v1.9 d0.2 m-1.8 v2.2 d0.1 m0.7

Sun GHA GHA Dec GHA Dec GHA Dec GHA Dec0 164◦55.9 181◦10.2 -8◦26.5 105◦41.9 21◦55.1 204◦20.5 -16◦00.5 213◦16.3 -18◦26.11 179◦58.4 196◦09.7 -8◦25.3 120◦42.8 21◦55.4 219◦22.4 -16◦00.3 228◦18.5 -18◦26.02 195◦00.8 211◦09.2 -8◦24.1 135◦43.8 21◦55.7 234◦24.3 -16◦00.1 243◦20.7 -18◦26.03 210◦03.3 226◦08.8 -8◦22.9 150◦44.7 21◦56.0 249◦26.2 -15◦60.0 258◦22.9 -18◦25.94 225◦05.8 241◦08.3 -8◦21.8 165◦45.6 21◦56.3 264◦28.1 -15◦59.8 273◦25.1 -18◦25.95 240◦08.2 256◦07.9 -8◦20.6 180◦46.6 21◦56.6 279◦30.0 -15◦59.6 288◦27.3 -18◦25.86 255◦10.7 271◦07.4 -8◦19.4 195◦47.5 21◦56.9 294◦31.9 -15◦59.5 303◦29.5 -18◦25.77 270◦13.2 286◦07.0 -8◦18.2 210◦48.4 21◦57.2 309◦33.8 -15◦59.3 318◦31.7 -18◦25.78 285◦15.6 301◦06.5 -8◦17.1 225◦49.3 21◦57.5 324◦35.7 -15◦59.1 333◦33.9 -18◦25.69 300◦18.1 316◦06.1 -8◦15.9 240◦50.3 21◦57.8 339◦37.7 -15◦59.0 348◦36.1 -18◦25.510 315◦20.5 331◦05.6 -8◦14.7 255◦51.2 21◦58.1 354◦39.6 -15◦58.8 3◦38.3 -18◦25.511 330◦23.0 346◦05.1 -8◦13.5 270◦52.1 21◦58.4 9◦41.5 -15◦58.6 18◦40.5 -18◦25.412 345◦25.5 1◦04.7 -8◦12.3 285◦53.1 21◦58.7 24◦43.4 -15◦58.5 33◦42.7 -18◦25.313 0◦27.9 16◦04.2 -8◦11.2 300◦54.0 21◦59.0 39◦45.3 -15◦58.3 48◦44.9 -18◦25.314 15◦30.4 31◦03.8 -8◦10.0 315◦54.9 21◦59.3 54◦47.2 -15◦58.1 63◦47.1 -18◦25.215 30◦32.9 46◦03.3 -8◦08.8 330◦55.8 21◦59.6 69◦49.1 -15◦58.0 78◦49.3 -18◦25.216 45◦35.3 61◦02.9 -8◦07.6 345◦56.8 21◦59.9 84◦51.0 -15◦57.8 93◦51.5 -18◦25.117 60◦37.8 76◦02.4 -8◦06.4 0◦57.7 22◦00.2 99◦53.0 -15◦57.6 108◦53.7 -18◦25.018 75◦40.3 91◦02.0 -8◦05.3 15◦58.6 22◦00.5 114◦54.9 -15◦57.5 123◦55.9 -18◦25.019 90◦42.7 106◦01.5 -8◦04.1 30◦59.5 22◦00.8 129◦56.8 -15◦57.3 138◦58.1 -18◦24.920 105◦45.2 121◦01.1 -8◦02.9 46◦00.5 22◦01.1 144◦58.7 -15◦57.1 154◦00.3 -18◦24.821 120◦47.7 136◦00.6 -8◦01.7 61◦01.4 22◦01.4 160◦00.6 -15◦57.0 169◦02.5 -18◦24.822 135◦50.1 151◦00.2 -8◦00.5 76◦02.3 22◦01.7 175◦02.5 -15◦56.8 184◦04.7 -18◦24.723 150◦52.6 165◦59.7 -7◦59.3 91◦03.2 22◦02.0 190◦04.4 -15◦56.6 199◦06.9 -18◦24.6Mer.pass.:12:58 v-0.5 d1.2 m-3.8 v0.9 d0.3 m1.0 v1.9 d0.2 m-1.8 v2.2 d0.1 m0.7

StarsSHA Dec

Alpheratz 357◦38.3 29◦12.3Ankaa 353◦10.7 -42◦11.7

Schedar 349◦35.0 56◦39.2Diphda 348◦50.6 -17◦52.5

Achernar 335◦23.1 -57◦08.1Hamal 327◦55.0 23◦33.6Polaris 315◦41.5 89◦21.4Akamar 315◦14.4 -40◦13.6Menkar 314◦09.6 4◦10.2Mirfak 308◦32.9 49◦56.2

Aldebaran 290◦43.2 16◦33.0Rigel 281◦06.8 -8◦10.9

Capella 280◦26.5 46◦01.3Bellatrix 278◦26.2 6◦22.0Elnath 278◦05.8 28◦37.5Alnilam 275◦40.8 -1◦11.5

Betelgeuse 270◦55.4 7◦24.5Canopus 263◦53.6 -52◦42.7

Sirius 258◦28.7 -16◦44.8Adara 255◦08.1 -29◦00.3

Procyon 244◦53.8 5◦10.3Pollux 243◦20.8 27◦58.5Avior 234◦15.5 -59◦34.8Suhail 222◦48.2 -43◦31.2

Miaplacidus 221◦38.0 -69◦48.3Alphard 217◦50.5 -8◦45.1Regulus 207◦37.4 11◦51.8Dubhe 193◦44.3 61◦38.2

Denebola 182◦27.8 14◦27.2Gienah 175◦46.4 -17◦39.6Acrux 173◦02.8 -63◦12.8

Gacrux 171◦54.5 -57◦13.8Alioth 166◦15.4 55◦50.6Spica 158◦25.3 -11◦16.3Alcaid 152◦54.2 49◦12.3Hadar 148◦39.9 -60◦28.2

Menkent 148◦01.0 -36◦28.3Arcturus 145◦50.4 19◦04.5

Rigil Kent. 139◦44.2 -60◦55.1Zubenelg. 136◦59.3 -16◦07.7Kochab 137◦19.3 74◦03.9

Alphecca 126◦06.3 26◦38.5Antares 112◦19.6 -26◦28.6

Atria 107◦16.7 -69◦03.6Sabik 102◦06.4 -15◦45.0

Shaula 96◦14.7 -37◦07.0Rasalhague 96◦01.5 12◦32.6

Etamin 90◦43.8 51◦28.9Kaus Aust. 83◦36.8 -34◦22.3

Vega 80◦35.5 38◦47.9Nunki 75◦51.8 -26◦16.2Altair 62◦03.3 8◦55.2

Peacock 53◦11.1 -56◦39.9Deneb 49◦28.3 45◦21.1

Enif 33◦42.2 9◦58.1Alnair 27◦37.4 -46◦51.6

Fomalhaut 15◦18.4 -29◦30.8Scheat 13◦48.6 28◦11.6Markab 13◦33.3 15◦18.9

2021/3/5 SHA Mer.passVenus 18◦34.9 11:54Mars 301◦59.4 16:59

Jupiter 39◦51.3 10:27Saturn 48◦33.0 09:53

2021/3/6 SHA Mer.passVenus 17◦24.5 11:55Mars 301◦22.8 16:58

Jupiter 39◦37.9 10:24Saturn 48◦26.7 09:49

2021/3/7 SHA Mer.passVenus 16◦14.3 11:56Mars 300◦46.0 16:56

Jupiter 39◦24.6 10:21Saturn 48◦20.4 09:45

Horizontal paralaxVenus: 0.1Mars: 0.1

44

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2021 March 05 to Mar. 07

h Sun MoonFri GHA Dec GHA ν Dec d HP0 177◦07.0 -6◦03.1 284◦04.2 7.5 -19◦03.8 -10.2 59.41 192◦07.1 -6◦02.1 298◦30.6 7.4 -19◦13.9 -10.1 59.42 207◦07.3 -6◦01.2 312◦57.0 7.4 -19◦24.0 -10.0 59.33 222◦07.4 -6◦00.2 327◦23.3 7.3 -19◦33.9 -9.9 59.34 237◦07.6 -5◦59.2 341◦49.6 7.2 -19◦43.7 -9.7 59.35 252◦07.7 -5◦58.3 356◦15.8 7.2 -19◦53.4 -9.6 59.36 267◦07.8 -5◦57.3 10◦42.0 7.1 -20◦02.9 -9.5 59.37 282◦08.0 -5◦56.3 25◦08.1 7.1 -20◦12.3 -9.3 59.38 297◦08.1 -5◦55.4 39◦34.2 7.0 -20◦21.6 -9.2 59.29 312◦08.3 -5◦54.4 54◦00.2 7.0 -20◦30.8 -9.1 59.210 327◦08.4 -5◦53.4 68◦26.2 6.9 -20◦39.8 -9.0 59.211 342◦08.6 -5◦52.5 82◦52.1 6.9 -20◦48.7 -8.8 59.212 357◦08.7 -5◦51.5 97◦17.9 6.8 -20◦57.4 -8.7 59.213 12◦08.8 -5◦50.5 111◦43.8 6.8 -21◦06.0 -8.5 59.214 27◦09.0 -5◦49.6 126◦09.5 6.8 -21◦14.5 -8.4 59.115 42◦09.1 -5◦48.6 140◦35.3 6.7 -21◦22.9 -8.3 59.116 57◦09.3 -5◦47.6 155◦01.0 6.7 -21◦31.1 -8.1 59.117 72◦09.4 -5◦46.7 169◦26.6 6.6 -21◦39.1 -8.0 59.118 87◦09.6 -5◦45.7 183◦52.2 6.6 -21◦47.0 -7.9 59.119 102◦09.7 -5◦44.7 198◦17.7 6.5 -21◦54.8 -7.7 59.020 117◦09.8 -5◦43.8 212◦43.2 6.5 -22◦02.5 -7.6 59.021 132◦10.0 -5◦42.8 227◦08.7 6.4 -22◦10.0 -7.4 59.022 147◦10.1 -5◦41.8 241◦34.1 6.4 -22◦17.3 -7.3 59.023 162◦10.3 -5◦40.9 255◦59.5 6.4 -22◦24.5 -7.1 59.0

SD.=16.1 d=1.0 S.D.=16.2

Sat GHA Dec GHA ν Dec d HP0 177◦10.4 -5◦39.9 270◦24.9 6.3 -22◦31.6 -7.0 59.01 192◦10.6 -5◦38.9 284◦50.2 6.3 -22◦38.5 -6.8 58.92 207◦10.7 -5◦38.0 299◦15.4 6.2 -22◦45.3 -6.7 58.93 222◦10.9 -5◦37.0 313◦40.7 6.2 -22◦51.9 -6.5 58.94 237◦11.0 -5◦36.0 328◦05.9 6.2 -22◦58.3 -6.4 58.95 252◦11.1 -5◦35.0 342◦31.0 6.1 -23◦04.7 -6.2 58.96 267◦11.3 -5◦34.1 356◦56.1 6.1 -23◦10.8 -6.1 58.87 282◦11.4 -5◦33.1 11◦21.2 6.1 -23◦16.9 -5.9 58.88 297◦11.6 -5◦32.1 25◦46.3 6.0 -23◦22.7 -5.8 58.89 312◦11.7 -5◦31.2 40◦11.3 6.0 -23◦28.4 -5.6 58.810 327◦11.9 -5◦30.2 54◦36.3 6.0 -23◦34.0 -5.5 58.811 342◦12.0 -5◦29.2 69◦01.3 6.0 -23◦39.4 -5.3 58.712 357◦12.2 -5◦28.3 83◦26.3 5.9 -23◦44.7 -5.2 58.713 12◦12.3 -5◦27.3 97◦51.2 5.9 -23◦49.8 -5.0 58.714 27◦12.5 -5◦26.3 112◦16.1 5.9 -23◦54.7 -4.9 58.715 42◦12.6 -5◦25.3 126◦41.0 5.9 -23◦59.5 -4.7 58.716 57◦12.8 -5◦24.4 141◦05.8 5.9 -24◦04.1 -4.6 58.617 72◦12.9 -5◦23.4 155◦30.7 5.8 -24◦08.6 -4.4 58.618 87◦13.0 -5◦22.4 169◦55.5 5.8 -24◦12.9 -4.2 58.619 102◦13.2 -5◦21.5 184◦20.3 5.8 -24◦17.1 -4.1 58.620 117◦13.3 -5◦20.5 198◦45.1 5.8 -24◦21.1 -3.9 58.621 132◦13.5 -5◦19.5 213◦09.9 5.8 -24◦25.0 -3.8 58.522 147◦13.6 -5◦18.5 227◦34.6 5.8 -24◦28.7 -3.6 58.523 162◦13.8 -5◦17.6 241◦59.4 5.7 -24◦32.2 -3.5 58.5

SD.=16.1 d=1.0 S.D.=16.1

Sun GHA Dec GHA ν Dec d HP0 177◦13.9 -5◦16.6 256◦24.1 5.7 -24◦35.6 -3.3 58.51 192◦14.1 -5◦15.6 270◦48.9 5.7 -24◦38.8 -3.1 58.52 207◦14.2 -5◦14.6 285◦13.6 5.7 -24◦41.8 -3.0 58.43 222◦14.4 -5◦13.7 299◦38.3 5.7 -24◦44.7 -2.8 58.44 237◦14.5 -5◦12.7 314◦03.1 5.7 -24◦47.5 -2.7 58.45 252◦14.7 -5◦11.7 328◦27.8 5.7 -24◦50.0 -2.5 58.46 267◦14.8 -5◦10.8 342◦52.5 5.7 -24◦52.5 -2.3 58.47 282◦15.0 -5◦09.8 357◦17.2 5.7 -24◦54.7 -2.2 58.38 297◦15.1 -5◦08.8 11◦41.9 5.7 -24◦56.8 -2.0 58.39 312◦15.3 -5◦07.8 26◦06.7 5.7 -24◦58.8 -1.9 58.310 327◦15.4 -5◦06.9 40◦31.4 5.7 -25◦00.5 -1.7 58.311 342◦15.6 -5◦05.9 54◦56.1 5.7 -25◦02.2 -1.5 58.212 357◦15.7 -5◦04.9 69◦20.9 5.8 -25◦03.6 -1.4 58.213 12◦15.9 -5◦03.9 83◦45.6 5.8 -25◦04.9 -1.2 58.214 27◦16.0 -5◦03.0 98◦10.4 5.8 -25◦06.0 -1.1 58.215 42◦16.2 -5◦02.0 112◦35.2 5.8 -25◦07.0 -0.9 58.216 57◦16.3 -5◦01.0 127◦00.0 5.8 -25◦07.8 -0.7 58.117 72◦16.5 -5◦00.0 141◦24.8 5.8 -25◦08.5 -0.6 58.118 87◦16.6 -4◦59.1 155◦49.7 5.9 -25◦09.0 -0.4 58.119 102◦16.8 -4◦58.1 170◦14.5 5.9 -25◦09.4 -0.3 58.120 117◦16.9 -4◦57.1 184◦39.4 5.9 -25◦09.5 -0.1 58.121 132◦17.1 -4◦56.1 199◦04.3 5.9 -25◦09.6 0.1 58.022 147◦17.2 -4◦55.2 213◦29.3 5.9 -25◦09.4 0.2 58.023 162◦17.4 -4◦54.2 227◦54.2 6.0 -25◦09.1 0.4 58.0

SD.=16.1 d=1.0 S.D.=16.0

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 04:43 06:02 07:10 17:15 18:23 19:4270 04:51 06:02 07:03 17:21 18:22 19:3468 04:58 06:02 06:58 17:26 18:22 19:2766 05:03 06:02 06:53 17:31 18:22 19:2264 05:07 06:02 06:49 17:34 18:22 19:1762 05:11 06:02 06:46 17:38 18:22 19:1360 05:14 06:02 06:43 17:40 18:22 19:1058 05:16 06:02 06:41 17:43 18:22 19:0856 05:18 06:01 06:38 17:45 18:22 19:0554 05:20 06:01 06:36 17:47 18:22 19:0352 05:22 06:01 06:34 17:49 18:23 19:0250 05:23 06:00 06:33 17:51 18:23 19:0045 05:26 05:60 06:29 17:54 18:24 18:5840 05:27 05:59 06:26 17:57 18:24 18:5635 05:28 05:58 06:23 18:00 18:25 18:5530 05:29 05:56 06:20 18:03 18:26 18:5420 05:28 05:54 06:16 18:07 18:29 18:5410 05:26 05:51 06:12 18:11 18:32 18:560 05:23 05:47 06:08 18:14 18:35 18:59-10 05:18 05:43 06:04 18:18 18:39 19:04-20 05:11 05:37 05:60 18:23 18:45 19:11-30 05:02 05:30 05:54 18:27 18:52 19:20-35 04:56 05:26 05:51 18:30 18:56 19:26-40 04:48 05:21 05:48 18:34 19:01 19:33-45 04:39 05:14 05:44 18:37 19:07 19:43-50 04:26 05:06 05:39 18:42 19:15 19:55-52 04:21 05:02 05:37 18:44 19:19 20:00-54 04:14 04:58 05:35 18:47 19:23 20:07-56 04:06 04:54 05:32 18:49 19:27 20:14-58 03:58 04:48 05:29 18:52 19:33 20:23-60 03:47 04:42 05:25 18:55 19:38 20:33

Moonrise MoonsetLat. Fri Sat Sun Fri Sat Sun72 –:– –:– –:– –:– –:– –:–70 –:– –:– –:– –:– –:– –:–68 03:23 –:– –:– 06:53 –:– –:–66 02:44 05:09 –:– 07:33 07:08 –:–64 02:16 04:13 06:01 08:01 08:04 08:1962 01:56 03:40 05:11 08:23 08:38 09:0860 01:39 03:16 04:40 08:41 09:02 09:4058 01:25 02:56 04:17 08:55 09:22 10:0356 01:13 02:40 03:58 09:08 09:38 10:2254 01:02 02:27 03:42 09:19 09:52 10:3852 00:53 02:15 03:29 09:29 10:05 10:5250 00:44 02:04 03:17 09:38 10:16 11:0445 00:27 01:42 02:52 09:57 10:38 11:2940 00:13 01:25 02:32 10:12 10:57 11:4935 00:01 01:10 02:16 10:25 11:12 12:0630 –:– 00:57 02:01 10:36 11:25 12:2020 –:– 00:35 01:37 10:56 11:48 12:4410 –:– 00:16 01:17 11:13 12:08 13:060 23:59 –:– 00:57 11:29 12:27 13:25-10 23:42 –:– 00:38 11:45 12:45 13:45-20 23:23 –:– 00:17 12:02 13:05 14:06-30 23:02 23:54 –:– 12:22 13:28 14:31-35 22:49 23:40 –:– 12:34 13:42 14:45-40 22:35 23:24 –:– 12:47 13:57 15:02-45 22:18 23:05 23:60 13:03 14:16 15:21-50 21:58 22:41 23:35 13:23 14:39 15:46-52 21:48 22:29 23:23 13:32 14:50 15:58-54 21:37 22:16 23:09 13:42 15:03 16:12-56 21:25 22:01 22:53 13:54 15:18 16:28-58 21:10 21:44 22:34 14:08 15:35 16:47-60 20:54 21:23 22:11 14:24 15:56 17:10

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower5 11:32 11:25 12:11 05:15 17:43 22(56%)6 11:18 11:11 12:11 06:12 18:41 23(45%)7 11:04 10:57 12:10 07:11 19:40 24(34%)

45

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March 08, 09 ,10 (Mon., Tue., Wed.)Aries Venus Mars Jupiter Saturn

Mon GHA GHA Dec GHA Dec GHA Dec GHA Dec0 165◦55.0 180◦59.3 -7◦58.2 106◦04.2 22◦02.3 205◦06.3 -15◦56.5 214◦09.1 -18◦24.61 180◦57.5 195◦58.8 -7◦57.0 121◦05.1 22◦02.6 220◦08.2 -15◦56.3 229◦11.3 -18◦24.52 195◦60.0 210◦58.4 -7◦55.8 136◦06.0 22◦02.9 235◦10.2 -15◦56.1 244◦13.6 -18◦24.53 211◦02.4 225◦57.9 -7◦54.6 151◦06.9 22◦03.2 250◦12.1 -15◦56.0 259◦15.8 -18◦24.44 226◦04.9 240◦57.5 -7◦53.4 166◦07.9 22◦03.5 265◦14.0 -15◦55.8 274◦18.0 -18◦24.35 241◦07.4 255◦57.0 -7◦52.2 181◦08.8 22◦03.8 280◦15.9 -15◦55.6 289◦20.2 -18◦24.36 256◦09.8 270◦56.6 -7◦51.0 196◦09.7 22◦04.1 295◦17.8 -15◦55.5 304◦22.4 -18◦24.27 271◦12.3 285◦56.1 -7◦49.9 211◦10.6 22◦04.3 310◦19.7 -15◦55.3 319◦24.6 -18◦24.18 286◦14.8 300◦55.7 -7◦48.7 226◦11.6 22◦04.6 325◦21.6 -15◦55.1 334◦26.8 -18◦24.19 301◦17.2 315◦55.2 -7◦47.5 241◦12.5 22◦04.9 340◦23.6 -15◦55.0 349◦29.0 -18◦24.010 316◦19.7 330◦54.8 -7◦46.3 256◦13.4 22◦05.2 355◦25.5 -15◦54.8 4◦31.2 -18◦23.911 331◦22.2 345◦54.3 -7◦45.1 271◦14.3 22◦05.5 10◦27.4 -15◦54.6 19◦33.4 -18◦23.912 346◦24.6 0◦53.9 -7◦43.9 286◦15.2 22◦05.8 25◦29.3 -15◦54.5 34◦35.6 -18◦23.813 1◦27.1 15◦53.5 -7◦42.7 301◦16.2 22◦06.1 40◦31.2 -15◦54.3 49◦37.8 -18◦23.814 16◦29.5 30◦53.0 -7◦41.5 316◦17.1 22◦06.4 55◦33.1 -15◦54.1 64◦40.0 -18◦23.715 31◦32.0 45◦52.6 -7◦40.3 331◦18.0 22◦06.7 70◦35.0 -15◦54.0 79◦42.2 -18◦23.616 46◦34.5 60◦52.1 -7◦39.2 346◦18.9 22◦07.0 85◦36.9 -15◦53.8 94◦44.4 -18◦23.617 61◦36.9 75◦51.7 -7◦38.0 1◦19.8 22◦07.3 100◦38.9 -15◦53.6 109◦46.6 -18◦23.518 76◦39.4 90◦51.2 -7◦36.8 16◦20.8 22◦07.6 115◦40.8 -15◦53.5 124◦48.8 -18◦23.419 91◦41.9 105◦50.8 -7◦35.6 31◦21.7 22◦07.9 130◦42.7 -15◦53.3 139◦51.0 -18◦23.420 106◦44.3 120◦50.3 -7◦34.4 46◦22.6 22◦08.2 145◦44.6 -15◦53.1 154◦53.2 -18◦23.321 121◦46.8 135◦49.9 -7◦33.2 61◦23.5 22◦08.5 160◦46.5 -15◦53.0 169◦55.4 -18◦23.322 136◦49.3 150◦49.5 -7◦32.0 76◦24.5 22◦08.8 175◦48.4 -15◦52.8 184◦57.7 -18◦23.223 151◦51.7 165◦49.0 -7◦30.8 91◦25.4 22◦09.0 190◦50.3 -15◦52.6 199◦59.9 -18◦23.1Mer.pass.:12:54 v-0.4 d1.2 m-3.8 v0.9 d0.3 m1.0 v1.9 d0.2 m-1.8 v2.2 d0.1 m0.7

Tue GHA GHA Dec GHA Dec GHA Dec GHA Dec0 166◦54.2 180◦48.6 -7◦29.6 106◦26.3 22◦09.3 205◦52.3 -15◦52.5 215◦02.1 -18◦23.11 181◦56.7 195◦48.1 -7◦28.4 121◦27.2 22◦09.6 220◦54.2 -15◦52.3 230◦04.3 -18◦23.02 196◦59.1 210◦47.7 -7◦27.2 136◦28.1 22◦09.9 235◦56.1 -15◦52.1 245◦06.5 -18◦22.93 212◦01.6 225◦47.2 -7◦26.0 151◦29.1 22◦10.2 250◦58.0 -15◦52.0 260◦08.7 -18◦22.94 227◦04.0 240◦46.8 -7◦24.8 166◦30.0 22◦10.5 265◦59.9 -15◦51.8 275◦10.9 -18◦22.85 242◦06.5 255◦46.4 -7◦23.6 181◦30.9 22◦10.8 281◦01.8 -15◦51.7 290◦13.1 -18◦22.76 257◦09.0 270◦45.9 -7◦22.5 196◦31.8 22◦11.1 296◦03.8 -15◦51.5 305◦15.3 -18◦22.77 272◦11.4 285◦45.5 -7◦21.3 211◦32.7 22◦11.4 311◦05.7 -15◦51.3 320◦17.5 -18◦22.68 287◦13.9 300◦45.0 -7◦20.1 226◦33.6 22◦11.7 326◦07.6 -15◦51.2 335◦19.7 -18◦22.69 302◦16.4 315◦44.6 -7◦18.9 241◦34.6 22◦11.9 341◦09.5 -15◦51.0 350◦21.9 -18◦22.510 317◦18.8 330◦44.2 -7◦17.7 256◦35.5 22◦12.2 356◦11.4 -15◦50.8 5◦24.1 -18◦22.411 332◦21.3 345◦43.7 -7◦16.5 271◦36.4 22◦12.5 11◦13.3 -15◦50.7 20◦26.3 -18◦22.412 347◦23.8 0◦43.3 -7◦15.3 286◦37.3 22◦12.8 26◦15.2 -15◦50.5 35◦28.5 -18◦22.313 2◦26.2 15◦42.8 -7◦14.1 301◦38.2 22◦13.1 41◦17.2 -15◦50.3 50◦30.8 -18◦22.214 17◦28.7 30◦42.4 -7◦12.9 316◦39.1 22◦13.4 56◦19.1 -15◦50.2 65◦33.0 -18◦22.215 32◦31.2 45◦42.0 -7◦11.7 331◦40.1 22◦13.7 71◦21.0 -15◦50.0 80◦35.2 -18◦22.116 47◦33.6 60◦41.5 -7◦10.5 346◦41.0 22◦14.0 86◦22.9 -15◦49.8 95◦37.4 -18◦22.117 62◦36.1 75◦41.1 -7◦09.3 1◦41.9 22◦14.3 101◦24.8 -15◦49.7 110◦39.6 -18◦22.018 77◦38.5 90◦40.6 -7◦08.1 16◦42.8 22◦14.5 116◦26.7 -15◦49.5 125◦41.8 -18◦21.919 92◦41.0 105◦40.2 -7◦06.9 31◦43.7 22◦14.8 131◦28.7 -15◦49.3 140◦44.0 -18◦21.920 107◦43.5 120◦39.8 -7◦05.7 46◦44.6 22◦15.1 146◦30.6 -15◦49.2 155◦46.2 -18◦21.821 122◦45.9 135◦39.3 -7◦04.5 61◦45.6 22◦15.4 161◦32.5 -15◦49.0 170◦48.4 -18◦21.722 137◦48.4 150◦38.9 -7◦03.3 76◦46.5 22◦15.7 176◦34.4 -15◦48.8 185◦50.6 -18◦21.723 152◦50.9 165◦38.5 -7◦02.1 91◦47.4 22◦16.0 191◦36.3 -15◦48.7 200◦52.8 -18◦21.6Mer.pass.:12:50 v-0.4 d1.2 m-3.8 v0.9 d0.3 m1.0 v1.9 d0.2 m-1.8 v2.2 d0.1 m0.7

Wed GHA GHA Dec GHA Dec GHA Dec GHA Dec0 167◦53.3 180◦38.0 -7◦00.9 106◦48.3 22◦16.3 206◦38.2 -15◦48.5 215◦55.0 -18◦21.61 182◦55.8 195◦37.6 -6◦59.7 121◦49.2 22◦16.6 221◦40.2 -15◦48.3 230◦57.3 -18◦21.52 197◦58.3 210◦37.2 -6◦58.5 136◦50.1 22◦16.8 236◦42.1 -15◦48.2 245◦59.5 -18◦21.43 213◦00.7 225◦36.7 -6◦57.3 151◦51.0 22◦17.1 251◦44.0 -15◦48.0 261◦01.7 -18◦21.44 228◦03.2 240◦36.3 -6◦56.1 166◦52.0 22◦17.4 266◦45.9 -15◦47.8 276◦03.9 -18◦21.35 243◦05.6 255◦35.9 -6◦54.9 181◦52.9 22◦17.7 281◦47.8 -15◦47.7 291◦06.1 -18◦21.26 258◦08.1 270◦35.4 -6◦53.7 196◦53.8 22◦18.0 296◦49.7 -15◦47.5 306◦08.3 -18◦21.27 273◦10.6 285◦35.0 -6◦52.5 211◦54.7 22◦18.3 311◦51.7 -15◦47.3 321◦10.5 -18◦21.18 288◦13.0 300◦34.6 -6◦51.3 226◦55.6 22◦18.5 326◦53.6 -15◦47.2 336◦12.7 -18◦21.19 303◦15.5 315◦34.1 -6◦50.1 241◦56.5 22◦18.8 341◦55.5 -15◦47.0 351◦14.9 -18◦21.010 318◦18.0 330◦33.7 -6◦48.9 256◦57.4 22◦19.1 356◦57.4 -15◦46.8 6◦17.1 -18◦20.911 333◦20.4 345◦33.3 -6◦47.7 271◦58.4 22◦19.4 11◦59.3 -15◦46.7 21◦19.3 -18◦20.912 348◦22.9 0◦32.8 -6◦46.4 286◦59.3 22◦19.7 27◦01.3 -15◦46.5 36◦21.6 -18◦20.813 3◦25.4 15◦32.4 -6◦45.2 302◦00.2 22◦20.0 42◦03.2 -15◦46.3 51◦23.8 -18◦20.714 18◦27.8 30◦32.0 -6◦44.0 317◦01.1 22◦20.2 57◦05.1 -15◦46.2 66◦26.0 -18◦20.715 33◦30.3 45◦31.5 -6◦42.8 332◦02.0 22◦20.5 72◦07.0 -15◦46.0 81◦28.2 -18◦20.616 48◦32.8 60◦31.1 -6◦41.6 347◦02.9 22◦20.8 87◦08.9 -15◦45.8 96◦30.4 -18◦20.617 63◦35.2 75◦30.7 -6◦40.4 2◦03.8 22◦21.1 102◦10.9 -15◦45.7 111◦32.6 -18◦20.518 78◦37.7 90◦30.2 -6◦39.2 17◦04.7 22◦21.4 117◦12.8 -15◦45.5 126◦34.8 -18◦20.419 93◦40.1 105◦29.8 -6◦38.0 32◦05.7 22◦21.7 132◦14.7 -15◦45.4 141◦37.0 -18◦20.420 108◦42.6 120◦29.4 -6◦36.8 47◦06.6 22◦21.9 147◦16.6 -15◦45.2 156◦39.2 -18◦20.321 123◦45.1 135◦28.9 -6◦35.6 62◦07.5 22◦22.2 162◦18.5 -15◦45.0 171◦41.4 -18◦20.222 138◦47.5 150◦28.5 -6◦34.4 77◦08.4 22◦22.5 177◦20.4 -15◦44.9 186◦43.7 -18◦20.223 153◦50.0 165◦28.1 -6◦33.2 92◦09.3 22◦22.8 192◦22.4 -15◦44.7 201◦45.9 -18◦20.1Mer.pass.:12:46 v-0.4 d1.2 m-3.8 v0.9 d0.3 m1.0 v1.9 d0.2 m-1.8 v2.2 d0.1 m0.7

StarsSHA Dec

Alpheratz 357◦38.3 29◦12.3Ankaa 353◦10.7 -42◦11.7

Schedar 349◦35.0 56◦39.1Diphda 348◦50.6 -17◦52.5

Achernar 335◦23.1 -57◦08.1Hamal 327◦55.0 23◦33.6Polaris 315◦42.6 89◦21.4Akamar 315◦14.4 -40◦13.6Menkar 314◦09.6 4◦10.2Mirfak 308◦32.9 49◦56.2

Aldebaran 290◦43.2 16◦33.0Rigel 281◦06.8 -8◦10.9

Capella 280◦26.5 46◦01.3Bellatrix 278◦26.2 6◦22.0Elnath 278◦05.8 28◦37.5Alnilam 275◦40.9 -1◦11.5

Betelgeuse 270◦55.4 7◦24.5Canopus 263◦53.6 -52◦42.7

Sirius 258◦28.7 -16◦44.8Adara 255◦08.1 -29◦00.3

Procyon 244◦53.8 5◦10.3Pollux 243◦20.8 27◦58.5Avior 234◦15.5 -59◦34.8Suhail 222◦48.2 -43◦31.2

Miaplacidus 221◦38.0 -69◦48.4Alphard 217◦50.5 -8◦45.1Regulus 207◦37.4 11◦51.8Dubhe 193◦44.2 61◦38.2

Denebola 182◦27.7 14◦27.2Gienah 175◦46.4 -17◦39.6Acrux 173◦02.8 -63◦12.8

Gacrux 171◦54.5 -57◦13.8Alioth 166◦15.3 55◦50.6Spica 158◦25.3 -11◦16.3Alcaid 152◦54.2 49◦12.3Hadar 148◦39.9 -60◦28.3

Menkent 148◦01.0 -36◦28.3Arcturus 145◦50.4 19◦04.5

Rigil Kent. 139◦44.1 -60◦55.1Zubenelg. 136◦59.3 -16◦07.7Kochab 137◦19.2 74◦03.9

Alphecca 126◦06.3 26◦38.5Antares 112◦19.6 -26◦28.6

Atria 107◦16.6 -69◦03.6Sabik 102◦06.4 -15◦45.0

Shaula 96◦14.6 -37◦07.0Rasalhague 96◦01.5 12◦32.6

Etamin 90◦43.7 51◦28.9Kaus Aust. 83◦36.8 -34◦22.3

Vega 80◦35.5 38◦47.9Nunki 75◦51.8 -26◦16.2Altair 62◦03.3 8◦55.2

Peacock 53◦11.1 -56◦39.9Deneb 49◦28.2 45◦21.1

Enif 33◦42.2 9◦58.1Alnair 27◦37.3 -46◦51.6

Fomalhaut 15◦18.4 -29◦30.8Scheat 13◦48.6 28◦11.6Markab 13◦33.3 15◦18.9

2021/3/8 SHA Mer.passVenus 15◦04.2 11:56Mars 300◦09.1 16:55

Jupiter 39◦11.3 10:18Saturn 48◦14.1 09:42

2021/3/9 SHA Mer.passVenus 13◦54.4 11:57Mars 299◦32.1 16:53

Jupiter 38◦58.1 10:15Saturn 48◦07.9 09:38

2021/3/1 SHA Mer.passVenus 12◦44.7 11:58Mars 298◦55.0 16:52

Jupiter 38◦44.9 10:12Saturn 48◦01.7 09:35

Horizontal paralaxVenus: 0.1Mars: 0.1

46

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2021 March 08 to Mar. 10

h Sun MoonMon GHA Dec GHA ν Dec d HP0 177◦17.5 -4◦53.2 242◦19.2 6.0 -25◦08.7 0.5 58.01 192◦17.7 -4◦52.2 256◦44.2 6.0 -25◦08.1 0.7 58.02 207◦17.8 -4◦51.3 271◦09.3 6.1 -25◦07.3 0.8 57.93 222◦18.0 -4◦50.3 285◦34.4 6.1 -25◦06.4 1.0 57.94 237◦18.2 -4◦49.3 299◦59.5 6.1 -25◦05.3 1.1 57.95 252◦18.3 -4◦48.3 314◦24.6 6.2 -25◦04.1 1.3 57.96 267◦18.5 -4◦47.4 328◦49.8 6.2 -25◦02.7 1.5 57.97 282◦18.6 -4◦46.4 343◦15.1 6.3 -25◦01.2 1.6 57.88 297◦18.8 -4◦45.4 357◦40.3 6.3 -24◦59.5 1.8 57.89 312◦18.9 -4◦44.4 12◦05.6 6.3 -24◦57.7 1.9 57.810 327◦19.1 -4◦43.5 26◦31.0 6.4 -24◦55.7 2.1 57.811 342◦19.2 -4◦42.5 40◦56.4 6.4 -24◦53.5 2.2 57.712 357◦19.4 -4◦41.5 55◦21.8 6.5 -24◦51.2 2.4 57.713 12◦19.5 -4◦40.5 69◦47.3 6.5 -24◦48.8 2.5 57.714 27◦19.7 -4◦39.6 84◦12.9 6.6 -24◦46.2 2.7 57.715 42◦19.8 -4◦38.6 98◦38.5 6.6 -24◦43.4 2.8 57.716 57◦20.0 -4◦37.6 113◦04.1 6.7 -24◦40.6 3.0 57.617 72◦20.2 -4◦36.6 127◦29.8 6.7 -24◦37.5 3.1 57.618 87◦20.3 -4◦35.6 141◦55.6 6.8 -24◦34.3 3.3 57.619 102◦20.5 -4◦34.7 156◦21.4 6.8 -24◦31.0 3.4 57.620 117◦20.6 -4◦33.7 170◦47.3 6.9 -24◦27.5 3.6 57.621 132◦20.8 -4◦32.7 185◦13.2 7.0 -24◦23.9 3.7 57.522 147◦20.9 -4◦31.7 199◦39.2 7.0 -24◦20.1 3.8 57.523 162◦21.1 -4◦30.8 214◦05.2 7.1 -24◦16.2 4.0 57.5

SD.=16.1 d=1.0 S.D.=15.8

Tue GHA Dec GHA ν Dec d HP0 177◦21.2 -4◦29.8 228◦31.3 7.1 -24◦12.1 4.1 57.51 192◦21.4 -4◦28.8 242◦57.5 7.2 -24◦07.9 4.3 57.52 207◦21.6 -4◦27.8 257◦23.8 7.3 -24◦03.6 4.4 57.43 222◦21.7 -4◦26.8 271◦50.1 7.3 -23◦59.1 4.5 57.44 237◦21.9 -4◦25.9 286◦16.4 7.4 -23◦54.5 4.7 57.45 252◦22.0 -4◦24.9 300◦42.9 7.5 -23◦49.8 4.8 57.46 267◦22.2 -4◦23.9 315◦09.4 7.5 -23◦44.9 5.0 57.47 282◦22.3 -4◦22.9 329◦35.9 7.6 -23◦39.9 5.1 57.38 297◦22.5 -4◦22.0 344◦02.6 7.7 -23◦34.7 5.2 57.39 312◦22.7 -4◦21.0 358◦29.3 7.7 -23◦29.4 5.4 57.310 327◦22.8 -4◦20.0 12◦56.1 7.8 -23◦24.0 5.5 57.311 342◦23.0 -4◦19.0 27◦22.9 7.9 -23◦18.4 5.6 57.212 357◦23.1 -4◦18.0 41◦49.8 8.0 -23◦12.8 5.7 57.213 12◦23.3 -4◦17.1 56◦16.8 8.0 -23◦06.9 5.9 57.214 27◦23.4 -4◦16.1 70◦43.9 8.1 -23◦01.0 6.0 57.215 42◦23.6 -4◦15.1 85◦11.1 8.2 -22◦54.9 6.1 57.216 57◦23.8 -4◦14.1 99◦38.3 8.3 -22◦48.7 6.3 57.117 72◦23.9 -4◦13.1 114◦05.6 8.3 -22◦42.4 6.4 57.118 87◦24.1 -4◦12.2 128◦33.0 8.4 -22◦36.0 6.5 57.119 102◦24.2 -4◦11.2 143◦00.4 8.5 -22◦29.4 6.6 57.120 117◦24.4 -4◦10.2 157◦28.0 8.6 -22◦22.7 6.8 57.121 132◦24.6 -4◦09.2 171◦55.6 8.7 -22◦15.9 6.9 57.022 147◦24.7 -4◦08.2 186◦23.3 8.7 -22◦09.0 7.0 57.023 162◦24.9 -4◦07.3 200◦51.1 8.8 -22◦01.9 7.1 57.0

SD.=16.1 d=1.0 S.D.=15.7

Wed GHA Dec GHA ν Dec d HP0 177◦25.0 -4◦06.3 215◦18.9 8.9 -21◦54.8 7.2 57.01 192◦25.2 -4◦05.3 229◦46.9 9.0 -21◦47.5 7.3 57.02 207◦25.3 -4◦04.3 244◦14.9 9.1 -21◦40.1 7.5 56.93 222◦25.5 -4◦03.3 258◦43.0 9.1 -21◦32.6 7.6 56.94 237◦25.7 -4◦02.4 273◦11.2 9.2 -21◦24.9 7.7 56.95 252◦25.8 -4◦01.4 287◦39.4 9.3 -21◦17.2 7.8 56.96 267◦26.0 -4◦00.4 302◦07.8 9.4 -21◦09.4 7.9 56.97 282◦26.2 -3◦59.4 316◦36.2 9.5 -21◦01.4 8.0 56.88 297◦26.3 -3◦58.4 331◦04.7 9.6 -20◦53.3 8.1 56.89 312◦26.5 -3◦57.5 345◦33.3 9.6 -20◦45.2 8.2 56.810 327◦26.6 -3◦56.5 0◦02.0 9.7 -20◦36.9 8.3 56.811 342◦26.8 -3◦55.5 14◦30.8 9.8 -20◦28.5 8.4 56.812 357◦27.0 -3◦54.5 28◦59.6 9.9 -20◦20.1 8.5 56.713 12◦27.1 -3◦53.5 43◦28.5 10.0 -20◦11.5 8.6 56.714 27◦27.3 -3◦52.5 57◦57.5 10.1 -20◦02.8 8.7 56.715 42◦27.4 -3◦51.6 72◦26.6 10.1 -19◦54.0 8.8 56.716 57◦27.6 -3◦50.6 86◦55.8 10.2 -19◦45.1 8.9 56.617 72◦27.8 -3◦49.6 101◦25.1 10.3 -19◦36.2 9.0 56.618 87◦27.9 -3◦48.6 115◦54.4 10.4 -19◦27.1 9.1 56.619 102◦28.1 -3◦47.6 130◦23.9 10.5 -19◦17.9 9.2 56.620 117◦28.2 -3◦46.7 144◦53.4 10.6 -19◦08.7 9.3 56.621 132◦28.4 -3◦45.7 159◦23.0 10.6 -18◦59.3 9.4 56.522 147◦28.6 -3◦44.7 173◦52.7 10.7 -18◦49.9 9.5 56.523 162◦28.7 -3◦43.7 188◦22.4 10.8 -18◦40.3 9.6 56.5

SD.=16.1 d=1.0 S.D.=15.5

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 04:27 05:47 06:54 17:29 18:36 19:5770 04:37 05:49 06:49 17:34 18:34 19:4768 04:45 05:50 06:45 17:37 18:33 19:3966 04:51 05:51 06:42 17:41 18:32 19:3264 04:57 05:52 06:39 17:43 18:31 19:2662 05:01 05:53 06:37 17:46 18:30 19:2260 05:05 05:53 06:34 17:48 18:29 19:1858 05:08 05:53 06:32 17:50 18:29 19:1556 05:11 05:54 06:31 17:51 18:28 19:1254 05:13 05:54 06:29 17:53 18:28 19:0952 05:15 05:54 06:28 17:54 18:28 19:0750 05:17 05:54 06:26 17:56 18:28 19:0545 05:20 05:54 06:23 17:58 18:28 19:0240 05:23 05:54 06:21 18:01 18:28 18:5935 05:24 05:54 06:19 18:03 18:28 18:5730 05:25 05:53 06:17 18:05 18:28 18:5620 05:26 05:51 06:13 18:08 18:30 18:5510 05:25 05:49 06:10 18:11 18:32 18:560 05:22 05:46 06:07 18:14 18:34 18:59-10 05:18 05:43 06:04 18:17 18:38 19:02-20 05:13 05:38 06:01 18:20 18:42 19:08-30 05:04 05:32 05:56 18:24 18:48 19:16-35 04:59 05:29 05:54 18:26 18:52 19:22-40 04:52 05:24 05:51 18:29 18:56 19:28-45 04:43 05:18 05:48 18:32 19:02 19:37-50 04:32 05:11 05:44 18:36 19:08 19:47-52 04:27 05:08 05:42 18:37 19:12 19:53-54 04:21 05:04 05:40 18:39 19:15 19:59-56 04:14 05:00 05:38 18:41 19:19 20:05-58 04:06 04:56 05:36 18:44 19:24 20:13-60 03:57 04:50 05:33 18:46 19:29 20:22

Moonrise MoonsetLat. Mon Tue Wed Mon Tue Wed72 –:– –:– –:– –:– –:– –:–70 –:– –:– –:– –:– –:– –:–68 –:– –:– 08:41 –:– –:– 11:3166 –:– 08:24 07:54 –:– 09:56 12:1864 07:04 07:20 07:24 09:18 10:60 12:4862 06:14 06:45 07:00 10:08 11:34 13:1060 05:42 06:20 06:42 10:39 11:59 13:2858 05:19 05:60 06:26 11:03 12:19 13:4356 04:59 05:43 06:13 11:22 12:35 13:5654 04:43 05:29 06:01 11:38 12:49 14:0752 04:30 05:16 05:51 11:52 13:01 14:1750 04:17 05:05 05:42 12:04 13:12 14:2545 03:52 04:42 05:22 12:28 13:35 14:4440 03:32 04:24 05:07 12:48 13:52 14:5935 03:16 04:08 04:53 13:05 14:07 15:1130 03:01 03:55 04:41 13:19 14:20 15:2220 02:37 03:32 04:21 13:43 14:43 15:4110 02:16 03:12 04:04 14:04 15:02 15:570 01:56 02:53 03:47 14:23 15:19 16:12-10 01:36 02:34 03:31 14:43 15:37 16:27-20 01:15 02:14 03:13 15:04 15:56 16:43-30 00:51 01:51 02:53 15:27 16:18 17:01-35 00:36 01:37 02:41 15:41 16:30 17:12-40 00:20 01:22 02:27 15:58 16:45 17:24-45 –:– 01:03 02:11 16:17 17:02 17:38-50 –:– 00:39 01:50 16:41 17:23 17:55-52 –:– 00:28 01:41 16:52 17:33 18:03-54 –:– 00:15 01:30 17:05 17:44 18:12-56 –:– 00:00 01:18 17:20 17:57 18:22-58 23:43 –:– 01:03 17:38 18:12 18:33-60 23:21 –:– 00:46 17:60 18:29 18:46

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower8 10:50 10:42 12:10 08:09 20:38 25(24%)9 10:35 10:27 12:10 09:06 21:33 26(16%)10 10:20 10:12 12:10 09:59 22:25 27(9%)

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March 11, 12 ,13 (Thu., Fri., Sat.)Aries Venus Mars Jupiter Saturn

Thu GHA GHA Dec GHA Dec GHA Dec GHA Dec0 168◦52.5 180◦27.7 -6◦32.0 107◦10.2 22◦23.1 207◦24.3 -15◦44.5 216◦48.1 -18◦20.11 183◦54.9 195◦27.2 -6◦30.8 122◦11.1 22◦23.3 222◦26.2 -15◦44.4 231◦50.3 -18◦20.02 198◦57.4 210◦26.8 -6◦29.5 137◦12.0 22◦23.6 237◦28.1 -15◦44.2 246◦52.5 -18◦19.93 213◦59.9 225◦26.4 -6◦28.3 152◦12.9 22◦23.9 252◦30.0 -15◦44.0 261◦54.7 -18◦19.94 229◦02.3 240◦25.9 -6◦27.1 167◦13.8 22◦24.2 267◦32.0 -15◦43.9 276◦56.9 -18◦19.85 244◦04.8 255◦25.5 -6◦25.9 182◦14.8 22◦24.5 282◦33.9 -15◦43.7 291◦59.1 -18◦19.76 259◦07.3 270◦25.1 -6◦24.7 197◦15.7 22◦24.7 297◦35.8 -15◦43.5 307◦01.3 -18◦19.77 274◦09.7 285◦24.7 -6◦23.5 212◦16.6 22◦25.0 312◦37.7 -15◦43.4 322◦03.5 -18◦19.68 289◦12.2 300◦24.2 -6◦22.3 227◦17.5 22◦25.3 327◦39.6 -15◦43.2 337◦05.8 -18◦19.69 304◦14.6 315◦23.8 -6◦21.1 242◦18.4 22◦25.6 342◦41.6 -15◦43.0 352◦08.0 -18◦19.510 319◦17.1 330◦23.4 -6◦19.9 257◦19.3 22◦25.9 357◦43.5 -15◦42.9 7◦10.2 -18◦19.411 334◦19.6 345◦23.0 -6◦18.7 272◦20.2 22◦26.1 12◦45.4 -15◦42.7 22◦12.4 -18◦19.412 349◦22.0 0◦22.5 -6◦17.4 287◦21.1 22◦26.4 27◦47.3 -15◦42.5 37◦14.6 -18◦19.313 4◦24.5 15◦22.1 -6◦16.2 302◦22.0 22◦26.7 42◦49.3 -15◦42.4 52◦16.8 -18◦19.314 19◦27.0 30◦21.7 -6◦15.0 317◦22.9 22◦27.0 57◦51.2 -15◦42.2 67◦19.0 -18◦19.215 34◦29.4 45◦21.3 -6◦13.8 332◦23.8 22◦27.3 72◦53.1 -15◦42.0 82◦21.2 -18◦19.116 49◦31.9 60◦20.8 -6◦12.6 347◦24.7 22◦27.5 87◦55.0 -15◦41.9 97◦23.5 -18◦19.117 64◦34.4 75◦20.4 -6◦11.4 2◦25.6 22◦27.8 102◦56.9 -15◦41.7 112◦25.7 -18◦19.018 79◦36.8 90◦20.0 -6◦10.2 17◦26.6 22◦28.1 117◦58.9 -15◦41.5 127◦27.9 -18◦18.919 94◦39.3 105◦19.6 -6◦08.9 32◦27.5 22◦28.4 133◦00.8 -15◦41.4 142◦30.1 -18◦18.920 109◦41.7 120◦19.1 -6◦07.7 47◦28.4 22◦28.6 148◦02.7 -15◦41.2 157◦32.3 -18◦18.821 124◦44.2 135◦18.7 -6◦06.5 62◦29.3 22◦28.9 163◦04.6 -15◦41.1 172◦34.5 -18◦18.822 139◦46.7 150◦18.3 -6◦05.3 77◦30.2 22◦29.2 178◦06.5 -15◦40.9 187◦36.7 -18◦18.723 154◦49.1 165◦17.9 -6◦04.1 92◦31.1 22◦29.5 193◦08.5 -15◦40.7 202◦38.9 -18◦18.6Mer.pass.:12:42 v-0.4 d1.2 m-3.8 v0.9 d0.3 m1.1 v1.9 d0.2 m-1.8 v2.2 d0.1 m0.7

Fri GHA GHA Dec GHA Dec GHA Dec GHA Dec0 169◦51.6 180◦17.4 -6◦02.9 107◦32.0 22◦29.7 208◦10.4 -15◦40.6 217◦41.2 -18◦18.61 184◦54.1 195◦17.0 -6◦01.7 122◦32.9 22◦30.0 223◦12.3 -15◦40.4 232◦43.4 -18◦18.52 199◦56.5 210◦16.6 -6◦00.4 137◦33.8 22◦30.3 238◦14.2 -15◦40.2 247◦45.6 -18◦18.53 214◦59.0 225◦16.2 -5◦59.2 152◦34.7 22◦30.6 253◦16.2 -15◦40.1 262◦47.8 -18◦18.44 230◦01.5 240◦15.8 -5◦58.0 167◦35.6 22◦30.8 268◦18.1 -15◦39.9 277◦50.0 -18◦18.35 245◦03.9 255◦15.3 -5◦56.8 182◦36.5 22◦31.1 283◦20.0 -15◦39.7 292◦52.2 -18◦18.36 260◦06.4 270◦14.9 -5◦55.6 197◦37.4 22◦31.4 298◦21.9 -15◦39.6 307◦54.4 -18◦18.27 275◦08.9 285◦14.5 -5◦54.4 212◦38.3 22◦31.7 313◦23.9 -15◦39.4 322◦56.6 -18◦18.18 290◦11.3 300◦14.1 -5◦53.1 227◦39.2 22◦31.9 328◦25.8 -15◦39.2 337◦58.9 -18◦18.19 305◦13.8 315◦13.6 -5◦51.9 242◦40.1 22◦32.2 343◦27.7 -15◦39.1 353◦01.1 -18◦18.010 320◦16.2 330◦13.2 -5◦50.7 257◦41.0 22◦32.5 358◦29.6 -15◦38.9 8◦03.3 -18◦18.011 335◦18.7 345◦12.8 -5◦49.5 272◦41.9 22◦32.8 13◦31.5 -15◦38.7 23◦05.5 -18◦17.912 350◦21.2 0◦12.4 -5◦48.3 287◦42.8 22◦33.0 28◦33.5 -15◦38.6 38◦07.7 -18◦17.813 5◦23.6 15◦12.0 -5◦47.0 302◦43.7 22◦33.3 43◦35.4 -15◦38.4 53◦09.9 -18◦17.814 20◦26.1 30◦11.6 -5◦45.8 317◦44.6 22◦33.6 58◦37.3 -15◦38.2 68◦12.1 -18◦17.715 35◦28.6 45◦11.1 -5◦44.6 332◦45.6 22◦33.8 73◦39.2 -15◦38.1 83◦14.4 -18◦17.716 50◦31.0 60◦10.7 -5◦43.4 347◦46.5 22◦34.1 88◦41.2 -15◦37.9 98◦16.6 -18◦17.617 65◦33.5 75◦10.3 -5◦42.2 2◦47.4 22◦34.4 103◦43.1 -15◦37.7 113◦18.8 -18◦17.518 80◦36.0 90◦09.9 -5◦40.9 17◦48.3 22◦34.7 118◦45.0 -15◦37.6 128◦21.0 -18◦17.519 95◦38.4 105◦09.5 -5◦39.7 32◦49.2 22◦34.9 133◦46.9 -15◦37.4 143◦23.2 -18◦17.420 110◦40.9 120◦09.0 -5◦38.5 47◦50.1 22◦35.2 148◦48.9 -15◦37.3 158◦25.4 -18◦17.321 125◦43.3 135◦08.6 -5◦37.3 62◦51.0 22◦35.5 163◦50.8 -15◦37.1 173◦27.6 -18◦17.322 140◦45.8 150◦08.2 -5◦36.1 77◦51.9 22◦35.7 178◦52.7 -15◦36.9 188◦29.9 -18◦17.223 155◦48.3 165◦07.8 -5◦34.8 92◦52.8 22◦36.0 193◦54.6 -15◦36.8 203◦32.1 -18◦17.2Mer.pass.:12:38 v-0.4 d1.2 m-3.8 v0.9 d0.3 m1.1 v1.9 d0.2 m-1.9 v2.2 d0.1 m0.7

Sat GHA GHA Dec GHA Dec GHA Dec GHA Dec0 170◦50.7 180◦07.4 -5◦33.6 107◦53.7 22◦36.3 208◦56.6 -15◦36.6 218◦34.3 -18◦17.11 185◦53.2 195◦07.0 -5◦32.4 122◦54.6 22◦36.5 223◦58.5 -15◦36.4 233◦36.5 -18◦17.02 200◦55.7 210◦06.5 -5◦31.2 137◦55.5 22◦36.8 239◦00.4 -15◦36.3 248◦38.7 -18◦17.03 215◦58.1 225◦06.1 -5◦29.9 152◦56.4 22◦37.1 254◦02.3 -15◦36.1 263◦40.9 -18◦16.94 231◦00.6 240◦05.7 -5◦28.7 167◦57.3 22◦37.4 269◦04.3 -15◦35.9 278◦43.2 -18◦16.95 246◦03.1 255◦05.3 -5◦27.5 182◦58.2 22◦37.6 284◦06.2 -15◦35.8 293◦45.4 -18◦16.86 261◦05.5 270◦04.9 -5◦26.3 197◦59.1 22◦37.9 299◦08.1 -15◦35.6 308◦47.6 -18◦16.77 276◦08.0 285◦04.5 -5◦25.0 212◦60.0 22◦38.2 314◦10.0 -15◦35.4 323◦49.8 -18◦16.78 291◦10.5 300◦04.0 -5◦23.8 228◦00.9 22◦38.4 329◦12.0 -15◦35.3 338◦52.0 -18◦16.69 306◦12.9 315◦03.6 -5◦22.6 243◦01.8 22◦38.7 344◦13.9 -15◦35.1 353◦54.2 -18◦16.610 321◦15.4 330◦03.2 -5◦21.4 258◦02.7 22◦39.0 359◦15.8 -15◦34.9 8◦56.4 -18◦16.511 336◦17.8 345◦02.8 -5◦20.2 273◦03.6 22◦39.2 14◦17.7 -15◦34.8 23◦58.7 -18◦16.412 351◦20.3 0◦02.4 -5◦18.9 288◦04.5 22◦39.5 29◦19.7 -15◦34.6 39◦00.9 -18◦16.413 6◦22.8 15◦02.0 -5◦17.7 303◦05.4 22◦39.8 44◦21.6 -15◦34.4 54◦03.1 -18◦16.314 21◦25.2 30◦01.6 -5◦16.5 318◦06.3 22◦40.0 59◦23.5 -15◦34.3 69◦05.3 -18◦16.215 36◦27.7 45◦01.1 -5◦15.2 333◦07.2 22◦40.3 74◦25.4 -15◦34.1 84◦07.5 -18◦16.216 51◦30.2 60◦00.7 -5◦14.0 348◦08.1 22◦40.6 89◦27.4 -15◦34.0 99◦09.7 -18◦16.117 66◦32.6 75◦00.3 -5◦12.8 3◦09.0 22◦40.8 104◦29.3 -15◦33.8 114◦12.0 -18◦16.118 81◦35.1 89◦59.9 -5◦11.6 18◦09.9 22◦41.1 119◦31.2 -15◦33.6 129◦14.2 -18◦16.019 96◦37.6 104◦59.5 -5◦10.3 33◦10.7 22◦41.4 134◦33.2 -15◦33.5 144◦16.4 -18◦15.920 111◦40.0 119◦59.1 -5◦09.1 48◦11.6 22◦41.6 149◦35.1 -15◦33.3 159◦18.6 -18◦15.921 126◦42.5 134◦58.7 -5◦07.9 63◦12.5 22◦41.9 164◦37.0 -15◦33.1 174◦20.8 -18◦15.822 141◦44.9 149◦58.3 -5◦06.7 78◦13.4 22◦42.2 179◦38.9 -15◦33.0 189◦23.0 -18◦15.823 156◦47.4 164◦57.9 -5◦05.4 93◦14.3 22◦42.4 194◦40.9 -15◦32.8 204◦25.3 -18◦15.7Mer.pass.:12:34 v-0.4 d1.2 m-3.8 v0.9 d0.3 m1.1 v1.9 d0.2 m-1.9 v2.2 d0.1 m0.7

StarsSHA Dec

Alpheratz 357◦38.3 29◦12.3Ankaa 353◦10.7 -42◦11.7

Schedar 349◦35.0 56◦39.1Diphda 348◦50.6 -17◦52.5

Achernar 335◦23.1 -57◦08.1Hamal 327◦55.0 23◦33.6Polaris 315◦44.0 89◦21.4Akamar 315◦14.4 -40◦13.5Menkar 314◦09.6 4◦10.2Mirfak 308◦32.9 49◦56.2

Aldebaran 290◦43.3 16◦33.0Rigel 281◦06.9 -8◦10.9

Capella 280◦26.5 46◦01.3Bellatrix 278◦26.2 6◦22.0Elnath 278◦05.8 28◦37.5Alnilam 275◦40.9 -1◦11.5

Betelgeuse 270◦55.4 7◦24.5Canopus 263◦53.6 -52◦42.7

Sirius 258◦28.8 -16◦44.8Adara 255◦08.1 -29◦00.3

Procyon 244◦53.8 5◦10.3Pollux 243◦20.8 27◦58.5Avior 234◦15.5 -59◦34.8Suhail 222◦48.2 -43◦31.2

Miaplacidus 221◦38.0 -69◦48.4Alphard 217◦50.5 -8◦45.1Regulus 207◦37.4 11◦51.8Dubhe 193◦44.2 61◦38.2

Denebola 182◦27.7 14◦27.2Gienah 175◦46.4 -17◦39.6Acrux 173◦02.8 -63◦12.9

Gacrux 171◦54.5 -57◦13.8Alioth 166◦15.3 55◦50.6Spica 158◦25.3 -11◦16.3Alcaid 152◦54.1 49◦12.3Hadar 148◦39.9 -60◦28.3

Menkent 148◦01.0 -36◦28.3Arcturus 145◦50.4 19◦04.5

Rigil Kent. 139◦44.1 -60◦55.1Zubenelg. 136◦59.3 -16◦07.7Kochab 137◦19.2 74◦03.9

Alphecca 126◦06.3 26◦38.5Antares 112◦19.6 -26◦28.6

Atria 107◦16.5 -69◦03.6Sabik 102◦06.3 -15◦45.0

Shaula 96◦14.6 -37◦07.0Rasalhague 96◦01.5 12◦32.6

Etamin 90◦43.7 51◦28.9Kaus Aust. 83◦36.7 -34◦22.3

Vega 80◦35.5 38◦47.9Nunki 75◦51.8 -26◦16.2Altair 62◦03.3 8◦55.2

Peacock 53◦11.1 -56◦39.9Deneb 49◦28.2 45◦21.1

Enif 33◦42.1 9◦58.1Alnair 27◦37.3 -46◦51.6

Fomalhaut 15◦18.4 -29◦30.8Scheat 13◦48.6 28◦11.6Markab 13◦33.3 15◦18.9

2021/3/1 SHA Mer.passVenus 11◦35.2 11:58Mars 298◦17.7 16:50

Jupiter 38◦31.8 10:09Saturn 47◦55.6 09:31

2021/3/1 SHA Mer.passVenus 10◦25.8 11:59Mars 297◦40.4 16:49

Jupiter 38◦18.8 10:06Saturn 47◦49.5 09:28

2021/3/1 SHA Mer.passVenus 9◦16.6 11:60Mars 297◦02.9 16:47

Jupiter 38◦05.8 10:03Saturn 47◦43.5 09:24

Horizontal paralaxVenus: 0.1Mars: 0.1

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2021 March 11 to Mar. 13

h Sun MoonThu GHA Dec GHA ν Dec d HP0 177◦28.9 -3◦42.7 202◦52.3 10.9 -18◦30.7 9.7 56.51 192◦29.1 -3◦41.7 217◦22.2 11.0 -18◦21.0 9.8 56.52 207◦29.2 -3◦40.8 231◦52.2 11.1 -18◦11.2 9.8 56.43 222◦29.4 -3◦39.8 246◦22.3 11.1 -18◦01.3 9.9 56.44 237◦29.5 -3◦38.8 260◦52.5 11.2 -17◦51.4 10.0 56.45 252◦29.7 -3◦37.8 275◦22.7 11.3 -17◦41.3 10.1 56.46 267◦29.9 -3◦36.8 289◦53.1 11.4 -17◦31.2 10.2 56.47 282◦30.0 -3◦35.9 304◦23.5 11.5 -17◦21.0 10.2 56.38 297◦30.2 -3◦34.9 318◦54.0 11.5 -17◦10.7 10.3 56.39 312◦30.4 -3◦33.9 333◦24.6 11.6 -17◦00.4 10.4 56.310 327◦30.5 -3◦32.9 347◦55.2 11.7 -16◦49.9 10.5 56.311 342◦30.7 -3◦31.9 2◦26.0 11.8 -16◦39.4 10.5 56.312 357◦30.9 -3◦30.9 16◦56.8 11.9 -16◦28.8 10.6 56.213 12◦31.0 -3◦30.0 31◦27.7 11.9 -16◦18.2 10.7 56.214 27◦31.2 -3◦29.0 45◦58.7 12.0 -16◦07.4 10.8 56.215 42◦31.4 -3◦28.0 60◦29.7 12.1 -15◦56.6 10.8 56.216 57◦31.5 -3◦27.0 75◦00.8 12.2 -15◦45.8 10.9 56.217 72◦31.7 -3◦26.0 89◦32.0 12.2 -15◦34.8 11.0 56.118 87◦31.8 -3◦25.0 104◦03.3 12.3 -15◦23.8 11.0 56.119 102◦32.0 -3◦24.1 118◦34.7 12.4 -15◦12.8 11.1 56.120 117◦32.2 -3◦23.1 133◦06.1 12.5 -15◦01.6 11.2 56.121 132◦32.3 -3◦22.1 147◦37.6 12.5 -14◦50.4 11.2 56.122 147◦32.5 -3◦21.1 162◦09.2 12.6 -14◦39.2 11.3 56.023 162◦32.7 -3◦20.1 176◦40.9 12.7 -14◦27.9 11.3 56.0

SD.=16.1 d=1.0 S.D.=15.4

Fri GHA Dec GHA ν Dec d HP0 177◦32.8 -3◦19.1 191◦12.6 12.8 -14◦16.5 11.4 56.01 192◦33.0 -3◦18.2 205◦44.4 12.8 -14◦05.1 11.5 56.02 207◦33.2 -3◦17.2 220◦16.3 12.9 -13◦53.6 11.5 56.03 222◦33.3 -3◦16.2 234◦48.2 13.0 -13◦42.0 11.6 55.94 237◦33.5 -3◦15.2 249◦20.2 13.0 -13◦30.4 11.6 55.95 252◦33.7 -3◦14.2 263◦52.3 13.1 -13◦18.8 11.7 55.96 267◦33.8 -3◦13.2 278◦24.4 13.2 -13◦07.1 11.7 55.97 282◦34.0 -3◦12.2 292◦56.7 13.3 -12◦55.3 11.8 55.98 297◦34.2 -3◦11.3 307◦29.0 13.3 -12◦43.5 11.8 55.89 312◦34.3 -3◦10.3 322◦01.3 13.4 -12◦31.6 11.9 55.810 327◦34.5 -3◦09.3 336◦33.7 13.5 -12◦19.7 11.9 55.811 342◦34.7 -3◦08.3 351◦06.2 13.5 -12◦07.7 12.0 55.812 357◦34.8 -3◦07.3 5◦38.8 13.6 -11◦55.7 12.0 55.813 12◦35.0 -3◦06.3 20◦11.4 13.6 -11◦43.7 12.1 55.814 27◦35.2 -3◦05.4 34◦44.1 13.7 -11◦31.6 12.1 55.715 42◦35.3 -3◦04.4 49◦16.8 13.8 -11◦19.5 12.2 55.716 57◦35.5 -3◦03.4 63◦49.6 13.8 -11◦07.3 12.2 55.717 72◦35.7 -3◦02.4 78◦22.5 13.9 -10◦55.1 12.2 55.718 87◦35.8 -3◦01.4 92◦55.4 14.0 -10◦42.8 12.3 55.719 102◦36.0 -3◦00.4 107◦28.4 14.0 -10◦30.5 12.3 55.620 117◦36.2 -2◦59.4 122◦01.4 14.1 -10◦18.2 12.4 55.621 132◦36.4 -2◦58.5 136◦34.5 14.1 -10◦05.8 12.4 55.622 147◦36.5 -2◦57.5 151◦07.7 14.2 -9◦53.4 12.4 55.623 162◦36.7 -2◦56.5 165◦40.9 14.2 -9◦41.0 12.5 55.6

SD.=16.1 d=1.0 S.D.=15.3

Sat GHA Dec GHA ν Dec d HP0 177◦36.9 -2◦55.5 180◦14.2 14.3 -9◦28.5 12.5 55.51 192◦37.0 -2◦54.5 194◦47.5 14.4 -9◦16.0 12.5 55.52 207◦37.2 -2◦53.5 209◦20.9 14.4 -9◦03.5 12.6 55.53 222◦37.4 -2◦52.5 223◦54.3 14.5 -8◦50.9 12.6 55.54 237◦37.5 -2◦51.6 238◦27.8 14.5 -8◦38.3 12.6 55.55 252◦37.7 -2◦50.6 253◦01.3 14.6 -8◦25.7 12.6 55.56 267◦37.9 -2◦49.6 267◦34.9 14.6 -8◦13.0 12.7 55.47 282◦38.0 -2◦48.6 282◦08.5 14.7 -8◦00.3 12.7 55.48 297◦38.2 -2◦47.6 296◦42.2 14.7 -7◦47.6 12.7 55.49 312◦38.4 -2◦46.6 311◦15.9 14.8 -7◦34.9 12.7 55.410 327◦38.6 -2◦45.6 325◦49.7 14.8 -7◦22.2 12.8 55.411 342◦38.7 -2◦44.7 340◦23.6 14.8 -7◦09.4 12.8 55.312 357◦38.9 -2◦43.7 354◦57.4 14.9 -6◦56.6 12.8 55.313 12◦39.1 -2◦42.7 9◦31.3 14.9 -6◦43.8 12.8 55.314 27◦39.2 -2◦41.7 24◦05.3 15.0 -6◦30.9 12.8 55.315 42◦39.4 -2◦40.7 38◦39.3 15.0 -6◦18.1 12.9 55.316 57◦39.6 -2◦39.7 53◦13.3 15.1 -6◦05.2 12.9 55.317 72◦39.7 -2◦38.7 67◦47.4 15.1 -5◦52.3 12.9 55.218 87◦39.9 -2◦37.8 82◦21.6 15.1 -5◦39.4 12.9 55.219 102◦40.1 -2◦36.8 96◦55.7 15.2 -5◦26.5 12.9 55.220 117◦40.3 -2◦35.8 111◦29.9 15.2 -5◦13.6 12.9 55.221 132◦40.4 -2◦34.8 126◦04.2 15.3 -5◦00.6 13.0 55.222 147◦40.6 -2◦33.8 140◦38.5 15.3 -4◦47.6 13.0 55.123 162◦40.8 -2◦32.8 155◦12.8 15.3 -4◦34.7 13.0 55.1

SD.=16.1 d=1.0 S.D.=15.2

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 04:10 05:32 06:39 17:43 18:50 20:1370 04:22 05:35 06:35 17:46 18:47 20:0068 04:32 05:38 06:33 17:48 18:44 19:5166 04:39 05:40 06:30 17:51 18:42 19:4264 04:46 05:41 06:29 17:52 18:40 19:3662 04:51 05:43 06:27 17:54 18:38 19:3060 04:55 05:44 06:25 17:55 18:37 19:2658 04:59 05:45 06:24 17:57 18:36 19:2256 05:03 05:46 06:23 17:58 18:35 19:1854 05:06 05:47 06:22 17:59 18:34 19:1552 05:08 05:47 06:21 17:60 18:33 19:1250 05:10 05:48 06:20 18:00 18:33 19:1045 05:15 05:49 06:18 18:02 18:31 19:0640 05:18 05:49 06:16 18:04 18:31 19:0235 05:20 05:49 06:15 18:05 18:30 18:6030 05:22 05:49 06:13 18:06 18:30 18:5820 05:23 05:49 06:11 18:09 18:31 18:5610 05:23 05:48 06:09 18:11 18:32 18:560 05:22 05:46 06:06 18:13 18:34 18:58-10 05:19 05:43 06:04 18:15 18:36 19:01-20 05:14 05:39 06:02 18:18 18:40 19:05-30 05:06 05:34 05:58 18:20 18:44 19:12-35 05:01 05:31 05:57 18:22 18:47 19:17-40 04:55 05:27 05:55 18:24 18:51 19:23-45 04:48 05:23 05:52 18:26 18:56 19:31-50 04:38 05:17 05:49 18:29 19:02 19:40-52 04:33 05:14 05:48 18:31 19:04 19:45-54 04:27 05:10 05:46 18:32 19:08 19:50-56 04:21 05:07 05:45 18:34 19:11 19:56-58 04:14 05:03 05:43 18:35 19:15 20:03-60 04:06 04:58 05:41 18:37 19:19 20:11

Moonrise MoonsetLat. Thu Fri Sat Thu Fri Sat72 09:30 08:27 07:54 12:30 15:10 17:1570 08:38 08:05 07:43 13:20 15:30 17:2468 08:06 07:48 07:34 13:51 15:46 17:3166 07:42 07:33 07:26 14:14 15:59 17:3764 07:23 07:22 07:19 14:31 16:09 17:4262 07:08 07:12 07:14 14:46 16:18 17:4660 06:55 07:03 07:09 14:58 16:26 17:5058 06:43 06:55 07:04 15:09 16:32 17:5356 06:33 06:49 07:00 15:18 16:38 17:5654 06:25 06:42 06:57 15:26 16:43 17:5852 06:17 06:37 06:54 15:33 16:48 18:0150 06:10 06:32 06:51 15:40 16:52 18:0345 05:55 06:21 06:44 15:53 17:01 18:0840 05:42 06:12 06:39 16:05 17:09 18:1135 05:31 06:05 06:34 16:14 17:16 18:1530 05:22 05:58 06:30 16:23 17:21 18:1820 05:06 05:46 06:23 16:37 17:31 18:2310 04:52 05:36 06:16 16:50 17:40 18:270 04:38 05:26 06:10 17:01 17:47 18:31-10 04:25 05:16 06:04 17:13 17:55 18:35-20 04:10 05:05 05:58 17:25 18:04 18:39-30 03:54 04:53 05:51 17:39 18:13 18:44-35 03:44 04:46 05:46 17:47 18:19 18:47-40 03:33 04:38 05:42 17:57 18:25 18:50-45 03:20 04:29 05:36 18:07 18:32 18:53-50 03:04 04:18 05:29 18:20 18:40 18:58-52 02:57 04:12 05:26 18:26 18:44 18:60-54 02:48 04:07 05:23 18:32 18:48 19:02-56 02:39 04:00 05:19 18:40 18:53 19:04-58 02:28 03:53 05:15 18:48 18:58 19:07-60 02:16 03:44 05:10 18:57 19:04 19:09

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower11 10:04 09:56 12:09 10:49 23:13 28(4%)12 09:49 09:41 12:09 11:36 23:59 29(1%)13 09:32 09:24 12:09 12:20 00:42 0(0%)

49

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March 14, 15 ,16 (Sun., Mon., Tue.)Aries Venus Mars Jupiter Saturn

Sun GHA GHA Dec GHA Dec GHA Dec GHA Dec0 171◦49.9 179◦57.4 -5◦04.2 108◦15.2 22◦42.7 209◦42.8 -15◦32.6 219◦27.5 -18◦15.61 186◦52.3 194◦57.0 -5◦03.0 123◦16.1 22◦42.9 224◦44.7 -15◦32.5 234◦29.7 -18◦15.62 201◦54.8 209◦56.6 -5◦01.7 138◦17.0 22◦43.2 239◦46.6 -15◦32.3 249◦31.9 -18◦15.53 216◦57.3 224◦56.2 -5◦00.5 153◦17.9 22◦43.5 254◦48.6 -15◦32.1 264◦34.1 -18◦15.54 231◦59.7 239◦55.8 -4◦59.3 168◦18.8 22◦43.7 269◦50.5 -15◦32.0 279◦36.4 -18◦15.45 247◦02.2 254◦55.4 -4◦58.1 183◦19.7 22◦44.0 284◦52.4 -15◦31.8 294◦38.6 -18◦15.36 262◦04.7 269◦55.0 -4◦56.8 198◦20.6 22◦44.3 299◦54.4 -15◦31.6 309◦40.8 -18◦15.37 277◦07.1 284◦54.6 -4◦55.6 213◦21.5 22◦44.5 314◦56.3 -15◦31.5 324◦43.0 -18◦15.28 292◦09.6 299◦54.2 -4◦54.4 228◦22.4 22◦44.8 329◦58.2 -15◦31.3 339◦45.2 -18◦15.29 307◦12.1 314◦53.7 -4◦53.1 243◦23.3 22◦45.0 345◦00.1 -15◦31.2 354◦47.4 -18◦15.110 322◦14.5 329◦53.3 -4◦51.9 258◦24.2 22◦45.3 0◦02.1 -15◦31.0 9◦49.7 -18◦15.011 337◦17.0 344◦52.9 -4◦50.7 273◦25.1 22◦45.6 15◦04.0 -15◦30.8 24◦51.9 -18◦15.012 352◦19.4 359◦52.5 -4◦49.4 288◦26.0 22◦45.8 30◦05.9 -15◦30.7 39◦54.1 -18◦14.913 7◦21.9 14◦52.1 -4◦48.2 303◦26.9 22◦46.1 45◦07.9 -15◦30.5 54◦56.3 -18◦14.914 22◦24.4 29◦51.7 -4◦47.0 318◦27.8 22◦46.4 60◦09.8 -15◦30.3 69◦58.5 -18◦14.815 37◦26.8 44◦51.3 -4◦45.8 333◦28.7 22◦46.6 75◦11.7 -15◦30.2 85◦00.8 -18◦14.716 52◦29.3 59◦50.9 -4◦44.5 348◦29.6 22◦46.9 90◦13.6 -15◦30.0 100◦03.0 -18◦14.717 67◦31.8 74◦50.5 -4◦43.3 3◦30.4 22◦47.1 105◦15.6 -15◦29.8 115◦05.2 -18◦14.618 82◦34.2 89◦50.1 -4◦42.1 18◦31.3 22◦47.4 120◦17.5 -15◦29.7 130◦07.4 -18◦14.619 97◦36.7 104◦49.7 -4◦40.8 33◦32.2 22◦47.7 135◦19.4 -15◦29.5 145◦09.6 -18◦14.520 112◦39.2 119◦49.3 -4◦39.6 48◦33.1 22◦47.9 150◦21.4 -15◦29.3 160◦11.9 -18◦14.421 127◦41.6 134◦48.9 -4◦38.4 63◦34.0 22◦48.2 165◦23.3 -15◦29.2 175◦14.1 -18◦14.422 142◦44.1 149◦48.4 -4◦37.1 78◦34.9 22◦48.4 180◦25.2 -15◦29.0 190◦16.3 -18◦14.323 157◦46.5 164◦48.0 -4◦35.9 93◦35.8 22◦48.7 195◦27.2 -15◦28.8 205◦18.5 -18◦14.2Mer.pass.:12:30 v-0.4 d1.2 m-3.8 v0.9 d0.3 m1.1 v1.9 d0.2 m-1.9 v2.2 d0.1 m0.8

Mon GHA GHA Dec GHA Dec GHA Dec GHA Dec0 172◦49.0 179◦47.6 -4◦34.7 108◦36.7 22◦49.0 210◦29.1 -15◦28.7 220◦20.7 -18◦14.21 187◦51.5 194◦47.2 -4◦33.4 123◦37.6 22◦49.2 225◦31.0 -15◦28.5 235◦22.9 -18◦14.12 202◦53.9 209◦46.8 -4◦32.2 138◦38.5 22◦49.5 240◦33.0 -15◦28.4 250◦25.2 -18◦14.13 217◦56.4 224◦46.4 -4◦31.0 153◦39.4 22◦49.7 255◦34.9 -15◦28.2 265◦27.4 -18◦14.04 232◦58.9 239◦46.0 -4◦29.7 168◦40.3 22◦50.0 270◦36.8 -15◦28.0 280◦29.6 -18◦13.95 248◦01.3 254◦45.6 -4◦28.5 183◦41.2 22◦50.2 285◦38.7 -15◦27.9 295◦31.8 -18◦13.96 263◦03.8 269◦45.2 -4◦27.3 198◦42.0 22◦50.5 300◦40.7 -15◦27.7 310◦34.1 -18◦13.87 278◦06.3 284◦44.8 -4◦26.0 213◦42.9 22◦50.8 315◦42.6 -15◦27.5 325◦36.3 -18◦13.88 293◦08.7 299◦44.4 -4◦24.8 228◦43.8 22◦51.0 330◦44.5 -15◦27.4 340◦38.5 -18◦13.79 308◦11.2 314◦44.0 -4◦23.5 243◦44.7 22◦51.3 345◦46.5 -15◦27.2 355◦40.7 -18◦13.610 323◦13.7 329◦43.6 -4◦22.3 258◦45.6 22◦51.5 0◦48.4 -15◦27.0 10◦42.9 -18◦13.611 338◦16.1 344◦43.2 -4◦21.1 273◦46.5 22◦51.8 15◦50.3 -15◦26.9 25◦45.2 -18◦13.512 353◦18.6 359◦42.8 -4◦19.8 288◦47.4 22◦52.0 30◦52.3 -15◦26.7 40◦47.4 -18◦13.513 8◦21.0 14◦42.4 -4◦18.6 303◦48.3 22◦52.3 45◦54.2 -15◦26.5 55◦49.6 -18◦13.414 23◦23.5 29◦42.0 -4◦17.4 318◦49.2 22◦52.5 60◦56.1 -15◦26.4 70◦51.8 -18◦13.415 38◦26.0 44◦41.6 -4◦16.1 333◦50.1 22◦52.8 75◦58.1 -15◦26.2 85◦54.0 -18◦13.316 53◦28.4 59◦41.2 -4◦14.9 348◦50.9 22◦53.1 90◦60.0 -15◦26.1 100◦56.3 -18◦13.217 68◦30.9 74◦40.8 -4◦13.7 3◦51.8 22◦53.3 106◦01.9 -15◦25.9 115◦58.5 -18◦13.218 83◦33.4 89◦40.4 -4◦12.4 18◦52.7 22◦53.6 121◦03.9 -15◦25.7 131◦00.7 -18◦13.119 98◦35.8 104◦40.0 -4◦11.2 33◦53.6 22◦53.8 136◦05.8 -15◦25.6 146◦02.9 -18◦13.120 113◦38.3 119◦39.6 -4◦09.9 48◦54.5 22◦54.1 151◦07.7 -15◦25.4 161◦05.1 -18◦13.021 128◦40.8 134◦39.2 -4◦08.7 63◦55.4 22◦54.3 166◦09.7 -15◦25.2 176◦07.4 -18◦12.922 143◦43.2 149◦38.8 -4◦07.5 78◦56.3 22◦54.6 181◦11.6 -15◦25.1 191◦09.6 -18◦12.923 158◦45.7 164◦38.4 -4◦06.2 93◦57.2 22◦54.8 196◦13.5 -15◦24.9 206◦11.8 -18◦12.8Mer.pass.:12:26 v-0.4 d1.2 m-3.8 v0.9 d0.3 m1.1 v1.9 d0.2 m-1.9 v2.2 d0.1 m0.8

Tue GHA GHA Dec GHA Dec GHA Dec GHA Dec0 173◦48.2 179◦38.0 -4◦05.0 108◦58.1 22◦55.1 211◦15.5 -15◦24.7 221◦14.0 -18◦12.81 188◦50.6 194◦37.6 -4◦03.7 123◦58.9 22◦55.3 226◦17.4 -15◦24.6 236◦16.3 -18◦12.72 203◦53.1 209◦37.2 -4◦02.5 138◦59.8 22◦55.6 241◦19.3 -15◦24.4 251◦18.5 -18◦12.63 218◦55.5 224◦36.7 -4◦01.3 154◦00.7 22◦55.8 256◦21.3 -15◦24.3 266◦20.7 -18◦12.64 233◦58.0 239◦36.3 -4◦00.0 169◦01.6 22◦56.1 271◦23.2 -15◦24.1 281◦22.9 -18◦12.55 249◦00.5 254◦35.9 -3◦58.8 184◦02.5 22◦56.3 286◦25.1 -15◦23.9 296◦25.1 -18◦12.56 264◦02.9 269◦35.5 -3◦57.6 199◦03.4 22◦56.6 301◦27.1 -15◦23.8 311◦27.4 -18◦12.47 279◦05.4 284◦35.1 -3◦56.3 214◦04.3 22◦56.8 316◦29.0 -15◦23.6 326◦29.6 -18◦12.38 294◦07.9 299◦34.7 -3◦55.1 229◦05.1 22◦57.1 331◦30.9 -15◦23.4 341◦31.8 -18◦12.39 309◦10.3 314◦34.3 -3◦53.8 244◦06.0 22◦57.3 346◦32.9 -15◦23.3 356◦34.0 -18◦12.210 324◦12.8 329◦33.9 -3◦52.6 259◦06.9 22◦57.6 1◦34.8 -15◦23.1 11◦36.3 -18◦12.211 339◦15.3 344◦33.6 -3◦51.3 274◦07.8 22◦57.8 16◦36.7 -15◦22.9 26◦38.5 -18◦12.112 354◦17.7 359◦33.2 -3◦50.1 289◦08.7 22◦58.1 31◦38.7 -15◦22.8 41◦40.7 -18◦12.013 9◦20.2 14◦32.8 -3◦48.9 304◦09.6 22◦58.3 46◦40.6 -15◦22.6 56◦42.9 -18◦12.014 24◦22.6 29◦32.4 -3◦47.6 319◦10.5 22◦58.6 61◦42.5 -15◦22.4 71◦45.2 -18◦11.915 39◦25.1 44◦32.0 -3◦46.4 334◦11.3 22◦58.8 76◦44.5 -15◦22.3 86◦47.4 -18◦11.916 54◦27.6 59◦31.6 -3◦45.1 349◦12.2 22◦59.1 91◦46.4 -15◦22.1 101◦49.6 -18◦11.817 69◦30.0 74◦31.2 -3◦43.9 4◦13.1 22◦59.3 106◦48.3 -15◦22.0 116◦51.8 -18◦11.718 84◦32.5 89◦30.8 -3◦42.7 19◦14.0 22◦59.6 121◦50.3 -15◦21.8 131◦54.1 -18◦11.719 99◦35.0 104◦30.4 -3◦41.4 34◦14.9 22◦59.8 136◦52.2 -15◦21.6 146◦56.3 -18◦11.620 114◦37.4 119◦30.0 -3◦40.2 49◦15.8 23◦00.1 151◦54.1 -15◦21.5 161◦58.5 -18◦11.621 129◦39.9 134◦29.6 -3◦38.9 64◦16.7 23◦00.3 166◦56.1 -15◦21.3 177◦00.7 -18◦11.522 144◦42.4 149◦29.2 -3◦37.7 79◦17.5 23◦00.6 181◦58.0 -15◦21.1 192◦03.0 -18◦11.423 159◦44.8 164◦28.8 -3◦36.4 94◦18.4 23◦00.8 196◦59.9 -15◦21.0 207◦05.2 -18◦11.4Mer.pass.:12:22 v-0.4 d1.2 m-3.8 v0.9 d0.3 m1.1 v1.9 d0.2 m-1.9 v2.2 d0.1 m0.8

StarsSHA Dec

Alpheratz 357◦38.3 29◦12.3Ankaa 353◦10.7 -42◦11.7

Schedar 349◦35.1 56◦39.1Diphda 348◦50.6 -17◦52.5

Achernar 335◦23.1 -57◦08.1Hamal 327◦55.0 23◦33.6Polaris 315◦45.3 89◦21.4Akamar 315◦14.4 -40◦13.5Menkar 314◦09.6 4◦10.2Mirfak 308◦32.9 49◦56.2

Aldebaran 290◦43.3 16◦33.0Rigel 281◦06.9 -8◦10.9

Capella 280◦26.5 46◦01.3Bellatrix 278◦26.2 6◦22.0Elnath 278◦05.8 28◦37.5Alnilam 275◦40.9 -1◦11.5

Betelgeuse 270◦55.4 7◦24.5Canopus 263◦53.6 -52◦42.7

Sirius 258◦28.8 -16◦44.8Adara 255◦08.2 -29◦00.3

Procyon 244◦53.8 5◦10.3Pollux 243◦20.8 27◦58.5Avior 234◦15.5 -59◦34.9Suhail 222◦48.2 -43◦31.2

Miaplacidus 221◦38.1 -69◦48.4Alphard 217◦50.5 -8◦45.1Regulus 207◦37.4 11◦51.8Dubhe 193◦44.2 61◦38.3

Denebola 182◦27.7 14◦27.2Gienah 175◦46.4 -17◦39.6Acrux 173◦02.8 -63◦12.9

Gacrux 171◦54.5 -57◦13.8Alioth 166◦15.3 55◦50.6Spica 158◦25.3 -11◦16.3Alcaid 152◦54.1 49◦12.3Hadar 148◦39.9 -60◦28.3

Menkent 148◦01.0 -36◦28.3Arcturus 145◦50.4 19◦04.5

Rigil Kent. 139◦44.1 -60◦55.1Zubenelg. 136◦59.2 -16◦07.7Kochab 137◦19.1 74◦03.9

Alphecca 126◦06.2 26◦38.5Antares 112◦19.5 -26◦28.6

Atria 107◦16.5 -69◦03.6Sabik 102◦06.3 -15◦45.0

Shaula 96◦14.6 -37◦07.0Rasalhague 96◦01.5 12◦32.6

Etamin 90◦43.7 51◦28.8Kaus Aust. 83◦36.7 -34◦22.3

Vega 80◦35.5 38◦47.9Nunki 75◦51.8 -26◦16.2Altair 62◦03.2 8◦55.2

Peacock 53◦11.1 -56◦39.9Deneb 49◦28.2 45◦21.1

Enif 33◦42.1 9◦58.1Alnair 27◦37.3 -46◦51.6

Fomalhaut 15◦18.4 -29◦30.8Scheat 13◦48.6 28◦11.6Markab 13◦33.3 15◦18.9

2021/3/1 SHA Mer.passVenus 8◦07.6 12:00Mars 296◦25.4 16:46

Jupiter 37◦52.9 09:60Saturn 47◦37.6 09:21

2021/3/1 SHA Mer.passVenus 6◦58.6 12:01Mars 295◦47.7 16:45

Jupiter 37◦40.1 09:57Saturn 47◦31.7 09:17

2021/3/1 SHA Mer.passVenus 5◦49.8 12:02Mars 295◦09.9 16:43

Jupiter 37◦27.3 09:54Saturn 47◦25.9 09:14

Horizontal paralaxVenus: 0.1Mars: 0.1

50

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2021 March 14 to Mar. 16

h Sun MoonSun GHA Dec GHA ν Dec d HP0 177◦40.9 -2◦31.8 169◦47.1 15.4 -4◦21.7 13.0 55.11 192◦41.1 -2◦30.8 184◦21.5 15.4 -4◦08.7 13.0 55.12 207◦41.3 -2◦29.9 198◦55.9 15.4 -3◦55.7 13.0 55.13 222◦41.5 -2◦28.9 213◦30.4 15.5 -3◦42.7 13.0 55.14 237◦41.6 -2◦27.9 228◦04.9 15.5 -3◦29.7 13.0 55.05 252◦41.8 -2◦26.9 242◦39.4 15.5 -3◦16.7 13.0 55.06 267◦42.0 -2◦25.9 257◦13.9 15.6 -3◦03.6 13.0 55.07 282◦42.1 -2◦24.9 271◦48.5 15.6 -2◦50.6 13.0 55.08 297◦42.3 -2◦23.9 286◦23.1 15.6 -2◦37.6 13.0 55.09 312◦42.5 -2◦23.0 300◦57.7 15.6 -2◦24.5 13.0 55.010 327◦42.7 -2◦22.0 315◦32.4 15.7 -2◦11.5 13.0 54.911 342◦42.8 -2◦21.0 330◦07.1 15.7 -1◦58.5 13.0 54.912 357◦43.0 -2◦20.0 344◦41.8 15.7 -1◦45.4 13.0 54.913 12◦43.2 -2◦19.0 359◦16.5 15.7 -1◦32.4 13.0 54.914 27◦43.4 -2◦18.0 13◦51.3 15.8 -1◦19.3 13.0 54.915 42◦43.5 -2◦17.0 28◦26.0 15.8 -1◦06.3 13.0 54.916 57◦43.7 -2◦16.0 43◦00.8 15.8 -0◦53.3 13.0 54.917 72◦43.9 -2◦15.1 57◦35.6 15.8 -0◦40.3 13.0 54.818 87◦44.0 -2◦14.1 72◦10.5 15.8 -0◦27.2 13.0 54.819 102◦44.2 -2◦13.1 86◦45.3 15.9 -0◦14.2 13.0 54.820 117◦44.4 -2◦12.1 101◦20.2 15.9 -0◦01.2 13.0 54.821 132◦44.6 -2◦11.1 115◦55.1 15.9 0◦11.8 13.0 54.822 147◦44.7 -2◦10.1 130◦30.0 15.9 0◦24.8 13.0 54.823 162◦44.9 -2◦09.1 145◦04.9 15.9 0◦37.8 13.0 54.7

SD.=16.1 d=1.0 S.D.=15.0

Mon GHA Dec GHA ν Dec d HP0 177◦45.1 -2◦08.1 159◦39.8 15.9 0◦50.7 13.0 54.71 192◦45.3 -2◦07.2 174◦14.8 16.0 1◦03.7 13.0 54.72 207◦45.4 -2◦06.2 188◦49.7 16.0 1◦16.7 12.9 54.73 222◦45.6 -2◦05.2 203◦24.7 16.0 1◦29.6 12.9 54.74 237◦45.8 -2◦04.2 217◦59.7 16.0 1◦42.5 12.9 54.75 252◦46.0 -2◦03.2 232◦34.7 16.0 1◦55.5 12.9 54.76 267◦46.1 -2◦02.2 247◦09.7 16.0 2◦08.4 12.9 54.67 282◦46.3 -2◦01.2 261◦44.7 16.0 2◦21.2 12.9 54.68 297◦46.5 -2◦00.2 276◦19.7 16.0 2◦34.1 12.9 54.69 312◦46.7 -1◦59.2 290◦54.7 16.0 2◦47.0 12.8 54.610 327◦46.8 -1◦58.3 305◦29.7 16.0 2◦59.8 12.8 54.611 342◦47.0 -1◦57.3 320◦04.8 16.0 3◦12.6 12.8 54.612 357◦47.2 -1◦56.3 334◦39.8 16.0 3◦25.4 12.8 54.613 12◦47.4 -1◦55.3 349◦14.8 16.0 3◦38.2 12.8 54.614 27◦47.5 -1◦54.3 3◦49.9 16.0 3◦51.0 12.7 54.515 42◦47.7 -1◦53.3 18◦24.9 16.0 4◦03.7 12.7 54.516 57◦47.9 -1◦52.3 32◦59.9 16.0 4◦16.4 12.7 54.517 72◦48.1 -1◦51.3 47◦35.0 16.0 4◦29.1 12.7 54.518 87◦48.2 -1◦50.4 62◦10.0 16.0 4◦41.8 12.7 54.519 102◦48.4 -1◦49.4 76◦45.1 16.0 4◦54.4 12.6 54.520 117◦48.6 -1◦48.4 91◦20.1 16.0 5◦07.1 12.6 54.521 132◦48.8 -1◦47.4 105◦55.1 16.0 5◦19.7 12.6 54.522 147◦48.9 -1◦46.4 120◦30.1 16.0 5◦32.2 12.6 54.423 162◦49.1 -1◦45.4 135◦05.2 16.0 5◦44.8 12.5 54.4

SD.=16.1 d=1.0 S.D.=14.9

Tue GHA Dec GHA ν Dec d HP0 177◦49.3 -1◦44.4 149◦40.2 16.0 5◦57.3 12.5 54.41 192◦49.5 -1◦43.4 164◦15.2 16.0 6◦09.8 12.5 54.42 207◦49.7 -1◦42.4 178◦50.2 16.0 6◦22.2 12.4 54.43 222◦49.8 -1◦41.5 193◦25.1 16.0 6◦34.7 12.4 54.44 237◦50.0 -1◦40.5 208◦00.1 16.0 6◦47.1 12.4 54.45 252◦50.2 -1◦39.5 222◦35.1 16.0 6◦59.4 12.4 54.46 267◦50.4 -1◦38.5 237◦10.0 15.9 7◦11.8 12.3 54.47 282◦50.5 -1◦37.5 251◦45.0 15.9 7◦24.1 12.3 54.38 297◦50.7 -1◦36.5 266◦19.9 15.9 7◦36.3 12.3 54.39 312◦50.9 -1◦35.5 280◦54.8 15.9 7◦48.6 12.2 54.310 327◦51.1 -1◦34.5 295◦29.7 15.9 8◦00.8 12.2 54.311 342◦51.2 -1◦33.6 310◦04.6 15.9 8◦12.9 12.1 54.312 357◦51.4 -1◦32.6 324◦39.5 15.9 8◦25.1 12.1 54.313 12◦51.6 -1◦31.6 339◦14.3 15.8 8◦37.2 12.1 54.314 27◦51.8 -1◦30.6 353◦49.2 15.8 8◦49.2 12.0 54.315 42◦52.0 -1◦29.6 8◦24.0 15.8 9◦01.2 12.0 54.316 57◦52.1 -1◦28.6 22◦58.8 15.8 9◦13.2 12.0 54.317 72◦52.3 -1◦27.6 37◦33.5 15.8 9◦25.2 11.9 54.318 87◦52.5 -1◦26.6 52◦08.3 15.7 9◦37.1 11.9 54.219 102◦52.7 -1◦25.6 66◦43.0 15.7 9◦48.9 11.8 54.220 117◦52.8 -1◦24.7 81◦17.7 15.7 10◦00.7 11.8 54.221 132◦53.0 -1◦23.7 95◦52.4 15.7 10◦12.5 11.8 54.222 147◦53.2 -1◦22.7 110◦27.1 15.6 10◦24.2 11.7 54.223 162◦53.4 -1◦21.7 125◦01.7 15.6 10◦35.9 11.7 54.2

SD.=16.1 d=1.0 S.D.=14.8

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 03:52 05:16 06:23 17:57 19:04 20:3070 04:07 05:21 06:22 17:58 18:59 20:1568 04:18 05:25 06:20 17:59 18:55 20:0366 04:27 05:28 06:19 18:00 18:52 19:5364 04:34 05:31 06:18 18:01 18:49 19:4562 04:41 05:33 06:17 18:02 18:46 19:3960 04:46 05:35 06:16 18:03 18:44 19:3358 04:51 05:37 06:16 18:03 18:42 19:2956 04:55 05:38 06:15 18:04 18:41 19:2554 04:58 05:39 06:14 18:04 18:40 19:2152 05:01 05:40 06:14 18:05 18:38 19:1850 05:04 05:41 06:13 18:05 18:37 19:1545 05:09 05:43 06:12 18:06 18:35 19:1040 05:13 05:44 06:11 18:07 18:34 19:0535 05:16 05:45 06:11 18:08 18:33 19:0230 05:18 05:46 06:10 18:08 18:32 19:0020 05:21 05:46 06:08 18:10 18:32 18:5710 05:22 05:46 06:07 18:11 18:32 18:560 05:21 05:45 06:06 18:12 18:33 18:57-10 05:19 05:43 06:04 18:13 18:34 18:59-20 05:15 05:40 06:02 18:15 18:37 19:03-30 05:08 05:36 06:00 18:17 18:41 19:09-35 05:04 05:34 05:59 18:18 18:43 19:13-40 04:59 05:31 05:58 18:19 18:46 19:18-45 04:52 05:27 05:56 18:21 18:50 19:25-50 04:43 05:22 05:54 18:23 18:55 19:33-52 04:39 05:19 05:53 18:24 18:57 19:38-54 04:34 05:16 05:52 18:25 18:60 19:42-56 04:28 05:13 05:51 18:26 19:03 19:48-58 04:22 05:10 05:50 18:27 19:06 19:54-60 04:15 05:06 05:48 18:28 19:10 20:01

Moonrise MoonsetLat. Sun Mon Tue Sun Mon Tue72 07:29 07:05 06:40 19:10 21:02 22:5970 07:25 07:08 06:51 19:10 20:54 22:4168 07:22 07:11 06:59 19:10 20:48 22:2766 07:19 07:13 07:06 19:11 20:43 22:1664 07:17 07:15 07:12 19:11 20:38 22:0662 07:15 07:16 07:17 19:11 20:35 21:5860 07:13 07:17 07:22 19:11 20:31 21:5158 07:12 07:19 07:26 19:11 20:28 21:4556 07:10 07:20 07:29 19:11 20:26 21:4054 07:09 07:21 07:33 19:12 20:23 21:3552 07:08 07:22 07:36 19:12 20:21 21:3150 07:07 07:23 07:38 19:12 20:19 21:2745 07:05 07:24 07:44 19:12 20:15 21:1840 07:03 07:26 07:49 19:12 20:12 21:1135 07:01 07:27 07:54 19:12 20:09 21:0530 06:60 07:29 07:57 19:12 20:06 20:6020 06:57 07:31 08:04 19:13 20:02 20:5110 06:55 07:33 08:10 19:13 19:58 20:430 06:53 07:34 08:15 19:13 19:54 20:35-10 06:51 07:36 08:21 19:13 19:50 20:28-20 06:49 07:38 08:27 19:13 19:46 20:20-30 06:46 07:40 08:34 19:13 19:42 20:11-35 06:45 07:42 08:38 19:13 19:39 20:06-40 06:43 07:43 08:43 19:13 19:37 20:00-45 06:41 07:45 08:48 19:14 19:33 19:54-50 06:39 07:47 08:54 19:14 19:29 19:45-52 06:38 07:48 08:57 19:14 19:27 19:42-54 06:37 07:49 09:01 19:14 19:25 19:38-56 06:35 07:50 09:04 19:14 19:23 19:33-58 06:34 07:51 09:08 19:14 19:21 19:28-60 06:32 07:53 09:13 19:14 19:18 19:23

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower14 09:16 09:08 12:09 13:02 00:42 1(1%)15 09:00 08:51 12:08 13:44 01:23 2(4%)16 08:43 08:34 12:08 14:25 02:04 3(9%)

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March 17, 18 ,19 (Wed., Thu., Fri.)Aries Venus Mars Jupiter Saturn

Wed GHA GHA Dec GHA Dec GHA Dec GHA Dec0 174◦47.3 179◦28.4 -3◦35.2 109◦19.3 23◦01.1 212◦01.9 -15◦20.8 222◦07.4 -18◦11.31 189◦49.8 194◦28.0 -3◦34.0 124◦20.2 23◦01.3 227◦03.8 -15◦20.6 237◦09.6 -18◦11.32 204◦52.2 209◦27.6 -3◦32.7 139◦21.1 23◦01.6 242◦05.8 -15◦20.5 252◦11.9 -18◦11.23 219◦54.7 224◦27.2 -3◦31.5 154◦22.0 23◦01.8 257◦07.7 -15◦20.3 267◦14.1 -18◦11.24 234◦57.1 239◦26.8 -3◦30.2 169◦22.8 23◦02.1 272◦09.6 -15◦20.2 282◦16.3 -18◦11.15 249◦59.6 254◦26.4 -3◦29.0 184◦23.7 23◦02.3 287◦11.6 -15◦20.0 297◦18.5 -18◦11.06 265◦02.1 269◦26.0 -3◦27.7 199◦24.6 23◦02.5 302◦13.5 -15◦19.8 312◦20.8 -18◦11.07 280◦04.5 284◦25.6 -3◦26.5 214◦25.5 23◦02.8 317◦15.4 -15◦19.7 327◦23.0 -18◦10.98 295◦07.0 299◦25.2 -3◦25.3 229◦26.4 23◦03.0 332◦17.4 -15◦19.5 342◦25.2 -18◦10.99 310◦09.5 314◦24.8 -3◦24.0 244◦27.3 23◦03.3 347◦19.3 -15◦19.3 357◦27.4 -18◦10.810 325◦11.9 329◦24.4 -3◦22.8 259◦28.1 23◦03.5 2◦21.3 -15◦19.2 12◦29.7 -18◦10.711 340◦14.4 344◦24.0 -3◦21.5 274◦29.0 23◦03.8 17◦23.2 -15◦19.0 27◦31.9 -18◦10.712 355◦16.9 359◦23.6 -3◦20.3 289◦29.9 23◦04.0 32◦25.1 -15◦18.8 42◦34.1 -18◦10.613 10◦19.3 14◦23.2 -3◦19.0 304◦30.8 23◦04.3 47◦27.1 -15◦18.7 57◦36.3 -18◦10.614 25◦21.8 29◦22.8 -3◦17.8 319◦31.7 23◦04.5 62◦29.0 -15◦18.5 72◦38.6 -18◦10.515 40◦24.2 44◦22.4 -3◦16.5 334◦32.5 23◦04.7 77◦30.9 -15◦18.4 87◦40.8 -18◦10.416 55◦26.7 59◦22.0 -3◦15.3 349◦33.4 23◦05.0 92◦32.9 -15◦18.2 102◦43.0 -18◦10.417 70◦29.2 74◦21.7 -3◦14.0 4◦34.3 23◦05.2 107◦34.8 -15◦18.0 117◦45.2 -18◦10.318 85◦31.6 89◦21.3 -3◦12.8 19◦35.2 23◦05.5 122◦36.8 -15◦17.9 132◦47.5 -18◦10.319 100◦34.1 104◦20.9 -3◦11.6 34◦36.1 23◦05.7 137◦38.7 -15◦17.7 147◦49.7 -18◦10.220 115◦36.6 119◦20.5 -3◦10.3 49◦36.9 23◦06.0 152◦40.6 -15◦17.5 162◦51.9 -18◦10.221 130◦39.0 134◦20.1 -3◦09.1 64◦37.8 23◦06.2 167◦42.6 -15◦17.4 177◦54.1 -18◦10.122 145◦41.5 149◦19.7 -3◦07.8 79◦38.7 23◦06.4 182◦44.5 -15◦17.2 192◦56.4 -18◦10.023 160◦44.0 164◦19.3 -3◦06.6 94◦39.6 23◦06.7 197◦46.4 -15◦17.1 207◦58.6 -18◦10.0Mer.pass.:12:18 v-0.4 d1.2 m-3.8 v0.9 d0.2 m1.1 v1.9 d0.2 m-1.9 v2.2 d0.1 m0.8

Thu GHA GHA Dec GHA Dec GHA Dec GHA Dec0 175◦46.4 179◦18.9 -3◦05.3 109◦40.5 23◦06.9 212◦48.4 -15◦16.9 223◦00.8 -18◦09.91 190◦48.9 194◦18.5 -3◦04.1 124◦41.3 23◦07.2 227◦50.3 -15◦16.7 238◦03.1 -18◦09.92 205◦51.4 209◦18.1 -3◦02.8 139◦42.2 23◦07.4 242◦52.3 -15◦16.6 253◦05.3 -18◦09.83 220◦53.8 224◦17.7 -3◦01.6 154◦43.1 23◦07.6 257◦54.2 -15◦16.4 268◦07.5 -18◦09.74 235◦56.3 239◦17.3 -3◦00.3 169◦44.0 23◦07.9 272◦56.1 -15◦16.2 283◦09.7 -18◦09.75 250◦58.7 254◦16.9 -2◦59.1 184◦44.9 23◦08.1 287◦58.1 -15◦16.1 298◦12.0 -18◦09.66 266◦01.2 269◦16.5 -2◦57.8 199◦45.7 23◦08.4 303◦00.0 -15◦15.9 313◦14.2 -18◦09.67 281◦03.7 284◦16.2 -2◦56.6 214◦46.6 23◦08.6 318◦02.0 -15◦15.7 328◦16.4 -18◦09.58 296◦06.1 299◦15.8 -2◦55.3 229◦47.5 23◦08.8 333◦03.9 -15◦15.6 343◦18.6 -18◦09.59 311◦08.6 314◦15.4 -2◦54.1 244◦48.4 23◦09.1 348◦05.8 -15◦15.4 358◦20.9 -18◦09.410 326◦11.1 329◦15.0 -2◦52.8 259◦49.2 23◦09.3 3◦07.8 -15◦15.3 13◦23.1 -18◦09.311 341◦13.5 344◦14.6 -2◦51.6 274◦50.1 23◦09.6 18◦09.7 -15◦15.1 28◦25.3 -18◦09.312 356◦16.0 359◦14.2 -2◦50.3 289◦51.0 23◦09.8 33◦11.7 -15◦14.9 43◦27.6 -18◦09.213 11◦18.5 14◦13.8 -2◦49.1 304◦51.9 23◦10.0 48◦13.6 -15◦14.8 58◦29.8 -18◦09.214 26◦20.9 29◦13.4 -2◦47.8 319◦52.8 23◦10.3 63◦15.5 -15◦14.6 73◦32.0 -18◦09.115 41◦23.4 44◦13.0 -2◦46.6 334◦53.6 23◦10.5 78◦17.5 -15◦14.4 88◦34.2 -18◦09.016 56◦25.9 59◦12.6 -2◦45.3 349◦54.5 23◦10.7 93◦19.4 -15◦14.3 103◦36.5 -18◦09.017 71◦28.3 74◦12.2 -2◦44.1 4◦55.4 23◦11.0 108◦21.4 -15◦14.1 118◦38.7 -18◦08.918 86◦30.8 89◦11.9 -2◦42.8 19◦56.3 23◦11.2 123◦23.3 -15◦14.0 133◦40.9 -18◦08.919 101◦33.2 104◦11.5 -2◦41.6 34◦57.1 23◦11.5 138◦25.2 -15◦13.8 148◦43.2 -18◦08.820 116◦35.7 119◦11.1 -2◦40.3 49◦58.0 23◦11.7 153◦27.2 -15◦13.6 163◦45.4 -18◦08.821 131◦38.2 134◦10.7 -2◦39.1 64◦58.9 23◦11.9 168◦29.1 -15◦13.5 178◦47.6 -18◦08.722 146◦40.6 149◦10.3 -2◦37.8 79◦59.8 23◦12.2 183◦31.1 -15◦13.3 193◦49.9 -18◦08.623 161◦43.1 164◦09.9 -2◦36.6 95◦00.6 23◦12.4 198◦33.0 -15◦13.1 208◦52.1 -18◦08.6Mer.pass.:12:14 v-0.4 d1.2 m-3.8 v0.9 d0.2 m1.1 v1.9 d0.2 m-1.9 v2.2 d0.1 m0.8

Fri GHA GHA Dec GHA Dec GHA Dec GHA Dec0 176◦45.6 179◦09.5 -2◦35.3 110◦01.5 23◦12.6 213◦35.0 -15◦13.0 223◦54.3 -18◦08.51 191◦48.0 194◦09.1 -2◦34.1 125◦02.4 23◦12.9 228◦36.9 -15◦12.8 238◦56.5 -18◦08.52 206◦50.5 209◦08.7 -2◦32.8 140◦03.3 23◦13.1 243◦38.8 -15◦12.6 253◦58.8 -18◦08.43 221◦53.0 224◦08.3 -2◦31.6 155◦04.1 23◦13.3 258◦40.8 -15◦12.5 269◦01.0 -18◦08.34 236◦55.4 239◦08.0 -2◦30.3 170◦05.0 23◦13.6 273◦42.7 -15◦12.3 284◦03.2 -18◦08.35 251◦57.9 254◦07.6 -2◦29.1 185◦05.9 23◦13.8 288◦44.7 -15◦12.2 299◦05.5 -18◦08.26 267◦00.3 269◦07.2 -2◦27.8 200◦06.8 23◦14.0 303◦46.6 -15◦12.0 314◦07.7 -18◦08.27 282◦02.8 284◦06.8 -2◦26.6 215◦07.6 23◦14.3 318◦48.6 -15◦11.8 329◦09.9 -18◦08.18 297◦05.3 299◦06.4 -2◦25.3 230◦08.5 23◦14.5 333◦50.5 -15◦11.7 344◦12.2 -18◦08.19 312◦07.7 314◦06.0 -2◦24.1 245◦09.4 23◦14.7 348◦52.4 -15◦11.5 359◦14.4 -18◦08.010 327◦10.2 329◦05.6 -2◦22.8 260◦10.3 23◦15.0 3◦54.4 -15◦11.3 14◦16.6 -18◦07.911 342◦12.7 344◦05.2 -2◦21.6 275◦11.1 23◦15.2 18◦56.3 -15◦11.2 29◦18.8 -18◦07.912 357◦15.1 359◦04.9 -2◦20.3 290◦12.0 23◦15.4 33◦58.3 -15◦11.0 44◦21.1 -18◦07.813 12◦17.6 14◦04.5 -2◦19.1 305◦12.9 23◦15.7 49◦00.2 -15◦10.9 59◦23.3 -18◦07.814 27◦20.1 29◦04.1 -2◦17.8 320◦13.8 23◦15.9 64◦02.2 -15◦10.7 74◦25.5 -18◦07.715 42◦22.5 44◦03.7 -2◦16.6 335◦14.6 23◦16.1 79◦04.1 -15◦10.5 89◦27.8 -18◦07.716 57◦25.0 59◦03.3 -2◦15.3 350◦15.5 23◦16.4 94◦06.0 -15◦10.4 104◦30.0 -18◦07.617 72◦27.5 74◦02.9 -2◦14.1 5◦16.4 23◦16.6 109◦08.0 -15◦10.2 119◦32.2 -18◦07.518 87◦29.9 89◦02.5 -2◦12.8 20◦17.3 23◦16.8 124◦09.9 -15◦10.0 134◦34.5 -18◦07.519 102◦32.4 104◦02.1 -2◦11.6 35◦18.1 23◦17.1 139◦11.9 -15◦09.9 149◦36.7 -18◦07.420 117◦34.8 119◦01.8 -2◦10.3 50◦19.0 23◦17.3 154◦13.8 -15◦09.7 164◦38.9 -18◦07.421 132◦37.3 134◦01.4 -2◦09.1 65◦19.9 23◦17.5 169◦15.8 -15◦09.6 179◦41.2 -18◦07.322 147◦39.8 149◦01.0 -2◦07.8 80◦20.7 23◦17.7 184◦17.7 -15◦09.4 194◦43.4 -18◦07.323 162◦42.2 164◦00.6 -2◦06.6 95◦21.6 23◦18.0 199◦19.7 -15◦09.2 209◦45.6 -18◦07.2Mer.pass.:12:10 v-0.4 d1.3 m-3.8 v0.9 d0.2 m1.1 v1.9 d0.2 m-1.9 v2.2 d0.1 m0.8

StarsSHA Dec

Alpheratz 357◦38.3 29◦12.3Ankaa 353◦10.7 -42◦11.7

Schedar 349◦35.1 56◦39.1Diphda 348◦50.6 -17◦52.5

Achernar 335◦23.1 -57◦08.0Hamal 327◦55.0 23◦33.6Polaris 315◦46.4 89◦21.4Akamar 315◦14.4 -40◦13.5Menkar 314◦09.6 4◦10.2Mirfak 308◦32.9 49◦56.2

Aldebaran 290◦43.3 16◦33.0Rigel 281◦06.9 -8◦10.9

Capella 280◦26.5 46◦01.3Bellatrix 278◦26.2 6◦22.0Elnath 278◦05.8 28◦37.5Alnilam 275◦40.9 -1◦11.5

Betelgeuse 270◦55.4 7◦24.5Canopus 263◦53.7 -52◦42.8

Sirius 258◦28.8 -16◦44.8Adara 255◦08.2 -29◦00.3

Procyon 244◦53.8 5◦10.3Pollux 243◦20.8 27◦58.5Avior 234◦15.5 -59◦34.9Suhail 222◦48.2 -43◦31.3

Miaplacidus 221◦38.1 -69◦48.4Alphard 217◦50.5 -8◦45.1Regulus 207◦37.4 11◦51.8Dubhe 193◦44.2 61◦38.3

Denebola 182◦27.7 14◦27.2Gienah 175◦46.4 -17◦39.6Acrux 173◦02.8 -63◦12.9

Gacrux 171◦54.5 -57◦13.8Alioth 166◦15.3 55◦50.6Spica 158◦25.3 -11◦16.3Alcaid 152◦54.1 49◦12.3Hadar 148◦39.8 -60◦28.3

Menkent 148◦01.0 -36◦28.3Arcturus 145◦50.4 19◦04.5

Rigil Kent. 139◦44.0 -60◦55.1Zubenelg. 136◦59.2 -16◦07.7Kochab 137◦19.1 74◦03.9

Alphecca 126◦06.2 26◦38.5Antares 112◦19.5 -26◦28.6

Atria 107◦16.4 -69◦03.6Sabik 102◦06.3 -15◦45.0

Shaula 96◦14.6 -37◦07.0Rasalhague 96◦01.4 12◦32.6

Etamin 90◦43.6 51◦28.8Kaus Aust. 83◦36.7 -34◦22.3

Vega 80◦35.4 38◦47.9Nunki 75◦51.7 -26◦16.2Altair 62◦03.2 8◦55.2

Peacock 53◦11.0 -56◦39.9Deneb 49◦28.2 45◦21.1

Enif 33◦42.1 9◦58.1Alnair 27◦37.3 -46◦51.5

Fomalhaut 15◦18.4 -29◦30.8Scheat 13◦48.6 28◦11.6Markab 13◦33.3 15◦18.9

2021/3/1 SHA Mer.passVenus 4◦41.1 12:02Mars 294◦32.0 16:42

Jupiter 37◦14.6 09:51Saturn 47◦20.1 09:10

2021/3/1 SHA Mer.passVenus 3◦32.5 12:03Mars 293◦54.0 16:40

Jupiter 37◦02.0 09:48Saturn 47◦14.4 09:07

2021/3/1 SHA Mer.passVenus 2◦24.0 12:04Mars 293◦16.0 16:39

Jupiter 36◦49.4 09:44Saturn 47◦08.7 09:03

Horizontal paralaxVenus: 0.1Mars: 0.1

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2021 March 17 to Mar. 19

h Sun MoonWed GHA Dec GHA ν Dec d HP0 177◦53.6 -1◦20.7 139◦36.3 15.6 10◦47.6 11.6 54.21 192◦53.7 -1◦19.7 154◦10.9 15.6 10◦59.2 11.6 54.22 207◦53.9 -1◦18.7 168◦45.5 15.5 11◦10.7 11.5 54.23 222◦54.1 -1◦17.7 183◦20.0 15.5 11◦22.2 11.5 54.24 237◦54.3 -1◦16.7 197◦54.5 15.5 11◦33.7 11.4 54.25 252◦54.5 -1◦15.8 212◦29.0 15.5 11◦45.1 11.4 54.26 267◦54.6 -1◦14.8 227◦03.4 15.4 11◦56.5 11.3 54.27 282◦54.8 -1◦13.8 241◦37.8 15.4 12◦07.8 11.3 54.28 297◦55.0 -1◦12.8 256◦12.2 15.4 12◦19.0 11.2 54.29 312◦55.2 -1◦11.8 270◦46.5 15.3 12◦30.2 11.2 54.210 327◦55.4 -1◦10.8 285◦20.8 15.3 12◦41.4 11.1 54.111 342◦55.5 -1◦09.8 299◦55.1 15.3 12◦52.5 11.1 54.112 357◦55.7 -1◦08.8 314◦29.4 15.2 13◦03.6 11.0 54.113 12◦55.9 -1◦07.8 329◦03.6 15.2 13◦14.6 11.0 54.114 27◦56.1 -1◦06.9 343◦37.7 15.2 13◦25.5 10.9 54.115 42◦56.3 -1◦05.9 358◦11.9 15.1 13◦36.4 10.9 54.116 57◦56.4 -1◦04.9 12◦46.0 15.1 13◦47.2 10.8 54.117 72◦56.6 -1◦03.9 27◦20.0 15.0 13◦58.0 10.8 54.118 87◦56.8 -1◦02.9 41◦54.1 15.0 14◦08.8 10.7 54.119 102◦57.0 -1◦01.9 56◦28.0 15.0 14◦19.4 10.6 54.120 117◦57.2 -1◦00.9 71◦02.0 14.9 14◦30.0 10.6 54.121 132◦57.3 -0◦59.9 85◦35.9 14.9 14◦40.6 10.5 54.122 147◦57.5 -0◦58.9 100◦09.8 14.8 14◦51.1 10.5 54.123 162◦57.7 -0◦58.0 114◦43.6 14.8 15◦01.5 10.4 54.1

SD.=16.1 d=1.0 S.D.=14.8

Thu GHA Dec GHA ν Dec d HP0 177◦57.9 -0◦57.0 129◦17.4 14.8 15◦11.9 10.3 54.11 192◦58.1 -0◦56.0 143◦51.1 14.7 15◦22.2 10.3 54.12 207◦58.2 -0◦55.0 158◦24.8 14.7 15◦32.4 10.2 54.13 222◦58.4 -0◦54.0 172◦58.4 14.6 15◦42.6 10.1 54.14 237◦58.6 -0◦53.0 187◦32.0 14.6 15◦52.7 10.1 54.15 252◦58.8 -0◦52.0 202◦05.6 14.5 16◦02.8 10.0 54.16 267◦59.0 -0◦51.0 216◦39.1 14.5 16◦12.8 10.0 54.17 282◦59.1 -0◦50.0 231◦12.6 14.4 16◦22.7 9.9 54.18 297◦59.3 -0◦49.1 245◦46.0 14.4 16◦32.5 9.8 54.19 312◦59.5 -0◦48.1 260◦19.4 14.3 16◦42.3 9.8 54.110 327◦59.7 -0◦47.1 274◦52.7 14.3 16◦52.0 9.7 54.111 342◦59.9 -0◦46.1 289◦26.0 14.2 17◦01.7 9.6 54.112 358◦00.1 -0◦45.1 303◦59.2 14.2 17◦11.3 9.5 54.113 13◦00.2 -0◦44.1 318◦32.4 14.2 17◦20.8 9.5 54.114 28◦00.4 -0◦43.1 333◦05.5 14.1 17◦30.2 9.4 54.115 43◦00.6 -0◦42.1 347◦38.6 14.0 17◦39.6 9.3 54.116 58◦00.8 -0◦41.1 2◦11.6 14.0 17◦48.9 9.3 54.117 73◦01.0 -0◦40.2 16◦44.5 13.9 17◦58.1 9.2 54.118 88◦01.1 -0◦39.2 31◦17.5 13.9 18◦07.3 9.1 54.119 103◦01.3 -0◦38.2 45◦50.3 13.8 18◦16.3 9.0 54.120 118◦01.5 -0◦37.2 60◦23.2 13.8 18◦25.3 9.0 54.121 133◦01.7 -0◦36.2 74◦55.9 13.7 18◦34.3 8.9 54.122 148◦01.9 -0◦35.2 89◦28.6 13.7 18◦43.1 8.8 54.123 163◦02.1 -0◦34.2 104◦01.3 13.6 18◦51.9 8.7 54.1

SD.=16.1 d=1.0 S.D.=14.8

Fri GHA Dec GHA ν Dec d HP0 178◦02.2 -0◦33.2 118◦33.9 13.6 19◦00.6 8.7 54.21 193◦02.4 -0◦32.2 133◦06.4 13.5 19◦09.2 8.6 54.22 208◦02.6 -0◦31.3 147◦38.9 13.5 19◦17.7 8.5 54.23 223◦02.8 -0◦30.3 162◦11.3 13.4 19◦26.2 8.4 54.24 238◦03.0 -0◦29.3 176◦43.7 13.3 19◦34.5 8.3 54.25 253◦03.2 -0◦28.3 191◦16.0 13.3 19◦42.8 8.2 54.26 268◦03.3 -0◦27.3 205◦48.3 13.2 19◦51.0 8.2 54.27 283◦03.5 -0◦26.3 220◦20.5 13.2 19◦59.2 8.1 54.28 298◦03.7 -0◦25.3 234◦52.6 13.1 20◦07.2 8.0 54.29 313◦03.9 -0◦24.3 249◦24.7 13.1 20◦15.2 7.9 54.210 328◦04.1 -0◦23.3 263◦56.8 13.0 20◦23.0 7.8 54.211 343◦04.3 -0◦22.4 278◦28.7 12.9 20◦30.8 7.7 54.212 358◦04.4 -0◦21.4 293◦00.7 12.9 20◦38.5 7.7 54.213 13◦04.6 -0◦20.4 307◦32.5 12.8 20◦46.1 7.6 54.214 28◦04.8 -0◦19.4 322◦04.3 12.8 20◦53.6 7.5 54.215 43◦05.0 -0◦18.4 336◦36.1 12.7 21◦01.1 7.4 54.316 58◦05.2 -0◦17.4 351◦07.7 12.7 21◦08.4 7.3 54.317 73◦05.4 -0◦16.4 5◦39.4 12.6 21◦15.6 7.2 54.318 88◦05.5 -0◦15.4 20◦10.9 12.5 21◦22.8 7.1 54.319 103◦05.7 -0◦14.4 34◦42.4 12.5 21◦29.9 7.0 54.320 118◦05.9 -0◦13.5 49◦13.9 12.4 21◦36.8 6.9 54.321 133◦06.1 -0◦12.5 63◦45.3 12.4 21◦43.7 6.8 54.322 148◦06.3 -0◦11.5 78◦16.6 12.3 21◦50.5 6.7 54.323 163◦06.5 -0◦10.5 92◦47.8 12.2 21◦57.2 6.6 54.3

SD.=16.1 d=1.0 S.D.=14.8

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 03:33 05:00 06:08 18:11 19:19 20:4770 03:50 05:07 06:08 18:11 19:12 20:2968 04:04 05:12 06:08 18:10 19:06 20:1566 04:14 05:17 06:08 18:10 19:02 20:0464 04:23 05:20 06:07 18:10 18:58 19:5562 04:30 05:23 06:07 18:10 18:54 19:4860 04:36 05:26 06:07 18:10 18:52 19:4158 04:42 05:28 06:07 18:10 18:49 19:3656 04:46 05:30 06:07 18:10 18:47 19:3154 04:50 05:32 06:07 18:10 18:45 19:2752 04:54 05:33 06:07 18:10 18:44 19:2350 04:57 05:35 06:07 18:10 18:42 19:2045 05:03 05:38 06:07 18:10 18:39 19:1440 05:08 05:40 06:07 18:10 18:37 19:0935 05:12 05:41 06:06 18:10 18:35 19:0530 05:15 05:42 06:06 18:10 18:34 19:0220 05:18 05:44 06:06 18:11 18:33 18:5810 05:20 05:44 06:05 18:11 18:32 18:560 05:20 05:44 06:05 18:11 18:32 18:56-10 05:19 05:43 06:04 18:12 18:33 18:57-20 05:16 05:41 06:03 18:12 18:34 18:60-30 05:10 05:38 06:02 18:13 18:37 19:05-35 05:07 05:36 06:02 18:14 18:39 19:09-40 05:02 05:34 06:01 18:14 18:41 19:13-45 04:56 05:31 05:60 18:15 18:44 19:19-50 04:48 05:26 05:59 18:16 18:48 19:27-52 04:44 05:25 05:58 18:17 18:50 19:30-54 04:40 05:22 05:58 18:17 18:52 19:34-56 04:35 05:20 05:57 18:18 18:55 19:39-58 04:30 05:17 05:56 18:18 18:58 19:45-60 04:23 05:14 05:56 18:19 19:01 19:51

Moonrise MoonsetLat. Wed Thu Fri Wed Thu Fri72 06:11 05:24 –:– –:– 01:15 –:–70 06:30 06:03 05:01 –:– 00:37 03:1268 06:46 06:30 06:06 –:– 00:11 02:0866 06:59 06:51 06:41 23:52 –:– 01:3464 07:10 07:08 07:07 23:36 –:– 01:0962 07:19 07:22 07:27 23:23 –:– 00:4960 07:27 07:34 07:44 23:12 –:– 00:3358 07:34 07:44 07:58 23:02 –:– 00:2056 07:40 07:53 08:10 22:54 –:– 00:0854 07:46 08:01 08:20 22:47 23:58 –:–52 07:51 08:08 08:30 22:40 23:49 –:–50 07:55 08:15 08:38 22:34 23:41 –:–45 08:05 08:29 08:56 22:21 23:24 –:–40 08:14 08:40 09:11 22:11 23:10 –:–35 08:21 08:50 09:24 22:02 22:59 23:5630 08:27 08:59 09:34 21:54 22:49 23:4420 08:38 09:14 09:53 21:40 22:31 23:2310 08:48 09:28 10:10 21:29 22:16 23:050 08:57 09:40 10:25 21:18 22:02 22:48-10 09:06 09:53 10:41 21:07 21:48 22:31-20 09:16 10:06 10:58 20:55 21:33 22:13-30 09:28 10:22 11:17 20:42 21:15 21:53-35 09:34 10:31 11:28 20:34 21:06 21:41-40 09:42 10:42 11:41 20:26 20:54 21:27-45 09:51 10:54 11:57 20:16 20:41 21:11-50 10:02 11:09 12:16 20:04 20:25 20:51-52 10:07 11:16 12:25 19:58 20:17 20:41-54 10:12 11:24 12:35 19:52 20:09 20:31-56 10:18 11:33 12:47 19:45 19:59 20:19-58 10:25 11:43 13:00 19:37 19:49 20:05-60 10:33 11:54 13:16 19:28 19:36 19:49

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower17 08:26 08:17 12:08 15:07 02:46 4(15%)18 08:08 08:00 12:08 15:50 03:28 5(22%)19 07:51 07:42 12:07 16:36 04:13 6(30%)

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March 20, 21 ,22 (Sat., Sun., Mon.)Aries Venus Mars Jupiter Saturn

Sat GHA GHA Dec GHA Dec GHA Dec GHA Dec0 177◦44.7 179◦00.2 -2◦05.3 110◦22.5 23◦18.2 214◦21.6 -15◦09.1 224◦47.9 -18◦07.11 192◦47.2 193◦59.8 -2◦04.0 125◦23.4 23◦18.4 229◦23.5 -15◦08.9 239◦50.1 -18◦07.12 207◦49.6 208◦59.4 -2◦02.8 140◦24.2 23◦18.7 244◦25.5 -15◦08.7 254◦52.3 -18◦07.03 222◦52.1 223◦59.0 -2◦01.5 155◦25.1 23◦18.9 259◦27.4 -15◦08.6 269◦54.6 -18◦07.04 237◦54.6 238◦58.7 -2◦00.3 170◦26.0 23◦19.1 274◦29.4 -15◦08.4 284◦56.8 -18◦06.95 252◦57.0 253◦58.3 -1◦59.0 185◦26.8 23◦19.3 289◦31.3 -15◦08.3 299◦59.0 -18◦06.96 267◦59.5 268◦57.9 -1◦57.8 200◦27.7 23◦19.6 304◦33.3 -15◦08.1 315◦01.3 -18◦06.87 283◦02.0 283◦57.5 -1◦56.5 215◦28.6 23◦19.8 319◦35.2 -15◦07.9 330◦03.5 -18◦06.78 298◦04.4 298◦57.1 -1◦55.3 230◦29.5 23◦20.0 334◦37.2 -15◦07.8 345◦05.7 -18◦06.79 313◦06.9 313◦56.7 -1◦54.0 245◦30.3 23◦20.3 349◦39.1 -15◦07.6 0◦08.0 -18◦06.610 328◦09.3 328◦56.3 -1◦52.8 260◦31.2 23◦20.5 4◦41.1 -15◦07.5 15◦10.2 -18◦06.611 343◦11.8 343◦56.0 -1◦51.5 275◦32.1 23◦20.7 19◦43.0 -15◦07.3 30◦12.4 -18◦06.512 358◦14.3 358◦55.6 -1◦50.2 290◦32.9 23◦20.9 34◦44.9 -15◦07.1 45◦14.7 -18◦06.513 13◦16.7 13◦55.2 -1◦49.0 305◦33.8 23◦21.2 49◦46.9 -15◦07.0 60◦16.9 -18◦06.414 28◦19.2 28◦54.8 -1◦47.7 320◦34.7 23◦21.4 64◦48.8 -15◦06.8 75◦19.1 -18◦06.315 43◦21.7 43◦54.4 -1◦46.5 335◦35.5 23◦21.6 79◦50.8 -15◦06.6 90◦21.4 -18◦06.316 58◦24.1 58◦54.0 -1◦45.2 350◦36.4 23◦21.8 94◦52.7 -15◦06.5 105◦23.6 -18◦06.217 73◦26.6 73◦53.7 -1◦44.0 5◦37.3 23◦22.1 109◦54.7 -15◦06.3 120◦25.8 -18◦06.218 88◦29.1 88◦53.3 -1◦42.7 20◦38.1 23◦22.3 124◦56.6 -15◦06.2 135◦28.1 -18◦06.119 103◦31.5 103◦52.9 -1◦41.5 35◦39.0 23◦22.5 139◦58.6 -15◦06.0 150◦30.3 -18◦06.120 118◦34.0 118◦52.5 -1◦40.2 50◦39.9 23◦22.7 155◦00.5 -15◦05.8 165◦32.5 -18◦06.021 133◦36.4 133◦52.1 -1◦39.0 65◦40.8 23◦23.0 170◦02.5 -15◦05.7 180◦34.8 -18◦05.922 148◦38.9 148◦51.7 -1◦37.7 80◦41.6 23◦23.2 185◦04.4 -15◦05.5 195◦37.0 -18◦05.923 163◦41.4 163◦51.4 -1◦36.4 95◦42.5 23◦23.4 200◦06.4 -15◦05.3 210◦39.2 -18◦05.8Mer.pass.:12:07 v-0.4 d1.3 m-3.8 v0.9 d0.2 m1.2 v1.9 d0.2 m-1.9 v2.2 d0.1 m0.8

Sun GHA GHA Dec GHA Dec GHA Dec GHA Dec0 178◦43.8 178◦51.0 -1◦35.2 110◦43.4 23◦23.6 215◦08.3 -15◦05.2 225◦41.5 -18◦05.81 193◦46.3 193◦50.6 -1◦33.9 125◦44.2 23◦23.8 230◦10.3 -15◦05.0 240◦43.7 -18◦05.72 208◦48.8 208◦50.2 -1◦32.7 140◦45.1 23◦24.1 245◦12.2 -15◦04.9 255◦45.9 -18◦05.73 223◦51.2 223◦49.8 -1◦31.4 155◦46.0 23◦24.3 260◦14.2 -15◦04.7 270◦48.2 -18◦05.64 238◦53.7 238◦49.4 -1◦30.2 170◦46.8 23◦24.5 275◦16.1 -15◦04.5 285◦50.4 -18◦05.55 253◦56.2 253◦49.1 -1◦28.9 185◦47.7 23◦24.7 290◦18.1 -15◦04.4 300◦52.6 -18◦05.56 268◦58.6 268◦48.7 -1◦27.6 200◦48.6 23◦25.0 305◦20.0 -15◦04.2 315◦54.9 -18◦05.47 284◦01.1 283◦48.3 -1◦26.4 215◦49.4 23◦25.2 320◦22.0 -15◦04.1 330◦57.1 -18◦05.48 299◦03.6 298◦47.9 -1◦25.1 230◦50.3 23◦25.4 335◦23.9 -15◦03.9 345◦59.4 -18◦05.39 314◦06.0 313◦47.5 -1◦23.9 245◦51.2 23◦25.6 350◦25.9 -15◦03.7 1◦01.6 -18◦05.310 329◦08.5 328◦47.1 -1◦22.6 260◦52.0 23◦25.8 5◦27.8 -15◦03.6 16◦03.8 -18◦05.211 344◦10.9 343◦46.8 -1◦21.4 275◦52.9 23◦26.1 20◦29.8 -15◦03.4 31◦06.1 -18◦05.112 359◦13.4 358◦46.4 -1◦20.1 290◦53.8 23◦26.3 35◦31.7 -15◦03.2 46◦08.3 -18◦05.113 14◦15.9 13◦46.0 -1◦18.9 305◦54.6 23◦26.5 50◦33.6 -15◦03.1 61◦10.5 -18◦05.014 29◦18.3 28◦45.6 -1◦17.6 320◦55.5 23◦26.7 65◦35.6 -15◦02.9 76◦12.8 -18◦05.015 44◦20.8 43◦45.2 -1◦16.3 335◦56.4 23◦26.9 80◦37.5 -15◦02.8 91◦15.0 -18◦04.916 59◦23.3 58◦44.8 -1◦15.1 350◦57.2 23◦27.2 95◦39.5 -15◦02.6 106◦17.2 -18◦04.917 74◦25.7 73◦44.5 -1◦13.8 5◦58.1 23◦27.4 110◦41.4 -15◦02.4 121◦19.5 -18◦04.818 89◦28.2 88◦44.1 -1◦12.6 20◦59.0 23◦27.6 125◦43.4 -15◦02.3 136◦21.7 -18◦04.819 104◦30.7 103◦43.7 -1◦11.3 35◦59.8 23◦27.8 140◦45.4 -15◦02.1 151◦24.0 -18◦04.720 119◦33.1 118◦43.3 -1◦10.1 51◦00.7 23◦28.0 155◦47.3 -15◦02.0 166◦26.2 -18◦04.621 134◦35.6 133◦42.9 -1◦08.8 66◦01.5 23◦28.2 170◦49.3 -15◦01.8 181◦28.4 -18◦04.622 149◦38.1 148◦42.6 -1◦07.5 81◦02.4 23◦28.5 185◦51.2 -15◦01.6 196◦30.7 -18◦04.523 164◦40.5 163◦42.2 -1◦06.3 96◦03.3 23◦28.7 200◦53.2 -15◦01.5 211◦32.9 -18◦04.5Mer.pass.:12:03 v-0.4 d1.3 m-3.8 v0.9 d0.2 m1.2 v1.9 d0.2 m-1.9 v2.2 d0.1 m0.8

Mon GHA GHA Dec GHA Dec GHA Dec GHA Dec0 179◦43.0 178◦41.8 -1◦05.0 111◦04.1 23◦28.9 215◦55.1 -15◦01.3 226◦35.1 -18◦04.41 194◦45.4 193◦41.4 -1◦03.8 126◦05.0 23◦29.1 230◦57.1 -15◦01.1 241◦37.4 -18◦04.42 209◦47.9 208◦41.0 -1◦02.5 141◦05.9 23◦29.3 245◦59.0 -15◦01.0 256◦39.6 -18◦04.33 224◦50.4 223◦40.6 -1◦01.2 156◦06.7 23◦29.5 261◦01.0 -15◦00.8 271◦41.9 -18◦04.24 239◦52.8 238◦40.3 -0◦60.0 171◦07.6 23◦29.8 276◦02.9 -15◦00.7 286◦44.1 -18◦04.25 254◦55.3 253◦39.9 -0◦58.7 186◦08.5 23◦30.0 291◦04.9 -15◦00.5 301◦46.3 -18◦04.16 269◦57.8 268◦39.5 -0◦57.5 201◦09.3 23◦30.2 306◦06.8 -15◦00.3 316◦48.6 -18◦04.17 285◦00.2 283◦39.1 -0◦56.2 216◦10.2 23◦30.4 321◦08.8 -15◦00.2 331◦50.8 -18◦04.08 300◦02.7 298◦38.7 -0◦55.0 231◦11.1 23◦30.6 336◦10.7 -15◦00.0 346◦53.0 -18◦04.09 315◦05.2 313◦38.4 -0◦53.7 246◦11.9 23◦30.8 351◦12.7 -14◦59.9 1◦55.3 -18◦03.910 330◦07.6 328◦38.0 -0◦52.4 261◦12.8 23◦31.1 6◦14.6 -14◦59.7 16◦57.5 -18◦03.911 345◦10.1 343◦37.6 -0◦51.2 276◦13.6 23◦31.3 21◦16.6 -14◦59.5 31◦59.8 -18◦03.812 0◦12.6 358◦37.2 -0◦49.9 291◦14.5 23◦31.5 36◦18.5 -14◦59.4 47◦02.0 -18◦03.713 15◦15.0 13◦36.8 -0◦48.7 306◦15.4 23◦31.7 51◦20.5 -14◦59.2 62◦04.2 -18◦03.714 30◦17.5 28◦36.5 -0◦47.4 321◦16.2 23◦31.9 66◦22.4 -14◦59.1 77◦06.5 -18◦03.615 45◦19.9 43◦36.1 -0◦46.1 336◦17.1 23◦32.1 81◦24.4 -14◦58.9 92◦08.7 -18◦03.616 60◦22.4 58◦35.7 -0◦44.9 351◦18.0 23◦32.3 96◦26.3 -14◦58.7 107◦11.0 -18◦03.517 75◦24.9 73◦35.3 -0◦43.6 6◦18.8 23◦32.5 111◦28.3 -14◦58.6 122◦13.2 -18◦03.518 90◦27.3 88◦34.9 -0◦42.4 21◦19.7 23◦32.8 126◦30.2 -14◦58.4 137◦15.4 -18◦03.419 105◦29.8 103◦34.6 -0◦41.1 36◦20.5 23◦33.0 141◦32.2 -14◦58.2 152◦17.7 -18◦03.420 120◦32.3 118◦34.2 -0◦39.9 51◦21.4 23◦33.2 156◦34.2 -14◦58.1 167◦19.9 -18◦03.321 135◦34.7 133◦33.8 -0◦38.6 66◦22.3 23◦33.4 171◦36.1 -14◦57.9 182◦22.2 -18◦03.222 150◦37.2 148◦33.4 -0◦37.3 81◦23.1 23◦33.6 186◦38.1 -14◦57.8 197◦24.4 -18◦03.223 165◦39.7 163◦33.0 -0◦36.1 96◦24.0 23◦33.8 201◦40.0 -14◦57.6 212◦26.6 -18◦03.1Mer.pass.:11:59 v-0.4 d1.3 m-3.8 v0.9 d0.2 m1.2 v2.0 d0.2 m-1.9 v2.2 d0.1 m0.8

StarsSHA Dec

Alpheratz 357◦38.3 29◦12.3Ankaa 353◦10.7 -42◦11.7

Schedar 349◦35.1 56◦39.1Diphda 348◦50.6 -17◦52.5

Achernar 335◦23.1 -57◦08.0Hamal 327◦55.0 23◦33.6Polaris 315◦47.3 89◦21.4Akamar 315◦14.4 -40◦13.5Menkar 314◦09.6 4◦10.2Mirfak 308◦33.0 49◦56.2

Aldebaran 290◦43.3 16◦33.0Rigel 281◦06.9 -8◦10.9

Capella 280◦26.6 46◦01.3Bellatrix 278◦26.2 6◦22.0Elnath 278◦05.8 28◦37.5Alnilam 275◦40.9 -1◦11.5

Betelgeuse 270◦55.4 7◦24.5Canopus 263◦53.7 -52◦42.8

Sirius 258◦28.8 -16◦44.8Adara 255◦08.2 -29◦00.3

Procyon 244◦53.9 5◦10.3Pollux 243◦20.8 27◦58.5Avior 234◦15.6 -59◦34.9Suhail 222◦48.2 -43◦31.3

Miaplacidus 221◦38.1 -69◦48.4Alphard 217◦50.5 -8◦45.1Regulus 207◦37.4 11◦51.8Dubhe 193◦44.2 61◦38.3

Denebola 182◦27.7 14◦27.2Gienah 175◦46.4 -17◦39.6Acrux 173◦02.8 -63◦12.9

Gacrux 171◦54.4 -57◦13.8Alioth 166◦15.3 55◦50.6Spica 158◦25.3 -11◦16.3Alcaid 152◦54.1 49◦12.4Hadar 148◦39.8 -60◦28.3

Menkent 148◦00.9 -36◦28.3Arcturus 145◦50.3 19◦04.5

Rigil Kent. 139◦44.0 -60◦55.1Zubenelg. 136◦59.2 -16◦07.7Kochab 137◦19.1 74◦03.9

Alphecca 126◦06.2 26◦38.5Antares 112◦19.5 -26◦28.6

Atria 107◦16.4 -69◦03.6Sabik 102◦06.3 -15◦45.0

Shaula 96◦14.5 -37◦07.0Rasalhague 96◦01.4 12◦32.6

Etamin 90◦43.6 51◦28.8Kaus Aust. 83◦36.7 -34◦22.3

Vega 80◦35.4 38◦47.9Nunki 75◦51.7 -26◦16.2Altair 62◦03.2 8◦55.2

Peacock 53◦11.0 -56◦39.9Deneb 49◦28.2 45◦21.0

Enif 33◦42.1 9◦58.1Alnair 27◦37.3 -46◦51.5

Fomalhaut 15◦18.4 -29◦30.7Scheat 13◦48.6 28◦11.6Markab 13◦33.3 15◦18.9

2021/3/2 SHA Mer.passVenus 1◦15.5 12:04Mars 292◦37.8 16:38

Jupiter 36◦36.9 09:41Saturn 47◦03.2 08:59

2021/3/2 SHA Mer.passVenus 0◦07.1 12:05Mars 291◦59.5 16:36

Jupiter 36◦24.5 09:38Saturn 46◦57.6 08:56

2021/3/2 SHA Mer.passVenus 358◦58.8 12:06Mars 291◦21.2 16:35

Jupiter 36◦12.1 09:35Saturn 46◦52.2 08:52

Horizontal paralaxVenus: 0.1Mars: 0.1

54

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2021 March 20 to Mar. 22

h Sun MoonSat GHA Dec GHA ν Dec d HP0 178◦06.6 -0◦09.5 107◦19.0 12.2 22◦03.8 6.5 54.41 193◦06.8 -0◦08.5 121◦50.2 12.1 22◦10.3 6.4 54.42 208◦07.0 -0◦07.5 136◦21.3 12.1 22◦16.7 6.4 54.43 223◦07.2 -0◦06.5 150◦52.3 12.0 22◦23.0 6.3 54.44 238◦07.4 -0◦05.6 165◦23.3 11.9 22◦29.2 6.2 54.45 253◦07.6 -0◦04.6 179◦54.2 11.9 22◦35.3 6.1 54.46 268◦07.7 -0◦03.6 194◦25.0 11.8 22◦41.3 6.0 54.47 283◦07.9 -0◦02.6 208◦55.8 11.8 22◦47.2 5.9 54.48 298◦08.1 -0◦01.6 223◦26.5 11.7 22◦53.0 5.8 54.59 313◦08.3 -0◦00.6 237◦57.2 11.6 22◦58.7 5.6 54.510 328◦08.5 0◦00.4 252◦27.8 11.6 23◦04.3 5.5 54.511 343◦08.7 0◦01.4 266◦58.3 11.5 23◦09.8 5.4 54.512 358◦08.9 0◦02.4 281◦28.8 11.5 23◦15.2 5.3 54.513 13◦09.0 0◦03.3 295◦59.2 11.4 23◦20.5 5.2 54.514 28◦09.2 0◦04.3 310◦29.6 11.3 23◦25.7 5.1 54.515 43◦09.4 0◦05.3 324◦59.9 11.3 23◦30.7 5.0 54.616 58◦09.6 0◦06.3 339◦30.1 11.2 23◦35.7 4.9 54.617 73◦09.8 0◦07.3 354◦00.3 11.2 23◦40.5 4.8 54.618 88◦10.0 0◦08.3 8◦30.4 11.1 23◦45.3 4.7 54.619 103◦10.2 0◦09.3 23◦00.5 11.0 23◦49.9 4.6 54.620 118◦10.3 0◦10.3 37◦30.5 11.0 23◦54.5 4.5 54.621 133◦10.5 0◦11.2 52◦00.5 10.9 23◦58.9 4.4 54.722 148◦10.7 0◦12.2 66◦30.4 10.9 24◦03.2 4.2 54.723 163◦10.9 0◦13.2 81◦00.2 10.8 24◦07.4 4.1 54.7

SD.=16.1 d=1.0 S.D.=14.8

Sun GHA Dec GHA ν Dec d HP0 178◦11.1 0◦14.2 95◦30.0 10.8 24◦11.4 4.0 54.71 193◦11.3 0◦15.2 109◦59.7 10.7 24◦15.4 3.9 54.72 208◦11.5 0◦16.2 124◦29.4 10.6 24◦19.3 3.8 54.83 223◦11.6 0◦17.2 138◦59.0 10.6 24◦23.0 3.7 54.84 238◦11.8 0◦18.2 153◦28.6 10.5 24◦26.6 3.6 54.85 253◦12.0 0◦19.1 167◦58.1 10.5 24◦30.1 3.4 54.86 268◦12.2 0◦20.1 182◦27.6 10.4 24◦33.5 3.3 54.87 283◦12.4 0◦21.1 196◦57.0 10.4 24◦36.8 3.2 54.98 298◦12.6 0◦22.1 211◦26.3 10.3 24◦39.9 3.1 54.99 313◦12.8 0◦23.1 225◦55.6 10.3 24◦43.0 3.0 54.910 328◦12.9 0◦24.1 240◦24.8 10.2 24◦45.9 2.9 54.911 343◦13.1 0◦25.1 254◦54.0 10.2 24◦48.7 2.7 54.912 358◦13.3 0◦26.1 269◦23.2 10.1 24◦51.3 2.6 55.013 13◦13.5 0◦27.0 283◦52.3 10.1 24◦53.9 2.5 55.014 28◦13.7 0◦28.0 298◦21.3 10.0 24◦56.3 2.4 55.015 43◦13.9 0◦29.0 312◦50.3 10.0 24◦58.6 2.2 55.016 58◦14.1 0◦30.0 327◦19.2 9.9 25◦00.8 2.1 55.117 73◦14.2 0◦31.0 341◦48.1 9.9 25◦02.9 2.0 55.118 88◦14.4 0◦32.0 356◦17.0 9.8 25◦04.8 1.9 55.119 103◦14.6 0◦33.0 10◦45.8 9.8 25◦06.6 1.7 55.120 118◦14.8 0◦34.0 25◦14.5 9.7 25◦08.3 1.6 55.221 133◦15.0 0◦34.9 39◦43.3 9.7 25◦09.9 1.5 55.222 148◦15.2 0◦35.9 54◦11.9 9.6 25◦11.3 1.4 55.223 163◦15.4 0◦36.9 68◦40.5 9.6 25◦12.6 1.2 55.2

SD.=16.1 d=1.0 S.D.=14.9

Mon GHA Dec GHA ν Dec d HP0 178◦15.6 0◦37.9 83◦09.1 9.6 25◦13.8 1.1 55.31 193◦15.7 0◦38.9 97◦37.7 9.5 25◦14.8 1.0 55.32 208◦15.9 0◦39.9 112◦06.2 9.5 25◦15.8 0.9 55.33 223◦16.1 0◦40.9 126◦34.6 9.4 25◦16.6 0.7 55.34 238◦16.3 0◦41.9 141◦03.0 9.4 25◦17.2 0.6 55.45 253◦16.5 0◦42.8 155◦31.4 9.4 25◦17.8 0.5 55.46 268◦16.7 0◦43.8 169◦59.8 9.3 25◦18.2 0.3 55.47 283◦16.9 0◦44.8 184◦28.1 9.3 25◦18.4 0.2 55.48 298◦17.0 0◦45.8 198◦56.3 9.2 25◦18.6 0.1 55.59 313◦17.2 0◦46.8 213◦24.5 9.2 25◦18.6 -0.1 55.510 328◦17.4 0◦47.8 227◦52.7 9.2 25◦18.5 -0.2 55.511 343◦17.6 0◦48.8 242◦20.9 9.1 25◦18.2 -0.3 55.512 358◦17.8 0◦49.7 256◦49.0 9.1 25◦17.8 -0.5 55.613 13◦18.0 0◦50.7 271◦17.1 9.1 25◦17.3 -0.6 55.614 28◦18.2 0◦51.7 285◦45.2 9.0 25◦16.7 -0.7 55.615 43◦18.4 0◦52.7 300◦13.2 9.0 25◦15.9 -0.9 55.716 58◦18.5 0◦53.7 314◦41.2 9.0 25◦15.0 -1.0 55.717 73◦18.7 0◦54.7 329◦09.2 9.0 25◦13.9 -1.1 55.718 88◦18.9 0◦55.7 343◦37.1 8.9 25◦12.7 -1.3 55.819 103◦19.1 0◦56.6 358◦05.1 8.9 25◦11.4 -1.4 55.820 118◦19.3 0◦57.6 12◦33.0 8.9 25◦09.9 -1.5 55.821 133◦19.5 0◦58.6 27◦00.8 8.9 25◦08.3 -1.7 55.822 148◦19.7 0◦59.6 41◦28.7 8.8 25◦06.6 -1.8 55.923 163◦19.9 1◦00.6 55◦56.5 8.8 25◦04.7 -1.9 55.9

SD.=16.1 d=1.0 S.D.=15.1

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 03:13 04:44 05:52 18:24 19:33 21:0670 03:33 04:52 05:54 18:23 19:25 20:4568 03:49 04:59 05:55 18:21 19:18 20:2966 04:01 05:05 05:56 18:20 19:12 20:1664 04:11 05:09 05:57 18:19 19:07 20:0662 04:19 05:13 05:58 18:18 19:03 19:5760 04:27 05:17 05:58 18:17 18:59 19:5058 04:33 05:20 05:59 18:17 18:56 19:4356 04:38 05:22 05:59 18:16 18:53 19:3854 04:43 05:24 05:60 18:16 18:51 19:3352 04:47 05:26 06:00 18:15 18:49 19:2950 04:50 05:28 06:00 18:15 18:47 19:2545 04:57 05:32 06:01 18:14 18:43 19:1840 05:03 05:35 06:02 18:13 18:40 19:1235 05:07 05:37 06:02 18:13 18:38 19:0730 05:11 05:39 06:03 18:12 18:36 19:0420 05:16 05:41 06:03 18:11 18:33 18:5910 05:18 05:43 06:04 18:11 18:32 18:560 05:19 05:43 06:04 18:10 18:31 18:55-10 05:19 05:43 06:04 18:10 18:31 18:55-20 05:17 05:42 06:04 18:10 18:32 18:57-30 05:12 05:40 06:04 18:10 18:33 19:01-35 05:09 05:39 06:04 18:10 18:35 19:04-40 05:05 05:37 06:04 18:10 18:37 19:08-45 05:00 05:35 06:04 18:10 18:39 19:13-50 04:53 05:31 06:04 18:10 18:42 19:20-52 04:50 05:30 06:04 18:10 18:43 19:23-54 04:46 05:28 06:03 18:10 18:45 19:27-56 04:42 05:26 06:03 18:10 18:47 19:31-58 04:37 05:24 06:03 18:10 18:49 19:36-60 04:31 05:21 06:03 18:10 18:51 19:41

Moonrise MoonsetLat. Sat Sun Mon Sat Sun Mon72 –:– –:– –:– –:– –:– –:–70 –:– –:– –:– –:– –:– –:–68 –:– –:– –:– –:– –:– –:–66 06:25 –:– –:– 03:27 –:– –:–64 07:08 07:15 07:44 02:44 04:20 05:3862 07:37 07:57 08:36 02:16 03:38 04:4660 07:59 08:25 09:08 01:54 03:10 04:1458 08:18 08:47 09:32 01:36 02:48 03:5156 08:33 09:05 09:51 01:21 02:31 03:3154 08:46 09:21 10:07 01:09 02:16 03:1552 08:57 09:34 10:21 00:58 02:03 03:0250 09:08 09:45 10:33 00:48 01:51 02:4945 09:29 10:09 10:58 00:27 01:28 02:2440 09:47 10:29 11:18 00:10 01:09 02:0435 10:01 10:45 11:35 –:– 00:53 01:4830 10:14 10:59 11:50 –:– 00:39 01:3320 10:36 11:23 12:14 –:– 00:16 01:0910 10:55 11:44 12:35 23:56 –:– 00:480 11:13 12:03 12:55 23:37 –:– 00:28-10 11:31 12:22 13:15 23:18 –:– 00:08-20 11:50 12:43 13:36 22:58 23:47 –:–-30 12:12 13:07 14:01 22:35 23:22 –:–-35 12:26 13:22 14:15 22:21 23:08 –:–-40 12:41 13:38 14:32 22:06 22:51 23:45-45 12:59 13:58 14:52 21:47 22:31 23:25-50 13:21 14:23 15:17 21:24 22:06 22:60-52 13:32 14:35 15:30 21:13 21:54 22:48-54 13:45 14:49 15:44 21:00 21:40 22:34-56 13:59 15:05 15:60 20:46 21:24 22:18-58 14:15 15:24 16:19 20:29 21:05 21:58-60 14:36 15:47 16:43 20:08 20:41 21:34

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower20 07:33 07:24 12:07 17:24 05:00 7(40%)21 07:16 07:07 12:07 18:15 05:49 8(49%)22 06:58 06:49 12:06 19:07 06:41 9(59%)

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March 23, 24 ,25 (Tue., Wed., Thu.)Aries Venus Mars Jupiter Saturn

Tue GHA GHA Dec GHA Dec GHA Dec GHA Dec0 180◦42.1 178◦32.7 -0◦34.8 111◦24.8 23◦34.0 216◦42.0 -14◦57.4 227◦28.9 -18◦03.11 195◦44.6 193◦32.3 -0◦33.6 126◦25.7 23◦34.2 231◦43.9 -14◦57.3 242◦31.1 -18◦03.02 210◦47.0 208◦31.9 -0◦32.3 141◦26.6 23◦34.4 246◦45.9 -14◦57.1 257◦33.4 -18◦03.03 225◦49.5 223◦31.5 -0◦31.0 156◦27.4 23◦34.7 261◦47.8 -14◦57.0 272◦35.6 -18◦02.94 240◦52.0 238◦31.1 -0◦29.8 171◦28.3 23◦34.9 276◦49.8 -14◦56.8 287◦37.8 -18◦02.95 255◦54.4 253◦30.8 -0◦28.5 186◦29.1 23◦35.1 291◦51.7 -14◦56.6 302◦40.1 -18◦02.86 270◦56.9 268◦30.4 -0◦27.3 201◦30.0 23◦35.3 306◦53.7 -14◦56.5 317◦42.3 -18◦02.77 285◦59.4 283◦30.0 -0◦26.0 216◦30.9 23◦35.5 321◦55.7 -14◦56.3 332◦44.6 -18◦02.78 301◦01.8 298◦29.6 -0◦24.7 231◦31.7 23◦35.7 336◦57.6 -14◦56.2 347◦46.8 -18◦02.69 316◦04.3 313◦29.2 -0◦23.5 246◦32.6 23◦35.9 351◦59.6 -14◦56.0 2◦49.0 -18◦02.610 331◦06.8 328◦28.9 -0◦22.2 261◦33.4 23◦36.1 7◦01.5 -14◦55.8 17◦51.3 -18◦02.511 346◦09.2 343◦28.5 -0◦21.0 276◦34.3 23◦36.3 22◦03.5 -14◦55.7 32◦53.5 -18◦02.512 1◦11.7 358◦28.1 -0◦19.7 291◦35.2 23◦36.5 37◦05.4 -14◦55.5 47◦55.8 -18◦02.413 16◦14.2 13◦27.7 -0◦18.4 306◦36.0 23◦36.7 52◦07.4 -14◦55.4 62◦58.0 -18◦02.414 31◦16.6 28◦27.3 -0◦17.2 321◦36.9 23◦36.9 67◦09.3 -14◦55.2 78◦00.3 -18◦02.315 46◦19.1 43◦27.0 -0◦15.9 336◦37.7 23◦37.2 82◦11.3 -14◦55.0 93◦02.5 -18◦02.216 61◦21.5 58◦26.6 -0◦14.7 351◦38.6 23◦37.4 97◦13.3 -14◦54.9 108◦04.7 -18◦02.217 76◦24.0 73◦26.2 -0◦13.4 6◦39.5 23◦37.6 112◦15.2 -14◦54.7 123◦07.0 -18◦02.118 91◦26.5 88◦25.8 -0◦12.1 21◦40.3 23◦37.8 127◦17.2 -14◦54.6 138◦09.2 -18◦02.119 106◦28.9 103◦25.5 -0◦10.9 36◦41.2 23◦38.0 142◦19.1 -14◦54.4 153◦11.5 -18◦02.020 121◦31.4 118◦25.1 -0◦09.6 51◦42.0 23◦38.2 157◦21.1 -14◦54.2 168◦13.7 -18◦02.021 136◦33.9 133◦24.7 -0◦08.4 66◦42.9 23◦38.4 172◦23.0 -14◦54.1 183◦16.0 -18◦01.922 151◦36.3 148◦24.3 -0◦07.1 81◦43.7 23◦38.6 187◦25.0 -14◦53.9 198◦18.2 -18◦01.923 166◦38.8 163◦23.9 -0◦05.9 96◦44.6 23◦38.8 202◦27.0 -14◦53.8 213◦20.4 -18◦01.8Mer.pass.:11:55 v-0.4 d1.3 m-3.8 v0.9 d0.2 m1.2 v2.0 d0.2 m-1.9 v2.2 d0.1 m0.8

Wed GHA GHA Dec GHA Dec GHA Dec GHA Dec0 181◦41.3 178◦23.6 -0◦04.6 111◦45.5 23◦39.0 217◦28.9 -14◦53.6 228◦22.7 -18◦01.81 196◦43.7 193◦23.2 -0◦03.3 126◦46.3 23◦39.2 232◦30.9 -14◦53.4 243◦24.9 -18◦01.72 211◦46.2 208◦22.8 -0◦02.1 141◦47.2 23◦39.4 247◦32.8 -14◦53.3 258◦27.2 -18◦01.63 226◦48.7 223◦22.4 -0◦00.8 156◦48.0 23◦39.6 262◦34.8 -14◦53.1 273◦29.4 -18◦01.64 241◦51.1 238◦22.1 0◦00.4 171◦48.9 23◦39.8 277◦36.7 -14◦53.0 288◦31.7 -18◦01.55 256◦53.6 253◦21.7 0◦01.7 186◦49.7 23◦40.0 292◦38.7 -14◦52.8 303◦33.9 -18◦01.56 271◦56.0 268◦21.3 0◦03.0 201◦50.6 23◦40.2 307◦40.7 -14◦52.6 318◦36.1 -18◦01.47 286◦58.5 283◦20.9 0◦04.2 216◦51.5 23◦40.4 322◦42.6 -14◦52.5 333◦38.4 -18◦01.48 302◦01.0 298◦20.5 0◦05.5 231◦52.3 23◦40.6 337◦44.6 -14◦52.3 348◦40.6 -18◦01.39 317◦03.4 313◦20.2 0◦06.8 246◦53.2 23◦40.8 352◦46.5 -14◦52.2 3◦42.9 -18◦01.310 332◦05.9 328◦19.8 0◦08.0 261◦54.0 23◦41.0 7◦48.5 -14◦52.0 18◦45.1 -18◦01.211 347◦08.4 343◦19.4 0◦09.3 276◦54.9 23◦41.2 22◦50.5 -14◦51.8 33◦47.4 -18◦01.212 2◦10.8 358◦19.0 0◦10.5 291◦55.7 23◦41.4 37◦52.4 -14◦51.7 48◦49.6 -18◦01.113 17◦13.3 13◦18.7 0◦11.8 306◦56.6 23◦41.6 52◦54.4 -14◦51.5 63◦51.9 -18◦01.014 32◦15.8 28◦18.3 0◦13.1 321◦57.4 23◦41.8 67◦56.3 -14◦51.4 78◦54.1 -18◦01.015 47◦18.2 43◦17.9 0◦14.3 336◦58.3 23◦42.0 82◦58.3 -14◦51.2 93◦56.3 -18◦00.916 62◦20.7 58◦17.5 0◦15.6 351◦59.2 23◦42.2 98◦00.2 -14◦51.0 108◦58.6 -18◦00.917 77◦23.2 73◦17.1 0◦16.8 7◦00.0 23◦42.4 113◦02.2 -14◦50.9 124◦00.8 -18◦00.818 92◦25.6 88◦16.8 0◦18.1 22◦00.9 23◦42.6 128◦04.2 -14◦50.7 139◦03.1 -18◦00.819 107◦28.1 103◦16.4 0◦19.4 37◦01.7 23◦42.8 143◦06.1 -14◦50.6 154◦05.3 -18◦00.720 122◦30.5 118◦16.0 0◦20.6 52◦02.6 23◦43.0 158◦08.1 -14◦50.4 169◦07.6 -18◦00.721 137◦33.0 133◦15.6 0◦21.9 67◦03.4 23◦43.2 173◦10.0 -14◦50.2 184◦09.8 -18◦00.622 152◦35.5 148◦15.3 0◦23.1 82◦04.3 23◦43.4 188◦12.0 -14◦50.1 199◦12.1 -18◦00.623 167◦37.9 163◦14.9 0◦24.4 97◦05.1 23◦43.6 203◦14.0 -14◦49.9 214◦14.3 -18◦00.5Mer.pass.:11:51 v-0.4 d1.3 m-3.8 v0.9 d0.2 m1.2 v2.0 d0.2 m-1.9 v2.2 d0.1 m0.8

Thu GHA GHA Dec GHA Dec GHA Dec GHA Dec0 182◦40.4 178◦14.5 0◦25.7 112◦06.0 23◦43.8 218◦15.9 -14◦49.8 229◦16.5 -18◦00.41 197◦42.9 193◦14.1 0◦26.9 127◦06.8 23◦44.0 233◦17.9 -14◦49.6 244◦18.8 -18◦00.42 212◦45.3 208◦13.7 0◦28.2 142◦07.7 23◦44.2 248◦19.9 -14◦49.4 259◦21.0 -18◦00.33 227◦47.8 223◦13.4 0◦29.4 157◦08.6 23◦44.4 263◦21.8 -14◦49.3 274◦23.3 -18◦00.34 242◦50.3 238◦13.0 0◦30.7 172◦09.4 23◦44.6 278◦23.8 -14◦49.1 289◦25.5 -18◦00.25 257◦52.7 253◦12.6 0◦32.0 187◦10.3 23◦44.8 293◦25.7 -14◦49.0 304◦27.8 -18◦00.26 272◦55.2 268◦12.2 0◦33.2 202◦11.1 23◦45.0 308◦27.7 -14◦48.8 319◦30.0 -18◦00.17 287◦57.6 283◦11.9 0◦34.5 217◦12.0 23◦45.2 323◦29.7 -14◦48.6 334◦32.3 -18◦00.18 303◦00.1 298◦11.5 0◦35.7 232◦12.8 23◦45.4 338◦31.6 -14◦48.5 349◦34.5 -18◦00.09 318◦02.6 313◦11.1 0◦37.0 247◦13.7 23◦45.6 353◦33.6 -14◦48.3 4◦36.8 -17◦60.010 333◦05.0 328◦10.7 0◦38.3 262◦14.5 23◦45.8 8◦35.5 -14◦48.2 19◦39.0 -17◦59.911 348◦07.5 343◦10.4 0◦39.5 277◦15.4 23◦46.0 23◦37.5 -14◦48.0 34◦41.3 -17◦59.912 3◦10.0 358◦10.0 0◦40.8 292◦16.2 23◦46.2 38◦39.5 -14◦47.9 49◦43.5 -17◦59.813 18◦12.4 13◦09.6 0◦42.0 307◦17.1 23◦46.4 53◦41.4 -14◦47.7 64◦45.8 -17◦59.714 33◦14.9 28◦09.2 0◦43.3 322◦17.9 23◦46.6 68◦43.4 -14◦47.5 79◦48.0 -17◦59.715 48◦17.4 43◦08.8 0◦44.6 337◦18.8 23◦46.8 83◦45.4 -14◦47.4 94◦50.3 -17◦59.616 63◦19.8 58◦08.5 0◦45.8 352◦19.6 23◦47.0 98◦47.3 -14◦47.2 109◦52.5 -17◦59.617 78◦22.3 73◦08.1 0◦47.1 7◦20.5 23◦47.2 113◦49.3 -14◦47.1 124◦54.7 -17◦59.518 93◦24.8 88◦07.7 0◦48.3 22◦21.3 23◦47.4 128◦51.2 -14◦46.9 139◦57.0 -17◦59.519 108◦27.2 103◦07.3 0◦49.6 37◦22.2 23◦47.5 143◦53.2 -14◦46.7 154◦59.2 -17◦59.420 123◦29.7 118◦07.0 0◦50.9 52◦23.0 23◦47.7 158◦55.2 -14◦46.6 170◦01.5 -17◦59.421 138◦32.1 133◦06.6 0◦52.1 67◦23.9 23◦47.9 173◦57.1 -14◦46.4 185◦03.7 -17◦59.322 153◦34.6 148◦06.2 0◦53.4 82◦24.7 23◦48.1 188◦59.1 -14◦46.3 200◦06.0 -17◦59.323 168◦37.1 163◦05.8 0◦54.6 97◦25.6 23◦48.3 204◦01.1 -14◦46.1 215◦08.2 -17◦59.2Mer.pass.:11:47 v-0.4 d1.3 m-3.8 v0.9 d0.2 m1.2 v2.0 d0.2 m-1.9 v2.2 d0.1 m0.8

StarsSHA Dec

Alpheratz 357◦38.3 29◦12.3Ankaa 353◦10.7 -42◦11.7

Schedar 349◦35.1 56◦39.1Diphda 348◦50.6 -17◦52.5

Achernar 335◦23.1 -57◦08.0Hamal 327◦55.0 23◦33.6Polaris 315◦48.2 89◦21.3Akamar 315◦14.5 -40◦13.5Menkar 314◦09.6 4◦10.2Mirfak 308◦33.0 49◦56.2

Aldebaran 290◦43.3 16◦33.0Rigel 281◦06.9 -8◦10.9

Capella 280◦26.6 46◦01.3Bellatrix 278◦26.2 6◦22.0Elnath 278◦05.8 28◦37.5Alnilam 275◦40.9 -1◦11.5

Betelgeuse 270◦55.5 7◦24.5Canopus 263◦53.7 -52◦42.8

Sirius 258◦28.8 -16◦44.8Adara 255◦08.2 -29◦00.3

Procyon 244◦53.9 5◦10.3Pollux 243◦20.9 27◦58.5Avior 234◦15.6 -59◦34.9Suhail 222◦48.2 -43◦31.3

Miaplacidus 221◦38.2 -69◦48.4Alphard 217◦50.5 -8◦45.1Regulus 207◦37.4 11◦51.8Dubhe 193◦44.2 61◦38.3

Denebola 182◦27.7 14◦27.2Gienah 175◦46.4 -17◦39.6Acrux 173◦02.8 -63◦12.9

Gacrux 171◦54.4 -57◦13.9Alioth 166◦15.3 55◦50.7Spica 158◦25.3 -11◦16.3Alcaid 152◦54.1 49◦12.4Hadar 148◦39.8 -60◦28.3

Menkent 148◦00.9 -36◦28.4Arcturus 145◦50.3 19◦04.5

Rigil Kent. 139◦44.0 -60◦55.1Zubenelg. 136◦59.2 -16◦07.8Kochab 137◦19.0 74◦03.9

Alphecca 126◦06.2 26◦38.5Antares 112◦19.5 -26◦28.6

Atria 107◦16.3 -69◦03.6Sabik 102◦06.2 -15◦45.0

Shaula 96◦14.5 -37◦07.0Rasalhague 96◦01.4 12◦32.6

Etamin 90◦43.6 51◦28.8Kaus Aust. 83◦36.6 -34◦22.3

Vega 80◦35.4 38◦47.9Nunki 75◦51.7 -26◦16.2Altair 62◦03.2 8◦55.2

Peacock 53◦11.0 -56◦39.9Deneb 49◦28.1 45◦21.0

Enif 33◦42.1 9◦58.1Alnair 27◦37.3 -46◦51.5

Fomalhaut 15◦18.4 -29◦30.7Scheat 13◦48.6 28◦11.6Markab 13◦33.3 15◦18.9

2021/3/2 SHA Mer.passVenus 357◦50.5 12:06Mars 290◦42.7 16:33

Jupiter 35◦59.8 09:32Saturn 46◦46.8 08:49

2021/3/2 SHA Mer.passVenus 356◦42.3 12:07Mars 290◦04.2 16:32

Jupiter 35◦47.7 09:29Saturn 46◦41.4 08:45

2021/3/2 SHA Mer.passVenus 355◦34.1 12:07Mars 289◦25.6 16:31

Jupiter 35◦35.5 09:26Saturn 46◦36.1 08:42

Horizontal paralaxVenus: 0.1Mars: 0.1

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2021 March 23 to Mar. 25

h Sun MoonTue GHA Dec GHA ν Dec d HP0 178◦20.0 1◦01.6 70◦24.3 8.8 25◦02.7 -2.1 55.91 193◦20.2 1◦02.6 84◦52.1 8.8 25◦00.6 -2.2 56.02 208◦20.4 1◦03.5 99◦19.8 8.8 24◦58.3 -2.3 56.03 223◦20.6 1◦04.5 113◦47.6 8.7 24◦55.9 -2.5 56.04 238◦20.8 1◦05.5 128◦15.3 8.7 24◦53.3 -2.6 56.15 253◦21.0 1◦06.5 142◦43.0 8.7 24◦50.6 -2.8 56.16 268◦21.2 1◦07.5 157◦10.7 8.7 24◦47.8 -2.9 56.17 283◦21.4 1◦08.5 171◦38.4 8.7 24◦44.9 -3.0 56.28 298◦21.6 1◦09.5 186◦06.0 8.7 24◦41.8 -3.2 56.29 313◦21.7 1◦10.4 200◦33.7 8.6 24◦38.5 -3.3 56.210 328◦21.9 1◦11.4 215◦01.3 8.6 24◦35.1 -3.4 56.311 343◦22.1 1◦12.4 229◦28.9 8.6 24◦31.6 -3.6 56.312 358◦22.3 1◦13.4 243◦56.5 8.6 24◦28.0 -3.7 56.313 13◦22.5 1◦14.4 258◦24.1 8.6 24◦24.2 -3.9 56.414 28◦22.7 1◦15.4 272◦51.7 8.6 24◦20.2 -4.0 56.415 43◦22.9 1◦16.4 287◦19.3 8.6 24◦16.2 -4.1 56.416 58◦23.1 1◦17.3 301◦46.9 8.6 24◦12.0 -4.3 56.517 73◦23.2 1◦18.3 316◦14.5 8.6 24◦07.6 -4.4 56.518 88◦23.4 1◦19.3 330◦42.0 8.6 24◦03.1 -4.6 56.519 103◦23.6 1◦20.3 345◦09.6 8.6 23◦58.5 -4.7 56.620 118◦23.8 1◦21.3 359◦37.2 8.6 23◦53.7 -4.8 56.621 133◦24.0 1◦22.3 14◦04.7 8.6 23◦48.8 -5.0 56.622 148◦24.2 1◦23.2 28◦32.3 8.6 23◦43.8 -5.1 56.723 163◦24.4 1◦24.2 42◦59.8 8.6 23◦38.6 -5.2 56.7

SD.=16.0 d=1.0 S.D.=15.3

Wed GHA Dec GHA ν Dec d HP0 178◦24.6 1◦25.2 57◦27.4 8.6 23◦33.3 -5.4 56.81 193◦24.8 1◦26.2 71◦54.9 8.6 23◦27.9 -5.5 56.82 208◦24.9 1◦27.2 86◦22.5 8.6 23◦22.3 -5.7 56.83 223◦25.1 1◦28.2 100◦50.1 8.6 23◦16.6 -5.8 56.94 238◦25.3 1◦29.2 115◦17.6 8.6 23◦10.7 -5.9 56.95 253◦25.5 1◦30.1 129◦45.2 8.6 23◦04.7 -6.1 56.96 268◦25.7 1◦31.1 144◦12.8 8.6 22◦58.6 -6.2 57.07 283◦25.9 1◦32.1 158◦40.3 8.6 22◦52.3 -6.3 57.08 298◦26.1 1◦33.1 173◦07.9 8.6 22◦45.9 -6.5 57.09 313◦26.3 1◦34.1 187◦35.5 8.6 22◦39.4 -6.6 57.110 328◦26.5 1◦35.1 202◦03.1 8.6 22◦32.7 -6.7 57.111 343◦26.6 1◦36.0 216◦30.7 8.6 22◦25.9 -6.9 57.212 358◦26.8 1◦37.0 230◦58.3 8.6 22◦19.0 -7.0 57.213 13◦27.0 1◦38.0 245◦26.0 8.6 22◦11.9 -7.1 57.214 28◦27.2 1◦39.0 259◦53.6 8.6 22◦04.7 -7.3 57.315 43◦27.4 1◦40.0 274◦21.3 8.7 21◦57.3 -7.4 57.316 58◦27.6 1◦41.0 288◦48.9 8.7 21◦49.9 -7.5 57.317 73◦27.8 1◦41.9 303◦16.6 8.7 21◦42.2 -7.7 57.418 88◦28.0 1◦42.9 317◦44.3 8.7 21◦34.5 -7.8 57.419 103◦28.2 1◦43.9 332◦12.0 8.7 21◦26.6 -7.9 57.520 118◦28.3 1◦44.9 346◦39.7 8.7 21◦18.6 -8.1 57.521 133◦28.5 1◦45.9 1◦07.4 8.7 21◦10.5 -8.2 57.522 148◦28.7 1◦46.9 15◦35.2 8.8 21◦02.2 -8.3 57.623 163◦28.9 1◦47.8 30◦02.9 8.8 20◦53.8 -8.5 57.6

SD.=16.0 d=1.0 S.D.=15.5

Thu GHA Dec GHA ν Dec d HP0 178◦29.1 1◦48.8 44◦30.7 8.8 20◦45.3 -8.6 57.71 193◦29.3 1◦49.8 58◦58.5 8.8 20◦36.7 -8.7 57.72 208◦29.5 1◦50.8 73◦26.3 8.8 20◦27.9 -8.8 57.73 223◦29.7 1◦51.8 87◦54.2 8.8 20◦19.0 -9.0 57.84 238◦29.9 1◦52.8 102◦22.0 8.9 20◦10.0 -9.1 57.85 253◦30.1 1◦53.7 116◦49.9 8.9 20◦00.8 -9.2 57.86 268◦30.2 1◦54.7 131◦17.8 8.9 19◦51.5 -9.3 57.97 283◦30.4 1◦55.7 145◦45.7 8.9 19◦42.1 -9.5 57.98 298◦30.6 1◦56.7 160◦13.6 8.9 19◦32.6 -9.6 58.09 313◦30.8 1◦57.7 174◦41.6 9.0 19◦22.9 -9.7 58.010 328◦31.0 1◦58.6 189◦09.5 9.0 19◦13.2 -9.8 58.011 343◦31.2 1◦59.6 203◦37.5 9.0 19◦03.3 -10.0 58.112 358◦31.4 2◦00.6 218◦05.5 9.0 18◦53.3 -10.1 58.113 13◦31.6 2◦01.6 232◦33.5 9.0 18◦43.1 -10.2 58.114 28◦31.8 2◦02.6 247◦01.6 9.1 18◦32.9 -10.3 58.215 43◦31.9 2◦03.6 261◦29.7 9.1 18◦22.5 -10.4 58.216 58◦32.1 2◦04.5 275◦57.8 9.1 18◦12.0 -10.6 58.317 73◦32.3 2◦05.5 290◦25.9 9.1 18◦01.4 -10.7 58.318 88◦32.5 2◦06.5 304◦54.0 9.1 17◦50.7 -10.8 58.319 103◦32.7 2◦07.5 319◦22.2 9.2 17◦39.8 -10.9 58.420 118◦32.9 2◦08.5 333◦50.4 9.2 17◦28.9 -11.0 58.421 133◦33.1 2◦09.4 348◦18.6 9.2 17◦17.8 -11.1 58.522 148◦33.3 2◦10.4 2◦46.8 9.2 17◦06.6 -11.2 58.523 163◦33.5 2◦11.4 17◦15.0 9.3 16◦55.3 -11.3 58.5

SD.=16.0 d=1.0 S.D.=15.7

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 02:51 04:27 05:37 18:38 19:49 21:2770 03:15 04:38 05:40 18:35 19:38 21:0168 03:33 04:46 05:42 18:32 19:29 20:4366 03:47 04:53 05:44 18:30 19:22 20:2864 03:59 04:58 05:46 18:28 19:16 20:1662 04:08 05:03 05:48 18:26 19:11 20:0660 04:17 05:07 05:49 18:25 19:07 19:5858 04:23 05:11 05:50 18:23 19:03 19:5156 04:29 05:14 05:51 18:22 18:60 19:4554 04:35 05:17 05:52 18:21 18:57 19:3952 04:39 05:19 05:53 18:20 18:54 19:3550 04:43 05:22 05:54 18:20 18:52 19:3045 04:52 05:26 05:56 18:18 18:47 19:2240 04:58 05:30 05:57 18:16 18:43 19:1535 05:03 05:33 05:58 18:15 18:40 19:1030 05:07 05:35 05:59 18:14 18:38 19:0620 05:13 05:39 06:01 18:12 18:34 18:6010 05:16 05:41 06:02 18:11 18:32 18:560 05:18 05:42 06:03 18:09 18:30 18:54-10 05:19 05:43 06:04 18:08 18:29 18:54-20 05:17 05:43 06:05 18:07 18:29 18:55-30 05:14 05:42 06:06 18:06 18:30 18:58-35 05:12 05:41 06:06 18:05 18:31 18:60-40 05:09 05:40 06:07 18:05 18:32 19:03-45 05:04 05:38 06:08 18:04 18:33 19:07-50 04:58 05:36 06:08 18:03 18:35 19:13-52 04:55 05:35 06:09 18:03 18:36 19:16-54 04:52 05:34 06:09 18:02 18:37 19:19-56 04:48 05:32 06:09 18:02 18:39 19:22-58 04:44 05:31 06:10 18:01 18:40 19:27-60 04:39 05:29 06:10 18:01 18:42 19:31

Moonrise MoonsetLat. Tue Wed Thu Tue Wed Thu72 –:– –:– –:– –:– –:– –:–70 –:– –:– 10:42 –:– –:– 08:1968 –:– –:– 11:37 –:– –:– 07:2366 –:– 10:00 12:10 –:– 07:07 06:4964 09:00 10:44 12:34 06:13 06:22 06:2462 09:44 11:13 12:52 05:30 05:53 06:0460 10:12 11:35 13:08 05:01 05:30 05:4858 10:35 11:53 13:21 04:38 05:12 05:3456 10:53 12:08 13:32 04:20 04:56 05:2354 11:08 12:21 13:42 04:05 04:43 05:1252 11:21 12:32 13:51 03:51 04:31 05:0350 11:33 12:42 13:59 03:40 04:21 04:5445 11:57 13:03 14:15 03:15 03:59 04:3740 12:16 13:20 14:29 02:56 03:42 04:2235 12:32 13:34 14:40 02:39 03:27 04:1030 12:46 13:46 14:50 02:25 03:14 03:5920 13:09 14:07 15:07 02:01 02:52 03:4010 13:30 14:26 15:22 01:40 02:33 03:240 13:49 14:43 15:36 01:21 02:14 03:08-10 14:08 14:59 15:50 01:01 01:56 02:53-20 14:28 15:17 16:04 00:40 01:37 02:36-30 14:51 15:38 16:21 00:16 01:14 02:17-35 15:05 15:50 16:31 00:01 01:01 02:05-40 15:21 16:04 16:42 –:– 00:46 01:52-45 15:40 16:21 16:55 –:– 00:27 01:37-50 16:03 16:41 17:11 –:– 00:04 01:17-52 16:15 16:50 17:18 23:53 –:– 01:08-54 16:28 17:01 17:26 23:41 –:– 00:58-56 16:42 17:13 17:35 23:26 –:– 00:47-58 16:60 17:27 17:46 23:09 –:– 00:33-60 17:21 17:43 17:57 22:49 –:– 00:17

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower23 06:40 06:31 12:06 20:01 07:34 10(68%)24 06:22 06:13 12:06 20:55 08:28 11(78%)25 06:04 05:54 12:05 21:48 09:22 12(86%)

57

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March 26, 27 ,28 (Fri., Sat., Sun.)Aries Venus Mars Jupiter Saturn

Fri GHA GHA Dec GHA Dec GHA Dec GHA Dec0 183◦39.5 178◦05.5 0◦55.9 112◦26.4 23◦48.5 219◦03.0 -14◦45.9 230◦10.5 -17◦59.21 198◦42.0 193◦05.1 0◦57.2 127◦27.3 23◦48.7 234◦05.0 -14◦45.8 245◦12.7 -17◦59.12 213◦44.5 208◦04.7 0◦58.4 142◦28.1 23◦48.9 249◦07.0 -14◦45.6 260◦15.0 -17◦59.13 228◦46.9 223◦04.3 0◦59.7 157◦29.0 23◦49.1 264◦08.9 -14◦45.5 275◦17.2 -17◦59.04 243◦49.4 238◦03.9 1◦00.9 172◦29.8 23◦49.3 279◦10.9 -14◦45.3 290◦19.5 -17◦58.95 258◦51.9 253◦03.6 1◦02.2 187◦30.7 23◦49.5 294◦12.9 -14◦45.1 305◦21.7 -17◦58.96 273◦54.3 268◦03.2 1◦03.5 202◦31.5 23◦49.7 309◦14.8 -14◦45.0 320◦24.0 -17◦58.87 288◦56.8 283◦02.8 1◦04.7 217◦32.4 23◦49.8 324◦16.8 -14◦44.8 335◦26.2 -17◦58.88 303◦59.2 298◦02.4 1◦06.0 232◦33.2 23◦50.0 339◦18.7 -14◦44.7 350◦28.5 -17◦58.79 319◦01.7 313◦02.1 1◦07.2 247◦34.1 23◦50.2 354◦20.7 -14◦44.5 5◦30.7 -17◦58.710 334◦04.2 328◦01.7 1◦08.5 262◦34.9 23◦50.4 9◦22.7 -14◦44.4 20◦33.0 -17◦58.611 349◦06.6 343◦01.3 1◦09.8 277◦35.8 23◦50.6 24◦24.6 -14◦44.2 35◦35.2 -17◦58.612 4◦09.1 358◦00.9 1◦11.0 292◦36.6 23◦50.8 39◦26.6 -14◦44.0 50◦37.5 -17◦58.513 19◦11.6 13◦00.6 1◦12.3 307◦37.5 23◦51.0 54◦28.6 -14◦43.9 65◦39.7 -17◦58.514 34◦14.0 28◦00.2 1◦13.5 322◦38.3 23◦51.2 69◦30.5 -14◦43.7 80◦42.0 -17◦58.415 49◦16.5 42◦59.8 1◦14.8 337◦39.2 23◦51.4 84◦32.5 -14◦43.6 95◦44.2 -17◦58.416 64◦19.0 57◦59.4 1◦16.1 352◦40.0 23◦51.5 99◦34.5 -14◦43.4 110◦46.5 -17◦58.317 79◦21.4 72◦59.0 1◦17.3 7◦40.9 23◦51.7 114◦36.4 -14◦43.2 125◦48.7 -17◦58.318 94◦23.9 87◦58.7 1◦18.6 22◦41.7 23◦51.9 129◦38.4 -14◦43.1 140◦51.0 -17◦58.219 109◦26.4 102◦58.3 1◦19.8 37◦42.6 23◦52.1 144◦40.4 -14◦42.9 155◦53.2 -17◦58.120 124◦28.8 117◦57.9 1◦21.1 52◦43.4 23◦52.3 159◦42.3 -14◦42.8 170◦55.5 -17◦58.121 139◦31.3 132◦57.5 1◦22.4 67◦44.3 23◦52.5 174◦44.3 -14◦42.6 185◦57.7 -17◦58.022 154◦33.7 147◦57.2 1◦23.6 82◦45.1 23◦52.7 189◦46.3 -14◦42.5 200◦60.0 -17◦58.023 169◦36.2 162◦56.8 1◦24.9 97◦46.0 23◦52.8 204◦48.2 -14◦42.3 216◦02.2 -17◦57.9Mer.pass.:11:43 v-0.4 d1.3 m-3.8 v0.9 d0.2 m1.2 v2.0 d0.2 m-1.9 v2.2 d0.1 m0.8

Sat GHA GHA Dec GHA Dec GHA Dec GHA Dec0 184◦38.7 177◦56.4 1◦26.1 112◦46.8 23◦53.0 219◦50.2 -14◦42.1 231◦04.5 -17◦57.91 199◦41.1 192◦56.0 1◦27.4 127◦47.7 23◦53.2 234◦52.2 -14◦42.0 246◦06.7 -17◦57.82 214◦43.6 207◦55.7 1◦28.7 142◦48.5 23◦53.4 249◦54.1 -14◦41.8 261◦09.0 -17◦57.83 229◦46.1 222◦55.3 1◦29.9 157◦49.4 23◦53.6 264◦56.1 -14◦41.7 276◦11.2 -17◦57.74 244◦48.5 237◦54.9 1◦31.2 172◦50.2 23◦53.8 279◦58.1 -14◦41.5 291◦13.5 -17◦57.75 259◦51.0 252◦54.5 1◦32.4 187◦51.1 23◦54.0 295◦00.0 -14◦41.4 306◦15.7 -17◦57.66 274◦53.5 267◦54.1 1◦33.7 202◦51.9 23◦54.1 310◦02.0 -14◦41.2 321◦18.0 -17◦57.67 289◦55.9 282◦53.8 1◦35.0 217◦52.8 23◦54.3 325◦04.0 -14◦41.0 336◦20.3 -17◦57.58 304◦58.4 297◦53.4 1◦36.2 232◦53.6 23◦54.5 340◦06.0 -14◦40.9 351◦22.5 -17◦57.59 320◦00.9 312◦53.0 1◦37.5 247◦54.5 23◦54.7 355◦07.9 -14◦40.7 6◦24.8 -17◦57.410 335◦03.3 327◦52.6 1◦38.7 262◦55.3 23◦54.9 10◦09.9 -14◦40.6 21◦27.0 -17◦57.411 350◦05.8 342◦52.3 1◦40.0 277◦56.1 23◦55.0 25◦11.9 -14◦40.4 36◦29.3 -17◦57.312 5◦08.2 357◦51.9 1◦41.3 292◦57.0 23◦55.2 40◦13.8 -14◦40.2 51◦31.5 -17◦57.313 20◦10.7 12◦51.5 1◦42.5 307◦57.8 23◦55.4 55◦15.8 -14◦40.1 66◦33.8 -17◦57.214 35◦13.2 27◦51.1 1◦43.8 322◦58.7 23◦55.6 70◦17.8 -14◦39.9 81◦36.0 -17◦57.215 50◦15.6 42◦50.8 1◦45.0 337◦59.5 23◦55.8 85◦19.7 -14◦39.8 96◦38.3 -17◦57.116 65◦18.1 57◦50.4 1◦46.3 353◦00.4 23◦56.0 100◦21.7 -14◦39.6 111◦40.5 -17◦57.017 80◦20.6 72◦50.0 1◦47.5 8◦01.2 23◦56.1 115◦23.7 -14◦39.5 126◦42.8 -17◦57.018 95◦23.0 87◦49.6 1◦48.8 23◦02.1 23◦56.3 130◦25.6 -14◦39.3 141◦45.0 -17◦56.919 110◦25.5 102◦49.2 1◦50.1 38◦02.9 23◦56.5 145◦27.6 -14◦39.1 156◦47.3 -17◦56.920 125◦28.0 117◦48.9 1◦51.3 53◦03.8 23◦56.7 160◦29.6 -14◦39.0 171◦49.5 -17◦56.821 140◦30.4 132◦48.5 1◦52.6 68◦04.6 23◦56.9 175◦31.6 -14◦38.8 186◦51.8 -17◦56.822 155◦32.9 147◦48.1 1◦53.8 83◦05.4 23◦57.0 190◦33.5 -14◦38.7 201◦54.0 -17◦56.723 170◦35.3 162◦47.7 1◦55.1 98◦06.3 23◦57.2 205◦35.5 -14◦38.5 216◦56.3 -17◦56.7Mer.pass.:11:39 v-0.4 d1.3 m-3.8 v0.8 d0.2 m1.2 v2.0 d0.2 m-1.9 v2.3 d0.1 m0.8

Sun GHA GHA Dec GHA Dec GHA Dec GHA Dec0 185◦37.8 177◦47.4 1◦56.4 113◦07.1 23◦57.4 220◦37.5 -14◦38.4 231◦58.6 -17◦56.61 200◦40.3 192◦47.0 1◦57.6 128◦08.0 23◦57.6 235◦39.4 -14◦38.2 247◦00.8 -17◦56.62 215◦42.7 207◦46.6 1◦58.9 143◦08.8 23◦57.8 250◦41.4 -14◦38.0 262◦03.1 -17◦56.53 230◦45.2 222◦46.2 2◦00.1 158◦09.7 23◦57.9 265◦43.4 -14◦37.9 277◦05.3 -17◦56.54 245◦47.7 237◦45.8 2◦01.4 173◦10.5 23◦58.1 280◦45.3 -14◦37.7 292◦07.6 -17◦56.45 260◦50.1 252◦45.5 2◦02.6 188◦11.4 23◦58.3 295◦47.3 -14◦37.6 307◦09.8 -17◦56.46 275◦52.6 267◦45.1 2◦03.9 203◦12.2 23◦58.5 310◦49.3 -14◦37.4 322◦12.1 -17◦56.37 290◦55.1 282◦44.7 2◦05.2 218◦13.0 23◦58.6 325◦51.3 -14◦37.3 337◦14.3 -17◦56.38 305◦57.5 297◦44.3 2◦06.4 233◦13.9 23◦58.8 340◦53.2 -14◦37.1 352◦16.6 -17◦56.29 320◦60.0 312◦44.0 2◦07.7 248◦14.7 23◦59.0 355◦55.2 -14◦36.9 7◦18.9 -17◦56.210 336◦02.5 327◦43.6 2◦08.9 263◦15.6 23◦59.2 10◦57.2 -14◦36.8 22◦21.1 -17◦56.111 351◦04.9 342◦43.2 2◦10.2 278◦16.4 23◦59.3 25◦59.2 -14◦36.6 37◦23.4 -17◦56.112 6◦07.4 357◦42.8 2◦11.5 293◦17.3 23◦59.5 41◦01.1 -14◦36.5 52◦25.6 -17◦56.013 21◦09.8 12◦42.5 2◦12.7 308◦18.1 23◦59.7 56◦03.1 -14◦36.3 67◦27.9 -17◦56.014 36◦12.3 27◦42.1 2◦14.0 323◦18.9 23◦59.9 71◦05.1 -14◦36.2 82◦30.1 -17◦55.915 51◦14.8 42◦41.7 2◦15.2 338◦19.8 24◦00.0 86◦07.0 -14◦36.0 97◦32.4 -17◦55.916 66◦17.2 57◦41.3 2◦16.5 353◦20.6 24◦00.2 101◦09.0 -14◦35.8 112◦34.6 -17◦55.817 81◦19.7 72◦40.9 2◦17.7 8◦21.5 24◦00.4 116◦11.0 -14◦35.7 127◦36.9 -17◦55.718 96◦22.2 87◦40.6 2◦19.0 23◦22.3 24◦00.6 131◦13.0 -14◦35.5 142◦39.2 -17◦55.719 111◦24.6 102◦40.2 2◦20.3 38◦23.2 24◦00.7 146◦14.9 -14◦35.4 157◦41.4 -17◦55.620 126◦27.1 117◦39.8 2◦21.5 53◦24.0 24◦00.9 161◦16.9 -14◦35.2 172◦43.7 -17◦55.621 141◦29.6 132◦39.4 2◦22.8 68◦24.8 24◦01.1 176◦18.9 -14◦35.1 187◦45.9 -17◦55.522 156◦32.0 147◦39.0 2◦24.0 83◦25.7 24◦01.3 191◦20.9 -14◦34.9 202◦48.2 -17◦55.523 171◦34.5 162◦38.7 2◦25.3 98◦26.5 24◦01.4 206◦22.8 -14◦34.7 217◦50.4 -17◦55.4Mer.pass.:11:35 v-0.4 d1.3 m-3.8 v0.8 d0.2 m1.2 v2.0 d0.2 m-1.9 v2.3 d0.1 m0.8

StarsSHA Dec

Alpheratz 357◦38.3 29◦12.2Ankaa 353◦10.7 -42◦11.6

Schedar 349◦35.1 56◦39.1Diphda 348◦50.6 -17◦52.5

Achernar 335◦23.1 -57◦08.0Hamal 327◦55.0 23◦33.6Polaris 315◦49.2 89◦21.3Akamar 315◦14.5 -40◦13.5Menkar 314◦09.6 4◦10.2Mirfak 308◦33.0 49◦56.2

Aldebaran 290◦43.3 16◦33.0Rigel 281◦06.9 -8◦10.9

Capella 280◦26.6 46◦01.3Bellatrix 278◦26.3 6◦22.0Elnath 278◦05.9 28◦37.5Alnilam 275◦40.9 -1◦11.5

Betelgeuse 270◦55.5 7◦24.5Canopus 263◦53.8 -52◦42.8

Sirius 258◦28.8 -16◦44.8Adara 255◦08.2 -29◦00.3

Procyon 244◦53.9 5◦10.3Pollux 243◦20.9 27◦58.5Avior 234◦15.6 -59◦34.9Suhail 222◦48.2 -43◦31.3

Miaplacidus 221◦38.2 -69◦48.4Alphard 217◦50.5 -8◦45.1Regulus 207◦37.4 11◦51.8Dubhe 193◦44.2 61◦38.3

Denebola 182◦27.7 14◦27.2Gienah 175◦46.4 -17◦39.6Acrux 173◦02.8 -63◦12.9

Gacrux 171◦54.4 -57◦13.9Alioth 166◦15.3 55◦50.7Spica 158◦25.2 -11◦16.3Alcaid 152◦54.0 49◦12.4Hadar 148◦39.7 -60◦28.3

Menkent 148◦00.9 -36◦28.4Arcturus 145◦50.3 19◦04.5

Rigil Kent. 139◦44.0 -60◦55.2Zubenelg. 136◦59.2 -16◦07.8Kochab 137◦19.0 74◦03.9

Alphecca 126◦06.2 26◦38.5Antares 112◦19.4 -26◦28.6

Atria 107◦16.3 -69◦03.6Sabik 102◦06.2 -15◦45.0

Shaula 96◦14.5 -37◦07.0Rasalhague 96◦01.4 12◦32.6

Etamin 90◦43.6 51◦28.8Kaus Aust. 83◦36.6 -34◦22.3

Vega 80◦35.4 38◦47.9Nunki 75◦51.7 -26◦16.2Altair 62◦03.2 8◦55.2

Peacock 53◦10.9 -56◦39.9Deneb 49◦28.1 45◦21.0

Enif 33◦42.1 9◦58.1Alnair 27◦37.2 -46◦51.5

Fomalhaut 15◦18.3 -29◦30.7Scheat 13◦48.5 28◦11.6Markab 13◦33.3 15◦18.9

2021/3/2 SHA Mer.passVenus 354◦25.9 12:08Mars 288◦46.9 16:29

Jupiter 35◦23.5 09:23Saturn 46◦30.9 08:38

2021/3/2 SHA Mer.passVenus 353◦17.7 12:09Mars 288◦08.2 16:28

Jupiter 35◦11.5 09:19Saturn 46◦25.8 08:34

2021/3/2 SHA Mer.passVenus 352◦09.5 12:09Mars 287◦29.3 16:27

Jupiter 34◦59.7 09:16Saturn 46◦20.7 08:31

Horizontal paralaxVenus: 0.1Mars: 0.1

58

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2021 March 26 to Mar. 28

h Sun MoonFri GHA Dec GHA ν Dec d HP0 178◦33.7 2◦12.4 31◦43.3 9.3 16◦43.9 -11.5 58.61 193◦33.8 2◦13.4 46◦11.6 9.3 16◦32.4 -11.6 58.62 208◦34.0 2◦14.3 60◦39.9 9.3 16◦20.8 -11.7 58.63 223◦34.2 2◦15.3 75◦08.3 9.3 16◦09.1 -11.8 58.74 238◦34.4 2◦16.3 89◦36.6 9.4 15◦57.2 -11.9 58.75 253◦34.6 2◦17.3 104◦05.0 9.4 15◦45.3 -12.0 58.86 268◦34.8 2◦18.3 118◦33.4 9.4 15◦33.2 -12.1 58.87 283◦35.0 2◦19.2 133◦01.8 9.4 15◦21.1 -12.2 58.88 298◦35.2 2◦20.2 147◦30.3 9.5 15◦08.8 -12.3 58.99 313◦35.4 2◦21.2 161◦58.7 9.5 14◦56.5 -12.4 58.910 328◦35.5 2◦22.2 176◦27.2 9.5 14◦44.0 -12.5 58.911 343◦35.7 2◦23.2 190◦55.7 9.5 14◦31.5 -12.6 59.012 358◦35.9 2◦24.1 205◦24.3 9.5 14◦18.8 -12.7 59.013 13◦36.1 2◦25.1 219◦52.8 9.6 14◦06.1 -12.8 59.014 28◦36.3 2◦26.1 234◦21.4 9.6 13◦53.3 -12.9 59.115 43◦36.5 2◦27.1 248◦50.0 9.6 13◦40.3 -13.0 59.116 58◦36.7 2◦28.1 263◦18.6 9.6 13◦27.3 -13.1 59.117 73◦36.9 2◦29.0 277◦47.2 9.6 13◦14.2 -13.2 59.218 88◦37.1 2◦30.0 292◦15.9 9.7 13◦01.0 -13.3 59.219 103◦37.3 2◦31.0 306◦44.6 9.7 12◦47.7 -13.3 59.320 118◦37.4 2◦32.0 321◦13.3 9.7 12◦34.3 -13.4 59.321 133◦37.6 2◦33.0 335◦42.0 9.7 12◦20.8 -13.5 59.322 148◦37.8 2◦33.9 350◦10.7 9.7 12◦07.2 -13.6 59.423 163◦38.0 2◦34.9 4◦39.4 9.8 11◦53.6 -13.7 59.4

SD.=16.0 d=1.0 S.D.=16.0

Sat GHA Dec GHA ν Dec d HP0 178◦38.2 2◦35.9 19◦08.2 9.8 11◦39.8 -13.8 59.41 193◦38.4 2◦36.9 33◦37.0 9.8 11◦26.0 -13.9 59.52 208◦38.6 2◦37.8 48◦05.8 9.8 11◦12.1 -13.9 59.53 223◦38.8 2◦38.8 62◦34.6 9.8 10◦58.2 -14.0 59.54 238◦39.0 2◦39.8 77◦03.4 9.8 10◦44.1 -14.1 59.65 253◦39.2 2◦40.8 91◦32.2 9.8 10◦30.0 -14.2 59.66 268◦39.3 2◦41.8 106◦01.1 9.9 10◦15.8 -14.2 59.67 283◦39.5 2◦42.7 120◦29.9 9.9 10◦01.5 -14.3 59.68 298◦39.7 2◦43.7 134◦58.8 9.9 9◦47.2 -14.4 59.79 313◦39.9 2◦44.7 149◦27.7 9.9 9◦32.7 -14.5 59.710 328◦40.1 2◦45.7 163◦56.6 9.9 9◦18.3 -14.5 59.711 343◦40.3 2◦46.7 178◦25.5 9.9 9◦03.7 -14.6 59.812 358◦40.5 2◦47.6 192◦54.4 9.9 8◦49.1 -14.7 59.813 13◦40.7 2◦48.6 207◦23.3 9.9 8◦34.4 -14.7 59.814 28◦40.9 2◦49.6 221◦52.3 9.9 8◦19.6 -14.8 59.915 43◦41.0 2◦50.6 236◦21.2 10.0 8◦04.8 -14.8 59.916 58◦41.2 2◦51.5 250◦50.2 10.0 7◦49.9 -14.9 59.917 73◦41.4 2◦52.5 265◦19.1 10.0 7◦35.0 -15.0 59.918 88◦41.6 2◦53.5 279◦48.1 10.0 7◦20.0 -15.0 60.019 103◦41.8 2◦54.5 294◦17.1 10.0 7◦05.0 -15.1 60.020 118◦42.0 2◦55.4 308◦46.1 10.0 6◦49.9 -15.1 60.021 133◦42.2 2◦56.4 323◦15.0 10.0 6◦34.7 -15.2 60.122 148◦42.4 2◦57.4 337◦44.0 10.0 6◦19.5 -15.2 60.123 163◦42.6 2◦58.4 352◦13.0 10.0 6◦04.2 -15.3 60.1

SD.=16.0 d=1.0 S.D.=16.2

Sun GHA Dec GHA ν Dec d HP0 178◦42.8 2◦59.3 6◦42.0 10.0 5◦48.9 -15.3 60.11 193◦42.9 3◦00.3 21◦11.0 10.0 5◦33.6 -15.4 60.22 208◦43.1 3◦01.3 35◦40.0 10.0 5◦18.2 -15.4 60.23 223◦43.3 3◦02.3 50◦09.0 10.0 5◦02.8 -15.5 60.24 238◦43.5 3◦03.3 64◦38.0 10.0 4◦47.3 -15.5 60.25 253◦43.7 3◦04.2 79◦07.0 10.0 4◦31.7 -15.5 60.36 268◦43.9 3◦05.2 93◦36.0 10.0 4◦16.2 -15.6 60.37 283◦44.1 3◦06.2 108◦04.9 10.0 4◦00.6 -15.6 60.38 298◦44.3 3◦07.2 122◦33.9 10.0 3◦45.0 -15.6 60.39 313◦44.5 3◦08.1 137◦02.9 10.0 3◦29.3 -15.7 60.310 328◦44.6 3◦09.1 151◦31.9 10.0 3◦13.6 -15.7 60.411 343◦44.8 3◦10.1 166◦00.8 10.0 2◦57.9 -15.7 60.412 358◦45.0 3◦11.1 180◦29.8 9.9 2◦42.1 -15.8 60.413 13◦45.2 3◦12.0 194◦58.7 9.9 2◦26.3 -15.8 60.414 28◦45.4 3◦13.0 209◦27.7 9.9 2◦10.5 -15.8 60.515 43◦45.6 3◦14.0 223◦56.6 9.9 1◦54.7 -15.8 60.516 58◦45.8 3◦15.0 238◦25.5 9.9 1◦38.8 -15.9 60.517 73◦46.0 3◦15.9 252◦54.4 9.9 1◦23.0 -15.9 60.518 88◦46.2 3◦16.9 267◦23.3 9.9 1◦07.1 -15.9 60.519 103◦46.4 3◦17.9 281◦52.2 9.9 0◦51.2 -15.9 60.520 118◦46.5 3◦18.9 296◦21.0 9.9 0◦35.2 -15.9 60.621 133◦46.7 3◦19.8 310◦49.9 9.8 0◦19.3 -15.9 60.622 148◦46.9 3◦20.8 325◦18.7 9.8 0◦03.4 -15.9 60.623 163◦47.1 3◦21.8 339◦47.5 9.8 -0◦12.6 -16.0 60.6

SD.=16.0 d=1.0 S.D.=16.4

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 02:27 04:10 05:21 18:52 20:04 21:5170 02:56 04:23 05:26 18:47 19:51 21:2068 03:17 04:32 05:30 18:43 19:41 20:5766 03:33 04:40 05:33 18:40 19:32 20:4064 03:46 04:47 05:36 18:37 19:25 20:2762 03:57 04:53 05:38 18:34 19:20 20:1660 04:06 04:58 05:40 18:32 19:14 20:0658 04:14 05:02 05:42 18:30 19:10 19:5956 04:21 05:06 05:43 18:28 19:06 19:5254 04:27 05:09 05:45 18:27 19:03 19:4652 04:32 05:12 05:46 18:26 18:60 19:4050 04:36 05:15 05:47 18:24 18:57 19:3645 04:46 05:20 05:50 18:22 18:51 19:2640 04:53 05:25 05:52 18:19 18:46 19:1935 04:59 05:28 05:54 18:17 18:43 19:1330 05:03 05:31 05:55 18:16 18:40 19:0820 05:10 05:36 05:58 18:13 18:35 19:0110 05:15 05:39 06:00 18:11 18:32 18:560 05:17 05:41 06:02 18:09 18:29 18:53-10 05:19 05:43 06:04 18:07 18:28 18:52-20 05:18 05:44 06:06 18:05 18:27 18:52-30 05:16 05:44 06:08 18:02 18:26 18:54-35 05:14 05:44 06:09 18:01 18:26 18:56-40 05:12 05:43 06:10 17:60 18:27 18:58-45 05:08 05:42 06:11 17:58 18:28 19:02-50 05:03 05:41 06:13 17:57 18:29 19:06-52 05:01 05:40 06:14 17:56 18:29 19:09-54 04:58 05:39 06:15 17:55 18:30 19:11-56 04:55 05:38 06:15 17:54 18:31 19:14-58 04:51 05:37 06:16 17:53 18:32 19:18-60 04:47 05:36 06:17 17:52 18:33 19:22

Moonrise MoonsetLat. Fri Sat Sun Fri Sat Sun72 13:01 15:37 17:59 07:53 07:07 06:3670 13:31 15:49 18:00 07:21 06:52 06:3168 13:53 15:59 18:01 06:57 06:40 06:2666 14:10 16:07 18:02 06:38 06:30 06:2264 14:24 16:14 18:03 06:23 06:22 06:1962 14:36 16:19 18:04 06:11 06:14 06:1760 14:45 16:24 18:04 05:60 06:08 06:1458 14:54 16:29 18:05 05:50 06:02 06:1256 15:01 16:33 18:05 05:42 05:57 06:1054 15:08 16:36 18:06 05:34 05:52 06:0852 15:14 16:39 18:06 05:28 05:48 06:0750 15:19 16:42 18:07 05:22 05:45 06:0545 15:31 16:48 18:07 05:09 05:36 06:0240 15:40 16:54 18:08 04:58 05:29 05:5935 15:48 16:58 18:09 04:48 05:23 05:5730 15:56 17:02 18:09 04:40 05:18 05:5520 16:08 17:09 18:10 04:26 05:09 05:5110 16:18 17:15 18:11 04:13 05:01 05:480 16:28 17:20 18:12 04:01 04:53 05:44-10 16:38 17:26 18:12 03:49 04:45 05:41-20 16:49 17:31 18:13 03:36 04:37 05:38-30 17:01 17:38 18:14 03:21 04:27 05:34-35 17:08 17:42 18:15 03:12 04:21 05:31-40 17:16 17:46 18:15 03:03 04:15 05:29-45 17:25 17:51 18:16 02:51 04:08 05:26-50 17:36 17:57 18:17 02:36 03:58 05:22-52 17:41 17:60 18:17 02:30 03:54 05:20-54 17:46 18:03 18:18 02:22 03:50 05:18-56 17:52 18:06 18:18 02:14 03:44 05:16-58 17:59 18:10 18:19 02:04 03:39 05:14-60 18:07 18:14 18:20 01:53 03:32 05:11

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower26 05:45 05:36 12:05 22:40 10:14 13(93%)27 05:27 05:18 12:05 23:32 11:06 14(97%)28 05:09 05:00 12:05 00:23 11:57 15(100%)

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March 29, 30 ,31 (Mon., Tue., Wed.)Aries Venus Mars Jupiter Saturn

Mon GHA GHA Dec GHA Dec GHA Dec GHA Dec0 186◦36.9 177◦38.3 2◦26.5 113◦27.4 24◦01.6 221◦24.8 -14◦34.6 232◦52.7 -17◦55.41 201◦39.4 192◦37.9 2◦27.8 128◦28.2 24◦01.8 236◦26.8 -14◦34.4 247◦55.0 -17◦55.32 216◦41.9 207◦37.5 2◦29.1 143◦29.1 24◦01.9 251◦28.8 -14◦34.3 262◦57.2 -17◦55.33 231◦44.3 222◦37.2 2◦30.3 158◦29.9 24◦02.1 266◦30.7 -14◦34.1 277◦59.5 -17◦55.24 246◦46.8 237◦36.8 2◦31.6 173◦30.7 24◦02.3 281◦32.7 -14◦34.0 293◦01.7 -17◦55.25 261◦49.3 252◦36.4 2◦32.8 188◦31.6 24◦02.5 296◦34.7 -14◦33.8 308◦04.0 -17◦55.16 276◦51.7 267◦36.0 2◦34.1 203◦32.4 24◦02.6 311◦36.7 -14◦33.6 323◦06.2 -17◦55.17 291◦54.2 282◦35.6 2◦35.3 218◦33.3 24◦02.8 326◦38.6 -14◦33.5 338◦08.5 -17◦55.08 306◦56.7 297◦35.3 2◦36.6 233◦34.1 24◦03.0 341◦40.6 -14◦33.3 353◦10.8 -17◦55.09 321◦59.1 312◦34.9 2◦37.8 248◦34.9 24◦03.1 356◦42.6 -14◦33.2 8◦13.0 -17◦54.910 337◦01.6 327◦34.5 2◦39.1 263◦35.8 24◦03.3 11◦44.6 -14◦33.0 23◦15.3 -17◦54.911 352◦04.1 342◦34.1 2◦40.4 278◦36.6 24◦03.5 26◦46.5 -14◦32.9 38◦17.5 -17◦54.812 7◦06.5 357◦33.8 2◦41.6 293◦37.5 24◦03.7 41◦48.5 -14◦32.7 53◦19.8 -17◦54.813 22◦09.0 12◦33.4 2◦42.9 308◦38.3 24◦03.8 56◦50.5 -14◦32.6 68◦22.1 -17◦54.714 37◦11.4 27◦33.0 2◦44.1 323◦39.1 24◦04.0 71◦52.5 -14◦32.4 83◦24.3 -17◦54.715 52◦13.9 42◦32.6 2◦45.4 338◦40.0 24◦04.2 86◦54.4 -14◦32.2 98◦26.6 -17◦54.616 67◦16.4 57◦32.2 2◦46.6 353◦40.8 24◦04.3 101◦56.4 -14◦32.1 113◦28.8 -17◦54.617 82◦18.8 72◦31.9 2◦47.9 8◦41.7 24◦04.5 116◦58.4 -14◦31.9 128◦31.1 -17◦54.518 97◦21.3 87◦31.5 2◦49.1 23◦42.5 24◦04.7 132◦00.4 -14◦31.8 143◦33.4 -17◦54.519 112◦23.8 102◦31.1 2◦50.4 38◦43.3 24◦04.8 147◦02.3 -14◦31.6 158◦35.6 -17◦54.420 127◦26.2 117◦30.7 2◦51.7 53◦44.2 24◦05.0 162◦04.3 -14◦31.5 173◦37.9 -17◦54.421 142◦28.7 132◦30.3 2◦52.9 68◦45.0 24◦05.2 177◦06.3 -14◦31.3 188◦40.1 -17◦54.322 157◦31.2 147◦30.0 2◦54.2 83◦45.9 24◦05.3 192◦08.3 -14◦31.1 203◦42.4 -17◦54.323 172◦33.6 162◦29.6 2◦55.4 98◦46.7 24◦05.5 207◦10.3 -14◦31.0 218◦44.6 -17◦54.2Mer.pass.:11:31 v-0.4 d1.3 m-3.8 v0.8 d0.2 m1.3 v2.0 d0.2 m-1.9 v2.3 d0.1 m0.8

Tue GHA GHA Dec GHA Dec GHA Dec GHA Dec0 187◦36.1 177◦29.2 2◦56.7 113◦47.5 24◦05.7 222◦12.2 -14◦30.8 233◦46.9 -17◦54.21 202◦38.5 192◦28.8 2◦57.9 128◦48.4 24◦05.8 237◦14.2 -14◦30.7 248◦49.2 -17◦54.12 217◦41.0 207◦28.4 2◦59.2 143◦49.2 24◦06.0 252◦16.2 -14◦30.5 263◦51.4 -17◦54.13 232◦43.5 222◦28.1 3◦00.4 158◦50.1 24◦06.2 267◦18.2 -14◦30.4 278◦53.7 -17◦54.04 247◦45.9 237◦27.7 3◦01.7 173◦50.9 24◦06.3 282◦20.1 -14◦30.2 293◦56.0 -17◦54.05 262◦48.4 252◦27.3 3◦03.0 188◦51.7 24◦06.5 297◦22.1 -14◦30.1 308◦58.2 -17◦53.96 277◦50.9 267◦26.9 3◦04.2 203◦52.6 24◦06.6 312◦24.1 -14◦29.9 324◦00.5 -17◦53.97 292◦53.3 282◦26.5 3◦05.5 218◦53.4 24◦06.8 327◦26.1 -14◦29.7 339◦02.7 -17◦53.88 307◦55.8 297◦26.2 3◦06.7 233◦54.2 24◦07.0 342◦28.1 -14◦29.6 354◦05.0 -17◦53.89 322◦58.3 312◦25.8 3◦08.0 248◦55.1 24◦07.1 357◦30.0 -14◦29.4 9◦07.3 -17◦53.710 338◦00.7 327◦25.4 3◦09.2 263◦55.9 24◦07.3 12◦32.0 -14◦29.3 24◦09.5 -17◦53.711 353◦03.2 342◦25.0 3◦10.5 278◦56.8 24◦07.5 27◦34.0 -14◦29.1 39◦11.8 -17◦53.612 8◦05.7 357◦24.6 3◦11.7 293◦57.6 24◦07.6 42◦36.0 -14◦29.0 54◦14.0 -17◦53.613 23◦08.1 12◦24.3 3◦13.0 308◦58.4 24◦07.8 57◦38.0 -14◦28.8 69◦16.3 -17◦53.514 38◦10.6 27◦23.9 3◦14.2 323◦59.3 24◦08.0 72◦39.9 -14◦28.7 84◦18.6 -17◦53.515 53◦13.0 42◦23.5 3◦15.5 339◦00.1 24◦08.1 87◦41.9 -14◦28.5 99◦20.8 -17◦53.416 68◦15.5 57◦23.1 3◦16.7 354◦00.9 24◦08.3 102◦43.9 -14◦28.3 114◦23.1 -17◦53.417 83◦18.0 72◦22.7 3◦18.0 9◦01.8 24◦08.4 117◦45.9 -14◦28.2 129◦25.4 -17◦53.318 98◦20.4 87◦22.4 3◦19.2 24◦02.6 24◦08.6 132◦47.9 -14◦28.0 144◦27.6 -17◦53.319 113◦22.9 102◦22.0 3◦20.5 39◦03.5 24◦08.8 147◦49.8 -14◦27.9 159◦29.9 -17◦53.220 128◦25.4 117◦21.6 3◦21.8 54◦04.3 24◦08.9 162◦51.8 -14◦27.7 174◦32.1 -17◦53.221 143◦27.8 132◦21.2 3◦23.0 69◦05.1 24◦09.1 177◦53.8 -14◦27.6 189◦34.4 -17◦53.122 158◦30.3 147◦20.8 3◦24.3 84◦06.0 24◦09.2 192◦55.8 -14◦27.4 204◦36.7 -17◦53.123 173◦32.8 162◦20.5 3◦25.5 99◦06.8 24◦09.4 207◦57.8 -14◦27.3 219◦38.9 -17◦53.0Mer.pass.:11:27 v-0.4 d1.3 m-3.8 v0.8 d0.2 m1.3 v2.0 d0.2 m-1.9 v2.3 d0.1 m0.8

Wed GHA GHA Dec GHA Dec GHA Dec GHA Dec0 188◦35.2 177◦20.1 3◦26.8 114◦07.6 24◦09.6 222◦59.7 -14◦27.1 234◦41.2 -17◦53.01 203◦37.7 192◦19.7 3◦28.0 129◦08.5 24◦09.7 238◦01.7 -14◦26.9 249◦43.5 -17◦52.92 218◦40.2 207◦19.3 3◦29.3 144◦09.3 24◦09.9 253◦03.7 -14◦26.8 264◦45.7 -17◦52.93 233◦42.6 222◦18.9 3◦30.5 159◦10.1 24◦10.0 268◦05.7 -14◦26.6 279◦48.0 -17◦52.84 248◦45.1 237◦18.5 3◦31.8 174◦11.0 24◦10.2 283◦07.7 -14◦26.5 294◦50.2 -17◦52.85 263◦47.5 252◦18.2 3◦33.0 189◦11.8 24◦10.3 298◦09.6 -14◦26.3 309◦52.5 -17◦52.76 278◦50.0 267◦17.8 3◦34.3 204◦12.6 24◦10.5 313◦11.6 -14◦26.2 324◦54.8 -17◦52.77 293◦52.5 282◦17.4 3◦35.5 219◦13.5 24◦10.7 328◦13.6 -14◦26.0 339◦57.0 -17◦52.68 308◦54.9 297◦17.0 3◦36.8 234◦14.3 24◦10.8 343◦15.6 -14◦25.9 354◦59.3 -17◦52.69 323◦57.4 312◦16.6 3◦38.0 249◦15.2 24◦11.0 358◦17.6 -14◦25.7 10◦01.6 -17◦52.510 338◦59.9 327◦16.2 3◦39.3 264◦16.0 24◦11.1 13◦19.6 -14◦25.6 25◦03.8 -17◦52.511 354◦02.3 342◦15.9 3◦40.5 279◦16.8 24◦11.3 28◦21.5 -14◦25.4 40◦06.1 -17◦52.412 9◦04.8 357◦15.5 3◦41.8 294◦17.7 24◦11.4 43◦23.5 -14◦25.2 55◦08.4 -17◦52.413 24◦07.3 12◦15.1 3◦43.0 309◦18.5 24◦11.6 58◦25.5 -14◦25.1 70◦10.6 -17◦52.314 39◦09.7 27◦14.7 3◦44.3 324◦19.3 24◦11.8 73◦27.5 -14◦24.9 85◦12.9 -17◦52.315 54◦12.2 42◦14.3 3◦45.5 339◦20.2 24◦11.9 88◦29.5 -14◦24.8 100◦15.2 -17◦52.216 69◦14.6 57◦14.0 3◦46.8 354◦21.0 24◦12.1 103◦31.5 -14◦24.6 115◦17.4 -17◦52.217 84◦17.1 72◦13.6 3◦48.0 9◦21.8 24◦12.2 118◦33.4 -14◦24.5 130◦19.7 -17◦52.118 99◦19.6 87◦13.2 3◦49.3 24◦22.7 24◦12.4 133◦35.4 -14◦24.3 145◦21.9 -17◦52.119 114◦22.0 102◦12.8 3◦50.5 39◦23.5 24◦12.5 148◦37.4 -14◦24.2 160◦24.2 -17◦52.020 129◦24.5 117◦12.4 3◦51.8 54◦24.3 24◦12.7 163◦39.4 -14◦24.0 175◦26.5 -17◦52.021 144◦27.0 132◦12.0 3◦53.0 69◦25.2 24◦12.8 178◦41.4 -14◦23.9 190◦28.7 -17◦51.922 159◦29.4 147◦11.7 3◦54.3 84◦26.0 24◦13.0 193◦43.4 -14◦23.7 205◦31.0 -17◦51.923 174◦31.9 162◦11.3 3◦55.5 99◦26.8 24◦13.1 208◦45.3 -14◦23.5 220◦33.3 -17◦51.8Mer.pass.:11:23 v-0.4 d1.3 m-3.8 v0.8 d0.2 m1.3 v2.0 d0.2 m-1.9 v2.3 d0.0 m0.8

StarsSHA Dec

Alpheratz 357◦38.3 29◦12.2Ankaa 353◦10.7 -42◦11.6

Schedar 349◦35.1 56◦39.1Diphda 348◦50.6 -17◦52.5

Achernar 335◦23.1 -57◦08.0Hamal 327◦55.0 23◦33.6Polaris 315◦50.2 89◦21.3Akamar 315◦14.5 -40◦13.5Menkar 314◦09.6 4◦10.2Mirfak 308◦33.0 49◦56.2

Aldebaran 290◦43.3 16◦33.0Rigel 281◦06.9 -8◦10.9

Capella 280◦26.6 46◦01.3Bellatrix 278◦26.3 6◦22.0Elnath 278◦05.9 28◦37.5Alnilam 275◦40.9 -1◦11.5

Betelgeuse 270◦55.5 7◦24.5Canopus 263◦53.8 -52◦42.8

Sirius 258◦28.8 -16◦44.8Adara 255◦08.2 -29◦00.3

Procyon 244◦53.9 5◦10.3Pollux 243◦20.9 27◦58.5Avior 234◦15.7 -59◦34.9Suhail 222◦48.3 -43◦31.3

Miaplacidus 221◦38.2 -69◦48.4Alphard 217◦50.6 -8◦45.1Regulus 207◦37.4 11◦51.8Dubhe 193◦44.3 61◦38.3

Denebola 182◦27.7 14◦27.2Gienah 175◦46.4 -17◦39.6Acrux 173◦02.8 -63◦13.0

Gacrux 171◦54.4 -57◦13.9Alioth 166◦15.3 55◦50.7Spica 158◦25.2 -11◦16.3Alcaid 152◦54.0 49◦12.4Hadar 148◦39.7 -60◦28.4

Menkent 148◦00.9 -36◦28.4Arcturus 145◦50.3 19◦04.5

Rigil Kent. 139◦43.9 -60◦55.2Zubenelg. 136◦59.2 -16◦07.8Kochab 137◦18.9 74◦04.0

Alphecca 126◦06.2 26◦38.5Antares 112◦19.4 -26◦28.6

Atria 107◦16.2 -69◦03.6Sabik 102◦06.2 -15◦45.0

Shaula 96◦14.5 -37◦07.0Rasalhague 96◦01.4 12◦32.6

Etamin 90◦43.5 51◦28.8Kaus Aust. 83◦36.6 -34◦22.3

Vega 80◦35.3 38◦47.9Nunki 75◦51.6 -26◦16.2Altair 62◦03.1 8◦55.2

Peacock 53◦10.9 -56◦39.9Deneb 49◦28.1 45◦21.0

Enif 33◦42.1 9◦58.1Alnair 27◦37.2 -46◦51.5

Fomalhaut 15◦18.3 -29◦30.7Scheat 13◦48.5 28◦11.6Markab 13◦33.3 15◦18.9

2021/3/2 SHA Mer.passVenus 351◦01.3 12:10Mars 286◦50.4 16:25

Jupiter 34◦47.9 09:13Saturn 46◦15.8 08:27

2021/3/3 SHA Mer.passVenus 349◦53.1 12:10Mars 286◦11.5 16:24

Jupiter 34◦36.1 09:10Saturn 46◦10.8 08:24

2021/3/3 SHA Mer.passVenus 348◦44.8 12:11Mars 285◦32.4 16:23

Jupiter 34◦24.5 09:07Saturn 46◦06.0 08:20

Horizontal paralaxVenus: 0.1Mars: 0.1

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2021 March 29 to Mar. 31

h Sun MoonMon GHA Dec GHA ν Dec d HP0 178◦47.3 3◦22.7 354◦16.3 9.8 -0◦28.6 -16.0 60.61 193◦47.5 3◦23.7 8◦45.1 9.8 -0◦44.5 -16.0 60.62 208◦47.7 3◦24.7 23◦13.9 9.7 -1◦00.5 -16.0 60.73 223◦47.9 3◦25.7 37◦42.6 9.7 -1◦16.5 -16.0 60.74 238◦48.1 3◦26.6 52◦11.3 9.7 -1◦32.4 -16.0 60.75 253◦48.2 3◦27.6 66◦40.0 9.7 -1◦48.4 -16.0 60.76 268◦48.4 3◦28.6 81◦08.7 9.7 -2◦04.4 -16.0 60.77 283◦48.6 3◦29.6 95◦37.3 9.6 -2◦20.3 -16.0 60.78 298◦48.8 3◦30.5 110◦05.9 9.6 -2◦36.3 -15.9 60.79 313◦49.0 3◦31.5 124◦34.5 9.6 -2◦52.2 -15.9 60.710 328◦49.2 3◦32.5 139◦03.1 9.6 -3◦08.2 -15.9 60.811 343◦49.4 3◦33.4 153◦31.6 9.5 -3◦24.1 -15.9 60.812 358◦49.6 3◦34.4 168◦00.1 9.5 -3◦40.0 -15.9 60.813 13◦49.8 3◦35.4 182◦28.6 9.5 -3◦55.9 -15.9 60.814 28◦49.9 3◦36.4 196◦57.1 9.4 -4◦11.7 -15.9 60.815 43◦50.1 3◦37.3 211◦25.5 9.4 -4◦27.6 -15.8 60.816 58◦50.3 3◦38.3 225◦53.9 9.4 -4◦43.4 -15.8 60.817 73◦50.5 3◦39.3 240◦22.2 9.3 -4◦59.2 -15.8 60.818 88◦50.7 3◦40.3 254◦50.6 9.3 -5◦15.0 -15.8 60.819 103◦50.9 3◦41.2 269◦18.8 9.3 -5◦30.8 -15.7 60.820 118◦51.1 3◦42.2 283◦47.1 9.2 -5◦46.5 -15.7 60.821 133◦51.3 3◦43.2 298◦15.3 9.2 -6◦02.2 -15.7 60.822 148◦51.5 3◦44.1 312◦43.5 9.2 -6◦17.8 -15.6 60.823 163◦51.6 3◦45.1 327◦11.6 9.1 -6◦33.4 -15.6 60.8

SD.=16.0 d=1.0 S.D.=16.5

Tue GHA Dec GHA ν Dec d HP0 178◦51.8 3◦46.1 341◦39.7 9.1 -6◦49.0 -15.6 60.81 193◦52.0 3◦47.0 356◦07.8 9.0 -7◦04.6 -15.5 60.82 208◦52.2 3◦48.0 10◦35.8 9.0 -7◦20.1 -15.5 60.93 223◦52.4 3◦49.0 25◦03.8 9.0 -7◦35.5 -15.4 60.94 238◦52.6 3◦50.0 39◦31.8 8.9 -7◦50.9 -15.4 60.95 253◦52.8 3◦50.9 53◦59.7 8.9 -8◦06.3 -15.3 60.96 268◦53.0 3◦51.9 68◦27.5 8.8 -8◦21.6 -15.3 60.97 283◦53.1 3◦52.9 82◦55.3 8.8 -8◦36.9 -15.2 60.98 298◦53.3 3◦53.8 97◦23.1 8.7 -8◦52.1 -15.2 60.99 313◦53.5 3◦54.8 111◦50.8 8.7 -9◦07.3 -15.1 60.910 328◦53.7 3◦55.8 126◦18.5 8.7 -9◦22.4 -15.1 60.911 343◦53.9 3◦56.7 140◦46.1 8.6 -9◦37.4 -15.0 60.812 358◦54.1 3◦57.7 155◦13.7 8.6 -9◦52.4 -15.0 60.813 13◦54.3 3◦58.7 169◦41.2 8.5 -10◦07.3 -14.9 60.814 28◦54.5 3◦59.7 184◦08.7 8.5 -10◦22.2 -14.8 60.815 43◦54.7 4◦00.6 198◦36.2 8.4 -10◦37.0 -14.8 60.816 58◦54.8 4◦01.6 213◦03.6 8.4 -10◦51.7 -14.7 60.817 73◦55.0 4◦02.6 227◦30.9 8.3 -11◦06.4 -14.6 60.818 88◦55.2 4◦03.5 241◦58.2 8.3 -11◦21.0 -14.6 60.819 103◦55.4 4◦04.5 256◦25.4 8.2 -11◦35.5 -14.5 60.820 118◦55.6 4◦05.5 270◦52.6 8.2 -11◦49.9 -14.4 60.821 133◦55.8 4◦06.4 285◦19.7 8.1 -12◦04.3 -14.3 60.822 148◦56.0 4◦07.4 299◦46.8 8.1 -12◦18.6 -14.2 60.823 163◦56.2 4◦08.4 314◦13.9 8.0 -12◦32.8 -14.2 60.8

SD.=16.0 d=1.0 S.D.=16.6

Wed GHA Dec GHA ν Dec d HP0 178◦56.3 4◦09.3 328◦40.8 7.9 -12◦46.9 -14.1 60.81 193◦56.5 4◦10.3 343◦07.8 7.9 -13◦01.0 -14.0 60.82 208◦56.7 4◦11.3 357◦34.6 7.8 -13◦14.9 -13.9 60.83 223◦56.9 4◦12.2 12◦01.4 7.8 -13◦28.8 -13.8 60.84 238◦57.1 4◦13.2 26◦28.2 7.7 -13◦42.6 -13.7 60.75 253◦57.3 4◦14.2 40◦54.9 7.7 -13◦56.3 -13.6 60.76 268◦57.5 4◦15.1 55◦21.5 7.6 -14◦09.9 -13.6 60.77 283◦57.7 4◦16.1 69◦48.1 7.6 -14◦23.4 -13.5 60.78 298◦57.8 4◦17.1 84◦14.7 7.5 -14◦36.8 -13.4 60.79 313◦58.0 4◦18.0 98◦41.2 7.5 -14◦50.1 -13.3 60.710 328◦58.2 4◦19.0 113◦07.6 7.4 -15◦03.3 -13.2 60.711 343◦58.4 4◦20.0 127◦33.9 7.3 -15◦16.4 -13.1 60.712 358◦58.6 4◦20.9 142◦00.3 7.3 -15◦29.4 -13.0 60.613 13◦58.8 4◦21.9 156◦26.5 7.2 -15◦42.3 -12.8 60.614 28◦59.0 4◦22.9 170◦52.7 7.2 -15◦55.1 -12.7 60.615 43◦59.2 4◦23.8 185◦18.8 7.1 -16◦07.8 -12.6 60.616 58◦59.3 4◦24.8 199◦44.9 7.1 -16◦20.4 -12.5 60.617 73◦59.5 4◦25.8 214◦11.0 7.0 -16◦32.8 -12.4 60.618 88◦59.7 4◦26.7 228◦36.9 6.9 -16◦45.2 -12.3 60.619 103◦59.9 4◦27.7 243◦02.8 6.9 -16◦57.4 -12.2 60.520 119◦00.1 4◦28.7 257◦28.7 6.8 -17◦09.6 -12.1 60.521 134◦00.3 4◦29.6 271◦54.5 6.8 -17◦21.6 -11.9 60.522 149◦00.5 4◦30.6 286◦20.2 6.7 -17◦33.5 -11.8 60.523 164◦00.6 4◦31.6 300◦45.9 6.7 -17◦45.2 -11.7 60.5

SD.=16.0 d=1.0 S.D.=16.6

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 01:59 03:52 05:06 19:06 20:20 22:1970 02:35 04:07 05:12 18:59 20:05 21:4068 02:60 04:19 05:17 18:54 19:53 21:1366 03:19 04:28 05:21 18:49 19:43 20:5464 03:33 04:36 05:25 18:46 19:35 20:3862 03:46 04:43 05:28 18:42 19:28 20:2660 03:56 04:48 05:31 18:39 19:22 20:1558 04:04 04:53 05:33 18:37 19:17 20:0656 04:12 04:58 05:36 18:35 19:12 19:5954 04:18 05:02 05:37 18:32 19:08 19:5252 04:24 05:05 05:39 18:31 19:05 19:4650 04:29 05:08 05:41 18:29 19:02 19:4145 04:40 05:15 05:44 18:25 18:55 19:3040 04:48 05:20 05:47 18:22 18:50 19:2235 04:54 05:24 05:50 18:20 18:45 19:1530 04:60 05:28 05:52 18:18 18:42 19:1020 05:07 05:33 05:55 18:14 18:36 19:0210 05:13 05:37 05:58 18:11 18:32 18:560 05:16 05:40 06:01 18:08 18:28 18:52-10 05:18 05:43 06:04 18:05 18:26 18:50-20 05:19 05:45 06:07 18:02 18:24 18:49-30 05:18 05:46 06:10 17:59 18:23 18:50-35 05:17 05:46 06:11 17:57 18:22 18:52-40 05:15 05:46 06:13 17:55 18:22 18:53-45 05:12 05:46 06:15 17:53 18:22 18:56-50 05:08 05:46 06:18 17:50 18:22 18:60-52 05:06 05:45 06:19 17:49 18:22 19:02-54 05:04 05:45 06:20 17:48 18:23 19:04-56 05:01 05:44 06:22 17:46 18:23 19:06-58 04:58 05:44 06:23 17:45 18:24 19:09-60 04:55 05:43 06:25 17:43 18:24 19:13

Moonrise MoonsetLat. Mon Tue Wed Mon Tue Wed72 20:22 22:59 –:– 06:08 05:37 04:5470 20:13 22:34 –:– 06:10 05:49 05:2168 20:05 22:15 –:– 06:13 05:59 05:4266 19:59 22:00 –:– 06:15 06:07 05:5864 19:54 21:48 23:47 06:17 06:14 06:1262 19:49 21:38 23:29 06:18 06:21 06:2460 19:46 21:29 23:14 06:20 06:26 06:3458 19:42 21:22 23:02 06:21 06:31 06:4256 19:39 21:15 22:51 06:22 06:35 06:5054 19:37 21:09 22:42 06:23 06:39 06:5752 19:34 21:04 22:33 06:24 06:42 07:0350 19:32 20:59 22:26 06:25 06:45 07:0945 19:27 20:48 22:10 06:27 06:52 07:2140 19:23 20:40 21:57 06:28 06:58 07:3135 19:20 20:33 21:46 06:29 07:03 07:4030 19:17 20:26 21:36 06:31 07:08 07:4720 19:12 20:15 21:20 06:33 07:15 08:0110 19:08 20:06 21:06 06:34 07:22 08:120 19:04 19:57 20:53 06:36 07:29 08:23-10 18:60 19:48 20:40 06:38 07:35 08:34-20 18:55 19:39 20:26 06:39 07:42 08:46-30 18:51 19:29 20:10 06:41 07:50 08:60-35 18:48 19:23 20:01 06:42 07:54 09:08-40 18:45 19:16 19:51 06:44 07:60 09:17-45 18:41 19:08 19:39 06:45 08:06 09:27-50 18:37 18:59 19:24 06:47 08:13 09:40-52 18:35 18:54 19:17 06:48 08:16 09:46-54 18:33 18:50 19:10 06:49 08:20 09:53-56 18:31 18:45 19:02 06:50 08:24 10:00-58 18:28 18:39 18:52 06:51 08:29 10:09-60 18:25 18:32 18:42 06:52 08:34 10:18

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower29 04:51 04:42 12:04 00:23 12:49 16(99%)30 04:33 04:24 12:04 01:16 13:42 17(96%)31 04:15 04:06 12:04 02:10 14:37 18(89%)

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April 01, 02 ,03 (Thu., Fri., Sat.)Aries Venus Mars Jupiter Saturn

Thu GHA GHA Dec GHA Dec GHA Dec GHA Dec0 189◦34.4 177◦10.9 3◦56.8 114◦27.7 24◦13.3 223◦47.3 -14◦23.4 235◦35.5 -17◦51.81 204◦36.8 192◦10.5 3◦58.0 129◦28.5 24◦13.4 238◦49.3 -14◦23.2 250◦37.8 -17◦51.72 219◦39.3 207◦10.1 3◦59.3 144◦29.3 24◦13.6 253◦51.3 -14◦23.1 265◦40.1 -17◦51.73 234◦41.8 222◦09.7 4◦00.5 159◦30.2 24◦13.7 268◦53.3 -14◦22.9 280◦42.3 -17◦51.64 249◦44.2 237◦09.4 4◦01.8 174◦31.0 24◦13.9 283◦55.3 -14◦22.8 295◦44.6 -17◦51.65 264◦46.7 252◦09.0 4◦03.0 189◦31.8 24◦14.0 298◦57.3 -14◦22.6 310◦46.9 -17◦51.56 279◦49.1 267◦08.6 4◦04.3 204◦32.7 24◦14.2 313◦59.2 -14◦22.5 325◦49.1 -17◦51.57 294◦51.6 282◦08.2 4◦05.5 219◦33.5 24◦14.4 329◦01.2 -14◦22.3 340◦51.4 -17◦51.48 309◦54.1 297◦07.8 4◦06.8 234◦34.3 24◦14.5 344◦03.2 -14◦22.2 355◦53.7 -17◦51.49 324◦56.5 312◦07.4 4◦08.0 249◦35.2 24◦14.7 359◦05.2 -14◦22.0 10◦55.9 -17◦51.310 339◦59.0 327◦07.0 4◦09.3 264◦36.0 24◦14.8 14◦07.2 -14◦21.8 25◦58.2 -17◦51.311 355◦01.5 342◦06.7 4◦10.5 279◦36.8 24◦15.0 29◦09.2 -14◦21.7 41◦00.5 -17◦51.212 10◦03.9 357◦06.3 4◦11.8 294◦37.7 24◦15.1 44◦11.2 -14◦21.5 56◦02.7 -17◦51.213 25◦06.4 12◦05.9 4◦13.0 309◦38.5 24◦15.2 59◦13.1 -14◦21.4 71◦05.0 -17◦51.114 40◦08.9 27◦05.5 4◦14.3 324◦39.3 24◦15.4 74◦15.1 -14◦21.2 86◦07.3 -17◦51.115 55◦11.3 42◦05.1 4◦15.5 339◦40.1 24◦15.5 89◦17.1 -14◦21.1 101◦09.6 -17◦51.016 70◦13.8 57◦04.7 4◦16.7 354◦41.0 24◦15.7 104◦19.1 -14◦20.9 116◦11.8 -17◦51.017 85◦16.3 72◦04.3 4◦18.0 9◦41.8 24◦15.8 119◦21.1 -14◦20.8 131◦14.1 -17◦50.918 100◦18.7 87◦04.0 4◦19.2 24◦42.6 24◦16.0 134◦23.1 -14◦20.6 146◦16.4 -17◦50.919 115◦21.2 102◦03.6 4◦20.5 39◦43.5 24◦16.1 149◦25.1 -14◦20.5 161◦18.6 -17◦50.820 130◦23.6 117◦03.2 4◦21.7 54◦44.3 24◦16.3 164◦27.1 -14◦20.3 176◦20.9 -17◦50.821 145◦26.1 132◦02.8 4◦23.0 69◦45.1 24◦16.4 179◦29.0 -14◦20.2 191◦23.2 -17◦50.822 160◦28.6 147◦02.4 4◦24.2 84◦46.0 24◦16.6 194◦31.0 -14◦20.0 206◦25.4 -17◦50.723 175◦31.0 162◦02.0 4◦25.5 99◦46.8 24◦16.7 209◦33.0 -14◦19.8 221◦27.7 -17◦50.7Mer.pass.:11:19 v-0.4 d1.2 m-3.8 v0.8 d0.2 m1.3 v2.0 d0.2 m-1.9 v2.3 d0.0 m0.8

Fri GHA GHA Dec GHA Dec GHA Dec GHA Dec0 190◦33.5 177◦01.6 4◦26.7 114◦47.6 24◦16.9 224◦35.0 -14◦19.7 236◦30.0 -17◦50.61 205◦36.0 192◦01.3 4◦28.0 129◦48.5 24◦17.0 239◦37.0 -14◦19.5 251◦32.2 -17◦50.62 220◦38.4 207◦00.9 4◦29.2 144◦49.3 24◦17.2 254◦39.0 -14◦19.4 266◦34.5 -17◦50.53 235◦40.9 222◦00.5 4◦30.5 159◦50.1 24◦17.3 269◦41.0 -14◦19.2 281◦36.8 -17◦50.54 250◦43.4 237◦00.1 4◦31.7 174◦50.9 24◦17.4 284◦43.0 -14◦19.1 296◦39.0 -17◦50.45 265◦45.8 251◦59.7 4◦32.9 189◦51.8 24◦17.6 299◦45.0 -14◦18.9 311◦41.3 -17◦50.46 280◦48.3 266◦59.3 4◦34.2 204◦52.6 24◦17.7 314◦46.9 -14◦18.8 326◦43.6 -17◦50.37 295◦50.7 281◦58.9 4◦35.4 219◦53.4 24◦17.9 329◦48.9 -14◦18.6 341◦45.9 -17◦50.38 310◦53.2 296◦58.5 4◦36.7 234◦54.3 24◦18.0 344◦50.9 -14◦18.5 356◦48.1 -17◦50.29 325◦55.7 311◦58.2 4◦37.9 249◦55.1 24◦18.2 359◦52.9 -14◦18.3 11◦50.4 -17◦50.210 340◦58.1 326◦57.8 4◦39.2 264◦55.9 24◦18.3 14◦54.9 -14◦18.2 26◦52.7 -17◦50.111 356◦00.6 341◦57.4 4◦40.4 279◦56.8 24◦18.5 29◦56.9 -14◦18.0 41◦54.9 -17◦50.112 11◦03.1 356◦57.0 4◦41.7 294◦57.6 24◦18.6 44◦58.9 -14◦17.9 56◦57.2 -17◦50.013 26◦05.5 11◦56.6 4◦42.9 309◦58.4 24◦18.7 60◦00.9 -14◦17.7 71◦59.5 -17◦50.014 41◦08.0 26◦56.2 4◦44.1 324◦59.2 24◦18.9 75◦02.9 -14◦17.5 87◦01.8 -17◦49.915 56◦10.5 41◦55.8 4◦45.4 340◦00.1 24◦19.0 90◦04.9 -14◦17.4 102◦04.0 -17◦49.916 71◦12.9 56◦55.4 4◦46.6 355◦00.9 24◦19.2 105◦06.8 -14◦17.2 117◦06.3 -17◦49.817 86◦15.4 71◦55.1 4◦47.9 10◦01.7 24◦19.3 120◦08.8 -14◦17.1 132◦08.6 -17◦49.818 101◦17.9 86◦54.7 4◦49.1 25◦02.6 24◦19.4 135◦10.8 -14◦16.9 147◦10.8 -17◦49.719 116◦20.3 101◦54.3 4◦50.4 40◦03.4 24◦19.6 150◦12.8 -14◦16.8 162◦13.1 -17◦49.720 131◦22.8 116◦53.9 4◦51.6 55◦04.2 24◦19.7 165◦14.8 -14◦16.6 177◦15.4 -17◦49.621 146◦25.2 131◦53.5 4◦52.8 70◦05.0 24◦19.9 180◦16.8 -14◦16.5 192◦17.7 -17◦49.622 161◦27.7 146◦53.1 4◦54.1 85◦05.9 24◦20.0 195◦18.8 -14◦16.3 207◦19.9 -17◦49.623 176◦30.2 161◦52.7 4◦55.3 100◦06.7 24◦20.1 210◦20.8 -14◦16.2 222◦22.2 -17◦49.5Mer.pass.:11:15 v-0.4 d1.2 m-3.8 v0.8 d0.1 m1.3 v2.0 d0.2 m-1.9 v2.3 d0.0 m0.8

Sat GHA GHA Dec GHA Dec GHA Dec GHA Dec0 191◦32.6 176◦52.3 4◦56.6 115◦07.5 24◦20.3 225◦22.8 -14◦16.0 237◦24.5 -17◦49.51 206◦35.1 191◦51.9 4◦57.8 130◦08.4 24◦20.4 240◦24.8 -14◦15.9 252◦26.7 -17◦49.42 221◦37.6 206◦51.6 4◦59.0 145◦09.2 24◦20.6 255◦26.8 -14◦15.7 267◦29.0 -17◦49.43 236◦40.0 221◦51.2 5◦00.3 160◦10.0 24◦20.7 270◦28.8 -14◦15.6 282◦31.3 -17◦49.34 251◦42.5 236◦50.8 5◦01.5 175◦10.8 24◦20.8 285◦30.7 -14◦15.4 297◦33.6 -17◦49.35 266◦45.0 251◦50.4 5◦02.8 190◦11.7 24◦21.0 300◦32.7 -14◦15.3 312◦35.8 -17◦49.26 281◦47.4 266◦50.0 5◦04.0 205◦12.5 24◦21.1 315◦34.7 -14◦15.1 327◦38.1 -17◦49.27 296◦49.9 281◦49.6 5◦05.2 220◦13.3 24◦21.3 330◦36.7 -14◦15.0 342◦40.4 -17◦49.18 311◦52.4 296◦49.2 5◦06.5 235◦14.1 24◦21.4 345◦38.7 -14◦14.8 357◦42.7 -17◦49.19 326◦54.8 311◦48.8 5◦07.7 250◦15.0 24◦21.5 0◦40.7 -14◦14.6 12◦44.9 -17◦49.010 341◦57.3 326◦48.4 5◦09.0 265◦15.8 24◦21.7 15◦42.7 -14◦14.5 27◦47.2 -17◦49.011 356◦59.7 341◦48.0 5◦10.2 280◦16.6 24◦21.8 30◦44.7 -14◦14.3 42◦49.5 -17◦48.912 12◦02.2 356◦47.6 5◦11.4 295◦17.5 24◦21.9 45◦46.7 -14◦14.2 57◦51.7 -17◦48.913 27◦04.7 11◦47.3 5◦12.7 310◦18.3 24◦22.1 60◦48.7 -14◦14.0 72◦54.0 -17◦48.814 42◦07.1 26◦46.9 5◦13.9 325◦19.1 24◦22.2 75◦50.7 -14◦13.9 87◦56.3 -17◦48.815 57◦09.6 41◦46.5 5◦15.2 340◦19.9 24◦22.3 90◦52.7 -14◦13.7 102◦58.6 -17◦48.716 72◦12.1 56◦46.1 5◦16.4 355◦20.8 24◦22.5 105◦54.7 -14◦13.6 118◦00.8 -17◦48.717 87◦14.5 71◦45.7 5◦17.6 10◦21.6 24◦22.6 120◦56.7 -14◦13.4 133◦03.1 -17◦48.718 102◦17.0 86◦45.3 5◦18.9 25◦22.4 24◦22.7 135◦58.7 -14◦13.3 148◦05.4 -17◦48.619 117◦19.5 101◦44.9 5◦20.1 40◦23.2 24◦22.9 151◦00.7 -14◦13.1 163◦07.7 -17◦48.620 132◦21.9 116◦44.5 5◦21.4 55◦24.1 24◦23.0 166◦02.6 -14◦13.0 178◦09.9 -17◦48.521 147◦24.4 131◦44.1 5◦22.6 70◦24.9 24◦23.1 181◦04.6 -14◦12.8 193◦12.2 -17◦48.522 162◦26.9 146◦43.7 5◦23.8 85◦25.7 24◦23.3 196◦06.6 -14◦12.7 208◦14.5 -17◦48.423 177◦29.3 161◦43.3 5◦25.1 100◦26.5 24◦23.4 211◦08.6 -14◦12.5 223◦16.8 -17◦48.4Mer.pass.:11:11 v-0.4 d1.2 m-3.8 v0.8 d0.1 m1.3 v2.0 d0.2 m-1.9 v2.3 d0.0 m0.8

StarsSHA Dec

Alpheratz 357◦38.3 29◦12.2Ankaa 353◦10.7 -42◦11.6

Schedar 349◦35.0 56◦39.0Diphda 348◦50.6 -17◦52.4

Achernar 335◦23.2 -57◦08.0Hamal 327◦55.0 23◦33.6Polaris 315◦50.8 89◦21.3Akamar 315◦14.5 -40◦13.5Menkar 314◦09.6 4◦10.2Mirfak 308◦33.0 49◦56.1

Aldebaran 290◦43.3 16◦33.0Rigel 281◦07.0 -8◦10.9

Capella 280◦26.6 46◦01.3Bellatrix 278◦26.3 6◦22.0Elnath 278◦05.9 28◦37.5Alnilam 275◦41.0 -1◦11.5

Betelgeuse 270◦55.5 7◦24.5Canopus 263◦53.8 -52◦42.8

Sirius 258◦28.9 -16◦44.8Adara 255◦08.3 -29◦00.3

Procyon 244◦53.9 5◦10.3Pollux 243◦20.9 27◦58.5Avior 234◦15.7 -59◦34.9Suhail 222◦48.3 -43◦31.3

Miaplacidus 221◦38.3 -69◦48.5Alphard 217◦50.6 -8◦45.1Regulus 207◦37.4 11◦51.8Dubhe 193◦44.3 61◦38.3

Denebola 182◦27.7 14◦27.2Gienah 175◦46.4 -17◦39.6Acrux 173◦02.7 -63◦13.0

Gacrux 171◦54.4 -57◦13.9Alioth 166◦15.3 55◦50.7Spica 158◦25.2 -11◦16.3Alcaid 152◦54.0 49◦12.4Hadar 148◦39.7 -60◦28.4

Menkent 148◦00.9 -36◦28.4Arcturus 145◦50.3 19◦04.5

Rigil Kent. 139◦43.9 -60◦55.2Zubenelg. 136◦59.1 -16◦07.8Kochab 137◦18.9 74◦04.0

Alphecca 126◦06.1 26◦38.5Antares 112◦19.4 -26◦28.6

Atria 107◦16.2 -69◦03.6Sabik 102◦06.2 -15◦45.0

Shaula 96◦14.4 -37◦07.0Rasalhague 96◦01.3 12◦32.6

Etamin 90◦43.5 51◦28.9Kaus Aust. 83◦36.6 -34◦22.3

Vega 80◦35.3 38◦47.9Nunki 75◦51.6 -26◦16.2Altair 62◦03.1 8◦55.2

Peacock 53◦10.9 -56◦39.8Deneb 49◦28.1 45◦21.0

Enif 33◦42.1 9◦58.1Alnair 27◦37.2 -46◦51.5

Fomalhaut 15◦18.3 -29◦30.7Scheat 13◦48.5 28◦11.6Markab 13◦33.3 15◦18.9

2021/4/1 SHA Mer.passVenus 347◦36.5 12:12Mars 284◦53.3 16:21

Jupiter 34◦13.0 09:04Saturn 46◦01.2 08:16

2021/4/2 SHA Mer.passVenus 346◦28.1 12:12Mars 284◦14.1 16:20

Jupiter 34◦01.5 09:00Saturn 45◦56.5 08:13

2021/4/3 SHA Mer.passVenus 345◦19.7 12:13Mars 283◦34.9 16:19

Jupiter 33◦50.1 08:57Saturn 45◦51.8 08:09

Horizontal paralaxVenus: 0.1Mars: 0.1

62

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2021 April 01 to Apr. 03

h Sun MoonThu GHA Dec GHA ν Dec d HP0 179◦00.8 4◦32.5 315◦11.6 6.6 -17◦56.9 -11.6 60.51 194◦01.0 4◦33.5 329◦37.2 6.6 -18◦08.4 -11.5 60.42 209◦01.2 4◦34.5 344◦02.7 6.5 -18◦19.8 -11.3 60.43 224◦01.4 4◦35.4 358◦28.1 6.4 -18◦31.1 -11.2 60.44 239◦01.6 4◦36.4 12◦53.6 6.4 -18◦42.2 -11.1 60.45 254◦01.8 4◦37.4 27◦18.9 6.3 -18◦53.2 -11.0 60.46 269◦01.9 4◦38.3 41◦44.2 6.3 -19◦04.1 -10.8 60.37 284◦02.1 4◦39.3 56◦09.5 6.2 -19◦14.9 -10.7 60.38 299◦02.3 4◦40.2 70◦34.7 6.2 -19◦25.5 -10.6 60.39 314◦02.5 4◦41.2 84◦59.8 6.1 -19◦36.0 -10.4 60.310 329◦02.7 4◦42.2 99◦24.9 6.1 -19◦46.3 -10.3 60.311 344◦02.9 4◦43.1 113◦50.0 6.0 -19◦56.5 -10.1 60.212 359◦03.1 4◦44.1 128◦15.0 6.0 -20◦06.6 -10.0 60.213 14◦03.2 4◦45.1 142◦39.9 5.9 -20◦16.5 -9.9 60.214 29◦03.4 4◦46.0 157◦04.8 5.9 -20◦26.3 -9.7 60.215 44◦03.6 4◦47.0 171◦29.7 5.8 -20◦36.0 -9.6 60.116 59◦03.8 4◦47.9 185◦54.5 5.8 -20◦45.5 -9.4 60.117 74◦04.0 4◦48.9 200◦19.2 5.7 -20◦54.8 -9.3 60.118 89◦04.2 4◦49.9 214◦43.9 5.7 -21◦04.1 -9.1 60.119 104◦04.4 4◦50.8 229◦08.6 5.6 -21◦13.1 -9.0 60.020 119◦04.5 4◦51.8 243◦33.2 5.6 -21◦22.1 -8.8 60.021 134◦04.7 4◦52.8 257◦57.8 5.6 -21◦30.8 -8.7 60.022 149◦04.9 4◦53.7 272◦22.3 5.5 -21◦39.4 -8.5 60.023 164◦05.1 4◦54.7 286◦46.8 5.5 -21◦47.9 -8.4 59.9

SD.=16.0 d=1.0 S.D.=16.5

Fri GHA Dec GHA ν Dec d HP0 179◦05.3 4◦55.6 301◦11.3 5.4 -21◦56.2 -8.2 59.91 194◦05.5 4◦56.6 315◦35.7 5.4 -22◦04.4 -8.1 59.92 209◦05.7 4◦57.6 330◦00.1 5.4 -22◦12.4 -7.9 59.93 224◦05.8 4◦58.5 344◦24.4 5.3 -22◦20.3 -7.8 59.84 239◦06.0 4◦59.5 358◦48.7 5.3 -22◦28.0 -7.6 59.85 254◦06.2 5◦00.4 13◦13.0 5.3 -22◦35.5 -7.5 59.86 269◦06.4 5◦01.4 27◦37.2 5.2 -22◦42.9 -7.3 59.87 284◦06.6 5◦02.4 42◦01.5 5.2 -22◦50.1 -7.1 59.78 299◦06.8 5◦03.3 56◦25.6 5.2 -22◦57.2 -7.0 59.79 314◦06.9 5◦04.3 70◦49.8 5.1 -23◦04.1 -6.8 59.710 329◦07.1 5◦05.2 85◦13.9 5.1 -23◦10.8 -6.7 59.711 344◦07.3 5◦06.2 99◦38.0 5.1 -23◦17.4 -6.5 59.612 359◦07.5 5◦07.2 114◦02.1 5.1 -23◦23.9 -6.3 59.613 14◦07.7 5◦08.1 128◦26.1 5.0 -23◦30.1 -6.2 59.614 29◦07.9 5◦09.1 142◦50.2 5.0 -23◦36.2 -6.0 59.515 44◦08.1 5◦10.0 157◦14.2 5.0 -23◦42.2 -5.9 59.516 59◦08.2 5◦11.0 171◦38.1 5.0 -23◦47.9 -5.7 59.517 74◦08.4 5◦12.0 186◦02.1 5.0 -23◦53.5 -5.5 59.518 89◦08.6 5◦12.9 200◦26.1 4.9 -23◦59.0 -5.4 59.419 104◦08.8 5◦13.9 214◦50.0 4.9 -24◦04.3 -5.2 59.420 119◦09.0 5◦14.8 229◦13.9 4.9 -24◦09.4 -5.0 59.421 134◦09.2 5◦15.8 243◦37.8 4.9 -24◦14.3 -4.9 59.322 149◦09.3 5◦16.7 258◦01.8 4.9 -24◦19.1 -4.7 59.323 164◦09.5 5◦17.7 272◦25.7 4.9 -24◦23.7 -4.5 59.3

SD.=16.0 d=1.0 S.D.=16.3

Sat GHA Dec GHA ν Dec d HP0 179◦09.7 5◦18.7 286◦49.5 4.9 -24◦28.2 -4.4 59.31 194◦09.9 5◦19.6 301◦13.4 4.9 -24◦32.4 -4.2 59.22 209◦10.1 5◦20.6 315◦37.3 4.9 -24◦36.5 -4.0 59.23 224◦10.3 5◦21.5 330◦01.2 4.9 -24◦40.5 -3.9 59.24 239◦10.4 5◦22.5 344◦25.1 4.9 -24◦44.2 -3.7 59.15 254◦10.6 5◦23.4 358◦49.0 4.9 -24◦47.9 -3.5 59.16 269◦10.8 5◦24.4 13◦12.9 4.9 -24◦51.3 -3.4 59.17 284◦11.0 5◦25.4 27◦36.8 4.9 -24◦54.6 -3.2 59.18 299◦11.2 5◦26.3 42◦00.7 4.9 -24◦57.7 -3.0 59.09 314◦11.4 5◦27.3 56◦24.6 4.9 -25◦00.6 -2.8 59.010 329◦11.5 5◦28.2 70◦48.5 4.9 -25◦03.3 -2.7 59.011 344◦11.7 5◦29.2 85◦12.4 4.9 -25◦05.9 -2.5 58.912 359◦11.9 5◦30.1 99◦36.4 5.0 -25◦08.4 -2.3 58.913 14◦12.1 5◦31.1 114◦00.4 5.0 -25◦10.6 -2.2 58.914 29◦12.3 5◦32.0 128◦24.3 5.0 -25◦12.7 -2.0 58.815 44◦12.5 5◦33.0 142◦48.3 5.0 -25◦14.6 -1.8 58.816 59◦12.6 5◦34.0 157◦12.4 5.0 -25◦16.4 -1.7 58.817 74◦12.8 5◦34.9 171◦36.4 5.1 -25◦18.0 -1.5 58.718 89◦13.0 5◦35.9 186◦00.5 5.1 -25◦19.4 -1.3 58.719 104◦13.2 5◦36.8 200◦24.6 5.1 -25◦20.6 -1.2 58.720 119◦13.4 5◦37.8 214◦48.7 5.1 -25◦21.7 -1.0 58.721 134◦13.5 5◦38.7 229◦12.9 5.2 -25◦22.6 -0.8 58.622 149◦13.7 5◦39.7 243◦37.1 5.2 -25◦23.4 -0.7 58.623 164◦13.9 5◦40.6 258◦01.3 5.2 -25◦24.0 -0.5 58.6

SD.=16.0 d=1.0 S.D.=16.2

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 01:22 03:34 04:50 19:20 20:37 22:5970 02:11 03:51 04:58 19:12 20:19 22:0368 02:41 04:05 05:04 19:05 20:05 21:3066 03:03 04:16 05:10 18:59 19:54 21:0864 03:20 04:25 05:14 18:54 19:45 20:5062 03:34 04:32 05:18 18:50 19:37 20:3660 03:45 04:39 05:22 18:47 19:30 20:2458 03:55 04:45 05:25 18:43 19:24 20:1456 04:03 04:50 05:28 18:41 19:19 20:0654 04:10 04:54 05:30 18:38 19:14 19:5952 04:16 04:58 05:32 18:36 19:10 19:5250 04:22 05:01 05:34 18:34 19:07 19:4645 04:34 05:09 05:39 18:29 18:59 19:3440 04:43 05:15 05:42 18:25 18:53 19:2535 04:50 05:20 05:45 18:22 18:48 19:1830 04:56 05:24 05:48 18:19 18:43 19:1220 05:05 05:31 05:53 18:15 18:37 19:0310 05:11 05:36 05:57 18:11 18:32 18:560 05:15 05:39 06:00 18:07 18:28 18:52-10 05:18 05:43 06:04 18:03 18:24 18:49-20 05:20 05:45 06:07 17:59 18:21 18:47-30 05:20 05:47 06:11 17:55 18:19 18:47-35 05:19 05:48 06:14 17:53 18:18 18:47-40 05:18 05:49 06:16 17:50 18:17 18:49-45 05:16 05:50 06:19 17:47 18:16 18:50-50 05:13 05:50 06:22 17:44 18:16 18:53-52 05:11 05:50 06:24 17:42 18:16 18:55-54 05:09 05:50 06:26 17:40 18:16 18:56-56 05:07 05:50 06:28 17:38 18:15 18:58-58 05:05 05:50 06:30 17:36 18:15 19:01-60 05:02 05:50 06:32 17:34 18:15 19:03

Moonrise MoonsetLat. Thu Fri Sat Thu Fri Sat72 –:– –:– –:– –:– –:– –:–70 01:26 –:– –:– 04:27 –:– –:–68 00:39 –:– –:– 05:15 –:– –:–66 00:09 02:34 –:– 05:47 05:25 –:–64 –:– 01:49 03:50 06:10 06:10 06:1562 –:– 01:20 03:02 06:29 06:40 07:0360 –:– 00:58 02:31 06:45 07:03 07:3458 –:– 00:40 02:08 06:58 07:21 07:5756 –:– 00:25 01:50 07:09 07:37 08:1654 –:– 00:12 01:34 07:19 07:50 08:3252 –:– 00:01 01:20 07:28 08:02 08:4650 23:51 –:– 01:09 07:37 08:12 08:5845 23:30 –:– 00:44 07:54 08:34 09:2340 23:13 –:– 00:25 08:08 08:52 09:4335 22:59 –:– 00:08 08:20 09:07 09:5930 22:46 23:54 –:– 08:31 09:20 10:1420 22:26 23:30 –:– 08:49 09:42 10:3810 22:08 23:10 –:– 09:05 10:01 10:600 21:51 22:51 23:51 09:20 10:19 11:19-10 21:34 22:32 23:31 09:35 10:37 11:39-20 21:16 22:11 23:09 09:51 10:57 12:00-30 20:56 21:48 22:44 10:10 11:19 12:25-35 20:44 21:34 22:30 10:21 11:32 12:39-40 20:31 21:18 22:13 10:33 11:47 12:56-45 20:15 20:59 21:53 10:48 12:06 13:16-50 19:56 20:36 21:28 11:06 12:28 13:41-52 19:47 20:25 21:15 11:15 12:39 13:53-54 19:36 20:12 21:02 11:25 12:51 14:07-56 19:25 19:58 20:45 11:36 13:06 14:23-58 19:12 19:41 20:26 11:48 13:22 14:42-60 18:56 19:20 20:02 12:03 13:42 15:06

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower1 03:57 03:48 12:03 03:06 15:35 19(81%)2 03:39 03:30 12:03 04:04 16:34 20(71%)3 03:21 03:12 12:03 05:04 17:34 21(60%)

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April 04, 05 ,06 (Sun., Mon., Tue.)Aries Venus Mars Jupiter Saturn

Sun GHA GHA Dec GHA Dec GHA Dec GHA Dec0 192◦31.8 176◦42.9 5◦26.3 115◦27.4 24◦23.5 226◦10.6 -14◦12.4 238◦19.0 -17◦48.31 207◦34.2 191◦42.5 5◦27.5 130◦28.2 24◦23.7 241◦12.6 -14◦12.2 253◦21.3 -17◦48.32 222◦36.7 206◦42.2 5◦28.8 145◦29.0 24◦23.8 256◦14.6 -14◦12.1 268◦23.6 -17◦48.23 237◦39.2 221◦41.8 5◦30.0 160◦29.8 24◦23.9 271◦16.6 -14◦11.9 283◦25.9 -17◦48.24 252◦41.6 236◦41.4 5◦31.3 175◦30.7 24◦24.1 286◦18.6 -14◦11.8 298◦28.1 -17◦48.15 267◦44.1 251◦41.0 5◦32.5 190◦31.5 24◦24.2 301◦20.6 -14◦11.6 313◦30.4 -17◦48.16 282◦46.6 266◦40.6 5◦33.7 205◦32.3 24◦24.3 316◦22.6 -14◦11.5 328◦32.7 -17◦48.07 297◦49.0 281◦40.2 5◦35.0 220◦33.1 24◦24.5 331◦24.6 -14◦11.3 343◦35.0 -17◦48.08 312◦51.5 296◦39.8 5◦36.2 235◦34.0 24◦24.6 346◦26.6 -14◦11.2 358◦37.2 -17◦48.09 327◦54.0 311◦39.4 5◦37.4 250◦34.8 24◦24.7 1◦28.6 -14◦11.0 13◦39.5 -17◦47.910 342◦56.4 326◦39.0 5◦38.7 265◦35.6 24◦24.9 16◦30.6 -14◦10.9 28◦41.8 -17◦47.911 357◦58.9 341◦38.6 5◦39.9 280◦36.4 24◦25.0 31◦32.6 -14◦10.7 43◦44.1 -17◦47.812 13◦01.4 356◦38.2 5◦41.1 295◦37.3 24◦25.1 46◦34.6 -14◦10.6 58◦46.4 -17◦47.813 28◦03.8 11◦37.8 5◦42.4 310◦38.1 24◦25.2 61◦36.6 -14◦10.4 73◦48.6 -17◦47.714 43◦06.3 26◦37.4 5◦43.6 325◦38.9 24◦25.4 76◦38.6 -14◦10.2 88◦50.9 -17◦47.715 58◦08.7 41◦37.0 5◦44.8 340◦39.7 24◦25.5 91◦40.6 -14◦10.1 103◦53.2 -17◦47.616 73◦11.2 56◦36.6 5◦46.1 355◦40.6 24◦25.6 106◦42.6 -14◦09.9 118◦55.5 -17◦47.617 88◦13.7 71◦36.2 5◦47.3 10◦41.4 24◦25.8 121◦44.6 -14◦09.8 133◦57.7 -17◦47.518 103◦16.1 86◦35.8 5◦48.5 25◦42.2 24◦25.9 136◦46.6 -14◦09.6 149◦00.0 -17◦47.519 118◦18.6 101◦35.4 5◦49.8 40◦43.0 24◦26.0 151◦48.6 -14◦09.5 164◦02.3 -17◦47.420 133◦21.1 116◦35.0 5◦51.0 55◦43.9 24◦26.1 166◦50.6 -14◦09.3 179◦04.6 -17◦47.421 148◦23.5 131◦34.6 5◦52.2 70◦44.7 24◦26.3 181◦52.6 -14◦09.2 194◦06.9 -17◦47.422 163◦26.0 146◦34.2 5◦53.5 85◦45.5 24◦26.4 196◦54.6 -14◦09.0 209◦09.1 -17◦47.323 178◦28.5 161◦33.8 5◦54.7 100◦46.3 24◦26.5 211◦56.6 -14◦08.9 224◦11.4 -17◦47.3Mer.pass.:11:08 v-0.4 d1.2 m-3.8 v0.8 d0.1 m1.3 v2.0 d0.2 m-1.9 v2.3 d0.0 m0.8

Mon GHA GHA Dec GHA Dec GHA Dec GHA Dec0 193◦30.9 176◦33.5 5◦55.9 115◦47.1 24◦26.6 226◦58.6 -14◦08.7 239◦13.7 -17◦47.21 208◦33.4 191◦33.1 5◦57.2 130◦48.0 24◦26.8 242◦00.6 -14◦08.6 254◦16.0 -17◦47.22 223◦35.8 206◦32.7 5◦58.4 145◦48.8 24◦26.9 257◦02.6 -14◦08.4 269◦18.2 -17◦47.13 238◦38.3 221◦32.3 5◦59.6 160◦49.6 24◦27.0 272◦04.6 -14◦08.3 284◦20.5 -17◦47.14 253◦40.8 236◦31.9 6◦00.9 175◦50.4 24◦27.1 287◦06.6 -14◦08.1 299◦22.8 -17◦47.05 268◦43.2 251◦31.5 6◦02.1 190◦51.3 24◦27.3 302◦08.6 -14◦08.0 314◦25.1 -17◦47.06 283◦45.7 266◦31.1 6◦03.3 205◦52.1 24◦27.4 317◦10.6 -14◦07.8 329◦27.4 -17◦46.97 298◦48.2 281◦30.7 6◦04.6 220◦52.9 24◦27.5 332◦12.6 -14◦07.7 344◦29.6 -17◦46.98 313◦50.6 296◦30.3 6◦05.8 235◦53.7 24◦27.6 347◦14.6 -14◦07.5 359◦31.9 -17◦46.89 328◦53.1 311◦29.9 6◦07.0 250◦54.5 24◦27.8 2◦16.6 -14◦07.4 14◦34.2 -17◦46.810 343◦55.6 326◦29.5 6◦08.2 265◦55.4 24◦27.9 17◦18.6 -14◦07.2 29◦36.5 -17◦46.811 358◦58.0 341◦29.1 6◦09.5 280◦56.2 24◦28.0 32◦20.6 -14◦07.1 44◦38.8 -17◦46.712 14◦00.5 356◦28.7 6◦10.7 295◦57.0 24◦28.1 47◦22.6 -14◦06.9 59◦41.0 -17◦46.713 29◦03.0 11◦28.3 6◦11.9 310◦57.8 24◦28.3 62◦24.6 -14◦06.8 74◦43.3 -17◦46.614 44◦05.4 26◦27.9 6◦13.2 325◦58.7 24◦28.4 77◦26.6 -14◦06.6 89◦45.6 -17◦46.615 59◦07.9 41◦27.5 6◦14.4 340◦59.5 24◦28.5 92◦28.6 -14◦06.5 104◦47.9 -17◦46.516 74◦10.3 56◦27.1 6◦15.6 356◦00.3 24◦28.6 107◦30.6 -14◦06.3 119◦50.2 -17◦46.517 89◦12.8 71◦26.7 6◦16.8 11◦01.1 24◦28.7 122◦32.6 -14◦06.2 134◦52.4 -17◦46.418 104◦15.3 86◦26.3 6◦18.1 26◦01.9 24◦28.9 137◦34.6 -14◦06.0 149◦54.7 -17◦46.419 119◦17.7 101◦25.9 6◦19.3 41◦02.8 24◦29.0 152◦36.6 -14◦05.9 164◦57.0 -17◦46.320 134◦20.2 116◦25.5 6◦20.5 56◦03.6 24◦29.1 167◦38.6 -14◦05.7 179◦59.3 -17◦46.321 149◦22.7 131◦25.1 6◦21.8 71◦04.4 24◦29.2 182◦40.6 -14◦05.6 195◦01.6 -17◦46.322 164◦25.1 146◦24.7 6◦23.0 86◦05.2 24◦29.3 197◦42.6 -14◦05.4 210◦03.9 -17◦46.223 179◦27.6 161◦24.3 6◦24.2 101◦06.0 24◦29.5 212◦44.6 -14◦05.3 225◦06.1 -17◦46.2Mer.pass.:11:04 v-0.4 d1.2 m-3.8 v0.8 d0.1 m1.3 v2.0 d0.2 m-1.9 v2.3 d0.0 m0.8

Tue GHA GHA Dec GHA Dec GHA Dec GHA Dec0 194◦30.1 176◦23.9 6◦25.4 116◦06.9 24◦29.6 227◦46.6 -14◦05.1 240◦08.4 -17◦46.11 209◦32.5 191◦23.5 6◦26.7 131◦07.7 24◦29.7 242◦48.6 -14◦05.0 255◦10.7 -17◦46.12 224◦35.0 206◦23.1 6◦27.9 146◦08.5 24◦29.8 257◦50.6 -14◦04.8 270◦13.0 -17◦46.03 239◦37.5 221◦22.7 6◦29.1 161◦09.3 24◦29.9 272◦52.6 -14◦04.7 285◦15.3 -17◦46.04 254◦39.9 236◦22.3 6◦30.3 176◦10.1 24◦30.0 287◦54.6 -14◦04.5 300◦17.5 -17◦45.95 269◦42.4 251◦21.9 6◦31.6 191◦11.0 24◦30.2 302◦56.6 -14◦04.4 315◦19.8 -17◦45.96 284◦44.8 266◦21.5 6◦32.8 206◦11.8 24◦30.3 317◦58.6 -14◦04.2 330◦22.1 -17◦45.97 299◦47.3 281◦21.0 6◦34.0 221◦12.6 24◦30.4 333◦00.6 -14◦04.1 345◦24.4 -17◦45.88 314◦49.8 296◦20.6 6◦35.2 236◦13.4 24◦30.5 348◦02.6 -14◦03.9 0◦26.7 -17◦45.89 329◦52.2 311◦20.2 6◦36.5 251◦14.2 24◦30.6 3◦04.7 -14◦03.8 15◦29.0 -17◦45.710 344◦54.7 326◦19.8 6◦37.7 266◦15.1 24◦30.7 18◦06.7 -14◦03.6 30◦31.2 -17◦45.711 359◦57.2 341◦19.4 6◦38.9 281◦15.9 24◦30.9 33◦08.7 -14◦03.5 45◦33.5 -17◦45.612 14◦59.6 356◦19.0 6◦40.1 296◦16.7 24◦31.0 48◦10.7 -14◦03.3 60◦35.8 -17◦45.613 30◦02.1 11◦18.6 6◦41.4 311◦17.5 24◦31.1 63◦12.7 -14◦03.2 75◦38.1 -17◦45.514 45◦04.6 26◦18.2 6◦42.6 326◦18.3 24◦31.2 78◦14.7 -14◦03.0 90◦40.4 -17◦45.515 60◦07.0 41◦17.8 6◦43.8 341◦19.2 24◦31.3 93◦16.7 -14◦02.9 105◦42.7 -17◦45.516 75◦09.5 56◦17.4 6◦45.0 356◦20.0 24◦31.4 108◦18.7 -14◦02.7 120◦44.9 -17◦45.417 90◦12.0 71◦17.0 6◦46.2 11◦20.8 24◦31.6 123◦20.7 -14◦02.6 135◦47.2 -17◦45.418 105◦14.4 86◦16.6 6◦47.5 26◦21.6 24◦31.7 138◦22.7 -14◦02.4 150◦49.5 -17◦45.319 120◦16.9 101◦16.2 6◦48.7 41◦22.4 24◦31.8 153◦24.7 -14◦02.3 165◦51.8 -17◦45.320 135◦19.3 116◦15.8 6◦49.9 56◦23.3 24◦31.9 168◦26.7 -14◦02.1 180◦54.1 -17◦45.221 150◦21.8 131◦15.4 6◦51.1 71◦24.1 24◦32.0 183◦28.7 -14◦02.0 195◦56.4 -17◦45.222 165◦24.3 146◦15.0 6◦52.4 86◦24.9 24◦32.1 198◦30.7 -14◦01.8 210◦58.6 -17◦45.123 180◦26.7 161◦14.6 6◦53.6 101◦25.7 24◦32.2 213◦32.7 -14◦01.7 226◦00.9 -17◦45.1Mer.pass.:11:00 v-0.4 d1.2 m-3.8 v0.8 d0.1 m1.4 v2.0 d0.1 m-1.9 v2.3 d0.0 m0.8

StarsSHA Dec

Alpheratz 357◦38.3 29◦12.2Ankaa 353◦10.6 -42◦11.6

Schedar 349◦35.0 56◦39.0Diphda 348◦50.6 -17◦52.4

Achernar 335◦23.2 -57◦08.0Hamal 327◦55.0 23◦33.6Polaris 315◦51.4 89◦21.3Akamar 315◦14.5 -40◦13.5Menkar 314◦09.6 4◦10.2Mirfak 308◦33.0 49◦56.1

Aldebaran 290◦43.3 16◦33.0Rigel 281◦07.0 -8◦10.9

Capella 280◦26.6 46◦01.3Bellatrix 278◦26.3 6◦22.0Elnath 278◦05.9 28◦37.5Alnilam 275◦41.0 -1◦11.5

Betelgeuse 270◦55.5 7◦24.5Canopus 263◦53.8 -52◦42.8

Sirius 258◦28.9 -16◦44.8Adara 255◦08.3 -29◦00.3

Procyon 244◦53.9 5◦10.3Pollux 243◦20.9 27◦58.5Avior 234◦15.7 -59◦34.9Suhail 222◦48.3 -43◦31.3

Miaplacidus 221◦38.3 -69◦48.5Alphard 217◦50.6 -8◦45.2Regulus 207◦37.4 11◦51.8Dubhe 193◦44.3 61◦38.4

Denebola 182◦27.7 14◦27.2Gienah 175◦46.4 -17◦39.6Acrux 173◦02.7 -63◦13.0

Gacrux 171◦54.4 -57◦13.9Alioth 166◦15.2 55◦50.7Spica 158◦25.2 -11◦16.3Alcaid 152◦54.0 49◦12.4Hadar 148◦39.7 -60◦28.4

Menkent 148◦00.9 -36◦28.4Arcturus 145◦50.3 19◦04.5

Rigil Kent. 139◦43.9 -60◦55.2Zubenelg. 136◦59.1 -16◦07.8Kochab 137◦18.9 74◦04.0

Alphecca 126◦06.1 26◦38.5Antares 112◦19.4 -26◦28.7

Atria 107◦16.1 -69◦03.6Sabik 102◦06.2 -15◦45.0

Shaula 96◦14.4 -37◦07.0Rasalhague 96◦01.3 12◦32.6

Etamin 90◦43.5 51◦28.9Kaus Aust. 83◦36.5 -34◦22.3

Vega 80◦35.3 38◦47.9Nunki 75◦51.6 -26◦16.2Altair 62◦03.1 8◦55.2

Peacock 53◦10.8 -56◦39.8Deneb 49◦28.0 45◦21.0

Enif 33◦42.0 9◦58.1Alnair 27◦37.2 -46◦51.5

Fomalhaut 15◦18.3 -29◦30.7Scheat 13◦48.5 28◦11.6Markab 13◦33.2 15◦18.9

2021/4/4 SHA Mer.passVenus 344◦11.2 12:13Mars 282◦55.6 16:17

Jupiter 33◦38.8 08:54Saturn 45◦47.3 08:06

2021/4/5 SHA Mer.passVenus 343◦02.5 12:14Mars 282◦16.2 16:16

Jupiter 33◦27.7 08:51Saturn 45◦42.8 08:02

2021/4/6 SHA Mer.passVenus 341◦53.8 12:15Mars 281◦36.8 16:15

Jupiter 33◦16.6 08:48Saturn 45◦38.4 07:58

Horizontal paralaxVenus: 0.1Mars: 0.1

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2021 April 04 to Apr. 06

h Sun MoonSun GHA Dec GHA ν Dec d HP0 179◦14.1 5◦41.6 272◦25.6 5.3 -25◦24.4 -0.3 58.51 194◦14.3 5◦42.5 286◦49.9 5.3 -25◦24.6 -0.2 58.52 209◦14.5 5◦43.5 301◦14.2 5.4 -25◦24.7 -0.0 58.53 224◦14.6 5◦44.4 315◦38.6 5.4 -25◦24.7 0.2 58.44 239◦14.8 5◦45.4 330◦03.0 5.4 -25◦24.4 0.3 58.45 254◦15.0 5◦46.4 344◦27.5 5.5 -25◦24.0 0.5 58.46 269◦15.2 5◦47.3 358◦52.0 5.5 -25◦23.5 0.6 58.37 284◦15.4 5◦48.3 13◦16.5 5.6 -25◦22.8 0.8 58.38 299◦15.5 5◦49.2 27◦41.1 5.6 -25◦21.9 1.0 58.39 314◦15.7 5◦50.2 42◦05.8 5.7 -25◦20.8 1.1 58.310 329◦15.9 5◦51.1 56◦30.5 5.7 -25◦19.6 1.3 58.211 344◦16.1 5◦52.1 70◦55.2 5.8 -25◦18.3 1.4 58.212 359◦16.3 5◦53.0 85◦20.1 5.8 -25◦16.8 1.6 58.213 14◦16.4 5◦54.0 99◦44.9 5.9 -25◦15.1 1.8 58.114 29◦16.6 5◦54.9 114◦09.9 6.0 -25◦13.2 1.9 58.115 44◦16.8 5◦55.9 128◦34.8 6.0 -25◦11.3 2.1 58.116 59◦17.0 5◦56.8 142◦59.9 6.1 -25◦09.1 2.2 58.017 74◦17.2 5◦57.8 157◦25.0 6.1 -25◦06.8 2.4 58.018 89◦17.3 5◦58.7 171◦50.2 6.2 -25◦04.4 2.5 58.019 104◦17.5 5◦59.7 186◦15.4 6.3 -25◦01.8 2.7 58.020 119◦17.7 6◦00.6 200◦40.7 6.3 -24◦59.0 2.8 57.921 134◦17.9 6◦01.6 215◦06.1 6.4 -24◦56.1 3.0 57.922 149◦18.1 6◦02.5 229◦31.5 6.5 -24◦53.1 3.1 57.923 164◦18.2 6◦03.5 243◦57.0 6.5 -24◦49.8 3.3 57.8

SD.=16.0 d=1.0 S.D.=16.0

Mon GHA Dec GHA ν Dec d HP0 179◦18.4 6◦04.4 258◦22.6 6.6 -24◦46.5 3.4 57.81 194◦18.6 6◦05.4 272◦48.2 6.7 -24◦43.0 3.6 57.82 209◦18.8 6◦06.3 287◦13.9 6.8 -24◦39.4 3.7 57.73 224◦19.0 6◦07.3 301◦39.7 6.8 -24◦35.6 3.9 57.74 239◦19.1 6◦08.2 316◦05.6 6.9 -24◦31.6 4.0 57.75 254◦19.3 6◦09.2 330◦31.5 7.0 -24◦27.6 4.1 57.76 269◦19.5 6◦10.1 344◦57.6 7.1 -24◦23.3 4.3 57.67 284◦19.7 6◦11.1 359◦23.7 7.1 -24◦19.0 4.4 57.68 299◦19.9 6◦12.0 13◦49.8 7.2 -24◦14.5 4.6 57.69 314◦20.0 6◦13.0 28◦16.1 7.3 -24◦09.8 4.7 57.510 329◦20.2 6◦13.9 42◦42.4 7.4 -24◦05.1 4.8 57.511 344◦20.4 6◦14.9 57◦08.8 7.5 -24◦00.2 5.0 57.512 359◦20.6 6◦15.8 71◦35.3 7.5 -23◦55.1 5.1 57.413 14◦20.7 6◦16.7 86◦01.9 7.6 -23◦49.9 5.2 57.414 29◦20.9 6◦17.7 100◦28.6 7.7 -23◦44.6 5.4 57.415 44◦21.1 6◦18.6 114◦55.3 7.8 -23◦39.2 5.5 57.416 59◦21.3 6◦19.6 129◦22.2 7.9 -23◦33.6 5.6 57.317 74◦21.5 6◦20.5 143◦49.1 8.0 -23◦27.9 5.8 57.318 89◦21.6 6◦21.5 158◦16.1 8.0 -23◦22.1 5.9 57.319 104◦21.8 6◦22.4 172◦43.2 8.1 -23◦16.1 6.0 57.220 119◦22.0 6◦23.4 187◦10.3 8.2 -23◦10.0 6.2 57.221 134◦22.2 6◦24.3 201◦37.6 8.3 -23◦03.8 6.3 57.222 149◦22.3 6◦25.3 216◦04.9 8.4 -22◦57.5 6.4 57.223 164◦22.5 6◦26.2 230◦32.4 8.5 -22◦51.0 6.5 57.1

SD.=16.0 d=0.9 S.D.=15.8

Tue GHA Dec GHA ν Dec d HP0 179◦22.7 6◦27.2 244◦59.9 8.6 -22◦44.4 6.6 57.11 194◦22.9 6◦28.1 259◦27.5 8.7 -22◦37.7 6.8 57.12 209◦23.1 6◦29.0 273◦55.2 8.8 -22◦30.9 6.9 57.03 224◦23.2 6◦30.0 288◦23.0 8.8 -22◦24.0 7.0 57.04 239◦23.4 6◦30.9 302◦50.9 8.9 -22◦16.9 7.1 57.05 254◦23.6 6◦31.9 317◦18.9 9.0 -22◦09.7 7.2 57.06 269◦23.8 6◦32.8 331◦47.0 9.1 -22◦02.5 7.3 56.97 284◦23.9 6◦33.8 346◦15.1 9.2 -21◦55.1 7.5 56.98 299◦24.1 6◦34.7 0◦43.4 9.3 -21◦47.5 7.6 56.99 314◦24.3 6◦35.6 15◦11.7 9.4 -21◦39.9 7.7 56.910 329◦24.5 6◦36.6 29◦40.1 9.5 -21◦32.2 7.8 56.811 344◦24.7 6◦37.5 44◦08.6 9.6 -21◦24.4 7.9 56.812 359◦24.8 6◦38.5 58◦37.3 9.7 -21◦16.4 8.0 56.813 14◦25.0 6◦39.4 73◦06.0 9.7 -21◦08.4 8.1 56.714 29◦25.2 6◦40.4 87◦34.7 9.8 -21◦00.2 8.2 56.715 44◦25.4 6◦41.3 102◦03.6 9.9 -20◦52.0 8.3 56.716 59◦25.5 6◦42.2 116◦32.6 10.0 -20◦43.6 8.4 56.717 74◦25.7 6◦43.2 131◦01.7 10.1 -20◦35.1 8.5 56.618 89◦25.9 6◦44.1 145◦30.8 10.2 -20◦26.6 8.6 56.619 104◦26.1 6◦45.1 160◦00.1 10.3 -20◦17.9 8.7 56.620 119◦26.2 6◦46.0 174◦29.4 10.4 -20◦09.2 8.8 56.621 134◦26.4 6◦47.0 188◦58.8 10.5 -20◦00.3 8.9 56.522 149◦26.6 6◦47.9 203◦28.3 10.6 -19◦51.4 9.0 56.523 164◦26.8 6◦48.8 217◦57.9 10.6 -19◦42.3 9.1 56.5

SD.=16.0 d=0.9 S.D.=15.6

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 –:– 03:14 04:34 19:35 20:56 –:–70 01:44 03:35 04:44 19:24 20:34 22:3168 02:21 03:50 04:52 19:16 20:18 21:5066 02:47 04:03 04:58 19:09 20:05 21:2364 03:06 04:13 05:04 19:03 19:55 21:0362 03:21 04:22 05:09 18:58 19:46 20:4760 03:34 04:29 05:13 18:54 19:38 20:3458 03:45 04:36 05:17 18:50 19:31 20:2356 03:54 04:41 05:20 18:47 19:25 20:1354 04:02 04:46 05:23 18:44 19:20 20:0552 04:09 04:51 05:25 18:41 19:16 19:5850 04:15 04:55 05:28 18:38 19:12 19:5245 04:28 05:03 05:33 18:33 19:03 19:3940 04:38 05:10 05:38 18:28 18:56 19:2935 04:45 05:16 05:41 18:25 18:50 19:2030 04:52 05:20 05:45 18:21 18:45 19:1420 05:02 05:28 05:50 18:15 18:38 19:0410 05:09 05:34 05:55 18:10 18:32 18:560 05:14 05:39 05:59 18:06 18:27 18:51-10 05:18 05:43 06:04 18:01 18:23 18:47-20 05:20 05:46 06:08 17:57 18:19 18:44-30 05:21 05:49 06:13 17:52 18:16 18:43-35 05:21 05:51 06:16 17:49 18:14 18:43-40 05:21 05:52 06:19 17:45 18:13 18:44-45 05:19 05:53 06:23 17:42 18:11 18:45-50 05:17 05:55 06:27 17:37 18:10 18:47-52 05:16 05:55 06:29 17:35 18:09 18:48-54 05:15 05:56 06:31 17:33 18:08 18:49-56 05:13 05:56 06:34 17:31 18:08 18:51-58 05:11 05:57 06:36 17:28 18:07 18:52-60 05:09 05:57 06:39 17:25 18:07 18:55

Moonrise MoonsetLat. Sun Mon Tue Sun Mon Tue72 –:– –:– –:– –:– –:– –:–70 –:– –:– –:– –:– –:– –:–68 –:– –:– 07:41 –:– –:– 08:2566 –:– –:– 06:17 –:– –:– 09:4864 05:16 05:37 05:39 06:54 08:34 10:2562 04:17 04:55 05:13 07:54 09:15 10:5160 03:43 04:27 04:52 08:28 09:44 11:1258 03:18 04:05 04:34 08:52 10:05 11:2856 02:58 03:47 04:20 09:12 10:23 11:4254 02:41 03:32 04:07 09:29 10:38 11:5552 02:27 03:18 03:56 09:43 10:51 12:0550 02:15 03:07 03:46 09:55 11:02 12:1545 01:49 02:43 03:25 10:21 11:26 12:3540 01:29 02:23 03:08 10:41 11:45 12:5135 01:12 02:07 02:54 10:58 12:01 13:0430 00:57 01:53 02:42 11:13 12:14 13:1620 00:32 01:29 02:20 11:38 12:37 13:3610 00:11 01:08 02:02 11:59 12:57 13:530 –:– 00:49 01:44 12:19 13:16 14:09-10 –:– 00:30 01:27 12:39 13:34 14:26-20 –:– 00:09 01:08 12:60 13:54 14:43-30 23:45 –:– 00:47 13:24 14:17 15:02-35 23:31 –:– 00:34 13:39 14:30 15:13-40 23:14 –:– 00:19 13:55 14:45 15:26-45 22:55 –:– 00:02 14:15 15:03 15:42-50 22:30 23:40 –:– 14:40 15:26 16:00-52 22:18 23:30 –:– 14:52 15:37 16:09-54 22:05 23:18 –:– 15:06 15:49 16:19-56 21:49 23:05 –:– 15:22 16:02 16:30-58 21:30 22:49 –:– 15:41 16:18 16:42-60 21:07 22:30 23:60 16:04 16:38 16:57

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower4 03:04 02:55 12:02 06:04 18:33 22(49%)5 02:46 02:38 12:02 07:02 19:30 23(38%)6 02:29 02:21 12:02 07:57 20:22 24(29%)

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April 07, 08 ,09 (Wed., Thu., Fri.)Aries Venus Mars Jupiter Saturn

Wed GHA GHA Dec GHA Dec GHA Dec GHA Dec0 195◦29.2 176◦14.2 6◦54.8 116◦26.5 24◦32.3 228◦34.7 -14◦01.6 241◦03.2 -17◦45.11 210◦31.7 191◦13.8 6◦56.0 131◦27.3 24◦32.5 243◦36.8 -14◦01.4 256◦05.5 -17◦45.02 225◦34.1 206◦13.4 6◦57.2 146◦28.2 24◦32.6 258◦38.8 -14◦01.3 271◦07.8 -17◦45.03 240◦36.6 221◦12.9 6◦58.5 161◦29.0 24◦32.7 273◦40.8 -14◦01.1 286◦10.1 -17◦44.94 255◦39.1 236◦12.5 6◦59.7 176◦29.8 24◦32.8 288◦42.8 -14◦01.0 301◦12.4 -17◦44.95 270◦41.5 251◦12.1 7◦00.9 191◦30.6 24◦32.9 303◦44.8 -14◦00.8 316◦14.6 -17◦44.86 285◦44.0 266◦11.7 7◦02.1 206◦31.4 24◦33.0 318◦46.8 -14◦00.7 331◦16.9 -17◦44.87 300◦46.4 281◦11.3 7◦03.3 221◦32.2 24◦33.1 333◦48.8 -14◦00.5 346◦19.2 -17◦44.78 315◦48.9 296◦10.9 7◦04.5 236◦33.1 24◦33.2 348◦50.8 -14◦00.4 1◦21.5 -17◦44.79 330◦51.4 311◦10.5 7◦05.8 251◦33.9 24◦33.3 3◦52.8 -14◦00.2 16◦23.8 -17◦44.710 345◦53.8 326◦10.1 7◦07.0 266◦34.7 24◦33.5 18◦54.8 -14◦00.1 31◦26.1 -17◦44.611 0◦56.3 341◦09.7 7◦08.2 281◦35.5 24◦33.6 33◦56.8 -13◦59.9 46◦28.4 -17◦44.612 15◦58.8 356◦09.3 7◦09.4 296◦36.3 24◦33.7 48◦58.8 -13◦59.8 61◦30.6 -17◦44.513 31◦01.2 11◦08.9 7◦10.6 311◦37.1 24◦33.8 64◦00.9 -13◦59.6 76◦32.9 -17◦44.514 46◦03.7 26◦08.5 7◦11.8 326◦38.0 24◦33.9 79◦02.9 -13◦59.5 91◦35.2 -17◦44.415 61◦06.2 41◦08.0 7◦13.1 341◦38.8 24◦34.0 94◦04.9 -13◦59.3 106◦37.5 -17◦44.416 76◦08.6 56◦07.6 7◦14.3 356◦39.6 24◦34.1 109◦06.9 -13◦59.2 121◦39.8 -17◦44.417 91◦11.1 71◦07.2 7◦15.5 11◦40.4 24◦34.2 124◦08.9 -13◦59.0 136◦42.1 -17◦44.318 106◦13.6 86◦06.8 7◦16.7 26◦41.2 24◦34.3 139◦10.9 -13◦58.9 151◦44.4 -17◦44.319 121◦16.0 101◦06.4 7◦17.9 41◦42.0 24◦34.4 154◦12.9 -13◦58.7 166◦46.7 -17◦44.220 136◦18.5 116◦06.0 7◦19.1 56◦42.9 24◦34.5 169◦14.9 -13◦58.6 181◦48.9 -17◦44.221 151◦20.9 131◦05.6 7◦20.4 71◦43.7 24◦34.6 184◦16.9 -13◦58.4 196◦51.2 -17◦44.122 166◦23.4 146◦05.2 7◦21.6 86◦44.5 24◦34.7 199◦19.0 -13◦58.3 211◦53.5 -17◦44.123 181◦25.9 161◦04.8 7◦22.8 101◦45.3 24◦34.8 214◦21.0 -13◦58.1 226◦55.8 -17◦44.0Mer.pass.:10:56 v-0.4 d1.2 m-3.8 v0.8 d0.1 m1.4 v2.0 d0.1 m-1.9 v2.3 d0.0 m0.8

Thu GHA GHA Dec GHA Dec GHA Dec GHA Dec0 196◦28.3 176◦04.3 7◦24.0 116◦46.1 24◦35.0 229◦23.0 -13◦58.0 241◦58.1 -17◦44.01 211◦30.8 191◦03.9 7◦25.2 131◦46.9 24◦35.1 244◦25.0 -13◦57.8 257◦00.4 -17◦44.02 226◦33.3 206◦03.5 7◦26.4 146◦47.8 24◦35.2 259◦27.0 -13◦57.7 272◦02.7 -17◦43.93 241◦35.7 221◦03.1 7◦27.6 161◦48.6 24◦35.3 274◦29.0 -13◦57.6 287◦05.0 -17◦43.94 256◦38.2 236◦02.7 7◦28.8 176◦49.4 24◦35.4 289◦31.0 -13◦57.4 302◦07.3 -17◦43.85 271◦40.7 251◦02.3 7◦30.1 191◦50.2 24◦35.5 304◦33.0 -13◦57.3 317◦09.5 -17◦43.86 286◦43.1 266◦01.9 7◦31.3 206◦51.0 24◦35.6 319◦35.0 -13◦57.1 332◦11.8 -17◦43.77 301◦45.6 281◦01.5 7◦32.5 221◦51.8 24◦35.7 334◦37.1 -13◦57.0 347◦14.1 -17◦43.78 316◦48.0 296◦01.0 7◦33.7 236◦52.7 24◦35.8 349◦39.1 -13◦56.8 2◦16.4 -17◦43.79 331◦50.5 311◦00.6 7◦34.9 251◦53.5 24◦35.9 4◦41.1 -13◦56.7 17◦18.7 -17◦43.610 346◦53.0 326◦00.2 7◦36.1 266◦54.3 24◦36.0 19◦43.1 -13◦56.5 32◦21.0 -17◦43.611 1◦55.4 340◦59.8 7◦37.3 281◦55.1 24◦36.1 34◦45.1 -13◦56.4 47◦23.3 -17◦43.512 16◦57.9 355◦59.4 7◦38.5 296◦55.9 24◦36.2 49◦47.1 -13◦56.2 62◦25.6 -17◦43.513 32◦00.4 10◦59.0 7◦39.8 311◦56.7 24◦36.3 64◦49.1 -13◦56.1 77◦27.9 -17◦43.414 47◦02.8 25◦58.6 7◦41.0 326◦57.5 24◦36.4 79◦51.2 -13◦55.9 92◦30.1 -17◦43.415 62◦05.3 40◦58.1 7◦42.2 341◦58.4 24◦36.5 94◦53.2 -13◦55.8 107◦32.4 -17◦43.416 77◦07.8 55◦57.7 7◦43.4 356◦59.2 24◦36.6 109◦55.2 -13◦55.6 122◦34.7 -17◦43.317 92◦10.2 70◦57.3 7◦44.6 11◦60.0 24◦36.7 124◦57.2 -13◦55.5 137◦37.0 -17◦43.318 107◦12.7 85◦56.9 7◦45.8 27◦00.8 24◦36.8 139◦59.2 -13◦55.3 152◦39.3 -17◦43.219 122◦15.2 100◦56.5 7◦47.0 42◦01.6 24◦36.9 155◦01.2 -13◦55.2 167◦41.6 -17◦43.220 137◦17.6 115◦56.1 7◦48.2 57◦02.4 24◦37.0 170◦03.2 -13◦55.1 182◦43.9 -17◦43.121 152◦20.1 130◦55.6 7◦49.4 72◦03.2 24◦37.1 185◦05.3 -13◦54.9 197◦46.2 -17◦43.122 167◦22.5 145◦55.2 7◦50.6 87◦04.1 24◦37.2 200◦07.3 -13◦54.8 212◦48.5 -17◦43.123 182◦25.0 160◦54.8 7◦51.8 102◦04.9 24◦37.3 215◦09.3 -13◦54.6 227◦50.8 -17◦43.0Mer.pass.:10:52 v-0.4 d1.2 m-3.8 v0.8 d0.1 m1.4 v2.0 d0.1 m-1.9 v2.3 d0.0 m0.8

Fri GHA GHA Dec GHA Dec GHA Dec GHA Dec0 197◦27.5 175◦54.4 7◦53.0 117◦05.7 24◦37.4 230◦11.3 -13◦54.5 242◦53.1 -17◦43.01 212◦29.9 190◦54.0 7◦54.2 132◦06.5 24◦37.5 245◦13.3 -13◦54.3 257◦55.3 -17◦42.92 227◦32.4 205◦53.6 7◦55.5 147◦07.3 24◦37.6 260◦15.3 -13◦54.2 272◦57.6 -17◦42.93 242◦34.9 220◦53.1 7◦56.7 162◦08.1 24◦37.7 275◦17.3 -13◦54.0 287◦59.9 -17◦42.84 257◦37.3 235◦52.7 7◦57.9 177◦08.9 24◦37.8 290◦19.4 -13◦53.9 303◦02.2 -17◦42.85 272◦39.8 250◦52.3 7◦59.1 192◦09.7 24◦37.9 305◦21.4 -13◦53.7 318◦04.5 -17◦42.86 287◦42.3 265◦51.9 8◦00.3 207◦10.6 24◦38.0 320◦23.4 -13◦53.6 333◦06.8 -17◦42.77 302◦44.7 280◦51.5 8◦01.5 222◦11.4 24◦38.1 335◦25.4 -13◦53.4 348◦09.1 -17◦42.78 317◦47.2 295◦51.0 8◦02.7 237◦12.2 24◦38.2 350◦27.4 -13◦53.3 3◦11.4 -17◦42.69 332◦49.7 310◦50.6 8◦03.9 252◦13.0 24◦38.3 5◦29.4 -13◦53.1 18◦13.7 -17◦42.610 347◦52.1 325◦50.2 8◦05.1 267◦13.8 24◦38.4 20◦31.5 -13◦53.0 33◦16.0 -17◦42.611 2◦54.6 340◦49.8 8◦06.3 282◦14.6 24◦38.5 35◦33.5 -13◦52.9 48◦18.3 -17◦42.512 17◦57.0 355◦49.4 8◦07.5 297◦15.4 24◦38.6 50◦35.5 -13◦52.7 63◦20.6 -17◦42.513 32◦59.5 10◦48.9 8◦08.7 312◦16.2 24◦38.6 65◦37.5 -13◦52.6 78◦22.9 -17◦42.414 48◦02.0 25◦48.5 8◦09.9 327◦17.1 24◦38.7 80◦39.5 -13◦52.4 93◦25.2 -17◦42.415 63◦04.4 40◦48.1 8◦11.1 342◦17.9 24◦38.8 95◦41.6 -13◦52.3 108◦27.4 -17◦42.316 78◦06.9 55◦47.7 8◦12.3 357◦18.7 24◦38.9 110◦43.6 -13◦52.1 123◦29.7 -17◦42.317 93◦09.4 70◦47.3 8◦13.5 12◦19.5 24◦39.0 125◦45.6 -13◦52.0 138◦32.0 -17◦42.318 108◦11.8 85◦46.8 8◦14.7 27◦20.3 24◦39.1 140◦47.6 -13◦51.8 153◦34.3 -17◦42.219 123◦14.3 100◦46.4 8◦15.9 42◦21.1 24◦39.2 155◦49.6 -13◦51.7 168◦36.6 -17◦42.220 138◦16.8 115◦46.0 8◦17.1 57◦21.9 24◦39.3 170◦51.6 -13◦51.5 183◦38.9 -17◦42.121 153◦19.2 130◦45.6 8◦18.3 72◦22.7 24◦39.4 185◦53.7 -13◦51.4 198◦41.2 -17◦42.122 168◦21.7 145◦45.2 8◦19.5 87◦23.6 24◦39.5 200◦55.7 -13◦51.2 213◦43.5 -17◦42.123 183◦24.1 160◦44.7 8◦20.7 102◦24.4 24◦39.6 215◦57.7 -13◦51.1 228◦45.8 -17◦42.0Mer.pass.:10:48 v-0.4 d1.2 m-3.8 v0.8 d0.1 m1.4 v2.0 d0.1 m-1.9 v2.3 d0.0 m0.8

StarsSHA Dec

Alpheratz 357◦38.3 29◦12.2Ankaa 353◦10.6 -42◦11.6

Schedar 349◦35.0 56◦39.0Diphda 348◦50.6 -17◦52.4

Achernar 335◦23.2 -57◦07.9Hamal 327◦55.0 23◦33.6Polaris 315◦52.1 89◦21.3Akamar 315◦14.5 -40◦13.5Menkar 314◦09.6 4◦10.2Mirfak 308◦33.0 49◦56.1

Aldebaran 290◦43.4 16◦33.0Rigel 281◦07.0 -8◦10.9

Capella 280◦26.7 46◦01.3Bellatrix 278◦26.3 6◦22.0Elnath 278◦05.9 28◦37.5Alnilam 275◦41.0 -1◦11.5

Betelgeuse 270◦55.5 7◦24.5Canopus 263◦53.9 -52◦42.8

Sirius 258◦28.9 -16◦44.8Adara 255◦08.3 -29◦00.3

Procyon 244◦53.9 5◦10.3Pollux 243◦20.9 27◦58.5Avior 234◦15.7 -59◦34.9Suhail 222◦48.3 -43◦31.3

Miaplacidus 221◦38.3 -69◦48.5Alphard 217◦50.6 -8◦45.2Regulus 207◦37.4 11◦51.8Dubhe 193◦44.3 61◦38.4

Denebola 182◦27.7 14◦27.2Gienah 175◦46.4 -17◦39.6Acrux 173◦02.7 -63◦13.0

Gacrux 171◦54.4 -57◦13.9Alioth 166◦15.2 55◦50.7Spica 158◦25.2 -11◦16.3Alcaid 152◦54.0 49◦12.4Hadar 148◦39.7 -60◦28.4

Menkent 148◦00.8 -36◦28.4Arcturus 145◦50.3 19◦04.5

Rigil Kent. 139◦43.9 -60◦55.2Zubenelg. 136◦59.1 -16◦07.8Kochab 137◦18.8 74◦04.0

Alphecca 126◦06.1 26◦38.5Antares 112◦19.4 -26◦28.7

Atria 107◦16.0 -69◦03.6Sabik 102◦06.1 -15◦45.0

Shaula 96◦14.4 -37◦07.0Rasalhague 96◦01.3 12◦32.6

Etamin 90◦43.4 51◦28.9Kaus Aust. 83◦36.5 -34◦22.3

Vega 80◦35.3 38◦47.9Nunki 75◦51.5 -26◦16.2Altair 62◦03.1 8◦55.2

Peacock 53◦10.8 -56◦39.8Deneb 49◦28.0 45◦21.0

Enif 33◦42.0 9◦58.1Alnair 27◦37.2 -46◦51.4

Fomalhaut 15◦18.3 -29◦30.7Scheat 13◦48.5 28◦11.6Markab 13◦33.2 15◦18.9

2021/4/7 SHA Mer.passVenus 340◦45.0 12:15Mars 280◦57.3 16:13

Jupiter 33◦05.5 08:45Saturn 45◦34.0 07:55

2021/4/8 SHA Mer.passVenus 339◦36.0 12:16Mars 280◦17.8 16:12

Jupiter 32◦54.6 08:41Saturn 45◦29.8 07:51

2021/4/9 SHA Mer.passVenus 338◦26.9 12:17Mars 279◦38.2 16:11

Jupiter 32◦43.8 08:38Saturn 45◦25.6 07:47

Horizontal paralaxVenus: 0.1Mars: 0.1

66

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2021 April 07 to Apr. 09

h Sun MoonWed GHA Dec GHA ν Dec d HP0 179◦26.9 6◦49.8 232◦27.6 10.7 -19◦33.2 9.2 56.51 194◦27.1 6◦50.7 246◦57.4 10.8 -19◦24.0 9.3 56.42 209◦27.3 6◦51.7 261◦27.3 10.9 -19◦14.7 9.4 56.43 224◦27.5 6◦52.6 275◦57.2 11.0 -19◦05.3 9.4 56.44 239◦27.6 6◦53.5 290◦27.3 11.1 -18◦55.8 9.5 56.45 254◦27.8 6◦54.5 304◦57.4 11.2 -18◦46.2 9.6 56.36 269◦28.0 6◦55.4 319◦27.6 11.3 -18◦36.6 9.7 56.37 284◦28.2 6◦56.4 333◦57.9 11.4 -18◦26.8 9.8 56.38 299◦28.3 6◦57.3 348◦28.3 11.4 -18◦17.0 9.9 56.39 314◦28.5 6◦58.2 2◦58.8 11.5 -18◦07.1 9.9 56.210 329◦28.7 6◦59.2 17◦29.4 11.6 -17◦57.1 10.0 56.211 344◦28.9 7◦00.1 32◦00.0 11.7 -17◦47.0 10.1 56.212 359◦29.0 7◦01.0 46◦30.8 11.8 -17◦36.9 10.2 56.213 14◦29.2 7◦02.0 61◦01.6 11.9 -17◦26.7 10.3 56.114 29◦29.4 7◦02.9 75◦32.5 11.9 -17◦16.4 10.3 56.115 44◦29.5 7◦03.9 90◦03.5 12.0 -17◦06.0 10.4 56.116 59◦29.7 7◦04.8 104◦34.5 12.1 -16◦55.6 10.5 56.117 74◦29.9 7◦05.7 119◦05.7 12.2 -16◦45.1 10.5 56.118 89◦30.1 7◦06.7 133◦36.9 12.3 -16◦34.5 10.6 56.019 104◦30.2 7◦07.6 148◦08.2 12.3 -16◦23.8 10.7 56.020 119◦30.4 7◦08.5 162◦39.6 12.4 -16◦13.1 10.8 56.021 134◦30.6 7◦09.5 177◦11.1 12.5 -16◦02.3 10.8 56.022 149◦30.8 7◦10.4 191◦42.6 12.6 -15◦51.5 10.9 55.923 164◦30.9 7◦11.3 206◦14.2 12.7 -15◦40.5 11.0 55.9

SD.=16.0 d=0.9 S.D.=15.4

Thu GHA Dec GHA ν Dec d HP0 179◦31.1 7◦12.3 220◦45.9 12.7 -15◦29.5 11.0 55.91 194◦31.3 7◦13.2 235◦17.7 12.8 -15◦18.5 11.1 55.92 209◦31.4 7◦14.2 249◦49.6 12.9 -15◦07.4 11.1 55.93 224◦31.6 7◦15.1 264◦21.5 13.0 -14◦56.2 11.2 55.84 239◦31.8 7◦16.0 278◦53.5 13.0 -14◦45.0 11.3 55.85 254◦32.0 7◦17.0 293◦25.6 13.1 -14◦33.7 11.3 55.86 269◦32.1 7◦17.9 307◦57.7 13.2 -14◦22.3 11.4 55.87 284◦32.3 7◦18.8 322◦29.9 13.3 -14◦10.9 11.4 55.78 299◦32.5 7◦19.8 337◦02.2 13.3 -13◦59.5 11.5 55.79 314◦32.7 7◦20.7 351◦34.6 13.4 -13◦48.0 11.5 55.710 329◦32.8 7◦21.6 6◦07.0 13.5 -13◦36.4 11.6 55.711 344◦33.0 7◦22.6 20◦39.5 13.5 -13◦24.8 11.6 55.712 359◦33.2 7◦23.5 35◦12.1 13.6 -13◦13.1 11.7 55.613 14◦33.3 7◦24.4 49◦44.7 13.7 -13◦01.4 11.7 55.614 29◦33.5 7◦25.4 64◦17.5 13.7 -12◦49.6 11.8 55.615 44◦33.7 7◦26.3 78◦50.2 13.8 -12◦37.8 11.8 55.616 59◦33.9 7◦27.2 93◦23.1 13.9 -12◦25.9 11.9 55.617 74◦34.0 7◦28.1 107◦56.0 13.9 -12◦14.0 11.9 55.518 89◦34.2 7◦29.1 122◦28.9 14.0 -12◦02.0 12.0 55.519 104◦34.4 7◦30.0 137◦01.9 14.1 -11◦50.0 12.0 55.520 119◦34.5 7◦30.9 151◦35.0 14.1 -11◦38.0 12.1 55.521 134◦34.7 7◦31.9 166◦08.2 14.2 -11◦25.9 12.1 55.522 149◦34.9 7◦32.8 180◦41.4 14.2 -11◦13.8 12.2 55.423 164◦35.0 7◦33.7 195◦14.7 14.3 -11◦01.6 12.2 55.4

SD.=16.0 d=0.9 S.D.=15.2

Fri GHA Dec GHA ν Dec d HP0 179◦35.2 7◦34.7 209◦48.0 14.4 -10◦49.4 12.2 55.41 194◦35.4 7◦35.6 224◦21.4 14.4 -10◦37.1 12.3 55.42 209◦35.6 7◦36.5 238◦54.8 14.5 -10◦24.8 12.3 55.43 224◦35.7 7◦37.5 253◦28.3 14.5 -10◦12.5 12.3 55.34 239◦35.9 7◦38.4 268◦01.9 14.6 -10◦00.2 12.4 55.35 254◦36.1 7◦39.3 282◦35.5 14.6 -9◦47.8 12.4 55.36 269◦36.2 7◦40.2 297◦09.1 14.7 -9◦35.3 12.4 55.37 284◦36.4 7◦41.2 311◦42.8 14.7 -9◦22.9 12.5 55.38 299◦36.6 7◦42.1 326◦16.6 14.8 -9◦10.4 12.5 55.39 314◦36.7 7◦43.0 340◦50.4 14.8 -8◦57.9 12.5 55.210 329◦36.9 7◦44.0 355◦24.3 14.9 -8◦45.3 12.6 55.211 344◦37.1 7◦44.9 9◦58.2 14.9 -8◦32.7 12.6 55.212 359◦37.2 7◦45.8 24◦32.1 15.0 -8◦20.1 12.6 55.213 14◦37.4 7◦46.7 39◦06.1 15.0 -8◦07.5 12.6 55.214 29◦37.6 7◦47.7 53◦40.2 15.1 -7◦54.8 12.7 55.115 44◦37.7 7◦48.6 68◦14.3 15.1 -7◦42.2 12.7 55.116 59◦37.9 7◦49.5 82◦48.4 15.2 -7◦29.5 12.7 55.117 74◦38.1 7◦50.4 97◦22.6 15.2 -7◦16.7 12.7 55.118 89◦38.3 7◦51.4 111◦56.8 15.2 -7◦04.0 12.8 55.119 104◦38.4 7◦52.3 126◦31.1 15.3 -6◦51.2 12.8 55.120 119◦38.6 7◦53.2 141◦05.4 15.3 -6◦38.4 12.8 55.021 134◦38.8 7◦54.1 155◦39.7 15.4 -6◦25.6 12.8 55.022 149◦38.9 7◦55.1 170◦14.1 15.4 -6◦12.7 12.8 55.023 164◦39.1 7◦56.0 184◦48.5 15.4 -5◦59.9 12.9 55.0

SD.=16.0 d=0.9 S.D.=15.1

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 –:– 02:54 04:17 19:49 21:15 –:–70 01:06 03:17 04:29 19:37 20:50 23:1468 01:58 03:35 04:39 19:27 20:32 22:1266 02:29 03:50 04:47 19:19 20:17 21:3964 02:51 04:01 04:53 19:12 20:05 21:1662 03:09 04:11 04:59 19:06 19:55 20:5860 03:23 04:20 05:04 19:01 19:46 20:4358 03:35 04:27 05:08 18:57 19:38 20:3156 03:45 04:33 05:12 18:53 19:32 20:2154 03:53 04:39 05:16 18:49 19:26 20:1252 04:01 04:44 05:19 18:46 19:21 20:0450 04:08 04:48 05:22 18:43 19:17 19:5745 04:22 04:58 05:28 18:37 19:07 19:4340 04:32 05:05 05:33 18:31 18:59 19:3235 04:41 05:11 05:37 18:27 18:53 19:2330 04:48 05:17 05:41 18:23 18:47 19:1620 04:59 05:25 05:48 18:16 18:39 19:0510 05:07 05:32 05:53 18:10 18:32 18:560 05:13 05:38 05:59 18:05 18:26 18:50-10 05:18 05:42 06:04 17:60 18:21 18:45-20 05:21 05:47 06:09 17:54 18:16 18:42-30 05:23 05:51 06:15 17:48 18:12 18:40-35 05:24 05:53 06:18 17:45 18:10 18:39-40 05:24 05:55 06:22 17:41 18:08 18:39-45 05:23 05:57 06:27 17:36 18:06 18:40-50 05:22 05:59 06:32 17:31 18:03 18:41-52 05:21 06:00 06:34 17:29 18:02 18:41-54 05:20 06:01 06:37 17:26 18:01 18:42-56 05:19 06:02 06:40 17:23 18:00 18:43-58 05:18 06:03 06:43 17:20 17:59 18:44-60 05:16 06:04 06:46 17:16 17:58 18:46

Moonrise MoonsetLat. Wed Thu Fri Wed Thu Fri72 –:– 06:57 06:18 –:– 12:35 14:4670 07:13 06:28 06:03 10:40 13:02 14:5868 06:30 06:07 05:52 11:22 13:21 15:0866 06:01 05:50 05:42 11:50 13:37 15:1664 05:38 05:36 05:34 12:11 13:50 15:2362 05:21 05:24 05:26 12:28 14:00 15:2960 05:06 05:14 05:20 12:42 14:10 15:3458 04:53 05:06 05:15 12:54 14:17 15:3856 04:42 04:58 05:10 13:04 14:24 15:4254 04:32 04:51 05:05 13:13 14:31 15:4652 04:24 04:45 05:01 13:21 14:36 15:4950 04:16 04:39 04:58 13:29 14:41 15:5245 03:59 04:27 04:50 13:44 14:52 15:5840 03:45 04:16 04:43 13:57 15:01 16:0335 03:34 04:08 04:37 14:07 15:08 16:0730 03:23 03:60 04:32 14:17 15:15 16:1120 03:06 03:47 04:24 14:33 15:26 16:1810 02:50 03:35 04:16 14:46 15:36 16:240 02:36 03:24 04:09 14:59 15:46 16:29-10 02:21 03:13 04:01 15:12 15:55 16:35-20 02:06 03:01 03:53 15:26 16:05 16:40-30 01:48 02:47 03:44 15:41 16:16 16:47-35 01:37 02:39 03:39 15:50 16:22 16:50-40 01:25 02:30 03:33 16:00 16:29 16:54-45 01:11 02:20 03:26 16:12 16:37 16:59-50 00:53 02:07 03:18 16:26 16:47 17:05-52 00:45 02:01 03:14 16:33 16:52 17:08-54 00:36 01:54 03:10 16:40 16:57 17:10-56 00:25 01:46 03:05 16:49 17:02 17:14-58 00:13 01:38 02:60 16:58 17:09 17:17-60 –:– 01:28 02:54 17:08 17:16 17:21

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower7 02:12 02:04 12:02 08:47 21:11 25(20%)8 01:56 01:47 12:01 09:34 21:57 26(12%)9 01:39 01:31 12:01 10:18 22:40 27(7%)

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April 10, 11 ,12 (Sat., Sun., Mon.)Aries Venus Mars Jupiter Saturn

Sat GHA GHA Dec GHA Dec GHA Dec GHA Dec0 198◦26.6 175◦44.3 8◦21.9 117◦25.2 24◦39.7 230◦59.7 -13◦51.0 243◦48.1 -17◦42.01 213◦29.1 190◦43.9 8◦23.1 132◦26.0 24◦39.8 246◦01.7 -13◦50.8 258◦50.4 -17◦41.92 228◦31.5 205◦43.5 8◦24.3 147◦26.8 24◦39.9 261◦03.8 -13◦50.7 273◦52.7 -17◦41.93 243◦34.0 220◦43.0 8◦25.5 162◦27.6 24◦39.9 276◦05.8 -13◦50.5 288◦55.0 -17◦41.84 258◦36.5 235◦42.6 8◦26.7 177◦28.4 24◦40.0 291◦07.8 -13◦50.4 303◦57.3 -17◦41.85 273◦38.9 250◦42.2 8◦27.9 192◦29.2 24◦40.1 306◦09.8 -13◦50.2 318◦59.6 -17◦41.86 288◦41.4 265◦41.8 8◦29.1 207◦30.0 24◦40.2 321◦11.8 -13◦50.1 334◦01.9 -17◦41.77 303◦43.9 280◦41.3 8◦30.3 222◦30.9 24◦40.3 336◦13.9 -13◦49.9 349◦04.2 -17◦41.78 318◦46.3 295◦40.9 8◦31.5 237◦31.7 24◦40.4 351◦15.9 -13◦49.8 4◦06.5 -17◦41.69 333◦48.8 310◦40.5 8◦32.7 252◦32.5 24◦40.5 6◦17.9 -13◦49.7 19◦08.8 -17◦41.610 348◦51.3 325◦40.1 8◦33.9 267◦33.3 24◦40.6 21◦19.9 -13◦49.5 34◦11.1 -17◦41.611 3◦53.7 340◦39.6 8◦35.1 282◦34.1 24◦40.7 36◦21.9 -13◦49.4 49◦13.4 -17◦41.512 18◦56.2 355◦39.2 8◦36.3 297◦34.9 24◦40.7 51◦24.0 -13◦49.2 64◦15.6 -17◦41.513 33◦58.6 10◦38.8 8◦37.5 312◦35.7 24◦40.8 66◦26.0 -13◦49.1 79◦17.9 -17◦41.414 49◦01.1 25◦38.4 8◦38.7 327◦36.5 24◦40.9 81◦28.0 -13◦48.9 94◦20.2 -17◦41.415 64◦03.6 40◦37.9 8◦39.8 342◦37.3 24◦41.0 96◦30.0 -13◦48.8 109◦22.5 -17◦41.316 79◦06.0 55◦37.5 8◦41.0 357◦38.2 24◦41.1 111◦32.1 -13◦48.6 124◦24.8 -17◦41.317 94◦08.5 70◦37.1 8◦42.2 12◦39.0 24◦41.2 126◦34.1 -13◦48.5 139◦27.1 -17◦41.318 109◦11.0 85◦36.6 8◦43.4 27◦39.8 24◦41.3 141◦36.1 -13◦48.3 154◦29.4 -17◦41.219 124◦13.4 100◦36.2 8◦44.6 42◦40.6 24◦41.4 156◦38.1 -13◦48.2 169◦31.7 -17◦41.220 139◦15.9 115◦35.8 8◦45.8 57◦41.4 24◦41.4 171◦40.2 -13◦48.1 184◦34.0 -17◦41.121 154◦18.4 130◦35.4 8◦47.0 72◦42.2 24◦41.5 186◦42.2 -13◦47.9 199◦36.3 -17◦41.122 169◦20.8 145◦34.9 8◦48.2 87◦43.0 24◦41.6 201◦44.2 -13◦47.8 214◦38.6 -17◦41.123 184◦23.3 160◦34.5 8◦49.4 102◦43.8 24◦41.7 216◦46.2 -13◦47.6 229◦40.9 -17◦41.0Mer.pass.:10:44 v-0.4 d1.2 m-3.8 v0.8 d0.1 m1.4 v2.0 d0.1 m-1.9 v2.3 d0.0 m0.8

Sun GHA GHA Dec GHA Dec GHA Dec GHA Dec0 199◦25.7 175◦34.1 8◦50.6 117◦44.6 24◦41.8 231◦48.2 -13◦47.5 244◦43.2 -17◦41.01 214◦28.2 190◦33.6 8◦51.8 132◦45.4 24◦41.9 246◦50.3 -13◦47.3 259◦45.5 -17◦40.92 229◦30.7 205◦33.2 8◦53.0 147◦46.2 24◦41.9 261◦52.3 -13◦47.2 274◦47.8 -17◦40.93 244◦33.1 220◦32.8 8◦54.2 162◦47.1 24◦42.0 276◦54.3 -13◦47.0 289◦50.1 -17◦40.94 259◦35.6 235◦32.3 8◦55.3 177◦47.9 24◦42.1 291◦56.3 -13◦46.9 304◦52.4 -17◦40.85 274◦38.1 250◦31.9 8◦56.5 192◦48.7 24◦42.2 306◦58.4 -13◦46.8 319◦54.7 -17◦40.86 289◦40.5 265◦31.5 8◦57.7 207◦49.5 24◦42.3 322◦00.4 -13◦46.6 334◦57.0 -17◦40.77 304◦43.0 280◦31.1 8◦58.9 222◦50.3 24◦42.4 337◦02.4 -13◦46.5 349◦59.3 -17◦40.78 319◦45.5 295◦30.6 9◦00.1 237◦51.1 24◦42.4 352◦04.4 -13◦46.3 5◦01.6 -17◦40.79 334◦47.9 310◦30.2 9◦01.3 252◦51.9 24◦42.5 7◦06.5 -13◦46.2 20◦03.9 -17◦40.610 349◦50.4 325◦29.8 9◦02.5 267◦52.7 24◦42.6 22◦08.5 -13◦46.0 35◦06.2 -17◦40.611 4◦52.9 340◦29.3 9◦03.7 282◦53.5 24◦42.7 37◦10.5 -13◦45.9 50◦08.5 -17◦40.512 19◦55.3 355◦28.9 9◦04.8 297◦54.3 24◦42.8 52◦12.5 -13◦45.8 65◦10.8 -17◦40.513 34◦57.8 10◦28.5 9◦06.0 312◦55.1 24◦42.9 67◦14.6 -13◦45.6 80◦13.1 -17◦40.514 50◦00.2 25◦28.0 9◦07.2 327◦56.0 24◦42.9 82◦16.6 -13◦45.5 95◦15.4 -17◦40.415 65◦02.7 40◦27.6 9◦08.4 342◦56.8 24◦43.0 97◦18.6 -13◦45.3 110◦17.7 -17◦40.416 80◦05.2 55◦27.2 9◦09.6 357◦57.6 24◦43.1 112◦20.7 -13◦45.2 125◦20.0 -17◦40.317 95◦07.6 70◦26.7 9◦10.8 12◦58.4 24◦43.2 127◦22.7 -13◦45.0 140◦22.3 -17◦40.318 110◦10.1 85◦26.3 9◦12.0 27◦59.2 24◦43.3 142◦24.7 -13◦44.9 155◦24.6 -17◦40.319 125◦12.6 100◦25.9 9◦13.1 42◦60.0 24◦43.3 157◦26.7 -13◦44.7 170◦26.9 -17◦40.220 140◦15.0 115◦25.4 9◦14.3 58◦00.8 24◦43.4 172◦28.8 -13◦44.6 185◦29.2 -17◦40.221 155◦17.5 130◦25.0 9◦15.5 73◦01.6 24◦43.5 187◦30.8 -13◦44.5 200◦31.5 -17◦40.122 170◦20.0 145◦24.5 9◦16.7 88◦02.4 24◦43.6 202◦32.8 -13◦44.3 215◦33.8 -17◦40.123 185◦22.4 160◦24.1 9◦17.9 103◦03.2 24◦43.6 217◦34.8 -13◦44.2 230◦36.1 -17◦40.1Mer.pass.:10:40 v-0.4 d1.2 m-3.8 v0.8 d0.1 m1.4 v2.0 d0.1 m-2.0 v2.3 d0.0 m0.8

Mon GHA GHA Dec GHA Dec GHA Dec GHA Dec0 200◦24.9 175◦23.7 9◦19.1 118◦04.0 24◦43.7 232◦36.9 -13◦44.0 245◦38.4 -17◦40.01 215◦27.3 190◦23.2 9◦20.2 133◦04.8 24◦43.8 247◦38.9 -13◦43.9 260◦40.7 -17◦40.02 230◦29.8 205◦22.8 9◦21.4 148◦05.6 24◦43.9 262◦40.9 -13◦43.7 275◦43.0 -17◦39.93 245◦32.3 220◦22.4 9◦22.6 163◦06.5 24◦44.0 277◦43.0 -13◦43.6 290◦45.3 -17◦39.94 260◦34.7 235◦21.9 9◦23.8 178◦07.3 24◦44.0 292◦45.0 -13◦43.5 305◦47.6 -17◦39.95 275◦37.2 250◦21.5 9◦25.0 193◦08.1 24◦44.1 307◦47.0 -13◦43.3 320◦49.9 -17◦39.86 290◦39.7 265◦21.0 9◦26.1 208◦08.9 24◦44.2 322◦49.0 -13◦43.2 335◦52.2 -17◦39.87 305◦42.1 280◦20.6 9◦27.3 223◦09.7 24◦44.3 337◦51.1 -13◦43.0 350◦54.5 -17◦39.78 320◦44.6 295◦20.2 9◦28.5 238◦10.5 24◦44.3 352◦53.1 -13◦42.9 5◦56.8 -17◦39.79 335◦47.1 310◦19.7 9◦29.7 253◦11.3 24◦44.4 7◦55.1 -13◦42.7 20◦59.1 -17◦39.710 350◦49.5 325◦19.3 9◦30.9 268◦12.1 24◦44.5 22◦57.2 -13◦42.6 36◦01.4 -17◦39.611 5◦52.0 340◦18.9 9◦32.0 283◦12.9 24◦44.6 37◦59.2 -13◦42.5 51◦03.7 -17◦39.612 20◦54.5 355◦18.4 9◦33.2 298◦13.7 24◦44.6 53◦01.2 -13◦42.3 66◦06.1 -17◦39.513 35◦56.9 10◦18.0 9◦34.4 313◦14.5 24◦44.7 68◦03.3 -13◦42.2 81◦08.4 -17◦39.514 50◦59.4 25◦17.5 9◦35.6 328◦15.3 24◦44.8 83◦05.3 -13◦42.0 96◦10.7 -17◦39.515 66◦01.8 40◦17.1 9◦36.7 343◦16.1 24◦44.9 98◦07.3 -13◦41.9 111◦13.0 -17◦39.416 81◦04.3 55◦16.7 9◦37.9 358◦16.9 24◦44.9 113◦09.3 -13◦41.7 126◦15.3 -17◦39.417 96◦06.8 70◦16.2 9◦39.1 13◦17.8 24◦45.0 128◦11.4 -13◦41.6 141◦17.6 -17◦39.318 111◦09.2 85◦15.8 9◦40.3 28◦18.6 24◦45.1 143◦13.4 -13◦41.5 156◦19.9 -17◦39.319 126◦11.7 100◦15.3 9◦41.4 43◦19.4 24◦45.1 158◦15.4 -13◦41.3 171◦22.2 -17◦39.320 141◦14.2 115◦14.9 9◦42.6 58◦20.2 24◦45.2 173◦17.5 -13◦41.2 186◦24.5 -17◦39.221 156◦16.6 130◦14.4 9◦43.8 73◦21.0 24◦45.3 188◦19.5 -13◦41.0 201◦26.8 -17◦39.222 171◦19.1 145◦14.0 9◦45.0 88◦21.8 24◦45.4 203◦21.5 -13◦40.9 216◦29.1 -17◦39.223 186◦21.6 160◦13.6 9◦46.1 103◦22.6 24◦45.4 218◦23.6 -13◦40.7 231◦31.4 -17◦39.1Mer.pass.:10:36 v-0.4 d1.2 m-3.8 v0.8 d0.1 m1.4 v2.0 d0.1 m-2.0 v2.3 d0.0 m0.8

StarsSHA Dec

Alpheratz 357◦38.3 29◦12.2Ankaa 353◦10.6 -42◦11.6

Schedar 349◦35.0 56◦39.0Diphda 348◦50.6 -17◦52.4

Achernar 335◦23.2 -57◦07.9Hamal 327◦55.0 23◦33.6Polaris 315◦52.9 89◦21.3Akamar 315◦14.5 -40◦13.4Menkar 314◦09.6 4◦10.2Mirfak 308◦33.0 49◦56.1

Aldebaran 290◦43.4 16◦33.0Rigel 281◦07.0 -8◦10.8

Capella 280◦26.7 46◦01.2Bellatrix 278◦26.3 6◦22.0Elnath 278◦05.9 28◦37.5Alnilam 275◦41.0 -1◦11.5

Betelgeuse 270◦55.5 7◦24.5Canopus 263◦53.9 -52◦42.7

Sirius 258◦28.9 -16◦44.8Adara 255◦08.3 -29◦00.3

Procyon 244◦53.9 5◦10.3Pollux 243◦20.9 27◦58.5Avior 234◦15.8 -59◦34.9Suhail 222◦48.3 -43◦31.3

Miaplacidus 221◦38.4 -69◦48.5Alphard 217◦50.6 -8◦45.2Regulus 207◦37.5 11◦51.8Dubhe 193◦44.3 61◦38.4

Denebola 182◦27.7 14◦27.2Gienah 175◦46.4 -17◦39.6Acrux 173◦02.7 -63◦13.0

Gacrux 171◦54.4 -57◦13.9Alioth 166◦15.2 55◦50.7Spica 158◦25.2 -11◦16.3Alcaid 152◦54.0 49◦12.4Hadar 148◦39.7 -60◦28.4

Menkent 148◦00.8 -36◦28.4Arcturus 145◦50.3 19◦04.6

Rigil Kent. 139◦43.8 -60◦55.2Zubenelg. 136◦59.1 -16◦07.8Kochab 137◦18.8 74◦04.0

Alphecca 126◦06.1 26◦38.5Antares 112◦19.3 -26◦28.7

Atria 107◦16.0 -69◦03.6Sabik 102◦06.1 -15◦45.0

Shaula 96◦14.4 -37◦07.0Rasalhague 96◦01.3 12◦32.6

Etamin 90◦43.4 51◦28.9Kaus Aust. 83◦36.5 -34◦22.3

Vega 80◦35.2 38◦47.9Nunki 75◦51.5 -26◦16.2Altair 62◦03.0 8◦55.2

Peacock 53◦10.7 -56◦39.8Deneb 49◦28.0 45◦21.0

Enif 33◦42.0 9◦58.1Alnair 27◦37.1 -46◦51.4

Fomalhaut 15◦18.3 -29◦30.7Scheat 13◦48.5 28◦11.6Markab 13◦33.2 15◦18.9

2021/4/1 SHA Mer.passVenus 337◦17.7 12:17Mars 278◦58.6 16:09

Jupiter 32◦33.1 08:35Saturn 45◦21.5 07:44

2021/4/1 SHA Mer.passVenus 336◦08.3 12:18Mars 278◦18.9 16:08

Jupiter 32◦22.5 08:32Saturn 45◦17.5 07:40

2021/4/1 SHA Mer.passVenus 334◦58.8 12:19Mars 277◦39.1 16:07

Jupiter 32◦12.0 08:28Saturn 45◦13.5 07:36

Horizontal paralaxVenus: 0.1Mars: 0.1

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2021 April 10 to Apr. 12

h Sun MoonSat GHA Dec GHA ν Dec d HP0 179◦39.3 7◦56.9 199◦23.0 15.5 -5◦47.0 12.9 55.01 194◦39.4 7◦57.8 213◦57.5 15.5 -5◦34.1 12.9 55.02 209◦39.6 7◦58.8 228◦32.0 15.5 -5◦21.2 12.9 54.93 224◦39.8 7◦59.7 243◦06.6 15.6 -5◦08.3 12.9 54.94 239◦39.9 8◦00.6 257◦41.2 15.6 -4◦55.4 12.9 54.95 254◦40.1 8◦01.5 272◦15.8 15.6 -4◦42.4 13.0 54.96 269◦40.3 8◦02.5 286◦50.5 15.7 -4◦29.5 13.0 54.97 284◦40.4 8◦03.4 301◦25.2 15.7 -4◦16.5 13.0 54.98 299◦40.6 8◦04.3 315◦59.9 15.7 -4◦03.5 13.0 54.99 314◦40.8 8◦05.2 330◦34.7 15.8 -3◦50.5 13.0 54.810 329◦40.9 8◦06.2 345◦09.4 15.8 -3◦37.5 13.0 54.811 344◦41.1 8◦07.1 359◦44.2 15.8 -3◦24.5 13.0 54.812 359◦41.3 8◦08.0 14◦19.1 15.8 -3◦11.5 13.0 54.813 14◦41.4 8◦08.9 28◦53.9 15.9 -2◦58.5 13.0 54.814 29◦41.6 8◦09.8 43◦28.8 15.9 -2◦45.5 13.0 54.815 44◦41.7 8◦10.8 58◦03.7 15.9 -2◦32.4 13.0 54.816 59◦41.9 8◦11.7 72◦38.7 15.9 -2◦19.4 13.0 54.717 74◦42.1 8◦12.6 87◦13.6 16.0 -2◦06.4 13.0 54.718 89◦42.2 8◦13.5 101◦48.6 16.0 -1◦53.3 13.0 54.719 104◦42.4 8◦14.5 116◦23.6 16.0 -1◦40.3 13.0 54.720 119◦42.6 8◦15.4 130◦58.6 16.0 -1◦27.2 13.0 54.721 134◦42.7 8◦16.3 145◦33.6 16.0 -1◦14.2 13.0 54.722 149◦42.9 8◦17.2 160◦08.6 16.1 -1◦01.2 13.0 54.723 164◦43.1 8◦18.1 174◦43.7 16.1 -0◦48.1 13.0 54.6

SD.=16.0 d=0.9 S.D.=15.0

Sun GHA Dec GHA ν Dec d HP0 179◦43.2 8◦19.1 189◦18.8 16.1 -0◦35.1 13.0 54.61 194◦43.4 8◦20.0 203◦53.9 16.1 -0◦22.1 13.0 54.62 209◦43.6 8◦20.9 218◦29.0 16.1 -0◦09.0 13.0 54.63 224◦43.7 8◦21.8 233◦04.1 16.1 0◦04.0 13.0 54.64 239◦43.9 8◦22.7 247◦39.2 16.1 0◦17.0 13.0 54.65 254◦44.0 8◦23.6 262◦14.4 16.1 0◦30.0 13.0 54.66 269◦44.2 8◦24.6 276◦49.5 16.2 0◦43.0 13.0 54.67 284◦44.4 8◦25.5 291◦24.7 16.2 0◦56.0 13.0 54.58 299◦44.5 8◦26.4 305◦59.8 16.2 1◦09.0 13.0 54.59 314◦44.7 8◦27.3 320◦35.0 16.2 1◦22.0 13.0 54.510 329◦44.9 8◦28.2 335◦10.2 16.2 1◦35.0 13.0 54.511 344◦45.0 8◦29.1 349◦45.4 16.2 1◦47.9 13.0 54.512 359◦45.2 8◦30.1 4◦20.6 16.2 2◦00.9 12.9 54.513 14◦45.4 8◦31.0 18◦55.8 16.2 2◦13.8 12.9 54.514 29◦45.5 8◦31.9 33◦31.0 16.2 2◦26.7 12.9 54.515 44◦45.7 8◦32.8 48◦06.2 16.2 2◦39.6 12.9 54.416 59◦45.8 8◦33.7 62◦41.4 16.2 2◦52.5 12.9 54.417 74◦46.0 8◦34.6 77◦16.6 16.2 3◦05.4 12.9 54.418 89◦46.2 8◦35.6 91◦51.8 16.2 3◦18.2 12.8 54.419 104◦46.3 8◦36.5 106◦27.0 16.2 3◦31.1 12.8 54.420 119◦46.5 8◦37.4 121◦02.2 16.2 3◦43.9 12.8 54.421 134◦46.6 8◦38.3 135◦37.4 16.2 3◦56.7 12.8 54.422 149◦46.8 8◦39.2 150◦12.6 16.2 4◦09.5 12.8 54.423 164◦47.0 8◦40.1 164◦47.8 16.2 4◦22.3 12.8 54.4

SD.=16.0 d=0.9 S.D.=14.9

Mon GHA Dec GHA ν Dec d HP0 179◦47.1 8◦41.0 179◦23.0 16.2 4◦35.0 12.7 54.31 194◦47.3 8◦42.0 193◦58.2 16.2 4◦47.7 12.7 54.32 209◦47.5 8◦42.9 208◦33.3 16.2 5◦00.4 12.7 54.33 224◦47.6 8◦43.8 223◦08.5 16.2 5◦13.1 12.7 54.34 239◦47.8 8◦44.7 237◦43.7 16.2 5◦25.8 12.6 54.35 254◦47.9 8◦45.6 252◦18.8 16.1 5◦38.4 12.6 54.36 269◦48.1 8◦46.5 266◦53.9 16.1 5◦51.0 12.6 54.37 284◦48.3 8◦47.4 281◦29.1 16.1 6◦03.6 12.6 54.38 299◦48.4 8◦48.3 296◦04.2 16.1 6◦16.1 12.5 54.39 314◦48.6 8◦49.2 310◦39.3 16.1 6◦28.6 12.5 54.310 329◦48.7 8◦50.2 325◦14.4 16.1 6◦41.1 12.5 54.311 344◦48.9 8◦51.1 339◦49.5 16.1 6◦53.6 12.5 54.212 359◦49.1 8◦52.0 354◦24.5 16.1 7◦06.0 12.4 54.213 14◦49.2 8◦52.9 8◦59.6 16.0 7◦18.4 12.4 54.214 29◦49.4 8◦53.8 23◦34.6 16.0 7◦30.8 12.4 54.215 44◦49.5 8◦54.7 38◦09.6 16.0 7◦43.2 12.3 54.216 59◦49.7 8◦55.6 52◦44.6 16.0 7◦55.5 12.3 54.217 74◦49.8 8◦56.5 67◦19.6 16.0 8◦07.7 12.3 54.218 89◦50.0 8◦57.4 81◦54.5 15.9 8◦20.0 12.2 54.219 104◦50.2 8◦58.3 96◦29.5 15.9 8◦32.2 12.2 54.220 119◦50.3 8◦59.3 111◦04.4 15.9 8◦44.4 12.2 54.221 134◦50.5 9◦00.2 125◦39.3 15.9 8◦56.5 12.1 54.222 149◦50.6 9◦01.1 140◦14.2 15.9 9◦08.6 12.1 54.223 164◦50.8 9◦02.0 154◦49.0 15.8 9◦20.6 12.0 54.1

SD.=16.0 d=0.9 S.D.=14.8

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 –:– 02:31 04:01 20:05 21:37 –:–70 –:– 02:59 04:15 19:50 21:07 –:–68 01:31 03:20 04:26 19:39 20:45 22:4066 02:10 03:36 04:35 19:29 20:29 21:5864 02:36 03:50 04:43 19:21 20:15 21:3062 02:56 04:01 04:49 19:15 20:04 21:1060 03:11 04:10 04:55 19:09 19:54 20:5358 03:24 04:18 04:60 19:04 19:46 20:4056 03:35 04:25 05:04 18:59 19:39 20:2954 03:45 04:31 05:08 18:55 19:32 20:1952 03:53 04:37 05:12 18:51 19:27 20:1050 04:00 04:42 05:15 18:48 19:22 20:0345 04:16 04:52 05:22 18:41 19:11 19:4840 04:27 05:00 05:28 18:35 19:02 19:3635 04:37 05:07 05:33 18:29 18:55 19:2630 04:45 05:13 05:38 18:25 18:49 19:1820 04:57 05:23 05:45 18:17 18:39 19:0610 05:06 05:30 05:52 18:10 18:32 18:560 05:13 05:37 05:58 18:04 18:25 18:49-10 05:18 05:42 06:04 17:58 18:19 18:44-20 05:22 05:48 06:10 17:52 18:14 18:40-30 05:25 05:53 06:17 17:45 18:09 18:37-35 05:26 05:55 06:21 17:41 18:06 18:36-40 05:26 05:58 06:25 17:36 18:03 18:35-45 05:27 06:01 06:30 17:31 18:01 18:35-50 05:26 06:04 06:36 17:25 17:57 18:35-52 05:26 06:05 06:39 17:22 17:56 18:35-54 05:26 06:07 06:42 17:19 17:54 18:35-56 05:25 06:08 06:46 17:15 17:53 18:36-58 05:24 06:10 06:49 17:12 17:51 18:37-60 05:23 06:11 06:54 17:07 17:49 18:37

Moonrise MoonsetLat. Sat Sun Mon Sat Sun Mon72 05:50 05:26 05:01 16:43 18:35 20:3070 05:44 05:26 05:09 16:46 18:30 20:1668 05:39 05:27 05:15 16:48 18:26 20:0466 05:34 05:27 05:20 16:51 18:23 19:5564 05:31 05:28 05:25 16:53 18:20 19:4862 05:27 05:28 05:29 16:54 18:18 19:4160 05:25 05:28 05:32 16:55 18:16 19:3558 05:22 05:29 05:35 16:57 18:14 19:3056 05:20 05:29 05:38 16:58 18:12 19:2654 05:18 05:29 05:40 16:59 18:11 19:2252 05:16 05:29 05:43 16:60 18:09 19:1950 05:14 05:30 05:45 17:00 18:08 19:1545 05:11 05:30 05:49 17:02 18:05 19:0840 05:07 05:30 05:53 17:04 18:03 19:0335 05:05 05:31 05:56 17:05 18:01 18:5830 05:02 05:31 05:59 17:06 17:60 18:5320 04:58 05:31 06:04 17:08 17:57 18:4610 04:55 05:32 06:09 17:10 17:54 18:390 04:51 05:32 06:13 17:11 17:52 18:33-10 04:48 05:33 06:17 17:13 17:50 18:27-20 04:44 05:33 06:22 17:14 17:47 18:20-30 04:40 05:34 06:27 17:16 17:44 18:13-35 04:37 05:34 06:30 17:17 17:43 18:09-40 04:35 05:35 06:34 17:18 17:41 18:04-45 04:31 05:35 06:38 17:19 17:39 17:58-50 04:28 05:36 06:43 17:21 17:36 17:51-52 04:26 05:36 06:45 17:21 17:35 17:48-54 04:24 05:36 06:48 17:22 17:33 17:45-56 04:22 05:36 06:50 17:23 17:32 17:41-58 04:19 05:37 06:54 17:24 17:31 17:37-60 04:17 05:37 06:57 17:25 17:29 17:33

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower10 01:23 01:15 12:01 11:01 23:21 28(3%)11 01:07 00:59 12:00 11:42 00:02 29(0%)12 00:51 00:44 12:00 12:23 00:02 0(0%)

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April 13, 14 ,15 (Tue., Wed., Thu.)Aries Venus Mars Jupiter Saturn

Tue GHA GHA Dec GHA Dec GHA Dec GHA Dec0 201◦24.0 175◦13.1 9◦47.3 118◦23.4 24◦45.5 233◦25.6 -13◦40.6 246◦33.7 -17◦39.11 216◦26.5 190◦12.7 9◦48.5 133◦24.2 24◦45.6 248◦27.6 -13◦40.5 261◦36.0 -17◦39.02 231◦28.9 205◦12.2 9◦49.7 148◦25.0 24◦45.6 263◦29.7 -13◦40.3 276◦38.3 -17◦39.03 246◦31.4 220◦11.8 9◦50.8 163◦25.8 24◦45.7 278◦31.7 -13◦40.2 291◦40.6 -17◦39.04 261◦33.9 235◦11.3 9◦52.0 178◦26.6 24◦45.8 293◦33.7 -13◦40.0 306◦42.9 -17◦38.95 276◦36.3 250◦10.9 9◦53.2 193◦27.4 24◦45.8 308◦35.8 -13◦39.9 321◦45.2 -17◦38.96 291◦38.8 265◦10.4 9◦54.3 208◦28.2 24◦45.9 323◦37.8 -13◦39.8 336◦47.5 -17◦38.87 306◦41.3 280◦10.0 9◦55.5 223◦29.0 24◦46.0 338◦39.8 -13◦39.6 351◦49.8 -17◦38.88 321◦43.7 295◦09.6 9◦56.7 238◦29.8 24◦46.1 353◦41.9 -13◦39.5 6◦52.2 -17◦38.89 336◦46.2 310◦09.1 9◦57.9 253◦30.6 24◦46.1 8◦43.9 -13◦39.3 21◦54.5 -17◦38.710 351◦48.7 325◦08.7 9◦59.0 268◦31.4 24◦46.2 23◦45.9 -13◦39.2 36◦56.8 -17◦38.711 6◦51.1 340◦08.2 10◦00.2 283◦32.3 24◦46.3 38◦48.0 -13◦39.0 51◦59.1 -17◦38.712 21◦53.6 355◦07.8 10◦01.4 298◦33.1 24◦46.3 53◦50.0 -13◦38.9 67◦01.4 -17◦38.613 36◦56.1 10◦07.3 10◦02.5 313◦33.9 24◦46.4 68◦52.0 -13◦38.8 82◦03.7 -17◦38.614 51◦58.5 25◦06.9 10◦03.7 328◦34.7 24◦46.5 83◦54.1 -13◦38.6 97◦06.0 -17◦38.515 67◦01.0 40◦06.4 10◦04.9 343◦35.5 24◦46.5 98◦56.1 -13◦38.5 112◦08.3 -17◦38.516 82◦03.4 55◦06.0 10◦06.0 358◦36.3 24◦46.6 113◦58.1 -13◦38.3 127◦10.6 -17◦38.517 97◦05.9 70◦05.5 10◦07.2 13◦37.1 24◦46.7 129◦00.2 -13◦38.2 142◦12.9 -17◦38.418 112◦08.4 85◦05.1 10◦08.4 28◦37.9 24◦46.7 144◦02.2 -13◦38.1 157◦15.2 -17◦38.419 127◦10.8 100◦04.6 10◦09.5 43◦38.7 24◦46.8 159◦04.2 -13◦37.9 172◦17.5 -17◦38.320 142◦13.3 115◦04.2 10◦10.7 58◦39.5 24◦46.8 174◦06.3 -13◦37.8 187◦19.8 -17◦38.321 157◦15.8 130◦03.7 10◦11.9 73◦40.3 24◦46.9 189◦08.3 -13◦37.6 202◦22.1 -17◦38.322 172◦18.2 145◦03.3 10◦13.0 88◦41.1 24◦47.0 204◦10.4 -13◦37.5 217◦24.5 -17◦38.223 187◦20.7 160◦02.8 10◦14.2 103◦41.9 24◦47.0 219◦12.4 -13◦37.4 232◦26.8 -17◦38.2Mer.pass.:10:32 v-0.4 d1.2 m-3.8 v0.8 d0.1 m1.4 v2.0 d0.1 m-2.0 v2.3 d0.0 m0.8

Wed GHA GHA Dec GHA Dec GHA Dec GHA Dec0 202◦23.2 175◦02.4 10◦15.3 118◦42.7 24◦47.1 234◦14.4 -13◦37.2 247◦29.1 -17◦38.21 217◦25.6 190◦01.9 10◦16.5 133◦43.5 24◦47.2 249◦16.5 -13◦37.1 262◦31.4 -17◦38.12 232◦28.1 205◦01.5 10◦17.7 148◦44.3 24◦47.2 264◦18.5 -13◦36.9 277◦33.7 -17◦38.13 247◦30.6 220◦01.0 10◦18.8 163◦45.1 24◦47.3 279◦20.5 -13◦36.8 292◦36.0 -17◦38.04 262◦33.0 235◦00.6 10◦20.0 178◦45.9 24◦47.4 294◦22.6 -13◦36.7 307◦38.3 -17◦38.05 277◦35.5 250◦00.1 10◦21.2 193◦46.7 24◦47.4 309◦24.6 -13◦36.5 322◦40.6 -17◦38.06 292◦37.9 264◦59.7 10◦22.3 208◦47.5 24◦47.5 324◦26.7 -13◦36.4 337◦42.9 -17◦37.97 307◦40.4 279◦59.2 10◦23.5 223◦48.3 24◦47.5 339◦28.7 -13◦36.2 352◦45.2 -17◦37.98 322◦42.9 294◦58.8 10◦24.6 238◦49.1 24◦47.6 354◦30.7 -13◦36.1 7◦47.5 -17◦37.99 337◦45.3 309◦58.3 10◦25.8 253◦49.9 24◦47.7 9◦32.8 -13◦36.0 22◦49.9 -17◦37.810 352◦47.8 324◦57.9 10◦27.0 268◦50.7 24◦47.7 24◦34.8 -13◦35.8 37◦52.2 -17◦37.811 7◦50.3 339◦57.4 10◦28.1 283◦51.6 24◦47.8 39◦36.8 -13◦35.7 52◦54.5 -17◦37.712 22◦52.7 354◦56.9 10◦29.3 298◦52.4 24◦47.8 54◦38.9 -13◦35.5 67◦56.8 -17◦37.713 37◦55.2 9◦56.5 10◦30.4 313◦53.2 24◦47.9 69◦40.9 -13◦35.4 82◦59.1 -17◦37.714 52◦57.7 24◦56.0 10◦31.6 328◦54.0 24◦48.0 84◦43.0 -13◦35.2 98◦01.4 -17◦37.615 68◦00.1 39◦55.6 10◦32.7 343◦54.8 24◦48.0 99◦45.0 -13◦35.1 113◦03.7 -17◦37.616 83◦02.6 54◦55.1 10◦33.9 358◦55.6 24◦48.1 114◦47.0 -13◦35.0 128◦06.0 -17◦37.617 98◦05.0 69◦54.7 10◦35.1 13◦56.4 24◦48.1 129◦49.1 -13◦34.8 143◦08.3 -17◦37.518 113◦07.5 84◦54.2 10◦36.2 28◦57.2 24◦48.2 144◦51.1 -13◦34.7 158◦10.7 -17◦37.519 128◦10.0 99◦53.8 10◦37.4 43◦58.0 24◦48.3 159◦53.2 -13◦34.6 173◦13.0 -17◦37.420 143◦12.4 114◦53.3 10◦38.5 58◦58.8 24◦48.3 174◦55.2 -13◦34.4 188◦15.3 -17◦37.421 158◦14.9 129◦52.8 10◦39.7 73◦59.6 24◦48.4 189◦57.2 -13◦34.3 203◦17.6 -17◦37.422 173◦17.4 144◦52.4 10◦40.8 89◦00.4 24◦48.4 204◦59.3 -13◦34.1 218◦19.9 -17◦37.323 188◦19.8 159◦51.9 10◦42.0 104◦01.2 24◦48.5 220◦01.3 -13◦34.0 233◦22.2 -17◦37.3Mer.pass.:10:28 v-0.5 d1.2 m-3.8 v0.8 d0.1 m1.4 v2.0 d0.1 m-2.0 v2.3 d0.0 m0.8

Thu GHA GHA Dec GHA Dec GHA Dec GHA Dec0 203◦22.3 174◦51.5 10◦43.1 119◦02.0 24◦48.5 235◦03.4 -13◦33.9 248◦24.5 -17◦37.31 218◦24.8 189◦51.0 10◦44.3 134◦02.8 24◦48.6 250◦05.4 -13◦33.7 263◦26.8 -17◦37.22 233◦27.2 204◦50.5 10◦45.4 149◦03.6 24◦48.7 265◦07.4 -13◦33.6 278◦29.1 -17◦37.23 248◦29.7 219◦50.1 10◦46.6 164◦04.4 24◦48.7 280◦09.5 -13◦33.4 293◦31.5 -17◦37.14 263◦32.2 234◦49.6 10◦47.7 179◦05.2 24◦48.8 295◦11.5 -13◦33.3 308◦33.8 -17◦37.15 278◦34.6 249◦49.2 10◦48.9 194◦06.0 24◦48.8 310◦13.6 -13◦33.2 323◦36.1 -17◦37.16 293◦37.1 264◦48.7 10◦50.0 209◦06.8 24◦48.9 325◦15.6 -13◦33.0 338◦38.4 -17◦37.07 308◦39.5 279◦48.2 10◦51.2 224◦07.6 24◦48.9 340◦17.7 -13◦32.9 353◦40.7 -17◦37.08 323◦42.0 294◦47.8 10◦52.3 239◦08.4 24◦49.0 355◦19.7 -13◦32.7 8◦43.0 -17◦37.09 338◦44.5 309◦47.3 10◦53.5 254◦09.2 24◦49.0 10◦21.7 -13◦32.6 23◦45.3 -17◦36.910 353◦46.9 324◦46.9 10◦54.6 269◦10.0 24◦49.1 25◦23.8 -13◦32.5 38◦47.7 -17◦36.911 8◦49.4 339◦46.4 10◦55.8 284◦10.8 24◦49.1 40◦25.8 -13◦32.3 53◦50.0 -17◦36.912 23◦51.9 354◦45.9 10◦56.9 299◦11.6 24◦49.2 55◦27.9 -13◦32.2 68◦52.3 -17◦36.813 38◦54.3 9◦45.5 10◦58.1 314◦12.4 24◦49.2 70◦29.9 -13◦32.0 83◦54.6 -17◦36.814 53◦56.8 24◦45.0 10◦59.2 329◦13.2 24◦49.3 85◦32.0 -13◦31.9 98◦56.9 -17◦36.715 68◦59.3 39◦44.5 11◦00.4 344◦14.0 24◦49.4 100◦34.0 -13◦31.8 113◦59.2 -17◦36.716 84◦01.7 54◦44.1 11◦01.5 359◦14.8 24◦49.4 115◦36.0 -13◦31.6 129◦01.5 -17◦36.717 99◦04.2 69◦43.6 11◦02.7 14◦15.6 24◦49.5 130◦38.1 -13◦31.5 144◦03.9 -17◦36.618 114◦06.7 84◦43.2 11◦03.8 29◦16.4 24◦49.5 145◦40.1 -13◦31.4 159◦06.2 -17◦36.619 129◦09.1 99◦42.7 11◦05.0 44◦17.2 24◦49.6 160◦42.2 -13◦31.2 174◦08.5 -17◦36.620 144◦11.6 114◦42.2 11◦06.1 59◦18.0 24◦49.6 175◦44.2 -13◦31.1 189◦10.8 -17◦36.521 159◦14.0 129◦41.8 11◦07.3 74◦18.8 24◦49.7 190◦46.3 -13◦30.9 204◦13.1 -17◦36.522 174◦16.5 144◦41.3 11◦08.4 89◦19.6 24◦49.7 205◦48.3 -13◦30.8 219◦15.4 -17◦36.523 189◦19.0 159◦40.8 11◦09.5 104◦20.4 24◦49.8 220◦50.4 -13◦30.7 234◦17.7 -17◦36.4Mer.pass.:10:24 v-0.5 d1.2 m-3.8 v0.8 d0.1 m1.4 v2.0 d0.1 m-2.0 v2.3 d0.0 m0.8

StarsSHA Dec

Alpheratz 357◦38.3 29◦12.2Ankaa 353◦10.6 -42◦11.6

Schedar 349◦35.0 56◦39.0Diphda 348◦50.6 -17◦52.4

Achernar 335◦23.2 -57◦07.9Hamal 327◦55.0 23◦33.6Polaris 315◦53.4 89◦21.3Akamar 315◦14.5 -40◦13.4Menkar 314◦09.6 4◦10.2Mirfak 308◦33.0 49◦56.1

Aldebaran 290◦43.4 16◦33.0Rigel 281◦07.0 -8◦10.8

Capella 280◦26.7 46◦01.2Bellatrix 278◦26.3 6◦22.0Elnath 278◦05.9 28◦37.5Alnilam 275◦41.0 -1◦11.5

Betelgeuse 270◦55.5 7◦24.5Canopus 263◦53.9 -52◦42.7

Sirius 258◦28.9 -16◦44.8Adara 255◦08.3 -29◦00.3

Procyon 244◦54.0 5◦10.3Pollux 243◦21.0 27◦58.5Avior 234◦15.8 -59◦34.9Suhail 222◦48.3 -43◦31.3

Miaplacidus 221◦38.4 -69◦48.5Alphard 217◦50.6 -8◦45.2Regulus 207◦37.5 11◦51.8Dubhe 193◦44.3 61◦38.4

Denebola 182◦27.7 14◦27.2Gienah 175◦46.4 -17◦39.6Acrux 173◦02.8 -63◦13.0

Gacrux 171◦54.4 -57◦14.0Alioth 166◦15.2 55◦50.7Spica 158◦25.2 -11◦16.3Alcaid 152◦54.0 49◦12.4Hadar 148◦39.6 -60◦28.4

Menkent 148◦00.8 -36◦28.4Arcturus 145◦50.3 19◦04.6

Rigil Kent. 139◦43.8 -60◦55.2Zubenelg. 136◦59.1 -16◦07.8Kochab 137◦18.8 74◦04.0

Alphecca 126◦06.1 26◦38.5Antares 112◦19.3 -26◦28.7

Atria 107◦16.0 -69◦03.7Sabik 102◦06.1 -15◦45.0

Shaula 96◦14.3 -37◦07.0Rasalhague 96◦01.2 12◦32.6

Etamin 90◦43.4 51◦28.9Kaus Aust. 83◦36.4 -34◦22.3

Vega 80◦35.2 38◦47.9Nunki 75◦51.5 -26◦16.2Altair 62◦03.0 8◦55.2

Peacock 53◦10.7 -56◦39.8Deneb 49◦28.0 45◦21.0

Enif 33◦42.0 9◦58.1Alnair 27◦37.1 -46◦51.4

Fomalhaut 15◦18.3 -29◦30.7Scheat 13◦48.5 28◦11.6Markab 13◦33.2 15◦18.9

2021/4/1 SHA Mer.passVenus 333◦49.1 12:19Mars 276◦59.4 16:06

Jupiter 32◦01.6 08:25Saturn 45◦09.7 07:33

2021/4/1 SHA Mer.passVenus 332◦39.2 12:20Mars 276◦19.6 16:04

Jupiter 31◦51.3 08:22Saturn 45◦05.9 07:29

2021/4/1 SHA Mer.passVenus 331◦29.2 12:21Mars 275◦39.7 16:03

Jupiter 31◦41.1 08:19Saturn 45◦02.2 07:25

Horizontal paralaxVenus: 0.1Mars: 0.1

70

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2021 April 13 to Apr. 15

h Sun MoonTue GHA Dec GHA ν Dec d HP0 179◦51.0 9◦02.9 169◦23.8 15.8 9◦32.7 12.0 54.11 194◦51.1 9◦03.8 183◦58.6 15.8 9◦44.6 12.0 54.12 209◦51.3 9◦04.7 198◦33.4 15.8 9◦56.6 11.9 54.13 224◦51.4 9◦05.6 213◦08.2 15.7 10◦08.5 11.9 54.14 239◦51.6 9◦06.5 227◦42.9 15.7 10◦20.3 11.8 54.15 254◦51.7 9◦07.4 242◦17.6 15.7 10◦32.2 11.8 54.16 269◦51.9 9◦08.3 256◦52.3 15.7 10◦43.9 11.7 54.17 284◦52.1 9◦09.2 271◦26.9 15.6 10◦55.7 11.7 54.18 299◦52.2 9◦10.1 286◦01.5 15.6 11◦07.3 11.7 54.19 314◦52.4 9◦11.0 300◦36.1 15.6 11◦19.0 11.6 54.110 329◦52.5 9◦11.9 315◦10.6 15.5 11◦30.6 11.6 54.111 344◦52.7 9◦12.8 329◦45.2 15.5 11◦42.1 11.5 54.112 359◦52.8 9◦13.7 344◦19.7 15.5 11◦53.6 11.5 54.113 14◦53.0 9◦14.6 358◦54.1 15.4 12◦05.1 11.4 54.114 29◦53.1 9◦15.6 13◦28.5 15.4 12◦16.5 11.4 54.115 44◦53.3 9◦16.5 28◦02.9 15.4 12◦27.8 11.3 54.116 59◦53.5 9◦17.4 42◦37.3 15.3 12◦39.1 11.3 54.017 74◦53.6 9◦18.3 57◦11.6 15.3 12◦50.4 11.2 54.018 89◦53.8 9◦19.2 71◦45.9 15.3 13◦01.6 11.2 54.019 104◦53.9 9◦20.1 86◦20.1 15.2 13◦12.7 11.1 54.020 119◦54.1 9◦21.0 100◦54.3 15.2 13◦23.8 11.1 54.021 134◦54.2 9◦21.9 115◦28.5 15.2 13◦34.8 11.0 54.022 149◦54.4 9◦22.8 130◦02.6 15.1 13◦45.8 11.0 54.023 164◦54.5 9◦23.7 144◦36.7 15.1 13◦56.7 10.9 54.0

SD.=16.0 d=0.9 S.D.=14.8

Wed GHA Dec GHA ν Dec d HP0 179◦54.7 9◦24.6 159◦10.8 15.0 14◦07.6 10.8 54.01 194◦54.9 9◦25.5 173◦44.8 15.0 14◦18.4 10.8 54.02 209◦55.0 9◦26.4 188◦18.8 15.0 14◦29.2 10.7 54.03 224◦55.2 9◦27.3 202◦52.7 14.9 14◦39.8 10.7 54.04 239◦55.3 9◦28.2 217◦26.6 14.9 14◦50.5 10.6 54.05 254◦55.5 9◦29.1 232◦00.4 14.8 15◦01.1 10.5 54.06 269◦55.6 9◦30.0 246◦34.2 14.8 15◦11.6 10.5 54.07 284◦55.8 9◦30.9 261◦08.0 14.7 15◦22.0 10.4 54.08 299◦55.9 9◦31.8 275◦41.7 14.7 15◦32.4 10.4 54.09 314◦56.1 9◦32.7 290◦15.4 14.7 15◦42.7 10.3 54.010 329◦56.2 9◦33.6 304◦49.0 14.6 15◦53.0 10.2 54.011 344◦56.4 9◦34.5 319◦22.6 14.6 16◦03.2 10.2 54.012 359◦56.5 9◦35.4 333◦56.1 14.5 16◦13.3 10.1 54.013 14◦56.7 9◦36.3 348◦29.6 14.5 16◦23.4 10.0 54.014 29◦56.8 9◦37.2 3◦03.1 14.4 16◦33.4 10.0 54.015 44◦57.0 9◦38.1 17◦36.5 14.4 16◦43.3 9.9 54.016 59◦57.1 9◦38.9 32◦09.8 14.3 16◦53.2 9.8 54.017 74◦57.3 9◦39.8 46◦43.1 14.3 17◦03.0 9.8 54.018 89◦57.5 9◦40.7 61◦16.4 14.2 17◦12.7 9.7 54.019 104◦57.6 9◦41.6 75◦49.6 14.2 17◦22.4 9.6 54.020 119◦57.8 9◦42.5 90◦22.7 14.1 17◦31.9 9.5 54.021 134◦57.9 9◦43.4 104◦55.8 14.1 17◦41.4 9.5 54.022 149◦58.1 9◦44.3 119◦28.9 14.0 17◦50.9 9.4 54.023 164◦58.2 9◦45.2 134◦01.9 14.0 18◦00.2 9.3 54.0

SD.=15.9 d=0.9 S.D.=14.7

Thu GHA Dec GHA ν Dec d HP0 179◦58.4 9◦46.1 148◦34.9 13.9 18◦09.5 9.3 54.01 194◦58.5 9◦47.0 163◦07.8 13.9 18◦18.7 9.2 54.02 209◦58.7 9◦47.9 177◦40.6 13.8 18◦27.9 9.1 54.03 224◦58.8 9◦48.8 192◦13.4 13.8 18◦36.9 9.0 54.04 239◦59.0 9◦49.7 206◦46.2 13.7 18◦45.9 8.9 54.05 254◦59.1 9◦50.6 221◦18.9 13.7 18◦54.8 8.9 54.06 269◦59.3 9◦51.5 235◦51.5 13.6 19◦03.7 8.8 54.07 284◦59.4 9◦52.4 250◦24.1 13.6 19◦12.4 8.7 54.08 299◦59.6 9◦53.2 264◦56.6 13.5 19◦21.1 8.6 54.09 314◦59.7 9◦54.1 279◦29.1 13.5 19◦29.7 8.5 54.010 329◦59.9 9◦55.0 294◦01.5 13.4 19◦38.2 8.5 54.011 345◦00.0 9◦55.9 308◦33.9 13.4 19◦46.6 8.4 54.012 0◦00.2 9◦56.8 323◦06.3 13.3 19◦54.9 8.3 54.013 15◦00.3 9◦57.7 337◦38.5 13.2 20◦03.2 8.2 54.014 30◦00.5 9◦58.6 352◦10.7 13.2 20◦11.3 8.1 54.015 45◦00.6 9◦59.5 6◦42.9 13.1 20◦19.4 8.0 54.016 60◦00.8 10◦00.4 21◦15.0 13.1 20◦27.4 8.0 54.017 75◦00.9 10◦01.3 35◦47.1 13.0 20◦35.3 7.9 54.018 90◦01.0 10◦02.2 50◦19.1 13.0 20◦43.1 7.8 54.019 105◦01.2 10◦03.0 64◦51.0 12.9 20◦50.9 7.7 54.120 120◦01.3 10◦03.9 79◦22.9 12.9 20◦58.5 7.6 54.121 135◦01.5 10◦04.8 93◦54.7 12.8 21◦06.1 7.5 54.122 150◦01.6 10◦05.7 108◦26.5 12.7 21◦13.5 7.4 54.123 165◦01.8 10◦06.6 122◦58.2 12.7 21◦20.9 7.3 54.1

SD.=15.9 d=0.9 S.D.=14.7

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 –:– 02:05 03:44 20:20 22:03 –:–70 –:– 02:40 03:60 20:04 21:26 –:–68 00:53 03:04 04:13 19:50 21:00 23:2666 01:48 03:23 04:23 19:40 20:41 22:1964 02:19 03:38 04:32 19:30 20:26 21:4662 02:42 03:50 04:40 19:23 20:13 21:2260 02:59 04:00 04:46 19:16 20:02 21:0458 03:14 04:09 04:52 19:10 19:53 20:4956 03:26 04:17 04:57 19:05 19:45 20:3754 03:36 04:24 05:01 19:00 19:38 20:2652 03:45 04:30 05:05 18:56 19:32 20:1750 03:53 04:35 05:09 18:53 19:27 20:0945 04:10 04:46 05:17 18:44 19:15 19:5240 04:22 04:56 05:24 18:38 19:06 19:3935 04:32 05:03 05:29 18:32 18:58 19:2930 04:41 05:10 05:34 18:27 18:51 19:2020 04:54 05:20 05:43 18:18 18:40 19:0710 05:04 05:29 05:50 18:10 18:32 18:570 05:12 05:36 05:57 18:04 18:25 18:49-10 05:18 05:42 06:04 17:57 18:18 18:43-20 05:23 05:48 06:11 17:50 18:12 18:38-30 05:27 05:54 06:19 17:41 18:06 18:34-35 05:28 05:58 06:23 17:37 18:02 18:32-40 05:29 06:01 06:28 17:32 17:59 18:31-45 05:30 06:04 06:34 17:26 17:55 18:29-50 05:31 06:08 06:41 17:19 17:51 18:29-52 05:31 06:10 06:44 17:15 17:50 18:29-54 05:31 06:12 06:48 17:12 17:48 18:29-56 05:31 06:14 06:52 17:08 17:46 18:29-58 05:30 06:16 06:56 17:03 17:43 18:29-60 05:30 06:18 07:01 16:59 17:41 18:29

Moonrise MoonsetLat. Tue Wed Thu Tue Wed Thu72 04:33 03:54 –:– 22:37 –:– –:–70 04:49 04:24 03:41 22:08 –:– 00:2368 05:02 04:47 04:25 21:47 23:40 –:–66 05:13 05:05 04:55 21:30 23:11 –:–64 05:22 05:19 05:17 21:17 22:49 –:–62 05:30 05:32 05:35 21:06 22:32 23:6060 05:37 05:42 05:50 20:56 22:18 23:4058 05:42 05:51 06:03 20:48 22:06 23:2356 05:48 05:59 06:14 20:40 21:55 23:0954 05:53 06:07 06:24 20:34 21:46 22:5752 05:57 06:13 06:33 20:28 21:38 22:4750 06:01 06:19 06:41 20:23 21:30 22:3845 06:09 06:32 06:57 20:11 21:15 22:1840 06:17 06:42 07:11 20:02 21:02 22:0235 06:23 06:51 07:23 19:54 20:51 21:4830 06:28 06:59 07:33 19:47 20:42 21:3720 06:38 07:13 07:51 19:35 20:25 21:1710 06:46 07:25 08:07 19:25 20:11 20:600 06:54 07:37 08:21 19:15 19:58 20:43-10 07:02 07:48 08:36 19:05 19:45 20:27-20 07:11 08:01 08:52 18:55 19:31 20:10-30 07:21 08:15 09:10 18:43 19:15 19:51-35 07:27 08:23 09:21 18:36 19:06 19:39-40 07:33 08:33 09:33 18:28 18:55 19:26-45 07:41 08:44 09:48 18:19 18:43 19:11-50 07:50 08:58 10:05 18:08 18:28 18:52-52 07:55 09:04 10:14 18:03 18:21 18:43-54 07:59 09:11 10:23 17:58 18:13 18:33-56 08:05 09:19 10:34 17:52 18:05 18:22-58 08:10 09:28 10:46 17:45 17:55 18:09-60 08:17 09:39 11:01 17:38 17:44 17:54

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower13 00:36 00:29 12:00 13:04 00:43 1(2%)14 00:21 00:14 12:00 13:47 01:25 2(5%)15 00:07 00:01 11:59 14:32 02:09 3(10%)

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April 16, 17 ,18 (Fri., Sat., Sun.)Aries Venus Mars Jupiter Saturn

Fri GHA GHA Dec GHA Dec GHA Dec GHA Dec0 204◦21.4 174◦40.4 11◦10.7 119◦21.2 24◦49.8 235◦52.4 -13◦30.5 249◦20.1 -17◦36.41 219◦23.9 189◦39.9 11◦11.8 134◦22.0 24◦49.9 250◦54.5 -13◦30.4 264◦22.4 -17◦36.32 234◦26.4 204◦39.4 11◦13.0 149◦22.8 24◦49.9 265◦56.5 -13◦30.2 279◦24.7 -17◦36.33 249◦28.8 219◦39.0 11◦14.1 164◦23.6 24◦50.0 280◦58.5 -13◦30.1 294◦27.0 -17◦36.34 264◦31.3 234◦38.5 11◦15.2 179◦24.4 24◦50.0 296◦00.6 -13◦30.0 309◦29.3 -17◦36.25 279◦33.8 249◦38.0 11◦16.4 194◦25.2 24◦50.1 311◦02.6 -13◦29.8 324◦31.6 -17◦36.26 294◦36.2 264◦37.6 11◦17.5 209◦26.0 24◦50.1 326◦04.7 -13◦29.7 339◦34.0 -17◦36.27 309◦38.7 279◦37.1 11◦18.7 224◦26.8 24◦50.1 341◦06.7 -13◦29.6 354◦36.3 -17◦36.18 324◦41.1 294◦36.6 11◦19.8 239◦27.6 24◦50.2 356◦08.8 -13◦29.4 9◦38.6 -17◦36.19 339◦43.6 309◦36.1 11◦20.9 254◦28.4 24◦50.2 11◦10.8 -13◦29.3 24◦40.9 -17◦36.110 354◦46.1 324◦35.7 11◦22.1 269◦29.2 24◦50.3 26◦12.9 -13◦29.1 39◦43.2 -17◦36.011 9◦48.5 339◦35.2 11◦23.2 284◦30.0 24◦50.3 41◦14.9 -13◦29.0 54◦45.5 -17◦36.012 24◦51.0 354◦34.7 11◦24.4 299◦30.8 24◦50.4 56◦17.0 -13◦28.9 69◦47.9 -17◦36.013 39◦53.5 9◦34.3 11◦25.5 314◦31.6 24◦50.4 71◦19.0 -13◦28.7 84◦50.2 -17◦35.914 54◦55.9 24◦33.8 11◦26.6 329◦32.4 24◦50.5 86◦21.1 -13◦28.6 99◦52.5 -17◦35.915 69◦58.4 39◦33.3 11◦27.8 344◦33.2 24◦50.5 101◦23.1 -13◦28.5 114◦54.8 -17◦35.816 85◦00.9 54◦32.8 11◦28.9 359◦34.0 24◦50.6 116◦25.2 -13◦28.3 129◦57.1 -17◦35.817 100◦03.3 69◦32.4 11◦30.0 14◦34.8 24◦50.6 131◦27.2 -13◦28.2 144◦59.5 -17◦35.818 115◦05.8 84◦31.9 11◦31.2 29◦35.6 24◦50.7 146◦29.3 -13◦28.0 160◦01.8 -17◦35.719 130◦08.3 99◦31.4 11◦32.3 44◦36.4 24◦50.7 161◦31.3 -13◦27.9 175◦04.1 -17◦35.720 145◦10.7 114◦31.0 11◦33.4 59◦37.2 24◦50.7 176◦33.4 -13◦27.8 190◦06.4 -17◦35.721 160◦13.2 129◦30.5 11◦34.6 74◦38.0 24◦50.8 191◦35.4 -13◦27.6 205◦08.7 -17◦35.622 175◦15.6 144◦30.0 11◦35.7 89◦38.8 24◦50.8 206◦37.5 -13◦27.5 220◦11.0 -17◦35.623 190◦18.1 159◦29.5 11◦36.8 104◦39.6 24◦50.9 221◦39.5 -13◦27.4 235◦13.4 -17◦35.6Mer.pass.:10:20 v-0.5 d1.1 m-3.8 v0.8 d0.0 m1.4 v2.0 d0.1 m-2.0 v2.3 d0.0 m0.7

Sat GHA GHA Dec GHA Dec GHA Dec GHA Dec0 205◦20.6 174◦29.1 11◦38.0 119◦40.4 24◦50.9 236◦41.6 -13◦27.2 250◦15.7 -17◦35.51 220◦23.0 189◦28.6 11◦39.1 134◦41.2 24◦51.0 251◦43.6 -13◦27.1 265◦18.0 -17◦35.52 235◦25.5 204◦28.1 11◦40.2 149◦42.0 24◦51.0 266◦45.7 -13◦26.9 280◦20.3 -17◦35.53 250◦28.0 219◦27.6 11◦41.3 164◦42.8 24◦51.0 281◦47.7 -13◦26.8 295◦22.6 -17◦35.44 265◦30.4 234◦27.2 11◦42.5 179◦43.6 24◦51.1 296◦49.8 -13◦26.7 310◦25.0 -17◦35.45 280◦32.9 249◦26.7 11◦43.6 194◦44.4 24◦51.1 311◦51.8 -13◦26.5 325◦27.3 -17◦35.46 295◦35.4 264◦26.2 11◦44.7 209◦45.2 24◦51.2 326◦53.9 -13◦26.4 340◦29.6 -17◦35.37 310◦37.8 279◦25.7 11◦45.9 224◦46.0 24◦51.2 341◦55.9 -13◦26.3 355◦31.9 -17◦35.38 325◦40.3 294◦25.2 11◦47.0 239◦46.8 24◦51.2 356◦58.0 -13◦26.1 10◦34.2 -17◦35.39 340◦42.8 309◦24.8 11◦48.1 254◦47.6 24◦51.3 12◦00.0 -13◦26.0 25◦36.6 -17◦35.210 355◦45.2 324◦24.3 11◦49.2 269◦48.4 24◦51.3 27◦02.1 -13◦25.9 40◦38.9 -17◦35.211 10◦47.7 339◦23.8 11◦50.4 284◦49.2 24◦51.4 42◦04.1 -13◦25.7 55◦41.2 -17◦35.112 25◦50.1 354◦23.3 11◦51.5 299◦50.0 24◦51.4 57◦06.2 -13◦25.6 70◦43.5 -17◦35.113 40◦52.6 9◦22.8 11◦52.6 314◦50.8 24◦51.4 72◦08.2 -13◦25.4 85◦45.8 -17◦35.114 55◦55.1 24◦22.4 11◦53.7 329◦51.6 24◦51.5 87◦10.3 -13◦25.3 100◦48.2 -17◦35.015 70◦57.5 39◦21.9 11◦54.9 344◦52.4 24◦51.5 102◦12.3 -13◦25.2 115◦50.5 -17◦35.016 86◦00.0 54◦21.4 11◦56.0 359◦53.2 24◦51.5 117◦14.4 -13◦25.0 130◦52.8 -17◦35.017 101◦02.5 69◦20.9 11◦57.1 14◦54.0 24◦51.6 132◦16.4 -13◦24.9 145◦55.1 -17◦34.918 116◦04.9 84◦20.4 11◦58.2 29◦54.8 24◦51.6 147◦18.5 -13◦24.8 160◦57.5 -17◦34.919 131◦07.4 99◦20.0 11◦59.4 44◦55.6 24◦51.7 162◦20.6 -13◦24.6 175◦59.8 -17◦34.920 146◦09.9 114◦19.5 12◦00.5 59◦56.4 24◦51.7 177◦22.6 -13◦24.5 191◦02.1 -17◦34.821 161◦12.3 129◦19.0 12◦01.6 74◦57.2 24◦51.7 192◦24.7 -13◦24.4 206◦04.4 -17◦34.822 176◦14.8 144◦18.5 12◦02.7 89◦58.0 24◦51.8 207◦26.7 -13◦24.2 221◦06.7 -17◦34.823 191◦17.3 159◦18.0 12◦03.8 104◦58.8 24◦51.8 222◦28.8 -13◦24.1 236◦09.1 -17◦34.7Mer.pass.:10:16 v-0.5 d1.1 m-3.8 v0.8 d0.0 m1.4 v2.1 d0.1 m-2.0 v2.3 d0.0 m0.7

Sun GHA GHA Dec GHA Dec GHA Dec GHA Dec0 206◦19.7 174◦17.5 12◦05.0 119◦59.6 24◦51.8 237◦30.8 -13◦24.0 251◦11.4 -17◦34.71 221◦22.2 189◦17.1 12◦06.1 135◦00.4 24◦51.9 252◦32.9 -13◦23.8 266◦13.7 -17◦34.72 236◦24.6 204◦16.6 12◦07.2 150◦01.2 24◦51.9 267◦34.9 -13◦23.7 281◦16.0 -17◦34.63 251◦27.1 219◦16.1 12◦08.3 165◦02.0 24◦51.9 282◦37.0 -13◦23.5 296◦18.4 -17◦34.64 266◦29.6 234◦15.6 12◦09.4 180◦02.8 24◦52.0 297◦39.0 -13◦23.4 311◦20.7 -17◦34.65 281◦32.0 249◦15.1 12◦10.5 195◦03.6 24◦52.0 312◦41.1 -13◦23.3 326◦23.0 -17◦34.56 296◦34.5 264◦14.6 12◦11.7 210◦04.4 24◦52.0 327◦43.2 -13◦23.1 341◦25.3 -17◦34.57 311◦37.0 279◦14.2 12◦12.8 225◦05.2 24◦52.1 342◦45.2 -13◦23.0 356◦27.7 -17◦34.58 326◦39.4 294◦13.7 12◦13.9 240◦06.0 24◦52.1 357◦47.3 -13◦22.9 11◦30.0 -17◦34.49 341◦41.9 309◦13.2 12◦15.0 255◦06.8 24◦52.1 12◦49.3 -13◦22.7 26◦32.3 -17◦34.410 356◦44.4 324◦12.7 12◦16.1 270◦07.6 24◦52.2 27◦51.4 -13◦22.6 41◦34.6 -17◦34.411 11◦46.8 339◦12.2 12◦17.2 285◦08.4 24◦52.2 42◦53.4 -13◦22.5 56◦37.0 -17◦34.312 26◦49.3 354◦11.7 12◦18.3 300◦09.2 24◦52.2 57◦55.5 -13◦22.3 71◦39.3 -17◦34.313 41◦51.7 9◦11.2 12◦19.5 315◦10.0 24◦52.3 72◦57.6 -13◦22.2 86◦41.6 -17◦34.314 56◦54.2 24◦10.7 12◦20.6 330◦10.8 24◦52.3 87◦59.6 -13◦22.1 101◦43.9 -17◦34.215 71◦56.7 39◦10.2 12◦21.7 345◦11.6 24◦52.3 103◦01.7 -13◦21.9 116◦46.3 -17◦34.216 86◦59.1 54◦09.8 12◦22.8 0◦12.4 24◦52.4 118◦03.7 -13◦21.8 131◦48.6 -17◦34.217 102◦01.6 69◦09.3 12◦23.9 15◦13.2 24◦52.4 133◦05.8 -13◦21.7 146◦50.9 -17◦34.118 117◦04.1 84◦08.8 12◦25.0 30◦14.0 24◦52.4 148◦07.8 -13◦21.5 161◦53.2 -17◦34.119 132◦06.5 99◦08.3 12◦26.1 45◦14.8 24◦52.5 163◦09.9 -13◦21.4 176◦55.6 -17◦34.120 147◦09.0 114◦07.8 12◦27.2 60◦15.6 24◦52.5 178◦12.0 -13◦21.3 191◦57.9 -17◦34.021 162◦11.5 129◦07.3 12◦28.3 75◦16.4 24◦52.5 193◦14.0 -13◦21.1 207◦00.2 -17◦34.022 177◦13.9 144◦06.8 12◦29.5 90◦17.2 24◦52.5 208◦16.1 -13◦21.0 222◦02.5 -17◦34.023 192◦16.4 159◦06.3 12◦30.6 105◦18.0 24◦52.6 223◦18.1 -13◦20.9 237◦04.9 -17◦33.9Mer.pass.:10:13 v-0.5 d1.1 m-3.8 v0.8 d0.0 m1.4 v2.1 d0.1 m-2.0 v2.3 d0.0 m0.7

StarsSHA Dec

Alpheratz 357◦38.3 29◦12.2Ankaa 353◦10.6 -42◦11.5

Schedar 349◦35.0 56◦39.0Diphda 348◦50.6 -17◦52.4

Achernar 335◦23.2 -57◦07.9Hamal 327◦55.0 23◦33.6Polaris 315◦53.6 89◦21.2Akamar 315◦14.5 -40◦13.4Menkar 314◦09.6 4◦10.2Mirfak 308◦33.1 49◦56.1

Aldebaran 290◦43.4 16◦33.0Rigel 281◦07.0 -8◦10.8

Capella 280◦26.7 46◦01.2Bellatrix 278◦26.3 6◦22.0Elnath 278◦06.0 28◦37.5Alnilam 275◦41.0 -1◦11.5

Betelgeuse 270◦55.6 7◦24.5Canopus 263◦53.9 -52◦42.7

Sirius 258◦28.9 -16◦44.8Adara 255◦08.3 -29◦00.3

Procyon 244◦54.0 5◦10.3Pollux 243◦21.0 27◦58.5Avior 234◦15.8 -59◦34.9Suhail 222◦48.4 -43◦31.3

Miaplacidus 221◦38.5 -69◦48.5Alphard 217◦50.6 -8◦45.2Regulus 207◦37.5 11◦51.8Dubhe 193◦44.3 61◦38.4

Denebola 182◦27.7 14◦27.2Gienah 175◦46.4 -17◦39.6Acrux 173◦02.7 -63◦13.1

Gacrux 171◦54.4 -57◦14.0Alioth 166◦15.2 55◦50.8Spica 158◦25.2 -11◦16.3Alcaid 152◦54.0 49◦12.5Hadar 148◦39.6 -60◦28.4

Menkent 148◦00.8 -36◦28.4Arcturus 145◦50.2 19◦04.6

Rigil Kent. 139◦43.8 -60◦55.3Zubenelg. 136◦59.1 -16◦07.8Kochab 137◦18.8 74◦04.0

Alphecca 126◦06.1 26◦38.5Antares 112◦19.3 -26◦28.7

Atria 107◦15.9 -69◦03.7Sabik 102◦06.1 -15◦45.0

Shaula 96◦14.3 -37◦07.0Rasalhague 96◦01.2 12◦32.6

Etamin 90◦43.4 51◦28.9Kaus Aust. 83◦36.4 -34◦22.3

Vega 80◦35.2 38◦47.9Nunki 75◦51.5 -26◦16.1Altair 62◦03.0 8◦55.2

Peacock 53◦10.7 -56◦39.8Deneb 49◦27.9 45◦21.0

Enif 33◦42.0 9◦58.1Alnair 27◦37.1 -46◦51.4

Fomalhaut 15◦18.3 -29◦30.6Scheat 13◦48.4 28◦11.6Markab 13◦33.2 15◦18.9

2021/4/1 SHA Mer.passVenus 330◦18.9 12:22Mars 274◦59.8 16:02

Jupiter 31◦31.0 08:15Saturn 44◦58.6 07:22

2021/4/1 SHA Mer.passVenus 329◦08.5 12:22Mars 274◦19.9 16:00

Jupiter 31◦21.0 08:12Saturn 44◦55.1 07:18

2021/4/1 SHA Mer.passVenus 327◦57.8 12:23Mars 273◦39.9 15:59

Jupiter 31◦11.1 08:09Saturn 44◦51.7 07:14

Horizontal paralaxVenus: 0.1Mars: 0.1

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2021 April 16 to Apr. 18

h Sun MoonFri GHA Dec GHA ν Dec d HP0 180◦01.9 10◦07.5 137◦29.9 12.6 21◦28.2 7.2 54.11 195◦02.1 10◦08.4 152◦01.5 12.6 21◦35.4 7.1 54.12 210◦02.2 10◦09.3 166◦33.0 12.5 21◦42.5 7.0 54.13 225◦02.4 10◦10.1 181◦04.5 12.5 21◦49.5 7.0 54.14 240◦02.5 10◦11.0 195◦36.0 12.4 21◦56.4 6.9 54.15 255◦02.7 10◦11.9 210◦07.4 12.4 22◦03.2 6.8 54.16 270◦02.8 10◦12.8 224◦38.7 12.3 22◦09.9 6.7 54.17 285◦03.0 10◦13.7 239◦10.0 12.3 22◦16.5 6.6 54.18 300◦03.1 10◦14.6 253◦41.2 12.2 22◦23.0 6.5 54.19 315◦03.3 10◦15.5 268◦12.4 12.1 22◦29.4 6.4 54.110 330◦03.4 10◦16.3 282◦43.5 12.1 22◦35.7 6.3 54.211 345◦03.5 10◦17.2 297◦14.6 12.0 22◦42.0 6.2 54.212 0◦03.7 10◦18.1 311◦45.6 12.0 22◦48.1 6.1 54.213 15◦03.8 10◦19.0 326◦16.5 11.9 22◦54.1 6.0 54.214 30◦04.0 10◦19.9 340◦47.4 11.9 23◦00.0 5.9 54.215 45◦04.1 10◦20.8 355◦18.3 11.8 23◦05.8 5.8 54.216 60◦04.3 10◦21.6 9◦49.1 11.8 23◦11.5 5.7 54.217 75◦04.4 10◦22.5 24◦19.8 11.7 23◦17.1 5.6 54.218 90◦04.6 10◦23.4 38◦50.5 11.7 23◦22.6 5.4 54.219 105◦04.7 10◦24.3 53◦21.1 11.6 23◦28.0 5.3 54.220 120◦04.8 10◦25.2 67◦51.7 11.6 23◦33.3 5.2 54.321 135◦05.0 10◦26.0 82◦22.2 11.5 23◦38.5 5.1 54.322 150◦05.1 10◦26.9 96◦52.7 11.4 23◦43.6 5.0 54.323 165◦05.3 10◦27.8 111◦23.1 11.4 23◦48.5 4.9 54.3

SD.=15.9 d=0.9 S.D.=14.8

Sat GHA Dec GHA ν Dec d HP0 180◦05.4 10◦28.7 125◦53.5 11.3 23◦53.4 4.8 54.31 195◦05.6 10◦29.6 140◦23.8 11.3 23◦58.1 4.7 54.32 210◦05.7 10◦30.4 154◦54.1 11.2 24◦02.8 4.6 54.33 225◦05.8 10◦31.3 169◦24.3 11.2 24◦07.3 4.5 54.34 240◦06.0 10◦32.2 183◦54.4 11.1 24◦11.7 4.4 54.35 255◦06.1 10◦33.1 198◦24.6 11.1 24◦16.0 4.2 54.46 270◦06.3 10◦34.0 212◦54.6 11.0 24◦20.2 4.1 54.47 285◦06.4 10◦34.8 227◦24.7 11.0 24◦24.3 4.0 54.48 300◦06.6 10◦35.7 241◦54.6 10.9 24◦28.3 3.9 54.49 315◦06.7 10◦36.6 256◦24.6 10.9 24◦32.1 3.8 54.410 330◦06.8 10◦37.5 270◦54.4 10.9 24◦35.9 3.7 54.411 345◦07.0 10◦38.3 285◦24.3 10.8 24◦39.5 3.6 54.412 0◦07.1 10◦39.2 299◦54.0 10.8 24◦43.0 3.4 54.513 15◦07.3 10◦40.1 314◦23.8 10.7 24◦46.4 3.3 54.514 30◦07.4 10◦41.0 328◦53.5 10.7 24◦49.6 3.2 54.515 45◦07.6 10◦41.8 343◦23.1 10.6 24◦52.8 3.1 54.516 60◦07.7 10◦42.7 357◦52.7 10.6 24◦55.8 3.0 54.517 75◦07.8 10◦43.6 12◦22.3 10.5 24◦58.8 2.9 54.518 90◦08.0 10◦44.5 26◦51.8 10.5 25◦01.6 2.7 54.619 105◦08.1 10◦45.3 41◦21.3 10.5 25◦04.2 2.6 54.620 120◦08.3 10◦46.2 55◦50.8 10.4 25◦06.8 2.5 54.621 135◦08.4 10◦47.1 70◦20.2 10.4 25◦09.2 2.4 54.622 150◦08.5 10◦48.0 84◦49.5 10.3 25◦11.6 2.3 54.623 165◦08.7 10◦48.8 99◦18.8 10.3 25◦13.8 2.1 54.6

SD.=15.9 d=0.9 S.D.=14.8

Sun GHA Dec GHA ν Dec d HP0 180◦08.8 10◦49.7 113◦48.1 10.3 25◦15.8 2.0 54.71 195◦09.0 10◦50.6 128◦17.4 10.2 25◦17.8 1.9 54.72 210◦09.1 10◦51.5 142◦46.6 10.2 25◦19.6 1.8 54.73 225◦09.2 10◦52.3 157◦15.7 10.2 25◦21.3 1.6 54.74 240◦09.4 10◦53.2 171◦44.9 10.1 25◦22.9 1.5 54.75 255◦09.5 10◦54.1 186◦14.0 10.1 25◦24.4 1.4 54.76 270◦09.6 10◦54.9 200◦43.0 10.0 25◦25.7 1.3 54.87 285◦09.8 10◦55.8 215◦12.1 10.0 25◦26.9 1.1 54.88 300◦09.9 10◦56.7 229◦41.1 10.0 25◦28.0 1.0 54.89 315◦10.1 10◦57.6 244◦10.0 10.0 25◦28.9 0.9 54.810 330◦10.2 10◦58.4 258◦39.0 9.9 25◦29.8 0.8 54.811 345◦10.3 10◦59.3 273◦07.9 9.9 25◦30.5 0.6 54.912 0◦10.5 11◦00.2 287◦36.7 9.9 25◦31.1 0.5 54.913 15◦10.6 11◦01.0 302◦05.6 9.8 25◦31.5 0.4 54.914 30◦10.7 11◦01.9 316◦34.4 9.8 25◦31.8 0.3 54.915 45◦10.9 11◦02.8 331◦03.2 9.8 25◦32.0 0.1 55.016 60◦11.0 11◦03.6 345◦32.0 9.8 25◦32.1 0.0 55.017 75◦11.2 11◦04.5 0◦00.7 9.7 25◦32.0 -0.1 55.018 90◦11.3 11◦05.4 14◦29.4 9.7 25◦31.8 -0.3 55.019 105◦11.4 11◦06.2 28◦58.1 9.7 25◦31.5 -0.4 55.020 120◦11.6 11◦07.1 43◦26.8 9.7 25◦31.1 -0.5 55.121 135◦11.7 11◦08.0 57◦55.4 9.6 25◦30.5 -0.6 55.122 150◦11.8 11◦08.8 72◦24.0 9.6 25◦29.8 -0.8 55.123 165◦12.0 11◦09.7 86◦52.6 9.6 25◦29.0 -0.9 55.1

SD.=15.9 d=0.9 S.D.=14.9

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 –:– 01:35 03:26 20:37 22:34 –:–70 –:– 02:19 03:45 20:17 21:46 –:–68 –:– 02:48 03:60 20:02 21:16 –:–66 01:22 03:09 04:12 19:50 20:54 22:4664 02:01 03:25 04:21 19:40 20:37 22:0362 02:27 03:39 04:30 19:31 20:23 21:3660 02:47 03:50 04:37 19:24 20:11 21:1558 03:03 04:00 04:44 19:17 20:01 20:5856 03:16 04:09 04:49 19:11 19:52 20:4554 03:28 04:16 04:54 19:06 19:45 20:3352 03:37 04:23 04:59 19:01 19:38 20:2350 03:46 04:28 05:03 18:57 19:32 20:1545 04:04 04:41 05:12 18:48 19:19 19:5740 04:17 04:51 05:19 18:41 19:09 19:4335 04:28 04:59 05:25 18:34 19:00 19:3230 04:37 05:06 05:31 18:29 18:53 19:2220 04:51 05:18 05:40 18:19 18:41 19:0810 05:02 05:27 05:49 18:11 18:32 18:570 05:11 05:35 05:56 18:03 18:24 18:48-10 05:18 05:42 06:04 17:55 18:17 18:41-20 05:23 05:49 06:12 17:47 18:10 18:35-30 05:28 05:56 06:20 17:38 18:03 18:30-35 05:30 05:60 06:25 17:33 17:59 18:28-40 05:32 06:04 06:31 17:27 17:55 18:26-45 05:34 06:08 06:38 17:21 17:50 18:25-50 05:35 06:13 06:46 17:13 17:46 18:23-52 05:36 06:15 06:49 17:09 17:43 18:23-54 05:36 06:17 06:53 17:05 17:41 18:22-56 05:36 06:19 06:58 17:01 17:39 18:22-58 05:36 06:22 07:03 16:56 17:36 18:21-60 05:37 06:25 07:08 16:50 17:33 18:21

Moonrise MoonsetLat. Fri Sat Sun Fri Sat Sun72 –:– –:– –:– –:– –:– –:–70 –:– –:– –:– –:– –:– –:–68 03:30 –:– –:– 02:11 –:– –:–66 04:40 –:– –:– 01:01 –:– –:–64 05:16 05:18 05:32 00:25 02:03 03:3462 05:42 05:57 06:26 –:– 01:25 02:4060 06:03 06:24 06:59 –:– 00:59 02:0858 06:20 06:45 07:23 –:– 00:38 01:4456 06:34 07:02 07:42 –:– 00:21 01:2554 06:47 07:17 07:58 –:– 00:06 01:0952 06:58 07:30 08:12 23:54 –:– 00:5550 07:07 07:41 08:25 23:42 –:– 00:4345 07:28 08:05 08:50 23:19 –:– 00:1740 07:45 08:24 09:10 23:01 23:57 –:–35 07:59 08:40 09:27 22:45 23:41 –:–30 08:11 08:54 09:41 22:32 23:26 –:–20 08:32 09:17 10:06 22:09 23:02 23:5410 08:51 09:38 10:27 21:50 22:41 23:320 09:08 09:57 10:47 21:31 22:21 23:12-10 09:25 10:16 11:07 21:13 22:01 22:52-20 09:44 10:36 11:29 20:53 21:40 22:31-30 10:05 11:00 11:54 20:31 21:16 22:06-35 10:18 11:14 12:09 20:17 21:01 21:51-40 10:33 11:31 12:26 20:02 20:45 21:34-45 10:50 11:50 12:46 19:44 20:25 21:14-50 11:12 12:15 13:12 19:22 20:00 20:48-52 11:22 12:27 13:24 19:11 19:48 20:36-54 11:34 12:40 13:38 18:59 19:34 20:22-56 11:47 12:56 13:55 18:45 19:18 20:05-58 12:03 13:15 14:15 18:29 18:60 19:45-60 12:22 13:38 14:40 18:10 18:36 19:20

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower16 00:08 00:15 11:59 15:19 02:55 4(16%)17 00:22 00:29 11:59 16:08 03:43 5(24%)18 00:35 00:42 11:59 16:59 04:34 6(33%)

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April 19, 20 ,21 (Mon., Tue., Wed.)Aries Venus Mars Jupiter Saturn

Mon GHA GHA Dec GHA Dec GHA Dec GHA Dec0 207◦18.9 174◦05.8 12◦31.7 120◦18.8 24◦52.6 238◦20.2 -13◦20.7 252◦07.2 -17◦33.91 222◦21.3 189◦05.3 12◦32.8 135◦19.6 24◦52.6 253◦22.3 -13◦20.6 267◦09.5 -17◦33.92 237◦23.8 204◦04.8 12◦33.9 150◦20.4 24◦52.7 268◦24.3 -13◦20.5 282◦11.8 -17◦33.83 252◦26.2 219◦04.3 12◦35.0 165◦21.2 24◦52.7 283◦26.4 -13◦20.3 297◦14.2 -17◦33.84 267◦28.7 234◦03.9 12◦36.1 180◦22.0 24◦52.7 298◦28.4 -13◦20.2 312◦16.5 -17◦33.85 282◦31.2 249◦03.4 12◦37.2 195◦22.8 24◦52.7 313◦30.5 -13◦20.0 327◦18.8 -17◦33.76 297◦33.6 264◦02.9 12◦38.3 210◦23.6 24◦52.8 328◦32.6 -13◦19.9 342◦21.1 -17◦33.77 312◦36.1 279◦02.4 12◦39.4 225◦24.3 24◦52.8 343◦34.6 -13◦19.8 357◦23.5 -17◦33.78 327◦38.6 294◦01.9 12◦40.5 240◦25.1 24◦52.8 358◦36.7 -13◦19.6 12◦25.8 -17◦33.69 342◦41.0 309◦01.4 12◦41.6 255◦25.9 24◦52.8 13◦38.7 -13◦19.5 27◦28.1 -17◦33.610 357◦43.5 324◦00.9 12◦42.7 270◦26.7 24◦52.9 28◦40.8 -13◦19.4 42◦30.5 -17◦33.611 12◦46.0 339◦00.4 12◦43.8 285◦27.5 24◦52.9 43◦42.9 -13◦19.2 57◦32.8 -17◦33.512 27◦48.4 353◦59.9 12◦44.9 300◦28.3 24◦52.9 58◦44.9 -13◦19.1 72◦35.1 -17◦33.513 42◦50.9 8◦59.4 12◦46.0 315◦29.1 24◦52.9 73◦47.0 -13◦19.0 87◦37.4 -17◦33.514 57◦53.4 23◦58.9 12◦47.1 330◦29.9 24◦53.0 88◦49.1 -13◦18.8 102◦39.8 -17◦33.415 72◦55.8 38◦58.4 12◦48.2 345◦30.7 24◦53.0 103◦51.1 -13◦18.7 117◦42.1 -17◦33.416 87◦58.3 53◦57.9 12◦49.3 0◦31.5 24◦53.0 118◦53.2 -13◦18.6 132◦44.4 -17◦33.417 103◦00.7 68◦57.4 12◦50.4 15◦32.3 24◦53.0 133◦55.2 -13◦18.4 147◦46.8 -17◦33.318 118◦03.2 83◦56.9 12◦51.5 30◦33.1 24◦53.1 148◦57.3 -13◦18.3 162◦49.1 -17◦33.319 133◦05.7 98◦56.4 12◦52.6 45◦33.9 24◦53.1 163◦59.4 -13◦18.2 177◦51.4 -17◦33.320 148◦08.1 113◦55.9 12◦53.7 60◦34.7 24◦53.1 179◦01.4 -13◦18.1 192◦53.7 -17◦33.221 163◦10.6 128◦55.4 12◦54.8 75◦35.5 24◦53.1 194◦03.5 -13◦17.9 207◦56.1 -17◦33.222 178◦13.1 143◦54.9 12◦55.9 90◦36.3 24◦53.1 209◦05.6 -13◦17.8 222◦58.4 -17◦33.223 193◦15.5 158◦54.4 12◦57.0 105◦37.1 24◦53.2 224◦07.6 -13◦17.7 238◦00.7 -17◦33.2Mer.pass.:10:09 v-0.5 d1.1 m-3.8 v0.8 d0.0 m1.5 v2.1 d0.1 m-2.0 v2.3 d0.0 m0.7

Tue GHA GHA Dec GHA Dec GHA Dec GHA Dec0 208◦18.0 173◦53.9 12◦58.1 120◦37.9 24◦53.2 239◦09.7 -13◦17.5 253◦03.1 -17◦33.11 223◦20.5 188◦53.4 12◦59.2 135◦38.7 24◦53.2 254◦11.7 -13◦17.4 268◦05.4 -17◦33.12 238◦22.9 203◦52.9 13◦00.3 150◦39.5 24◦53.2 269◦13.8 -13◦17.3 283◦07.7 -17◦33.13 253◦25.4 218◦52.4 13◦01.4 165◦40.3 24◦53.2 284◦15.9 -13◦17.1 298◦10.1 -17◦33.04 268◦27.9 233◦51.9 13◦02.4 180◦41.1 24◦53.3 299◦17.9 -13◦17.0 313◦12.4 -17◦33.05 283◦30.3 248◦51.4 13◦03.5 195◦41.9 24◦53.3 314◦20.0 -13◦16.9 328◦14.7 -17◦33.06 298◦32.8 263◦50.9 13◦04.6 210◦42.7 24◦53.3 329◦22.1 -13◦16.7 343◦17.1 -17◦32.97 313◦35.2 278◦50.4 13◦05.7 225◦43.5 24◦53.3 344◦24.1 -13◦16.6 358◦19.4 -17◦32.98 328◦37.7 293◦49.9 13◦06.8 240◦44.3 24◦53.3 359◦26.2 -13◦16.5 13◦21.7 -17◦32.99 343◦40.2 308◦49.4 13◦07.9 255◦45.1 24◦53.4 14◦28.3 -13◦16.3 28◦24.0 -17◦32.810 358◦42.6 323◦48.9 13◦09.0 270◦45.9 24◦53.4 29◦30.3 -13◦16.2 43◦26.4 -17◦32.811 13◦45.1 338◦48.3 13◦10.1 285◦46.6 24◦53.4 44◦32.4 -13◦16.1 58◦28.7 -17◦32.812 28◦47.6 353◦47.8 13◦11.2 300◦47.4 24◦53.4 59◦34.5 -13◦15.9 73◦31.0 -17◦32.713 43◦50.0 8◦47.3 13◦12.2 315◦48.2 24◦53.4 74◦36.5 -13◦15.8 88◦33.4 -17◦32.714 58◦52.5 23◦46.8 13◦13.3 330◦49.0 24◦53.4 89◦38.6 -13◦15.7 103◦35.7 -17◦32.715 73◦55.0 38◦46.3 13◦14.4 345◦49.8 24◦53.5 104◦40.7 -13◦15.5 118◦38.0 -17◦32.616 88◦57.4 53◦45.8 13◦15.5 0◦50.6 24◦53.5 119◦42.7 -13◦15.4 133◦40.4 -17◦32.617 103◦59.9 68◦45.3 13◦16.6 15◦51.4 24◦53.5 134◦44.8 -13◦15.3 148◦42.7 -17◦32.618 119◦02.4 83◦44.8 13◦17.7 30◦52.2 24◦53.5 149◦46.9 -13◦15.1 163◦45.0 -17◦32.519 134◦04.8 98◦44.3 13◦18.8 45◦53.0 24◦53.5 164◦48.9 -13◦15.0 178◦47.4 -17◦32.520 149◦07.3 113◦43.8 13◦19.8 60◦53.8 24◦53.5 179◦51.0 -13◦14.9 193◦49.7 -17◦32.521 164◦09.7 128◦43.3 13◦20.9 75◦54.6 24◦53.6 194◦53.1 -13◦14.7 208◦52.0 -17◦32.522 179◦12.2 143◦42.7 13◦22.0 90◦55.4 24◦53.6 209◦55.1 -13◦14.6 223◦54.4 -17◦32.423 194◦14.7 158◦42.2 13◦23.1 105◦56.2 24◦53.6 224◦57.2 -13◦14.5 238◦56.7 -17◦32.4Mer.pass.:10:05 v-0.5 d1.1 m-3.8 v0.8 d0.0 m1.5 v2.1 d0.1 m-2.0 v2.3 d0.0 m0.7

Wed GHA GHA Dec GHA Dec GHA Dec GHA Dec0 209◦17.1 173◦41.7 13◦24.2 120◦57.0 24◦53.6 239◦59.3 -13◦14.4 253◦59.0 -17◦32.41 224◦19.6 188◦41.2 13◦25.2 135◦57.8 24◦53.6 255◦01.4 -13◦14.2 269◦01.4 -17◦32.32 239◦22.1 203◦40.7 13◦26.3 150◦58.6 24◦53.6 270◦03.4 -13◦14.1 284◦03.7 -17◦32.33 254◦24.5 218◦40.2 13◦27.4 165◦59.4 24◦53.6 285◦05.5 -13◦14.0 299◦06.0 -17◦32.34 269◦27.0 233◦39.7 13◦28.5 181◦00.2 24◦53.7 300◦07.6 -13◦13.8 314◦08.4 -17◦32.25 284◦29.5 248◦39.2 13◦29.6 196◦01.0 24◦53.7 315◦09.6 -13◦13.7 329◦10.7 -17◦32.26 299◦31.9 263◦38.7 13◦30.6 211◦01.8 24◦53.7 330◦11.7 -13◦13.6 344◦13.0 -17◦32.27 314◦34.4 278◦38.1 13◦31.7 226◦02.6 24◦53.7 345◦13.8 -13◦13.4 359◦15.4 -17◦32.18 329◦36.8 293◦37.6 13◦32.8 241◦03.4 24◦53.7 0◦15.8 -13◦13.3 14◦17.7 -17◦32.19 344◦39.3 308◦37.1 13◦33.9 256◦04.1 24◦53.7 15◦17.9 -13◦13.2 29◦20.0 -17◦32.110 359◦41.8 323◦36.6 13◦34.9 271◦04.9 24◦53.7 30◦20.0 -13◦13.0 44◦22.4 -17◦32.111 14◦44.2 338◦36.1 13◦36.0 286◦05.7 24◦53.7 45◦22.1 -13◦12.9 59◦24.7 -17◦32.012 29◦46.7 353◦35.6 13◦37.1 301◦06.5 24◦53.7 60◦24.1 -13◦12.8 74◦27.1 -17◦32.013 44◦49.2 8◦35.0 13◦38.2 316◦07.3 24◦53.8 75◦26.2 -13◦12.7 89◦29.4 -17◦32.014 59◦51.6 23◦34.5 13◦39.2 331◦08.1 24◦53.8 90◦28.3 -13◦12.5 104◦31.7 -17◦31.915 74◦54.1 38◦34.0 13◦40.3 346◦08.9 24◦53.8 105◦30.3 -13◦12.4 119◦34.1 -17◦31.916 89◦56.6 53◦33.5 13◦41.4 1◦09.7 24◦53.8 120◦32.4 -13◦12.3 134◦36.4 -17◦31.917 104◦59.0 68◦33.0 13◦42.5 16◦10.5 24◦53.8 135◦34.5 -13◦12.1 149◦38.7 -17◦31.818 120◦01.5 83◦32.5 13◦43.5 31◦11.3 24◦53.8 150◦36.6 -13◦12.0 164◦41.1 -17◦31.819 135◦04.0 98◦31.9 13◦44.6 46◦12.1 24◦53.8 165◦38.6 -13◦11.9 179◦43.4 -17◦31.820 150◦06.4 113◦31.4 13◦45.7 61◦12.9 24◦53.8 180◦40.7 -13◦11.7 194◦45.7 -17◦31.821 165◦08.9 128◦30.9 13◦46.7 76◦13.7 24◦53.8 195◦42.8 -13◦11.6 209◦48.1 -17◦31.722 180◦11.3 143◦30.4 13◦47.8 91◦14.5 24◦53.8 210◦44.8 -13◦11.5 224◦50.4 -17◦31.723 195◦13.8 158◦29.9 13◦48.9 106◦15.3 24◦53.8 225◦46.9 -13◦11.4 239◦52.8 -17◦31.7Mer.pass.:10:01 v-0.5 d1.1 m-3.8 v0.8 d0.0 m1.5 v2.1 d0.1 m-2.0 v2.3 d0.0 m0.7

StarsSHA Dec

Alpheratz 357◦38.2 29◦12.2Ankaa 353◦10.6 -42◦11.5

Schedar 349◦35.0 56◦39.0Diphda 348◦50.6 -17◦52.4

Achernar 335◦23.2 -57◦07.9Hamal 327◦55.0 23◦33.6Polaris 315◦53.9 89◦21.2Akamar 315◦14.5 -40◦13.4Menkar 314◦09.6 4◦10.2Mirfak 308◦33.1 49◦56.1

Aldebaran 290◦43.4 16◦33.0Rigel 281◦07.0 -8◦10.8

Capella 280◦26.7 46◦01.2Bellatrix 278◦26.3 6◦22.0Elnath 278◦06.0 28◦37.5Alnilam 275◦41.0 -1◦11.5

Betelgeuse 270◦55.6 7◦24.5Canopus 263◦54.0 -52◦42.7

Sirius 258◦28.9 -16◦44.8Adara 255◦08.3 -29◦00.3

Procyon 244◦54.0 5◦10.3Pollux 243◦21.0 27◦58.5Avior 234◦15.9 -59◦34.9Suhail 222◦48.4 -43◦31.3

Miaplacidus 221◦38.5 -69◦48.5Alphard 217◦50.6 -8◦45.2Regulus 207◦37.5 11◦51.8Dubhe 193◦44.3 61◦38.4

Denebola 182◦27.7 14◦27.2Gienah 175◦46.4 -17◦39.7Acrux 173◦02.8 -63◦13.1

Gacrux 171◦54.4 -57◦14.0Alioth 166◦15.2 55◦50.8Spica 158◦25.2 -11◦16.3Alcaid 152◦54.0 49◦12.5Hadar 148◦39.6 -60◦28.5

Menkent 148◦00.8 -36◦28.4Arcturus 145◦50.2 19◦04.6

Rigil Kent. 139◦43.8 -60◦55.3Zubenelg. 136◦59.1 -16◦07.8Kochab 137◦18.7 74◦04.1

Alphecca 126◦06.0 26◦38.5Antares 112◦19.3 -26◦28.7

Atria 107◦15.8 -69◦03.7Sabik 102◦06.1 -15◦45.0

Shaula 96◦14.3 -37◦07.0Rasalhague 96◦01.2 12◦32.6

Etamin 90◦43.3 51◦28.9Kaus Aust. 83◦36.4 -34◦22.3

Vega 80◦35.2 38◦47.9Nunki 75◦51.4 -26◦16.1Altair 62◦03.0 8◦55.2

Peacock 53◦10.6 -56◦39.8Deneb 49◦27.9 45◦21.0

Enif 33◦41.9 9◦58.1Alnair 27◦37.1 -46◦51.4

Fomalhaut 15◦18.2 -29◦30.6Scheat 13◦48.4 28◦11.6Markab 13◦33.2 15◦18.9

2021/4/1 SHA Mer.passVenus 326◦47.0 12:24Mars 272◦59.9 15:58

Jupiter 31◦01.3 08:06Saturn 44◦48.3 07:10

2021/4/2 SHA Mer.passVenus 325◦35.9 12:25Mars 272◦19.9 15:57

Jupiter 30◦51.7 08:02Saturn 44◦45.1 07:07

2021/4/2 SHA Mer.passVenus 324◦24.6 12:26Mars 271◦39.9 15:55

Jupiter 30◦42.1 07:59Saturn 44◦41.9 07:03

Horizontal paralaxVenus: 0.1Mars: 0.1

74

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2021 April 19 to Apr. 21

h Sun MoonMon GHA Dec GHA ν Dec d HP0 180◦12.1 11◦10.6 101◦21.2 9.6 25◦28.0 -1.0 55.21 195◦12.2 11◦11.4 115◦49.8 9.6 25◦26.9 -1.2 55.22 210◦12.4 11◦12.3 130◦18.3 9.5 25◦25.7 -1.3 55.23 225◦12.5 11◦13.2 144◦46.9 9.5 25◦24.3 -1.4 55.24 240◦12.7 11◦14.0 159◦15.4 9.5 25◦22.8 -1.6 55.35 255◦12.8 11◦14.9 173◦43.9 9.5 25◦21.2 -1.7 55.36 270◦12.9 11◦15.7 188◦12.4 9.5 25◦19.4 -1.8 55.37 285◦13.1 11◦16.6 202◦40.8 9.5 25◦17.5 -2.0 55.38 300◦13.2 11◦17.5 217◦09.3 9.5 25◦15.5 -2.1 55.49 315◦13.3 11◦18.3 231◦37.7 9.4 25◦13.4 -2.2 55.410 330◦13.5 11◦19.2 246◦06.2 9.4 25◦11.1 -2.3 55.411 345◦13.6 11◦20.1 260◦34.6 9.4 25◦08.7 -2.5 55.412 0◦13.7 11◦20.9 275◦03.0 9.4 25◦06.1 -2.6 55.513 15◦13.9 11◦21.8 289◦31.4 9.4 25◦03.5 -2.7 55.514 30◦14.0 11◦22.6 303◦59.8 9.4 25◦00.7 -2.9 55.515 45◦14.1 11◦23.5 318◦28.2 9.4 24◦57.7 -3.0 55.616 60◦14.3 11◦24.4 332◦56.6 9.4 24◦54.7 -3.1 55.617 75◦14.4 11◦25.2 347◦25.0 9.4 24◦51.4 -3.3 55.618 90◦14.5 11◦26.1 1◦53.4 9.4 24◦48.1 -3.4 55.619 105◦14.7 11◦26.9 16◦21.7 9.4 24◦44.6 -3.5 55.720 120◦14.8 11◦27.8 30◦50.1 9.4 24◦41.0 -3.7 55.721 135◦14.9 11◦28.7 45◦18.5 9.4 24◦37.3 -3.8 55.722 150◦15.1 11◦29.5 59◦46.9 9.4 24◦33.4 -3.9 55.823 165◦15.2 11◦30.4 74◦15.2 9.4 24◦29.4 -4.1 55.8

SD.=15.9 d=0.9 S.D.=15.0

Tue GHA Dec GHA ν Dec d HP0 180◦15.3 11◦31.2 88◦43.6 9.4 24◦25.3 -4.2 55.81 195◦15.4 11◦32.1 103◦12.0 9.4 24◦21.1 -4.3 55.82 210◦15.6 11◦32.9 117◦40.3 9.4 24◦16.7 -4.5 55.93 225◦15.7 11◦33.8 132◦08.7 9.4 24◦12.1 -4.6 55.94 240◦15.8 11◦34.7 146◦37.1 9.4 24◦07.5 -4.7 55.95 255◦16.0 11◦35.5 161◦05.5 9.4 24◦02.7 -4.9 56.06 270◦16.1 11◦36.4 175◦33.8 9.4 23◦57.8 -5.0 56.07 285◦16.2 11◦37.2 190◦02.2 9.4 23◦52.7 -5.1 56.08 300◦16.4 11◦38.1 204◦30.6 9.4 23◦47.6 -5.2 56.19 315◦16.5 11◦38.9 218◦59.0 9.4 23◦42.2 -5.4 56.110 330◦16.6 11◦39.8 233◦27.4 9.4 23◦36.8 -5.5 56.111 345◦16.7 11◦40.6 247◦55.9 9.4 23◦31.2 -5.6 56.212 0◦16.9 11◦41.5 262◦24.3 9.4 23◦25.5 -5.8 56.213 15◦17.0 11◦42.3 276◦52.7 9.4 23◦19.7 -5.9 56.214 30◦17.1 11◦43.2 291◦21.2 9.5 23◦13.7 -6.0 56.315 45◦17.3 11◦44.0 305◦49.6 9.5 23◦07.6 -6.2 56.316 60◦17.4 11◦44.9 320◦18.1 9.5 23◦01.4 -6.3 56.317 75◦17.5 11◦45.8 334◦46.6 9.5 22◦55.1 -6.4 56.418 90◦17.6 11◦46.6 349◦15.1 9.5 22◦48.6 -6.5 56.419 105◦17.8 11◦47.5 3◦43.6 9.5 22◦42.0 -6.7 56.420 120◦17.9 11◦48.3 18◦12.1 9.5 22◦35.3 -6.8 56.521 135◦18.0 11◦49.2 32◦40.6 9.5 22◦28.4 -6.9 56.522 150◦18.2 11◦50.0 47◦09.1 9.5 22◦21.4 -7.0 56.523 165◦18.3 11◦50.9 61◦37.7 9.6 22◦14.3 -7.2 56.6

SD.=15.9 d=0.9 S.D.=15.2

Wed GHA Dec GHA ν Dec d HP0 180◦18.4 11◦51.7 76◦06.3 9.6 22◦07.1 -7.3 56.61 195◦18.5 11◦52.6 90◦34.9 9.6 21◦59.7 -7.4 56.62 210◦18.7 11◦53.4 105◦03.5 9.6 21◦52.2 -7.6 56.73 225◦18.8 11◦54.2 119◦32.1 9.6 21◦44.6 -7.7 56.74 240◦18.9 11◦55.1 134◦00.7 9.6 21◦36.9 -7.8 56.85 255◦19.0 11◦55.9 148◦29.4 9.7 21◦29.0 -7.9 56.86 270◦19.2 11◦56.8 162◦58.0 9.7 21◦21.0 -8.0 56.87 285◦19.3 11◦57.6 177◦26.7 9.7 21◦12.9 -8.2 56.98 300◦19.4 11◦58.5 191◦55.4 9.7 21◦04.7 -8.3 56.99 315◦19.5 11◦59.3 206◦24.1 9.7 20◦56.3 -8.4 56.910 330◦19.7 12◦00.2 220◦52.9 9.7 20◦47.8 -8.5 57.011 345◦19.8 12◦01.0 235◦21.6 9.8 20◦39.2 -8.7 57.012 0◦19.9 12◦01.9 249◦50.4 9.8 20◦30.5 -8.8 57.113 15◦20.0 12◦02.7 264◦19.2 9.8 20◦21.7 -8.9 57.114 30◦20.2 12◦03.6 278◦48.0 9.8 20◦12.7 -9.0 57.115 45◦20.3 12◦04.4 293◦16.8 9.8 20◦03.6 -9.1 57.216 60◦20.4 12◦05.2 307◦45.7 9.9 19◦54.4 -9.3 57.217 75◦20.5 12◦06.1 322◦14.6 9.9 19◦45.1 -9.4 57.218 90◦20.7 12◦06.9 336◦43.4 9.9 19◦35.7 -9.5 57.319 105◦20.8 12◦07.8 351◦12.3 9.9 19◦26.1 -9.6 57.320 120◦20.9 12◦08.6 5◦41.3 9.9 19◦16.5 -9.7 57.421 135◦21.0 12◦09.5 20◦10.2 10.0 19◦06.7 -9.8 57.422 150◦21.2 12◦10.3 34◦39.2 10.0 18◦56.8 -10.0 57.423 165◦21.3 12◦11.1 49◦08.2 10.0 18◦46.8 -10.1 57.5

SD.=15.9 d=0.8 S.D.=15.4

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 –:– 00:52 03:08 20:54 23:29 –:–70 –:– 01:56 03:30 20:31 22:09 –:–68 –:– 02:30 03:46 20:14 21:33 –:–66 00:45 02:54 03:60 20:00 21:07 23:3364 01:41 03:13 04:11 19:49 20:48 22:2362 02:12 03:28 04:20 19:39 20:32 21:5060 02:34 03:41 04:28 19:31 20:19 21:2758 02:52 03:51 04:36 19:24 20:08 21:0856 03:07 04:00 04:42 19:17 19:59 20:5354 03:19 04:08 04:47 19:12 19:51 20:4152 03:30 04:16 04:52 19:07 19:43 20:3050 03:39 04:22 04:57 19:02 19:37 20:2045 03:58 04:36 05:07 18:52 19:23 20:0140 04:12 04:46 05:15 18:44 19:12 19:4635 04:24 04:55 05:22 18:37 19:03 19:3530 04:34 05:03 05:28 18:30 18:55 19:2520 04:49 05:16 05:38 18:20 18:43 19:0910 05:01 05:26 05:47 18:11 18:32 18:570 05:10 05:34 05:56 18:02 18:23 18:48-10 05:18 05:42 06:04 17:54 18:15 18:40-20 05:24 05:50 06:12 17:45 18:07 18:33-30 05:30 05:58 06:22 17:35 17:59 18:27-35 05:32 06:02 06:28 17:29 17:55 18:25-40 05:35 06:07 06:34 17:23 17:51 18:22-45 05:37 06:11 06:41 17:16 17:46 18:20-50 05:39 06:17 06:50 17:07 17:40 18:18-52 05:40 06:20 06:54 17:03 17:37 18:17-54 05:41 06:22 06:59 16:58 17:35 18:16-56 05:42 06:25 07:04 16:53 17:32 18:15-58 05:42 06:28 07:09 16:48 17:28 18:14-60 05:43 06:32 07:15 16:42 17:25 18:13

Moonrise MoonsetLat. Mon Tue Wed Mon Tue Wed72 –:– –:– –:– –:– –:– –:–70 –:– –:– –:– –:– –:– –:–68 –:– –:– 08:30 –:– –:– 06:0466 –:– 06:53 09:22 –:– 05:52 05:1264 06:29 08:06 09:53 04:26 04:38 04:3962 07:21 08:42 10:17 03:33 04:01 04:1560 07:53 09:08 10:35 03:01 03:35 03:5658 08:17 09:28 10:51 02:37 03:14 03:4056 08:36 09:45 11:04 02:17 02:57 03:2654 08:53 09:59 11:15 02:01 02:43 03:1452 09:06 10:12 11:25 01:47 02:30 03:0450 09:18 10:22 11:34 01:35 02:19 02:5445 09:43 10:45 11:53 01:10 01:56 02:3440 10:03 11:03 12:09 00:50 01:37 02:1835 10:20 11:19 12:21 00:33 01:21 02:0530 10:34 11:32 12:33 00:19 01:07 01:5320 10:59 11:54 12:52 –:– 00:44 01:3210 11:20 12:14 13:09 –:– 00:24 01:140 11:40 12:32 13:24 –:– 00:05 00:57-10 11:59 12:50 13:40 23:46 –:– 00:40-20 12:20 13:09 13:56 23:25 –:– 00:22-30 12:45 13:32 14:15 23:01 –:– 00:01-35 12:59 13:45 14:26 22:47 23:48 –:–-40 13:15 13:60 14:38 22:31 23:34 –:–-45 13:35 14:17 14:53 22:12 23:17 –:–-50 13:60 14:39 15:11 21:47 22:56 –:–-52 14:12 14:50 15:20 21:36 22:46 –:–-54 14:26 15:02 15:29 21:22 22:34 23:54-56 14:41 15:15 15:40 21:07 22:21 23:44-58 15:00 15:31 15:52 20:48 22:06 23:32-60 15:23 15:50 16:06 20:25 21:48 23:19

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower19 00:48 00:55 11:59 17:52 05:25 7(42%)20 01:01 01:07 11:58 18:44 06:18 8(52%)21 01:14 01:20 11:58 19:36 07:10 9(63%)

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April 22, 23 ,24 (Thu., Fri., Sat.)Aries Venus Mars Jupiter Saturn

Thu GHA GHA Dec GHA Dec GHA Dec GHA Dec0 210◦16.3 173◦29.3 13◦49.9 121◦16.1 24◦53.8 240◦49.0 -13◦11.2 254◦55.1 -17◦31.61 225◦18.7 188◦28.8 13◦51.0 136◦16.9 24◦53.9 255◦51.1 -13◦11.1 269◦57.4 -17◦31.62 240◦21.2 203◦28.3 13◦52.1 151◦17.7 24◦53.9 270◦53.1 -13◦11.0 284◦59.8 -17◦31.63 255◦23.7 218◦27.8 13◦53.1 166◦18.5 24◦53.9 285◦55.2 -13◦10.8 300◦02.1 -17◦31.54 270◦26.1 233◦27.2 13◦54.2 181◦19.3 24◦53.9 300◦57.3 -13◦10.7 315◦04.4 -17◦31.55 285◦28.6 248◦26.7 13◦55.3 196◦20.0 24◦53.9 315◦59.4 -13◦10.6 330◦06.8 -17◦31.56 300◦31.1 263◦26.2 13◦56.3 211◦20.8 24◦53.9 331◦01.4 -13◦10.5 345◦09.1 -17◦31.57 315◦33.5 278◦25.7 13◦57.4 226◦21.6 24◦53.9 346◦03.5 -13◦10.3 0◦11.5 -17◦31.48 330◦36.0 293◦25.1 13◦58.4 241◦22.4 24◦53.9 1◦05.6 -13◦10.2 15◦13.8 -17◦31.49 345◦38.5 308◦24.6 13◦59.5 256◦23.2 24◦53.9 16◦07.7 -13◦10.1 30◦16.1 -17◦31.410 0◦40.9 323◦24.1 14◦00.6 271◦24.0 24◦53.9 31◦09.7 -13◦09.9 45◦18.5 -17◦31.311 15◦43.4 338◦23.6 14◦01.6 286◦24.8 24◦53.9 46◦11.8 -13◦09.8 60◦20.8 -17◦31.312 30◦45.8 353◦23.0 14◦02.7 301◦25.6 24◦53.9 61◦13.9 -13◦09.7 75◦23.2 -17◦31.313 45◦48.3 8◦22.5 14◦03.7 316◦26.4 24◦53.9 76◦16.0 -13◦09.5 90◦25.5 -17◦31.214 60◦50.8 23◦22.0 14◦04.8 331◦27.2 24◦53.9 91◦18.0 -13◦09.4 105◦27.8 -17◦31.215 75◦53.2 38◦21.5 14◦05.9 346◦28.0 24◦53.9 106◦20.1 -13◦09.3 120◦30.2 -17◦31.216 90◦55.7 53◦20.9 14◦06.9 1◦28.8 24◦53.9 121◦22.2 -13◦09.2 135◦32.5 -17◦31.217 105◦58.2 68◦20.4 14◦08.0 16◦29.6 24◦53.9 136◦24.3 -13◦09.0 150◦34.9 -17◦31.118 121◦00.6 83◦19.9 14◦09.0 31◦30.4 24◦53.9 151◦26.4 -13◦08.9 165◦37.2 -17◦31.119 136◦03.1 98◦19.4 14◦10.1 46◦31.2 24◦53.9 166◦28.4 -13◦08.8 180◦39.5 -17◦31.120 151◦05.6 113◦18.8 14◦11.1 61◦32.0 24◦53.9 181◦30.5 -13◦08.6 195◦41.9 -17◦31.021 166◦08.0 128◦18.3 14◦12.2 76◦32.8 24◦53.9 196◦32.6 -13◦08.5 210◦44.2 -17◦31.022 181◦10.5 143◦17.8 14◦13.3 91◦33.6 24◦53.9 211◦34.7 -13◦08.4 225◦46.6 -17◦31.023 196◦12.9 158◦17.2 14◦14.3 106◦34.3 24◦53.9 226◦36.7 -13◦08.3 240◦48.9 -17◦31.0Mer.pass.:9:57: v-0.5 d1.1 m-3.8 v0.8 d0.0 m1.5 v2.1 d0.1 m-2.0 v2.3 d0.0 m0.7

Fri GHA GHA Dec GHA Dec GHA Dec GHA Dec0 211◦15.4 173◦16.7 14◦15.4 121◦35.1 24◦53.9 241◦38.8 -13◦08.1 255◦51.2 -17◦30.91 226◦17.9 188◦16.2 14◦16.4 136◦35.9 24◦53.9 256◦40.9 -13◦08.0 270◦53.6 -17◦30.92 241◦20.3 203◦15.6 14◦17.5 151◦36.7 24◦53.9 271◦43.0 -13◦07.9 285◦55.9 -17◦30.93 256◦22.8 218◦15.1 14◦18.5 166◦37.5 24◦53.9 286◦45.1 -13◦07.8 300◦58.3 -17◦30.84 271◦25.3 233◦14.6 14◦19.6 181◦38.3 24◦53.9 301◦47.1 -13◦07.6 316◦00.6 -17◦30.85 286◦27.7 248◦14.0 14◦20.6 196◦39.1 24◦53.9 316◦49.2 -13◦07.5 331◦02.9 -17◦30.86 301◦30.2 263◦13.5 14◦21.7 211◦39.9 24◦53.9 331◦51.3 -13◦07.4 346◦05.3 -17◦30.87 316◦32.7 278◦13.0 14◦22.7 226◦40.7 24◦53.9 346◦53.4 -13◦07.2 1◦07.6 -17◦30.78 331◦35.1 293◦12.4 14◦23.8 241◦41.5 24◦53.9 1◦55.5 -13◦07.1 16◦10.0 -17◦30.79 346◦37.6 308◦11.9 14◦24.8 256◦42.3 24◦53.9 16◦57.5 -13◦07.0 31◦12.3 -17◦30.710 1◦40.1 323◦11.4 14◦25.9 271◦43.1 24◦53.9 31◦59.6 -13◦06.9 46◦14.7 -17◦30.611 16◦42.5 338◦10.8 14◦26.9 286◦43.9 24◦53.9 47◦01.7 -13◦06.7 61◦17.0 -17◦30.612 31◦45.0 353◦10.3 14◦27.9 301◦44.7 24◦53.9 62◦03.8 -13◦06.6 76◦19.3 -17◦30.613 46◦47.4 8◦09.8 14◦29.0 316◦45.5 24◦53.9 77◦05.9 -13◦06.5 91◦21.7 -17◦30.614 61◦49.9 23◦09.2 14◦30.0 331◦46.3 24◦53.9 92◦07.9 -13◦06.3 106◦24.0 -17◦30.515 76◦52.4 38◦08.7 14◦31.1 346◦47.0 24◦53.9 107◦10.0 -13◦06.2 121◦26.4 -17◦30.516 91◦54.8 53◦08.1 14◦32.1 1◦47.8 24◦53.9 122◦12.1 -13◦06.1 136◦28.7 -17◦30.517 106◦57.3 68◦07.6 14◦33.2 16◦48.6 24◦53.9 137◦14.2 -13◦06.0 151◦31.1 -17◦30.418 121◦59.8 83◦07.1 14◦34.2 31◦49.4 24◦53.9 152◦16.3 -13◦05.8 166◦33.4 -17◦30.419 137◦02.2 98◦06.5 14◦35.2 46◦50.2 24◦53.9 167◦18.4 -13◦05.7 181◦35.8 -17◦30.420 152◦04.7 113◦06.0 14◦36.3 61◦51.0 24◦53.8 182◦20.4 -13◦05.6 196◦38.1 -17◦30.421 167◦07.2 128◦05.4 14◦37.3 76◦51.8 24◦53.8 197◦22.5 -13◦05.5 211◦40.4 -17◦30.322 182◦09.6 143◦04.9 14◦38.4 91◦52.6 24◦53.8 212◦24.6 -13◦05.3 226◦42.8 -17◦30.323 197◦12.1 158◦04.4 14◦39.4 106◦53.4 24◦53.8 227◦26.7 -13◦05.2 241◦45.1 -17◦30.3Mer.pass.:9:53: v-0.5 d1.1 m-3.8 v0.8 d-0.0 m1.5 v2.1 d0.1 m-2.0 v2.3 d0.0 m0.7

Sat GHA GHA Dec GHA Dec GHA Dec GHA Dec0 212◦14.5 173◦03.8 14◦40.4 121◦54.2 24◦53.8 242◦28.8 -13◦05.1 256◦47.5 -17◦30.21 227◦17.0 188◦03.3 14◦41.5 136◦55.0 24◦53.8 257◦30.9 -13◦05.0 271◦49.8 -17◦30.22 242◦19.5 203◦02.7 14◦42.5 151◦55.8 24◦53.8 272◦32.9 -13◦04.8 286◦52.2 -17◦30.23 257◦21.9 218◦02.2 14◦43.5 166◦56.6 24◦53.8 287◦35.0 -13◦04.7 301◦54.5 -17◦30.24 272◦24.4 233◦01.7 14◦44.6 181◦57.4 24◦53.8 302◦37.1 -13◦04.6 316◦56.9 -17◦30.15 287◦26.9 248◦01.1 14◦45.6 196◦58.2 24◦53.8 317◦39.2 -13◦04.4 331◦59.2 -17◦30.16 302◦29.3 263◦00.6 14◦46.6 211◦58.9 24◦53.8 332◦41.3 -13◦04.3 347◦01.5 -17◦30.17 317◦31.8 278◦00.0 14◦47.7 226◦59.7 24◦53.8 347◦43.4 -13◦04.2 2◦03.9 -17◦30.18 332◦34.3 292◦59.5 14◦48.7 242◦00.5 24◦53.7 2◦45.4 -13◦04.1 17◦06.2 -17◦30.09 347◦36.7 307◦58.9 14◦49.7 257◦01.3 24◦53.7 17◦47.5 -13◦03.9 32◦08.6 -17◦30.010 2◦39.2 322◦58.4 14◦50.8 272◦02.1 24◦53.7 32◦49.6 -13◦03.8 47◦10.9 -17◦30.011 17◦41.7 337◦57.8 14◦51.8 287◦02.9 24◦53.7 47◦51.7 -13◦03.7 62◦13.3 -17◦29.912 32◦44.1 352◦57.3 14◦52.8 302◦03.7 24◦53.7 62◦53.8 -13◦03.6 77◦15.6 -17◦29.913 47◦46.6 7◦56.7 14◦53.9 317◦04.5 24◦53.7 77◦55.9 -13◦03.4 92◦18.0 -17◦29.914 62◦49.0 22◦56.2 14◦54.9 332◦05.3 24◦53.7 92◦58.0 -13◦03.3 107◦20.3 -17◦29.915 77◦51.5 37◦55.7 14◦55.9 347◦06.1 24◦53.7 108◦00.0 -13◦03.2 122◦22.7 -17◦29.816 92◦54.0 52◦55.1 14◦56.9 2◦06.9 24◦53.7 123◦02.1 -13◦03.1 137◦25.0 -17◦29.817 107◦56.4 67◦54.6 14◦58.0 17◦07.7 24◦53.6 138◦04.2 -13◦02.9 152◦27.4 -17◦29.818 122◦58.9 82◦54.0 14◦59.0 32◦08.5 24◦53.6 153◦06.3 -13◦02.8 167◦29.7 -17◦29.819 138◦01.4 97◦53.5 15◦00.0 47◦09.3 24◦53.6 168◦08.4 -13◦02.7 182◦32.1 -17◦29.720 153◦03.8 112◦52.9 15◦01.1 62◦10.1 24◦53.6 183◦10.5 -13◦02.6 197◦34.4 -17◦29.721 168◦06.3 127◦52.4 15◦02.1 77◦10.8 24◦53.6 198◦12.6 -13◦02.4 212◦36.8 -17◦29.722 183◦08.8 142◦51.8 15◦03.1 92◦11.6 24◦53.6 213◦14.7 -13◦02.3 227◦39.1 -17◦29.623 198◦11.2 157◦51.3 15◦04.1 107◦12.4 24◦53.6 228◦16.7 -13◦02.2 242◦41.5 -17◦29.6Mer.pass.:9:49: v-0.5 d1.0 m-3.8 v0.8 d-0.0 m1.5 v2.1 d0.1 m-2.0 v2.3 d0.0 m0.7

StarsSHA Dec

Alpheratz 357◦38.2 29◦12.2Ankaa 353◦10.6 -42◦11.5

Schedar 349◦35.0 56◦39.0Diphda 348◦50.6 -17◦52.4

Achernar 335◦23.1 -57◦07.8Hamal 327◦55.0 23◦33.6Polaris 315◦54.3 89◦21.2Akamar 315◦14.5 -40◦13.4Menkar 314◦09.6 4◦10.2Mirfak 308◦33.1 49◦56.1

Aldebaran 290◦43.4 16◦33.0Rigel 281◦07.0 -8◦10.8

Capella 280◦26.7 46◦01.2Bellatrix 278◦26.4 6◦22.0Elnath 278◦06.0 28◦37.5Alnilam 275◦41.0 -1◦11.5

Betelgeuse 270◦55.6 7◦24.5Canopus 263◦54.0 -52◦42.7

Sirius 258◦29.0 -16◦44.7Adara 255◦08.4 -29◦00.3

Procyon 244◦54.0 5◦10.3Pollux 243◦21.0 27◦58.5Avior 234◦15.9 -59◦34.9Suhail 222◦48.4 -43◦31.3

Miaplacidus 221◦38.6 -69◦48.5Alphard 217◦50.6 -8◦45.2Regulus 207◦37.5 11◦51.8Dubhe 193◦44.4 61◦38.4

Denebola 182◦27.7 14◦27.2Gienah 175◦46.4 -17◦39.7Acrux 173◦02.8 -63◦13.1

Gacrux 171◦54.4 -57◦14.0Alioth 166◦15.2 55◦50.8Spica 158◦25.2 -11◦16.3Alcaid 152◦54.0 49◦12.5Hadar 148◦39.6 -60◦28.5

Menkent 148◦00.8 -36◦28.5Arcturus 145◦50.2 19◦04.6

Rigil Kent. 139◦43.8 -60◦55.3Zubenelg. 136◦59.1 -16◦07.8Kochab 137◦18.7 74◦04.1

Alphecca 126◦06.0 26◦38.5Antares 112◦19.3 -26◦28.7

Atria 107◦15.8 -69◦03.7Sabik 102◦06.0 -15◦45.0

Shaula 96◦14.2 -37◦07.0Rasalhague 96◦01.2 12◦32.6

Etamin 90◦43.3 51◦28.9Kaus Aust. 83◦36.4 -34◦22.3

Vega 80◦35.1 38◦47.9Nunki 75◦51.4 -26◦16.1Altair 62◦03.0 8◦55.2

Peacock 53◦10.6 -56◦39.8Deneb 49◦27.9 45◦21.0

Enif 33◦41.9 9◦58.1Alnair 27◦37.0 -46◦51.4

Fomalhaut 15◦18.2 -29◦30.6Scheat 13◦48.4 28◦11.6Markab 13◦33.2 15◦18.9

2021/4/2 SHA Mer.passVenus 323◦13.1 12:26Mars 270◦59.8 15:54

Jupiter 30◦32.7 07:56Saturn 44◦38.8 06:59

2021/4/2 SHA Mer.passVenus 322◦01.3 12:27Mars 270◦19.7 15:53

Jupiter 30◦23.4 07:52Saturn 44◦35.8 06:56

2021/4/2 SHA Mer.passVenus 320◦49.3 12:28Mars 269◦39.6 15:52

Jupiter 30◦14.2 07:49Saturn 44◦32.9 06:52

Horizontal paralaxVenus: 0.1Mars: 0.1

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2021 April 22 to Apr. 24

h Sun MoonThu GHA Dec GHA ν Dec d HP0 180◦21.4 12◦12.0 63◦37.2 10.0 18◦36.6 -10.2 57.51 195◦21.5 12◦12.8 78◦06.2 10.0 18◦26.4 -10.3 57.62 210◦21.7 12◦13.7 92◦35.2 10.1 18◦16.1 -10.4 57.63 225◦21.8 12◦14.5 107◦04.3 10.1 18◦05.6 -10.5 57.64 240◦21.9 12◦15.3 121◦33.4 10.1 17◦55.0 -10.6 57.75 255◦22.0 12◦16.2 136◦02.5 10.1 17◦44.3 -10.7 57.76 270◦22.1 12◦17.0 150◦31.6 10.1 17◦33.6 -10.8 57.77 285◦22.3 12◦17.9 165◦00.7 10.1 17◦22.7 -11.0 57.88 300◦22.4 12◦18.7 179◦29.9 10.2 17◦11.6 -11.1 57.89 315◦22.5 12◦19.5 193◦59.1 10.2 17◦00.5 -11.2 57.910 330◦22.6 12◦20.4 208◦28.3 10.2 16◦49.3 -11.3 57.911 345◦22.7 12◦21.2 222◦57.5 10.2 16◦38.0 -11.4 57.912 0◦22.9 12◦22.0 237◦26.7 10.2 16◦26.5 -11.5 58.013 15◦23.0 12◦22.9 251◦56.0 10.3 16◦15.0 -11.6 58.014 30◦23.1 12◦23.7 266◦25.2 10.3 16◦03.4 -11.7 58.115 45◦23.2 12◦24.5 280◦54.5 10.3 15◦51.6 -11.8 58.116 60◦23.3 12◦25.4 295◦23.8 10.3 15◦39.8 -11.9 58.117 75◦23.5 12◦26.2 309◦53.1 10.3 15◦27.8 -12.0 58.218 90◦23.6 12◦27.1 324◦22.5 10.3 15◦15.8 -12.1 58.219 105◦23.7 12◦27.9 338◦51.8 10.4 15◦03.7 -12.2 58.320 120◦23.8 12◦28.7 353◦21.2 10.4 14◦51.4 -12.3 58.321 135◦23.9 12◦29.6 7◦50.5 10.4 14◦39.1 -12.4 58.422 150◦24.1 12◦30.4 22◦19.9 10.4 14◦26.6 -12.5 58.423 165◦24.2 12◦31.2 36◦49.3 10.4 14◦14.1 -12.6 58.4

SD.=15.9 d=0.8 S.D.=15.7

Fri GHA Dec GHA ν Dec d HP0 180◦24.3 12◦32.0 51◦18.8 10.4 14◦01.5 -12.7 58.51 195◦24.4 12◦32.9 65◦48.2 10.4 13◦48.8 -12.8 58.52 210◦24.5 12◦33.7 80◦17.6 10.5 13◦36.0 -12.9 58.63 225◦24.6 12◦34.5 94◦47.1 10.5 13◦23.1 -12.9 58.64 240◦24.8 12◦35.4 109◦16.6 10.5 13◦10.1 -13.0 58.65 255◦24.9 12◦36.2 123◦46.0 10.5 12◦57.0 -13.1 58.76 270◦25.0 12◦37.0 138◦15.5 10.5 12◦43.8 -13.2 58.77 285◦25.1 12◦37.9 152◦45.0 10.5 12◦30.6 -13.3 58.88 300◦25.2 12◦38.7 167◦14.5 10.5 12◦17.3 -13.4 58.89 315◦25.3 12◦39.5 181◦44.0 10.5 12◦03.8 -13.5 58.810 330◦25.5 12◦40.4 196◦13.6 10.5 11◦50.3 -13.5 58.911 345◦25.6 12◦41.2 210◦43.1 10.5 11◦36.7 -13.6 58.912 0◦25.7 12◦42.0 225◦12.6 10.5 11◦23.1 -13.7 59.013 15◦25.8 12◦42.8 239◦42.2 10.5 11◦09.3 -13.8 59.014 30◦25.9 12◦43.7 254◦11.7 10.6 10◦55.5 -13.9 59.015 45◦26.0 12◦44.5 268◦41.3 10.6 10◦41.6 -13.9 59.116 60◦26.2 12◦45.3 283◦10.9 10.6 10◦27.6 -14.0 59.117 75◦26.3 12◦46.1 297◦40.4 10.6 10◦13.5 -14.1 59.118 90◦26.4 12◦47.0 312◦10.0 10.6 9◦59.4 -14.2 59.219 105◦26.5 12◦47.8 326◦39.6 10.6 9◦45.2 -14.2 59.220 120◦26.6 12◦48.6 341◦09.1 10.6 9◦30.9 -14.3 59.321 135◦26.7 12◦49.4 355◦38.7 10.6 9◦16.5 -14.4 59.322 150◦26.8 12◦50.3 10◦08.3 10.6 9◦02.1 -14.5 59.323 165◦27.0 12◦51.1 24◦37.9 10.6 8◦47.6 -14.5 59.4

SD.=15.9 d=0.8 S.D.=16.0

Sat GHA Dec GHA ν Dec d HP0 180◦27.1 12◦51.9 39◦07.4 10.6 8◦33.0 -14.6 59.41 195◦27.2 12◦52.7 53◦37.0 10.6 8◦18.4 -14.7 59.52 210◦27.3 12◦53.6 68◦06.6 10.6 8◦03.7 -14.7 59.53 225◦27.4 12◦54.4 82◦36.1 10.6 7◦49.0 -14.8 59.54 240◦27.5 12◦55.2 97◦05.7 10.6 7◦34.1 -14.8 59.65 255◦27.6 12◦56.0 111◦35.2 10.5 7◦19.3 -14.9 59.66 270◦27.7 12◦56.8 126◦04.8 10.5 7◦04.3 -15.0 59.67 285◦27.9 12◦57.7 140◦34.3 10.5 6◦49.3 -15.0 59.78 300◦28.0 12◦58.5 155◦03.8 10.5 6◦34.3 -15.1 59.79 315◦28.1 12◦59.3 169◦33.4 10.5 6◦19.2 -15.1 59.810 330◦28.2 13◦00.1 184◦02.9 10.5 6◦04.0 -15.2 59.811 345◦28.3 13◦00.9 198◦32.4 10.5 5◦48.8 -15.2 59.812 0◦28.4 13◦01.8 213◦01.8 10.5 5◦33.5 -15.3 59.913 15◦28.5 13◦02.6 227◦31.3 10.5 5◦18.2 -15.3 59.914 30◦28.6 13◦03.4 242◦00.8 10.5 5◦02.8 -15.4 59.915 45◦28.7 13◦04.2 256◦30.2 10.4 4◦47.4 -15.4 60.016 60◦28.9 13◦05.0 270◦59.7 10.4 4◦32.0 -15.5 60.017 75◦29.0 13◦05.9 285◦29.1 10.4 4◦16.5 -15.5 60.018 90◦29.1 13◦06.7 299◦58.5 10.4 4◦00.9 -15.6 60.119 105◦29.2 13◦07.5 314◦27.9 10.4 3◦45.3 -15.6 60.120 120◦29.3 13◦08.3 328◦57.2 10.4 3◦29.7 -15.6 60.121 135◦29.4 13◦09.1 343◦26.6 10.3 3◦14.0 -15.7 60.222 150◦29.5 13◦09.9 357◦55.9 10.3 2◦58.3 -15.7 60.223 165◦29.6 13◦10.7 12◦25.2 10.3 2◦42.6 -15.8 60.2

SD.=15.9 d=0.8 S.D.=16.2

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 –:– –:– 02:49 21:12 –:– –:–70 –:– 01:28 03:14 20:46 22:38 –:–68 –:– 02:11 03:33 20:26 21:51 –:–66 –:– 02:39 03:48 20:11 21:21 –:–64 01:17 03:00 04:01 19:58 20:60 22:4862 01:55 03:17 04:11 19:48 20:42 22:0660 02:21 03:31 04:20 19:38 20:28 21:3958 02:41 03:42 04:28 19:30 20:16 21:1856 02:57 03:52 04:34 19:23 20:06 21:0254 03:10 04:01 04:41 19:17 19:57 20:4852 03:22 04:09 04:46 19:12 19:49 20:3750 03:32 04:16 04:51 19:07 19:42 20:2645 03:52 04:30 05:02 18:56 19:27 20:0640 04:07 04:42 05:11 18:47 19:15 19:5035 04:20 04:52 05:18 18:39 19:06 19:3730 04:30 04:60 05:25 18:32 18:57 19:2720 04:47 05:13 05:36 18:21 18:44 19:1010 04:59 05:24 05:46 18:11 18:32 18:580 05:09 05:34 05:55 18:02 18:23 18:47-10 05:18 05:42 06:04 17:53 18:14 18:39-20 05:25 05:51 06:13 17:43 18:05 18:31-30 05:32 05:60 06:24 17:32 17:57 18:25-35 05:35 06:04 06:30 17:26 17:52 18:21-40 05:38 06:09 06:37 17:19 17:47 18:18-45 05:41 06:15 06:45 17:11 17:41 18:15-50 05:43 06:21 06:55 17:01 17:34 18:12-52 05:45 06:24 06:59 16:57 17:32 18:11-54 05:46 06:27 07:04 16:52 17:28 18:10-56 05:47 06:31 07:10 16:46 17:25 18:09-58 05:48 06:34 07:16 16:40 17:21 18:07-60 05:50 06:38 07:22 16:33 17:17 18:06

Moonrise MoonsetLat. Thu Fri Sat Thu Fri Sat72 09:33 12:31 14:56 06:52 05:41 05:0570 10:27 12:51 15:03 05:56 05:19 04:5468 10:60 13:07 15:08 05:22 05:02 04:4666 11:23 13:19 15:13 04:58 04:48 04:3964 11:42 13:29 15:17 04:38 04:36 04:3362 11:57 13:38 15:20 04:22 04:26 04:2860 12:09 13:45 15:23 04:09 04:17 04:2458 12:20 13:52 15:26 03:57 04:10 04:2056 12:29 13:58 15:28 03:47 04:03 04:1654 12:37 14:03 15:30 03:38 03:57 04:1352 12:45 14:07 15:32 03:30 03:51 04:1050 12:51 14:12 15:34 03:23 03:47 04:0745 13:06 14:21 15:38 03:07 03:36 04:0140 13:17 14:28 15:41 02:54 03:27 03:5635 13:27 14:34 15:43 02:44 03:19 03:5230 13:36 14:40 15:46 02:34 03:12 03:4820 13:51 14:50 15:50 02:17 03:00 03:4210 14:03 14:58 15:53 02:03 02:50 03:360 14:15 15:06 15:57 01:49 02:40 03:30-10 14:27 15:14 15:60 01:35 02:30 03:24-20 14:40 15:22 16:03 01:20 02:19 03:18-30 14:55 15:32 16:07 01:03 02:06 03:11-35 15:03 15:37 16:10 00:53 01:59 03:07-40 15:13 15:43 16:12 00:41 01:51 03:02-45 15:24 15:51 16:15 00:27 01:41 02:57-50 15:37 15:59 16:19 00:10 01:29 02:50-52 15:43 16:03 16:21 00:03 01:24 02:47-54 15:50 16:07 16:22 –:– 01:18 02:44-56 15:58 16:12 16:24 –:– 01:11 02:40-58 16:06 16:17 16:27 –:– 01:03 02:36-60 16:16 16:23 16:29 –:– 00:54 02:31

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower22 01:26 01:31 11:58 20:27 08:02 10(73%)23 01:37 01:43 11:58 21:18 08:52 11(82%)24 01:48 01:54 11:58 22:08 09:43 12(90%)

77

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April 25, 26 ,27 (Sun., Mon., Tue.)Aries Venus Mars Jupiter Saturn

Sun GHA GHA Dec GHA Dec GHA Dec GHA Dec0 213◦13.7 172◦50.7 15◦05.1 122◦13.2 24◦53.5 243◦18.8 -13◦02.1 257◦43.8 -17◦29.61 228◦16.2 187◦50.1 15◦06.2 137◦14.0 24◦53.5 258◦20.9 -13◦01.9 272◦46.2 -17◦29.62 243◦18.6 202◦49.6 15◦07.2 152◦14.8 24◦53.5 273◦23.0 -13◦01.8 287◦48.5 -17◦29.53 258◦21.1 217◦49.0 15◦08.2 167◦15.6 24◦53.5 288◦25.1 -13◦01.7 302◦50.8 -17◦29.54 273◦23.5 232◦48.5 15◦09.2 182◦16.4 24◦53.5 303◦27.2 -13◦01.6 317◦53.2 -17◦29.55 288◦26.0 247◦47.9 15◦10.2 197◦17.2 24◦53.5 318◦29.3 -13◦01.4 332◦55.5 -17◦29.56 303◦28.5 262◦47.4 15◦11.3 212◦18.0 24◦53.4 333◦31.4 -13◦01.3 347◦57.9 -17◦29.47 318◦30.9 277◦46.8 15◦12.3 227◦18.8 24◦53.4 348◦33.5 -13◦01.2 3◦00.2 -17◦29.48 333◦33.4 292◦46.3 15◦13.3 242◦19.6 24◦53.4 3◦35.6 -13◦01.1 18◦02.6 -17◦29.49 348◦35.9 307◦45.7 15◦14.3 257◦20.4 24◦53.4 18◦37.6 -13◦00.9 33◦04.9 -17◦29.410 3◦38.3 322◦45.2 15◦15.3 272◦21.2 24◦53.4 33◦39.7 -13◦00.8 48◦07.3 -17◦29.311 18◦40.8 337◦44.6 15◦16.3 287◦21.9 24◦53.4 48◦41.8 -13◦00.7 63◦09.6 -17◦29.312 33◦43.3 352◦44.0 15◦17.4 302◦22.7 24◦53.3 63◦43.9 -13◦00.6 78◦12.0 -17◦29.313 48◦45.7 7◦43.5 15◦18.4 317◦23.5 24◦53.3 78◦46.0 -13◦00.4 93◦14.3 -17◦29.214 63◦48.2 22◦42.9 15◦19.4 332◦24.3 24◦53.3 93◦48.1 -13◦00.3 108◦16.7 -17◦29.215 78◦50.6 37◦42.4 15◦20.4 347◦25.1 24◦53.3 108◦50.2 -13◦00.2 123◦19.1 -17◦29.216 93◦53.1 52◦41.8 15◦21.4 2◦25.9 24◦53.3 123◦52.3 -13◦00.1 138◦21.4 -17◦29.217 108◦55.6 67◦41.3 15◦22.4 17◦26.7 24◦53.2 138◦54.4 -12◦60.0 153◦23.8 -17◦29.118 123◦58.0 82◦40.7 15◦23.4 32◦27.5 24◦53.2 153◦56.5 -12◦59.8 168◦26.1 -17◦29.119 139◦00.5 97◦40.1 15◦24.4 47◦28.3 24◦53.2 168◦58.6 -12◦59.7 183◦28.5 -17◦29.120 154◦03.0 112◦39.6 15◦25.4 62◦29.1 24◦53.2 184◦00.7 -12◦59.6 198◦30.8 -17◦29.121 169◦05.4 127◦39.0 15◦26.5 77◦29.9 24◦53.2 199◦02.7 -12◦59.5 213◦33.2 -17◦29.022 184◦07.9 142◦38.4 15◦27.5 92◦30.7 24◦53.1 214◦04.8 -12◦59.3 228◦35.5 -17◦29.023 199◦10.4 157◦37.9 15◦28.5 107◦31.5 24◦53.1 229◦06.9 -12◦59.2 243◦37.9 -17◦29.0Mer.pass.:9:45: v-0.6 d1.0 m-3.8 v0.8 d-0.0 m1.5 v2.1 d0.1 m-2.0 v2.3 d0.0 m0.7

Mon GHA GHA Dec GHA Dec GHA Dec GHA Dec0 214◦12.8 172◦37.3 15◦29.5 122◦32.3 24◦53.1 244◦09.0 -12◦59.1 258◦40.2 -17◦29.01 229◦15.3 187◦36.8 15◦30.5 137◦33.0 24◦53.1 259◦11.1 -12◦59.0 273◦42.6 -17◦28.92 244◦17.8 202◦36.2 15◦31.5 152◦33.8 24◦53.1 274◦13.2 -12◦58.8 288◦44.9 -17◦28.93 259◦20.2 217◦35.6 15◦32.5 167◦34.6 24◦53.0 289◦15.3 -12◦58.7 303◦47.3 -17◦28.94 274◦22.7 232◦35.1 15◦33.5 182◦35.4 24◦53.0 304◦17.4 -12◦58.6 318◦49.6 -17◦28.95 289◦25.1 247◦34.5 15◦34.5 197◦36.2 24◦53.0 319◦19.5 -12◦58.5 333◦52.0 -17◦28.86 304◦27.6 262◦33.9 15◦35.5 212◦37.0 24◦53.0 334◦21.6 -12◦58.3 348◦54.3 -17◦28.87 319◦30.1 277◦33.4 15◦36.5 227◦37.8 24◦52.9 349◦23.7 -12◦58.2 3◦56.7 -17◦28.88 334◦32.5 292◦32.8 15◦37.5 242◦38.6 24◦52.9 4◦25.8 -12◦58.1 18◦59.0 -17◦28.89 349◦35.0 307◦32.2 15◦38.5 257◦39.4 24◦52.9 19◦27.9 -12◦58.0 34◦01.4 -17◦28.710 4◦37.5 322◦31.7 15◦39.5 272◦40.2 24◦52.9 34◦30.0 -12◦57.9 49◦03.8 -17◦28.711 19◦39.9 337◦31.1 15◦40.5 287◦41.0 24◦52.8 49◦32.1 -12◦57.7 64◦06.1 -17◦28.712 34◦42.4 352◦30.5 15◦41.5 302◦41.8 24◦52.8 64◦34.2 -12◦57.6 79◦08.5 -17◦28.713 49◦44.9 7◦30.0 15◦42.5 317◦42.6 24◦52.8 79◦36.3 -12◦57.5 94◦10.8 -17◦28.614 64◦47.3 22◦29.4 15◦43.5 332◦43.4 24◦52.8 94◦38.4 -12◦57.4 109◦13.2 -17◦28.615 79◦49.8 37◦28.8 15◦44.5 347◦44.1 24◦52.7 109◦40.4 -12◦57.2 124◦15.5 -17◦28.616 94◦52.2 52◦28.3 15◦45.5 2◦44.9 24◦52.7 124◦42.5 -12◦57.1 139◦17.9 -17◦28.617 109◦54.7 67◦27.7 15◦46.5 17◦45.7 24◦52.7 139◦44.6 -12◦57.0 154◦20.2 -17◦28.518 124◦57.2 82◦27.1 15◦47.5 32◦46.5 24◦52.6 154◦46.7 -12◦56.9 169◦22.6 -17◦28.519 139◦59.6 97◦26.5 15◦48.5 47◦47.3 24◦52.6 169◦48.8 -12◦56.8 184◦24.9 -17◦28.520 155◦02.1 112◦26.0 15◦49.5 62◦48.1 24◦52.6 184◦50.9 -12◦56.6 199◦27.3 -17◦28.521 170◦04.6 127◦25.4 15◦50.4 77◦48.9 24◦52.6 199◦53.0 -12◦56.5 214◦29.7 -17◦28.422 185◦07.0 142◦24.8 15◦51.4 92◦49.7 24◦52.5 214◦55.1 -12◦56.4 229◦32.0 -17◦28.423 200◦09.5 157◦24.3 15◦52.4 107◦50.5 24◦52.5 229◦57.2 -12◦56.3 244◦34.4 -17◦28.4Mer.pass.:9:41: v-0.6 d1.0 m-3.8 v0.8 d-0.0 m1.5 v2.1 d0.1 m-2.0 v2.4 d0.0 m0.7

Tue GHA GHA Dec GHA Dec GHA Dec GHA Dec0 215◦12.0 172◦23.7 15◦53.4 122◦51.3 24◦52.5 244◦59.3 -12◦56.1 259◦36.7 -17◦28.41 230◦14.4 187◦23.1 15◦54.4 137◦52.1 24◦52.4 260◦01.4 -12◦56.0 274◦39.1 -17◦28.32 245◦16.9 202◦22.5 15◦55.4 152◦52.9 24◦52.4 275◦03.5 -12◦55.9 289◦41.4 -17◦28.33 260◦19.4 217◦22.0 15◦56.4 167◦53.7 24◦52.4 290◦05.6 -12◦55.8 304◦43.8 -17◦28.34 275◦21.8 232◦21.4 15◦57.4 182◦54.4 24◦52.4 305◦07.7 -12◦55.7 319◦46.2 -17◦28.35 290◦24.3 247◦20.8 15◦58.4 197◦55.2 24◦52.3 320◦09.8 -12◦55.5 334◦48.5 -17◦28.26 305◦26.7 262◦20.2 15◦59.3 212◦56.0 24◦52.3 335◦11.9 -12◦55.4 349◦50.9 -17◦28.27 320◦29.2 277◦19.7 16◦00.3 227◦56.8 24◦52.3 350◦14.0 -12◦55.3 4◦53.2 -17◦28.28 335◦31.7 292◦19.1 16◦01.3 242◦57.6 24◦52.2 5◦16.1 -12◦55.2 19◦55.6 -17◦28.29 350◦34.1 307◦18.5 16◦02.3 257◦58.4 24◦52.2 20◦18.2 -12◦55.1 34◦57.9 -17◦28.110 5◦36.6 322◦17.9 16◦03.3 272◦59.2 24◦52.2 35◦20.3 -12◦54.9 50◦00.3 -17◦28.111 20◦39.1 337◦17.3 16◦04.3 287◦60.0 24◦52.1 50◦22.4 -12◦54.8 65◦02.7 -17◦28.112 35◦41.5 352◦16.8 16◦05.2 303◦00.8 24◦52.1 65◦24.5 -12◦54.7 80◦05.0 -17◦28.113 50◦44.0 7◦16.2 16◦06.2 318◦01.6 24◦52.1 80◦26.6 -12◦54.6 95◦07.4 -17◦28.014 65◦46.5 22◦15.6 16◦07.2 333◦02.4 24◦52.0 95◦28.7 -12◦54.4 110◦09.7 -17◦28.015 80◦48.9 37◦15.0 16◦08.2 348◦03.2 24◦52.0 110◦30.8 -12◦54.3 125◦12.1 -17◦28.016 95◦51.4 52◦14.4 16◦09.2 3◦04.0 24◦52.0 125◦32.9 -12◦54.2 140◦14.4 -17◦28.017 110◦53.9 67◦13.9 16◦10.1 18◦04.7 24◦51.9 140◦35.0 -12◦54.1 155◦16.8 -17◦27.918 125◦56.3 82◦13.3 16◦11.1 33◦05.5 24◦51.9 155◦37.1 -12◦54.0 170◦19.2 -17◦27.919 140◦58.8 97◦12.7 16◦12.1 48◦06.3 24◦51.9 170◦39.2 -12◦53.8 185◦21.5 -17◦27.920 156◦01.2 112◦12.1 16◦13.1 63◦07.1 24◦51.8 185◦41.3 -12◦53.7 200◦23.9 -17◦27.921 171◦03.7 127◦11.5 16◦14.0 78◦07.9 24◦51.8 200◦43.4 -12◦53.6 215◦26.2 -17◦27.822 186◦06.2 142◦10.9 16◦15.0 93◦08.7 24◦51.8 215◦45.5 -12◦53.5 230◦28.6 -17◦27.823 201◦08.6 157◦10.4 16◦16.0 108◦09.5 24◦51.7 230◦47.7 -12◦53.4 245◦31.0 -17◦27.8Mer.pass.:9:37: v-0.6 d1.0 m-3.8 v0.8 d-0.0 m1.5 v2.1 d0.1 m-2.0 v2.4 d0.0 m0.7

StarsSHA Dec

Alpheratz 357◦38.2 29◦12.2Ankaa 353◦10.6 -42◦11.5

Schedar 349◦35.0 56◦39.0Diphda 348◦50.6 -17◦52.4

Achernar 335◦23.1 -57◦07.8Hamal 327◦55.0 23◦33.6Polaris 315◦54.6 89◦21.2Akamar 315◦14.5 -40◦13.4Menkar 314◦09.6 4◦10.2Mirfak 308◦33.1 49◦56.1

Aldebaran 290◦43.4 16◦33.0Rigel 281◦07.0 -8◦10.8

Capella 280◦26.7 46◦01.2Bellatrix 278◦26.4 6◦22.0Elnath 278◦06.0 28◦37.5Alnilam 275◦41.0 -1◦11.5

Betelgeuse 270◦55.6 7◦24.5Canopus 263◦54.0 -52◦42.7

Sirius 258◦29.0 -16◦44.7Adara 255◦08.4 -29◦00.3

Procyon 244◦54.0 5◦10.3Pollux 243◦21.0 27◦58.5Avior 234◦15.9 -59◦34.9Suhail 222◦48.4 -43◦31.3

Miaplacidus 221◦38.6 -69◦48.5Alphard 217◦50.6 -8◦45.2Regulus 207◦37.5 11◦51.8Dubhe 193◦44.4 61◦38.4

Denebola 182◦27.7 14◦27.2Gienah 175◦46.4 -17◦39.7Acrux 173◦02.8 -63◦13.1

Gacrux 171◦54.4 -57◦14.0Alioth 166◦15.2 55◦50.8Spica 158◦25.2 -11◦16.3Alcaid 152◦54.0 49◦12.5Hadar 148◦39.6 -60◦28.5

Menkent 148◦00.8 -36◦28.5Arcturus 145◦50.2 19◦04.6

Rigil Kent. 139◦43.8 -60◦55.3Zubenelg. 136◦59.0 -16◦07.8Kochab 137◦18.7 74◦04.1

Alphecca 126◦06.0 26◦38.5Antares 112◦19.2 -26◦28.7

Atria 107◦15.8 -69◦03.7Sabik 102◦06.0 -15◦45.0

Shaula 96◦14.2 -37◦07.0Rasalhague 96◦01.2 12◦32.6

Etamin 90◦43.3 51◦28.9Kaus Aust. 83◦36.3 -34◦22.3

Vega 80◦35.1 38◦47.9Nunki 75◦51.4 -26◦16.1Altair 62◦02.9 8◦55.3

Peacock 53◦10.6 -56◦39.8Deneb 49◦27.9 45◦21.0

Enif 33◦41.9 9◦58.1Alnair 27◦37.0 -46◦51.4

Fomalhaut 15◦18.2 -29◦30.6Scheat 13◦48.4 28◦11.6Markab 13◦33.1 15◦18.9

2021/4/2 SHA Mer.passVenus 319◦37.0 12:29Mars 268◦59.5 15:50

Jupiter 30◦05.2 07:46Saturn 44◦30.1 06:48

2021/4/2 SHA Mer.passVenus 318◦24.5 12:30Mars 268◦19.4 15:49

Jupiter 29◦56.2 07:42Saturn 44◦27.4 06:44

2021/4/2 SHA Mer.passVenus 317◦11.7 12:31Mars 267◦39.3 15:48

Jupiter 29◦47.4 07:39Saturn 44◦24.8 06:41

Horizontal paralaxVenus: 0.1Mars: 0.1

78

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2021 April 25 to Apr. 27

h Sun MoonSun GHA Dec GHA ν Dec d HP0 180◦29.7 13◦11.6 26◦54.4 10.3 2◦26.8 -15.8 60.31 195◦29.8 13◦12.4 41◦23.7 10.2 2◦11.0 -15.8 60.32 210◦29.9 13◦13.2 55◦52.9 10.2 1◦55.2 -15.8 60.33 225◦30.1 13◦14.0 70◦22.1 10.2 1◦39.3 -15.9 60.44 240◦30.2 13◦14.8 84◦51.3 10.2 1◦23.5 -15.9 60.45 255◦30.3 13◦15.6 99◦20.4 10.1 1◦07.6 -15.9 60.46 270◦30.4 13◦16.4 113◦49.6 10.1 0◦51.6 -15.9 60.47 285◦30.5 13◦17.3 128◦18.6 10.1 0◦35.7 -16.0 60.58 300◦30.6 13◦18.1 142◦47.7 10.0 0◦19.7 -16.0 60.59 315◦30.7 13◦18.9 157◦16.7 10.0 0◦03.7 -16.0 60.510 330◦30.8 13◦19.7 171◦45.7 10.0 -0◦12.3 -16.0 60.611 345◦30.9 13◦20.5 186◦14.7 9.9 -0◦28.3 -16.0 60.612 0◦31.0 13◦21.3 200◦43.6 9.9 -0◦44.4 -16.0 60.613 15◦31.1 13◦22.1 215◦12.5 9.9 -1◦00.4 -16.1 60.614 30◦31.2 13◦22.9 229◦41.3 9.8 -1◦16.5 -16.1 60.715 45◦31.3 13◦23.7 244◦10.1 9.8 -1◦32.5 -16.1 60.716 60◦31.4 13◦24.5 258◦38.9 9.8 -1◦48.6 -16.1 60.717 75◦31.5 13◦25.3 273◦07.6 9.7 -2◦04.7 -16.1 60.718 90◦31.6 13◦26.2 287◦36.3 9.7 -2◦20.7 -16.1 60.819 105◦31.8 13◦27.0 302◦05.0 9.6 -2◦36.8 -16.1 60.820 120◦31.9 13◦27.8 316◦33.6 9.6 -2◦52.9 -16.1 60.821 135◦32.0 13◦28.6 331◦02.2 9.5 -3◦09.0 -16.1 60.822 150◦32.1 13◦29.4 345◦30.7 9.5 -3◦25.0 -16.1 60.923 165◦32.2 13◦30.2 359◦59.2 9.5 -3◦41.1 -16.1 60.9

SD.=15.9 d=0.8 S.D.=16.4

Mon GHA Dec GHA ν Dec d HP0 180◦32.3 13◦31.0 14◦27.6 9.4 -3◦57.1 -16.0 60.91 195◦32.4 13◦31.8 28◦56.0 9.4 -4◦13.2 -16.0 60.92 210◦32.5 13◦32.6 43◦24.3 9.3 -4◦29.2 -16.0 61.03 225◦32.6 13◦33.4 57◦52.6 9.3 -4◦45.2 -16.0 61.04 240◦32.7 13◦34.2 72◦20.8 9.2 -5◦01.2 -16.0 61.05 255◦32.8 13◦35.0 86◦49.0 9.2 -5◦17.2 -16.0 61.06 270◦32.9 13◦35.8 101◦17.1 9.1 -5◦33.2 -15.9 61.07 285◦33.0 13◦36.6 115◦45.2 9.0 -5◦49.1 -15.9 61.18 300◦33.1 13◦37.4 130◦13.2 9.0 -6◦05.0 -15.9 61.19 315◦33.2 13◦38.2 144◦41.2 8.9 -6◦20.9 -15.9 61.110 330◦33.3 13◦39.0 159◦09.1 8.9 -6◦36.7 -15.8 61.111 345◦33.4 13◦39.8 173◦37.0 8.8 -6◦52.6 -15.8 61.112 0◦33.5 13◦40.6 188◦04.8 8.8 -7◦08.3 -15.8 61.113 15◦33.6 13◦41.4 202◦32.5 8.7 -7◦24.1 -15.7 61.214 30◦33.7 13◦42.2 217◦00.2 8.7 -7◦39.8 -15.7 61.215 45◦33.8 13◦43.0 231◦27.8 8.6 -7◦55.5 -15.7 61.216 60◦33.9 13◦43.8 245◦55.4 8.5 -8◦11.1 -15.6 61.217 75◦34.0 13◦44.6 260◦22.9 8.5 -8◦26.7 -15.6 61.218 90◦34.1 13◦45.4 274◦50.3 8.4 -8◦42.3 -15.5 61.219 105◦34.2 13◦46.2 289◦17.7 8.3 -8◦57.8 -15.5 61.220 120◦34.3 13◦47.0 303◦45.0 8.3 -9◦13.3 -15.4 61.221 135◦34.4 13◦47.8 318◦12.2 8.2 -9◦28.7 -15.4 61.322 150◦34.5 13◦48.6 332◦39.4 8.1 -9◦44.0 -15.3 61.323 165◦34.6 13◦49.4 347◦06.5 8.1 -9◦59.3 -15.3 61.3

SD.=15.9 d=0.8 S.D.=16.6

Tue GHA Dec GHA ν Dec d HP0 180◦34.7 13◦50.2 1◦33.6 8.0 -10◦14.6 -15.2 61.31 195◦34.8 13◦51.0 16◦00.6 7.9 -10◦29.7 -15.2 61.32 210◦34.9 13◦51.8 30◦27.5 7.9 -10◦44.9 -15.1 61.33 225◦35.0 13◦52.6 44◦54.3 7.8 -10◦59.9 -15.0 61.34 240◦35.1 13◦53.4 59◦21.1 7.7 -11◦14.9 -15.0 61.35 255◦35.2 13◦54.2 73◦47.8 7.7 -11◦29.8 -14.9 61.36 270◦35.3 13◦55.0 88◦14.4 7.6 -11◦44.7 -14.8 61.37 285◦35.4 13◦55.8 102◦41.0 7.5 -11◦59.5 -14.7 61.38 300◦35.5 13◦56.6 117◦07.5 7.5 -12◦14.2 -14.7 61.39 315◦35.6 13◦57.3 131◦33.9 7.4 -12◦28.8 -14.6 61.310 330◦35.7 13◦58.1 146◦00.3 7.3 -12◦43.4 -14.5 61.311 345◦35.8 13◦58.9 160◦26.6 7.2 -12◦57.8 -14.4 61.312 0◦35.9 13◦59.7 174◦52.8 7.2 -13◦12.2 -14.4 61.413 15◦36.0 14◦00.5 189◦18.9 7.1 -13◦26.5 -14.3 61.414 30◦36.0 14◦01.3 203◦45.0 7.0 -13◦40.8 -14.2 61.415 45◦36.1 14◦02.1 218◦11.0 7.0 -13◦54.9 -14.1 61.416 60◦36.2 14◦02.9 232◦36.9 6.9 -14◦08.9 -14.0 61.417 75◦36.3 14◦03.7 247◦02.7 6.8 -14◦22.9 -13.9 61.418 90◦36.4 14◦04.5 261◦28.5 6.7 -14◦36.7 -13.8 61.419 105◦36.5 14◦05.2 275◦54.2 6.7 -14◦50.5 -13.7 61.420 120◦36.6 14◦06.0 290◦19.8 6.6 -15◦04.2 -13.6 61.321 135◦36.7 14◦06.8 304◦45.3 6.5 -15◦17.7 -13.5 61.322 150◦36.8 14◦07.6 319◦10.8 6.4 -15◦31.2 -13.4 61.323 165◦36.9 14◦08.4 333◦36.2 6.4 -15◦44.5 -13.3 61.3

SD.=15.9 d=0.8 S.D.=16.7

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 –:– –:– 02:29 21:32 –:– –:–70 –:– 00:49 02:58 21:01 23:27 –:–68 –:– 01:50 03:20 20:39 22:12 –:–66 –:– 02:23 03:36 20:22 21:37 –:–64 00:43 02:47 03:50 20:08 21:12 23:3162 01:37 03:06 04:02 19:56 20:53 22:2560 02:07 03:21 04:11 19:46 20:37 21:5258 02:29 03:33 04:20 19:37 20:24 21:2956 02:47 03:44 04:27 19:30 20:13 21:1154 03:02 03:54 04:34 19:23 20:03 20:5652 03:14 04:02 04:40 19:17 19:55 20:4350 03:25 04:10 04:45 19:11 19:47 20:3345 03:46 04:25 04:57 18:59 19:31 20:1140 04:03 04:38 05:06 18:50 19:19 19:5435 04:16 04:48 05:15 18:41 19:08 19:4030 04:27 04:57 05:22 18:34 18:59 19:2920 04:44 05:11 05:34 18:22 18:45 19:1210 04:58 05:23 05:45 18:11 18:33 18:580 05:08 05:33 05:54 18:01 18:22 18:47-10 05:18 05:43 06:04 17:51 18:13 18:38-20 05:26 05:52 06:14 17:41 18:04 18:30-30 05:33 06:01 06:26 17:29 17:54 18:22-35 05:37 06:07 06:33 17:22 17:49 18:18-40 05:40 06:12 06:40 17:15 17:43 18:15-45 05:44 06:18 06:49 17:06 17:36 18:11-50 05:48 06:26 06:59 16:55 17:29 18:07-52 05:49 06:29 07:04 16:51 17:26 18:06-54 05:51 06:32 07:10 16:45 17:22 18:04-56 05:52 06:36 07:15 16:39 17:18 18:02-58 05:54 06:40 07:22 16:33 17:14 18:00-60 05:56 06:45 07:30 16:25 17:10 17:59

Moonrise MoonsetLat. Sun Mon Tue Sun Mon Tue72 17:17 19:46 22:50 04:35 04:05 03:3070 17:13 19:31 22:06 04:33 04:12 03:4868 17:11 19:18 21:38 04:32 04:18 04:0266 17:08 19:08 21:16 04:31 04:23 04:1464 17:07 18:60 20:59 04:30 04:27 04:2562 17:05 18:53 20:46 04:30 04:31 04:3360 17:03 18:47 20:34 04:29 04:34 04:4158 17:02 18:41 20:24 04:28 04:37 04:4756 17:01 18:37 20:15 04:28 04:40 04:5354 17:00 18:33 20:07 04:27 04:42 04:5952 16:59 18:29 20:01 04:27 04:44 05:0350 16:58 18:25 19:54 04:27 04:46 05:0845 16:57 18:18 19:41 04:26 04:50 05:1740 16:55 18:12 19:30 04:25 04:54 05:2535 16:54 18:06 19:21 04:24 04:57 05:3230 16:53 18:02 19:13 04:24 04:60 05:3820 16:51 17:54 18:59 04:23 05:04 05:4910 16:49 17:47 18:47 04:22 05:09 05:580 16:48 17:41 18:36 04:21 05:12 06:07-10 16:46 17:34 18:25 04:20 05:16 06:15-20 16:45 17:28 18:14 04:19 05:21 06:25-30 16:43 17:20 18:00 04:17 05:25 06:35-35 16:42 17:16 17:53 04:17 05:28 06:42-40 16:41 17:11 17:44 04:16 05:31 06:49-45 16:40 17:05 17:34 04:15 05:35 06:57-50 16:38 16:59 17:22 04:14 05:39 07:07-52 16:38 16:56 17:17 04:13 05:41 07:12-54 16:37 16:52 17:11 04:13 05:43 07:17-56 16:36 16:49 17:04 04:12 05:46 07:23-58 16:35 16:45 16:56 04:11 05:49 07:29-60 16:34 16:40 16:48 04:10 05:52 07:37

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower25 01:59 02:04 11:57 23:00 10:34 13(96%)26 02:09 02:14 11:57 23:53 11:26 14(99%)27 02:19 02:23 11:57 00:49 12:21 15(100%)

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April 28, 29 ,30 (Wed., Thu., Fri.)Aries Venus Mars Jupiter Saturn

Wed GHA GHA Dec GHA Dec GHA Dec GHA Dec0 216◦11.1 172◦09.8 16◦17.0 123◦10.3 24◦51.7 245◦49.8 -12◦53.2 260◦33.3 -17◦27.81 231◦13.6 187◦09.2 16◦17.9 138◦11.1 24◦51.7 260◦51.9 -12◦53.1 275◦35.7 -17◦27.82 246◦16.0 202◦08.6 16◦18.9 153◦11.9 24◦51.6 275◦54.0 -12◦53.0 290◦38.0 -17◦27.73 261◦18.5 217◦08.0 16◦19.9 168◦12.7 24◦51.6 290◦56.1 -12◦52.9 305◦40.4 -17◦27.74 276◦21.0 232◦07.4 16◦20.8 183◦13.5 24◦51.5 305◦58.2 -12◦52.8 320◦42.8 -17◦27.75 291◦23.4 247◦06.8 16◦21.8 198◦14.2 24◦51.5 321◦00.3 -12◦52.6 335◦45.1 -17◦27.76 306◦25.9 262◦06.3 16◦22.8 213◦15.0 24◦51.5 336◦02.4 -12◦52.5 350◦47.5 -17◦27.67 321◦28.3 277◦05.7 16◦23.7 228◦15.8 24◦51.4 351◦04.5 -12◦52.4 5◦49.8 -17◦27.68 336◦30.8 292◦05.1 16◦24.7 243◦16.6 24◦51.4 6◦06.6 -12◦52.3 20◦52.2 -17◦27.69 351◦33.3 307◦04.5 16◦25.7 258◦17.4 24◦51.3 21◦08.7 -12◦52.2 35◦54.6 -17◦27.610 6◦35.7 322◦03.9 16◦26.6 273◦18.2 24◦51.3 36◦10.8 -12◦52.0 50◦56.9 -17◦27.511 21◦38.2 337◦03.3 16◦27.6 288◦19.0 24◦51.3 51◦12.9 -12◦51.9 65◦59.3 -17◦27.512 36◦40.7 352◦02.7 16◦28.6 303◦19.8 24◦51.2 66◦15.0 -12◦51.8 81◦01.7 -17◦27.513 51◦43.1 7◦02.1 16◦29.5 318◦20.6 24◦51.2 81◦17.1 -12◦51.7 96◦04.0 -17◦27.514 66◦45.6 22◦01.5 16◦30.5 333◦21.4 24◦51.1 96◦19.2 -12◦51.6 111◦06.4 -17◦27.515 81◦48.1 37◦00.9 16◦31.5 348◦22.2 24◦51.1 111◦21.3 -12◦51.5 126◦08.7 -17◦27.416 96◦50.5 52◦00.4 16◦32.4 3◦23.0 24◦51.1 126◦23.4 -12◦51.3 141◦11.1 -17◦27.417 111◦53.0 66◦59.8 16◦33.4 18◦23.8 24◦51.0 141◦25.5 -12◦51.2 156◦13.5 -17◦27.418 126◦55.5 81◦59.2 16◦34.3 33◦24.5 24◦51.0 156◦27.7 -12◦51.1 171◦15.8 -17◦27.419 141◦57.9 96◦58.6 16◦35.3 48◦25.3 24◦50.9 171◦29.8 -12◦51.0 186◦18.2 -17◦27.320 157◦00.4 111◦58.0 16◦36.3 63◦26.1 24◦50.9 186◦31.9 -12◦50.9 201◦20.6 -17◦27.321 172◦02.8 126◦57.4 16◦37.2 78◦26.9 24◦50.9 201◦34.0 -12◦50.7 216◦22.9 -17◦27.322 187◦05.3 141◦56.8 16◦38.2 93◦27.7 24◦50.8 216◦36.1 -12◦50.6 231◦25.3 -17◦27.323 202◦07.8 156◦56.2 16◦39.1 108◦28.5 24◦50.8 231◦38.2 -12◦50.5 246◦27.6 -17◦27.2Mer.pass.:9:33: v-0.6 d1.0 m-3.8 v0.8 d-0.0 m1.5 v2.1 d0.1 m-2.0 v2.4 d0.0 m0.7

Thu GHA GHA Dec GHA Dec GHA Dec GHA Dec0 217◦10.2 171◦55.6 16◦40.1 123◦29.3 24◦50.7 246◦40.3 -12◦50.4 261◦30.0 -17◦27.21 232◦12.7 186◦55.0 16◦41.0 138◦30.1 24◦50.7 261◦42.4 -12◦50.3 276◦32.4 -17◦27.22 247◦15.2 201◦54.4 16◦42.0 153◦30.9 24◦50.6 276◦44.5 -12◦50.1 291◦34.7 -17◦27.23 262◦17.6 216◦53.8 16◦43.0 168◦31.7 24◦50.6 291◦46.6 -12◦50.0 306◦37.1 -17◦27.24 277◦20.1 231◦53.2 16◦43.9 183◦32.5 24◦50.5 306◦48.7 -12◦49.9 321◦39.5 -17◦27.15 292◦22.6 246◦52.6 16◦44.9 198◦33.3 24◦50.5 321◦50.9 -12◦49.8 336◦41.8 -17◦27.16 307◦25.0 261◦52.0 16◦45.8 213◦34.0 24◦50.5 336◦53.0 -12◦49.7 351◦44.2 -17◦27.17 322◦27.5 276◦51.4 16◦46.8 228◦34.8 24◦50.4 351◦55.1 -12◦49.6 6◦46.6 -17◦27.18 337◦30.0 291◦50.8 16◦47.7 243◦35.6 24◦50.4 6◦57.2 -12◦49.4 21◦48.9 -17◦27.09 352◦32.4 306◦50.2 16◦48.7 258◦36.4 24◦50.3 21◦59.3 -12◦49.3 36◦51.3 -17◦27.010 7◦34.9 321◦49.6 16◦49.6 273◦37.2 24◦50.3 37◦01.4 -12◦49.2 51◦53.7 -17◦27.011 22◦37.3 336◦49.0 16◦50.6 288◦38.0 24◦50.2 52◦03.5 -12◦49.1 66◦56.0 -17◦27.012 37◦39.8 351◦48.4 16◦51.5 303◦38.8 24◦50.2 67◦05.6 -12◦49.0 81◦58.4 -17◦27.013 52◦42.3 6◦47.8 16◦52.4 318◦39.6 24◦50.1 82◦07.7 -12◦48.9 97◦00.8 -17◦26.914 67◦44.7 21◦47.2 16◦53.4 333◦40.4 24◦50.1 97◦09.9 -12◦48.7 112◦03.1 -17◦26.915 82◦47.2 36◦46.6 16◦54.3 348◦41.2 24◦50.0 112◦12.0 -12◦48.6 127◦05.5 -17◦26.916 97◦49.7 51◦46.0 16◦55.3 3◦42.0 24◦50.0 127◦14.1 -12◦48.5 142◦07.9 -17◦26.917 112◦52.1 66◦45.4 16◦56.2 18◦42.8 24◦49.9 142◦16.2 -12◦48.4 157◦10.2 -17◦26.818 127◦54.6 81◦44.8 16◦57.2 33◦43.6 24◦49.9 157◦18.3 -12◦48.3 172◦12.6 -17◦26.819 142◦57.1 96◦44.2 16◦58.1 48◦44.3 24◦49.8 172◦20.4 -12◦48.1 187◦15.0 -17◦26.820 157◦59.5 111◦43.6 16◦59.0 63◦45.1 24◦49.8 187◦22.5 -12◦48.0 202◦17.3 -17◦26.821 173◦02.0 126◦43.0 16◦60.0 78◦45.9 24◦49.7 202◦24.6 -12◦47.9 217◦19.7 -17◦26.822 188◦04.5 141◦42.4 17◦00.9 93◦46.7 24◦49.7 217◦26.8 -12◦47.8 232◦22.1 -17◦26.723 203◦06.9 156◦41.8 17◦01.9 108◦47.5 24◦49.6 232◦28.9 -12◦47.7 247◦24.4 -17◦26.7Mer.pass.:9:29: v-0.6 d1.0 m-3.8 v0.8 d-0.0 m1.5 v2.1 d0.1 m-2.1 v2.4 d0.0 m0.7

Fri GHA GHA Dec GHA Dec GHA Dec GHA Dec0 218◦09.4 171◦41.2 17◦02.8 123◦48.3 24◦49.6 247◦31.0 -12◦47.6 262◦26.8 -17◦26.71 233◦11.8 186◦40.5 17◦03.7 138◦49.1 24◦49.5 262◦33.1 -12◦47.4 277◦29.2 -17◦26.72 248◦14.3 201◦39.9 17◦04.7 153◦49.9 24◦49.5 277◦35.2 -12◦47.3 292◦31.5 -17◦26.73 263◦16.8 216◦39.3 17◦05.6 168◦50.7 24◦49.4 292◦37.3 -12◦47.2 307◦33.9 -17◦26.64 278◦19.2 231◦38.7 17◦06.5 183◦51.5 24◦49.4 307◦39.4 -12◦47.1 322◦36.3 -17◦26.65 293◦21.7 246◦38.1 17◦07.5 198◦52.3 24◦49.3 322◦41.6 -12◦47.0 337◦38.6 -17◦26.66 308◦24.2 261◦37.5 17◦08.4 213◦53.1 24◦49.3 337◦43.7 -12◦46.9 352◦41.0 -17◦26.67 323◦26.6 276◦36.9 17◦09.3 228◦53.8 24◦49.2 352◦45.8 -12◦46.7 7◦43.4 -17◦26.58 338◦29.1 291◦36.3 17◦10.3 243◦54.6 24◦49.2 7◦47.9 -12◦46.6 22◦45.7 -17◦26.59 353◦31.6 306◦35.7 17◦11.2 258◦55.4 24◦49.1 22◦50.0 -12◦46.5 37◦48.1 -17◦26.510 8◦34.0 321◦35.1 17◦12.1 273◦56.2 24◦49.1 37◦52.1 -12◦46.4 52◦50.5 -17◦26.511 23◦36.5 336◦34.4 17◦13.1 288◦57.0 24◦49.0 52◦54.2 -12◦46.3 67◦52.8 -17◦26.512 38◦39.0 351◦33.8 17◦14.0 303◦57.8 24◦49.0 67◦56.4 -12◦46.2 82◦55.2 -17◦26.413 53◦41.4 6◦33.2 17◦14.9 318◦58.6 24◦48.9 82◦58.5 -12◦46.1 97◦57.6 -17◦26.414 68◦43.9 21◦32.6 17◦15.8 333◦59.4 24◦48.8 98◦00.6 -12◦45.9 112◦60.0 -17◦26.415 83◦46.3 36◦32.0 17◦16.8 349◦00.2 24◦48.8 113◦02.7 -12◦45.8 128◦02.3 -17◦26.416 98◦48.8 51◦31.4 17◦17.7 4◦01.0 24◦48.7 128◦04.8 -12◦45.7 143◦04.7 -17◦26.417 113◦51.3 66◦30.8 17◦18.6 19◦01.8 24◦48.7 143◦07.0 -12◦45.6 158◦07.1 -17◦26.318 128◦53.7 81◦30.1 17◦19.5 34◦02.6 24◦48.6 158◦09.1 -12◦45.5 173◦09.4 -17◦26.319 143◦56.2 96◦29.5 17◦20.5 49◦03.3 24◦48.6 173◦11.2 -12◦45.4 188◦11.8 -17◦26.320 158◦58.7 111◦28.9 17◦21.4 64◦04.1 24◦48.5 188◦13.3 -12◦45.2 203◦14.2 -17◦26.321 174◦01.1 126◦28.3 17◦22.3 79◦04.9 24◦48.5 203◦15.4 -12◦45.1 218◦16.6 -17◦26.322 189◦03.6 141◦27.7 17◦23.2 94◦05.7 24◦48.4 218◦17.5 -12◦45.0 233◦18.9 -17◦26.223 204◦06.1 156◦27.1 17◦24.1 109◦06.5 24◦48.3 233◦19.7 -12◦44.9 248◦21.3 -17◦26.2Mer.pass.:9:25: v-0.6 d0.9 m-3.8 v0.8 d-0.1 m1.6 v2.1 d0.1 m-2.1 v2.4 d0.0 m0.7

StarsSHA Dec

Alpheratz 357◦38.2 29◦12.2Ankaa 353◦10.6 -42◦11.5

Schedar 349◦34.9 56◦38.9Diphda 348◦50.6 -17◦52.4

Achernar 335◦23.1 -57◦07.8Hamal 327◦55.0 23◦33.6Polaris 315◦54.5 89◦21.2Akamar 315◦14.5 -40◦13.4Menkar 314◦09.6 4◦10.2Mirfak 308◦33.1 49◦56.1

Aldebaran 290◦43.4 16◦33.0Rigel 281◦07.0 -8◦10.8

Capella 280◦26.7 46◦01.2Bellatrix 278◦26.4 6◦22.0Elnath 278◦06.0 28◦37.5Alnilam 275◦41.1 -1◦11.5

Betelgeuse 270◦55.6 7◦24.5Canopus 263◦54.0 -52◦42.7

Sirius 258◦29.0 -16◦44.7Adara 255◦08.4 -29◦00.3

Procyon 244◦54.0 5◦10.3Pollux 243◦21.0 27◦58.5Avior 234◦16.0 -59◦34.9Suhail 222◦48.4 -43◦31.3

Miaplacidus 221◦38.7 -69◦48.5Alphard 217◦50.7 -8◦45.2Regulus 207◦37.5 11◦51.8Dubhe 193◦44.4 61◦38.4

Denebola 182◦27.7 14◦27.2Gienah 175◦46.4 -17◦39.7Acrux 173◦02.8 -63◦13.1

Gacrux 171◦54.4 -57◦14.0Alioth 166◦15.3 55◦50.8Spica 158◦25.2 -11◦16.3Alcaid 152◦54.0 49◦12.5Hadar 148◦39.6 -60◦28.5

Menkent 148◦00.8 -36◦28.5Arcturus 145◦50.2 19◦04.6

Rigil Kent. 139◦43.7 -60◦55.3Zubenelg. 136◦59.0 -16◦07.8Kochab 137◦18.7 74◦04.1

Alphecca 126◦06.0 26◦38.6Antares 112◦19.2 -26◦28.7

Atria 107◦15.7 -69◦03.7Sabik 102◦06.0 -15◦45.0

Shaula 96◦14.2 -37◦07.0Rasalhague 96◦01.1 12◦32.6

Etamin 90◦43.2 51◦28.9Kaus Aust. 83◦36.3 -34◦22.3

Vega 80◦35.1 38◦47.9Nunki 75◦51.4 -26◦16.1Altair 62◦02.9 8◦55.3

Peacock 53◦10.5 -56◦39.8Deneb 49◦27.8 45◦21.0

Enif 33◦41.9 9◦58.1Alnair 27◦37.0 -46◦51.4

Fomalhaut 15◦18.2 -29◦30.6Scheat 13◦48.4 28◦11.6Markab 13◦33.1 15◦18.9

2021/4/2 SHA Mer.passVenus 315◦58.7 12:32Mars 266◦59.2 15:46

Jupiter 29◦38.7 07:36Saturn 44◦22.2 06:37

2021/4/2 SHA Mer.passVenus 314◦45.4 12:33Mars 266◦19.1 15:45

Jupiter 29◦30.1 07:32Saturn 44◦19.8 06:33

2021/4/3 SHA Mer.passVenus 313◦31.8 12:34Mars 265◦38.9 15:44

Jupiter 29◦21.6 07:29Saturn 44◦17.4 06:29

Horizontal paralaxVenus: 0.1Mars: 0.1

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2021 April 28 to Apr. 30

h Sun MoonWed GHA Dec GHA ν Dec d HP0 180◦37.0 14◦09.2 348◦01.5 6.3 -15◦57.8 -13.2 61.31 195◦37.1 14◦10.0 2◦26.8 6.2 -16◦10.9 -13.1 61.32 210◦37.2 14◦10.8 16◦51.9 6.1 -16◦24.0 -13.0 61.33 225◦37.3 14◦11.5 31◦17.0 6.1 -16◦36.9 -12.9 61.34 240◦37.4 14◦12.3 45◦42.0 6.0 -16◦49.7 -12.7 61.35 255◦37.5 14◦13.1 60◦07.0 5.9 -17◦02.4 -12.6 61.36 270◦37.5 14◦13.9 74◦31.9 5.8 -17◦14.9 -12.5 61.37 285◦37.6 14◦14.7 88◦56.7 5.8 -17◦27.4 -12.4 61.38 300◦37.7 14◦15.5 103◦21.4 5.7 -17◦39.7 -12.3 61.39 315◦37.8 14◦16.2 117◦46.1 5.6 -17◦51.9 -12.1 61.310 330◦37.9 14◦17.0 132◦10.6 5.5 -18◦04.0 -12.0 61.311 345◦38.0 14◦17.8 146◦35.2 5.5 -18◦15.9 -11.9 61.212 0◦38.1 14◦18.6 160◦59.6 5.4 -18◦27.7 -11.8 61.213 15◦38.2 14◦19.4 175◦24.0 5.3 -18◦39.4 -11.6 61.214 30◦38.3 14◦20.1 189◦48.3 5.3 -18◦51.0 -11.5 61.215 45◦38.4 14◦20.9 204◦12.5 5.2 -19◦02.4 -11.3 61.216 60◦38.4 14◦21.7 218◦36.7 5.1 -19◦13.7 -11.2 61.217 75◦38.5 14◦22.5 233◦00.8 5.1 -19◦24.8 -11.1 61.218 90◦38.6 14◦23.3 247◦24.8 5.0 -19◦35.8 -10.9 61.219 105◦38.7 14◦24.0 261◦48.7 4.9 -19◦46.7 -10.8 61.120 120◦38.8 14◦24.8 276◦12.6 4.9 -19◦57.4 -10.6 61.121 135◦38.9 14◦25.6 290◦36.5 4.8 -20◦08.0 -10.5 61.122 150◦39.0 14◦26.4 305◦00.2 4.7 -20◦18.4 -10.4 61.123 165◦39.1 14◦27.2 319◦23.9 4.7 -20◦28.7 -10.2 61.1

SD.=15.9 d=0.8 S.D.=16.7

Thu GHA Dec GHA ν Dec d HP0 180◦39.2 14◦27.9 333◦47.6 4.6 -20◦38.8 -10.1 61.11 195◦39.2 14◦28.7 348◦11.2 4.6 -20◦48.8 -9.9 61.02 210◦39.3 14◦29.5 2◦34.7 4.5 -20◦58.6 -9.7 61.03 225◦39.4 14◦30.3 16◦58.1 4.4 -21◦08.3 -9.6 61.04 240◦39.5 14◦31.0 31◦21.5 4.4 -21◦17.8 -9.4 61.05 255◦39.6 14◦31.8 45◦44.9 4.3 -21◦27.1 -9.3 61.06 270◦39.7 14◦32.6 60◦08.2 4.3 -21◦36.3 -9.1 60.97 285◦39.8 14◦33.4 74◦31.4 4.2 -21◦45.4 -9.0 60.98 300◦39.8 14◦34.1 88◦54.6 4.2 -21◦54.3 -8.8 60.99 315◦39.9 14◦34.9 103◦17.8 4.1 -22◦03.0 -8.6 60.910 330◦40.0 14◦35.7 117◦40.9 4.1 -22◦11.5 -8.5 60.911 345◦40.1 14◦36.4 132◦03.9 4.0 -22◦19.9 -8.3 60.812 0◦40.2 14◦37.2 146◦26.9 4.0 -22◦28.1 -8.1 60.813 15◦40.3 14◦38.0 160◦49.8 3.9 -22◦36.2 -8.0 60.814 30◦40.4 14◦38.8 175◦12.8 3.9 -22◦44.1 -7.8 60.815 45◦40.4 14◦39.5 189◦35.6 3.8 -22◦51.8 -7.6 60.716 60◦40.5 14◦40.3 203◦58.5 3.8 -22◦59.4 -7.5 60.717 75◦40.6 14◦41.1 218◦21.2 3.8 -23◦06.7 -7.3 60.718 90◦40.7 14◦41.8 232◦44.0 3.7 -23◦14.0 -7.1 60.719 105◦40.8 14◦42.6 247◦06.7 3.7 -23◦21.0 -6.9 60.620 120◦40.9 14◦43.4 261◦29.4 3.7 -23◦27.9 -6.8 60.621 135◦40.9 14◦44.1 275◦52.1 3.6 -23◦34.5 -6.6 60.622 150◦41.0 14◦44.9 290◦14.7 3.6 -23◦41.1 -6.4 60.623 165◦41.1 14◦45.7 304◦37.3 3.6 -23◦47.4 -6.2 60.5

SD.=15.9 d=0.8 S.D.=16.7

Fri GHA Dec GHA ν Dec d HP0 180◦41.2 14◦46.4 318◦59.9 3.6 -23◦53.5 -6.1 60.51 195◦41.3 14◦47.2 333◦22.4 3.5 -23◦59.5 -5.9 60.52 210◦41.4 14◦48.0 347◦45.0 3.5 -24◦05.3 -5.7 60.43 225◦41.4 14◦48.7 2◦07.5 3.5 -24◦11.0 -5.5 60.44 240◦41.5 14◦49.5 16◦30.0 3.5 -24◦16.4 -5.4 60.45 255◦41.6 14◦50.3 30◦52.5 3.5 -24◦21.7 -5.2 60.46 270◦41.7 14◦51.0 45◦15.0 3.5 -24◦26.8 -5.0 60.37 285◦41.8 14◦51.8 59◦37.4 3.5 -24◦31.7 -4.8 60.38 300◦41.8 14◦52.6 73◦59.9 3.5 -24◦36.4 -4.6 60.39 315◦41.9 14◦53.3 88◦22.3 3.4 -24◦40.9 -4.5 60.210 330◦42.0 14◦54.1 102◦44.8 3.4 -24◦45.3 -4.3 60.211 345◦42.1 14◦54.8 117◦07.2 3.4 -24◦49.5 -4.1 60.212 0◦42.2 14◦55.6 131◦29.7 3.4 -24◦53.5 -3.9 60.113 15◦42.2 14◦56.4 145◦52.1 3.5 -24◦57.3 -3.7 60.114 30◦42.3 14◦57.1 160◦14.6 3.5 -25◦00.9 -3.5 60.115 45◦42.4 14◦57.9 174◦37.0 3.5 -25◦04.4 -3.4 60.016 60◦42.5 14◦58.6 188◦59.5 3.5 -25◦07.7 -3.2 60.017 75◦42.5 14◦59.4 203◦22.0 3.5 -25◦10.7 -3.0 60.018 90◦42.6 15◦00.2 217◦44.5 3.5 -25◦13.7 -2.8 59.919 105◦42.7 15◦00.9 232◦07.0 3.5 -25◦16.4 -2.6 59.920 120◦42.8 15◦01.7 246◦29.5 3.5 -25◦18.9 -2.5 59.921 135◦42.9 15◦02.4 260◦52.1 3.6 -25◦21.3 -2.3 59.822 150◦42.9 15◦03.2 275◦14.7 3.6 -25◦23.5 -2.1 59.823 165◦43.0 15◦04.0 289◦37.3 3.6 -25◦25.5 -1.9 59.8

SD.=15.9 d=0.8 S.D.=16.5

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 –:– –:– 02:07 21:54 –:– –:–70 –:– –:– 02:42 21:17 –:– –:–68 –:– 01:25 03:06 20:52 22:38 –:–66 –:– 02:06 03:25 20:33 21:53 –:–64 –:– 02:34 03:40 20:17 21:24 –:–62 01:15 02:54 03:52 20:04 21:03 22:4760 01:52 03:11 04:03 19:53 20:46 22:0758 02:17 03:25 04:12 19:44 20:32 21:4056 02:37 03:36 04:20 19:36 20:20 21:2054 02:53 03:47 04:28 19:28 20:10 21:0452 03:06 03:56 04:34 19:22 20:00 20:5050 03:17 04:04 04:40 19:16 19:52 20:3945 03:40 04:20 04:52 19:03 19:35 20:1540 03:58 04:33 05:03 18:53 19:22 19:5835 04:12 04:44 05:11 18:44 19:11 19:4330 04:24 04:54 05:19 18:36 19:01 19:3220 04:42 05:09 05:32 18:23 18:46 19:1310 04:56 05:22 05:43 18:11 18:33 18:590 05:08 05:33 05:54 18:01 18:22 18:47-10 05:18 05:43 06:04 17:50 18:12 18:37-20 05:27 05:53 06:15 17:39 18:02 18:28-30 05:35 06:03 06:28 17:26 17:51 18:19-35 05:39 06:09 06:35 17:19 17:45 18:15-40 05:43 06:15 06:43 17:11 17:39 18:11-45 05:47 06:22 06:53 17:02 17:32 18:07-50 05:52 06:30 07:04 16:50 17:24 18:02-52 05:54 06:33 07:09 16:45 17:20 18:00-54 05:55 06:37 07:15 16:39 17:17 17:58-56 05:57 06:42 07:21 16:32 17:12 17:56-58 05:60 06:46 07:29 16:25 17:07 17:54-60 06:02 06:51 07:37 16:17 17:02 17:52

Moonrise MoonsetLat. Wed Thu Fri Wed Thu Fri72 –:– –:– –:– 02:25 –:– –:–70 –:– –:– –:– 03:10 –:– –:–68 –:– 00:30 –:– 03:41 02:53 –:–66 23:37 –:– –:– 04:04 03:47 –:–64 23:05 –:– 01:15 04:22 04:20 04:1962 22:42 –:– 00:35 04:37 04:44 05:0060 22:23 –:– 00:07 04:49 05:03 05:2858 22:07 23:46 –:– 05:00 05:20 05:5056 21:54 23:28 –:– 05:10 05:34 06:0854 21:43 23:13 –:– 05:19 05:46 06:2352 21:33 23:00 –:– 05:26 05:56 06:3650 21:24 22:49 –:– 05:33 06:06 06:4845 21:05 22:26 23:38 05:48 06:26 07:1240 20:50 22:07 23:17 06:00 06:42 07:3235 20:37 21:51 23:00 06:11 06:56 07:4830 20:26 21:38 22:45 06:20 07:08 08:0220 20:07 21:15 22:20 06:36 07:29 08:2610 19:50 20:55 21:59 06:50 07:47 08:470 19:35 20:36 21:39 07:04 08:04 09:06-10 19:20 20:18 21:19 07:17 08:21 09:25-20 19:04 19:58 20:57 07:31 08:39 09:46-30 18:45 19:36 20:33 07:47 09:00 10:10-35 18:35 19:23 20:18 07:57 09:12 10:25-40 18:22 19:08 20:02 08:08 09:27 10:41-45 18:08 18:50 19:42 08:21 09:44 11:01-50 17:51 18:28 19:16 08:37 10:05 11:25-52 17:43 18:18 19:04 08:44 10:15 11:37-54 17:34 18:06 18:51 08:52 10:26 11:51-56 17:24 17:52 18:35 09:02 10:39 12:06-58 17:12 17:37 18:16 09:12 10:54 12:25-60 16:59 17:18 17:52 09:25 11:12 12:48

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower28 02:28 02:32 11:57 00:49 13:19 16(97%)29 02:37 02:41 11:57 01:49 14:19 17(92%)30 02:45 02:49 11:57 02:51 15:22 18(84%)

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May 01, 02 ,03 (Sat., Sun., Mon.)Aries Venus Mars Jupiter Saturn

Sat GHA GHA Dec GHA Dec GHA Dec GHA Dec0 219◦08.5 171◦26.4 17◦25.1 124◦07.3 24◦48.3 248◦21.8 -12◦44.8 263◦23.7 -17◦26.21 234◦11.0 186◦25.8 17◦26.0 139◦08.1 24◦48.2 263◦23.9 -12◦44.7 278◦26.0 -17◦26.22 249◦13.4 201◦25.2 17◦26.9 154◦08.9 24◦48.2 278◦26.0 -12◦44.6 293◦28.4 -17◦26.23 264◦15.9 216◦24.6 17◦27.8 169◦09.7 24◦48.1 293◦28.1 -12◦44.4 308◦30.8 -17◦26.14 279◦18.4 231◦24.0 17◦28.7 184◦10.5 24◦48.0 308◦30.3 -12◦44.3 323◦33.2 -17◦26.15 294◦20.8 246◦23.3 17◦29.7 199◦11.3 24◦48.0 323◦32.4 -12◦44.2 338◦35.5 -17◦26.16 309◦23.3 261◦22.7 17◦30.6 214◦12.1 24◦47.9 338◦34.5 -12◦44.1 353◦37.9 -17◦26.17 324◦25.8 276◦22.1 17◦31.5 229◦12.9 24◦47.9 353◦36.6 -12◦44.0 8◦40.3 -17◦26.18 339◦28.2 291◦21.5 17◦32.4 244◦13.6 24◦47.8 8◦38.7 -12◦43.9 23◦42.6 -17◦26.09 354◦30.7 306◦20.8 17◦33.3 259◦14.4 24◦47.7 23◦40.9 -12◦43.8 38◦45.0 -17◦26.010 9◦33.2 321◦20.2 17◦34.2 274◦15.2 24◦47.7 38◦43.0 -12◦43.6 53◦47.4 -17◦26.011 24◦35.6 336◦19.6 17◦35.1 289◦16.0 24◦47.6 53◦45.1 -12◦43.5 68◦49.8 -17◦26.012 39◦38.1 351◦19.0 17◦36.0 304◦16.8 24◦47.6 68◦47.2 -12◦43.4 83◦52.1 -17◦26.013 54◦40.6 6◦18.3 17◦36.9 319◦17.6 24◦47.5 83◦49.4 -12◦43.3 98◦54.5 -17◦25.914 69◦43.0 21◦17.7 17◦37.9 334◦18.4 24◦47.4 98◦51.5 -12◦43.2 113◦56.9 -17◦25.915 84◦45.5 36◦17.1 17◦38.8 349◦19.2 24◦47.4 113◦53.6 -12◦43.1 128◦59.3 -17◦25.916 99◦47.9 51◦16.5 17◦39.7 4◦20.0 24◦47.3 128◦55.7 -12◦43.0 144◦01.6 -17◦25.917 114◦50.4 66◦15.8 17◦40.6 19◦20.8 24◦47.2 143◦57.8 -12◦42.8 159◦04.0 -17◦25.918 129◦52.9 81◦15.2 17◦41.5 34◦21.6 24◦47.2 158◦60.0 -12◦42.7 174◦06.4 -17◦25.819 144◦55.3 96◦14.6 17◦42.4 49◦22.4 24◦47.1 174◦02.1 -12◦42.6 189◦08.8 -17◦25.820 159◦57.8 111◦14.0 17◦43.3 64◦23.1 24◦47.1 189◦04.2 -12◦42.5 204◦11.1 -17◦25.821 175◦00.3 126◦13.3 17◦44.2 79◦23.9 24◦47.0 204◦06.3 -12◦42.4 219◦13.5 -17◦25.822 190◦02.7 141◦12.7 17◦45.1 94◦24.7 24◦46.9 219◦08.5 -12◦42.3 234◦15.9 -17◦25.823 205◦05.2 156◦12.1 17◦46.0 109◦25.5 24◦46.9 234◦10.6 -12◦42.2 249◦18.3 -17◦25.7Mer.pass.:9:21: v-0.6 d0.9 m-3.8 v0.8 d-0.1 m1.6 v2.1 d0.1 m-2.1 v2.4 d0.0 m0.7

Sun GHA GHA Dec GHA Dec GHA Dec GHA Dec0 220◦07.7 171◦11.4 17◦46.9 124◦26.3 24◦46.8 249◦12.7 -12◦42.1 264◦20.6 -17◦25.71 235◦10.1 186◦10.8 17◦47.8 139◦27.1 24◦46.7 264◦14.8 -12◦41.9 279◦23.0 -17◦25.72 250◦12.6 201◦10.2 17◦48.7 154◦27.9 24◦46.7 279◦17.0 -12◦41.8 294◦25.4 -17◦25.73 265◦15.1 216◦09.5 17◦49.6 169◦28.7 24◦46.6 294◦19.1 -12◦41.7 309◦27.8 -17◦25.74 280◦17.5 231◦08.9 17◦50.5 184◦29.5 24◦46.5 309◦21.2 -12◦41.6 324◦30.1 -17◦25.65 295◦20.0 246◦08.3 17◦51.4 199◦30.3 24◦46.5 324◦23.3 -12◦41.5 339◦32.5 -17◦25.66 310◦22.4 261◦07.6 17◦52.3 214◦31.1 24◦46.4 339◦25.5 -12◦41.4 354◦34.9 -17◦25.67 325◦24.9 276◦07.0 17◦53.2 229◦31.9 24◦46.3 354◦27.6 -12◦41.3 9◦37.3 -17◦25.68 340◦27.4 291◦06.4 17◦54.1 244◦32.6 24◦46.3 9◦29.7 -12◦41.2 24◦39.6 -17◦25.69 355◦29.8 306◦05.7 17◦55.0 259◦33.4 24◦46.2 24◦31.8 -12◦41.0 39◦42.0 -17◦25.510 10◦32.3 321◦05.1 17◦55.8 274◦34.2 24◦46.1 39◦34.0 -12◦40.9 54◦44.4 -17◦25.511 25◦34.8 336◦04.5 17◦56.7 289◦35.0 24◦46.1 54◦36.1 -12◦40.8 69◦46.8 -17◦25.512 40◦37.2 351◦03.8 17◦57.6 304◦35.8 24◦46.0 69◦38.2 -12◦40.7 84◦49.2 -17◦25.513 55◦39.7 6◦03.2 17◦58.5 319◦36.6 24◦45.9 84◦40.3 -12◦40.6 99◦51.5 -17◦25.514 70◦42.2 21◦02.6 17◦59.4 334◦37.4 24◦45.9 99◦42.5 -12◦40.5 114◦53.9 -17◦25.515 85◦44.6 36◦01.9 18◦00.3 349◦38.2 24◦45.8 114◦44.6 -12◦40.4 129◦56.3 -17◦25.416 100◦47.1 51◦01.3 18◦01.2 4◦39.0 24◦45.7 129◦46.7 -12◦40.3 144◦58.7 -17◦25.417 115◦49.6 66◦00.6 18◦02.1 19◦39.8 24◦45.6 144◦48.9 -12◦40.1 160◦01.0 -17◦25.418 130◦52.0 81◦00.0 18◦03.0 34◦40.6 24◦45.6 159◦51.0 -12◦40.0 175◦03.4 -17◦25.419 145◦54.5 95◦59.4 18◦03.8 49◦41.4 24◦45.5 174◦53.1 -12◦39.9 190◦05.8 -17◦25.420 160◦56.9 110◦58.7 18◦04.7 64◦42.1 24◦45.4 189◦55.2 -12◦39.8 205◦08.2 -17◦25.321 175◦59.4 125◦58.1 18◦05.6 79◦42.9 24◦45.4 204◦57.4 -12◦39.7 220◦10.6 -17◦25.322 191◦01.9 140◦57.4 18◦06.5 94◦43.7 24◦45.3 219◦59.5 -12◦39.6 235◦12.9 -17◦25.323 206◦04.3 155◦56.8 18◦07.4 109◦44.5 24◦45.2 235◦01.6 -12◦39.5 250◦15.3 -17◦25.3Mer.pass.:9:17: v-0.6 d0.9 m-3.8 v0.8 d-0.1 m1.6 v2.1 d0.1 m-2.1 v2.4 d0.0 m0.7

Mon GHA GHA Dec GHA Dec GHA Dec GHA Dec0 221◦06.8 170◦56.2 18◦08.2 124◦45.3 24◦45.1 250◦03.8 -12◦39.4 265◦17.7 -17◦25.31 236◦09.3 185◦55.5 18◦09.1 139◦46.1 24◦45.1 265◦05.9 -12◦39.3 280◦20.1 -17◦25.32 251◦11.7 200◦54.9 18◦10.0 154◦46.9 24◦45.0 280◦08.0 -12◦39.1 295◦22.5 -17◦25.23 266◦14.2 215◦54.2 18◦10.9 169◦47.7 24◦44.9 295◦10.2 -12◦39.0 310◦24.8 -17◦25.24 281◦16.7 230◦53.6 18◦11.8 184◦48.5 24◦44.9 310◦12.3 -12◦38.9 325◦27.2 -17◦25.25 296◦19.1 245◦52.9 18◦12.6 199◦49.3 24◦44.8 325◦14.4 -12◦38.8 340◦29.6 -17◦25.26 311◦21.6 260◦52.3 18◦13.5 214◦50.1 24◦44.7 340◦16.6 -12◦38.7 355◦32.0 -17◦25.27 326◦24.1 275◦51.7 18◦14.4 229◦50.9 24◦44.6 355◦18.7 -12◦38.6 10◦34.4 -17◦25.18 341◦26.5 290◦51.0 18◦15.3 244◦51.7 24◦44.6 10◦20.8 -12◦38.5 25◦36.7 -17◦25.19 356◦29.0 305◦50.4 18◦16.1 259◦52.4 24◦44.5 25◦22.9 -12◦38.4 40◦39.1 -17◦25.110 11◦31.4 320◦49.7 18◦17.0 274◦53.2 24◦44.4 40◦25.1 -12◦38.3 55◦41.5 -17◦25.111 26◦33.9 335◦49.1 18◦17.9 289◦54.0 24◦44.3 55◦27.2 -12◦38.1 70◦43.9 -17◦25.112 41◦36.4 350◦48.4 18◦18.8 304◦54.8 24◦44.3 70◦29.3 -12◦38.0 85◦46.3 -17◦25.113 56◦38.8 5◦47.8 18◦19.6 319◦55.6 24◦44.2 85◦31.5 -12◦37.9 100◦48.6 -17◦25.014 71◦41.3 20◦47.1 18◦20.5 334◦56.4 24◦44.1 100◦33.6 -12◦37.8 115◦51.0 -17◦25.015 86◦43.8 35◦46.5 18◦21.4 349◦57.2 24◦44.0 115◦35.7 -12◦37.7 130◦53.4 -17◦25.016 101◦46.2 50◦45.8 18◦22.2 4◦58.0 24◦43.9 130◦37.9 -12◦37.6 145◦55.8 -17◦25.017 116◦48.7 65◦45.2 18◦23.1 19◦58.8 24◦43.9 145◦40.0 -12◦37.5 160◦58.2 -17◦25.018 131◦51.2 80◦44.5 18◦24.0 34◦59.6 24◦43.8 160◦42.1 -12◦37.4 176◦00.6 -17◦25.019 146◦53.6 95◦43.9 18◦24.8 50◦00.4 24◦43.7 175◦44.3 -12◦37.3 191◦02.9 -17◦24.920 161◦56.1 110◦43.2 18◦25.7 65◦01.2 24◦43.6 190◦46.4 -12◦37.2 206◦05.3 -17◦24.921 176◦58.5 125◦42.6 18◦26.5 80◦01.9 24◦43.6 205◦48.6 -12◦37.0 221◦07.7 -17◦24.922 192◦01.0 140◦41.9 18◦27.4 95◦02.7 24◦43.5 220◦50.7 -12◦36.9 236◦10.1 -17◦24.923 207◦03.5 155◦41.3 18◦28.3 110◦03.5 24◦43.4 235◦52.8 -12◦36.8 251◦12.5 -17◦24.9Mer.pass.:9:14: v-0.6 d0.9 m-3.8 v0.8 d-0.1 m1.6 v2.1 d0.1 m-2.1 v2.4 d0.0 m0.7

StarsSHA Dec

Alpheratz 357◦38.2 29◦12.2Ankaa 353◦10.5 -42◦11.5

Schedar 349◦34.9 56◦38.9Diphda 348◦50.5 -17◦52.3

Achernar 335◦23.1 -57◦07.8Hamal 327◦55.0 23◦33.6Polaris 315◦54.3 89◦21.2Akamar 315◦14.5 -40◦13.3Menkar 314◦09.6 4◦10.2Mirfak 308◦33.0 49◦56.1

Aldebaran 290◦43.4 16◦33.0Rigel 281◦07.0 -8◦10.8

Capella 280◦26.7 46◦01.2Bellatrix 278◦26.4 6◦22.0Elnath 278◦06.0 28◦37.5Alnilam 275◦41.1 -1◦11.5

Betelgeuse 270◦55.6 7◦24.5Canopus 263◦54.1 -52◦42.7

Sirius 258◦29.0 -16◦44.7Adara 255◦08.4 -29◦00.3

Procyon 244◦54.0 5◦10.3Pollux 243◦21.0 27◦58.5Avior 234◦16.0 -59◦34.9Suhail 222◦48.4 -43◦31.4

Miaplacidus 221◦38.7 -69◦48.5Alphard 217◦50.7 -8◦45.2Regulus 207◦37.5 11◦51.8Dubhe 193◦44.4 61◦38.4

Denebola 182◦27.7 14◦27.2Gienah 175◦46.4 -17◦39.7Acrux 173◦02.8 -63◦13.1

Gacrux 171◦54.4 -57◦14.0Alioth 166◦15.3 55◦50.8Spica 158◦25.2 -11◦16.3Alcaid 152◦54.0 49◦12.5Hadar 148◦39.6 -60◦28.5

Menkent 148◦00.8 -36◦28.5Arcturus 145◦50.2 19◦04.6

Rigil Kent. 139◦43.7 -60◦55.3Zubenelg. 136◦59.0 -16◦07.8Kochab 137◦18.7 74◦04.1

Alphecca 126◦06.0 26◦38.6Antares 112◦19.2 -26◦28.7

Atria 107◦15.7 -69◦03.7Sabik 102◦06.0 -15◦45.0

Shaula 96◦14.2 -37◦07.0Rasalhague 96◦01.1 12◦32.6

Etamin 90◦43.2 51◦28.9Kaus Aust. 83◦36.3 -34◦22.3

Vega 80◦35.1 38◦47.9Nunki 75◦51.3 -26◦16.1Altair 62◦02.9 8◦55.3

Peacock 53◦10.5 -56◦39.8Deneb 49◦27.8 45◦21.0

Enif 33◦41.8 9◦58.1Alnair 27◦36.9 -46◦51.4

Fomalhaut 15◦18.1 -29◦30.6Scheat 13◦48.3 28◦11.6Markab 13◦33.1 15◦18.9

2021/5/1 SHA Mer.passVenus 312◦17.9 12:35Mars 264◦58.8 15:43

Jupiter 29◦13.3 07:25Saturn 44◦15.1 06:25

2021/5/2 SHA Mer.passVenus 311◦03.8 12:36Mars 264◦18.6 15:41

Jupiter 29◦05.0 07:22Saturn 44◦13.0 06:22

2021/5/3 SHA Mer.passVenus 309◦49.4 12:37Mars 263◦38.5 15:40

Jupiter 28◦57.0 07:19Saturn 44◦10.9 06:18

Horizontal paralaxVenus: 0.1Mars: 0.1

82

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2021 May 01 to May. 03

h Sun MoonSat GHA Dec GHA ν Dec d HP0 180◦43.1 15◦04.7 303◦59.9 3.6 -25◦27.3 -1.7 59.71 195◦43.2 15◦05.5 318◦22.6 3.7 -25◦28.9 -1.5 59.72 210◦43.2 15◦06.2 332◦45.3 3.7 -25◦30.4 -1.4 59.73 225◦43.3 15◦07.0 347◦08.0 3.7 -25◦31.6 -1.2 59.64 240◦43.4 15◦07.7 1◦30.8 3.8 -25◦32.7 -1.0 59.65 255◦43.5 15◦08.5 15◦53.6 3.8 -25◦33.6 -0.8 59.66 270◦43.5 15◦09.2 30◦16.4 3.9 -25◦34.4 -0.6 59.57 285◦43.6 15◦10.0 44◦39.3 3.9 -25◦34.9 -0.5 59.58 300◦43.7 15◦10.7 59◦02.2 4.0 -25◦35.3 -0.3 59.59 315◦43.8 15◦11.5 73◦25.2 4.0 -25◦35.5 -0.1 59.410 330◦43.8 15◦12.2 87◦48.2 4.1 -25◦35.5 0.1 59.411 345◦43.9 15◦13.0 102◦11.3 4.1 -25◦35.4 0.2 59.312 0◦44.0 15◦13.7 116◦34.4 4.2 -25◦35.1 0.4 59.313 15◦44.1 15◦14.5 130◦57.6 4.2 -25◦34.6 0.6 59.314 30◦44.1 15◦15.3 145◦20.9 4.3 -25◦33.9 0.8 59.215 45◦44.2 15◦16.0 159◦44.2 4.3 -25◦33.0 0.9 59.216 60◦44.3 15◦16.7 174◦07.5 4.4 -25◦32.0 1.1 59.217 75◦44.3 15◦17.5 188◦31.0 4.5 -25◦30.8 1.3 59.118 90◦44.4 15◦18.2 202◦54.5 4.5 -25◦29.5 1.4 59.119 105◦44.5 15◦19.0 217◦18.0 4.6 -25◦27.9 1.6 59.020 120◦44.6 15◦19.7 231◦41.7 4.7 -25◦26.2 1.8 59.021 135◦44.6 15◦20.5 246◦05.4 4.7 -25◦24.4 1.9 59.022 150◦44.7 15◦21.2 260◦29.1 4.8 -25◦22.3 2.1 58.923 165◦44.8 15◦22.0 274◦53.0 4.9 -25◦20.2 2.3 58.9

SD.=15.9 d=0.8 S.D.=16.3

Sun GHA Dec GHA ν Dec d HP0 180◦44.8 15◦22.7 289◦16.9 5.0 -25◦17.8 2.4 58.91 195◦44.9 15◦23.5 303◦40.9 5.0 -25◦15.3 2.6 58.82 210◦45.0 15◦24.2 318◦05.0 5.1 -25◦12.6 2.8 58.83 225◦45.1 15◦25.0 332◦29.1 5.2 -25◦09.7 2.9 58.74 240◦45.1 15◦25.7 346◦53.4 5.3 -25◦06.7 3.1 58.75 255◦45.2 15◦26.5 1◦17.7 5.4 -25◦03.6 3.2 58.76 270◦45.3 15◦27.2 15◦42.1 5.4 -25◦00.2 3.4 58.67 285◦45.3 15◦27.9 30◦06.6 5.5 -24◦56.8 3.6 58.68 300◦45.4 15◦28.7 44◦31.2 5.6 -24◦53.1 3.7 58.69 315◦45.5 15◦29.4 58◦55.8 5.7 -24◦49.3 3.9 58.510 330◦45.5 15◦30.2 73◦20.6 5.8 -24◦45.4 4.0 58.511 345◦45.6 15◦30.9 87◦45.4 5.9 -24◦41.3 4.2 58.412 0◦45.7 15◦31.6 102◦10.4 6.0 -24◦37.1 4.3 58.413 15◦45.7 15◦32.4 116◦35.4 6.1 -24◦32.7 4.5 58.414 30◦45.8 15◦33.1 131◦00.5 6.2 -24◦28.1 4.6 58.315 45◦45.9 15◦33.9 145◦25.7 6.3 -24◦23.4 4.8 58.316 60◦45.9 15◦34.6 159◦51.1 6.4 -24◦18.6 4.9 58.317 75◦46.0 15◦35.3 174◦16.5 6.5 -24◦13.6 5.0 58.218 90◦46.1 15◦36.1 188◦42.0 6.6 -24◦08.5 5.2 58.219 105◦46.1 15◦36.8 203◦07.6 6.7 -24◦03.2 5.3 58.120 120◦46.2 15◦37.6 217◦33.3 6.8 -23◦57.9 5.5 58.121 135◦46.3 15◦38.3 231◦59.1 6.9 -23◦52.3 5.6 58.122 150◦46.3 15◦39.0 246◦25.0 7.0 -23◦46.6 5.7 58.023 165◦46.4 15◦39.8 260◦51.1 7.1 -23◦40.8 5.9 58.0

SD.=15.9 d=0.7 S.D.=16.1

Mon GHA Dec GHA ν Dec d HP0 180◦46.5 15◦40.5 275◦17.2 7.2 -23◦34.9 6.0 58.01 195◦46.5 15◦41.2 289◦43.4 7.3 -23◦28.8 6.1 57.92 210◦46.6 15◦42.0 304◦09.7 7.4 -23◦22.6 6.3 57.93 225◦46.7 15◦42.7 318◦36.1 7.5 -23◦16.3 6.4 57.84 240◦46.7 15◦43.4 333◦02.7 7.6 -23◦09.8 6.5 57.85 255◦46.8 15◦44.2 347◦29.3 7.7 -23◦03.2 6.7 57.86 270◦46.8 15◦44.9 1◦56.0 7.8 -22◦56.5 6.8 57.77 285◦46.9 15◦45.6 16◦22.9 7.9 -22◦49.7 6.9 57.78 300◦47.0 15◦46.4 30◦49.8 8.0 -22◦42.7 7.0 57.79 315◦47.0 15◦47.1 45◦16.9 8.1 -22◦35.6 7.1 57.610 330◦47.1 15◦47.8 59◦44.1 8.2 -22◦28.4 7.3 57.611 345◦47.2 15◦48.6 74◦11.3 8.3 -22◦21.1 7.4 57.612 0◦47.2 15◦49.3 88◦38.7 8.4 -22◦13.6 7.5 57.513 15◦47.3 15◦50.0 103◦06.2 8.5 -22◦06.1 7.6 57.514 30◦47.3 15◦50.7 117◦33.8 8.6 -21◦58.4 7.7 57.415 45◦47.4 15◦51.5 132◦01.5 8.8 -21◦50.6 7.8 57.416 60◦47.5 15◦52.2 146◦29.3 8.9 -21◦42.7 7.9 57.417 75◦47.5 15◦52.9 160◦57.2 9.0 -21◦34.7 8.1 57.318 90◦47.6 15◦53.7 175◦25.2 9.1 -21◦26.6 8.2 57.319 105◦47.6 15◦54.4 189◦53.3 9.2 -21◦18.4 8.3 57.320 120◦47.7 15◦55.1 204◦21.6 9.3 -21◦10.1 8.4 57.221 135◦47.8 15◦55.8 218◦49.9 9.4 -21◦01.7 8.5 57.222 150◦47.8 15◦56.6 233◦18.4 9.5 -20◦53.1 8.6 57.223 165◦47.9 15◦57.3 247◦46.9 9.6 -20◦44.5 8.7 57.1

SD.=15.9 d=0.7 S.D.=15.8

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 –:– –:– 01:42 22:20 –:– –:–70 –:– –:– 02:24 21:35 –:– –:–68 –:– 00:53 02:52 21:05 23:16 –:–66 –:– 01:48 03:13 20:44 22:12 –:–64 –:– 02:20 03:30 20:27 21:38 –:–62 00:46 02:43 03:43 20:13 21:14 23:2060 01:36 03:01 03:55 20:01 20:55 22:2358 02:05 03:16 04:05 19:51 20:40 21:5256 02:27 03:29 04:14 19:42 20:27 21:3054 02:44 03:40 04:21 19:34 20:16 21:1252 02:58 03:49 04:28 19:27 20:06 20:5750 03:11 03:58 04:34 19:20 19:57 20:4545 03:35 04:15 04:48 19:07 19:40 20:2040 03:54 04:29 04:59 18:56 19:25 20:0135 04:08 04:41 05:08 18:46 19:14 19:4630 04:21 04:51 05:16 18:38 19:04 19:3420 04:40 05:07 05:30 18:24 18:47 19:1410 04:55 05:20 05:42 18:12 18:34 18:590 05:07 05:32 05:54 18:00 18:22 18:47-10 05:18 05:43 06:05 17:49 18:11 18:36-20 05:27 05:54 06:16 17:37 18:00 18:26-30 05:36 06:05 06:30 17:24 17:49 18:17-35 05:41 06:11 06:37 17:16 17:42 18:13-40 05:46 06:18 06:46 17:07 17:36 18:08-45 05:50 06:25 06:56 16:57 17:28 18:03-50 05:56 06:34 07:08 16:45 17:19 17:58-52 05:58 06:38 07:14 16:39 17:15 17:55-54 06:00 06:42 07:20 16:33 17:11 17:53-56 06:03 06:47 07:27 16:26 17:06 17:51-58 06:05 06:52 07:35 16:18 17:01 17:48-60 06:08 06:58 07:44 16:09 16:55 17:45

Moonrise MoonsetLat. Sat Sun Mon Sat Sun Mon72 –:– –:– –:– –:– –:– –:–70 –:– –:– –:– –:– –:– –:–68 –:– –:– –:– –:– –:– –:–66 –:– –:– 04:47 –:– –:– 07:0764 03:14 03:54 03:56 04:32 06:00 07:5862 02:08 03:01 03:24 05:38 06:52 08:2960 01:33 02:29 02:60 06:13 07:24 08:5258 01:08 02:05 02:41 06:39 07:48 09:1156 00:47 01:46 02:25 06:59 08:07 09:2754 00:31 01:30 02:11 07:16 08:23 09:4052 00:16 01:16 01:59 07:30 08:37 09:5250 00:04 01:03 01:48 07:43 08:49 10:0245 –:– 00:38 01:26 08:09 09:14 10:2440 –:– 00:18 01:08 08:29 09:34 10:4135 –:– 00:01 00:52 08:47 09:50 10:5530 23:46 –:– 00:39 09:01 10:04 11:0820 23:22 –:– 00:17 09:27 10:28 11:2910 23:00 23:57 –:– 09:48 10:49 11:480 22:40 23:39 –:– 10:08 11:09 12:05-10 22:20 23:20 –:– 10:29 11:28 12:22-20 21:59 23:01 –:– 10:50 11:49 12:40-30 21:34 22:38 23:41 11:15 12:12 13:01-35 21:20 22:24 23:29 11:30 12:26 13:13-40 21:03 22:09 23:16 11:47 12:42 13:27-45 20:42 21:50 23:01 12:07 13:01 13:44-50 20:17 21:27 22:42 12:33 13:25 14:04-52 20:05 21:16 22:32 12:45 13:37 14:13-54 19:51 21:03 22:22 12:59 13:49 14:24-56 19:34 20:49 22:11 13:16 14:04 14:36-58 19:15 20:32 21:57 13:36 14:22 14:50-60 18:50 20:11 21:42 14:00 14:43 15:06

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower1 02:52 02:56 11:57 03:53 16:24 19(75%)2 02:59 03:03 11:56 04:54 17:23 20(64%)3 03:06 03:09 11:56 05:51 18:19 21(54%)

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May 04, 05 ,06 (Tue., Wed., Thu.)Aries Venus Mars Jupiter Saturn

Tue GHA GHA Dec GHA Dec GHA Dec GHA Dec0 222◦05.9 170◦40.6 18◦29.1 125◦04.3 24◦43.3 250◦55.0 -12◦36.7 266◦14.8 -17◦24.91 237◦08.4 185◦39.9 18◦30.0 140◦05.1 24◦43.2 265◦57.1 -12◦36.6 281◦17.2 -17◦24.82 252◦10.9 200◦39.3 18◦30.9 155◦05.9 24◦43.2 280◦59.2 -12◦36.5 296◦19.6 -17◦24.83 267◦13.3 215◦38.6 18◦31.7 170◦06.7 24◦43.1 296◦01.4 -12◦36.4 311◦22.0 -17◦24.84 282◦15.8 230◦38.0 18◦32.6 185◦07.5 24◦43.0 311◦03.5 -12◦36.3 326◦24.4 -17◦24.85 297◦18.3 245◦37.3 18◦33.4 200◦08.3 24◦42.9 326◦05.6 -12◦36.2 341◦26.8 -17◦24.86 312◦20.7 260◦36.7 18◦34.3 215◦09.1 24◦42.8 341◦07.8 -12◦36.1 356◦29.2 -17◦24.77 327◦23.2 275◦36.0 18◦35.1 230◦09.9 24◦42.8 356◦09.9 -12◦36.0 11◦31.5 -17◦24.78 342◦25.7 290◦35.4 18◦36.0 245◦10.7 24◦42.7 11◦12.0 -12◦35.8 26◦33.9 -17◦24.79 357◦28.1 305◦34.7 18◦36.8 260◦11.5 24◦42.6 26◦14.2 -12◦35.7 41◦36.3 -17◦24.710 12◦30.6 320◦34.0 18◦37.7 275◦12.2 24◦42.5 41◦16.3 -12◦35.6 56◦38.7 -17◦24.711 27◦33.0 335◦33.4 18◦38.5 290◦13.0 24◦42.4 56◦18.5 -12◦35.5 71◦41.1 -17◦24.712 42◦35.5 350◦32.7 18◦39.4 305◦13.8 24◦42.3 71◦20.6 -12◦35.4 86◦43.5 -17◦24.713 57◦38.0 5◦32.1 18◦40.2 320◦14.6 24◦42.3 86◦22.7 -12◦35.3 101◦45.8 -17◦24.614 72◦40.4 20◦31.4 18◦41.1 335◦15.4 24◦42.2 101◦24.9 -12◦35.2 116◦48.2 -17◦24.615 87◦42.9 35◦30.7 18◦41.9 350◦16.2 24◦42.1 116◦27.0 -12◦35.1 131◦50.6 -17◦24.616 102◦45.4 50◦30.1 18◦42.8 5◦17.0 24◦42.0 131◦29.2 -12◦35.0 146◦53.0 -17◦24.617 117◦47.8 65◦29.4 18◦43.6 20◦17.8 24◦41.9 146◦31.3 -12◦34.9 161◦55.4 -17◦24.618 132◦50.3 80◦28.7 18◦44.5 35◦18.6 24◦41.8 161◦33.4 -12◦34.8 176◦57.8 -17◦24.619 147◦52.8 95◦28.1 18◦45.3 50◦19.4 24◦41.8 176◦35.6 -12◦34.7 192◦00.2 -17◦24.520 162◦55.2 110◦27.4 18◦46.2 65◦20.2 24◦41.7 191◦37.7 -12◦34.5 207◦02.6 -17◦24.521 177◦57.7 125◦26.8 18◦47.0 80◦21.0 24◦41.6 206◦39.9 -12◦34.4 222◦04.9 -17◦24.522 193◦00.2 140◦26.1 18◦47.9 95◦21.7 24◦41.5 221◦42.0 -12◦34.3 237◦07.3 -17◦24.523 208◦02.6 155◦25.4 18◦48.7 110◦22.5 24◦41.4 236◦44.1 -12◦34.2 252◦09.7 -17◦24.5Mer.pass.:9:10: v-0.7 d0.9 m-3.8 v0.8 d-0.1 m1.6 v2.1 d0.1 m-2.1 v2.4 d0.0 m0.7

Wed GHA GHA Dec GHA Dec GHA Dec GHA Dec0 223◦05.1 170◦24.8 18◦49.5 125◦23.3 24◦41.3 251◦46.3 -12◦34.1 267◦12.1 -17◦24.51 238◦07.5 185◦24.1 18◦50.4 140◦24.1 24◦41.2 266◦48.4 -12◦34.0 282◦14.5 -17◦24.42 253◦10.0 200◦23.4 18◦51.2 155◦24.9 24◦41.2 281◦50.6 -12◦33.9 297◦16.9 -17◦24.43 268◦12.5 215◦22.8 18◦52.1 170◦25.7 24◦41.1 296◦52.7 -12◦33.8 312◦19.3 -17◦24.44 283◦14.9 230◦22.1 18◦52.9 185◦26.5 24◦41.0 311◦54.8 -12◦33.7 327◦21.7 -17◦24.45 298◦17.4 245◦21.4 18◦53.7 200◦27.3 24◦40.9 326◦57.0 -12◦33.6 342◦24.0 -17◦24.46 313◦19.9 260◦20.8 18◦54.6 215◦28.1 24◦40.8 341◦59.1 -12◦33.5 357◦26.4 -17◦24.47 328◦22.3 275◦20.1 18◦55.4 230◦28.9 24◦40.7 357◦01.3 -12◦33.4 12◦28.8 -17◦24.38 343◦24.8 290◦19.4 18◦56.2 245◦29.7 24◦40.6 12◦03.4 -12◦33.3 27◦31.2 -17◦24.39 358◦27.3 305◦18.7 18◦57.1 260◦30.5 24◦40.5 27◦05.6 -12◦33.2 42◦33.6 -17◦24.310 13◦29.7 320◦18.1 18◦57.9 275◦31.3 24◦40.4 42◦07.7 -12◦33.0 57◦36.0 -17◦24.311 28◦32.2 335◦17.4 18◦58.7 290◦32.0 24◦40.4 57◦09.8 -12◦32.9 72◦38.4 -17◦24.312 43◦34.6 350◦16.7 18◦59.6 305◦32.8 24◦40.3 72◦12.0 -12◦32.8 87◦40.8 -17◦24.313 58◦37.1 5◦16.1 19◦00.4 320◦33.6 24◦40.2 87◦14.1 -12◦32.7 102◦43.2 -17◦24.314 73◦39.6 20◦15.4 19◦01.2 335◦34.4 24◦40.1 102◦16.3 -12◦32.6 117◦45.5 -17◦24.215 88◦42.0 35◦14.7 19◦02.0 350◦35.2 24◦40.0 117◦18.4 -12◦32.5 132◦47.9 -17◦24.216 103◦44.5 50◦14.0 19◦02.9 5◦36.0 24◦39.9 132◦20.6 -12◦32.4 147◦50.3 -17◦24.217 118◦47.0 65◦13.4 19◦03.7 20◦36.8 24◦39.8 147◦22.7 -12◦32.3 162◦52.7 -17◦24.218 133◦49.4 80◦12.7 19◦04.5 35◦37.6 24◦39.7 162◦24.9 -12◦32.2 177◦55.1 -17◦24.219 148◦51.9 95◦12.0 19◦05.3 50◦38.4 24◦39.6 177◦27.0 -12◦32.1 192◦57.5 -17◦24.220 163◦54.4 110◦11.3 19◦06.2 65◦39.2 24◦39.5 192◦29.1 -12◦32.0 207◦59.9 -17◦24.221 178◦56.8 125◦10.7 19◦07.0 80◦40.0 24◦39.4 207◦31.3 -12◦31.9 223◦02.3 -17◦24.122 193◦59.3 140◦10.0 19◦07.8 95◦40.8 24◦39.3 222◦33.4 -12◦31.8 238◦04.7 -17◦24.123 209◦01.8 155◦09.3 19◦08.6 110◦41.6 24◦39.3 237◦35.6 -12◦31.7 253◦07.1 -17◦24.1Mer.pass.:9:06: v-0.7 d0.8 m-3.8 v0.8 d-0.1 m1.6 v2.1 d0.1 m-2.1 v2.4 d0.0 m0.7

Thu GHA GHA Dec GHA Dec GHA Dec GHA Dec0 224◦04.2 170◦08.6 19◦09.4 125◦42.4 24◦39.2 252◦37.7 -12◦31.6 268◦09.4 -17◦24.11 239◦06.7 185◦08.0 19◦10.3 140◦43.1 24◦39.1 267◦39.9 -12◦31.5 283◦11.8 -17◦24.12 254◦09.1 200◦07.3 19◦11.1 155◦43.9 24◦39.0 282◦42.0 -12◦31.4 298◦14.2 -17◦24.13 269◦11.6 215◦06.6 19◦11.9 170◦44.7 24◦38.9 297◦44.2 -12◦31.2 313◦16.6 -17◦24.04 284◦14.1 230◦05.9 19◦12.7 185◦45.5 24◦38.8 312◦46.3 -12◦31.1 328◦19.0 -17◦24.05 299◦16.5 245◦05.2 19◦13.5 200◦46.3 24◦38.7 327◦48.5 -12◦31.0 343◦21.4 -17◦24.06 314◦19.0 260◦04.6 19◦14.3 215◦47.1 24◦38.6 342◦50.6 -12◦30.9 358◦23.8 -17◦24.07 329◦21.5 275◦03.9 19◦15.2 230◦47.9 24◦38.5 357◦52.8 -12◦30.8 13◦26.2 -17◦24.08 344◦23.9 290◦03.2 19◦16.0 245◦48.7 24◦38.4 12◦54.9 -12◦30.7 28◦28.6 -17◦24.09 359◦26.4 305◦02.5 19◦16.8 260◦49.5 24◦38.3 27◦57.1 -12◦30.6 43◦31.0 -17◦24.010 14◦28.9 320◦01.8 19◦17.6 275◦50.3 24◦38.2 42◦59.2 -12◦30.5 58◦33.4 -17◦23.911 29◦31.3 335◦01.2 19◦18.4 290◦51.1 24◦38.1 58◦01.4 -12◦30.4 73◦35.8 -17◦23.912 44◦33.8 350◦00.5 19◦19.2 305◦51.9 24◦38.0 73◦03.5 -12◦30.3 88◦38.2 -17◦23.913 59◦36.3 4◦59.8 19◦20.0 320◦52.7 24◦37.9 88◦05.7 -12◦30.2 103◦40.5 -17◦23.914 74◦38.7 19◦59.1 19◦20.8 335◦53.4 24◦37.8 103◦07.8 -12◦30.1 118◦42.9 -17◦23.915 89◦41.2 34◦58.4 19◦21.6 350◦54.2 24◦37.7 118◦10.0 -12◦30.0 133◦45.3 -17◦23.916 104◦43.6 49◦57.7 19◦22.4 5◦55.0 24◦37.6 133◦12.1 -12◦29.9 148◦47.7 -17◦23.917 119◦46.1 64◦57.0 19◦23.2 20◦55.8 24◦37.5 148◦14.3 -12◦29.8 163◦50.1 -17◦23.818 134◦48.6 79◦56.4 19◦24.0 35◦56.6 24◦37.4 163◦16.4 -12◦29.7 178◦52.5 -17◦23.819 149◦51.0 94◦55.7 19◦24.8 50◦57.4 24◦37.3 178◦18.6 -12◦29.6 193◦54.9 -17◦23.820 164◦53.5 109◦55.0 19◦25.6 65◦58.2 24◦37.2 193◦20.7 -12◦29.5 208◦57.3 -17◦23.821 179◦56.0 124◦54.3 19◦26.4 80◦59.0 24◦37.1 208◦22.9 -12◦29.4 223◦59.7 -17◦23.822 194◦58.4 139◦53.6 19◦27.2 95◦59.8 24◦37.0 223◦25.0 -12◦29.3 239◦02.1 -17◦23.823 210◦00.9 154◦52.9 19◦28.0 111◦00.6 24◦36.9 238◦27.2 -12◦29.2 254◦04.5 -17◦23.8Mer.pass.:9:02: v-0.7 d0.8 m-3.8 v0.8 d-0.1 m1.6 v2.1 d0.1 m-2.1 v2.4 d0.0 m0.7

StarsSHA Dec

Alpheratz 357◦38.1 29◦12.2Ankaa 353◦10.5 -42◦11.4

Schedar 349◦34.9 56◦38.9Diphda 348◦50.5 -17◦52.3

Achernar 335◦23.1 -57◦07.8Hamal 327◦55.0 23◦33.6Polaris 315◦54.3 89◦21.2Akamar 315◦14.5 -40◦13.3Menkar 314◦09.6 4◦10.2Mirfak 308◦33.0 49◦56.1

Aldebaran 290◦43.4 16◦33.0Rigel 281◦07.0 -8◦10.8

Capella 280◦26.8 46◦01.2Bellatrix 278◦26.4 6◦22.0Elnath 278◦06.0 28◦37.5Alnilam 275◦41.1 -1◦11.5

Betelgeuse 270◦55.6 7◦24.5Canopus 263◦54.1 -52◦42.7

Sirius 258◦29.0 -16◦44.7Adara 255◦08.4 -29◦00.3

Procyon 244◦54.0 5◦10.3Pollux 243◦21.0 27◦58.5Avior 234◦16.0 -59◦34.9Suhail 222◦48.5 -43◦31.4

Miaplacidus 221◦38.7 -69◦48.5Alphard 217◦50.7 -8◦45.2Regulus 207◦37.5 11◦51.8Dubhe 193◦44.4 61◦38.5

Denebola 182◦27.7 14◦27.3Gienah 175◦46.4 -17◦39.7Acrux 173◦02.8 -63◦13.1

Gacrux 171◦54.4 -57◦14.1Alioth 166◦15.3 55◦50.8Spica 158◦25.2 -11◦16.3Alcaid 152◦54.0 49◦12.5Hadar 148◦39.6 -60◦28.5

Menkent 148◦00.8 -36◦28.5Arcturus 145◦50.2 19◦04.6

Rigil Kent. 139◦43.7 -60◦55.3Zubenelg. 136◦59.0 -16◦07.8Kochab 137◦18.7 74◦04.1

Alphecca 126◦06.0 26◦38.6Antares 112◦19.2 -26◦28.7

Atria 107◦15.6 -69◦03.7Sabik 102◦06.0 -15◦45.0

Shaula 96◦14.1 -37◦07.0Rasalhague 96◦01.1 12◦32.6

Etamin 90◦43.2 51◦28.9Kaus Aust. 83◦36.2 -34◦22.3

Vega 80◦35.0 38◦47.9Nunki 75◦51.3 -26◦16.1Altair 62◦02.9 8◦55.3

Peacock 53◦10.4 -56◦39.8Deneb 49◦27.8 45◦21.0

Enif 33◦41.8 9◦58.1Alnair 27◦36.9 -46◦51.3

Fomalhaut 15◦18.1 -29◦30.6Scheat 13◦48.3 28◦11.6Markab 13◦33.1 15◦18.9

2021/5/4 SHA Mer.passVenus 308◦34.7 12:38Mars 262◦58.4 15:39

Jupiter 28◦49.0 07:15Saturn 44◦08.9 06:14

2021/5/5 SHA Mer.passVenus 307◦19.7 12:39Mars 262◦18.3 15:38

Jupiter 28◦41.2 07:12Saturn 44◦07.0 06:10

2021/5/6 SHA Mer.passVenus 306◦04.4 12:40Mars 261◦38.1 15:36

Jupiter 28◦33.5 07:08Saturn 44◦05.2 06:06

Horizontal paralaxVenus: 0.1Mars: 0.1

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2021 May 04 to May. 06

h Sun MoonTue GHA Dec GHA ν Dec d HP0 180◦47.9 15◦58.0 262◦15.6 9.7 -20◦35.8 8.8 57.11 195◦48.0 15◦58.7 276◦44.3 9.8 -20◦26.9 8.9 57.12 210◦48.1 15◦59.5 291◦13.2 9.9 -20◦18.0 9.0 57.03 225◦48.1 16◦00.2 305◦42.2 10.0 -20◦09.0 9.1 57.04 240◦48.2 16◦00.9 320◦11.3 10.1 -19◦59.9 9.2 57.05 255◦48.2 16◦01.6 334◦40.4 10.2 -19◦50.7 9.3 56.96 270◦48.3 16◦02.3 349◦09.7 10.3 -19◦41.3 9.3 56.97 285◦48.3 16◦03.1 3◦39.1 10.4 -19◦32.0 9.4 56.98 300◦48.4 16◦03.8 18◦08.6 10.5 -19◦22.5 9.5 56.89 315◦48.5 16◦04.5 32◦38.2 10.6 -19◦12.9 9.6 56.810 330◦48.5 16◦05.2 47◦07.9 10.7 -19◦03.2 9.7 56.811 345◦48.6 16◦05.9 61◦37.7 10.8 -18◦53.5 9.8 56.712 0◦48.6 16◦06.7 76◦07.6 10.9 -18◦43.7 9.9 56.713 15◦48.7 16◦07.4 90◦37.6 11.0 -18◦33.8 9.9 56.714 30◦48.7 16◦08.1 105◦07.7 11.1 -18◦23.8 10.0 56.615 45◦48.8 16◦08.8 119◦37.9 11.2 -18◦13.7 10.1 56.616 60◦48.8 16◦09.5 134◦08.1 11.3 -18◦03.6 10.2 56.617 75◦48.9 16◦10.2 148◦38.5 11.4 -17◦53.3 10.3 56.518 90◦49.0 16◦11.0 163◦09.0 11.5 -17◦43.0 10.3 56.519 105◦49.0 16◦11.7 177◦39.6 11.6 -17◦32.7 10.4 56.520 120◦49.1 16◦12.4 192◦10.3 11.7 -17◦22.2 10.5 56.421 135◦49.1 16◦13.1 206◦41.1 11.8 -17◦11.7 10.6 56.422 150◦49.2 16◦13.8 221◦11.9 11.9 -17◦01.1 10.6 56.423 165◦49.2 16◦14.5 235◦42.9 12.0 -16◦50.4 10.7 56.3

SD.=15.9 d=0.7 S.D.=15.6

Wed GHA Dec GHA ν Dec d HP0 180◦49.3 16◦15.3 250◦13.9 12.1 -16◦39.7 10.8 56.31 195◦49.3 16◦16.0 264◦45.1 12.2 -16◦28.9 10.8 56.32 210◦49.4 16◦16.7 279◦16.3 12.3 -16◦18.0 10.9 56.33 225◦49.4 16◦17.4 293◦47.6 12.4 -16◦07.1 11.0 56.24 240◦49.5 16◦18.1 308◦19.0 12.5 -15◦56.1 11.0 56.25 255◦49.5 16◦18.8 322◦50.5 12.5 -15◦45.1 11.1 56.26 270◦49.6 16◦19.5 337◦22.1 12.6 -15◦34.0 11.1 56.17 285◦49.6 16◦20.2 351◦53.8 12.7 -15◦22.8 11.2 56.18 300◦49.7 16◦20.9 6◦25.6 12.8 -15◦11.5 11.3 56.19 315◦49.7 16◦21.7 20◦57.4 12.9 -15◦00.2 11.3 56.010 330◦49.8 16◦22.4 35◦29.3 13.0 -14◦48.9 11.4 56.011 345◦49.8 16◦23.1 50◦01.4 13.1 -14◦37.5 11.4 56.012 0◦49.9 16◦23.8 64◦33.4 13.1 -14◦26.0 11.5 56.013 15◦49.9 16◦24.5 79◦05.6 13.2 -14◦14.5 11.5 55.914 30◦50.0 16◦25.2 93◦37.9 13.3 -14◦02.9 11.6 55.915 45◦50.0 16◦25.9 108◦10.2 13.4 -13◦51.3 11.6 55.916 60◦50.1 16◦26.6 122◦42.6 13.5 -13◦39.6 11.7 55.917 75◦50.1 16◦27.3 137◦15.1 13.5 -13◦27.9 11.7 55.818 90◦50.2 16◦28.0 151◦47.7 13.6 -13◦16.1 11.8 55.819 105◦50.2 16◦28.7 166◦20.3 13.7 -13◦04.3 11.8 55.820 120◦50.3 16◦29.4 180◦53.0 13.8 -12◦52.5 11.9 55.721 135◦50.3 16◦30.1 195◦25.8 13.8 -12◦40.6 11.9 55.722 150◦50.4 16◦30.8 209◦58.7 13.9 -12◦28.6 12.0 55.723 165◦50.4 16◦31.5 224◦31.6 14.0 -12◦16.6 12.0 55.7

SD.=15.9 d=0.7 S.D.=15.4

Thu GHA Dec GHA ν Dec d HP0 180◦50.5 16◦32.2 239◦04.6 14.0 -12◦04.6 12.1 55.61 195◦50.5 16◦32.9 253◦37.7 14.1 -11◦52.5 12.1 55.62 210◦50.6 16◦33.6 268◦10.8 14.2 -11◦40.4 12.1 55.63 225◦50.6 16◦34.3 282◦44.0 14.2 -11◦28.2 12.2 55.64 240◦50.7 16◦35.0 297◦17.3 14.3 -11◦16.0 12.2 55.55 255◦50.7 16◦35.7 311◦50.7 14.4 -11◦03.8 12.3 55.56 270◦50.7 16◦36.4 326◦24.1 14.4 -10◦51.5 12.3 55.57 285◦50.8 16◦37.1 340◦57.5 14.5 -10◦39.2 12.3 55.58 300◦50.8 16◦37.8 355◦31.1 14.6 -10◦26.9 12.4 55.49 315◦50.9 16◦38.5 10◦04.7 14.6 -10◦14.5 12.4 55.410 330◦50.9 16◦39.2 24◦38.3 14.7 -10◦02.1 12.4 55.411 345◦51.0 16◦39.9 39◦12.0 14.7 -9◦49.6 12.5 55.412 0◦51.0 16◦40.6 53◦45.8 14.8 -9◦37.2 12.5 55.313 15◦51.0 16◦41.3 68◦19.6 14.9 -9◦24.7 12.5 55.314 30◦51.1 16◦42.0 82◦53.5 14.9 -9◦12.1 12.5 55.315 45◦51.1 16◦42.7 97◦27.4 15.0 -8◦59.6 12.6 55.316 60◦51.2 16◦43.4 112◦01.4 15.0 -8◦47.0 12.6 55.317 75◦51.2 16◦44.1 126◦35.5 15.1 -8◦34.4 12.6 55.218 90◦51.3 16◦44.8 141◦09.6 15.1 -8◦21.7 12.6 55.219 105◦51.3 16◦45.5 155◦43.7 15.2 -8◦09.1 12.7 55.220 120◦51.3 16◦46.2 170◦17.9 15.2 -7◦56.4 12.7 55.221 135◦51.4 16◦46.9 184◦52.2 15.3 -7◦43.7 12.7 55.122 150◦51.4 16◦47.6 199◦26.5 15.3 -7◦31.0 12.7 55.123 165◦51.5 16◦48.2 214◦00.8 15.4 -7◦18.2 12.8 55.1

SD.=15.9 d=0.7 S.D.=15.2

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 –:– –:– 01:12 22:53 –:– –:–70 –:– –:– 02:05 21:53 –:– –:–68 –:– –:– 02:38 21:19 –:– –:–66 –:– 01:27 03:01 20:55 22:33 –:–64 –:– 02:05 03:19 20:36 21:52 –:–62 –:– 02:31 03:34 20:21 21:25 –:–60 01:17 02:51 03:47 20:08 21:05 22:4258 01:52 03:07 03:58 19:57 20:48 22:0556 02:16 03:21 04:07 19:48 20:34 21:4054 02:35 03:33 04:15 19:39 20:22 21:2052 02:51 03:43 04:23 19:32 20:12 21:0550 03:04 03:52 04:29 19:25 20:03 20:5145 03:30 04:11 04:44 19:11 19:44 20:2540 03:49 04:25 04:55 18:59 19:29 20:0535 04:05 04:38 05:05 18:49 19:16 19:4930 04:18 04:48 05:14 18:40 19:06 19:3620 04:38 05:05 05:29 18:25 18:48 19:1610 04:54 05:19 05:41 18:12 18:34 18:600 05:07 05:32 05:53 18:00 18:22 18:47-10 05:18 05:43 06:05 17:48 18:10 18:35-20 05:28 05:55 06:17 17:36 17:59 18:25-30 05:38 06:07 06:32 17:21 17:46 18:15-35 05:43 06:13 06:40 17:13 17:40 18:10-40 05:48 06:21 06:49 17:04 17:32 18:05-45 05:54 06:29 06:60 16:53 17:24 17:59-50 05:59 06:38 07:13 16:40 17:15 17:53-52 06:02 06:42 07:19 16:34 17:10 17:51-54 06:05 06:47 07:26 16:27 17:06 17:48-56 06:07 06:52 07:33 16:20 17:00 17:45-58 06:10 06:58 07:41 16:11 16:55 17:42-60 06:14 07:04 07:51 16:02 16:48 17:39

Moonrise MoonsetLat. Tue Wed Thu Tue Wed Thu72 –:– 05:31 04:43 –:– 09:57 12:1970 06:09 04:54 04:25 07:37 10:32 12:3568 04:58 04:28 04:10 08:47 10:57 12:4866 04:21 04:08 03:58 09:23 11:16 12:5864 03:54 03:51 03:48 09:49 11:31 13:0762 03:33 03:38 03:40 10:09 11:44 13:1460 03:17 03:26 03:32 10:25 11:55 13:2058 03:02 03:16 03:26 10:38 12:04 13:2656 02:50 03:07 03:20 10:50 12:12 13:3154 02:39 02:59 03:15 11:00 12:19 13:3552 02:30 02:52 03:10 11:09 12:25 13:3950 02:21 02:46 03:06 11:17 12:31 13:4245 02:03 02:32 02:56 11:34 12:43 13:5040 01:48 02:21 02:49 11:48 12:54 13:5635 01:35 02:11 02:42 11:60 13:02 14:0230 01:24 02:02 02:36 12:10 13:10 14:0720 01:05 01:48 02:26 12:28 13:23 14:1510 00:48 01:34 02:17 12:43 13:34 14:220 00:33 01:22 02:08 12:57 13:45 14:29-10 00:17 01:10 01:59 13:11 13:55 14:35-20 00:00 00:57 01:50 13:26 14:06 14:43-30 –:– 00:41 01:40 13:43 14:19 14:50-35 –:– 00:33 01:33 13:53 14:26 14:55-40 –:– 00:23 01:27 14:04 14:34 15:00-45 –:– 00:11 01:18 14:17 14:44 15:06-50 23:56 –:– 01:09 14:33 14:55 15:13-52 23:49 –:– 01:04 14:40 15:00 15:16-54 23:42 –:– 00:59 14:48 15:06 15:20-56 23:33 –:– 00:53 14:57 15:12 15:24-58 23:24 –:– 00:47 15:08 15:20 15:28-60 23:13 –:– 00:40 15:20 15:28 15:33

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower4 03:12 03:14 11:56 06:44 19:09 22(43%)5 03:17 03:20 11:56 07:33 19:56 23(33%)6 03:22 03:24 11:56 08:18 20:39 24(24%)

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May 07, 08 ,09 (Fri., Sat., Sun.)Aries Venus Mars Jupiter Saturn

Fri GHA GHA Dec GHA Dec GHA Dec GHA Dec0 225◦03.4 169◦52.2 19◦28.8 126◦01.4 24◦36.8 253◦29.3 -12◦29.1 269◦06.9 -17◦23.81 240◦05.8 184◦51.5 19◦29.6 141◦02.2 24◦36.7 268◦31.5 -12◦29.0 284◦09.3 -17◦23.72 255◦08.3 199◦50.9 19◦30.4 156◦03.0 24◦36.6 283◦33.6 -12◦28.8 299◦11.7 -17◦23.73 270◦10.7 214◦50.2 19◦31.2 171◦03.8 24◦36.5 298◦35.8 -12◦28.7 314◦14.1 -17◦23.74 285◦13.2 229◦49.5 19◦32.0 186◦04.5 24◦36.4 313◦37.9 -12◦28.6 329◦16.5 -17◦23.75 300◦15.7 244◦48.8 19◦32.8 201◦05.3 24◦36.3 328◦40.1 -12◦28.5 344◦18.9 -17◦23.76 315◦18.1 259◦48.1 19◦33.6 216◦06.1 24◦36.2 343◦42.2 -12◦28.4 359◦21.3 -17◦23.77 330◦20.6 274◦47.4 19◦34.4 231◦06.9 24◦36.1 358◦44.4 -12◦28.3 14◦23.7 -17◦23.78 345◦23.1 289◦46.7 19◦35.2 246◦07.7 24◦36.0 13◦46.6 -12◦28.2 29◦26.1 -17◦23.69 0◦25.5 304◦46.0 19◦36.0 261◦08.5 24◦35.9 28◦48.7 -12◦28.1 44◦28.5 -17◦23.610 15◦28.0 319◦45.3 19◦36.8 276◦09.3 24◦35.8 43◦50.9 -12◦28.0 59◦30.9 -17◦23.611 30◦30.5 334◦44.6 19◦37.6 291◦10.1 24◦35.7 58◦53.0 -12◦27.9 74◦33.2 -17◦23.612 45◦32.9 349◦43.9 19◦38.3 306◦10.9 24◦35.6 73◦55.2 -12◦27.8 89◦35.6 -17◦23.613 60◦35.4 4◦43.2 19◦39.1 321◦11.7 24◦35.5 88◦57.3 -12◦27.7 104◦38.0 -17◦23.614 75◦37.9 19◦42.5 19◦39.9 336◦12.5 24◦35.4 103◦59.5 -12◦27.6 119◦40.4 -17◦23.615 90◦40.3 34◦41.8 19◦40.7 351◦13.3 24◦35.3 119◦01.6 -12◦27.5 134◦42.8 -17◦23.616 105◦42.8 49◦41.1 19◦41.5 6◦14.1 24◦35.2 134◦03.8 -12◦27.4 149◦45.2 -17◦23.517 120◦45.2 64◦40.4 19◦42.3 21◦14.9 24◦35.1 149◦06.0 -12◦27.3 164◦47.6 -17◦23.518 135◦47.7 79◦39.7 19◦43.0 36◦15.6 24◦35.0 164◦08.1 -12◦27.2 179◦50.0 -17◦23.519 150◦50.2 94◦39.0 19◦43.8 51◦16.4 24◦34.8 179◦10.3 -12◦27.1 194◦52.4 -17◦23.520 165◦52.6 109◦38.4 19◦44.6 66◦17.2 24◦34.7 194◦12.4 -12◦27.0 209◦54.8 -17◦23.521 180◦55.1 124◦37.7 19◦45.4 81◦18.0 24◦34.6 209◦14.6 -12◦26.9 224◦57.2 -17◦23.522 195◦57.6 139◦37.0 19◦46.2 96◦18.8 24◦34.5 224◦16.7 -12◦26.8 239◦59.6 -17◦23.523 211◦00.0 154◦36.3 19◦46.9 111◦19.6 24◦34.4 239◦18.9 -12◦26.7 255◦02.0 -17◦23.5Mer.pass.:8:58: v-0.7 d0.8 m-3.8 v0.8 d-0.1 m1.6 v2.2 d0.1 m-2.1 v2.4 d0.0 m0.7

Sat GHA GHA Dec GHA Dec GHA Dec GHA Dec0 226◦02.5 169◦35.6 19◦47.7 126◦20.4 24◦34.3 254◦21.1 -12◦26.6 270◦04.4 -17◦23.41 241◦05.0 184◦34.8 19◦48.5 141◦21.2 24◦34.2 269◦23.2 -12◦26.5 285◦06.8 -17◦23.42 256◦07.4 199◦34.1 19◦49.3 156◦22.0 24◦34.1 284◦25.4 -12◦26.4 300◦09.2 -17◦23.43 271◦09.9 214◦33.4 19◦50.0 171◦22.8 24◦34.0 299◦27.5 -12◦26.3 315◦11.6 -17◦23.44 286◦12.3 229◦32.7 19◦50.8 186◦23.6 24◦33.9 314◦29.7 -12◦26.2 330◦14.0 -17◦23.45 301◦14.8 244◦32.0 19◦51.6 201◦24.4 24◦33.8 329◦31.8 -12◦26.1 345◦16.4 -17◦23.46 316◦17.3 259◦31.3 19◦52.3 216◦25.2 24◦33.7 344◦34.0 -12◦26.0 0◦18.8 -17◦23.47 331◦19.7 274◦30.6 19◦53.1 231◦26.0 24◦33.5 359◦36.2 -12◦25.9 15◦21.2 -17◦23.48 346◦22.2 289◦29.9 19◦53.9 246◦26.8 24◦33.4 14◦38.3 -12◦25.8 30◦23.6 -17◦23.39 1◦24.7 304◦29.2 19◦54.7 261◦27.5 24◦33.3 29◦40.5 -12◦25.7 45◦26.0 -17◦23.310 16◦27.1 319◦28.5 19◦55.4 276◦28.3 24◦33.2 44◦42.6 -12◦25.6 60◦28.4 -17◦23.311 31◦29.6 334◦27.8 19◦56.2 291◦29.1 24◦33.1 59◦44.8 -12◦25.5 75◦30.8 -17◦23.312 46◦32.1 349◦27.1 19◦57.0 306◦29.9 24◦33.0 74◦47.0 -12◦25.4 90◦33.2 -17◦23.313 61◦34.5 4◦26.4 19◦57.7 321◦30.7 24◦32.9 89◦49.1 -12◦25.3 105◦35.6 -17◦23.314 76◦37.0 19◦25.7 19◦58.5 336◦31.5 24◦32.8 104◦51.3 -12◦25.2 120◦38.0 -17◦23.315 91◦39.5 34◦25.0 19◦59.2 351◦32.3 24◦32.7 119◦53.5 -12◦25.1 135◦40.4 -17◦23.316 106◦41.9 49◦24.3 20◦00.0 6◦33.1 24◦32.5 134◦55.6 -12◦25.0 150◦42.8 -17◦23.317 121◦44.4 64◦23.6 20◦00.8 21◦33.9 24◦32.4 149◦57.8 -12◦24.9 165◦45.2 -17◦23.218 136◦46.8 79◦22.9 20◦01.5 36◦34.7 24◦32.3 164◦59.9 -12◦24.8 180◦47.6 -17◦23.219 151◦49.3 94◦22.1 20◦02.3 51◦35.5 24◦32.2 180◦02.1 -12◦24.7 195◦50.0 -17◦23.220 166◦51.8 109◦21.4 20◦03.0 66◦36.3 24◦32.1 195◦04.3 -12◦24.6 210◦52.5 -17◦23.221 181◦54.2 124◦20.7 20◦03.8 81◦37.1 24◦32.0 210◦06.4 -12◦24.5 225◦54.9 -17◦23.222 196◦56.7 139◦20.0 20◦04.5 96◦37.9 24◦31.9 225◦08.6 -12◦24.4 240◦57.3 -17◦23.223 211◦59.2 154◦19.3 20◦05.3 111◦38.7 24◦31.7 240◦10.8 -12◦24.3 255◦59.7 -17◦23.2Mer.pass.:8:54: v-0.7 d0.8 m-3.8 v0.8 d-0.1 m1.6 v2.2 d0.1 m-2.1 v2.4 d0.0 m0.7

Sun GHA GHA Dec GHA Dec GHA Dec GHA Dec0 227◦01.6 169◦18.6 20◦06.1 126◦39.5 24◦31.6 255◦12.9 -12◦24.2 271◦02.1 -17◦23.21 242◦04.1 184◦17.9 20◦06.8 141◦40.2 24◦31.5 270◦15.1 -12◦24.1 286◦04.5 -17◦23.12 257◦06.6 199◦17.2 20◦07.6 156◦41.0 24◦31.4 285◦17.3 -12◦24.0 301◦06.9 -17◦23.13 272◦09.0 214◦16.5 20◦08.3 171◦41.8 24◦31.3 300◦19.4 -12◦23.9 316◦09.3 -17◦23.14 287◦11.5 229◦15.7 20◦09.1 186◦42.6 24◦31.2 315◦21.6 -12◦23.8 331◦11.7 -17◦23.15 302◦14.0 244◦15.0 20◦09.8 201◦43.4 24◦31.1 330◦23.7 -12◦23.7 346◦14.1 -17◦23.16 317◦16.4 259◦14.3 20◦10.6 216◦44.2 24◦30.9 345◦25.9 -12◦23.6 1◦16.5 -17◦23.17 332◦18.9 274◦13.6 20◦11.3 231◦45.0 24◦30.8 0◦28.1 -12◦23.5 16◦18.9 -17◦23.18 347◦21.3 289◦12.9 20◦12.1 246◦45.8 24◦30.7 15◦30.2 -12◦23.4 31◦21.3 -17◦23.19 2◦23.8 304◦12.2 20◦12.8 261◦46.6 24◦30.6 30◦32.4 -12◦23.3 46◦23.7 -17◦23.110 17◦26.3 319◦11.4 20◦13.5 276◦47.4 24◦30.5 45◦34.6 -12◦23.2 61◦26.1 -17◦23.011 32◦28.7 334◦10.7 20◦14.3 291◦48.2 24◦30.3 60◦36.7 -12◦23.1 76◦28.5 -17◦23.012 47◦31.2 349◦10.0 20◦15.0 306◦49.0 24◦30.2 75◦38.9 -12◦23.0 91◦30.9 -17◦23.013 62◦33.7 4◦09.3 20◦15.8 321◦49.8 24◦30.1 90◦41.1 -12◦22.9 106◦33.3 -17◦23.014 77◦36.1 19◦08.6 20◦16.5 336◦50.6 24◦30.0 105◦43.2 -12◦22.8 121◦35.7 -17◦23.015 92◦38.6 34◦07.9 20◦17.2 351◦51.4 24◦29.9 120◦45.4 -12◦22.7 136◦38.1 -17◦23.016 107◦41.1 49◦07.1 20◦18.0 6◦52.2 24◦29.7 135◦47.6 -12◦22.6 151◦40.5 -17◦23.017 122◦43.5 64◦06.4 20◦18.7 21◦53.0 24◦29.6 150◦49.7 -12◦22.5 166◦42.9 -17◦23.018 137◦46.0 79◦05.7 20◦19.5 36◦53.7 24◦29.5 165◦51.9 -12◦22.4 181◦45.4 -17◦23.019 152◦48.4 94◦05.0 20◦20.2 51◦54.5 24◦29.4 180◦54.1 -12◦22.3 196◦47.8 -17◦23.020 167◦50.9 109◦04.2 20◦20.9 66◦55.3 24◦29.3 195◦56.3 -12◦22.2 211◦50.2 -17◦22.921 182◦53.4 124◦03.5 20◦21.7 81◦56.1 24◦29.1 210◦58.4 -12◦22.1 226◦52.6 -17◦22.922 197◦55.8 139◦02.8 20◦22.4 96◦56.9 24◦29.0 226◦00.6 -12◦22.0 241◦55.0 -17◦22.923 212◦58.3 154◦02.1 20◦23.1 111◦57.7 24◦28.9 241◦02.8 -12◦21.9 256◦57.4 -17◦22.9Mer.pass.:8:50: v-0.7 d0.8 m-3.8 v0.8 d-0.1 m1.6 v2.2 d0.1 m-2.1 v2.4 d0.0 m0.7

StarsSHA Dec

Alpheratz 357◦38.1 29◦12.2Ankaa 353◦10.5 -42◦11.4

Schedar 349◦34.9 56◦38.9Diphda 348◦50.5 -17◦52.3

Achernar 335◦23.1 -57◦07.8Hamal 327◦55.0 23◦33.6Polaris 315◦54.3 89◦21.1Akamar 315◦14.5 -40◦13.3Menkar 314◦09.6 4◦10.2Mirfak 308◦33.0 49◦56.0

Aldebaran 290◦43.4 16◦33.0Rigel 281◦07.1 -8◦10.8

Capella 280◦26.8 46◦01.2Bellatrix 278◦26.4 6◦22.0Elnath 278◦06.0 28◦37.5Alnilam 275◦41.1 -1◦11.5

Betelgeuse 270◦55.6 7◦24.5Canopus 263◦54.1 -52◦42.7

Sirius 258◦29.0 -16◦44.7Adara 255◦08.4 -29◦00.3

Procyon 244◦54.0 5◦10.3Pollux 243◦21.0 27◦58.5Avior 234◦16.1 -59◦34.9Suhail 222◦48.5 -43◦31.4

Miaplacidus 221◦38.8 -69◦48.5Alphard 217◦50.7 -8◦45.1Regulus 207◦37.5 11◦51.8Dubhe 193◦44.5 61◦38.5

Denebola 182◦27.8 14◦27.3Gienah 175◦46.4 -17◦39.7Acrux 173◦02.8 -63◦13.2

Gacrux 171◦54.5 -57◦14.1Alioth 166◦15.3 55◦50.9Spica 158◦25.2 -11◦16.3Alcaid 152◦54.0 49◦12.5Hadar 148◦39.6 -60◦28.6

Menkent 148◦00.8 -36◦28.5Arcturus 145◦50.2 19◦04.6

Rigil Kent. 139◦43.7 -60◦55.4Zubenelg. 136◦59.0 -16◦07.8Kochab 137◦18.7 74◦04.2

Alphecca 126◦06.0 26◦38.6Antares 112◦19.2 -26◦28.7

Atria 107◦15.6 -69◦03.7Sabik 102◦05.9 -15◦45.0

Shaula 96◦14.1 -37◦07.0Rasalhague 96◦01.1 12◦32.6

Etamin 90◦43.2 51◦29.0Kaus Aust. 83◦36.2 -34◦22.3

Vega 80◦35.0 38◦47.9Nunki 75◦51.3 -26◦16.1Altair 62◦02.8 8◦55.3

Peacock 53◦10.4 -56◦39.8Deneb 49◦27.7 45◦21.0

Enif 33◦41.8 9◦58.2Alnair 27◦36.9 -46◦51.3

Fomalhaut 15◦18.1 -29◦30.6Scheat 13◦48.3 28◦11.6Markab 13◦33.1 15◦18.9

2021/5/7 SHA Mer.passVenus 304◦48.9 12:41Mars 260◦58.0 15:35

Jupiter 28◦26.0 07:05Saturn 44◦03.5 06:03

2021/5/8 SHA Mer.passVenus 303◦33.1 12:42Mars 260◦17.9 15:34

Jupiter 28◦18.6 07:02Saturn 44◦01.9 05:59

2021/5/9 SHA Mer.passVenus 302◦17.0 12:43Mars 259◦37.8 15:33

Jupiter 28◦11.3 06:58Saturn 44◦00.4 05:55

Horizontal paralaxVenus: 0.1Mars: 0.1

86

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2021 May 07 to May. 09

h Sun MoonFri GHA Dec GHA ν Dec d HP0 180◦51.5 16◦48.9 228◦35.2 15.4 -7◦05.4 12.8 55.11 195◦51.6 16◦49.6 243◦09.6 15.5 -6◦52.6 12.8 55.12 210◦51.6 16◦50.3 257◦44.1 15.5 -6◦39.8 12.8 55.03 225◦51.6 16◦51.0 272◦18.6 15.5 -6◦27.0 12.8 55.04 240◦51.7 16◦51.7 286◦53.2 15.6 -6◦14.2 12.9 55.05 255◦51.7 16◦52.4 301◦27.8 15.6 -6◦01.3 12.9 55.06 270◦51.7 16◦53.1 316◦02.4 15.7 -5◦48.4 12.9 55.07 285◦51.8 16◦53.8 330◦37.1 15.7 -5◦35.5 12.9 54.98 300◦51.8 16◦54.4 345◦11.8 15.7 -5◦22.6 12.9 54.99 315◦51.9 16◦55.1 359◦46.6 15.8 -5◦09.7 12.9 54.910 330◦51.9 16◦55.8 14◦21.3 15.8 -4◦56.8 12.9 54.911 345◦51.9 16◦56.5 28◦56.2 15.8 -4◦43.8 12.9 54.912 0◦52.0 16◦57.2 43◦31.0 15.9 -4◦30.9 13.0 54.913 15◦52.0 16◦57.9 58◦05.9 15.9 -4◦17.9 13.0 54.814 30◦52.1 16◦58.5 72◦40.8 15.9 -4◦04.9 13.0 54.815 45◦52.1 16◦59.2 87◦15.8 16.0 -3◦52.0 13.0 54.816 60◦52.1 16◦59.9 101◦50.8 16.0 -3◦39.0 13.0 54.817 75◦52.2 17◦00.6 116◦25.8 16.0 -3◦26.0 13.0 54.818 90◦52.2 17◦01.3 131◦00.8 16.0 -3◦13.0 13.0 54.719 105◦52.2 17◦02.0 145◦35.9 16.1 -2◦60.0 13.0 54.720 120◦52.3 17◦02.6 160◦11.0 16.1 -2◦46.9 13.0 54.721 135◦52.3 17◦03.3 174◦46.1 16.1 -2◦33.9 13.0 54.722 150◦52.3 17◦04.0 189◦21.2 16.1 -2◦20.9 13.0 54.723 165◦52.4 17◦04.7 203◦56.4 16.2 -2◦07.9 13.0 54.7

SD.=15.9 d=0.7 S.D.=15.0

Sat GHA Dec GHA ν Dec d HP0 180◦52.4 17◦05.4 218◦31.5 16.2 -1◦54.9 13.0 54.61 195◦52.4 17◦06.0 233◦06.7 16.2 -1◦41.8 13.0 54.62 210◦52.5 17◦06.7 247◦42.0 16.2 -1◦28.8 13.0 54.63 225◦52.5 17◦07.4 262◦17.2 16.2 -1◦15.8 13.0 54.64 240◦52.5 17◦08.1 276◦52.4 16.3 -1◦02.8 13.0 54.65 255◦52.6 17◦08.7 291◦27.7 16.3 -0◦49.8 13.0 54.66 270◦52.6 17◦09.4 306◦03.0 16.3 -0◦36.7 13.0 54.67 285◦52.6 17◦10.1 320◦38.3 16.3 -0◦23.7 13.0 54.58 300◦52.7 17◦10.8 335◦13.6 16.3 -0◦10.7 13.0 54.59 315◦52.7 17◦11.4 349◦48.9 16.3 0◦02.3 13.0 54.510 330◦52.7 17◦12.1 4◦24.3 16.3 0◦15.3 13.0 54.511 345◦52.8 17◦12.8 18◦59.6 16.4 0◦28.3 13.0 54.512 0◦52.8 17◦13.5 33◦35.0 16.4 0◦41.3 13.0 54.513 15◦52.8 17◦14.1 48◦10.4 16.4 0◦54.3 13.0 54.514 30◦52.9 17◦14.8 62◦45.7 16.4 1◦07.2 13.0 54.415 45◦52.9 17◦15.5 77◦21.1 16.4 1◦20.2 13.0 54.416 60◦52.9 17◦16.2 91◦56.5 16.4 1◦33.1 12.9 54.417 75◦53.0 17◦16.8 106◦31.9 16.4 1◦46.1 12.9 54.418 90◦53.0 17◦17.5 121◦07.3 16.4 1◦59.0 12.9 54.419 105◦53.0 17◦18.2 135◦42.7 16.4 2◦11.9 12.9 54.420 120◦53.0 17◦18.8 150◦18.1 16.4 2◦24.8 12.9 54.421 135◦53.1 17◦19.5 164◦53.5 16.4 2◦37.7 12.9 54.422 150◦53.1 17◦20.2 179◦28.9 16.4 2◦50.6 12.9 54.323 165◦53.1 17◦20.8 194◦04.3 16.4 3◦03.5 12.9 54.3

SD.=15.8 d=0.7 S.D.=14.9

Sun GHA Dec GHA ν Dec d HP0 180◦53.2 17◦21.5 208◦39.7 16.4 3◦16.3 12.8 54.31 195◦53.2 17◦22.2 223◦15.1 16.4 3◦29.1 12.8 54.32 210◦53.2 17◦22.8 237◦50.5 16.4 3◦41.9 12.8 54.33 225◦53.2 17◦23.5 252◦25.9 16.4 3◦54.7 12.8 54.34 240◦53.3 17◦24.2 267◦01.3 16.4 4◦07.5 12.8 54.35 255◦53.3 17◦24.8 281◦36.7 16.4 4◦20.3 12.7 54.36 270◦53.3 17◦25.5 296◦12.1 16.4 4◦33.0 12.7 54.37 285◦53.4 17◦26.2 310◦47.5 16.4 4◦45.7 12.7 54.28 300◦53.4 17◦26.8 325◦22.8 16.4 4◦58.4 12.7 54.29 315◦53.4 17◦27.5 339◦58.2 16.3 5◦11.1 12.7 54.210 330◦53.4 17◦28.1 354◦33.5 16.3 5◦23.7 12.6 54.211 345◦53.5 17◦28.8 9◦08.8 16.3 5◦36.4 12.6 54.212 0◦53.5 17◦29.5 23◦44.2 16.3 5◦49.0 12.6 54.213 15◦53.5 17◦30.1 38◦19.5 16.3 6◦01.5 12.6 54.214 30◦53.5 17◦30.8 52◦54.8 16.3 6◦14.1 12.5 54.215 45◦53.6 17◦31.4 67◦30.0 16.3 6◦26.6 12.5 54.216 60◦53.6 17◦32.1 82◦05.3 16.3 6◦39.1 12.5 54.217 75◦53.6 17◦32.8 96◦40.5 16.2 6◦51.6 12.5 54.218 90◦53.6 17◦33.4 111◦15.8 16.2 7◦04.0 12.4 54.119 105◦53.7 17◦34.1 125◦51.0 16.2 7◦16.4 12.4 54.120 120◦53.7 17◦34.7 140◦26.2 16.2 7◦28.8 12.4 54.121 135◦53.7 17◦35.4 155◦01.4 16.2 7◦41.2 12.3 54.122 150◦53.7 17◦36.0 169◦36.5 16.1 7◦53.5 12.3 54.123 165◦53.8 17◦36.7 184◦11.6 16.1 8◦05.8 12.3 54.1

SD.=15.8 d=0.7 S.D.=14.8

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 –:– –:– 00:19 –:– –:– –:–70 –:– –:– 01:45 22:14 –:– –:–68 –:– –:– 02:23 21:34 –:– –:–66 –:– 01:02 02:49 21:07 23:01 –:–64 –:– 01:50 03:09 20:46 22:08 –:–62 –:– 02:19 03:26 20:29 21:37 –:–60 00:55 02:41 03:39 20:16 21:14 23:0758 01:38 02:59 03:51 20:04 20:56 22:1956 02:06 03:14 04:01 19:54 20:41 21:5054 02:26 03:26 04:09 19:45 20:28 21:2952 02:43 03:37 04:17 19:37 20:17 21:1250 02:57 03:46 04:24 19:30 20:08 20:5845 03:24 04:06 04:39 19:14 19:48 20:3040 03:45 04:22 04:52 19:02 19:32 20:0935 04:01 04:35 05:02 18:51 19:19 19:5230 04:15 04:46 05:11 18:42 19:08 19:3920 04:36 05:04 05:27 18:26 18:50 19:1710 04:53 05:18 05:40 18:13 18:35 19:010 05:06 05:31 05:53 17:60 18:22 18:47-10 05:18 05:44 06:05 17:47 18:09 18:35-20 05:29 05:56 06:19 17:34 17:57 18:24-30 05:40 06:08 06:34 17:19 17:44 18:13-35 05:45 06:15 06:42 17:10 17:37 18:07-40 05:51 06:23 06:52 17:01 17:29 18:02-45 05:57 06:32 07:03 16:49 17:20 17:56-50 06:03 06:42 07:17 16:35 17:10 17:49-52 06:06 06:47 07:24 16:29 17:06 17:46-54 06:09 06:52 07:31 16:22 17:00 17:43-56 06:12 06:57 07:39 16:14 16:55 17:40-58 06:16 07:03 07:48 16:05 16:49 17:36-60 06:19 07:10 07:58 15:54 16:42 17:33

Moonrise MoonsetLat. Fri Sat Sun Fri Sat Sun72 04:12 03:47 03:22 14:19 16:11 18:0470 04:03 03:45 03:28 14:25 16:09 17:5368 03:56 03:44 03:32 14:29 16:07 17:4466 03:50 03:43 03:36 14:33 16:06 17:3764 03:45 03:42 03:39 14:37 16:04 17:3162 03:41 03:41 03:41 14:40 16:03 17:2660 03:37 03:40 03:44 14:42 16:02 17:2258 03:33 03:40 03:46 14:45 16:02 17:1856 03:30 03:39 03:48 14:47 16:01 17:1454 03:27 03:39 03:50 14:48 16:00 17:1152 03:25 03:38 03:51 14:50 15:60 17:0950 03:23 03:38 03:53 14:51 15:59 17:0645 03:18 03:37 03:56 14:55 15:58 17:0040 03:13 03:36 03:58 14:57 15:57 16:5635 03:10 03:35 04:01 14:60 15:56 16:5230 03:06 03:35 04:03 15:02 15:55 16:4820 03:01 03:34 04:06 15:05 15:54 16:4210 02:56 03:33 04:10 15:08 15:53 16:370 02:51 03:32 04:13 15:11 15:52 16:32-10 02:46 03:31 04:16 15:14 15:51 16:27-20 02:41 03:30 04:19 15:17 15:49 16:22-30 02:35 03:29 04:23 15:20 15:48 16:16-35 02:32 03:29 04:25 15:22 15:47 16:13-40 02:28 03:28 04:27 15:24 15:46 16:09-45 02:24 03:27 04:30 15:26 15:45 16:04-50 02:19 03:27 04:34 15:29 15:44 15:59-52 02:16 03:26 04:35 15:30 15:44 15:57-54 02:13 03:26 04:37 15:32 15:43 15:54-56 02:10 03:25 04:39 15:33 15:42 15:51-58 02:07 03:25 04:41 15:35 15:42 15:48-60 02:03 03:24 04:44 15:37 15:41 15:44

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower7 03:26 03:28 11:56 09:00 21:21 25(16%)8 03:30 03:31 11:56 09:41 22:02 26(10%)9 03:33 03:34 11:56 10:22 22:42 27(5%)

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May 10, 11 ,12 (Mon., Tue., Wed.)Aries Venus Mars Jupiter Saturn

Mon GHA GHA Dec GHA Dec GHA Dec GHA Dec0 228◦00.8 169◦01.4 20◦23.9 126◦58.5 24◦28.8 256◦04.9 -12◦21.8 271◦59.8 -17◦22.91 243◦03.2 184◦00.6 20◦24.6 141◦59.3 24◦28.7 271◦07.1 -12◦21.7 287◦02.2 -17◦22.92 258◦05.7 198◦59.9 20◦25.3 157◦00.1 24◦28.5 286◦09.3 -12◦21.6 302◦04.6 -17◦22.93 273◦08.2 213◦59.2 20◦26.0 172◦00.9 24◦28.4 301◦11.4 -12◦21.5 317◦07.0 -17◦22.94 288◦10.6 228◦58.5 20◦26.8 187◦01.7 24◦28.3 316◦13.6 -12◦21.4 332◦09.4 -17◦22.95 303◦13.1 243◦57.7 20◦27.5 202◦02.5 24◦28.2 331◦15.8 -12◦21.3 347◦11.8 -17◦22.96 318◦15.6 258◦57.0 20◦28.2 217◦03.3 24◦28.0 346◦18.0 -12◦21.2 2◦14.2 -17◦22.87 333◦18.0 273◦56.3 20◦28.9 232◦04.1 24◦27.9 1◦20.1 -12◦21.1 17◦16.7 -17◦22.88 348◦20.5 288◦55.6 20◦29.7 247◦04.9 24◦27.8 16◦22.3 -12◦21.1 32◦19.1 -17◦22.89 3◦22.9 303◦54.8 20◦30.4 262◦05.7 24◦27.7 31◦24.5 -12◦21.0 47◦21.5 -17◦22.810 18◦25.4 318◦54.1 20◦31.1 277◦06.5 24◦27.5 46◦26.6 -12◦20.9 62◦23.9 -17◦22.811 33◦27.9 333◦53.4 20◦31.8 292◦07.3 24◦27.4 61◦28.8 -12◦20.8 77◦26.3 -17◦22.812 48◦30.3 348◦52.6 20◦32.6 307◦08.0 24◦27.3 76◦31.0 -12◦20.7 92◦28.7 -17◦22.813 63◦32.8 3◦51.9 20◦33.3 322◦08.8 24◦27.2 91◦33.2 -12◦20.6 107◦31.1 -17◦22.814 78◦35.3 18◦51.2 20◦34.0 337◦09.6 24◦27.0 106◦35.3 -12◦20.5 122◦33.5 -17◦22.815 93◦37.7 33◦50.4 20◦34.7 352◦10.4 24◦26.9 121◦37.5 -12◦20.4 137◦35.9 -17◦22.816 108◦40.2 48◦49.7 20◦35.4 7◦11.2 24◦26.8 136◦39.7 -12◦20.3 152◦38.3 -17◦22.717 123◦42.7 63◦49.0 20◦36.1 22◦12.0 24◦26.7 151◦41.9 -12◦20.2 167◦40.7 -17◦22.718 138◦45.1 78◦48.3 20◦36.8 37◦12.8 24◦26.5 166◦44.0 -12◦20.1 182◦43.2 -17◦22.719 153◦47.6 93◦47.5 20◦37.6 52◦13.6 24◦26.4 181◦46.2 -12◦20.0 197◦45.6 -17◦22.720 168◦50.0 108◦46.8 20◦38.3 67◦14.4 24◦26.3 196◦48.4 -12◦19.9 212◦48.0 -17◦22.721 183◦52.5 123◦46.1 20◦39.0 82◦15.2 24◦26.1 211◦50.6 -12◦19.8 227◦50.4 -17◦22.722 198◦55.0 138◦45.3 20◦39.7 97◦16.0 24◦26.0 226◦52.7 -12◦19.7 242◦52.8 -17◦22.723 213◦57.4 153◦44.6 20◦40.4 112◦16.8 24◦25.9 241◦54.9 -12◦19.6 257◦55.2 -17◦22.7Mer.pass.:8:46: v-0.7 d0.7 m-3.8 v0.8 d-0.1 m1.6 v2.2 d0.1 m-2.1 v2.4 d0.0 m0.7

Tue GHA GHA Dec GHA Dec GHA Dec GHA Dec0 228◦59.9 168◦43.9 20◦41.1 127◦17.6 24◦25.8 256◦57.1 -12◦19.5 272◦57.6 -17◦22.71 244◦02.4 183◦43.1 20◦41.8 142◦18.4 24◦25.6 271◦59.3 -12◦19.4 288◦00.0 -17◦22.72 259◦04.8 198◦42.4 20◦42.5 157◦19.2 24◦25.5 287◦01.4 -12◦19.3 303◦02.5 -17◦22.73 274◦07.3 213◦41.6 20◦43.2 172◦20.0 24◦25.4 302◦03.6 -12◦19.2 318◦04.9 -17◦22.64 289◦09.8 228◦40.9 20◦43.9 187◦20.8 24◦25.2 317◦05.8 -12◦19.1 333◦07.3 -17◦22.65 304◦12.2 243◦40.2 20◦44.6 202◦21.6 24◦25.1 332◦08.0 -12◦19.0 348◦09.7 -17◦22.66 319◦14.7 258◦39.4 20◦45.3 217◦22.4 24◦25.0 347◦10.1 -12◦18.9 3◦12.1 -17◦22.67 334◦17.2 273◦38.7 20◦46.0 232◦23.1 24◦24.8 2◦12.3 -12◦18.9 18◦14.5 -17◦22.68 349◦19.6 288◦38.0 20◦46.7 247◦23.9 24◦24.7 17◦14.5 -12◦18.8 33◦16.9 -17◦22.69 4◦22.1 303◦37.2 20◦47.4 262◦24.7 24◦24.6 32◦16.7 -12◦18.7 48◦19.3 -17◦22.610 19◦24.5 318◦36.5 20◦48.1 277◦25.5 24◦24.4 47◦18.9 -12◦18.6 63◦21.8 -17◦22.611 34◦27.0 333◦35.7 20◦48.8 292◦26.3 24◦24.3 62◦21.0 -12◦18.5 78◦24.2 -17◦22.612 49◦29.5 348◦35.0 20◦49.5 307◦27.1 24◦24.2 77◦23.2 -12◦18.4 93◦26.6 -17◦22.613 64◦31.9 3◦34.3 20◦50.2 322◦27.9 24◦24.0 92◦25.4 -12◦18.3 108◦29.0 -17◦22.614 79◦34.4 18◦33.5 20◦50.9 337◦28.7 24◦23.9 107◦27.6 -12◦18.2 123◦31.4 -17◦22.615 94◦36.9 33◦32.8 20◦51.6 352◦29.5 24◦23.8 122◦29.8 -12◦18.1 138◦33.8 -17◦22.516 109◦39.3 48◦32.0 20◦52.3 7◦30.3 24◦23.6 137◦31.9 -12◦18.0 153◦36.2 -17◦22.517 124◦41.8 63◦31.3 20◦53.0 22◦31.1 24◦23.5 152◦34.1 -12◦17.9 168◦38.6 -17◦22.518 139◦44.3 78◦30.5 20◦53.7 37◦31.9 24◦23.4 167◦36.3 -12◦17.8 183◦41.1 -17◦22.519 154◦46.7 93◦29.8 20◦54.4 52◦32.7 24◦23.2 182◦38.5 -12◦17.7 198◦43.5 -17◦22.520 169◦49.2 108◦29.1 20◦55.1 67◦33.5 24◦23.1 197◦40.7 -12◦17.6 213◦45.9 -17◦22.521 184◦51.7 123◦28.3 20◦55.7 82◦34.3 24◦23.0 212◦42.8 -12◦17.5 228◦48.3 -17◦22.522 199◦54.1 138◦27.6 20◦56.4 97◦35.1 24◦22.8 227◦45.0 -12◦17.4 243◦50.7 -17◦22.523 214◦56.6 153◦26.8 20◦57.1 112◦35.9 24◦22.7 242◦47.2 -12◦17.3 258◦53.1 -17◦22.5Mer.pass.:8:42: v-0.7 d0.7 m-3.8 v0.8 d-0.1 m1.6 v2.2 d0.1 m-2.1 v2.4 d0.0 m0.7

Wed GHA GHA Dec GHA Dec GHA Dec GHA Dec0 229◦59.0 168◦26.1 20◦57.8 127◦36.7 24◦22.6 257◦49.4 -12◦17.3 273◦55.6 -17◦22.51 245◦01.5 183◦25.3 20◦58.5 142◦37.5 24◦22.4 272◦51.6 -12◦17.2 288◦58.0 -17◦22.52 260◦04.0 198◦24.6 20◦59.2 157◦38.3 24◦22.3 287◦53.7 -12◦17.1 304◦00.4 -17◦22.53 275◦06.4 213◦23.8 20◦59.8 172◦39.1 24◦22.2 302◦55.9 -12◦17.0 319◦02.8 -17◦22.54 290◦08.9 228◦23.1 21◦00.5 187◦39.9 24◦22.0 317◦58.1 -12◦16.9 334◦05.2 -17◦22.45 305◦11.4 243◦22.3 21◦01.2 202◦40.7 24◦21.9 333◦00.3 -12◦16.8 349◦07.6 -17◦22.46 320◦13.8 258◦21.6 21◦01.9 217◦41.4 24◦21.7 348◦02.5 -12◦16.7 4◦10.1 -17◦22.47 335◦16.3 273◦20.9 21◦02.6 232◦42.2 24◦21.6 3◦04.7 -12◦16.6 19◦12.5 -17◦22.48 350◦18.8 288◦20.1 21◦03.2 247◦43.0 24◦21.5 18◦06.8 -12◦16.5 34◦14.9 -17◦22.49 5◦21.2 303◦19.4 21◦03.9 262◦43.8 24◦21.3 33◦09.0 -12◦16.4 49◦17.3 -17◦22.410 20◦23.7 318◦18.6 21◦04.6 277◦44.6 24◦21.2 48◦11.2 -12◦16.3 64◦19.7 -17◦22.411 35◦26.2 333◦17.9 21◦05.2 292◦45.4 24◦21.0 63◦13.4 -12◦16.2 79◦22.1 -17◦22.412 50◦28.6 348◦17.1 21◦05.9 307◦46.2 24◦20.9 78◦15.6 -12◦16.1 94◦24.6 -17◦22.413 65◦31.1 3◦16.3 21◦06.6 322◦47.0 24◦20.8 93◦17.8 -12◦16.1 109◦27.0 -17◦22.414 80◦33.5 18◦15.6 21◦07.3 337◦47.8 24◦20.6 108◦20.0 -12◦16.0 124◦29.4 -17◦22.415 95◦36.0 33◦14.8 21◦07.9 352◦48.6 24◦20.5 123◦22.1 -12◦15.9 139◦31.8 -17◦22.416 110◦38.5 48◦14.1 21◦08.6 7◦49.4 24◦20.3 138◦24.3 -12◦15.8 154◦34.2 -17◦22.417 125◦40.9 63◦13.3 21◦09.3 22◦50.2 24◦20.2 153◦26.5 -12◦15.7 169◦36.6 -17◦22.318 140◦43.4 78◦12.6 21◦09.9 37◦51.0 24◦20.1 168◦28.7 -12◦15.6 184◦39.1 -17◦22.319 155◦45.9 93◦11.8 21◦10.6 52◦51.8 24◦19.9 183◦30.9 -12◦15.5 199◦41.5 -17◦22.320 170◦48.3 108◦11.1 21◦11.3 67◦52.6 24◦19.8 198◦33.1 -12◦15.4 214◦43.9 -17◦22.321 185◦50.8 123◦10.3 21◦11.9 82◦53.4 24◦19.6 213◦35.3 -12◦15.3 229◦46.3 -17◦22.322 200◦53.3 138◦09.6 21◦12.6 97◦54.2 24◦19.5 228◦37.4 -12◦15.2 244◦48.7 -17◦22.323 215◦55.7 153◦08.8 21◦13.2 112◦55.0 24◦19.3 243◦39.6 -12◦15.1 259◦51.2 -17◦22.3Mer.pass.:8:38: v-0.7 d0.7 m-3.8 v0.8 d-0.1 m1.6 v2.2 d0.1 m-2.1 v2.4 d0.0 m0.7

StarsSHA Dec

Alpheratz 357◦38.1 29◦12.2Ankaa 353◦10.5 -42◦11.4

Schedar 349◦34.8 56◦38.9Diphda 348◦50.5 -17◦52.3

Achernar 335◦23.1 -57◦07.7Hamal 327◦54.9 23◦33.6Polaris 315◦54.1 89◦21.1Akamar 315◦14.5 -40◦13.3Menkar 314◦09.6 4◦10.2Mirfak 308◦33.0 49◦56.0

Aldebaran 290◦43.4 16◦33.0Rigel 281◦07.1 -8◦10.8

Capella 280◦26.8 46◦01.2Bellatrix 278◦26.4 6◦22.0Elnath 278◦06.0 28◦37.5Alnilam 275◦41.1 -1◦11.5

Betelgeuse 270◦55.6 7◦24.5Canopus 263◦54.1 -52◦42.7

Sirius 258◦29.0 -16◦44.7Adara 255◦08.4 -29◦00.3

Procyon 244◦54.0 5◦10.3Pollux 243◦21.1 27◦58.5Avior 234◦16.1 -59◦34.9Suhail 222◦48.5 -43◦31.3

Miaplacidus 221◦38.8 -69◦48.5Alphard 217◦50.7 -8◦45.1Regulus 207◦37.6 11◦51.8Dubhe 193◦44.5 61◦38.5

Denebola 182◦27.8 14◦27.3Gienah 175◦46.4 -17◦39.7Acrux 173◦02.8 -63◦13.2

Gacrux 171◦54.5 -57◦14.1Alioth 166◦15.3 55◦50.9Spica 158◦25.2 -11◦16.3Alcaid 152◦54.0 49◦12.6Hadar 148◦39.6 -60◦28.6

Menkent 148◦00.8 -36◦28.5Arcturus 145◦50.2 19◦04.6

Rigil Kent. 139◦43.7 -60◦55.4Zubenelg. 136◦59.0 -16◦07.8Kochab 137◦18.7 74◦04.2

Alphecca 126◦06.0 26◦38.6Antares 112◦19.2 -26◦28.7

Atria 107◦15.6 -69◦03.8Sabik 102◦05.9 -15◦45.0

Shaula 96◦14.1 -37◦07.0Rasalhague 96◦01.1 12◦32.6

Etamin 90◦43.2 51◦29.0Kaus Aust. 83◦36.2 -34◦22.3

Vega 80◦35.0 38◦48.0Nunki 75◦51.3 -26◦16.1Altair 62◦02.8 8◦55.3

Peacock 53◦10.4 -56◦39.8Deneb 49◦27.7 45◦21.0

Enif 33◦41.8 9◦58.2Alnair 27◦36.9 -46◦51.3

Fomalhaut 15◦18.1 -29◦30.6Scheat 13◦48.3 28◦11.6Markab 13◦33.0 15◦18.9

2021/5/1 SHA Mer.passVenus 301◦00.6 12:45Mars 258◦57.7 15:31

Jupiter 28◦04.2 06:55Saturn 43◦59.0 05:51

2021/5/1 SHA Mer.passVenus 299◦43.9 12:46Mars 258◦17.7 15:30

Jupiter 27◦57.2 06:51Saturn 43◦57.7 05:47

2021/5/1 SHA Mer.passVenus 298◦27.0 12:47Mars 257◦37.6 15:29

Jupiter 27◦50.3 06:48Saturn 43◦56.5 05:43

Horizontal paralaxVenus: 0.1Mars: 0.1

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2021 May 10 to May. 12

h Sun MoonMon GHA Dec GHA ν Dec d HP0 180◦53.8 17◦37.4 198◦46.8 16.1 8◦18.0 12.2 54.11 195◦53.8 17◦38.0 213◦21.8 16.1 8◦30.3 12.2 54.12 210◦53.8 17◦38.7 227◦56.9 16.1 8◦42.4 12.2 54.13 225◦53.8 17◦39.3 242◦31.9 16.0 8◦54.6 12.1 54.14 240◦53.9 17◦40.0 257◦07.0 16.0 9◦06.7 12.1 54.15 255◦53.9 17◦40.6 271◦42.0 16.0 9◦18.8 12.1 54.16 270◦53.9 17◦41.3 286◦16.9 16.0 9◦30.8 12.0 54.17 285◦53.9 17◦41.9 300◦51.9 15.9 9◦42.8 12.0 54.18 300◦53.9 17◦42.6 315◦26.8 15.9 9◦54.8 11.9 54.09 315◦54.0 17◦43.2 330◦01.6 15.9 10◦06.7 11.9 54.010 330◦54.0 17◦43.9 344◦36.5 15.8 10◦18.6 11.9 54.011 345◦54.0 17◦44.5 359◦11.3 15.8 10◦30.5 11.8 54.012 0◦54.0 17◦45.2 13◦46.1 15.8 10◦42.3 11.8 54.013 15◦54.0 17◦45.8 28◦20.9 15.7 10◦54.0 11.7 54.014 30◦54.1 17◦46.5 42◦55.6 15.7 11◦05.8 11.7 54.015 45◦54.1 17◦47.1 57◦30.3 15.7 11◦17.4 11.7 54.016 60◦54.1 17◦47.8 72◦04.9 15.6 11◦29.1 11.6 54.017 75◦54.1 17◦48.4 86◦39.6 15.6 11◦40.7 11.6 54.018 90◦54.1 17◦49.0 101◦14.2 15.6 11◦52.2 11.5 54.019 105◦54.2 17◦49.7 115◦48.7 15.5 12◦03.7 11.5 54.020 120◦54.2 17◦50.3 130◦23.2 15.5 12◦15.1 11.4 54.021 135◦54.2 17◦51.0 144◦57.7 15.5 12◦26.5 11.4 54.022 150◦54.2 17◦51.6 159◦32.2 15.4 12◦37.9 11.3 54.023 165◦54.2 17◦52.3 174◦06.6 15.4 12◦49.2 11.3 54.0

SD.=15.8 d=0.7 S.D.=14.8

Tue GHA Dec GHA ν Dec d HP0 180◦54.2 17◦52.9 188◦40.9 15.3 13◦00.4 11.2 54.01 195◦54.3 17◦53.5 203◦15.3 15.3 13◦11.6 11.2 54.02 210◦54.3 17◦54.2 217◦49.5 15.3 13◦22.8 11.1 54.03 225◦54.3 17◦54.8 232◦23.8 15.2 13◦33.8 11.1 54.04 240◦54.3 17◦55.5 246◦58.0 15.2 13◦44.9 11.0 54.05 255◦54.3 17◦56.1 261◦32.1 15.1 13◦55.9 11.0 54.06 270◦54.3 17◦56.7 276◦06.3 15.1 14◦06.8 10.9 54.07 285◦54.3 17◦57.4 290◦40.3 15.1 14◦17.7 10.8 54.08 300◦54.4 17◦58.0 305◦14.4 15.0 14◦28.5 10.8 54.09 315◦54.4 17◦58.7 319◦48.4 15.0 14◦39.2 10.7 54.010 330◦54.4 17◦59.3 334◦22.3 14.9 14◦49.9 10.7 53.911 345◦54.4 17◦59.9 348◦56.2 14.9 15◦00.6 10.6 53.912 0◦54.4 18◦00.6 3◦30.1 14.8 15◦11.1 10.5 53.913 15◦54.4 18◦01.2 18◦03.9 14.8 15◦21.7 10.5 53.914 30◦54.4 18◦01.8 32◦37.6 14.7 15◦32.1 10.4 53.915 45◦54.5 18◦02.5 47◦11.3 14.7 15◦42.5 10.4 53.916 60◦54.5 18◦03.1 61◦45.0 14.6 15◦52.9 10.3 53.917 75◦54.5 18◦03.7 76◦18.6 14.6 16◦03.1 10.2 53.918 90◦54.5 18◦04.4 90◦52.2 14.5 16◦13.3 10.2 53.919 105◦54.5 18◦05.0 105◦25.7 14.5 16◦23.5 10.1 53.920 120◦54.5 18◦05.6 119◦59.2 14.4 16◦33.5 10.0 53.921 135◦54.5 18◦06.3 134◦32.6 14.4 16◦43.5 10.0 53.922 150◦54.5 18◦06.9 149◦06.0 14.3 16◦53.5 9.9 53.923 165◦54.6 18◦07.5 163◦39.3 14.3 17◦03.3 9.8 53.9

SD.=15.8 d=0.6 S.D.=14.7

Wed GHA Dec GHA ν Dec d HP0 180◦54.6 18◦08.2 178◦12.5 14.2 17◦13.1 9.8 53.91 195◦54.6 18◦08.8 192◦45.8 14.2 17◦22.9 9.7 53.92 210◦54.6 18◦09.4 207◦18.9 14.1 17◦32.5 9.6 53.93 225◦54.6 18◦10.0 221◦52.0 14.1 17◦42.1 9.6 53.94 240◦54.6 18◦10.7 236◦25.1 14.0 17◦51.6 9.5 53.95 255◦54.6 18◦11.3 250◦58.1 14.0 18◦01.1 9.4 53.96 270◦54.6 18◦11.9 265◦31.0 13.9 18◦10.5 9.3 53.97 285◦54.6 18◦12.6 280◦03.9 13.9 18◦19.7 9.3 53.98 300◦54.6 18◦13.2 294◦36.8 13.8 18◦29.0 9.2 53.99 315◦54.6 18◦13.8 309◦09.6 13.8 18◦38.1 9.1 53.910 330◦54.7 18◦14.4 323◦42.3 13.7 18◦47.2 9.0 53.911 345◦54.7 18◦15.1 338◦15.0 13.7 18◦56.2 8.9 54.012 0◦54.7 18◦15.7 352◦47.6 13.6 19◦05.1 8.9 54.013 15◦54.7 18◦16.3 7◦20.2 13.5 19◦13.9 8.8 54.014 30◦54.7 18◦16.9 21◦52.7 13.5 19◦22.6 8.7 54.015 45◦54.7 18◦17.5 36◦25.2 13.4 19◦31.3 8.6 54.016 60◦54.7 18◦18.2 50◦57.6 13.4 19◦39.9 8.5 54.017 75◦54.7 18◦18.8 65◦29.9 13.3 19◦48.4 8.5 54.018 90◦54.7 18◦19.4 80◦02.2 13.3 19◦56.8 8.4 54.019 105◦54.7 18◦20.0 94◦34.5 13.2 20◦05.1 8.3 54.020 120◦54.7 18◦20.6 109◦06.6 13.2 20◦13.4 8.2 54.021 135◦54.7 18◦21.3 123◦38.8 13.1 20◦21.6 8.1 54.022 150◦54.7 18◦21.9 138◦10.8 13.0 20◦29.6 8.0 54.023 165◦54.7 18◦22.5 152◦42.9 13.0 20◦37.6 7.9 54.0

SD.=15.8 d=0.6 S.D.=14.7

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 –:– –:– –:– –:– –:– –:–70 –:– –:– 01:22 22:39 –:– –:–68 –:– –:– 02:08 21:49 –:– –:–66 –:– 00:20 02:37 21:18 –:– –:–64 –:– 01:33 02:59 20:56 22:25 –:–62 –:– 02:07 03:17 20:38 21:49 –:–60 00:17 02:32 03:32 20:23 21:24 –:–58 01:23 02:51 03:44 20:10 21:04 22:3456 01:55 03:06 03:55 19:59 20:48 22:0154 02:17 03:20 04:04 19:50 20:35 21:3852 02:36 03:31 04:12 19:42 20:23 21:1950 02:50 03:41 04:20 19:34 20:13 21:0445 03:20 04:02 04:36 19:18 19:52 20:3440 03:41 04:18 04:49 19:05 19:35 20:1235 03:58 04:32 04:60 18:54 19:21 19:5530 04:12 04:43 05:09 18:44 19:10 19:4120 04:34 05:02 05:26 18:27 18:51 19:1910 04:52 05:18 05:40 18:13 18:35 19:010 05:06 05:31 05:53 17:60 18:22 18:47-10 05:18 05:44 06:06 17:47 18:09 18:34-20 05:30 05:57 06:20 17:33 17:56 18:23-30 05:41 06:10 06:35 17:17 17:42 18:11-35 05:47 06:18 06:44 17:08 17:35 18:05-40 05:53 06:26 06:55 16:58 17:26 17:59-45 05:60 06:35 07:07 16:45 17:17 17:52-50 06:07 06:46 07:21 16:31 17:06 17:45-52 06:10 06:51 07:28 16:24 17:01 17:42-54 06:13 06:56 07:36 16:16 16:56 17:39-56 06:17 07:02 07:44 16:08 16:50 17:35-58 06:21 07:09 07:54 15:58 16:43 17:31-60 06:25 07:16 08:05 15:47 16:36 17:27

Moonrise MoonsetLat. Mon Tue Wed Mon Tue Wed72 02:56 02:21 01:14 20:05 22:43 –:–70 03:09 02:46 02:11 19:42 21:47 –:–68 03:19 03:05 02:46 19:25 21:14 23:2466 03:28 03:20 03:11 19:11 20:50 22:3764 03:36 03:33 03:30 18:60 20:31 22:0762 03:42 03:43 03:46 18:50 20:16 21:4460 03:48 03:53 03:59 18:42 20:03 21:2658 03:53 04:01 04:11 18:35 19:53 21:1156 03:57 04:08 04:21 18:28 19:43 20:5854 04:01 04:14 04:30 18:23 19:35 20:4752 04:05 04:20 04:38 18:18 19:27 20:3750 04:08 04:25 04:45 18:13 19:21 20:2845 04:15 04:37 05:01 18:03 19:06 20:1040 04:21 04:46 05:14 17:55 18:55 19:5535 04:27 04:54 05:24 17:48 18:45 19:4230 04:31 05:01 05:34 17:42 18:36 19:3120 04:39 05:14 05:51 17:31 18:21 19:1210 04:47 05:25 06:05 17:22 18:08 18:560 04:53 05:35 06:19 17:13 17:56 18:41-10 05:00 05:46 06:33 17:05 17:44 18:26-20 05:08 05:57 06:47 16:56 17:31 18:09-30 05:16 06:10 07:04 16:45 17:16 17:51-35 05:21 06:17 07:14 16:39 17:08 17:40-40 05:26 06:26 07:26 16:32 16:58 17:28-45 05:33 06:36 07:39 16:25 16:47 17:13-50 05:41 06:48 07:56 16:15 16:34 16:56-52 05:44 06:54 08:04 16:11 16:27 16:47-54 05:48 07:00 08:12 16:06 16:20 16:38-56 05:53 07:07 08:22 16:01 16:13 16:28-58 05:58 07:15 08:33 15:55 16:04 16:16-60 06:03 07:24 08:46 15:48 15:54 16:02

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower10 03:35 03:36 11:56 11:03 23:24 28(2%)11 03:37 03:38 11:56 11:45 00:07 29(0%)12 03:38 03:39 11:56 12:29 00:07 1(0%)

89

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May 13, 14 ,15 (Thu., Fri., Sat.)Aries Venus Mars Jupiter Saturn

Thu GHA GHA Dec GHA Dec GHA Dec GHA Dec0 230◦58.2 168◦08.1 21◦13.9 127◦55.8 24◦19.2 258◦41.8 -12◦15.0 274◦53.6 -17◦22.31 246◦00.6 183◦07.3 21◦14.6 142◦56.6 24◦19.1 273◦44.0 -12◦15.0 289◦56.0 -17◦22.32 261◦03.1 198◦06.5 21◦15.2 157◦57.4 24◦18.9 288◦46.2 -12◦14.9 304◦58.4 -17◦22.33 276◦05.6 213◦05.8 21◦15.9 172◦58.2 24◦18.8 303◦48.4 -12◦14.8 320◦00.8 -17◦22.34 291◦08.0 228◦05.0 21◦16.5 187◦59.0 24◦18.6 318◦50.6 -12◦14.7 335◦03.3 -17◦22.35 306◦10.5 243◦04.3 21◦17.2 202◦59.8 24◦18.5 333◦52.8 -12◦14.6 350◦05.7 -17◦22.36 321◦13.0 258◦03.5 21◦17.8 218◦00.6 24◦18.3 348◦55.0 -12◦14.5 5◦08.1 -17◦22.37 336◦15.4 273◦02.7 21◦18.5 233◦01.4 24◦18.2 3◦57.1 -12◦14.4 20◦10.5 -17◦22.38 351◦17.9 288◦02.0 21◦19.1 248◦02.2 24◦18.0 18◦59.3 -12◦14.3 35◦12.9 -17◦22.39 6◦20.4 303◦01.2 21◦19.8 263◦03.0 24◦17.9 34◦01.5 -12◦14.2 50◦15.4 -17◦22.210 21◦22.8 318◦00.5 21◦20.4 278◦03.8 24◦17.8 49◦03.7 -12◦14.1 65◦17.8 -17◦22.211 36◦25.3 332◦59.7 21◦21.1 293◦04.5 24◦17.6 64◦05.9 -12◦14.1 80◦20.2 -17◦22.212 51◦27.8 347◦58.9 21◦21.7 308◦05.3 24◦17.5 79◦08.1 -12◦14.0 95◦22.6 -17◦22.213 66◦30.2 2◦58.2 21◦22.4 323◦06.1 24◦17.3 94◦10.3 -12◦13.9 110◦25.1 -17◦22.214 81◦32.7 17◦57.4 21◦23.0 338◦06.9 24◦17.2 109◦12.5 -12◦13.8 125◦27.5 -17◦22.215 96◦35.1 32◦56.7 21◦23.7 353◦07.7 24◦17.0 124◦14.7 -12◦13.7 140◦29.9 -17◦22.216 111◦37.6 47◦55.9 21◦24.3 8◦08.5 24◦16.9 139◦16.9 -12◦13.6 155◦32.3 -17◦22.217 126◦40.1 62◦55.1 21◦25.0 23◦09.3 24◦16.7 154◦19.1 -12◦13.5 170◦34.7 -17◦22.218 141◦42.5 77◦54.4 21◦25.6 38◦10.1 24◦16.6 169◦21.2 -12◦13.4 185◦37.2 -17◦22.219 156◦45.0 92◦53.6 21◦26.2 53◦10.9 24◦16.4 184◦23.4 -12◦13.3 200◦39.6 -17◦22.220 171◦47.5 107◦52.8 21◦26.9 68◦11.7 24◦16.3 199◦25.6 -12◦13.2 215◦42.0 -17◦22.221 186◦49.9 122◦52.1 21◦27.5 83◦12.5 24◦16.1 214◦27.8 -12◦13.2 230◦44.4 -17◦22.222 201◦52.4 137◦51.3 21◦28.2 98◦13.3 24◦16.0 229◦30.0 -12◦13.1 245◦46.9 -17◦22.223 216◦54.9 152◦50.5 21◦28.8 113◦14.1 24◦15.8 244◦32.2 -12◦13.0 260◦49.3 -17◦22.2Mer.pass.:8:34: v-0.8 d0.7 m-3.8 v0.8 d-0.1 m1.6 v2.2 d0.1 m-2.1 v2.4 d0.0 m0.7

Fri GHA GHA Dec GHA Dec GHA Dec GHA Dec0 231◦57.3 167◦49.8 21◦29.4 128◦14.9 24◦15.7 259◦34.4 -12◦12.9 275◦51.7 -17◦22.21 246◦59.8 182◦49.0 21◦30.1 143◦15.7 24◦15.5 274◦36.6 -12◦12.8 290◦54.1 -17◦22.22 262◦02.3 197◦48.2 21◦30.7 158◦16.5 24◦15.4 289◦38.8 -12◦12.7 305◦56.6 -17◦22.13 277◦04.7 212◦47.5 21◦31.3 173◦17.3 24◦15.2 304◦41.0 -12◦12.6 320◦59.0 -17◦22.14 292◦07.2 227◦46.7 21◦32.0 188◦18.1 24◦15.1 319◦43.2 -12◦12.5 336◦01.4 -17◦22.15 307◦09.6 242◦45.9 21◦32.6 203◦18.9 24◦14.9 334◦45.4 -12◦12.4 351◦03.8 -17◦22.16 322◦12.1 257◦45.2 21◦33.2 218◦19.7 24◦14.8 349◦47.6 -12◦12.4 6◦06.3 -17◦22.17 337◦14.6 272◦44.4 21◦33.8 233◦20.5 24◦14.6 4◦49.8 -12◦12.3 21◦08.7 -17◦22.18 352◦17.0 287◦43.6 21◦34.5 248◦21.3 24◦14.5 19◦52.0 -12◦12.2 36◦11.1 -17◦22.19 7◦19.5 302◦42.8 21◦35.1 263◦22.1 24◦14.3 34◦54.2 -12◦12.1 51◦13.5 -17◦22.110 22◦22.0 317◦42.1 21◦35.7 278◦22.9 24◦14.2 49◦56.4 -12◦12.0 66◦16.0 -17◦22.111 37◦24.4 332◦41.3 21◦36.3 293◦23.7 24◦14.0 64◦58.6 -12◦11.9 81◦18.4 -17◦22.112 52◦26.9 347◦40.5 21◦37.0 308◦24.5 24◦13.8 80◦00.8 -12◦11.8 96◦20.8 -17◦22.113 67◦29.4 2◦39.8 21◦37.6 323◦25.3 24◦13.7 95◦03.0 -12◦11.7 111◦23.2 -17◦22.114 82◦31.8 17◦39.0 21◦38.2 338◦26.1 24◦13.5 110◦05.2 -12◦11.7 126◦25.7 -17◦22.115 97◦34.3 32◦38.2 21◦38.8 353◦26.9 24◦13.4 125◦07.4 -12◦11.6 141◦28.1 -17◦22.116 112◦36.8 47◦37.4 21◦39.4 8◦27.7 24◦13.2 140◦09.5 -12◦11.5 156◦30.5 -17◦22.117 127◦39.2 62◦36.7 21◦40.1 23◦28.5 24◦13.1 155◦11.7 -12◦11.4 171◦32.9 -17◦22.118 142◦41.7 77◦35.9 21◦40.7 38◦29.3 24◦12.9 170◦13.9 -12◦11.3 186◦35.4 -17◦22.119 157◦44.1 92◦35.1 21◦41.3 53◦30.1 24◦12.8 185◦16.1 -12◦11.2 201◦37.8 -17◦22.120 172◦46.6 107◦34.3 21◦41.9 68◦30.9 24◦12.6 200◦18.3 -12◦11.1 216◦40.2 -17◦22.121 187◦49.1 122◦33.6 21◦42.5 83◦31.7 24◦12.4 215◦20.5 -12◦11.0 231◦42.6 -17◦22.122 202◦51.5 137◦32.8 21◦43.1 98◦32.5 24◦12.3 230◦22.7 -12◦11.0 246◦45.1 -17◦22.123 217◦54.0 152◦32.0 21◦43.7 113◦33.3 24◦12.1 245◦24.9 -12◦10.9 261◦47.5 -17◦22.0Mer.pass.:8:30: v-0.8 d0.6 m-3.8 v0.8 d-0.2 m1.6 v2.2 d0.1 m-2.1 v2.4 d0.0 m0.7

Sat GHA GHA Dec GHA Dec GHA Dec GHA Dec0 232◦56.5 167◦31.2 21◦44.4 128◦34.1 24◦12.0 260◦27.1 -12◦10.8 276◦49.9 -17◦22.01 247◦58.9 182◦30.5 21◦45.0 143◦34.9 24◦11.8 275◦29.3 -12◦10.7 291◦52.4 -17◦22.02 263◦01.4 197◦29.7 21◦45.6 158◦35.7 24◦11.7 290◦31.5 -12◦10.6 306◦54.8 -17◦22.03 278◦03.9 212◦28.9 21◦46.2 173◦36.5 24◦11.5 305◦33.7 -12◦10.5 321◦57.2 -17◦22.04 293◦06.3 227◦28.1 21◦46.8 188◦37.3 24◦11.3 320◦35.9 -12◦10.4 336◦59.6 -17◦22.05 308◦08.8 242◦27.3 21◦47.4 203◦38.1 24◦11.2 335◦38.1 -12◦10.4 352◦02.1 -17◦22.06 323◦11.2 257◦26.6 21◦48.0 218◦38.9 24◦11.0 350◦40.4 -12◦10.3 7◦04.5 -17◦22.07 338◦13.7 272◦25.8 21◦48.6 233◦39.7 24◦10.9 5◦42.6 -12◦10.2 22◦06.9 -17◦22.08 353◦16.2 287◦25.0 21◦49.2 248◦40.5 24◦10.7 20◦44.8 -12◦10.1 37◦09.4 -17◦22.09 8◦18.6 302◦24.2 21◦49.8 263◦41.3 24◦10.5 35◦47.0 -12◦10.0 52◦11.8 -17◦22.010 23◦21.1 317◦23.4 21◦50.4 278◦42.1 24◦10.4 50◦49.2 -12◦09.9 67◦14.2 -17◦22.011 38◦23.6 332◦22.7 21◦51.0 293◦42.9 24◦10.2 65◦51.4 -12◦09.8 82◦16.6 -17◦22.012 53◦26.0 347◦21.9 21◦51.6 308◦43.7 24◦10.1 80◦53.6 -12◦09.8 97◦19.1 -17◦22.013 68◦28.5 2◦21.1 21◦52.2 323◦44.5 24◦09.9 95◦55.8 -12◦09.7 112◦21.5 -17◦22.014 83◦31.0 17◦20.3 21◦52.8 338◦45.3 24◦09.7 110◦58.0 -12◦09.6 127◦23.9 -17◦22.015 98◦33.4 32◦19.5 21◦53.4 353◦46.1 24◦09.6 126◦00.2 -12◦09.5 142◦26.4 -17◦22.016 113◦35.9 47◦18.7 21◦54.0 8◦46.9 24◦09.4 141◦02.4 -12◦09.4 157◦28.8 -17◦22.017 128◦38.4 62◦18.0 21◦54.6 23◦47.7 24◦09.3 156◦04.6 -12◦09.3 172◦31.2 -17◦22.018 143◦40.8 77◦17.2 21◦55.1 38◦48.5 24◦09.1 171◦06.8 -12◦09.2 187◦33.7 -17◦22.019 158◦43.3 92◦16.4 21◦55.7 53◦49.3 24◦08.9 186◦09.0 -12◦09.2 202◦36.1 -17◦22.020 173◦45.7 107◦15.6 21◦56.3 68◦50.0 24◦08.8 201◦11.2 -12◦09.1 217◦38.5 -17◦22.021 188◦48.2 122◦14.8 21◦56.9 83◦50.8 24◦08.6 216◦13.4 -12◦09.0 232◦41.0 -17◦22.022 203◦50.7 137◦14.0 21◦57.5 98◦51.6 24◦08.4 231◦15.6 -12◦08.9 247◦43.4 -17◦22.023 218◦53.1 152◦13.2 21◦58.1 113◦52.4 24◦08.3 246◦17.8 -12◦08.8 262◦45.8 -17◦22.0Mer.pass.:8:26: v-0.8 d0.6 m-3.8 v0.8 d-0.2 m1.6 v2.2 d0.1 m-2.2 v2.4 d0.0 m0.7

StarsSHA Dec

Alpheratz 357◦38.1 29◦12.2Ankaa 353◦10.5 -42◦11.4

Schedar 349◦34.8 56◦38.9Diphda 348◦50.5 -17◦52.3

Achernar 335◦23.1 -57◦07.7Hamal 327◦54.9 23◦33.6Polaris 315◦53.6 89◦21.1Akamar 315◦14.5 -40◦13.3Menkar 314◦09.6 4◦10.2Mirfak 308◦33.0 49◦56.0

Aldebaran 290◦43.4 16◦33.0Rigel 281◦07.1 -8◦10.8

Capella 280◦26.8 46◦01.2Bellatrix 278◦26.4 6◦22.0Elnath 278◦06.0 28◦37.5Alnilam 275◦41.1 -1◦11.4

Betelgeuse 270◦55.6 7◦24.5Canopus 263◦54.1 -52◦42.7

Sirius 258◦29.0 -16◦44.7Adara 255◦08.5 -29◦00.3

Procyon 244◦54.1 5◦10.3Pollux 243◦21.1 27◦58.5Avior 234◦16.1 -59◦34.9Suhail 222◦48.5 -43◦31.3

Miaplacidus 221◦38.9 -69◦48.5Alphard 217◦50.7 -8◦45.1Regulus 207◦37.6 11◦51.8Dubhe 193◦44.5 61◦38.5

Denebola 182◦27.8 14◦27.3Gienah 175◦46.4 -17◦39.7Acrux 173◦02.8 -63◦13.2

Gacrux 171◦54.5 -57◦14.1Alioth 166◦15.3 55◦50.9Spica 158◦25.2 -11◦16.3Alcaid 152◦54.0 49◦12.6Hadar 148◦39.6 -60◦28.6

Menkent 148◦00.8 -36◦28.5Arcturus 145◦50.2 19◦04.6

Rigil Kent. 139◦43.7 -60◦55.4Zubenelg. 136◦59.0 -16◦07.8Kochab 137◦18.7 74◦04.2

Alphecca 126◦06.0 26◦38.6Antares 112◦19.1 -26◦28.7

Atria 107◦15.5 -69◦03.8Sabik 102◦05.9 -15◦45.0

Shaula 96◦14.1 -37◦07.0Rasalhague 96◦01.1 12◦32.6

Etamin 90◦43.1 51◦29.0Kaus Aust. 83◦36.2 -34◦22.3

Vega 80◦35.0 38◦48.0Nunki 75◦51.3 -26◦16.1Altair 62◦02.8 8◦55.3

Peacock 53◦10.3 -56◦39.8Deneb 49◦27.7 45◦21.0

Enif 33◦41.8 9◦58.2Alnair 27◦36.8 -46◦51.3

Fomalhaut 15◦18.1 -29◦30.5Scheat 13◦48.3 28◦11.6Markab 13◦33.0 15◦19.0

2021/5/1 SHA Mer.passVenus 297◦09.9 12:48Mars 256◦57.6 15:27

Jupiter 27◦43.6 06:44Saturn 43◦55.4 05:40

2021/5/1 SHA Mer.passVenus 295◦52.4 12:49Mars 256◦17.6 15:26

Jupiter 27◦37.1 06:41Saturn 43◦54.4 05:36

2021/5/1 SHA Mer.passVenus 294◦34.8 12:51Mars 255◦37.6 15:25

Jupiter 27◦30.7 06:37Saturn 43◦53.5 05:32

Horizontal paralaxVenus: 0.1Mars: 0.1

90

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2021 May 13 to May. 15

h Sun MoonThu GHA Dec GHA ν Dec d HP0 180◦54.7 18◦23.1 167◦14.8 12.9 20◦45.5 7.9 54.01 195◦54.7 18◦23.7 181◦46.7 12.9 20◦53.3 7.8 54.02 210◦54.7 18◦24.3 196◦18.6 12.8 21◦01.1 7.7 54.03 225◦54.8 18◦25.0 210◦50.3 12.8 21◦08.7 7.6 54.04 240◦54.8 18◦25.6 225◦22.1 12.7 21◦16.2 7.5 54.05 255◦54.8 18◦26.2 239◦53.8 12.6 21◦23.7 7.4 54.06 270◦54.8 18◦26.8 254◦25.4 12.6 21◦31.0 7.3 54.07 285◦54.8 18◦27.4 268◦56.9 12.5 21◦38.3 7.2 54.08 300◦54.8 18◦28.0 283◦28.4 12.5 21◦45.5 7.1 54.09 315◦54.8 18◦28.6 297◦59.9 12.4 21◦52.6 7.0 54.010 330◦54.8 18◦29.3 312◦31.3 12.4 21◦59.5 6.9 54.011 345◦54.8 18◦29.9 327◦02.6 12.3 22◦06.4 6.8 54.012 0◦54.8 18◦30.5 341◦33.9 12.3 22◦13.2 6.7 54.113 15◦54.8 18◦31.1 356◦05.1 12.2 22◦19.9 6.6 54.114 30◦54.8 18◦31.7 10◦36.3 12.1 22◦26.5 6.5 54.115 45◦54.8 18◦32.3 25◦07.4 12.1 22◦33.0 6.4 54.116 60◦54.8 18◦32.9 39◦38.5 12.0 22◦39.4 6.3 54.117 75◦54.8 18◦33.5 54◦09.5 12.0 22◦45.6 6.2 54.118 90◦54.8 18◦34.1 68◦40.5 11.9 22◦51.8 6.1 54.119 105◦54.8 18◦34.7 83◦11.4 11.9 22◦57.9 6.0 54.120 120◦54.8 18◦35.3 97◦42.2 11.8 23◦03.9 5.9 54.121 135◦54.8 18◦35.9 112◦13.0 11.8 23◦09.8 5.8 54.122 150◦54.8 18◦36.5 126◦43.8 11.7 23◦15.6 5.7 54.123 165◦54.8 18◦37.2 141◦14.5 11.7 23◦21.2 5.6 54.1

SD.=15.8 d=0.6 S.D.=14.7

Fri GHA Dec GHA ν Dec d HP0 180◦54.8 18◦37.8 155◦45.1 11.6 23◦26.8 5.5 54.11 195◦54.8 18◦38.4 170◦15.7 11.6 23◦32.2 5.4 54.12 210◦54.8 18◦39.0 184◦46.2 11.5 23◦37.6 5.3 54.23 225◦54.8 18◦39.6 199◦16.7 11.5 23◦42.8 5.2 54.24 240◦54.8 18◦40.2 213◦47.1 11.4 23◦48.0 5.1 54.25 255◦54.8 18◦40.8 228◦17.5 11.4 23◦53.0 5.0 54.26 270◦54.8 18◦41.4 242◦47.9 11.3 23◦57.9 4.9 54.27 285◦54.8 18◦42.0 257◦18.2 11.3 24◦02.7 4.8 54.28 300◦54.8 18◦42.6 271◦48.4 11.2 24◦07.4 4.6 54.29 315◦54.8 18◦43.2 286◦18.6 11.2 24◦12.0 4.5 54.210 330◦54.8 18◦43.8 300◦48.7 11.1 24◦16.5 4.4 54.211 345◦54.7 18◦44.4 315◦18.8 11.1 24◦20.8 4.3 54.212 0◦54.7 18◦45.0 329◦48.9 11.0 24◦25.1 4.2 54.213 15◦54.7 18◦45.6 344◦18.9 11.0 24◦29.2 4.1 54.314 30◦54.7 18◦46.2 358◦48.8 10.9 24◦33.2 4.0 54.315 45◦54.7 18◦46.7 13◦18.7 10.9 24◦37.1 3.8 54.316 60◦54.7 18◦47.3 27◦48.6 10.8 24◦40.9 3.7 54.317 75◦54.7 18◦47.9 42◦18.4 10.8 24◦44.6 3.6 54.318 90◦54.7 18◦48.5 56◦48.2 10.8 24◦48.1 3.5 54.319 105◦54.7 18◦49.1 71◦18.0 10.7 24◦51.6 3.4 54.320 120◦54.7 18◦49.7 85◦47.7 10.7 24◦54.9 3.3 54.321 135◦54.7 18◦50.3 100◦17.3 10.6 24◦58.1 3.1 54.322 150◦54.7 18◦50.9 114◦47.0 10.6 25◦01.2 3.0 54.423 165◦54.7 18◦51.5 129◦16.6 10.6 25◦04.1 2.9 54.4

SD.=15.8 d=0.6 S.D.=14.8

Sat GHA Dec GHA ν Dec d HP0 180◦54.7 18◦52.1 143◦46.1 10.5 25◦07.0 2.8 54.41 195◦54.7 18◦52.7 158◦15.6 10.5 25◦09.7 2.7 54.42 210◦54.7 18◦53.3 172◦45.1 10.5 25◦12.3 2.5 54.43 225◦54.6 18◦53.9 187◦14.5 10.4 25◦14.8 2.4 54.44 240◦54.6 18◦54.4 201◦43.9 10.4 25◦17.2 2.3 54.45 255◦54.6 18◦55.0 216◦13.3 10.4 25◦19.4 2.2 54.46 270◦54.6 18◦55.6 230◦42.6 10.3 25◦21.5 2.1 54.57 285◦54.6 18◦56.2 245◦11.9 10.3 25◦23.5 1.9 54.58 300◦54.6 18◦56.8 259◦41.2 10.3 25◦25.4 1.8 54.59 315◦54.6 18◦57.4 274◦10.4 10.2 25◦27.1 1.7 54.510 330◦54.6 18◦58.0 288◦39.6 10.2 25◦28.7 1.6 54.511 345◦54.6 18◦58.5 303◦08.8 10.2 25◦30.2 1.4 54.512 0◦54.6 18◦59.1 317◦38.0 10.1 25◦31.6 1.3 54.513 15◦54.6 18◦59.7 332◦07.1 10.1 25◦32.9 1.2 54.614 30◦54.5 19◦00.3 346◦36.2 10.1 25◦34.0 1.1 54.615 45◦54.5 19◦00.9 1◦05.3 10.1 25◦35.0 0.9 54.616 60◦54.5 19◦01.5 15◦34.3 10.0 25◦35.9 0.8 54.617 75◦54.5 19◦02.0 30◦03.4 10.0 25◦36.6 0.7 54.618 90◦54.5 19◦02.6 44◦32.4 10.0 25◦37.2 0.6 54.619 105◦54.5 19◦03.2 59◦01.3 10.0 25◦37.7 0.4 54.620 120◦54.5 19◦03.8 73◦30.3 10.0 25◦38.1 0.3 54.721 135◦54.5 19◦04.4 87◦59.2 9.9 25◦38.3 0.2 54.722 150◦54.5 19◦04.9 102◦28.2 9.9 25◦38.4 0.0 54.723 165◦54.4 19◦05.5 116◦57.1 9.9 25◦38.4 -0.1 54.7

SD.=15.8 d=0.6 S.D.=14.8

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 –:– –:– –:– –:– –:– –:–70 –:– –:– 00:51 23:14 –:– –:–68 –:– –:– 01:52 22:06 –:– –:–66 –:– –:– 02:25 21:30 –:– –:–64 –:– 01:14 02:50 21:05 22:45 –:–62 –:– 01:55 03:09 20:46 22:02 –:–60 –:– 02:22 03:24 20:30 21:33 –:–58 01:06 02:43 03:38 20:17 21:12 22:5256 01:44 02:59 03:49 20:05 20:55 22:1254 02:09 03:13 03:59 19:55 20:41 21:4652 02:28 03:26 04:08 19:46 20:28 21:2650 02:44 03:36 04:15 19:38 20:18 21:1045 03:15 03:58 04:32 19:21 19:56 20:3940 03:37 04:15 04:46 19:08 19:38 20:1635 03:55 04:29 04:57 18:56 19:24 19:5830 04:10 04:41 05:07 18:46 19:12 19:4320 04:33 05:01 05:24 18:29 18:52 19:2010 04:51 05:17 05:39 18:14 18:36 19:020 05:06 05:31 05:53 17:60 18:22 18:47-10 05:19 05:44 06:06 17:46 18:08 18:34-20 05:31 05:58 06:21 17:32 17:55 18:22-30 05:43 06:12 06:37 17:15 17:40 18:09-35 05:49 06:20 06:47 17:06 17:33 18:03-40 05:56 06:29 06:58 16:55 17:24 17:57-45 06:03 06:38 07:10 16:42 17:14 17:49-50 06:11 06:50 07:26 16:27 17:02 17:42-52 06:14 06:55 07:33 16:19 16:57 17:38-54 06:18 07:01 07:41 16:11 16:51 17:35-56 06:21 07:07 07:50 16:02 16:45 17:31-58 06:26 07:14 07:60 15:52 16:38 17:26-60 06:30 07:22 08:12 15:41 16:30 17:22

Moonrise MoonsetLat. Thu Fri Sat Thu Fri Sat72 –:– –:– –:– –:– –:– –:–70 –:– –:– –:– –:– –:– –:–68 02:09 –:– –:– –:– –:– –:–66 02:57 02:27 –:– –:– 00:45 –:–64 03:28 03:28 03:34 23:45 –:– 01:2362 03:51 04:02 04:25 23:11 –:– 00:3260 04:10 04:27 04:56 22:47 –:– 00:0158 04:26 04:47 05:20 22:27 23:37 –:–56 04:39 05:04 05:39 22:11 23:18 –:–54 04:50 05:18 05:55 21:57 23:02 23:5952 05:01 05:30 06:09 21:45 22:49 23:4450 05:10 05:41 06:21 21:35 22:37 23:3245 05:29 06:04 06:46 21:12 22:12 23:0640 05:45 06:22 07:06 20:55 21:52 22:4635 05:59 06:38 07:23 20:40 21:36 22:2930 06:10 06:51 07:37 20:27 21:22 22:1420 06:31 07:14 08:02 20:05 20:57 21:5010 06:48 07:34 08:23 19:46 20:36 21:280 07:05 07:53 08:43 19:28 20:17 21:08-10 07:21 08:12 09:03 19:10 19:58 20:48-20 07:39 08:32 09:25 18:51 19:37 20:26-30 07:60 08:55 09:49 18:29 19:13 20:01-35 08:12 09:09 10:04 18:17 18:59 19:46-40 08:26 09:25 10:21 18:02 18:42 19:29-45 08:43 09:44 10:41 17:45 18:23 19:09-50 09:03 10:08 11:07 17:23 17:58 18:43-52 09:13 10:19 11:20 17:13 17:47 18:31-54 09:24 10:32 11:34 17:02 17:33 18:16-56 09:37 10:48 11:50 16:48 17:18 17:60-58 09:51 11:06 12:10 16:33 16:60 17:39-60 10:09 11:28 12:36 16:15 16:37 17:14

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower13 03:39 03:39 11:56 13:16 00:52 2(3%)14 03:39 03:39 11:56 14:04 01:40 3(6%)15 03:39 03:38 11:56 14:55 02:30 4(12%)

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May 16, 17 ,18 (Sun., Mon., Tue.)Aries Venus Mars Jupiter Saturn

Sun GHA GHA Dec GHA Dec GHA Dec GHA Dec0 233◦55.6 167◦12.4 21◦58.7 128◦53.2 24◦08.1 261◦20.0 -12◦08.7 277◦48.2 -17◦22.01 248◦58.1 182◦11.7 21◦59.3 143◦54.0 24◦07.9 276◦22.2 -12◦08.7 292◦50.7 -17◦22.02 264◦00.5 197◦10.9 21◦59.8 158◦54.8 24◦07.8 291◦24.4 -12◦08.6 307◦53.1 -17◦21.93 279◦03.0 212◦10.1 22◦00.4 173◦55.6 24◦07.6 306◦26.6 -12◦08.5 322◦55.5 -17◦21.94 294◦05.5 227◦09.3 22◦01.0 188◦56.4 24◦07.4 321◦28.9 -12◦08.4 337◦58.0 -17◦21.95 309◦07.9 242◦08.5 22◦01.6 203◦57.2 24◦07.3 336◦31.1 -12◦08.3 353◦00.4 -17◦21.96 324◦10.4 257◦07.7 22◦02.2 218◦58.0 24◦07.1 351◦33.3 -12◦08.2 8◦02.8 -17◦21.97 339◦12.9 272◦06.9 22◦02.7 233◦58.8 24◦06.9 6◦35.5 -12◦08.1 23◦05.3 -17◦21.98 354◦15.3 287◦06.1 22◦03.3 248◦59.6 24◦06.8 21◦37.7 -12◦08.1 38◦07.7 -17◦21.99 9◦17.8 302◦05.3 22◦03.9 264◦00.4 24◦06.6 36◦39.9 -12◦08.0 53◦10.1 -17◦21.910 24◦20.2 317◦04.6 22◦04.5 279◦01.2 24◦06.4 51◦42.1 -12◦07.9 68◦12.6 -17◦21.911 39◦22.7 332◦03.8 22◦05.0 294◦02.0 24◦06.3 66◦44.3 -12◦07.8 83◦15.0 -17◦21.912 54◦25.2 347◦03.0 22◦05.6 309◦02.8 24◦06.1 81◦46.5 -12◦07.7 98◦17.4 -17◦21.913 69◦27.6 2◦02.2 22◦06.2 324◦03.6 24◦05.9 96◦48.7 -12◦07.6 113◦19.9 -17◦21.914 84◦30.1 17◦01.4 22◦06.7 339◦04.4 24◦05.8 111◦50.9 -12◦07.6 128◦22.3 -17◦21.915 99◦32.6 32◦00.6 22◦07.3 354◦05.2 24◦05.6 126◦53.2 -12◦07.5 143◦24.7 -17◦21.916 114◦35.0 46◦59.8 22◦07.9 9◦06.1 24◦05.4 141◦55.4 -12◦07.4 158◦27.2 -17◦21.917 129◦37.5 61◦59.0 22◦08.4 24◦06.9 24◦05.3 156◦57.6 -12◦07.3 173◦29.6 -17◦21.918 144◦40.0 76◦58.2 22◦09.0 39◦07.7 24◦05.1 171◦59.8 -12◦07.2 188◦32.1 -17◦21.919 159◦42.4 91◦57.4 22◦09.6 54◦08.5 24◦04.9 187◦02.0 -12◦07.2 203◦34.5 -17◦21.920 174◦44.9 106◦56.6 22◦10.1 69◦09.3 24◦04.8 202◦04.2 -12◦07.1 218◦36.9 -17◦21.921 189◦47.4 121◦55.8 22◦10.7 84◦10.1 24◦04.6 217◦06.4 -12◦07.0 233◦39.4 -17◦21.922 204◦49.8 136◦55.0 22◦11.3 99◦10.9 24◦04.4 232◦08.6 -12◦06.9 248◦41.8 -17◦21.923 219◦52.3 151◦54.2 22◦11.8 114◦11.7 24◦04.2 247◦10.9 -12◦06.8 263◦44.2 -17◦21.9Mer.pass.:8:22: v-0.8 d0.6 m-3.8 v0.8 d-0.2 m1.6 v2.2 d0.1 m-2.2 v2.4 d0.0 m0.7

Mon GHA GHA Dec GHA Dec GHA Dec GHA Dec0 234◦54.7 166◦53.4 22◦12.4 129◦12.5 24◦04.1 262◦13.1 -12◦06.7 278◦46.7 -17◦21.91 249◦57.2 181◦52.6 22◦12.9 144◦13.3 24◦03.9 277◦15.3 -12◦06.7 293◦49.1 -17◦21.92 264◦59.7 196◦51.8 22◦13.5 159◦14.1 24◦03.7 292◦17.5 -12◦06.6 308◦51.5 -17◦21.93 280◦02.1 211◦51.0 22◦14.0 174◦14.9 24◦03.6 307◦19.7 -12◦06.5 323◦54.0 -17◦21.94 295◦04.6 226◦50.2 22◦14.6 189◦15.7 24◦03.4 322◦21.9 -12◦06.4 338◦56.4 -17◦21.95 310◦07.1 241◦49.4 22◦15.2 204◦16.5 24◦03.2 337◦24.1 -12◦06.3 353◦58.8 -17◦21.96 325◦09.5 256◦48.6 22◦15.7 219◦17.3 24◦03.0 352◦26.3 -12◦06.3 9◦01.3 -17◦21.97 340◦12.0 271◦47.8 22◦16.3 234◦18.1 24◦02.9 7◦28.6 -12◦06.2 24◦03.7 -17◦21.98 355◦14.5 286◦47.0 22◦16.8 249◦18.9 24◦02.7 22◦30.8 -12◦06.1 39◦06.2 -17◦21.99 10◦16.9 301◦46.2 22◦17.4 264◦19.7 24◦02.5 37◦33.0 -12◦06.0 54◦08.6 -17◦21.910 25◦19.4 316◦45.4 22◦17.9 279◦20.5 24◦02.3 52◦35.2 -12◦05.9 69◦11.0 -17◦21.911 40◦21.9 331◦44.6 22◦18.5 294◦21.3 24◦02.2 67◦37.4 -12◦05.8 84◦13.5 -17◦21.912 55◦24.3 346◦43.8 22◦19.0 309◦22.1 24◦02.0 82◦39.6 -12◦05.8 99◦15.9 -17◦21.913 70◦26.8 1◦43.0 22◦19.5 324◦22.9 24◦01.8 97◦41.9 -12◦05.7 114◦18.4 -17◦21.914 85◦29.2 16◦42.2 22◦20.1 339◦23.7 24◦01.6 112◦44.1 -12◦05.6 129◦20.8 -17◦21.915 100◦31.7 31◦41.4 22◦20.6 354◦24.5 24◦01.5 127◦46.3 -12◦05.5 144◦23.2 -17◦21.916 115◦34.2 46◦40.6 22◦21.2 9◦25.3 24◦01.3 142◦48.5 -12◦05.4 159◦25.7 -17◦21.917 130◦36.6 61◦39.8 22◦21.7 24◦26.1 24◦01.1 157◦50.7 -12◦05.4 174◦28.1 -17◦21.918 145◦39.1 76◦39.0 22◦22.3 39◦26.9 24◦00.9 172◦52.9 -12◦05.3 189◦30.5 -17◦21.919 160◦41.6 91◦38.2 22◦22.8 54◦27.7 24◦00.8 187◦55.2 -12◦05.2 204◦33.0 -17◦21.920 175◦44.0 106◦37.4 22◦23.3 69◦28.5 24◦00.6 202◦57.4 -12◦05.1 219◦35.4 -17◦21.921 190◦46.5 121◦36.6 22◦23.9 84◦29.3 24◦00.4 217◦59.6 -12◦05.0 234◦37.9 -17◦21.922 205◦49.0 136◦35.8 22◦24.4 99◦30.1 24◦00.2 233◦01.8 -12◦05.0 249◦40.3 -17◦21.923 220◦51.4 151◦35.0 22◦24.9 114◦30.9 24◦00.1 248◦04.0 -12◦04.9 264◦42.7 -17◦21.9Mer.pass.:8:18: v-0.8 d0.6 m-3.8 v0.8 d-0.2 m1.6 v2.2 d0.1 m-2.2 v2.4 d0.0 m0.7

Tue GHA GHA Dec GHA Dec GHA Dec GHA Dec0 235◦53.9 166◦34.2 22◦25.5 129◦31.7 23◦59.9 263◦06.3 -12◦04.8 279◦45.2 -17◦21.91 250◦56.3 181◦33.4 22◦26.0 144◦32.5 23◦59.7 278◦08.5 -12◦04.7 294◦47.6 -17◦21.92 265◦58.8 196◦32.6 22◦26.5 159◦33.3 23◦59.5 293◦10.7 -12◦04.6 309◦50.1 -17◦21.93 281◦01.3 211◦31.8 22◦27.1 174◦34.1 23◦59.3 308◦12.9 -12◦04.6 324◦52.5 -17◦21.94 296◦03.7 226◦31.0 22◦27.6 189◦34.9 23◦59.2 323◦15.1 -12◦04.5 339◦54.9 -17◦21.95 311◦06.2 241◦30.2 22◦28.1 204◦35.7 23◦59.0 338◦17.4 -12◦04.4 354◦57.4 -17◦21.96 326◦08.7 256◦29.4 22◦28.6 219◦36.5 23◦58.8 353◦19.6 -12◦04.3 9◦59.8 -17◦21.97 341◦11.1 271◦28.5 22◦29.2 234◦37.3 23◦58.6 8◦21.8 -12◦04.2 25◦02.3 -17◦21.98 356◦13.6 286◦27.7 22◦29.7 249◦38.1 23◦58.4 23◦24.0 -12◦04.2 40◦04.7 -17◦21.99 11◦16.1 301◦26.9 22◦30.2 264◦38.9 23◦58.3 38◦26.2 -12◦04.1 55◦07.2 -17◦21.910 26◦18.5 316◦26.1 22◦30.7 279◦39.7 23◦58.1 53◦28.5 -12◦04.0 70◦09.6 -17◦21.911 41◦21.0 331◦25.3 22◦31.2 294◦40.5 23◦57.9 68◦30.7 -12◦03.9 85◦12.0 -17◦21.912 56◦23.5 346◦24.5 22◦31.8 309◦41.3 23◦57.7 83◦32.9 -12◦03.9 100◦14.5 -17◦21.913 71◦25.9 1◦23.7 22◦32.3 324◦42.1 23◦57.5 98◦35.1 -12◦03.8 115◦16.9 -17◦21.914 86◦28.4 16◦22.9 22◦32.8 339◦42.9 23◦57.3 113◦37.3 -12◦03.7 130◦19.4 -17◦21.915 101◦30.8 31◦22.1 22◦33.3 354◦43.7 23◦57.2 128◦39.6 -12◦03.6 145◦21.8 -17◦21.916 116◦33.3 46◦21.3 22◦33.8 9◦44.5 23◦57.0 143◦41.8 -12◦03.5 160◦24.2 -17◦21.917 131◦35.8 61◦20.4 22◦34.3 24◦45.3 23◦56.8 158◦44.0 -12◦03.5 175◦26.7 -17◦21.918 146◦38.2 76◦19.6 22◦34.9 39◦46.1 23◦56.6 173◦46.2 -12◦03.4 190◦29.1 -17◦21.919 161◦40.7 91◦18.8 22◦35.4 54◦46.9 23◦56.4 188◦48.5 -12◦03.3 205◦31.6 -17◦21.920 176◦43.2 106◦18.0 22◦35.9 69◦47.8 23◦56.2 203◦50.7 -12◦03.2 220◦34.0 -17◦21.921 191◦45.6 121◦17.2 22◦36.4 84◦48.6 23◦56.1 218◦52.9 -12◦03.2 235◦36.5 -17◦21.922 206◦48.1 136◦16.4 22◦36.9 99◦49.4 23◦55.9 233◦55.1 -12◦03.1 250◦38.9 -17◦21.923 221◦50.6 151◦15.6 22◦37.4 114◦50.2 23◦55.7 248◦57.4 -12◦03.0 265◦41.4 -17◦21.9Mer.pass.:8:15: v-0.8 d0.5 m-3.8 v0.8 d-0.2 m1.7 v2.2 d0.1 m-2.2 v2.4 d0.0 m0.6

StarsSHA Dec

Alpheratz 357◦38.1 29◦12.2Ankaa 353◦10.4 -42◦11.4

Schedar 349◦34.8 56◦38.9Diphda 348◦50.5 -17◦52.3

Achernar 335◦23.1 -57◦07.7Hamal 327◦54.9 23◦33.6Polaris 315◦53.1 89◦21.1Akamar 315◦14.5 -40◦13.3Menkar 314◦09.6 4◦10.2Mirfak 308◦33.0 49◦56.0

Aldebaran 290◦43.4 16◦33.0Rigel 281◦07.1 -8◦10.8

Capella 280◦26.8 46◦01.2Bellatrix 278◦26.4 6◦22.0Elnath 278◦06.0 28◦37.5Alnilam 275◦41.1 -1◦11.4

Betelgeuse 270◦55.6 7◦24.5Canopus 263◦54.2 -52◦42.7

Sirius 258◦29.0 -16◦44.7Adara 255◦08.5 -29◦00.3

Procyon 244◦54.1 5◦10.3Pollux 243◦21.1 27◦58.5Avior 234◦16.1 -59◦34.9Suhail 222◦48.5 -43◦31.3

Miaplacidus 221◦38.9 -69◦48.5Alphard 217◦50.7 -8◦45.1Regulus 207◦37.6 11◦51.8Dubhe 193◦44.5 61◦38.5

Denebola 182◦27.8 14◦27.3Gienah 175◦46.4 -17◦39.7Acrux 173◦02.9 -63◦13.2

Gacrux 171◦54.5 -57◦14.1Alioth 166◦15.3 55◦50.9Spica 158◦25.2 -11◦16.3Alcaid 152◦54.0 49◦12.6Hadar 148◦39.6 -60◦28.6

Menkent 148◦00.8 -36◦28.5Arcturus 145◦50.2 19◦04.6

Rigil Kent. 139◦43.7 -60◦55.4Zubenelg. 136◦59.0 -16◦07.8Kochab 137◦18.7 74◦04.2

Alphecca 126◦05.9 26◦38.6Antares 112◦19.1 -26◦28.7

Atria 107◦15.5 -69◦03.8Sabik 102◦05.9 -15◦45.0

Shaula 96◦14.1 -37◦07.0Rasalhague 96◦01.0 12◦32.6

Etamin 90◦43.1 51◦29.0Kaus Aust. 83◦36.2 -34◦22.3

Vega 80◦35.0 38◦48.0Nunki 75◦51.2 -26◦16.1Altair 62◦02.8 8◦55.3

Peacock 53◦10.3 -56◦39.8Deneb 49◦27.7 45◦21.1

Enif 33◦41.7 9◦58.2Alnair 27◦36.8 -46◦51.3

Fomalhaut 15◦18.0 -29◦30.5Scheat 13◦48.2 28◦11.6Markab 13◦33.0 15◦19.0

2021/5/1 SHA Mer.passVenus 293◦16.8 12:52Mars 254◦57.6 15:24

Jupiter 27◦24.4 06:34Saturn 43◦52.6 05:28

2021/5/1 SHA Mer.passVenus 291◦58.7 12:53Mars 254◦17.7 15:22

Jupiter 27◦18.3 06:30Saturn 43◦51.9 05:24

2021/5/1 SHA Mer.passVenus 290◦40.3 12:54Mars 253◦37.8 15:21

Jupiter 27◦12.4 06:27Saturn 43◦51.3 05:20

Horizontal paralaxVenus: 0.1Mars: 0.1

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2021 May 16 to May. 18

h Sun MoonSun GHA Dec GHA ν Dec d HP0 180◦54.4 19◦06.1 131◦25.9 9.9 25◦38.3 -0.2 54.71 195◦54.4 19◦06.7 145◦54.8 9.9 25◦38.0 -0.3 54.72 210◦54.4 19◦07.2 160◦23.7 9.8 25◦37.6 -0.5 54.83 225◦54.4 19◦07.8 174◦52.5 9.8 25◦37.1 -0.6 54.84 240◦54.4 19◦08.4 189◦21.3 9.8 25◦36.4 -0.7 54.85 255◦54.4 19◦09.0 203◦50.2 9.8 25◦35.6 -0.8 54.86 270◦54.3 19◦09.5 218◦19.0 9.8 25◦34.7 -1.0 54.87 285◦54.3 19◦10.1 232◦47.8 9.8 25◦33.7 -1.1 54.98 300◦54.3 19◦10.7 247◦16.5 9.8 25◦32.5 -1.2 54.99 315◦54.3 19◦11.3 261◦45.3 9.8 25◦31.2 -1.4 54.910 330◦54.3 19◦11.8 276◦14.1 9.8 25◦29.8 -1.5 54.911 345◦54.3 19◦12.4 290◦42.8 9.8 25◦28.2 -1.6 54.912 0◦54.3 19◦13.0 305◦11.6 9.8 25◦26.5 -1.8 55.013 15◦54.2 19◦13.5 319◦40.3 9.7 25◦24.7 -1.9 55.014 30◦54.2 19◦14.1 334◦09.1 9.7 25◦22.8 -2.0 55.015 45◦54.2 19◦14.7 348◦37.8 9.7 25◦20.7 -2.1 55.016 60◦54.2 19◦15.2 3◦06.6 9.7 25◦18.5 -2.3 55.017 75◦54.2 19◦15.8 17◦35.3 9.7 25◦16.1 -2.4 55.118 90◦54.2 19◦16.4 32◦04.1 9.7 25◦13.7 -2.5 55.119 105◦54.1 19◦16.9 46◦32.8 9.7 25◦11.1 -2.7 55.120 120◦54.1 19◦17.5 61◦01.5 9.7 25◦08.4 -2.8 55.121 135◦54.1 19◦18.1 75◦30.3 9.7 25◦05.5 -2.9 55.122 150◦54.1 19◦18.6 89◦59.0 9.7 25◦02.5 -3.0 55.223 165◦54.1 19◦19.2 104◦27.8 9.8 24◦59.4 -3.2 55.2

SD.=15.8 d=0.6 S.D.=14.9

Mon GHA Dec GHA ν Dec d HP0 180◦54.0 19◦19.8 118◦56.5 9.8 24◦56.2 -3.3 55.21 195◦54.0 19◦20.3 133◦25.3 9.8 24◦52.8 -3.4 55.22 210◦54.0 19◦20.9 147◦54.1 9.8 24◦49.3 -3.6 55.23 225◦54.0 19◦21.5 162◦22.8 9.8 24◦45.7 -3.7 55.34 240◦54.0 19◦22.0 176◦51.6 9.8 24◦41.9 -3.8 55.35 255◦54.0 19◦22.6 191◦20.4 9.8 24◦38.1 -3.9 55.36 270◦53.9 19◦23.1 205◦49.2 9.8 24◦34.0 -4.1 55.37 285◦53.9 19◦23.7 220◦18.0 9.8 24◦29.9 -4.2 55.48 300◦53.9 19◦24.3 234◦46.9 9.8 24◦25.6 -4.3 55.49 315◦53.9 19◦24.8 249◦15.7 9.8 24◦21.3 -4.5 55.410 330◦53.8 19◦25.4 263◦44.5 9.9 24◦16.7 -4.6 55.411 345◦53.8 19◦25.9 278◦13.4 9.9 24◦12.1 -4.7 55.512 0◦53.8 19◦26.5 292◦42.3 9.9 24◦07.3 -4.8 55.513 15◦53.8 19◦27.0 307◦11.2 9.9 24◦02.4 -5.0 55.514 30◦53.8 19◦27.6 321◦40.1 9.9 23◦57.4 -5.1 55.515 45◦53.7 19◦28.2 336◦09.0 9.9 23◦52.2 -5.2 55.616 60◦53.7 19◦28.7 350◦37.9 9.9 23◦47.0 -5.3 55.617 75◦53.7 19◦29.3 5◦06.9 10.0 23◦41.6 -5.5 55.618 90◦53.7 19◦29.8 19◦35.9 10.0 23◦36.0 -5.6 55.619 105◦53.7 19◦30.4 34◦04.9 10.0 23◦30.4 -5.7 55.720 120◦53.6 19◦30.9 48◦33.9 10.0 23◦24.6 -5.8 55.721 135◦53.6 19◦31.5 63◦02.9 10.0 23◦18.7 -6.0 55.722 150◦53.6 19◦32.0 77◦31.9 10.1 23◦12.7 -6.1 55.723 165◦53.6 19◦32.6 92◦01.0 10.1 23◦06.6 -6.2 55.8

SD.=15.8 d=0.6 S.D.=15.1

Tue GHA Dec GHA ν Dec d HP0 180◦53.5 19◦33.1 106◦30.1 10.1 23◦00.3 -6.3 55.81 195◦53.5 19◦33.7 120◦59.2 10.1 22◦53.9 -6.4 55.82 210◦53.5 19◦34.2 135◦28.4 10.1 22◦47.4 -6.6 55.83 225◦53.5 19◦34.8 149◦57.5 10.2 22◦40.8 -6.7 55.94 240◦53.4 19◦35.3 164◦26.7 10.2 22◦34.0 -6.8 55.95 255◦53.4 19◦35.9 178◦55.9 10.2 22◦27.1 -6.9 55.96 270◦53.4 19◦36.4 193◦25.1 10.2 22◦20.2 -7.1 56.07 285◦53.4 19◦37.0 207◦54.4 10.3 22◦13.0 -7.2 56.08 300◦53.3 19◦37.5 222◦23.6 10.3 22◦05.8 -7.3 56.09 315◦53.3 19◦38.0 236◦52.9 10.3 21◦58.5 -7.4 56.010 330◦53.3 19◦38.6 251◦22.3 10.3 21◦51.0 -7.5 56.111 345◦53.2 19◦39.1 265◦51.6 10.4 21◦43.4 -7.6 56.112 0◦53.2 19◦39.7 280◦21.0 10.4 21◦35.7 -7.8 56.113 15◦53.2 19◦40.2 294◦50.4 10.4 21◦27.9 -7.9 56.214 30◦53.2 19◦40.8 309◦19.8 10.4 21◦19.9 -8.0 56.215 45◦53.1 19◦41.3 323◦49.3 10.5 21◦11.9 -8.1 56.216 60◦53.1 19◦41.8 338◦18.8 10.5 21◦03.7 -8.2 56.317 75◦53.1 19◦42.4 352◦48.3 10.5 20◦55.4 -8.3 56.318 90◦53.1 19◦42.9 7◦17.8 10.5 20◦47.0 -8.5 56.319 105◦53.0 19◦43.5 21◦47.3 10.6 20◦38.5 -8.6 56.320 120◦53.0 19◦44.0 36◦16.9 10.6 20◦29.9 -8.7 56.421 135◦53.0 19◦44.5 50◦46.5 10.6 20◦21.2 -8.8 56.422 150◦52.9 19◦45.1 65◦16.2 10.7 20◦12.3 -8.9 56.423 165◦52.9 19◦45.6 79◦45.8 10.7 20◦03.4 -9.0 56.5

SD.=15.8 d=0.5 S.D.=15.2

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 –:– –:– –:– –:– –:– –:–70 –:– –:– –:– –:– –:– –:–68 –:– –:– 01:34 22:24 –:– –:–66 –:– –:– 02:13 21:43 –:– –:–64 –:– 00:51 02:40 21:15 23:11 –:–62 –:– 01:42 03:01 20:54 22:15 –:–60 –:– 02:12 03:17 20:37 21:43 –:–58 00:45 02:35 03:31 20:23 21:20 23:1656 01:32 02:53 03:43 20:11 21:02 22:2454 01:60 03:08 03:54 20:00 20:47 21:5552 02:21 03:20 04:03 19:51 20:34 21:3450 02:38 03:31 04:11 19:42 20:22 21:1645 03:10 03:54 04:29 19:25 19:59 20:4440 03:34 04:12 04:43 19:10 19:41 20:2035 03:52 04:27 04:55 18:58 19:27 20:0130 04:08 04:39 05:05 18:48 19:14 19:4620 04:31 04:59 05:23 18:30 18:54 19:2210 04:50 05:16 05:39 18:14 18:37 19:030 05:05 05:31 05:53 17:60 18:22 18:47-10 05:19 05:45 06:07 17:46 18:08 18:34-20 05:32 05:59 06:22 17:31 17:54 18:21-30 05:45 06:14 06:39 17:13 17:39 18:08-35 05:51 06:22 06:49 17:03 17:31 18:01-40 05:58 06:31 07:00 16:52 17:21 17:54-45 06:06 06:41 07:14 16:39 17:11 17:47-50 06:14 06:54 07:30 16:23 16:59 17:38-52 06:18 06:59 07:37 16:15 16:53 17:35-54 06:22 07:05 07:46 16:07 16:47 17:31-56 06:26 07:12 07:55 15:57 16:40 17:26-58 06:30 07:19 08:06 15:46 16:33 17:22-60 06:35 07:28 08:18 15:34 16:24 17:17

Moonrise MoonsetLat. Sun Mon Tue Sun Mon Tue72 –:– –:– –:– –:– –:– –:–70 –:– –:– –:– –:– –:– –:–68 –:– –:– –:– –:– –:– –:–66 –:– –:– 06:44 –:– –:– 03:3564 04:11 05:40 07:25 02:33 02:52 02:5462 05:10 06:23 07:52 01:33 02:08 02:2660 05:44 06:51 08:14 00:60 01:39 02:0458 06:08 07:13 08:31 00:35 01:17 01:4656 06:28 07:31 08:46 00:15 00:59 01:3154 06:45 07:46 08:58 –:– 00:44 01:1852 06:59 07:60 09:09 –:– 00:30 01:0650 07:11 08:11 09:19 –:– 00:19 00:5645 07:37 08:35 09:40 23:54 –:– 00:3540 07:57 08:54 09:56 23:35 –:– 00:1735 08:14 09:10 10:10 23:18 –:– 00:0330 08:28 09:24 10:22 23:04 23:50 –:–20 08:53 09:47 10:43 22:40 23:28 –:–10 09:15 10:08 11:01 22:19 23:09 23:570 09:35 10:26 11:18 21:60 22:51 23:42-10 09:55 10:45 11:34 21:40 22:33 23:27-20 10:16 11:05 11:52 21:19 22:14 23:10-30 10:41 11:29 12:12 20:55 21:52 22:51-35 10:55 11:42 12:24 20:40 21:39 22:40-40 11:12 11:58 12:38 20:23 21:23 22:27-45 11:33 12:17 12:54 20:03 21:05 22:12-50 11:58 12:40 13:14 19:38 20:43 21:54-52 12:10 12:51 13:23 19:26 20:32 21:45-54 12:25 13:04 13:33 19:12 20:19 21:35-56 12:41 13:18 13:45 18:56 20:05 21:24-58 13:01 13:35 13:59 18:36 19:49 21:11-60 13:25 13:56 14:14 18:12 19:28 20:55

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower16 03:38 03:37 11:56 15:47 03:21 5(19%)17 03:36 03:35 11:56 16:38 04:13 6(27%)18 03:34 03:33 11:56 17:29 05:04 7(37%)

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May 19, 20 ,21 (Wed., Thu., Fri.)Aries Venus Mars Jupiter Saturn

Wed GHA GHA Dec GHA Dec GHA Dec GHA Dec0 236◦53.0 166◦14.7 22◦37.9 129◦51.0 23◦55.5 263◦59.6 -12◦02.9 280◦43.8 -17◦21.91 251◦55.5 181◦13.9 22◦38.4 144◦51.8 23◦55.3 279◦01.8 -12◦02.8 295◦46.2 -17◦21.92 266◦58.0 196◦13.1 22◦38.9 159◦52.6 23◦55.1 294◦04.0 -12◦02.8 310◦48.7 -17◦21.93 282◦00.4 211◦12.3 22◦39.4 174◦53.4 23◦55.0 309◦06.3 -12◦02.7 325◦51.1 -17◦21.94 297◦02.9 226◦11.5 22◦39.9 189◦54.2 23◦54.8 324◦08.5 -12◦02.6 340◦53.6 -17◦21.95 312◦05.3 241◦10.7 22◦40.4 204◦55.0 23◦54.6 339◦10.7 -12◦02.5 355◦56.0 -17◦21.96 327◦07.8 256◦09.8 22◦40.9 219◦55.8 23◦54.4 354◦12.9 -12◦02.5 10◦58.5 -17◦21.97 342◦10.3 271◦09.0 22◦41.4 234◦56.6 23◦54.2 9◦15.2 -12◦02.4 26◦00.9 -17◦21.98 357◦12.7 286◦08.2 22◦41.9 249◦57.4 23◦54.0 24◦17.4 -12◦02.3 41◦03.4 -17◦21.99 12◦15.2 301◦07.4 22◦42.4 264◦58.2 23◦53.8 39◦19.6 -12◦02.2 56◦05.8 -17◦21.910 27◦17.7 316◦06.6 22◦42.9 279◦59.0 23◦53.6 54◦21.9 -12◦02.2 71◦08.3 -17◦21.911 42◦20.1 331◦05.8 22◦43.4 294◦59.8 23◦53.5 69◦24.1 -12◦02.1 86◦10.7 -17◦21.912 57◦22.6 346◦04.9 22◦43.9 310◦00.6 23◦53.3 84◦26.3 -12◦02.0 101◦13.1 -17◦21.913 72◦25.1 1◦04.1 22◦44.4 325◦01.4 23◦53.1 99◦28.5 -12◦01.9 116◦15.6 -17◦21.914 87◦27.5 16◦03.3 22◦44.9 340◦02.2 23◦52.9 114◦30.8 -12◦01.8 131◦18.0 -17◦21.915 102◦30.0 31◦02.5 22◦45.4 355◦03.0 23◦52.7 129◦33.0 -12◦01.8 146◦20.5 -17◦21.916 117◦32.5 46◦01.7 22◦45.9 10◦03.8 23◦52.5 144◦35.2 -12◦01.7 161◦22.9 -17◦21.917 132◦34.9 61◦00.8 22◦46.3 25◦04.6 23◦52.3 159◦37.5 -12◦01.6 176◦25.4 -17◦21.918 147◦37.4 76◦00.0 22◦46.8 40◦05.4 23◦52.1 174◦39.7 -12◦01.5 191◦27.8 -17◦21.919 162◦39.8 90◦59.2 22◦47.3 55◦06.2 23◦51.9 189◦41.9 -12◦01.5 206◦30.3 -17◦21.920 177◦42.3 105◦58.4 22◦47.8 70◦07.0 23◦51.7 204◦44.2 -12◦01.4 221◦32.7 -17◦21.921 192◦44.8 120◦57.5 22◦48.3 85◦07.9 23◦51.6 219◦46.4 -12◦01.3 236◦35.2 -17◦21.922 207◦47.2 135◦56.7 22◦48.8 100◦08.7 23◦51.4 234◦48.6 -12◦01.2 251◦37.6 -17◦21.923 222◦49.7 150◦55.9 22◦49.2 115◦09.5 23◦51.2 249◦50.9 -12◦01.2 266◦40.1 -17◦21.9Mer.pass.:8:11: v-0.8 d0.5 m-3.8 v0.8 d-0.2 m1.7 v2.2 d0.1 m-2.2 v2.4 d-0.0 m0.6

Thu GHA GHA Dec GHA Dec GHA Dec GHA Dec0 237◦52.2 165◦55.1 22◦49.7 130◦10.3 23◦51.0 264◦53.1 -12◦01.1 281◦42.5 -17◦21.91 252◦54.6 180◦54.3 22◦50.2 145◦11.1 23◦50.8 279◦55.3 -12◦01.0 296◦45.0 -17◦21.92 267◦57.1 195◦53.4 22◦50.7 160◦11.9 23◦50.6 294◦57.5 -12◦00.9 311◦47.4 -17◦21.93 282◦59.6 210◦52.6 22◦51.1 175◦12.7 23◦50.4 309◦59.8 -12◦00.9 326◦49.9 -17◦21.94 298◦02.0 225◦51.8 22◦51.6 190◦13.5 23◦50.2 325◦02.0 -12◦00.8 341◦52.3 -17◦21.95 313◦04.5 240◦51.0 22◦52.1 205◦14.3 23◦50.0 340◦04.2 -12◦00.7 356◦54.8 -17◦21.96 328◦06.9 255◦50.1 22◦52.6 220◦15.1 23◦49.8 355◦06.5 -12◦00.6 11◦57.2 -17◦21.97 343◦09.4 270◦49.3 22◦53.0 235◦15.9 23◦49.6 10◦08.7 -12◦00.6 26◦59.7 -17◦21.98 358◦11.9 285◦48.5 22◦53.5 250◦16.7 23◦49.4 25◦11.0 -12◦00.5 42◦02.1 -17◦21.99 13◦14.3 300◦47.7 22◦54.0 265◦17.5 23◦49.2 40◦13.2 -12◦00.4 57◦04.6 -17◦21.910 28◦16.8 315◦46.8 22◦54.4 280◦18.3 23◦49.0 55◦15.4 -12◦00.4 72◦07.0 -17◦21.911 43◦19.3 330◦46.0 22◦54.9 295◦19.1 23◦48.8 70◦17.7 -12◦00.3 87◦09.5 -17◦21.912 58◦21.7 345◦45.2 22◦55.4 310◦19.9 23◦48.7 85◦19.9 -12◦00.2 102◦11.9 -17◦21.913 73◦24.2 0◦44.3 22◦55.8 325◦20.7 23◦48.5 100◦22.1 -12◦00.1 117◦14.4 -17◦21.914 88◦26.7 15◦43.5 22◦56.3 340◦21.5 23◦48.3 115◦24.4 -12◦00.1 132◦16.8 -17◦21.915 103◦29.1 30◦42.7 22◦56.8 355◦22.4 23◦48.1 130◦26.6 -11◦60.0 147◦19.3 -17◦21.916 118◦31.6 45◦41.9 22◦57.2 10◦23.2 23◦47.9 145◦28.8 -11◦59.9 162◦21.7 -17◦21.917 133◦34.1 60◦41.0 22◦57.7 25◦24.0 23◦47.7 160◦31.1 -11◦59.8 177◦24.2 -17◦21.918 148◦36.5 75◦40.2 22◦58.1 40◦24.8 23◦47.5 175◦33.3 -11◦59.8 192◦26.6 -17◦21.919 163◦39.0 90◦39.4 22◦58.6 55◦25.6 23◦47.3 190◦35.5 -11◦59.7 207◦29.1 -17◦21.920 178◦41.4 105◦38.5 22◦59.1 70◦26.4 23◦47.1 205◦37.8 -11◦59.6 222◦31.5 -17◦21.921 193◦43.9 120◦37.7 22◦59.5 85◦27.2 23◦46.9 220◦40.0 -11◦59.5 237◦34.0 -17◦21.922 208◦46.4 135◦36.9 22◦60.0 100◦28.0 23◦46.7 235◦42.3 -11◦59.5 252◦36.4 -17◦21.923 223◦48.8 150◦36.0 23◦00.4 115◦28.8 23◦46.5 250◦44.5 -11◦59.4 267◦38.9 -17◦21.9Mer.pass.:8:07: v-0.8 d0.5 m-3.8 v0.8 d-0.2 m1.7 v2.2 d0.1 m-2.2 v2.4 d-0.0 m0.6

Fri GHA GHA Dec GHA Dec GHA Dec GHA Dec0 238◦51.3 165◦35.2 23◦00.9 130◦29.6 23◦46.3 265◦46.7 -11◦59.3 282◦41.3 -17◦21.91 253◦53.8 180◦34.4 23◦01.3 145◦30.4 23◦46.1 280◦49.0 -11◦59.3 297◦43.8 -17◦21.92 268◦56.2 195◦33.6 23◦01.8 160◦31.2 23◦45.9 295◦51.2 -11◦59.2 312◦46.2 -17◦22.03 283◦58.7 210◦32.7 23◦02.2 175◦32.0 23◦45.7 310◦53.5 -11◦59.1 327◦48.7 -17◦22.04 299◦01.2 225◦31.9 23◦02.7 190◦32.8 23◦45.5 325◦55.7 -11◦59.0 342◦51.1 -17◦22.05 314◦03.6 240◦31.1 23◦03.1 205◦33.6 23◦45.3 340◦57.9 -11◦59.0 357◦53.6 -17◦22.06 329◦06.1 255◦30.2 23◦03.6 220◦34.5 23◦45.1 356◦00.2 -11◦58.9 12◦56.0 -17◦22.07 344◦08.5 270◦29.4 23◦04.0 235◦35.3 23◦44.9 11◦02.4 -11◦58.8 27◦58.5 -17◦22.08 359◦11.0 285◦28.6 23◦04.4 250◦36.1 23◦44.7 26◦04.7 -11◦58.7 43◦01.0 -17◦22.09 14◦13.5 300◦27.7 23◦04.9 265◦36.9 23◦44.5 41◦06.9 -11◦58.7 58◦03.4 -17◦22.010 29◦15.9 315◦26.9 23◦05.3 280◦37.7 23◦44.3 56◦09.1 -11◦58.6 73◦05.9 -17◦22.011 44◦18.4 330◦26.1 23◦05.8 295◦38.5 23◦44.1 71◦11.4 -11◦58.5 88◦08.3 -17◦22.012 59◦20.9 345◦25.2 23◦06.2 310◦39.3 23◦43.9 86◦13.6 -11◦58.5 103◦10.8 -17◦22.013 74◦23.3 0◦24.4 23◦06.6 325◦40.1 23◦43.7 101◦15.9 -11◦58.4 118◦13.2 -17◦22.014 89◦25.8 15◦23.5 23◦07.1 340◦40.9 23◦43.5 116◦18.1 -11◦58.3 133◦15.7 -17◦22.015 104◦28.3 30◦22.7 23◦07.5 355◦41.7 23◦43.3 131◦20.3 -11◦58.3 148◦18.1 -17◦22.016 119◦30.7 45◦21.9 23◦07.9 10◦42.5 23◦43.1 146◦22.6 -11◦58.2 163◦20.6 -17◦22.017 134◦33.2 60◦21.0 23◦08.4 25◦43.3 23◦42.9 161◦24.8 -11◦58.1 178◦23.0 -17◦22.018 149◦35.7 75◦20.2 23◦08.8 40◦44.1 23◦42.7 176◦27.1 -11◦58.0 193◦25.5 -17◦22.019 164◦38.1 90◦19.4 23◦09.2 55◦44.9 23◦42.4 191◦29.3 -11◦58.0 208◦28.0 -17◦22.020 179◦40.6 105◦18.5 23◦09.7 70◦45.8 23◦42.2 206◦31.6 -11◦57.9 223◦30.4 -17◦22.021 194◦43.0 120◦17.7 23◦10.1 85◦46.6 23◦42.0 221◦33.8 -11◦57.8 238◦32.9 -17◦22.022 209◦45.5 135◦16.8 23◦10.5 100◦47.4 23◦41.8 236◦36.1 -11◦57.8 253◦35.3 -17◦22.023 224◦48.0 150◦16.0 23◦10.9 115◦48.2 23◦41.6 251◦38.3 -11◦57.7 268◦37.8 -17◦22.0Mer.pass.:8:03: v-0.8 d0.5 m-3.8 v0.8 d-0.2 m1.7 v2.2 d0.1 m-2.2 v2.5 d-0.0 m0.6

StarsSHA Dec

Alpheratz 357◦38.0 29◦12.2Ankaa 353◦10.4 -42◦11.4

Schedar 349◦34.8 56◦38.9Diphda 348◦50.4 -17◦52.3

Achernar 335◦23.0 -57◦07.7Hamal 327◦54.9 23◦33.6Polaris 315◦52.7 89◦21.1Akamar 315◦14.5 -40◦13.2Menkar 314◦09.6 4◦10.2Mirfak 308◦33.0 49◦56.0

Aldebaran 290◦43.4 16◦33.0Rigel 281◦07.1 -8◦10.8

Capella 280◦26.8 46◦01.2Bellatrix 278◦26.4 6◦22.0Elnath 278◦06.0 28◦37.5Alnilam 275◦41.1 -1◦11.4

Betelgeuse 270◦55.6 7◦24.5Canopus 263◦54.2 -52◦42.6

Sirius 258◦29.0 -16◦44.7Adara 255◦08.5 -29◦00.3

Procyon 244◦54.1 5◦10.3Pollux 243◦21.1 27◦58.5Avior 234◦16.2 -59◦34.9Suhail 222◦48.6 -43◦31.3

Miaplacidus 221◦39.0 -69◦48.5Alphard 217◦50.7 -8◦45.1Regulus 207◦37.6 11◦51.8Dubhe 193◦44.6 61◦38.5

Denebola 182◦27.8 14◦27.3Gienah 175◦46.4 -17◦39.7Acrux 173◦02.9 -63◦13.2

Gacrux 171◦54.5 -57◦14.1Alioth 166◦15.3 55◦50.9Spica 158◦25.2 -11◦16.3Alcaid 152◦54.0 49◦12.6Hadar 148◦39.6 -60◦28.6

Menkent 148◦00.8 -36◦28.5Arcturus 145◦50.2 19◦04.7

Rigil Kent. 139◦43.7 -60◦55.4Zubenelg. 136◦59.0 -16◦07.8Kochab 137◦18.7 74◦04.2

Alphecca 126◦05.9 26◦38.6Antares 112◦19.1 -26◦28.7

Atria 107◦15.5 -69◦03.8Sabik 102◦05.9 -15◦45.0

Shaula 96◦14.0 -37◦07.0Rasalhague 96◦01.0 12◦32.7

Etamin 90◦43.1 51◦29.0Kaus Aust. 83◦36.1 -34◦22.3

Vega 80◦34.9 38◦48.0Nunki 75◦51.2 -26◦16.1Altair 62◦02.8 8◦55.3

Peacock 53◦10.2 -56◦39.8Deneb 49◦27.6 45◦21.1

Enif 33◦41.7 9◦58.2Alnair 27◦36.8 -46◦51.3

Fomalhaut 15◦18.0 -29◦30.5Scheat 13◦48.2 28◦11.6Markab 13◦33.0 15◦19.0

2021/5/1 SHA Mer.passVenus 289◦21.7 12:56Mars 252◦57.9 15:20

Jupiter 27◦06.6 06:23Saturn 43◦50.8 05:16

2021/5/2 SHA Mer.passVenus 288◦02.9 12:57Mars 252◦18.1 15:18

Jupiter 27◦00.9 06:20Saturn 43◦50.3 05:12

2021/5/2 SHA Mer.passVenus 286◦43.9 12:58Mars 251◦38.3 15:17

Jupiter 26◦55.4 06:16Saturn 43◦50.0 05:08

Horizontal paralaxVenus: 0.1Mars: 0.1

94

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2021 May 19 to May. 21

h Sun MoonWed GHA Dec GHA ν Dec d HP0 180◦52.9 19◦46.1 94◦15.5 10.7 19◦54.3 -9.1 56.51 195◦52.9 19◦46.7 108◦45.3 10.7 19◦45.1 -9.2 56.52 210◦52.8 19◦47.2 123◦15.0 10.8 19◦35.8 -9.3 56.63 225◦52.8 19◦47.7 137◦44.8 10.8 19◦26.4 -9.5 56.64 240◦52.8 19◦48.3 152◦14.6 10.8 19◦16.9 -9.6 56.65 255◦52.7 19◦48.8 166◦44.4 10.8 19◦07.3 -9.7 56.76 270◦52.7 19◦49.3 181◦14.2 10.9 18◦57.6 -9.8 56.77 285◦52.7 19◦49.9 195◦44.1 10.9 18◦47.8 -9.9 56.78 300◦52.6 19◦50.4 210◦14.0 10.9 18◦37.8 -10.0 56.89 315◦52.6 19◦50.9 224◦44.0 10.9 18◦27.8 -10.1 56.810 330◦52.6 19◦51.5 239◦13.9 11.0 18◦17.7 -10.2 56.811 345◦52.5 19◦52.0 253◦43.9 11.0 18◦07.4 -10.3 56.912 0◦52.5 19◦52.5 268◦13.9 11.0 17◦57.1 -10.4 56.913 15◦52.5 19◦53.1 282◦43.9 11.0 17◦46.6 -10.5 56.914 30◦52.4 19◦53.6 297◦14.0 11.1 17◦36.1 -10.6 57.015 45◦52.4 19◦54.1 311◦44.1 11.1 17◦25.4 -10.7 57.016 60◦52.4 19◦54.6 326◦14.2 11.1 17◦14.7 -10.8 57.017 75◦52.3 19◦55.2 340◦44.3 11.1 17◦03.8 -10.9 57.118 90◦52.3 19◦55.7 355◦14.5 11.2 16◦52.9 -11.0 57.119 105◦52.3 19◦56.2 9◦44.6 11.2 16◦41.8 -11.1 57.120 120◦52.2 19◦56.7 24◦14.8 11.2 16◦30.7 -11.2 57.221 135◦52.2 19◦57.3 38◦45.0 11.2 16◦19.4 -11.3 57.222 150◦52.2 19◦57.8 53◦15.3 11.3 16◦08.1 -11.4 57.223 165◦52.1 19◦58.3 67◦45.6 11.3 15◦56.7 -11.5 57.3

SD.=15.8 d=0.5 S.D.=15.4

Thu GHA Dec GHA ν Dec d HP0 180◦52.1 19◦58.8 82◦15.8 11.3 15◦45.2 -11.6 57.31 195◦52.1 19◦59.3 96◦46.1 11.3 15◦33.5 -11.7 57.42 210◦52.0 19◦59.9 111◦16.5 11.3 15◦21.8 -11.8 57.43 225◦52.0 20◦00.4 125◦46.8 11.4 15◦10.0 -11.8 57.44 240◦52.0 20◦00.9 140◦17.2 11.4 14◦58.1 -11.9 57.55 255◦51.9 20◦01.4 154◦47.6 11.4 14◦46.2 -12.0 57.56 270◦51.9 20◦01.9 169◦18.0 11.4 14◦34.1 -12.1 57.57 285◦51.8 20◦02.5 183◦48.4 11.4 14◦21.9 -12.2 57.68 300◦51.8 20◦03.0 198◦18.8 11.4 14◦09.7 -12.3 57.69 315◦51.8 20◦03.5 212◦49.3 11.5 13◦57.3 -12.4 57.610 330◦51.7 20◦04.0 227◦19.8 11.5 13◦44.9 -12.5 57.711 345◦51.7 20◦04.5 241◦50.2 11.5 13◦32.4 -12.5 57.712 0◦51.7 20◦05.0 256◦20.7 11.5 13◦19.8 -12.6 57.813 15◦51.6 20◦05.5 270◦51.3 11.5 13◦07.2 -12.7 57.814 30◦51.6 20◦06.1 285◦21.8 11.5 12◦54.4 -12.8 57.815 45◦51.5 20◦06.6 299◦52.3 11.5 12◦41.6 -12.9 57.916 60◦51.5 20◦07.1 314◦22.9 11.6 12◦28.7 -13.0 57.917 75◦51.5 20◦07.6 328◦53.4 11.6 12◦15.7 -13.0 57.918 90◦51.4 20◦08.1 343◦24.0 11.6 12◦02.6 -13.1 58.019 105◦51.4 20◦08.6 357◦54.6 11.6 11◦49.4 -13.2 58.020 120◦51.3 20◦09.1 12◦25.2 11.6 11◦36.2 -13.3 58.121 135◦51.3 20◦09.6 26◦55.8 11.6 11◦22.9 -13.3 58.122 150◦51.3 20◦10.1 41◦26.4 11.6 11◦09.5 -13.4 58.123 165◦51.2 20◦10.7 55◦57.0 11.6 10◦56.1 -13.5 58.2

SD.=15.8 d=0.5 S.D.=15.6

Fri GHA Dec GHA ν Dec d HP0 180◦51.2 20◦11.2 70◦27.6 11.6 10◦42.6 -13.6 58.21 195◦51.1 20◦11.7 84◦58.2 11.6 10◦29.0 -13.6 58.22 210◦51.1 20◦12.2 99◦28.9 11.6 10◦15.3 -13.7 58.33 225◦51.1 20◦12.7 113◦59.5 11.6 10◦01.5 -13.8 58.34 240◦51.0 20◦13.2 128◦30.1 11.6 9◦47.7 -13.8 58.45 255◦51.0 20◦13.7 143◦00.8 11.6 9◦33.9 -13.9 58.46 270◦50.9 20◦14.2 157◦31.4 11.6 9◦19.9 -14.0 58.47 285◦50.9 20◦14.7 172◦02.0 11.6 9◦05.9 -14.0 58.58 300◦50.9 20◦15.2 186◦32.7 11.6 8◦51.8 -14.1 58.59 315◦50.8 20◦15.7 201◦03.3 11.6 8◦37.7 -14.2 58.510 330◦50.8 20◦16.2 215◦33.9 11.6 8◦23.5 -14.2 58.611 345◦50.7 20◦16.7 230◦04.5 11.6 8◦09.2 -14.3 58.612 0◦50.7 20◦17.2 244◦35.2 11.6 7◦54.9 -14.4 58.713 15◦50.6 20◦17.7 259◦05.8 11.6 7◦40.5 -14.4 58.714 30◦50.6 20◦18.2 273◦36.4 11.6 7◦26.1 -14.5 58.715 45◦50.6 20◦18.7 288◦07.0 11.6 7◦11.6 -14.5 58.816 60◦50.5 20◦19.2 302◦37.6 11.6 6◦57.0 -14.6 58.817 75◦50.5 20◦19.7 317◦08.2 11.6 6◦42.4 -14.6 58.918 90◦50.4 20◦20.2 331◦38.7 11.6 6◦27.8 -14.7 58.919 105◦50.4 20◦20.7 346◦09.3 11.6 6◦13.1 -14.7 58.920 120◦50.3 20◦21.2 0◦39.8 11.5 5◦58.3 -14.8 59.021 135◦50.3 20◦21.7 15◦10.4 11.5 5◦43.5 -14.8 59.022 150◦50.2 20◦22.2 29◦40.9 11.5 5◦28.6 -14.9 59.023 165◦50.2 20◦22.7 44◦11.4 11.5 5◦13.7 -14.9 59.1

SD.=15.8 d=0.5 S.D.=15.9

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 –:– –:– –:– –:– –:– –:–70 –:– –:– –:– –:– –:– –:–68 –:– –:– 01:15 22:44 –:– –:–66 –:– –:– 02:01 21:55 –:– –:–64 –:– 00:06 02:31 21:25 –:– –:–62 –:– 01:28 02:53 21:02 22:29 –:–60 –:– 02:02 03:11 20:44 21:53 –:–58 00:05 02:27 03:26 20:29 21:28 –:–56 01:20 02:46 03:38 20:16 21:09 22:3754 01:51 03:02 03:49 20:05 20:53 22:0452 02:14 03:15 03:59 19:55 20:39 21:4150 02:32 03:27 04:07 19:46 20:27 21:2245 03:06 03:51 04:26 19:28 20:03 20:4840 03:31 04:09 04:40 19:13 19:44 20:2335 03:50 04:25 04:53 19:01 19:29 20:0430 04:05 04:37 05:04 18:50 19:16 19:4820 04:30 04:58 05:22 18:31 18:55 19:2310 04:49 05:16 05:38 18:15 18:38 19:040 05:05 05:31 05:53 18:00 18:22 18:48-10 05:20 05:45 06:08 17:45 18:08 18:33-20 05:33 05:60 06:23 17:30 17:53 18:20-30 05:46 06:15 06:41 17:12 17:37 18:07-35 05:53 06:24 06:51 17:02 17:29 17:60-40 06:00 06:34 07:03 16:50 17:19 17:52-45 06:08 06:44 07:17 16:36 17:08 17:44-50 06:17 06:57 07:34 16:19 16:55 17:35-52 06:21 07:03 07:41 16:11 16:50 17:31-54 06:25 07:09 07:50 16:02 16:43 17:27-56 06:30 07:17 08:00 15:52 16:36 17:23-58 06:35 07:24 08:11 15:41 16:28 17:18-60 06:40 07:33 08:24 15:28 16:19 17:12

Moonrise MoonsetLat. Wed Thu Fri Wed Thu Fri72 –:– 09:35 12:03 –:– 04:17 03:3370 07:27 10:04 12:15 04:39 03:46 03:1868 08:17 10:25 12:25 03:49 03:23 03:0666 08:48 10:42 12:33 03:17 03:05 02:5664 09:11 10:55 12:39 02:53 02:51 02:4862 09:29 11:07 12:45 02:34 02:38 02:4060 09:44 11:16 12:50 02:18 02:28 02:3458 09:56 11:25 12:55 02:05 02:18 02:2856 10:07 11:32 12:58 01:53 02:10 02:2354 10:17 11:38 13:02 01:43 02:03 02:1952 10:25 11:44 13:05 01:34 01:56 02:1550 10:33 11:49 13:08 01:26 01:50 02:1145 10:49 12:01 13:14 01:09 01:38 02:0340 11:02 12:10 13:19 00:54 01:27 01:5635 11:13 12:18 13:24 00:42 01:18 01:5030 11:23 12:25 13:28 00:31 01:10 01:4520 11:40 12:37 13:34 00:13 00:55 01:3610 11:54 12:47 13:40 –:– 00:43 01:280 12:08 12:57 13:46 –:– 00:31 01:20-10 12:21 13:07 13:51 –:– 00:20 01:13-20 12:36 13:17 13:57 –:– 00:07 01:04-30 12:52 13:29 14:04 23:53 –:– 00:55-35 13:02 13:36 14:07 23:44 –:– 00:49-40 13:12 13:43 14:12 23:34 –:– 00:43-45 13:25 13:52 14:17 23:23 –:– 00:35-50 13:40 14:03 14:23 23:09 –:– 00:27-52 13:48 14:08 14:25 23:02 –:– 00:22-54 13:56 14:13 14:28 22:55 –:– 00:18-56 14:04 14:19 14:31 22:47 –:– 00:13-58 14:14 14:26 14:35 22:38 –:– 00:07-60 14:26 14:33 14:39 22:27 –:– 00:01

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower19 03:32 03:30 11:56 18:19 05:54 8(47%)20 03:28 03:27 11:56 19:08 06:44 9(58%)21 03:25 03:23 11:56 19:57 07:32 10(68%)

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May 22, 23 ,24 (Sat., Sun., Mon.)Aries Venus Mars Jupiter Saturn

Sat GHA GHA Dec GHA Dec GHA Dec GHA Dec0 239◦50.4 165◦15.2 23◦11.4 130◦49.0 23◦41.4 266◦40.5 -11◦57.6 283◦40.2 -17◦22.01 254◦52.9 180◦14.3 23◦11.8 145◦49.8 23◦41.2 281◦42.8 -11◦57.5 298◦42.7 -17◦22.02 269◦55.4 195◦13.5 23◦12.2 160◦50.6 23◦41.0 296◦45.0 -11◦57.5 313◦45.1 -17◦22.03 284◦57.8 210◦12.7 23◦12.6 175◦51.4 23◦40.8 311◦47.3 -11◦57.4 328◦47.6 -17◦22.04 300◦00.3 225◦11.8 23◦13.1 190◦52.2 23◦40.6 326◦49.5 -11◦57.3 343◦50.1 -17◦22.05 315◦02.8 240◦11.0 23◦13.5 205◦53.0 23◦40.4 341◦51.8 -11◦57.3 358◦52.5 -17◦22.06 330◦05.2 255◦10.1 23◦13.9 220◦53.8 23◦40.2 356◦54.0 -11◦57.2 13◦55.0 -17◦22.17 345◦07.7 270◦09.3 23◦14.3 235◦54.6 23◦40.0 11◦56.3 -11◦57.1 28◦57.4 -17◦22.18 0◦10.2 285◦08.4 23◦14.7 250◦55.5 23◦39.8 26◦58.5 -11◦57.1 43◦59.9 -17◦22.19 15◦12.6 300◦07.6 23◦15.1 265◦56.3 23◦39.6 42◦00.8 -11◦57.0 59◦02.4 -17◦22.110 30◦15.1 315◦06.8 23◦15.5 280◦57.1 23◦39.3 57◦03.0 -11◦56.9 74◦04.8 -17◦22.111 45◦17.5 330◦05.9 23◦16.0 295◦57.9 23◦39.1 72◦05.3 -11◦56.9 89◦07.3 -17◦22.112 60◦20.0 345◦05.1 23◦16.4 310◦58.7 23◦38.9 87◦07.5 -11◦56.8 104◦09.7 -17◦22.113 75◦22.5 0◦04.2 23◦16.8 325◦59.5 23◦38.7 102◦09.8 -11◦56.7 119◦12.2 -17◦22.114 90◦24.9 15◦03.4 23◦17.2 341◦00.3 23◦38.5 117◦12.0 -11◦56.6 134◦14.6 -17◦22.115 105◦27.4 30◦02.5 23◦17.6 356◦01.1 23◦38.3 132◦14.2 -11◦56.6 149◦17.1 -17◦22.116 120◦29.9 45◦01.7 23◦18.0 11◦01.9 23◦38.1 147◦16.5 -11◦56.5 164◦19.6 -17◦22.117 135◦32.3 60◦00.9 23◦18.4 26◦02.7 23◦37.9 162◦18.7 -11◦56.4 179◦22.0 -17◦22.118 150◦34.8 75◦00.0 23◦18.8 41◦03.6 23◦37.7 177◦21.0 -11◦56.4 194◦24.5 -17◦22.119 165◦37.3 89◦59.2 23◦19.2 56◦04.4 23◦37.5 192◦23.2 -11◦56.3 209◦26.9 -17◦22.120 180◦39.7 104◦58.3 23◦19.6 71◦05.2 23◦37.2 207◦25.5 -11◦56.2 224◦29.4 -17◦22.121 195◦42.2 119◦57.5 23◦20.0 86◦06.0 23◦37.0 222◦27.8 -11◦56.2 239◦31.9 -17◦22.122 210◦44.6 134◦56.6 23◦20.4 101◦06.8 23◦36.8 237◦30.0 -11◦56.1 254◦34.3 -17◦22.123 225◦47.1 149◦55.8 23◦20.8 116◦07.6 23◦36.6 252◦32.3 -11◦56.0 269◦36.8 -17◦22.1Mer.pass.:7:59: v-0.8 d0.4 m-3.8 v0.8 d-0.2 m1.7 v2.2 d0.1 m-2.2 v2.5 d-0.0 m0.6

Sun GHA GHA Dec GHA Dec GHA Dec GHA Dec0 240◦49.6 164◦54.9 23◦21.2 131◦08.4 23◦36.4 267◦34.5 -11◦56.0 284◦39.2 -17◦22.11 255◦52.0 179◦54.1 23◦21.6 146◦09.2 23◦36.2 282◦36.8 -11◦55.9 299◦41.7 -17◦22.12 270◦54.5 194◦53.3 23◦22.0 161◦10.0 23◦36.0 297◦39.0 -11◦55.8 314◦44.2 -17◦22.23 285◦57.0 209◦52.4 23◦22.4 176◦10.8 23◦35.8 312◦41.3 -11◦55.8 329◦46.6 -17◦22.24 300◦59.4 224◦51.6 23◦22.8 191◦11.6 23◦35.5 327◦43.5 -11◦55.7 344◦49.1 -17◦22.25 316◦01.9 239◦50.7 23◦23.2 206◦12.5 23◦35.3 342◦45.8 -11◦55.6 359◦51.5 -17◦22.26 331◦04.4 254◦49.9 23◦23.6 221◦13.3 23◦35.1 357◦48.0 -11◦55.6 14◦54.0 -17◦22.27 346◦06.8 269◦49.0 23◦23.9 236◦14.1 23◦34.9 12◦50.3 -11◦55.5 29◦56.5 -17◦22.28 1◦09.3 284◦48.2 23◦24.3 251◦14.9 23◦34.7 27◦52.5 -11◦55.4 44◦58.9 -17◦22.29 16◦11.8 299◦47.3 23◦24.7 266◦15.7 23◦34.5 42◦54.8 -11◦55.4 60◦01.4 -17◦22.210 31◦14.2 314◦46.5 23◦25.1 281◦16.5 23◦34.3 57◦57.0 -11◦55.3 75◦03.9 -17◦22.211 46◦16.7 329◦45.6 23◦25.5 296◦17.3 23◦34.0 72◦59.3 -11◦55.2 90◦06.3 -17◦22.212 61◦19.1 344◦44.8 23◦25.9 311◦18.1 23◦33.8 88◦01.5 -11◦55.2 105◦08.8 -17◦22.213 76◦21.6 359◦43.9 23◦26.2 326◦18.9 23◦33.6 103◦03.8 -11◦55.1 120◦11.2 -17◦22.214 91◦24.1 14◦43.1 23◦26.6 341◦19.8 23◦33.4 118◦06.1 -11◦55.0 135◦13.7 -17◦22.215 106◦26.5 29◦42.2 23◦27.0 356◦20.6 23◦33.2 133◦08.3 -11◦55.0 150◦16.2 -17◦22.216 121◦29.0 44◦41.4 23◦27.4 11◦21.4 23◦33.0 148◦10.6 -11◦54.9 165◦18.6 -17◦22.217 136◦31.5 59◦40.5 23◦27.8 26◦22.2 23◦32.7 163◦12.8 -11◦54.8 180◦21.1 -17◦22.218 151◦33.9 74◦39.7 23◦28.1 41◦23.0 23◦32.5 178◦15.1 -11◦54.8 195◦23.6 -17◦22.219 166◦36.4 89◦38.8 23◦28.5 56◦23.8 23◦32.3 193◦17.3 -11◦54.7 210◦26.0 -17◦22.220 181◦38.9 104◦38.0 23◦28.9 71◦24.6 23◦32.1 208◦19.6 -11◦54.6 225◦28.5 -17◦22.321 196◦41.3 119◦37.1 23◦29.3 86◦25.4 23◦31.9 223◦21.9 -11◦54.6 240◦31.0 -17◦22.322 211◦43.8 134◦36.3 23◦29.6 101◦26.2 23◦31.6 238◦24.1 -11◦54.5 255◦33.4 -17◦22.323 226◦46.3 149◦35.4 23◦30.0 116◦27.1 23◦31.4 253◦26.4 -11◦54.4 270◦35.9 -17◦22.3Mer.pass.:7:55: v-0.8 d0.4 m-3.8 v0.8 d-0.2 m1.7 v2.3 d0.1 m-2.2 v2.5 d-0.0 m0.6

Mon GHA GHA Dec GHA Dec GHA Dec GHA Dec0 241◦48.7 164◦34.6 23◦30.4 131◦27.9 23◦31.2 268◦28.6 -11◦54.4 285◦38.3 -17◦22.31 256◦51.2 179◦33.7 23◦30.7 146◦28.7 23◦31.0 283◦30.9 -11◦54.3 300◦40.8 -17◦22.32 271◦53.6 194◦32.8 23◦31.1 161◦29.5 23◦30.8 298◦33.1 -11◦54.2 315◦43.3 -17◦22.33 286◦56.1 209◦32.0 23◦31.5 176◦30.3 23◦30.6 313◦35.4 -11◦54.2 330◦45.7 -17◦22.34 301◦58.6 224◦31.1 23◦31.8 191◦31.1 23◦30.3 328◦37.7 -11◦54.1 345◦48.2 -17◦22.35 317◦01.0 239◦30.3 23◦32.2 206◦31.9 23◦30.1 343◦39.9 -11◦54.0 0◦50.7 -17◦22.36 332◦03.5 254◦29.4 23◦32.5 221◦32.7 23◦29.9 358◦42.2 -11◦54.0 15◦53.1 -17◦22.37 347◦06.0 269◦28.6 23◦32.9 236◦33.6 23◦29.7 13◦44.4 -11◦53.9 30◦55.6 -17◦22.38 2◦08.4 284◦27.7 23◦33.3 251◦34.4 23◦29.4 28◦46.7 -11◦53.9 45◦58.1 -17◦22.39 17◦10.9 299◦26.9 23◦33.6 266◦35.2 23◦29.2 43◦49.0 -11◦53.8 61◦00.5 -17◦22.310 32◦13.4 314◦26.0 23◦34.0 281◦36.0 23◦29.0 58◦51.2 -11◦53.7 76◦03.0 -17◦22.311 47◦15.8 329◦25.2 23◦34.3 296◦36.8 23◦28.8 73◦53.5 -11◦53.7 91◦05.5 -17◦22.412 62◦18.3 344◦24.3 23◦34.7 311◦37.6 23◦28.6 88◦55.7 -11◦53.6 106◦07.9 -17◦22.413 77◦20.7 359◦23.4 23◦35.0 326◦38.4 23◦28.3 103◦58.0 -11◦53.5 121◦10.4 -17◦22.414 92◦23.2 14◦22.6 23◦35.4 341◦39.2 23◦28.1 119◦00.3 -11◦53.5 136◦12.9 -17◦22.415 107◦25.7 29◦21.7 23◦35.7 356◦40.1 23◦27.9 134◦02.5 -11◦53.4 151◦15.3 -17◦22.416 122◦28.1 44◦20.9 23◦36.1 11◦40.9 23◦27.7 149◦04.8 -11◦53.3 166◦17.8 -17◦22.417 137◦30.6 59◦20.0 23◦36.4 26◦41.7 23◦27.4 164◦07.1 -11◦53.3 181◦20.3 -17◦22.418 152◦33.1 74◦19.2 23◦36.8 41◦42.5 23◦27.2 179◦09.3 -11◦53.2 196◦22.7 -17◦22.419 167◦35.5 89◦18.3 23◦37.1 56◦43.3 23◦27.0 194◦11.6 -11◦53.1 211◦25.2 -17◦22.420 182◦38.0 104◦17.4 23◦37.5 71◦44.1 23◦26.8 209◦13.9 -11◦53.1 226◦27.7 -17◦22.421 197◦40.5 119◦16.6 23◦37.8 86◦44.9 23◦26.5 224◦16.1 -11◦53.0 241◦30.1 -17◦22.422 212◦42.9 134◦15.7 23◦38.2 101◦45.7 23◦26.3 239◦18.4 -11◦53.0 256◦32.6 -17◦22.423 227◦45.4 149◦14.9 23◦38.5 116◦46.6 23◦26.1 254◦20.6 -11◦52.9 271◦35.1 -17◦22.4Mer.pass.:7:51: v-0.9 d0.4 m-3.8 v0.8 d-0.2 m1.7 v2.3 d0.1 m-2.2 v2.5 d-0.0 m0.6

StarsSHA Dec

Alpheratz 357◦38.0 29◦12.2Ankaa 353◦10.4 -42◦11.4

Schedar 349◦34.7 56◦38.9Diphda 348◦50.4 -17◦52.3

Achernar 335◦23.0 -57◦07.7Hamal 327◦54.9 23◦33.6Polaris 315◦52.4 89◦21.1Akamar 315◦14.5 -40◦13.2Menkar 314◦09.6 4◦10.2Mirfak 308◦33.0 49◦56.0

Aldebaran 290◦43.4 16◦33.0Rigel 281◦07.1 -8◦10.8

Capella 280◦26.8 46◦01.2Bellatrix 278◦26.4 6◦22.0Elnath 278◦06.0 28◦37.5Alnilam 275◦41.1 -1◦11.4

Betelgeuse 270◦55.6 7◦24.6Canopus 263◦54.2 -52◦42.6

Sirius 258◦29.0 -16◦44.7Adara 255◦08.5 -29◦00.2

Procyon 244◦54.1 5◦10.3Pollux 243◦21.1 27◦58.5Avior 234◦16.2 -59◦34.9Suhail 222◦48.6 -43◦31.3

Miaplacidus 221◦39.0 -69◦48.5Alphard 217◦50.7 -8◦45.1Regulus 207◦37.6 11◦51.8Dubhe 193◦44.6 61◦38.5

Denebola 182◦27.8 14◦27.3Gienah 175◦46.4 -17◦39.7Acrux 173◦02.9 -63◦13.2

Gacrux 171◦54.5 -57◦14.1Alioth 166◦15.3 55◦50.9Spica 158◦25.2 -11◦16.3Alcaid 152◦54.0 49◦12.6Hadar 148◦39.6 -60◦28.6

Menkent 148◦00.8 -36◦28.5Arcturus 145◦50.2 19◦04.7

Rigil Kent. 139◦43.7 -60◦55.4Zubenelg. 136◦59.0 -16◦07.8Kochab 137◦18.7 74◦04.2

Alphecca 126◦05.9 26◦38.6Antares 112◦19.1 -26◦28.7

Atria 107◦15.4 -69◦03.8Sabik 102◦05.9 -15◦45.0

Shaula 96◦14.0 -37◦07.0Rasalhague 96◦01.0 12◦32.7

Etamin 90◦43.1 51◦29.0Kaus Aust. 83◦36.1 -34◦22.3

Vega 80◦34.9 38◦48.0Nunki 75◦51.2 -26◦16.1Altair 62◦02.7 8◦55.3

Peacock 53◦10.2 -56◦39.8Deneb 49◦27.6 45◦21.1

Enif 33◦41.7 9◦58.2Alnair 27◦36.7 -46◦51.3

Fomalhaut 15◦18.0 -29◦30.5Scheat 13◦48.2 28◦11.6Markab 13◦32.9 15◦19.0

2021/5/2 SHA Mer.passVenus 285◦24.7 12:60Mars 250◦58.6 15:16

Jupiter 26◦50.1 06:12Saturn 43◦49.8 05:04

2021/5/2 SHA Mer.passVenus 284◦05.4 13:01Mars 250◦18.8 15:15

Jupiter 26◦44.9 06:09Saturn 43◦49.7 05:01

2021/5/2 SHA Mer.passVenus 282◦45.8 13:02Mars 249◦39.2 15:13

Jupiter 26◦39.9 06:05Saturn 43◦49.6 04:57

Horizontal paralaxVenus: 0.1Mars: 0.1

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2021 May 22 to May. 24

h Sun MoonSat GHA Dec GHA ν Dec d HP0 180◦50.1 20◦23.2 58◦41.9 11.5 4◦58.7 -15.0 59.11 195◦50.1 20◦23.6 73◦12.3 11.5 4◦43.7 -15.0 59.22 210◦50.1 20◦24.1 87◦42.8 11.4 4◦28.7 -15.1 59.23 225◦50.0 20◦24.6 102◦13.2 11.4 4◦13.6 -15.1 59.24 240◦50.0 20◦25.1 116◦43.6 11.4 3◦58.4 -15.2 59.35 255◦49.9 20◦25.6 131◦14.0 11.4 3◦43.2 -15.2 59.36 270◦49.9 20◦26.1 145◦44.4 11.3 3◦28.0 -15.2 59.37 285◦49.8 20◦26.6 160◦14.7 11.3 3◦12.8 -15.3 59.48 300◦49.8 20◦27.1 174◦45.0 11.3 2◦57.5 -15.3 59.49 315◦49.7 20◦27.6 189◦15.3 11.3 2◦42.2 -15.3 59.410 330◦49.7 20◦28.0 203◦45.5 11.2 2◦26.8 -15.4 59.511 345◦49.6 20◦28.5 218◦15.8 11.2 2◦11.4 -15.4 59.512 0◦49.6 20◦29.0 232◦46.0 11.2 1◦56.0 -15.4 59.613 15◦49.5 20◦29.5 247◦16.1 11.1 1◦40.5 -15.5 59.614 30◦49.5 20◦30.0 261◦46.3 11.1 1◦25.0 -15.5 59.615 45◦49.4 20◦30.5 276◦16.4 11.1 1◦09.5 -15.5 59.716 60◦49.4 20◦31.0 290◦46.4 11.0 0◦54.0 -15.5 59.717 75◦49.3 20◦31.4 305◦16.5 11.0 0◦38.4 -15.6 59.718 90◦49.3 20◦31.9 319◦46.4 11.0 0◦22.8 -15.6 59.819 105◦49.2 20◦32.4 334◦16.4 10.9 0◦07.2 -15.6 59.820 120◦49.2 20◦32.9 348◦46.3 10.9 -0◦08.4 -15.6 59.821 135◦49.1 20◦33.4 3◦16.2 10.9 -0◦24.0 -15.7 59.922 150◦49.1 20◦33.8 17◦46.0 10.8 -0◦39.7 -15.7 59.923 165◦49.0 20◦34.3 32◦15.8 10.8 -0◦55.4 -15.7 59.9

SD.=15.8 d=0.5 S.D.=16.1

Sun GHA Dec GHA ν Dec d HP0 180◦49.0 20◦34.8 46◦45.6 10.7 -1◦11.0 -15.7 60.01 195◦48.9 20◦35.3 61◦15.3 10.7 -1◦26.7 -15.7 60.02 210◦48.9 20◦35.7 75◦44.9 10.6 -1◦42.5 -15.7 60.03 225◦48.8 20◦36.2 90◦14.5 10.6 -1◦58.2 -15.7 60.14 240◦48.8 20◦36.7 104◦44.1 10.5 -2◦13.9 -15.7 60.15 255◦48.7 20◦37.2 119◦13.6 10.5 -2◦29.6 -15.7 60.16 270◦48.7 20◦37.6 133◦43.1 10.4 -2◦45.4 -15.7 60.27 285◦48.6 20◦38.1 148◦12.5 10.4 -3◦01.1 -15.7 60.28 300◦48.6 20◦38.6 162◦41.8 10.3 -3◦16.8 -15.7 60.29 315◦48.5 20◦39.1 177◦11.1 10.3 -3◦32.6 -15.7 60.310 330◦48.5 20◦39.5 191◦40.4 10.2 -3◦48.3 -15.7 60.311 345◦48.4 20◦40.0 206◦09.6 10.2 -4◦04.1 -15.7 60.312 0◦48.3 20◦40.5 220◦38.7 10.1 -4◦19.8 -15.7 60.413 15◦48.3 20◦40.9 235◦07.8 10.0 -4◦35.5 -15.7 60.414 30◦48.2 20◦41.4 249◦36.8 10.0 -4◦51.2 -15.7 60.415 45◦48.2 20◦41.9 264◦05.7 9.9 -5◦06.9 -15.7 60.416 60◦48.1 20◦42.4 278◦34.6 9.9 -5◦22.6 -15.7 60.517 75◦48.1 20◦42.8 293◦03.5 9.8 -5◦38.3 -15.7 60.518 90◦48.0 20◦43.3 307◦32.2 9.7 -5◦53.9 -15.6 60.519 105◦48.0 20◦43.8 322◦00.9 9.7 -6◦09.6 -15.6 60.620 120◦47.9 20◦44.2 336◦29.6 9.6 -6◦25.2 -15.6 60.621 135◦47.9 20◦44.7 350◦58.1 9.5 -6◦40.8 -15.6 60.622 150◦47.8 20◦45.1 5◦26.6 9.5 -6◦56.4 -15.6 60.623 165◦47.7 20◦45.6 19◦55.0 9.4 -7◦11.9 -15.5 60.7

SD.=15.8 d=0.5 S.D.=16.4

Mon GHA Dec GHA ν Dec d HP0 180◦47.7 20◦46.1 34◦23.4 9.3 -7◦27.4 -15.5 60.71 195◦47.6 20◦46.5 48◦51.7 9.3 -7◦42.9 -15.5 60.72 210◦47.6 20◦47.0 63◦19.9 9.2 -7◦58.4 -15.4 60.73 225◦47.5 20◦47.5 77◦48.0 9.1 -8◦13.8 -15.4 60.84 240◦47.5 20◦47.9 92◦16.1 9.0 -8◦29.2 -15.4 60.85 255◦47.4 20◦48.4 106◦44.1 9.0 -8◦44.5 -15.3 60.86 270◦47.3 20◦48.8 121◦12.0 8.9 -8◦59.8 -15.3 60.87 285◦47.3 20◦49.3 135◦39.9 8.8 -9◦15.1 -15.2 60.98 300◦47.2 20◦49.8 150◦07.6 8.7 -9◦30.3 -15.2 60.99 315◦47.2 20◦50.2 164◦35.3 8.6 -9◦45.5 -15.2 60.910 330◦47.1 20◦50.7 179◦02.9 8.6 -10◦00.7 -15.1 60.911 345◦47.1 20◦51.1 193◦30.4 8.5 -10◦15.7 -15.1 60.912 0◦47.0 20◦51.6 207◦57.9 8.4 -10◦30.8 -15.0 61.013 15◦46.9 20◦52.0 222◦25.2 8.3 -10◦45.8 -15.0 61.014 30◦46.9 20◦52.5 236◦52.5 8.2 -11◦00.7 -14.9 61.015 45◦46.8 20◦52.9 251◦19.7 8.1 -11◦15.6 -14.8 61.016 60◦46.8 20◦53.4 265◦46.8 8.1 -11◦30.4 -14.8 61.017 75◦46.7 20◦53.9 280◦13.8 8.0 -11◦45.1 -14.7 61.118 90◦46.6 20◦54.3 294◦40.7 7.9 -11◦59.8 -14.7 61.119 105◦46.6 20◦54.8 309◦07.6 7.8 -12◦14.4 -14.6 61.120 120◦46.5 20◦55.2 323◦34.3 7.7 -12◦29.0 -14.5 61.121 135◦46.5 20◦55.7 338◦01.0 7.6 -12◦43.4 -14.4 61.122 150◦46.4 20◦56.1 352◦27.6 7.5 -12◦57.9 -14.4 61.123 165◦46.3 20◦56.6 6◦54.1 7.4 -13◦12.2 -14.3 61.2

SD.=15.8 d=0.5 S.D.=16.6

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 –:– –:– –:– –:– –:– –:–70 –:– –:– –:– –:– –:– –:–68 –:– –:– 00:52 23:10 –:– –:–66 –:– –:– 01:49 22:08 –:– –:–64 –:– –:– 02:22 21:34 –:– –:–62 –:– 01:14 02:46 21:10 22:45 –:–60 –:– 01:53 03:05 20:50 22:03 –:–58 –:– 02:20 03:20 20:35 21:36 –:–56 01:07 02:40 03:34 20:21 21:15 22:5154 01:43 02:57 03:45 20:10 20:58 22:1352 02:07 03:11 03:55 19:59 20:44 21:4850 02:27 03:23 04:04 19:50 20:32 21:2845 03:02 03:48 04:23 19:31 20:07 20:5240 03:28 04:07 04:38 19:16 19:47 20:2735 03:48 04:23 04:51 19:03 19:31 20:0730 04:04 04:36 05:02 18:51 19:18 19:5020 04:29 04:57 05:21 18:32 18:56 19:2510 04:49 05:15 05:38 18:16 18:38 19:050 05:05 05:31 05:53 18:00 18:22 18:48-10 05:20 05:46 06:08 17:45 18:08 18:33-20 05:34 06:01 06:24 17:29 17:52 18:19-30 05:48 06:17 06:43 17:11 17:36 18:06-35 05:55 06:26 06:53 16:60 17:27 17:58-40 06:03 06:36 07:06 16:48 17:17 17:51-45 06:11 06:47 07:20 16:33 17:06 17:42-50 06:20 07:01 07:37 16:16 16:53 17:33-52 06:25 07:07 07:46 16:08 16:46 17:29-54 06:29 07:13 07:55 15:58 16:40 17:24-56 06:34 07:21 08:05 15:48 16:32 17:19-58 06:39 07:29 08:17 15:36 16:24 17:14-60 06:45 07:38 08:31 15:22 16:15 17:08

Moonrise MoonsetLat. Sat Sun Mon Sat Sun Mon72 14:19 16:39 19:16 03:02 02:33 02:0270 14:21 16:30 18:52 02:56 02:36 02:1468 14:22 16:23 18:33 02:52 02:38 02:2366 14:23 16:17 18:19 02:48 02:40 02:3164 14:24 16:13 18:07 02:45 02:41 02:3862 14:25 16:08 17:57 02:42 02:43 02:4460 14:26 16:05 17:48 02:39 02:44 02:4958 14:27 16:02 17:41 02:37 02:45 02:5456 14:27 15:59 17:34 02:35 02:46 02:5854 14:28 15:56 17:29 02:33 02:47 03:0252 14:28 15:54 17:23 02:32 02:48 03:0550 14:29 15:52 17:19 02:30 02:48 03:0845 14:30 15:48 17:09 02:27 02:50 03:1540 14:30 15:44 17:00 02:24 02:51 03:2035 14:31 15:41 16:53 02:21 02:53 03:2530 14:32 15:38 16:47 02:19 02:54 03:3020 14:33 15:33 16:36 02:15 02:55 03:3710 14:34 15:29 16:27 02:12 02:57 03:440 14:35 15:25 16:18 02:09 02:58 03:50-10 14:36 15:21 16:10 02:06 02:60 03:56-20 14:37 15:17 16:01 02:02 03:01 04:03-30 14:38 15:13 15:50 01:58 03:03 04:10-35 14:38 15:10 15:45 01:56 03:04 04:15-40 14:39 15:07 15:38 01:53 03:05 04:20-45 14:40 15:04 15:30 01:50 03:06 04:26-50 14:41 15:00 15:21 01:46 03:08 04:33-52 14:42 14:58 15:17 01:44 03:09 04:36-54 14:42 14:56 15:12 01:42 03:09 04:40-56 14:43 14:54 15:07 01:40 03:10 04:43-58 14:43 14:52 15:02 01:38 03:11 04:48-60 14:44 14:49 14:55 01:35 03:12 04:53

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower22 03:21 03:18 11:56 20:46 08:21 11(78%)23 03:16 03:13 11:56 21:37 09:11 12(87%)24 03:11 03:08 11:56 22:31 10:03 13(94%)

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May 25, 26 ,27 (Tue., Wed., Thu.)Aries Venus Mars Jupiter Saturn

Tue GHA GHA Dec GHA Dec GHA Dec GHA Dec0 242◦47.9 164◦14.0 23◦38.8 131◦47.4 23◦25.9 269◦22.9 -11◦52.8 286◦37.6 -17◦22.41 257◦50.3 179◦13.2 23◦39.2 146◦48.2 23◦25.6 284◦25.2 -11◦52.8 301◦40.0 -17◦22.52 272◦52.8 194◦12.3 23◦39.5 161◦49.0 23◦25.4 299◦27.4 -11◦52.7 316◦42.5 -17◦22.53 287◦55.2 209◦11.4 23◦39.9 176◦49.8 23◦25.2 314◦29.7 -11◦52.6 331◦45.0 -17◦22.54 302◦57.7 224◦10.6 23◦40.2 191◦50.6 23◦25.0 329◦32.0 -11◦52.6 346◦47.4 -17◦22.55 318◦00.2 239◦09.7 23◦40.5 206◦51.4 23◦24.7 344◦34.2 -11◦52.5 1◦49.9 -17◦22.56 333◦02.6 254◦08.9 23◦40.9 221◦52.3 23◦24.5 359◦36.5 -11◦52.5 16◦52.4 -17◦22.57 348◦05.1 269◦08.0 23◦41.2 236◦53.1 23◦24.3 14◦38.8 -11◦52.4 31◦54.8 -17◦22.58 3◦07.6 284◦07.1 23◦41.5 251◦53.9 23◦24.0 29◦41.0 -11◦52.3 46◦57.3 -17◦22.59 18◦10.0 299◦06.3 23◦41.8 266◦54.7 23◦23.8 44◦43.3 -11◦52.3 61◦59.8 -17◦22.510 33◦12.5 314◦05.4 23◦42.2 281◦55.5 23◦23.6 59◦45.6 -11◦52.2 77◦02.2 -17◦22.511 48◦15.0 329◦04.5 23◦42.5 296◦56.3 23◦23.4 74◦47.8 -11◦52.1 92◦04.7 -17◦22.512 63◦17.4 344◦03.7 23◦42.8 311◦57.1 23◦23.1 89◦50.1 -11◦52.1 107◦07.2 -17◦22.513 78◦19.9 359◦02.8 23◦43.2 326◦58.0 23◦22.9 104◦52.4 -11◦52.0 122◦09.7 -17◦22.514 93◦22.4 14◦02.0 23◦43.5 341◦58.8 23◦22.7 119◦54.6 -11◦52.0 137◦12.1 -17◦22.615 108◦24.8 29◦01.1 23◦43.8 356◦59.6 23◦22.4 134◦56.9 -11◦51.9 152◦14.6 -17◦22.616 123◦27.3 44◦00.2 23◦44.1 12◦00.4 23◦22.2 149◦59.2 -11◦51.8 167◦17.1 -17◦22.617 138◦29.7 58◦59.4 23◦44.4 27◦01.2 23◦22.0 165◦01.5 -11◦51.8 182◦19.5 -17◦22.618 153◦32.2 73◦58.5 23◦44.8 42◦02.0 23◦21.7 180◦03.7 -11◦51.7 197◦22.0 -17◦22.619 168◦34.7 88◦57.6 23◦45.1 57◦02.8 23◦21.5 195◦06.0 -11◦51.7 212◦24.5 -17◦22.620 183◦37.1 103◦56.8 23◦45.4 72◦03.7 23◦21.3 210◦08.3 -11◦51.6 227◦27.0 -17◦22.621 198◦39.6 118◦55.9 23◦45.7 87◦04.5 23◦21.0 225◦10.5 -11◦51.5 242◦29.4 -17◦22.622 213◦42.1 133◦55.1 23◦46.0 102◦05.3 23◦20.8 240◦12.8 -11◦51.5 257◦31.9 -17◦22.623 228◦44.5 148◦54.2 23◦46.3 117◦06.1 23◦20.6 255◦15.1 -11◦51.4 272◦34.4 -17◦22.6Mer.pass.:7:47: v-0.9 d0.3 m-3.8 v0.8 d-0.2 m1.7 v2.3 d0.1 m-2.2 v2.5 d-0.0 m0.6

Wed GHA GHA Dec GHA Dec GHA Dec GHA Dec0 243◦47.0 163◦53.3 23◦46.6 132◦06.9 23◦20.4 270◦17.4 -11◦51.4 287◦36.9 -17◦22.61 258◦49.5 178◦52.5 23◦46.9 147◦07.7 23◦20.1 285◦19.6 -11◦51.3 302◦39.3 -17◦22.62 273◦51.9 193◦51.6 23◦47.3 162◦08.6 23◦19.9 300◦21.9 -11◦51.2 317◦41.8 -17◦22.73 288◦54.4 208◦50.7 23◦47.6 177◦09.4 23◦19.7 315◦24.2 -11◦51.2 332◦44.3 -17◦22.74 303◦56.8 223◦49.9 23◦47.9 192◦10.2 23◦19.4 330◦26.4 -11◦51.1 347◦46.7 -17◦22.75 318◦59.3 238◦49.0 23◦48.2 207◦11.0 23◦19.2 345◦28.7 -11◦51.1 2◦49.2 -17◦22.76 334◦01.8 253◦48.1 23◦48.5 222◦11.8 23◦18.9 0◦31.0 -11◦51.0 17◦51.7 -17◦22.77 349◦04.2 268◦47.3 23◦48.8 237◦12.6 23◦18.7 15◦33.3 -11◦50.9 32◦54.2 -17◦22.78 4◦06.7 283◦46.4 23◦49.1 252◦13.4 23◦18.5 30◦35.5 -11◦50.9 47◦56.6 -17◦22.79 19◦09.2 298◦45.5 23◦49.4 267◦14.3 23◦18.2 45◦37.8 -11◦50.8 62◦59.1 -17◦22.710 34◦11.6 313◦44.7 23◦49.7 282◦15.1 23◦18.0 60◦40.1 -11◦50.8 78◦01.6 -17◦22.711 49◦14.1 328◦43.8 23◦50.0 297◦15.9 23◦17.8 75◦42.4 -11◦50.7 93◦04.1 -17◦22.712 64◦16.6 343◦42.9 23◦50.3 312◦16.7 23◦17.5 90◦44.6 -11◦50.6 108◦06.5 -17◦22.713 79◦19.0 358◦42.1 23◦50.6 327◦17.5 23◦17.3 105◦46.9 -11◦50.6 123◦09.0 -17◦22.814 94◦21.5 13◦41.2 23◦50.9 342◦18.3 23◦17.1 120◦49.2 -11◦50.5 138◦11.5 -17◦22.815 109◦24.0 28◦40.3 23◦51.2 357◦19.2 23◦16.8 135◦51.5 -11◦50.5 153◦14.0 -17◦22.816 124◦26.4 43◦39.5 23◦51.5 12◦20.0 23◦16.6 150◦53.7 -11◦50.4 168◦16.4 -17◦22.817 139◦28.9 58◦38.6 23◦51.7 27◦20.8 23◦16.4 165◦56.0 -11◦50.3 183◦18.9 -17◦22.818 154◦31.3 73◦37.7 23◦52.0 42◦21.6 23◦16.1 180◦58.3 -11◦50.3 198◦21.4 -17◦22.819 169◦33.8 88◦36.9 23◦52.3 57◦22.4 23◦15.9 196◦00.6 -11◦50.2 213◦23.9 -17◦22.820 184◦36.3 103◦36.0 23◦52.6 72◦23.2 23◦15.6 211◦02.8 -11◦50.2 228◦26.3 -17◦22.821 199◦38.7 118◦35.1 23◦52.9 87◦24.1 23◦15.4 226◦05.1 -11◦50.1 243◦28.8 -17◦22.822 214◦41.2 133◦34.2 23◦53.2 102◦24.9 23◦15.2 241◦07.4 -11◦50.1 258◦31.3 -17◦22.823 229◦43.7 148◦33.4 23◦53.5 117◦25.7 23◦14.9 256◦09.7 -11◦50.0 273◦33.8 -17◦22.9Mer.pass.:7:43: v-0.9 d0.3 m-3.8 v0.8 d-0.2 m1.7 v2.3 d0.1 m-2.2 v2.5 d-0.0 m0.6

Thu GHA GHA Dec GHA Dec GHA Dec GHA Dec0 244◦46.1 163◦32.5 23◦53.7 132◦26.5 23◦14.7 271◦12.0 -11◦49.9 288◦36.2 -17◦22.91 259◦48.6 178◦31.6 23◦54.0 147◦27.3 23◦14.4 286◦14.2 -11◦49.9 303◦38.7 -17◦22.92 274◦51.1 193◦30.8 23◦54.3 162◦28.1 23◦14.2 301◦16.5 -11◦49.8 318◦41.2 -17◦22.93 289◦53.5 208◦29.9 23◦54.6 177◦29.0 23◦14.0 316◦18.8 -11◦49.8 333◦43.7 -17◦22.94 304◦56.0 223◦29.0 23◦54.9 192◦29.8 23◦13.7 331◦21.1 -11◦49.7 348◦46.2 -17◦22.95 319◦58.5 238◦28.2 23◦55.1 207◦30.6 23◦13.5 346◦23.4 -11◦49.7 3◦48.6 -17◦22.96 335◦00.9 253◦27.3 23◦55.4 222◦31.4 23◦13.2 1◦25.6 -11◦49.6 18◦51.1 -17◦22.97 350◦03.4 268◦26.4 23◦55.7 237◦32.2 23◦13.0 16◦27.9 -11◦49.5 33◦53.6 -17◦22.98 5◦05.8 283◦25.5 23◦56.0 252◦33.1 23◦12.8 31◦30.2 -11◦49.5 48◦56.1 -17◦22.99 20◦08.3 298◦24.7 23◦56.2 267◦33.9 23◦12.5 46◦32.5 -11◦49.4 63◦58.5 -17◦23.010 35◦10.8 313◦23.8 23◦56.5 282◦34.7 23◦12.3 61◦34.8 -11◦49.4 79◦01.0 -17◦23.011 50◦13.2 328◦22.9 23◦56.8 297◦35.5 23◦12.0 76◦37.0 -11◦49.3 94◦03.5 -17◦23.012 65◦15.7 343◦22.1 23◦57.0 312◦36.3 23◦11.8 91◦39.3 -11◦49.3 109◦06.0 -17◦23.013 80◦18.2 358◦21.2 23◦57.3 327◦37.1 23◦11.5 106◦41.6 -11◦49.2 124◦08.5 -17◦23.014 95◦20.6 13◦20.3 23◦57.6 342◦38.0 23◦11.3 121◦43.9 -11◦49.1 139◦10.9 -17◦23.015 110◦23.1 28◦19.4 23◦57.8 357◦38.8 23◦11.1 136◦46.2 -11◦49.1 154◦13.4 -17◦23.016 125◦25.6 43◦18.6 23◦58.1 12◦39.6 23◦10.8 151◦48.5 -11◦49.0 169◦15.9 -17◦23.017 140◦28.0 58◦17.7 23◦58.4 27◦40.4 23◦10.6 166◦50.7 -11◦49.0 184◦18.4 -17◦23.018 155◦30.5 73◦16.8 23◦58.6 42◦41.2 23◦10.3 181◦53.0 -11◦48.9 199◦20.9 -17◦23.019 170◦33.0 88◦15.9 23◦58.9 57◦42.1 23◦10.1 196◦55.3 -11◦48.9 214◦23.3 -17◦23.120 185◦35.4 103◦15.1 23◦59.1 72◦42.9 23◦09.8 211◦57.6 -11◦48.8 229◦25.8 -17◦23.121 200◦37.9 118◦14.2 23◦59.4 87◦43.7 23◦09.6 226◦59.9 -11◦48.8 244◦28.3 -17◦23.122 215◦40.3 133◦13.3 23◦59.7 102◦44.5 23◦09.3 242◦02.2 -11◦48.7 259◦30.8 -17◦23.123 230◦42.8 148◦12.4 23◦59.9 117◦45.3 23◦09.1 257◦04.4 -11◦48.6 274◦33.3 -17◦23.1Mer.pass.:7:39: v-0.9 d0.3 m-3.8 v0.8 d-0.2 m1.7 v2.3 d0.1 m-2.2 v2.5 d-0.0 m0.6

StarsSHA Dec

Alpheratz 357◦38.0 29◦12.2Ankaa 353◦10.4 -42◦11.3

Schedar 349◦34.7 56◦38.9Diphda 348◦50.4 -17◦52.2

Achernar 335◦23.0 -57◦07.6Hamal 327◦54.9 23◦33.6Polaris 315◦51.6 89◦21.0Akamar 315◦14.5 -40◦13.2Menkar 314◦09.6 4◦10.2Mirfak 308◦33.0 49◦56.0

Aldebaran 290◦43.4 16◦33.0Rigel 281◦07.1 -8◦10.8

Capella 280◦26.8 46◦01.2Bellatrix 278◦26.4 6◦22.0Elnath 278◦06.0 28◦37.5Alnilam 275◦41.1 -1◦11.4

Betelgeuse 270◦55.6 7◦24.6Canopus 263◦54.2 -52◦42.6

Sirius 258◦29.1 -16◦44.7Adara 255◦08.5 -29◦00.2

Procyon 244◦54.1 5◦10.3Pollux 243◦21.1 27◦58.5Avior 234◦16.2 -59◦34.9Suhail 222◦48.6 -43◦31.3

Miaplacidus 221◦39.1 -69◦48.5Alphard 217◦50.7 -8◦45.1Regulus 207◦37.6 11◦51.8Dubhe 193◦44.6 61◦38.5

Denebola 182◦27.8 14◦27.3Gienah 175◦46.4 -17◦39.7Acrux 173◦02.9 -63◦13.2

Gacrux 171◦54.5 -57◦14.1Alioth 166◦15.4 55◦50.9Spica 158◦25.2 -11◦16.3Alcaid 152◦54.0 49◦12.6Hadar 148◦39.6 -60◦28.6

Menkent 148◦00.8 -36◦28.5Arcturus 145◦50.2 19◦04.7

Rigil Kent. 139◦43.7 -60◦55.4Zubenelg. 136◦59.0 -16◦07.8Kochab 137◦18.8 74◦04.2

Alphecca 126◦05.9 26◦38.7Antares 112◦19.1 -26◦28.7

Atria 107◦15.4 -69◦03.8Sabik 102◦05.8 -15◦45.0

Shaula 96◦14.0 -37◦07.0Rasalhague 96◦01.0 12◦32.7

Etamin 90◦43.1 51◦29.0Kaus Aust. 83◦36.1 -34◦22.3

Vega 80◦34.9 38◦48.0Nunki 75◦51.2 -26◦16.1Altair 62◦02.7 8◦55.3

Peacock 53◦10.2 -56◦39.8Deneb 49◦27.6 45◦21.1

Enif 33◦41.7 9◦58.2Alnair 27◦36.7 -46◦51.3

Fomalhaut 15◦18.0 -29◦30.5Scheat 13◦48.2 28◦11.6Markab 13◦32.9 15◦19.0

2021/5/2 SHA Mer.passVenus 281◦26.2 13:04Mars 248◦59.5 15:12

Jupiter 26◦35.1 06:02Saturn 43◦49.7 04:53

2021/5/2 SHA Mer.passVenus 280◦06.3 13:05Mars 248◦19.9 15:11

Jupiter 26◦30.4 05:58Saturn 43◦49.9 04:49

2021/5/2 SHA Mer.passVenus 278◦46.4 13:07Mars 247◦40.4 15:09

Jupiter 26◦25.8 05:54Saturn 43◦50.1 04:45

Horizontal paralaxVenus: 0.1Mars: 0.1

98

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2021 May 25 to May. 27

h Sun MoonTue GHA Dec GHA ν Dec d HP0 180◦46.3 20◦57.0 21◦20.5 7.4 -13◦26.5 -14.2 61.21 195◦46.2 20◦57.5 35◦46.8 7.3 -13◦40.6 -14.1 61.22 210◦46.2 20◦57.9 50◦13.0 7.2 -13◦54.7 -14.1 61.23 225◦46.1 20◦58.3 64◦39.2 7.1 -14◦08.8 -14.0 61.24 240◦46.0 20◦58.8 79◦05.2 7.0 -14◦22.7 -13.9 61.25 255◦46.0 20◦59.2 93◦31.2 6.9 -14◦36.5 -13.8 61.26 270◦45.9 20◦59.7 107◦57.0 6.8 -14◦50.3 -13.7 61.37 285◦45.8 21◦00.1 122◦22.8 6.7 -15◦04.0 -13.6 61.38 300◦45.8 21◦00.6 136◦48.5 6.6 -15◦17.5 -13.5 61.39 315◦45.7 21◦01.0 151◦14.0 6.5 -15◦31.0 -13.4 61.310 330◦45.6 21◦01.4 165◦39.5 6.4 -15◦44.4 -13.3 61.311 345◦45.6 21◦01.9 180◦04.9 6.3 -15◦57.7 -13.2 61.312 0◦45.5 21◦02.3 194◦30.2 6.3 -16◦10.9 -13.1 61.313 15◦45.5 21◦02.8 208◦55.4 6.2 -16◦23.9 -13.0 61.314 30◦45.4 21◦03.2 223◦20.5 6.1 -16◦36.9 -12.9 61.315 45◦45.3 21◦03.6 237◦45.6 6.0 -16◦49.8 -12.8 61.316 60◦45.3 21◦04.1 252◦10.5 5.9 -17◦02.5 -12.7 61.317 75◦45.2 21◦04.5 266◦35.3 5.8 -17◦15.1 -12.6 61.318 90◦45.1 21◦05.0 281◦00.1 5.7 -17◦27.7 -12.5 61.319 105◦45.1 21◦05.4 295◦24.7 5.6 -17◦40.1 -12.3 61.420 120◦45.0 21◦05.8 309◦49.3 5.5 -17◦52.4 -12.2 61.421 135◦44.9 21◦06.3 324◦13.7 5.4 -18◦04.5 -12.1 61.422 150◦44.9 21◦06.7 338◦38.1 5.3 -18◦16.6 -12.0 61.423 165◦44.8 21◦07.1 353◦02.4 5.2 -18◦28.5 -11.9 61.4

SD.=15.8 d=0.4 S.D.=16.7

Wed GHA Dec GHA ν Dec d HP0 180◦44.7 21◦07.6 7◦26.6 5.1 -18◦40.3 -11.7 61.41 195◦44.7 21◦08.0 21◦50.7 5.1 -18◦52.0 -11.6 61.42 210◦44.6 21◦08.4 36◦14.7 5.0 -19◦03.5 -11.5 61.43 225◦44.5 21◦08.9 50◦38.6 4.9 -19◦14.9 -11.3 61.44 240◦44.5 21◦09.3 65◦02.5 4.8 -19◦26.2 -11.2 61.45 255◦44.4 21◦09.7 79◦26.2 4.7 -19◦37.3 -11.1 61.46 270◦44.3 21◦10.2 93◦49.9 4.6 -19◦48.3 -10.9 61.47 285◦44.3 21◦10.6 108◦13.4 4.5 -19◦59.1 -10.8 61.48 300◦44.2 21◦11.0 122◦36.9 4.4 -20◦09.8 -10.6 61.49 315◦44.1 21◦11.4 137◦00.3 4.4 -20◦20.4 -10.5 61.410 330◦44.1 21◦11.9 151◦23.6 4.3 -20◦30.8 -10.3 61.311 345◦44.0 21◦12.3 165◦46.9 4.2 -20◦41.1 -10.2 61.312 0◦43.9 21◦12.7 180◦10.0 4.1 -20◦51.2 -10.0 61.313 15◦43.9 21◦13.1 194◦33.1 4.0 -21◦01.2 -9.9 61.314 30◦43.8 21◦13.6 208◦56.1 4.0 -21◦11.0 -9.7 61.315 45◦43.7 21◦14.0 223◦19.0 3.9 -21◦20.6 -9.6 61.316 60◦43.6 21◦14.4 237◦41.9 3.8 -21◦30.1 -9.4 61.317 75◦43.6 21◦14.8 252◦04.7 3.7 -21◦39.5 -9.3 61.318 90◦43.5 21◦15.3 266◦27.4 3.7 -21◦48.7 -9.1 61.319 105◦43.4 21◦15.7 280◦50.0 3.6 -21◦57.7 -8.9 61.320 120◦43.4 21◦16.1 295◦12.5 3.5 -22◦06.5 -8.8 61.321 135◦43.3 21◦16.5 309◦35.0 3.5 -22◦15.2 -8.6 61.322 150◦43.2 21◦16.9 323◦57.4 3.4 -22◦23.8 -8.4 61.223 165◦43.2 21◦17.4 338◦19.8 3.3 -22◦32.1 -8.3 61.2

SD.=15.8 d=0.4 S.D.=16.7

Thu GHA Dec GHA ν Dec d HP0 180◦43.1 21◦17.8 352◦42.1 3.3 -22◦40.3 -8.1 61.21 195◦43.0 21◦18.2 7◦04.3 3.2 -22◦48.3 -7.9 61.22 210◦42.9 21◦18.6 21◦26.5 3.1 -22◦56.2 -7.8 61.23 225◦42.9 21◦19.0 35◦48.6 3.1 -23◦03.8 -7.6 61.24 240◦42.8 21◦19.4 50◦10.6 3.0 -23◦11.3 -7.4 61.25 255◦42.7 21◦19.8 64◦32.6 3.0 -23◦18.7 -7.2 61.26 270◦42.6 21◦20.3 78◦54.6 2.9 -23◦25.8 -7.1 61.17 285◦42.6 21◦20.7 93◦16.5 2.9 -23◦32.8 -6.9 61.18 300◦42.5 21◦21.1 107◦38.3 2.8 -23◦39.6 -6.7 61.19 315◦42.4 21◦21.5 122◦00.2 2.8 -23◦46.2 -6.5 61.110 330◦42.4 21◦21.9 136◦21.9 2.7 -23◦52.6 -6.3 61.111 345◦42.3 21◦22.3 150◦43.6 2.7 -23◦58.8 -6.2 61.112 0◦42.2 21◦22.7 165◦05.3 2.7 -24◦04.9 -6.0 61.013 15◦42.1 21◦23.1 179◦27.0 2.6 -24◦10.8 -5.8 61.014 30◦42.1 21◦23.6 193◦48.6 2.6 -24◦16.5 -5.6 61.015 45◦42.0 21◦24.0 208◦10.2 2.6 -24◦22.0 -5.4 61.016 60◦41.9 21◦24.4 222◦31.7 2.5 -24◦27.3 -5.2 61.017 75◦41.8 21◦24.8 236◦53.2 2.5 -24◦32.4 -5.0 60.918 90◦41.8 21◦25.2 251◦14.7 2.5 -24◦37.4 -4.8 60.919 105◦41.7 21◦25.6 265◦36.2 2.5 -24◦42.1 -4.7 60.920 120◦41.6 21◦26.0 279◦57.7 2.5 -24◦46.7 -4.5 60.921 135◦41.5 21◦26.4 294◦19.1 2.4 -24◦51.0 -4.3 60.822 150◦41.5 21◦26.8 308◦40.5 2.4 -24◦55.2 -4.1 60.823 165◦41.4 21◦27.2 323◦02.0 2.4 -24◦59.2 -3.9 60.8

SD.=15.8 d=0.4 S.D.=16.7

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 –:– –:– –:– –:– –:– –:–70 –:– –:– –:– –:– –:– –:–68 –:– –:– 00:12 –:– –:– –:–66 –:– –:– 01:37 22:21 –:– –:–64 –:– –:– 02:13 21:43 –:– –:–62 –:– 00:57 02:39 21:17 23:02 –:–60 –:– 01:44 02:59 20:57 22:13 –:–58 –:– 02:13 03:15 20:40 21:44 –:–56 00:52 02:34 03:29 20:26 21:21 23:0854 01:34 02:52 03:41 20:14 21:04 22:2252 02:01 03:07 03:52 20:03 20:49 21:5550 02:22 03:19 04:01 19:54 20:36 21:3445 02:59 03:45 04:20 19:34 20:10 20:5640 03:25 04:05 04:36 19:18 19:50 20:3035 03:45 04:21 04:50 19:05 19:34 20:0930 04:02 04:34 05:01 18:53 19:20 19:5220 04:28 04:57 05:21 18:33 18:58 19:2610 04:49 05:15 05:38 18:16 18:39 19:060 05:06 05:31 05:53 18:01 18:23 18:49-10 05:21 05:47 06:09 17:45 18:07 18:33-20 05:35 06:02 06:26 17:28 17:52 18:19-30 05:49 06:19 06:45 17:09 17:35 18:05-35 05:57 06:28 06:56 16:58 17:26 17:57-40 06:05 06:38 07:08 16:46 17:16 17:49-45 06:14 06:50 07:23 16:31 17:04 17:40-50 06:23 07:04 07:41 16:13 16:50 17:30-52 06:28 07:10 07:49 16:04 16:44 17:26-54 06:32 07:17 07:59 15:55 16:37 17:21-56 06:38 07:25 08:10 15:44 16:29 17:16-58 06:43 07:34 08:22 15:32 16:20 17:11-60 06:49 07:43 08:36 15:17 16:10 17:05

Moonrise MoonsetLat. Tue Wed Thu Tue Wed Thu72 –:– –:– –:– 01:19 –:– –:–70 21:50 –:– –:– 01:45 00:48 –:–68 21:02 –:– –:– 02:05 01:37 –:–66 20:32 23:08 –:– 02:22 02:08 01:4164 20:09 22:20 –:– 02:35 02:32 02:3062 19:51 21:49 23:39 02:46 02:51 03:0160 19:37 21:26 23:06 02:56 03:07 03:2558 19:24 21:08 22:42 03:05 03:20 03:4456 19:13 20:52 22:22 03:12 03:32 03:6054 19:04 20:39 22:06 03:19 03:42 04:1452 18:56 20:28 21:52 03:25 03:51 04:2650 18:48 20:17 21:40 03:31 03:59 04:3645 18:32 19:56 21:15 03:43 04:16 04:5840 18:19 19:39 20:55 03:53 04:31 05:1735 18:08 19:24 20:38 04:01 04:43 05:3230 17:59 19:12 20:24 04:09 04:54 05:4520 17:42 18:51 19:60 04:22 05:12 06:0810 17:28 18:33 19:39 04:34 05:28 06:270 17:15 18:16 19:19 04:45 05:43 06:46-10 17:02 17:59 18:60 04:56 05:58 07:04-20 16:48 17:41 18:39 05:07 06:15 07:24-30 16:32 17:20 18:15 05:21 06:33 07:47-35 16:23 17:08 18:01 05:29 06:44 07:60-40 16:13 16:55 17:45 05:37 06:57 08:15-45 16:01 16:39 17:26 05:48 07:12 08:34-50 15:47 16:19 17:02 06:01 07:30 08:57-52 15:40 16:10 16:51 06:07 07:39 09:08-54 15:32 15:59 16:38 06:13 07:49 09:21-56 15:24 15:48 16:23 06:21 07:60 09:35-58 15:15 15:34 16:05 06:29 08:13 09:53-60 15:04 15:19 15:44 06:39 08:28 10:13

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower25 03:05 03:02 11:56 23:29 10:59 14(99%)26 02:59 02:56 11:57 00:30 11:59 15(100%)27 02:52 02:49 11:57 00:30 13:02 16(98%)

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May 28, 29 ,30 (Fri., Sat., Sun.)Aries Venus Mars Jupiter Saturn

Fri GHA GHA Dec GHA Dec GHA Dec GHA Dec0 245◦45.3 163◦11.6 24◦00.2 132◦46.2 23◦08.9 272◦06.7 -11◦48.6 289◦35.7 -17◦23.11 260◦47.7 178◦10.7 24◦00.4 147◦47.0 23◦08.6 287◦09.0 -11◦48.5 304◦38.2 -17◦23.12 275◦50.2 193◦09.8 24◦00.7 162◦47.8 23◦08.4 302◦11.3 -11◦48.5 319◦40.7 -17◦23.13 290◦52.7 208◦08.9 24◦00.9 177◦48.6 23◦08.1 317◦13.6 -11◦48.4 334◦43.2 -17◦23.14 305◦55.1 223◦08.1 24◦01.2 192◦49.4 23◦07.9 332◦15.9 -11◦48.4 349◦45.7 -17◦23.25 320◦57.6 238◦07.2 24◦01.4 207◦50.2 23◦07.6 347◦18.2 -11◦48.3 4◦48.2 -17◦23.26 336◦00.1 253◦06.3 24◦01.7 222◦51.1 23◦07.4 2◦20.4 -11◦48.3 19◦50.6 -17◦23.27 351◦02.5 268◦05.4 24◦01.9 237◦51.9 23◦07.1 17◦22.7 -11◦48.2 34◦53.1 -17◦23.28 6◦05.0 283◦04.6 24◦02.1 252◦52.7 23◦06.9 32◦25.0 -11◦48.1 49◦55.6 -17◦23.29 21◦07.5 298◦03.7 24◦02.4 267◦53.5 23◦06.6 47◦27.3 -11◦48.1 64◦58.1 -17◦23.210 36◦09.9 313◦02.8 24◦02.6 282◦54.3 23◦06.4 62◦29.6 -11◦48.0 80◦00.6 -17◦23.211 51◦12.4 328◦01.9 24◦02.9 297◦55.2 23◦06.1 77◦31.9 -11◦48.0 95◦03.0 -17◦23.212 66◦14.8 343◦01.1 24◦03.1 312◦56.0 23◦05.9 92◦34.2 -11◦47.9 110◦05.5 -17◦23.213 81◦17.3 358◦00.2 24◦03.3 327◦56.8 23◦05.6 107◦36.5 -11◦47.9 125◦08.0 -17◦23.314 96◦19.8 12◦59.3 24◦03.6 342◦57.6 23◦05.4 122◦38.7 -11◦47.8 140◦10.5 -17◦23.315 111◦22.2 27◦58.4 24◦03.8 357◦58.4 23◦05.1 137◦41.0 -11◦47.8 155◦13.0 -17◦23.316 126◦24.7 42◦57.6 24◦04.0 12◦59.3 23◦04.9 152◦43.3 -11◦47.7 170◦15.5 -17◦23.317 141◦27.2 57◦56.7 24◦04.3 28◦00.1 23◦04.6 167◦45.6 -11◦47.7 185◦17.9 -17◦23.318 156◦29.6 72◦55.8 24◦04.5 43◦00.9 23◦04.4 182◦47.9 -11◦47.6 200◦20.4 -17◦23.319 171◦32.1 87◦54.9 24◦04.7 58◦01.7 23◦04.1 197◦50.2 -11◦47.6 215◦22.9 -17◦23.320 186◦34.6 102◦54.0 24◦05.0 73◦02.6 23◦03.9 212◦52.5 -11◦47.5 230◦25.4 -17◦23.321 201◦37.0 117◦53.2 24◦05.2 88◦03.4 23◦03.6 227◦54.8 -11◦47.5 245◦27.9 -17◦23.422 216◦39.5 132◦52.3 24◦05.4 103◦04.2 23◦03.4 242◦57.1 -11◦47.4 260◦30.4 -17◦23.423 231◦42.0 147◦51.4 24◦05.6 118◦05.0 23◦03.1 257◦59.4 -11◦47.3 275◦32.8 -17◦23.4Mer.pass.:7:35: v-0.9 d0.3 m-3.8 v0.8 d-0.2 m1.7 v2.3 d0.1 m-2.2 v2.5 d-0.0 m0.6

Sat GHA GHA Dec GHA Dec GHA Dec GHA Dec0 246◦44.4 162◦50.5 24◦05.9 133◦05.8 23◦02.9 273◦01.7 -11◦47.3 290◦35.3 -17◦23.41 261◦46.9 177◦49.7 24◦06.1 148◦06.7 23◦02.6 288◦04.0 -11◦47.2 305◦37.8 -17◦23.42 276◦49.3 192◦48.8 24◦06.3 163◦07.5 23◦02.4 303◦06.2 -11◦47.2 320◦40.3 -17◦23.43 291◦51.8 207◦47.9 24◦06.5 178◦08.3 23◦02.1 318◦08.5 -11◦47.1 335◦42.8 -17◦23.44 306◦54.3 222◦47.0 24◦06.8 193◦09.1 23◦01.8 333◦10.8 -11◦47.1 350◦45.3 -17◦23.45 321◦56.7 237◦46.1 24◦07.0 208◦09.9 23◦01.6 348◦13.1 -11◦47.0 5◦47.8 -17◦23.46 336◦59.2 252◦45.3 24◦07.2 223◦10.8 23◦01.3 3◦15.4 -11◦47.0 20◦50.2 -17◦23.57 352◦01.7 267◦44.4 24◦07.4 238◦11.6 23◦01.1 18◦17.7 -11◦46.9 35◦52.7 -17◦23.58 7◦04.1 282◦43.5 24◦07.6 253◦12.4 23◦00.8 33◦20.0 -11◦46.9 50◦55.2 -17◦23.59 22◦06.6 297◦42.6 24◦07.8 268◦13.2 23◦00.6 48◦22.3 -11◦46.8 65◦57.7 -17◦23.510 37◦09.1 312◦41.7 24◦08.0 283◦14.1 23◦00.3 63◦24.6 -11◦46.8 81◦00.2 -17◦23.511 52◦11.5 327◦40.9 24◦08.3 298◦14.9 23◦00.1 78◦26.9 -11◦46.7 96◦02.7 -17◦23.512 67◦14.0 342◦40.0 24◦08.5 313◦15.7 22◦59.8 93◦29.2 -11◦46.7 111◦05.2 -17◦23.513 82◦16.5 357◦39.1 24◦08.7 328◦16.5 22◦59.6 108◦31.5 -11◦46.6 126◦07.7 -17◦23.514 97◦18.9 12◦38.2 24◦08.9 343◦17.3 22◦59.3 123◦33.8 -11◦46.6 141◦10.1 -17◦23.615 112◦21.4 27◦37.3 24◦09.1 358◦18.2 22◦59.0 138◦36.1 -11◦46.5 156◦12.6 -17◦23.616 127◦23.8 42◦36.5 24◦09.3 13◦19.0 22◦58.8 153◦38.4 -11◦46.5 171◦15.1 -17◦23.617 142◦26.3 57◦35.6 24◦09.5 28◦19.8 22◦58.5 168◦40.7 -11◦46.4 186◦17.6 -17◦23.618 157◦28.8 72◦34.7 24◦09.7 43◦20.6 22◦58.3 183◦43.0 -11◦46.4 201◦20.1 -17◦23.619 172◦31.2 87◦33.8 24◦09.9 58◦21.5 22◦58.0 198◦45.3 -11◦46.3 216◦22.6 -17◦23.620 187◦33.7 102◦32.9 24◦10.1 73◦22.3 22◦57.8 213◦47.6 -11◦46.3 231◦25.1 -17◦23.621 202◦36.2 117◦32.1 24◦10.3 88◦23.1 22◦57.5 228◦49.9 -11◦46.2 246◦27.6 -17◦23.722 217◦38.6 132◦31.2 24◦10.5 103◦23.9 22◦57.2 243◦52.2 -11◦46.2 261◦30.0 -17◦23.723 232◦41.1 147◦30.3 24◦10.7 118◦24.7 22◦57.0 258◦54.5 -11◦46.1 276◦32.5 -17◦23.7Mer.pass.:7:31: v-0.9 d0.2 m-3.8 v0.8 d-0.3 m1.7 v2.3 d0.1 m-2.3 v2.5 d-0.0 m0.6

Sun GHA GHA Dec GHA Dec GHA Dec GHA Dec0 247◦43.6 162◦29.4 24◦10.9 133◦25.6 22◦56.7 273◦56.8 -11◦46.1 291◦35.0 -17◦23.71 262◦46.0 177◦28.5 24◦11.1 148◦26.4 22◦56.5 288◦59.1 -11◦46.0 306◦37.5 -17◦23.72 277◦48.5 192◦27.6 24◦11.3 163◦27.2 22◦56.2 304◦01.4 -11◦46.0 321◦40.0 -17◦23.73 292◦51.0 207◦26.8 24◦11.5 178◦28.0 22◦55.9 319◦03.7 -11◦45.9 336◦42.5 -17◦23.74 307◦53.4 222◦25.9 24◦11.6 193◦28.9 22◦55.7 334◦06.0 -11◦45.9 351◦45.0 -17◦23.75 322◦55.9 237◦25.0 24◦11.8 208◦29.7 22◦55.4 349◦08.3 -11◦45.8 6◦47.5 -17◦23.86 337◦58.3 252◦24.1 24◦12.0 223◦30.5 22◦55.2 4◦10.6 -11◦45.8 21◦50.0 -17◦23.87 353◦00.8 267◦23.2 24◦12.2 238◦31.3 22◦54.9 19◦12.9 -11◦45.7 36◦52.4 -17◦23.88 8◦03.3 282◦22.3 24◦12.4 253◦32.2 22◦54.6 34◦15.2 -11◦45.7 51◦54.9 -17◦23.89 23◦05.7 297◦21.5 24◦12.6 268◦33.0 22◦54.4 49◦17.5 -11◦45.6 66◦57.4 -17◦23.810 38◦08.2 312◦20.6 24◦12.8 283◦33.8 22◦54.1 64◦19.8 -11◦45.6 81◦59.9 -17◦23.811 53◦10.7 327◦19.7 24◦12.9 298◦34.6 22◦53.8 79◦22.1 -11◦45.5 97◦02.4 -17◦23.812 68◦13.1 342◦18.8 24◦13.1 313◦35.5 22◦53.6 94◦24.4 -11◦45.5 112◦04.9 -17◦23.913 83◦15.6 357◦17.9 24◦13.3 328◦36.3 22◦53.3 109◦26.7 -11◦45.4 127◦07.4 -17◦23.914 98◦18.1 12◦17.0 24◦13.5 343◦37.1 22◦53.1 124◦29.0 -11◦45.4 142◦09.9 -17◦23.915 113◦20.5 27◦16.2 24◦13.7 358◦37.9 22◦52.8 139◦31.3 -11◦45.3 157◦12.4 -17◦23.916 128◦23.0 42◦15.3 24◦13.8 13◦38.7 22◦52.5 154◦33.6 -11◦45.3 172◦14.9 -17◦23.917 143◦25.4 57◦14.4 24◦14.0 28◦39.6 22◦52.3 169◦35.9 -11◦45.2 187◦17.4 -17◦23.918 158◦27.9 72◦13.5 24◦14.2 43◦40.4 22◦52.0 184◦38.2 -11◦45.2 202◦19.9 -17◦23.919 173◦30.4 87◦12.6 24◦14.3 58◦41.2 22◦51.7 199◦40.5 -11◦45.1 217◦22.3 -17◦24.020 188◦32.8 102◦11.7 24◦14.5 73◦42.0 22◦51.5 214◦42.8 -11◦45.1 232◦24.8 -17◦24.021 203◦35.3 117◦10.9 24◦14.7 88◦42.9 22◦51.2 229◦45.1 -11◦45.0 247◦27.3 -17◦24.022 218◦37.8 132◦10.0 24◦14.9 103◦43.7 22◦50.9 244◦47.4 -11◦45.0 262◦29.8 -17◦24.023 233◦40.2 147◦09.1 24◦15.0 118◦44.5 22◦50.7 259◦49.7 -11◦44.9 277◦32.3 -17◦24.0Mer.pass.:7:27: v-0.9 d0.2 m-3.8 v0.8 d-0.3 m1.7 v2.3 d0.0 m-2.3 v2.5 d-0.0 m0.6

StarsSHA Dec

Alpheratz 357◦38.0 29◦12.2Ankaa 353◦10.3 -42◦11.3

Schedar 349◦34.7 56◦38.9Diphda 348◦50.4 -17◦52.2

Achernar 335◦23.0 -57◦07.6Hamal 327◦54.8 23◦33.6Polaris 315◦50.7 89◦21.0Akamar 315◦14.5 -40◦13.2Menkar 314◦09.6 4◦10.3Mirfak 308◦33.0 49◦56.0

Aldebaran 290◦43.4 16◦33.0Rigel 281◦07.1 -8◦10.7

Capella 280◦26.8 46◦01.1Bellatrix 278◦26.4 6◦22.0Elnath 278◦06.0 28◦37.4Alnilam 275◦41.1 -1◦11.4

Betelgeuse 270◦55.6 7◦24.6Canopus 263◦54.2 -52◦42.6

Sirius 258◦29.1 -16◦44.7Adara 255◦08.5 -29◦00.2

Procyon 244◦54.1 5◦10.3Pollux 243◦21.1 27◦58.5Avior 234◦16.2 -59◦34.9Suhail 222◦48.6 -43◦31.3

Miaplacidus 221◦39.1 -69◦48.5Alphard 217◦50.7 -8◦45.1Regulus 207◦37.6 11◦51.8Dubhe 193◦44.6 61◦38.5

Denebola 182◦27.8 14◦27.3Gienah 175◦46.4 -17◦39.7Acrux 173◦02.9 -63◦13.2

Gacrux 171◦54.5 -57◦14.1Alioth 166◦15.4 55◦50.9Spica 158◦25.2 -11◦16.3Alcaid 152◦54.0 49◦12.6Hadar 148◦39.6 -60◦28.6

Menkent 148◦00.8 -36◦28.5Arcturus 145◦50.2 19◦04.7

Rigil Kent. 139◦43.7 -60◦55.4Zubenelg. 136◦59.0 -16◦07.8Kochab 137◦18.8 74◦04.3

Alphecca 126◦05.9 26◦38.7Antares 112◦19.1 -26◦28.7

Atria 107◦15.4 -69◦03.8Sabik 102◦05.8 -15◦45.0

Shaula 96◦14.0 -37◦07.0Rasalhague 96◦01.0 12◦32.7

Etamin 90◦43.0 51◦29.1Kaus Aust. 83◦36.1 -34◦22.3

Vega 80◦34.9 38◦48.0Nunki 75◦51.1 -26◦16.1Altair 62◦02.7 8◦55.3

Peacock 53◦10.1 -56◦39.8Deneb 49◦27.5 45◦21.1

Enif 33◦41.6 9◦58.2Alnair 27◦36.7 -46◦51.3

Fomalhaut 15◦17.9 -29◦30.5Scheat 13◦48.1 28◦11.6Markab 13◦32.9 15◦19.0

2021/5/2 SHA Mer.passVenus 277◦26.3 13:08Mars 247◦00.9 15:08

Jupiter 26◦21.4 05:51Saturn 43◦50.5 04:41

2021/5/2 SHA Mer.passVenus 276◦06.1 13:09Mars 246◦21.4 15:07

Jupiter 26◦17.2 05:47Saturn 43◦50.9 04:37

2021/5/3 SHA Mer.passVenus 274◦45.8 13:11Mars 245◦42.0 15:05

Jupiter 26◦13.2 05:43Saturn 43◦51.5 04:33

Horizontal paralaxVenus: 0.1Mars: 0.1

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2021 May 28 to May. 30

h Sun MoonFri GHA Dec GHA ν Dec d HP0 180◦41.3 21◦27.6 337◦23.4 2.4 -25◦03.0 -3.7 60.81 195◦41.2 21◦28.0 351◦44.8 2.4 -25◦06.6 -3.5 60.72 210◦41.2 21◦28.4 6◦06.2 2.4 -25◦10.1 -3.3 60.73 225◦41.1 21◦28.8 20◦27.6 2.4 -25◦13.3 -3.1 60.74 240◦41.0 21◦29.2 34◦49.0 2.4 -25◦16.3 -2.9 60.75 255◦40.9 21◦29.6 49◦10.4 2.4 -25◦19.2 -2.7 60.66 270◦40.8 21◦30.0 63◦31.8 2.4 -25◦21.8 -2.6 60.67 285◦40.8 21◦30.4 77◦53.2 2.4 -25◦24.3 -2.4 60.68 300◦40.7 21◦30.8 92◦14.7 2.4 -25◦26.5 -2.2 60.69 315◦40.6 21◦31.2 106◦36.1 2.5 -25◦28.6 -2.0 60.510 330◦40.5 21◦31.6 120◦57.6 2.5 -25◦30.5 -1.8 60.511 345◦40.5 21◦32.0 135◦19.1 2.5 -25◦32.2 -1.6 60.512 0◦40.4 21◦32.4 149◦40.6 2.5 -25◦33.7 -1.4 60.413 15◦40.3 21◦32.8 164◦02.2 2.6 -25◦35.0 -1.2 60.414 30◦40.2 21◦33.2 178◦23.7 2.6 -25◦36.1 -1.0 60.415 45◦40.1 21◦33.6 192◦45.3 2.6 -25◦37.1 -0.8 60.316 60◦40.1 21◦34.0 207◦07.0 2.7 -25◦37.8 -0.6 60.317 75◦40.0 21◦34.3 221◦28.7 2.7 -25◦38.3 -0.5 60.318 90◦39.9 21◦34.7 235◦50.4 2.7 -25◦38.7 -0.3 60.319 105◦39.8 21◦35.1 250◦12.2 2.8 -25◦38.9 -0.1 60.220 120◦39.7 21◦35.5 264◦34.0 2.8 -25◦38.9 0.1 60.221 135◦39.7 21◦35.9 278◦55.8 2.9 -25◦38.7 0.3 60.222 150◦39.6 21◦36.3 293◦17.7 2.9 -25◦38.3 0.5 60.123 165◦39.5 21◦36.7 307◦39.7 3.0 -25◦37.7 0.7 60.1

SD.=15.8 d=0.4 S.D.=16.6

Sat GHA Dec GHA ν Dec d HP0 180◦39.4 21◦37.1 322◦01.7 3.0 -25◦36.9 0.9 60.11 195◦39.3 21◦37.5 336◦23.8 3.1 -25◦36.0 1.0 60.02 210◦39.3 21◦37.8 350◦45.9 3.2 -25◦34.8 1.2 60.03 225◦39.2 21◦38.2 5◦08.1 3.2 -25◦33.5 1.4 60.04 240◦39.1 21◦38.6 19◦30.4 3.3 -25◦32.0 1.6 59.95 255◦39.0 21◦39.0 33◦52.7 3.4 -25◦30.4 1.8 59.96 270◦38.9 21◦39.4 48◦15.1 3.4 -25◦28.5 1.9 59.87 285◦38.8 21◦39.8 62◦37.5 3.5 -25◦26.5 2.1 59.88 300◦38.8 21◦40.1 77◦00.1 3.6 -25◦24.3 2.3 59.89 315◦38.7 21◦40.5 91◦22.7 3.7 -25◦21.9 2.5 59.710 330◦38.6 21◦40.9 105◦45.4 3.7 -25◦19.3 2.6 59.711 345◦38.5 21◦41.3 120◦08.2 3.8 -25◦16.6 2.8 59.712 0◦38.4 21◦41.7 134◦31.0 3.9 -25◦13.7 3.0 59.613 15◦38.3 21◦42.0 148◦54.0 4.0 -25◦10.6 3.2 59.614 30◦38.3 21◦42.4 163◦17.0 4.1 -25◦07.4 3.3 59.615 45◦38.2 21◦42.8 177◦40.1 4.2 -25◦03.9 3.5 59.516 60◦38.1 21◦43.2 192◦03.3 4.3 -25◦00.4 3.7 59.517 75◦38.0 21◦43.5 206◦26.6 4.3 -24◦56.6 3.8 59.418 90◦37.9 21◦43.9 220◦50.0 4.4 -24◦52.7 4.0 59.419 105◦37.8 21◦44.3 235◦13.5 4.5 -24◦48.6 4.2 59.420 120◦37.8 21◦44.7 249◦37.1 4.6 -24◦44.4 4.3 59.321 135◦37.7 21◦45.0 264◦00.8 4.7 -24◦40.0 4.5 59.322 150◦37.6 21◦45.4 278◦24.6 4.8 -24◦35.4 4.6 59.323 165◦37.5 21◦45.8 292◦48.4 4.9 -24◦30.7 4.8 59.2

SD.=15.8 d=0.4 S.D.=16.4

Sun GHA Dec GHA ν Dec d HP0 180◦37.4 21◦46.2 307◦12.4 5.0 -24◦25.8 5.0 59.21 195◦37.3 21◦46.5 321◦36.5 5.1 -24◦20.8 5.1 59.12 210◦37.2 21◦46.9 336◦00.7 5.2 -24◦15.6 5.3 59.13 225◦37.2 21◦47.3 350◦25.0 5.4 -24◦10.2 5.4 59.14 240◦37.1 21◦47.6 4◦49.4 5.5 -24◦04.7 5.6 59.05 255◦37.0 21◦48.0 19◦13.9 5.6 -23◦59.1 5.7 59.06 270◦36.9 21◦48.4 33◦38.5 5.7 -23◦53.3 5.9 58.97 285◦36.8 21◦48.7 48◦03.3 5.8 -23◦47.4 6.0 58.98 300◦36.7 21◦49.1 62◦28.1 5.9 -23◦41.3 6.1 58.99 315◦36.6 21◦49.5 76◦53.1 6.0 -23◦35.1 6.3 58.810 330◦36.5 21◦49.8 91◦18.1 6.1 -23◦28.7 6.4 58.811 345◦36.5 21◦50.2 105◦43.3 6.2 -23◦22.2 6.6 58.712 0◦36.4 21◦50.6 120◦08.6 6.4 -23◦15.6 6.7 58.713 15◦36.3 21◦50.9 134◦34.0 6.5 -23◦08.8 6.8 58.714 30◦36.2 21◦51.3 148◦59.6 6.6 -23◦01.9 7.0 58.615 45◦36.1 21◦51.6 163◦25.2 6.7 -22◦54.9 7.1 58.616 60◦36.0 21◦52.0 177◦51.0 6.8 -22◦47.7 7.2 58.517 75◦35.9 21◦52.4 192◦16.8 6.9 -22◦40.4 7.4 58.518 90◦35.8 21◦52.7 206◦42.8 7.1 -22◦33.0 7.5 58.519 105◦35.7 21◦53.1 221◦08.9 7.2 -22◦25.5 7.6 58.420 120◦35.7 21◦53.4 235◦35.2 7.3 -22◦17.8 7.7 58.421 135◦35.6 21◦53.8 250◦01.5 7.4 -22◦10.0 7.9 58.322 150◦35.5 21◦54.2 264◦28.0 7.5 -22◦02.1 8.0 58.323 165◦35.4 21◦54.5 278◦54.6 7.7 -21◦54.1 8.1 58.3

SD.=15.8 d=0.4 S.D.=16.1

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 –:– –:– –:– –:– –:– –:–70 –:– –:– –:– –:– –:– –:–68 –:– –:– –:– –:– –:– –:–66 –:– –:– 01:24 22:34 –:– –:–64 –:– –:– 02:05 21:52 –:– –:–62 –:– 00:37 02:33 21:24 23:26 –:–60 –:– 01:35 02:54 21:02 22:23 –:–58 –:– 02:06 03:11 20:45 21:51 –:–56 00:34 02:29 03:25 20:31 21:27 23:2954 01:26 02:47 03:38 20:18 21:09 22:3152 01:55 03:03 03:49 20:07 20:53 22:0150 02:17 03:16 03:58 19:57 20:40 21:3945 02:55 03:42 04:18 19:37 20:13 21:0040 03:23 04:03 04:35 19:21 19:53 20:3335 03:44 04:19 04:48 19:07 19:36 20:1230 04:01 04:33 05:00 18:55 19:22 19:5420 04:27 04:56 05:20 18:35 18:59 19:2810 04:48 05:15 05:38 18:17 18:40 19:070 05:06 05:32 05:54 18:01 18:23 18:49-10 05:21 05:47 06:10 17:45 18:08 18:34-20 05:36 06:03 06:27 17:28 17:52 18:19-30 05:51 06:20 06:46 17:08 17:34 18:04-35 05:59 06:30 06:57 16:57 17:25 17:56-40 06:07 06:40 07:10 16:44 17:14 17:48-45 06:16 06:53 07:26 16:29 17:02 17:39-50 06:26 07:07 07:44 16:10 16:48 17:28-52 06:31 07:13 07:53 16:02 16:41 17:24-54 06:36 07:21 08:03 15:52 16:34 17:19-56 06:41 07:29 08:14 15:40 16:26 17:14-58 06:47 07:38 08:27 15:28 16:17 17:08-60 06:53 07:48 08:42 15:13 16:07 17:01

Moonrise MoonsetLat. Fri Sat Sun Fri Sat Sun72 –:– –:– –:– –:– –:– –:–70 –:– –:– –:– –:– –:– –:–68 –:– –:– –:– –:– –:– –:–66 –:– –:– –:– –:– –:– –:–64 00:33 02:02 02:10 02:31 03:17 05:1862 –:– 00:55 01:30 03:26 04:24 05:5760 –:– 00:20 01:02 03:59 04:59 06:2558 23:54 –:– 00:40 04:23 05:25 06:4656 23:34 –:– 00:23 04:43 05:45 07:0354 23:17 –:– 00:08 04:59 06:02 07:1852 23:02 23:55 –:– 05:13 06:16 07:3150 22:50 23:43 –:– 05:26 06:29 07:4245 22:24 23:19 –:– 05:51 06:55 08:0540 22:03 22:60 23:45 06:12 07:15 08:2435 21:46 22:44 23:31 06:29 07:32 08:4030 21:31 22:30 23:19 06:43 07:47 08:5320 21:06 22:06 22:59 07:08 08:12 09:1610 20:44 21:45 22:41 07:30 08:33 09:360 20:23 21:26 22:24 07:50 08:54 09:54-10 20:03 21:06 22:07 08:10 09:14 10:12-20 19:41 20:46 21:48 08:31 09:35 10:32-30 19:16 20:22 21:27 08:56 09:60 10:54-35 19:02 20:07 21:15 09:11 10:14 11:07-40 18:45 19:51 21:01 09:28 10:31 11:22-45 18:24 19:31 20:44 09:48 10:51 11:40-50 17:58 19:07 20:23 10:14 11:16 12:02-52 17:46 18:55 20:13 10:26 11:28 12:12-54 17:32 18:42 20:02 10:41 11:41 12:24-56 17:15 18:26 19:49 10:57 11:57 12:37-58 16:55 18:07 19:34 11:17 12:16 12:53-60 16:31 17:44 19:16 11:42 12:40 13:11

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower28 02:45 02:42 11:57 01:34 14:06 17(94%)29 02:38 02:34 11:57 02:38 15:09 18(87%)30 02:30 02:25 11:57 03:39 16:08 19(78%)

101

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May 31, 01 ,02 (Mon., Tue., Wed.)Aries Venus Mars Jupiter Saturn

Mon GHA GHA Dec GHA Dec GHA Dec GHA Dec0 248◦42.7 162◦08.2 24◦15.2 133◦45.3 22◦50.4 274◦52.0 -11◦44.9 292◦34.8 -17◦24.01 263◦45.2 177◦07.3 24◦15.3 148◦46.2 22◦50.2 289◦54.3 -11◦44.8 307◦37.3 -17◦24.02 278◦47.6 192◦06.4 24◦15.5 163◦47.0 22◦49.9 304◦56.6 -11◦44.8 322◦39.8 -17◦24.13 293◦50.1 207◦05.5 24◦15.7 178◦47.8 22◦49.6 319◦58.9 -11◦44.8 337◦42.3 -17◦24.14 308◦52.6 222◦04.7 24◦15.8 193◦48.6 22◦49.4 335◦01.2 -11◦44.7 352◦44.8 -17◦24.15 323◦55.0 237◦03.8 24◦16.0 208◦49.5 22◦49.1 350◦03.6 -11◦44.7 7◦47.3 -17◦24.16 338◦57.5 252◦02.9 24◦16.1 223◦50.3 22◦48.8 5◦05.9 -11◦44.6 22◦49.8 -17◦24.17 353◦59.9 267◦02.0 24◦16.3 238◦51.1 22◦48.6 20◦08.2 -11◦44.6 37◦52.3 -17◦24.18 9◦02.4 282◦01.1 24◦16.5 253◦51.9 22◦48.3 35◦10.5 -11◦44.5 52◦54.8 -17◦24.19 24◦04.9 297◦00.2 24◦16.6 268◦52.8 22◦48.0 50◦12.8 -11◦44.5 67◦57.2 -17◦24.210 39◦07.3 311◦59.3 24◦16.8 283◦53.6 22◦47.7 65◦15.1 -11◦44.4 82◦59.7 -17◦24.211 54◦09.8 326◦58.5 24◦16.9 298◦54.4 22◦47.5 80◦17.4 -11◦44.4 98◦02.2 -17◦24.212 69◦12.3 341◦57.6 24◦17.1 313◦55.3 22◦47.2 95◦19.7 -11◦44.3 113◦04.7 -17◦24.213 84◦14.7 356◦56.7 24◦17.2 328◦56.1 22◦46.9 110◦22.0 -11◦44.3 128◦07.2 -17◦24.214 99◦17.2 11◦55.8 24◦17.4 343◦56.9 22◦46.7 125◦24.3 -11◦44.2 143◦09.7 -17◦24.215 114◦19.7 26◦54.9 24◦17.5 358◦57.7 22◦46.4 140◦26.6 -11◦44.2 158◦12.2 -17◦24.216 129◦22.1 41◦54.0 24◦17.7 13◦58.6 22◦46.1 155◦29.0 -11◦44.2 173◦14.7 -17◦24.317 144◦24.6 56◦53.1 24◦17.8 28◦59.4 22◦45.9 170◦31.3 -11◦44.1 188◦17.2 -17◦24.318 159◦27.1 71◦52.3 24◦17.9 44◦00.2 22◦45.6 185◦33.6 -11◦44.1 203◦19.7 -17◦24.319 174◦29.5 86◦51.4 24◦18.1 59◦01.0 22◦45.3 200◦35.9 -11◦44.0 218◦22.2 -17◦24.320 189◦32.0 101◦50.5 24◦18.2 74◦01.9 22◦45.0 215◦38.2 -11◦44.0 233◦24.7 -17◦24.321 204◦34.4 116◦49.6 24◦18.4 89◦02.7 22◦44.8 230◦40.5 -11◦43.9 248◦27.2 -17◦24.322 219◦36.9 131◦48.7 24◦18.5 104◦03.5 22◦44.5 245◦42.8 -11◦43.9 263◦29.7 -17◦24.423 234◦39.4 146◦47.8 24◦18.6 119◦04.3 22◦44.2 260◦45.1 -11◦43.8 278◦32.2 -17◦24.4Mer.pass.:7:23: v-0.9 d0.2 m-3.8 v0.8 d-0.3 m1.7 v2.3 d0.0 m-2.3 v2.5 d-0.0 m0.6

Tue GHA GHA Dec GHA Dec GHA Dec GHA Dec0 249◦41.8 161◦46.9 24◦18.8 134◦05.2 22◦44.0 275◦47.5 -11◦43.8 293◦34.7 -17◦24.41 264◦44.3 176◦46.0 24◦18.9 149◦06.0 22◦43.7 290◦49.8 -11◦43.7 308◦37.2 -17◦24.42 279◦46.8 191◦45.2 24◦19.0 164◦06.8 22◦43.4 305◦52.1 -11◦43.7 323◦39.7 -17◦24.43 294◦49.2 206◦44.3 24◦19.2 179◦07.7 22◦43.1 320◦54.4 -11◦43.7 338◦42.2 -17◦24.44 309◦51.7 221◦43.4 24◦19.3 194◦08.5 22◦42.9 335◦56.7 -11◦43.6 353◦44.7 -17◦24.55 324◦54.2 236◦42.5 24◦19.4 209◦09.3 22◦42.6 350◦59.0 -11◦43.6 8◦47.2 -17◦24.56 339◦56.6 251◦41.6 24◦19.6 224◦10.1 22◦42.3 6◦01.3 -11◦43.5 23◦49.7 -17◦24.57 354◦59.1 266◦40.7 24◦19.7 239◦11.0 22◦42.0 21◦03.7 -11◦43.5 38◦52.2 -17◦24.58 10◦01.6 281◦39.8 24◦19.8 254◦11.8 22◦41.8 36◦06.0 -11◦43.4 53◦54.7 -17◦24.59 25◦04.0 296◦38.9 24◦19.9 269◦12.6 22◦41.5 51◦08.3 -11◦43.4 68◦57.2 -17◦24.510 40◦06.5 311◦38.1 24◦20.1 284◦13.4 22◦41.2 66◦10.6 -11◦43.4 83◦59.7 -17◦24.511 55◦08.9 326◦37.2 24◦20.2 299◦14.3 22◦41.0 81◦12.9 -11◦43.3 99◦02.2 -17◦24.612 70◦11.4 341◦36.3 24◦20.3 314◦15.1 22◦40.7 96◦15.2 -11◦43.3 114◦04.7 -17◦24.613 85◦13.9 356◦35.4 24◦20.4 329◦15.9 22◦40.4 111◦17.6 -11◦43.2 129◦07.2 -17◦24.614 100◦16.3 11◦34.5 24◦20.5 344◦16.8 22◦40.1 126◦19.9 -11◦43.2 144◦09.7 -17◦24.615 115◦18.8 26◦33.6 24◦20.7 359◦17.6 22◦39.8 141◦22.2 -11◦43.1 159◦12.2 -17◦24.616 130◦21.3 41◦32.7 24◦20.8 14◦18.4 22◦39.6 156◦24.5 -11◦43.1 174◦14.7 -17◦24.617 145◦23.7 56◦31.8 24◦20.9 29◦19.2 22◦39.3 171◦26.8 -11◦43.0 189◦17.2 -17◦24.718 160◦26.2 71◦30.9 24◦21.0 44◦20.1 22◦39.0 186◦29.1 -11◦43.0 204◦19.7 -17◦24.719 175◦28.7 86◦30.1 24◦21.1 59◦20.9 22◦38.7 201◦31.5 -11◦43.0 219◦22.2 -17◦24.720 190◦31.1 101◦29.2 24◦21.2 74◦21.7 22◦38.5 216◦33.8 -11◦42.9 234◦24.7 -17◦24.721 205◦33.6 116◦28.3 24◦21.3 89◦22.6 22◦38.2 231◦36.1 -11◦42.9 249◦27.2 -17◦24.722 220◦36.0 131◦27.4 24◦21.4 104◦23.4 22◦37.9 246◦38.4 -11◦42.8 264◦29.7 -17◦24.723 235◦38.5 146◦26.5 24◦21.5 119◦24.2 22◦37.6 261◦40.7 -11◦42.8 279◦32.2 -17◦24.8Mer.pass.:7:20: v-0.9 d0.1 m-3.8 v0.8 d-0.3 m1.7 v2.3 d0.0 m-2.3 v2.5 d-0.0 m0.6

Wed GHA GHA Dec GHA Dec GHA Dec GHA Dec0 250◦41.0 161◦25.6 24◦21.7 134◦25.0 22◦37.4 276◦43.1 -11◦42.8 294◦34.7 -17◦24.81 265◦43.4 176◦24.7 24◦21.8 149◦25.9 22◦37.1 291◦45.4 -11◦42.7 309◦37.2 -17◦24.82 280◦45.9 191◦23.8 24◦21.9 164◦26.7 22◦36.8 306◦47.7 -11◦42.7 324◦39.7 -17◦24.83 295◦48.4 206◦22.9 24◦22.0 179◦27.5 22◦36.5 321◦50.0 -11◦42.6 339◦42.2 -17◦24.84 310◦50.8 221◦22.1 24◦22.1 194◦28.4 22◦36.2 336◦52.3 -11◦42.6 354◦44.7 -17◦24.85 325◦53.3 236◦21.2 24◦22.2 209◦29.2 22◦36.0 351◦54.7 -11◦42.5 9◦47.2 -17◦24.96 340◦55.8 251◦20.3 24◦22.3 224◦30.0 22◦35.7 6◦57.0 -11◦42.5 24◦49.7 -17◦24.97 355◦58.2 266◦19.4 24◦22.4 239◦30.9 22◦35.4 21◦59.3 -11◦42.5 39◦52.2 -17◦24.98 11◦00.7 281◦18.5 24◦22.5 254◦31.7 22◦35.1 37◦01.6 -11◦42.4 54◦54.7 -17◦24.99 26◦03.2 296◦17.6 24◦22.5 269◦32.5 22◦34.8 52◦04.0 -11◦42.4 69◦57.2 -17◦24.910 41◦05.6 311◦16.7 24◦22.6 284◦33.3 22◦34.6 67◦06.3 -11◦42.3 84◦59.7 -17◦24.911 56◦08.1 326◦15.8 24◦22.7 299◦34.2 22◦34.3 82◦08.6 -11◦42.3 100◦02.2 -17◦25.012 71◦10.5 341◦14.9 24◦22.8 314◦35.0 22◦34.0 97◦10.9 -11◦42.3 115◦04.7 -17◦25.013 86◦13.0 356◦14.1 24◦22.9 329◦35.8 22◦33.7 112◦13.3 -11◦42.2 130◦07.2 -17◦25.014 101◦15.5 11◦13.2 24◦23.0 344◦36.7 22◦33.4 127◦15.6 -11◦42.2 145◦09.7 -17◦25.015 116◦17.9 26◦12.3 24◦23.1 359◦37.5 22◦33.1 142◦17.9 -11◦42.1 160◦12.2 -17◦25.016 131◦20.4 41◦11.4 24◦23.2 14◦38.3 22◦32.9 157◦20.2 -11◦42.1 175◦14.7 -17◦25.017 146◦22.9 56◦10.5 24◦23.3 29◦39.2 22◦32.6 172◦22.6 -11◦42.1 190◦17.2 -17◦25.118 161◦25.3 71◦09.6 24◦23.3 44◦40.0 22◦32.3 187◦24.9 -11◦42.0 205◦19.7 -17◦25.119 176◦27.8 86◦08.7 24◦23.4 59◦40.8 22◦32.0 202◦27.2 -11◦42.0 220◦22.2 -17◦25.120 191◦30.3 101◦07.8 24◦23.5 74◦41.6 22◦31.7 217◦29.5 -11◦41.9 235◦24.7 -17◦25.121 206◦32.7 116◦06.9 24◦23.6 89◦42.5 22◦31.4 232◦31.9 -11◦41.9 250◦27.2 -17◦25.122 221◦35.2 131◦06.0 24◦23.7 104◦43.3 22◦31.2 247◦34.2 -11◦41.9 265◦29.7 -17◦25.223 236◦37.7 146◦05.2 24◦23.7 119◦44.1 22◦30.9 262◦36.5 -11◦41.8 280◦32.2 -17◦25.2Mer.pass.:7:16: v-0.9 d0.1 m-3.8 v0.8 d-0.3 m1.7 v2.3 d0.0 m-2.3 v2.5 d-0.0 m0.6

StarsSHA Dec

Alpheratz 357◦37.9 29◦12.2Ankaa 353◦10.3 -42◦11.3

Schedar 349◦34.6 56◦38.9Diphda 348◦50.4 -17◦52.2

Achernar 335◦22.9 -57◦07.6Hamal 327◦54.8 23◦33.6Polaris 315◦49.9 89◦21.0Akamar 315◦14.5 -40◦13.2Menkar 314◦09.5 4◦10.3Mirfak 308◦32.9 49◦56.0

Aldebaran 290◦43.4 16◦33.0Rigel 281◦07.0 -8◦10.7

Capella 280◦26.7 46◦01.1Bellatrix 278◦26.4 6◦22.0Elnath 278◦06.0 28◦37.4Alnilam 275◦41.1 -1◦11.4

Betelgeuse 270◦55.6 7◦24.6Canopus 263◦54.2 -52◦42.6

Sirius 258◦29.1 -16◦44.7Adara 255◦08.5 -29◦00.2

Procyon 244◦54.1 5◦10.3Pollux 243◦21.1 27◦58.5Avior 234◦16.3 -59◦34.9Suhail 222◦48.6 -43◦31.3

Miaplacidus 221◦39.2 -69◦48.5Alphard 217◦50.8 -8◦45.1Regulus 207◦37.6 11◦51.8Dubhe 193◦44.7 61◦38.5

Denebola 182◦27.8 14◦27.3Gienah 175◦46.4 -17◦39.7Acrux 173◦03.0 -63◦13.2

Gacrux 171◦54.6 -57◦14.1Alioth 166◦15.4 55◦50.9Spica 158◦25.2 -11◦16.3Alcaid 152◦54.0 49◦12.6Hadar 148◦39.6 -60◦28.7

Menkent 148◦00.8 -36◦28.6Arcturus 145◦50.2 19◦04.7

Rigil Kent. 139◦43.7 -60◦55.5Zubenelg. 136◦59.0 -16◦07.8Kochab 137◦18.8 74◦04.3

Alphecca 126◦05.9 26◦38.7Antares 112◦19.1 -26◦28.7

Atria 107◦15.3 -69◦03.9Sabik 102◦05.8 -15◦45.0

Shaula 96◦14.0 -37◦07.1Rasalhague 96◦01.0 12◦32.7

Etamin 90◦43.0 51◦29.1Kaus Aust. 83◦36.0 -34◦22.3

Vega 80◦34.9 38◦48.0Nunki 75◦51.1 -26◦16.1Altair 62◦02.7 8◦55.4

Peacock 53◦10.1 -56◦39.8Deneb 49◦27.5 45◦21.1

Enif 33◦41.6 9◦58.2Alnair 27◦36.6 -46◦51.3

Fomalhaut 15◦17.9 -29◦30.5Scheat 13◦48.1 28◦11.6Markab 13◦32.9 15◦19.0

2021/5/3 SHA Mer.passVenus 273◦25.5 13:12Mars 245◦02.6 15:04

Jupiter 26◦09.3 05:40Saturn 43◦52.1 04:29

2021/6/1 SHA Mer.passVenus 272◦05.1 13:14Mars 244◦23.3 15:03

Jupiter 26◦05.6 05:36Saturn 43◦52.8 04:25

2021/6/2 SHA Mer.passVenus 270◦44.6 13:15Mars 243◦44.1 15:01

Jupiter 26◦02.1 05:32Saturn 43◦53.7 04:21

Horizontal paralaxVenus: 0.1Mars: 0.1

102

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2021 May 31 to Jun. 02

h Sun MoonMon GHA Dec GHA ν Dec d HP0 180◦35.3 21◦54.9 293◦21.3 7.8 -21◦45.9 8.2 58.21 195◦35.2 21◦55.2 307◦48.1 7.9 -21◦37.6 8.3 58.22 210◦35.1 21◦55.6 322◦15.1 8.0 -21◦29.3 8.4 58.13 225◦35.0 21◦55.9 336◦42.2 8.1 -21◦20.8 8.6 58.14 240◦34.9 21◦56.3 351◦09.3 8.2 -21◦12.1 8.7 58.15 255◦34.8 21◦56.6 5◦36.6 8.4 -21◦03.4 8.8 58.06 270◦34.8 21◦57.0 20◦04.1 8.5 -20◦54.6 8.9 58.07 285◦34.7 21◦57.3 34◦31.6 8.6 -20◦45.7 9.0 57.98 300◦34.6 21◦57.7 48◦59.3 8.7 -20◦36.7 9.1 57.99 315◦34.5 21◦58.0 63◦27.1 8.8 -20◦27.5 9.2 57.910 330◦34.4 21◦58.4 77◦55.0 9.0 -20◦18.3 9.3 57.811 345◦34.3 21◦58.7 92◦23.0 9.1 -20◦08.9 9.4 57.812 0◦34.2 21◦59.1 106◦51.1 9.2 -19◦59.5 9.5 57.713 15◦34.1 21◦59.4 121◦19.4 9.3 -19◦50.0 9.6 57.714 30◦34.0 21◦59.8 135◦47.8 9.4 -19◦40.4 9.7 57.715 45◦33.9 22◦00.1 150◦16.3 9.5 -19◦30.6 9.8 57.616 60◦33.8 22◦00.5 164◦44.9 9.7 -19◦20.8 9.9 57.617 75◦33.7 22◦00.8 179◦13.6 9.8 -19◦10.9 9.9 57.518 90◦33.6 22◦01.2 193◦42.4 9.9 -19◦00.9 10.0 57.519 105◦33.5 22◦01.5 208◦11.4 10.0 -18◦50.9 10.1 57.520 120◦33.5 22◦01.8 222◦40.4 10.1 -18◦40.7 10.2 57.421 135◦33.4 22◦02.2 237◦09.6 10.2 -18◦30.5 10.3 57.422 150◦33.3 22◦02.5 251◦38.9 10.3 -18◦20.1 10.4 57.423 165◦33.2 22◦02.9 266◦08.3 10.5 -18◦09.7 10.4 57.3

SD.=15.8 d=0.4 S.D.=15.9

Tue GHA Dec GHA ν Dec d HP0 180◦33.1 22◦03.2 280◦37.8 10.6 -17◦59.2 10.5 57.31 195◦33.0 22◦03.5 295◦07.4 10.7 -17◦48.7 10.6 57.22 210◦32.9 22◦03.9 309◦37.2 10.8 -17◦38.0 10.7 57.23 225◦32.8 22◦04.2 324◦07.0 10.9 -17◦27.3 10.8 57.24 240◦32.7 22◦04.6 338◦37.0 11.0 -17◦16.5 10.8 57.15 255◦32.6 22◦04.9 353◦07.0 11.1 -17◦05.7 10.9 57.16 270◦32.5 22◦05.2 7◦37.2 11.2 -16◦54.7 11.0 57.07 285◦32.4 22◦05.6 22◦07.5 11.3 -16◦43.7 11.0 57.08 300◦32.3 22◦05.9 36◦37.9 11.4 -16◦32.7 11.1 57.09 315◦32.2 22◦06.2 51◦08.3 11.5 -16◦21.5 11.2 56.910 330◦32.1 22◦06.6 65◦38.9 11.6 -16◦10.3 11.2 56.911 345◦32.0 22◦06.9 80◦09.6 11.7 -15◦59.1 11.3 56.912 0◦31.9 22◦07.2 94◦40.4 11.8 -15◦47.7 11.4 56.813 15◦31.8 22◦07.6 109◦11.3 11.9 -15◦36.3 11.4 56.814 30◦31.7 22◦07.9 123◦42.3 12.0 -15◦24.9 11.5 56.815 45◦31.6 22◦08.2 138◦13.4 12.1 -15◦13.4 11.5 56.716 60◦31.5 22◦08.5 152◦44.6 12.2 -15◦01.8 11.6 56.717 75◦31.4 22◦08.9 167◦15.8 12.3 -14◦50.2 11.7 56.618 90◦31.3 22◦09.2 181◦47.2 12.4 -14◦38.5 11.7 56.619 105◦31.2 22◦09.5 196◦18.7 12.5 -14◦26.8 11.8 56.620 120◦31.1 22◦09.9 210◦50.3 12.6 -14◦15.0 11.8 56.521 135◦31.0 22◦10.2 225◦21.9 12.7 -14◦03.2 11.9 56.522 150◦30.9 22◦10.5 239◦53.7 12.8 -13◦51.3 11.9 56.523 165◦30.9 22◦10.8 254◦25.5 12.9 -13◦39.3 12.0 56.4

SD.=15.8 d=0.3 S.D.=15.6

Wed GHA Dec GHA ν Dec d HP0 180◦30.8 22◦11.2 268◦57.4 13.0 -13◦27.4 12.0 56.41 195◦30.7 22◦11.5 283◦29.5 13.1 -13◦15.3 12.1 56.42 210◦30.6 22◦11.8 298◦01.6 13.1 -13◦03.3 12.1 56.33 225◦30.5 22◦12.1 312◦33.8 13.2 -12◦51.1 12.1 56.34 240◦30.4 22◦12.4 327◦06.0 13.3 -12◦39.0 12.2 56.35 255◦30.3 22◦12.8 341◦38.4 13.4 -12◦26.8 12.2 56.26 270◦30.2 22◦13.1 356◦10.8 13.5 -12◦14.5 12.3 56.27 285◦30.1 22◦13.4 10◦43.4 13.6 -12◦02.2 12.3 56.28 300◦30.0 22◦13.7 25◦16.0 13.6 -11◦49.9 12.3 56.19 315◦29.9 22◦14.0 39◦48.7 13.7 -11◦37.6 12.4 56.110 330◦29.8 22◦14.3 54◦21.4 13.8 -11◦25.2 12.4 56.111 345◦29.7 22◦14.7 68◦54.3 13.9 -11◦12.7 12.4 56.012 0◦29.6 22◦15.0 83◦27.2 14.0 -11◦00.3 12.5 56.013 15◦29.5 22◦15.3 98◦00.2 14.0 -10◦47.8 12.5 56.014 30◦29.3 22◦15.6 112◦33.2 14.1 -10◦35.2 12.5 55.915 45◦29.2 22◦15.9 127◦06.4 14.2 -10◦22.7 12.6 55.916 60◦29.1 22◦16.2 141◦39.6 14.2 -10◦10.1 12.6 55.917 75◦29.0 22◦16.5 156◦12.8 14.3 -9◦57.5 12.6 55.918 90◦28.9 22◦16.9 170◦46.2 14.4 -9◦44.8 12.7 55.819 105◦28.8 22◦17.2 185◦19.6 14.4 -9◦32.1 12.7 55.820 120◦28.7 22◦17.5 199◦53.1 14.5 -9◦19.4 12.7 55.821 135◦28.6 22◦17.8 214◦26.6 14.6 -9◦06.7 12.7 55.722 150◦28.5 22◦18.1 229◦00.3 14.6 -8◦53.9 12.8 55.723 165◦28.4 22◦18.4 243◦33.9 14.7 -8◦41.1 12.8 55.7

SD.=15.8 d=0.3 S.D.=15.4

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 –:– –:– –:– –:– –:– –:–70 –:– –:– –:– –:– –:– –:–68 –:– –:– –:– –:– –:– –:–66 –:– –:– 01:12 22:48 –:– –:–64 –:– –:– 01:58 22:00 –:– –:–62 –:– –:– 02:27 21:30 –:– –:–60 –:– 01:26 02:49 21:08 22:33 –:–58 –:– 01:60 03:07 20:50 21:58 –:–56 –:– 02:24 03:22 20:35 21:33 –:–54 01:18 02:44 03:35 20:22 21:13 22:4052 01:50 02:59 03:46 20:11 20:57 22:0850 02:13 03:13 03:56 20:01 20:43 21:4445 02:53 03:40 04:17 19:40 20:16 21:0440 03:21 04:01 04:33 19:23 19:55 20:3635 03:42 04:18 04:47 19:09 19:38 20:1430 03:60 04:32 04:59 18:57 19:24 19:5620 04:27 04:56 05:20 18:36 19:00 19:2910 04:48 05:15 05:38 18:18 18:41 19:080 05:06 05:32 05:54 18:01 18:24 18:50-10 05:22 05:48 06:11 17:45 18:08 18:34-20 05:37 06:04 06:28 17:28 17:51 18:19-30 05:52 06:22 06:48 17:08 17:34 18:03-35 06:00 06:32 06:59 16:56 17:24 17:55-40 06:09 06:42 07:13 16:43 17:13 17:47-45 06:18 06:55 07:28 16:27 17:01 17:37-50 06:29 07:10 07:47 16:08 16:46 17:27-52 06:34 07:16 07:56 15:59 16:39 17:22-54 06:39 07:24 08:07 15:49 16:31 17:17-56 06:44 07:32 08:18 15:37 16:23 17:11-58 06:50 07:41 08:31 15:24 16:14 17:05-60 06:57 07:52 08:47 15:09 16:03 16:59

Moonrise MoonsetLat. Mon Tue Wed Mon Tue Wed72 –:– 04:22 03:10 –:– 06:56 09:4670 –:– 03:25 02:47 –:– 07:51 10:0768 03:38 02:50 02:29 05:49 08:24 10:2366 02:42 02:25 02:15 06:44 08:48 10:3664 02:09 02:06 02:03 07:17 09:06 10:4662 01:44 01:50 01:52 07:41 09:21 10:5660 01:24 01:36 01:44 07:60 09:34 11:0358 01:08 01:25 01:36 08:16 09:45 11:1056 00:54 01:15 01:29 08:29 09:54 11:1654 00:42 01:06 01:23 08:40 10:03 11:2152 00:31 00:58 01:17 08:51 10:10 11:2650 00:22 00:50 01:12 08:60 10:17 11:3045 00:02 00:35 01:01 09:19 10:31 11:4040 –:– 00:22 00:52 09:34 10:42 11:4735 –:– 00:11 00:44 09:47 10:52 11:5430 –:– 00:01 00:37 09:58 11:01 11:6020 23:45 –:– 00:25 10:17 11:15 12:1010 23:30 –:– 00:15 10:34 11:28 12:180 23:17 –:– 00:05 10:50 11:40 12:27-10 23:03 23:55 –:– 11:05 11:52 12:35-20 22:48 23:44 –:– 11:21 12:05 12:43-30 22:31 23:32 –:– 11:40 12:19 12:53-35 22:21 23:25 –:– 11:51 12:27 12:58-40 22:10 23:17 –:– 12:03 12:36 13:04-45 21:57 23:07 –:– 12:17 12:47 13:11-50 21:40 22:56 –:– 12:35 13:00 13:20-52 21:33 22:50 –:– 12:43 13:06 13:24-54 21:24 22:44 –:– 12:53 13:13 13:28-56 21:14 22:38 23:57 13:03 13:20 13:33-58 21:03 22:30 23:53 13:15 13:29 13:38-60 20:50 22:22 23:48 13:28 13:38 13:44

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower31 02:21 02:17 11:57 04:36 17:03 20(69%)1 02:12 02:08 11:57 05:28 17:52 21(58%)2 02:03 01:58 11:58 06:15 18:38 22(48%)

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June 03, 04 ,05 (Thu., Fri., Sat.)Aries Venus Mars Jupiter Saturn

Thu GHA GHA Dec GHA Dec GHA Dec GHA Dec0 251◦40.1 161◦04.3 24◦23.8 134◦45.0 22◦30.6 277◦38.8 -11◦41.8 295◦34.7 -17◦25.21 266◦42.6 176◦03.4 24◦23.9 149◦45.8 22◦30.3 292◦41.2 -11◦41.7 310◦37.2 -17◦25.22 281◦45.0 191◦02.5 24◦24.0 164◦46.6 22◦30.0 307◦43.5 -11◦41.7 325◦39.7 -17◦25.23 296◦47.5 206◦01.6 24◦24.0 179◦47.5 22◦29.7 322◦45.8 -11◦41.7 340◦42.3 -17◦25.24 311◦50.0 221◦00.7 24◦24.1 194◦48.3 22◦29.4 337◦48.2 -11◦41.6 355◦44.8 -17◦25.35 326◦52.4 235◦59.8 24◦24.2 209◦49.1 22◦29.2 352◦50.5 -11◦41.6 10◦47.3 -17◦25.36 341◦54.9 250◦58.9 24◦24.2 224◦50.0 22◦28.9 7◦52.8 -11◦41.5 25◦49.8 -17◦25.37 356◦57.4 265◦58.0 24◦24.3 239◦50.8 22◦28.6 22◦55.1 -11◦41.5 40◦52.3 -17◦25.38 11◦59.8 280◦57.1 24◦24.4 254◦51.6 22◦28.3 37◦57.5 -11◦41.5 55◦54.8 -17◦25.39 27◦02.3 295◦56.2 24◦24.4 269◦52.5 22◦28.0 52◦59.8 -11◦41.4 70◦57.3 -17◦25.410 42◦04.8 310◦55.4 24◦24.5 284◦53.3 22◦27.7 68◦02.1 -11◦41.4 85◦59.8 -17◦25.411 57◦07.2 325◦54.5 24◦24.6 299◦54.1 22◦27.4 83◦04.5 -11◦41.4 101◦02.3 -17◦25.412 72◦09.7 340◦53.6 24◦24.6 314◦54.9 22◦27.1 98◦06.8 -11◦41.3 116◦04.8 -17◦25.413 87◦12.1 355◦52.7 24◦24.7 329◦55.8 22◦26.9 113◦09.1 -11◦41.3 131◦07.3 -17◦25.414 102◦14.6 10◦51.8 24◦24.7 344◦56.6 22◦26.6 128◦11.5 -11◦41.2 146◦09.8 -17◦25.415 117◦17.1 25◦50.9 24◦24.8 359◦57.4 22◦26.3 143◦13.8 -11◦41.2 161◦12.3 -17◦25.516 132◦19.5 40◦50.0 24◦24.9 14◦58.3 22◦26.0 158◦16.1 -11◦41.2 176◦14.8 -17◦25.517 147◦22.0 55◦49.1 24◦24.9 29◦59.1 22◦25.7 173◦18.5 -11◦41.1 191◦17.3 -17◦25.518 162◦24.5 70◦48.2 24◦25.0 44◦59.9 22◦25.4 188◦20.8 -11◦41.1 206◦19.9 -17◦25.519 177◦26.9 85◦47.3 24◦25.0 60◦00.8 22◦25.1 203◦23.1 -11◦41.1 221◦22.4 -17◦25.520 192◦29.4 100◦46.5 24◦25.1 75◦01.6 22◦24.8 218◦25.5 -11◦41.0 236◦24.9 -17◦25.621 207◦31.9 115◦45.6 24◦25.1 90◦02.4 22◦24.5 233◦27.8 -11◦41.0 251◦27.4 -17◦25.622 222◦34.3 130◦44.7 24◦25.2 105◦03.3 22◦24.2 248◦30.1 -11◦40.9 266◦29.9 -17◦25.623 237◦36.8 145◦43.8 24◦25.2 120◦04.1 22◦24.0 263◦32.5 -11◦40.9 281◦32.4 -17◦25.6Mer.pass.:7:12: v-0.9 d0.1 m-3.8 v0.8 d-0.3 m1.7 v2.3 d0.0 m-2.3 v2.5 d-0.0 m0.6

Fri GHA GHA Dec GHA Dec GHA Dec GHA Dec0 252◦39.3 160◦42.9 24◦25.3 135◦04.9 22◦23.7 278◦34.8 -11◦40.9 296◦34.9 -17◦25.61 267◦41.7 175◦42.0 24◦25.3 150◦05.8 22◦23.4 293◦37.1 -11◦40.8 311◦37.4 -17◦25.72 282◦44.2 190◦41.1 24◦25.4 165◦06.6 22◦23.1 308◦39.5 -11◦40.8 326◦39.9 -17◦25.73 297◦46.6 205◦40.2 24◦25.4 180◦07.4 22◦22.8 323◦41.8 -11◦40.8 341◦42.4 -17◦25.74 312◦49.1 220◦39.3 24◦25.4 195◦08.3 22◦22.5 338◦44.1 -11◦40.7 356◦44.9 -17◦25.75 327◦51.6 235◦38.4 24◦25.5 210◦09.1 22◦22.2 353◦46.5 -11◦40.7 11◦47.5 -17◦25.76 342◦54.0 250◦37.5 24◦25.5 225◦09.9 22◦21.9 8◦48.8 -11◦40.7 26◦50.0 -17◦25.77 357◦56.5 265◦36.7 24◦25.5 240◦10.8 22◦21.6 23◦51.1 -11◦40.6 41◦52.5 -17◦25.88 12◦59.0 280◦35.8 24◦25.6 255◦11.6 22◦21.3 38◦53.5 -11◦40.6 56◦55.0 -17◦25.89 28◦01.4 295◦34.9 24◦25.6 270◦12.4 22◦21.0 53◦55.8 -11◦40.5 71◦57.5 -17◦25.810 43◦03.9 310◦34.0 24◦25.7 285◦13.3 22◦20.7 68◦58.2 -11◦40.5 87◦00.0 -17◦25.811 58◦06.4 325◦33.1 24◦25.7 300◦14.1 22◦20.4 84◦00.5 -11◦40.5 102◦02.5 -17◦25.812 73◦08.8 340◦32.2 24◦25.7 315◦14.9 22◦20.1 99◦02.8 -11◦40.4 117◦05.0 -17◦25.913 88◦11.3 355◦31.3 24◦25.7 330◦15.8 22◦19.9 114◦05.2 -11◦40.4 132◦07.5 -17◦25.914 103◦13.7 10◦30.4 24◦25.8 345◦16.6 22◦19.6 129◦07.5 -11◦40.4 147◦10.0 -17◦25.915 118◦16.2 25◦29.5 24◦25.8 0◦17.5 22◦19.3 144◦09.8 -11◦40.3 162◦12.6 -17◦25.916 133◦18.7 40◦28.6 24◦25.8 15◦18.3 22◦19.0 159◦12.2 -11◦40.3 177◦15.1 -17◦25.917 148◦21.1 55◦27.8 24◦25.9 30◦19.1 22◦18.7 174◦14.5 -11◦40.3 192◦17.6 -17◦26.018 163◦23.6 70◦26.9 24◦25.9 45◦20.0 22◦18.4 189◦16.9 -11◦40.2 207◦20.1 -17◦26.019 178◦26.1 85◦26.0 24◦25.9 60◦20.8 22◦18.1 204◦19.2 -11◦40.2 222◦22.6 -17◦26.020 193◦28.5 100◦25.1 24◦25.9 75◦21.6 22◦17.8 219◦21.5 -11◦40.2 237◦25.1 -17◦26.021 208◦31.0 115◦24.2 24◦25.9 90◦22.5 22◦17.5 234◦23.9 -11◦40.1 252◦27.6 -17◦26.022 223◦33.5 130◦23.3 24◦26.0 105◦23.3 22◦17.2 249◦26.2 -11◦40.1 267◦30.1 -17◦26.123 238◦35.9 145◦22.4 24◦26.0 120◦24.1 22◦16.9 264◦28.6 -11◦40.1 282◦32.7 -17◦26.1Mer.pass.:7:08: v-0.9 d0.0 m-3.8 v0.8 d-0.3 m1.7 v2.3 d0.0 m-2.3 v2.5 d-0.0 m0.6

Sat GHA GHA Dec GHA Dec GHA Dec GHA Dec0 253◦38.4 160◦21.5 24◦26.0 135◦25.0 22◦16.6 279◦30.9 -11◦40.0 297◦35.2 -17◦26.11 268◦40.9 175◦20.6 24◦26.0 150◦25.8 22◦16.3 294◦33.3 -11◦40.0 312◦37.7 -17◦26.12 283◦43.3 190◦19.7 24◦26.0 165◦26.6 22◦16.0 309◦35.6 -11◦40.0 327◦40.2 -17◦26.13 298◦45.8 205◦18.8 24◦26.0 180◦27.5 22◦15.7 324◦37.9 -11◦39.9 342◦42.7 -17◦26.24 313◦48.2 220◦18.0 24◦26.0 195◦28.3 22◦15.4 339◦40.3 -11◦39.9 357◦45.2 -17◦26.25 328◦50.7 235◦17.1 24◦26.0 210◦29.1 22◦15.1 354◦42.6 -11◦39.9 12◦47.7 -17◦26.26 343◦53.2 250◦16.2 24◦26.1 225◦30.0 22◦14.8 9◦45.0 -11◦39.8 27◦50.2 -17◦26.27 358◦55.6 265◦15.3 24◦26.1 240◦30.8 22◦14.5 24◦47.3 -11◦39.8 42◦52.8 -17◦26.28 13◦58.1 280◦14.4 24◦26.1 255◦31.7 22◦14.2 39◦49.7 -11◦39.8 57◦55.3 -17◦26.39 29◦00.6 295◦13.5 24◦26.1 270◦32.5 22◦13.9 54◦52.0 -11◦39.7 72◦57.8 -17◦26.310 44◦03.0 310◦12.6 24◦26.1 285◦33.3 22◦13.6 69◦54.3 -11◦39.7 88◦00.3 -17◦26.311 59◦05.5 325◦11.7 24◦26.1 300◦34.2 22◦13.3 84◦56.7 -11◦39.7 103◦02.8 -17◦26.312 74◦08.0 340◦10.8 24◦26.1 315◦35.0 22◦13.0 99◦59.0 -11◦39.6 118◦05.3 -17◦26.313 89◦10.4 355◦09.9 24◦26.1 330◦35.8 22◦12.7 115◦01.4 -11◦39.6 133◦07.8 -17◦26.414 104◦12.9 10◦09.1 24◦26.1 345◦36.7 22◦12.4 130◦03.7 -11◦39.6 148◦10.4 -17◦26.415 119◦15.4 25◦08.2 24◦26.1 0◦37.5 22◦12.1 145◦06.1 -11◦39.5 163◦12.9 -17◦26.416 134◦17.8 40◦07.3 24◦26.1 15◦38.3 22◦11.8 160◦08.4 -11◦39.5 178◦15.4 -17◦26.417 149◦20.3 55◦06.4 24◦26.1 30◦39.2 22◦11.5 175◦10.8 -11◦39.5 193◦17.9 -17◦26.518 164◦22.7 70◦05.5 24◦26.1 45◦40.0 22◦11.2 190◦13.1 -11◦39.4 208◦20.4 -17◦26.519 179◦25.2 85◦04.6 24◦26.1 60◦40.9 22◦10.9 205◦15.5 -11◦39.4 223◦22.9 -17◦26.520 194◦27.7 100◦03.7 24◦26.0 75◦41.7 22◦10.6 220◦17.8 -11◦39.4 238◦25.5 -17◦26.521 209◦30.1 115◦02.8 24◦26.0 90◦42.5 22◦10.3 235◦20.2 -11◦39.3 253◦28.0 -17◦26.522 224◦32.6 130◦01.9 24◦26.0 105◦43.4 22◦10.0 250◦22.5 -11◦39.3 268◦30.5 -17◦26.623 239◦35.1 145◦01.0 24◦26.0 120◦44.2 22◦09.7 265◦24.9 -11◦39.3 283◦33.0 -17◦26.6Mer.pass.:7:04: v-0.9 d0.0 m-3.8 v0.8 d-0.3 m1.7 v2.3 d0.0 m-2.3 v2.5 d-0.0 m0.5

StarsSHA Dec

Alpheratz 357◦37.9 29◦12.2Ankaa 353◦10.3 -42◦11.3

Schedar 349◦34.6 56◦38.9Diphda 348◦50.3 -17◦52.2

Achernar 335◦22.9 -57◦07.6Hamal 327◦54.8 23◦33.6Polaris 315◦49.3 89◦21.0Akamar 315◦14.4 -40◦13.2Menkar 314◦09.5 4◦10.3Mirfak 308◦32.9 49◦56.0

Aldebaran 290◦43.4 16◦33.0Rigel 281◦07.0 -8◦10.7

Capella 280◦26.7 46◦01.1Bellatrix 278◦26.4 6◦22.0Elnath 278◦06.0 28◦37.4Alnilam 275◦41.1 -1◦11.4

Betelgeuse 270◦55.6 7◦24.6Canopus 263◦54.2 -52◦42.6

Sirius 258◦29.1 -16◦44.7Adara 255◦08.5 -29◦00.2

Procyon 244◦54.1 5◦10.3Pollux 243◦21.1 27◦58.5Avior 234◦16.3 -59◦34.9Suhail 222◦48.6 -43◦31.3

Miaplacidus 221◦39.2 -69◦48.5Alphard 217◦50.8 -8◦45.1Regulus 207◦37.6 11◦51.9Dubhe 193◦44.7 61◦38.5

Denebola 182◦27.8 14◦27.3Gienah 175◦46.5 -17◦39.7Acrux 173◦03.0 -63◦13.2

Gacrux 171◦54.6 -57◦14.2Alioth 166◦15.4 55◦50.9Spica 158◦25.2 -11◦16.3Alcaid 152◦54.0 49◦12.7Hadar 148◦39.6 -60◦28.7

Menkent 148◦00.8 -36◦28.6Arcturus 145◦50.2 19◦04.7

Rigil Kent. 139◦43.7 -60◦55.5Zubenelg. 136◦59.0 -16◦07.8Kochab 137◦18.8 74◦04.3

Alphecca 126◦05.9 26◦38.7Antares 112◦19.1 -26◦28.7

Atria 107◦15.3 -69◦03.9Sabik 102◦05.8 -15◦45.0

Shaula 96◦14.0 -37◦07.1Rasalhague 96◦01.0 12◦32.7

Etamin 90◦43.0 51◦29.1Kaus Aust. 83◦36.0 -34◦22.4

Vega 80◦34.8 38◦48.1Nunki 75◦51.1 -26◦16.1Altair 62◦02.6 8◦55.4

Peacock 53◦10.0 -56◦39.8Deneb 49◦27.5 45◦21.1

Enif 33◦41.6 9◦58.2Alnair 27◦36.6 -46◦51.3

Fomalhaut 15◦17.9 -29◦30.5Scheat 13◦48.1 28◦11.6Markab 13◦32.8 15◦19.0

2021/6/3 SHA Mer.passVenus 269◦24.1 13:17Mars 243◦04.9 15:00

Jupiter 25◦58.7 05:29Saturn 43◦54.6 04:17

2021/6/4 SHA Mer.passVenus 268◦03.6 13:18Mars 242◦25.7 14:59

Jupiter 25◦55.5 05:25Saturn 43◦55.7 04:13

2021/6/5 SHA Mer.passVenus 266◦43.1 13:19Mars 241◦46.6 14:58

Jupiter 25◦52.5 05:21Saturn 43◦56.8 04:09

Horizontal paralaxVenus: 0.1Mars: 0.1

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2021 June 03 to Jun. 05

h Sun MoonThu GHA Dec GHA ν Dec d HP0 180◦28.3 22◦18.7 258◦07.7 14.8 -8◦28.3 12.8 55.61 195◦28.2 22◦19.0 272◦41.5 14.8 -8◦15.5 12.8 55.62 210◦28.1 22◦19.3 287◦15.3 14.9 -8◦02.7 12.9 55.63 225◦28.0 22◦19.6 301◦49.2 14.9 -7◦49.8 12.9 55.64 240◦27.9 22◦19.9 316◦23.2 15.0 -7◦36.9 12.9 55.55 255◦27.8 22◦20.2 330◦57.2 15.1 -7◦24.0 12.9 55.56 270◦27.7 22◦20.5 345◦31.3 15.1 -7◦11.1 12.9 55.57 285◦27.6 22◦20.8 0◦05.5 15.2 -6◦58.1 12.9 55.48 300◦27.5 22◦21.1 14◦39.6 15.2 -6◦45.2 13.0 55.49 315◦27.4 22◦21.5 29◦13.9 15.3 -6◦32.2 13.0 55.410 330◦27.3 22◦21.8 43◦48.2 15.3 -6◦19.2 13.0 55.411 345◦27.2 22◦22.1 58◦22.5 15.4 -6◦06.2 13.0 55.312 0◦27.1 22◦22.3 72◦56.9 15.4 -5◦53.2 13.0 55.313 15◦27.0 22◦22.6 87◦31.4 15.5 -5◦40.2 13.0 55.314 30◦26.9 22◦22.9 102◦05.8 15.5 -5◦27.2 13.0 55.315 45◦26.8 22◦23.2 116◦40.4 15.5 -5◦14.1 13.0 55.216 60◦26.7 22◦23.5 131◦14.9 15.6 -5◦01.1 13.1 55.217 75◦26.5 22◦23.8 145◦49.5 15.6 -4◦48.0 13.1 55.218 90◦26.4 22◦24.1 160◦24.2 15.7 -4◦35.0 13.1 55.219 105◦26.3 22◦24.4 174◦58.9 15.7 -4◦21.9 13.1 55.120 120◦26.2 22◦24.7 189◦33.6 15.8 -4◦08.8 13.1 55.121 135◦26.1 22◦25.0 204◦08.4 15.8 -3◦55.7 13.1 55.122 150◦26.0 22◦25.3 218◦43.2 15.8 -3◦42.6 13.1 55.123 165◦25.9 22◦25.6 233◦18.1 15.9 -3◦29.5 13.1 55.0

SD.=15.8 d=0.3 S.D.=15.2

Fri GHA Dec GHA ν Dec d HP0 180◦25.8 22◦25.9 247◦52.9 15.9 -3◦16.4 13.1 55.01 195◦25.7 22◦26.2 262◦27.8 15.9 -3◦03.3 13.1 55.02 210◦25.6 22◦26.5 277◦02.8 16.0 -2◦50.2 13.1 55.03 225◦25.5 22◦26.8 291◦37.8 16.0 -2◦37.1 13.1 55.04 240◦25.4 22◦27.0 306◦12.8 16.0 -2◦24.0 13.1 54.95 255◦25.3 22◦27.3 320◦47.8 16.0 -2◦10.9 13.1 54.96 270◦25.2 22◦27.6 335◦22.9 16.1 -1◦57.8 13.1 54.97 285◦25.1 22◦27.9 349◦57.9 16.1 -1◦44.7 13.1 54.98 300◦24.9 22◦28.2 4◦33.1 16.1 -1◦31.6 13.1 54.99 315◦24.8 22◦28.5 19◦08.2 16.1 -1◦18.5 13.1 54.810 330◦24.7 22◦28.8 33◦43.4 16.2 -1◦05.4 13.1 54.811 345◦24.6 22◦29.0 48◦18.5 16.2 -0◦52.3 13.1 54.812 0◦24.5 22◦29.3 62◦53.7 16.2 -0◦39.3 13.1 54.813 15◦24.4 22◦29.6 77◦29.0 16.2 -0◦26.2 13.1 54.814 30◦24.3 22◦29.9 92◦04.2 16.3 -0◦13.1 13.1 54.715 45◦24.2 22◦30.2 106◦39.5 16.3 -0◦00.1 13.1 54.716 60◦24.1 22◦30.5 121◦14.7 16.3 0◦13.0 13.0 54.717 75◦24.0 22◦30.7 135◦50.0 16.3 0◦26.0 13.0 54.718 90◦23.9 22◦31.0 150◦25.4 16.3 0◦39.1 13.0 54.719 105◦23.7 22◦31.3 165◦00.7 16.3 0◦52.1 13.0 54.620 120◦23.6 22◦31.6 179◦36.0 16.3 1◦05.1 13.0 54.621 135◦23.5 22◦31.8 194◦11.4 16.4 1◦18.1 13.0 54.622 150◦23.4 22◦32.1 208◦46.7 16.4 1◦31.1 13.0 54.623 165◦23.3 22◦32.4 223◦22.1 16.4 1◦44.1 13.0 54.6

SD.=15.8 d=0.3 S.D.=15.0

Sat GHA Dec GHA ν Dec d HP0 180◦23.2 22◦32.7 237◦57.5 16.4 1◦57.1 13.0 54.61 195◦23.1 22◦32.9 252◦32.8 16.4 2◦10.0 12.9 54.52 210◦23.0 22◦33.2 267◦08.2 16.4 2◦22.9 12.9 54.53 225◦22.9 22◦33.5 281◦43.6 16.4 2◦35.9 12.9 54.54 240◦22.7 22◦33.8 296◦19.0 16.4 2◦48.8 12.9 54.55 255◦22.6 22◦34.0 310◦54.4 16.4 3◦01.6 12.9 54.56 270◦22.5 22◦34.3 325◦29.8 16.4 3◦14.5 12.9 54.57 285◦22.4 22◦34.6 340◦05.2 16.4 3◦27.4 12.8 54.48 300◦22.3 22◦34.8 354◦40.6 16.4 3◦40.2 12.8 54.49 315◦22.2 22◦35.1 9◦16.0 16.4 3◦53.0 12.8 54.410 330◦22.1 22◦35.4 23◦51.4 16.4 4◦05.8 12.8 54.411 345◦22.0 22◦35.6 38◦26.8 16.4 4◦18.6 12.8 54.412 0◦21.9 22◦35.9 53◦02.2 16.4 4◦31.3 12.7 54.413 15◦21.7 22◦36.2 67◦37.6 16.4 4◦44.1 12.7 54.414 30◦21.6 22◦36.4 82◦13.0 16.4 4◦56.8 12.7 54.415 45◦21.5 22◦36.7 96◦48.4 16.4 5◦09.4 12.7 54.316 60◦21.4 22◦37.0 111◦23.8 16.4 5◦22.1 12.6 54.317 75◦21.3 22◦37.2 125◦59.1 16.4 5◦34.7 12.6 54.318 90◦21.2 22◦37.5 140◦34.5 16.3 5◦47.3 12.6 54.319 105◦21.1 22◦37.8 155◦09.8 16.3 5◦59.9 12.6 54.320 120◦20.9 22◦38.0 169◦45.2 16.3 6◦12.5 12.5 54.321 135◦20.8 22◦38.3 184◦20.5 16.3 6◦25.0 12.5 54.322 150◦20.7 22◦38.5 198◦55.8 16.3 6◦37.5 12.5 54.323 165◦20.6 22◦38.8 213◦31.1 16.3 6◦50.0 12.5 54.2

SD.=15.8 d=0.3 S.D.=14.9

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 –:– –:– –:– –:– –:– –:–70 –:– –:– –:– –:– –:– –:–68 –:– –:– –:– –:– –:– –:–66 –:– –:– 00:58 23:03 –:– –:–64 –:– –:– 01:51 22:08 –:– –:–62 –:– –:– 02:22 21:36 –:– –:–60 –:– 01:17 02:45 21:13 22:42 –:–58 –:– 01:54 03:04 20:54 22:04 –:–56 –:– 02:20 03:19 20:38 21:38 –:–54 01:10 02:40 03:32 20:25 21:18 22:4952 01:45 02:57 03:44 20:14 21:01 22:1350 02:09 03:11 03:54 20:03 20:47 21:4945 02:50 03:38 04:15 19:42 20:19 21:0740 03:19 03:60 04:32 19:25 19:57 20:3835 03:41 04:17 04:46 19:11 19:40 20:1630 03:59 04:32 04:59 18:58 19:25 19:5820 04:27 04:55 05:20 18:37 19:01 19:3010 04:48 05:15 05:38 18:19 18:42 19:090 05:06 05:32 05:55 18:02 18:24 18:50-10 05:23 05:49 06:11 17:45 18:08 18:34-20 05:38 06:05 06:29 17:28 17:51 18:19-30 05:53 06:23 06:49 17:07 17:33 18:03-35 06:02 06:33 07:01 16:55 17:23 17:55-40 06:11 06:44 07:15 16:42 17:12 17:46-45 06:20 06:57 07:31 16:26 16:59 17:36-50 06:31 07:12 07:50 16:06 16:44 17:25-52 06:36 07:19 07:59 15:57 16:37 17:20-54 06:41 07:27 08:10 15:47 16:30 17:15-56 06:47 07:35 08:22 15:35 16:21 17:09-58 06:53 07:45 08:35 15:21 16:11 17:03-60 07:00 07:56 08:51 15:05 16:01 16:56

Moonrise MoonsetLat. Thu Fri Sat Thu Fri Sat72 02:35 02:08 01:44 11:52 13:47 15:3970 02:23 02:04 01:46 12:01 13:47 15:3168 02:14 02:01 01:49 12:08 13:48 15:2566 02:06 01:58 01:51 12:15 13:48 15:2064 01:59 01:56 01:53 12:20 13:48 15:1562 01:54 01:54 01:54 12:24 13:49 15:1260 01:48 01:52 01:56 12:28 13:49 15:0858 01:44 01:51 01:57 12:31 13:49 15:0656 01:40 01:49 01:58 12:34 13:49 15:0354 01:36 01:48 01:59 12:37 13:49 15:0152 01:33 01:47 01:60 12:39 13:50 14:5950 01:30 01:46 02:01 12:41 13:50 14:5745 01:24 01:44 02:02 12:46 13:50 14:5340 01:18 01:42 02:04 12:50 13:50 14:4935 01:13 01:40 02:05 12:53 13:50 14:4630 01:09 01:38 02:07 12:56 13:50 14:4420 01:02 01:36 02:09 13:01 13:51 14:3910 00:55 01:34 02:10 13:06 13:51 14:350 00:49 01:31 02:12 13:10 13:51 14:32-10 00:43 01:29 02:14 13:14 13:51 14:28-20 00:37 01:27 02:16 13:18 13:51 14:24-30 00:29 01:24 02:18 13:23 13:52 14:20-35 00:25 01:23 02:19 13:26 13:52 14:17-40 00:20 01:21 02:21 13:29 13:52 14:14-45 00:14 01:19 02:22 13:33 13:52 14:11-50 00:08 01:17 02:24 13:37 13:52 14:07-52 00:04 01:16 02:25 13:39 13:52 14:05-54 00:01 01:15 02:26 13:41 13:52 14:03-56 –:– 01:13 02:28 13:43 13:52 14:01-58 –:– 01:12 02:29 13:46 13:52 13:59-60 –:– 01:10 02:30 13:49 13:52 13:56

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower3 01:53 01:48 11:58 06:59 19:20 23(38%)4 01:43 01:38 11:58 07:41 20:01 24(29%)5 01:33 01:27 11:58 08:21 20:42 25(21%)

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June 06, 07 ,08 (Sun., Mon., Tue.)Aries Venus Mars Jupiter Saturn

Sun GHA GHA Dec GHA Dec GHA Dec GHA Dec0 254◦37.5 160◦00.2 24◦26.0 135◦45.0 22◦09.4 280◦27.2 -11◦39.2 298◦35.5 -17◦26.61 269◦40.0 174◦59.3 24◦26.0 150◦45.9 22◦09.1 295◦29.6 -11◦39.2 313◦38.0 -17◦26.62 284◦42.5 189◦58.4 24◦26.0 165◦46.7 22◦08.8 310◦31.9 -11◦39.2 328◦40.6 -17◦26.63 299◦44.9 204◦57.5 24◦25.9 180◦47.6 22◦08.5 325◦34.3 -11◦39.2 343◦43.1 -17◦26.74 314◦47.4 219◦56.6 24◦25.9 195◦48.4 22◦08.2 340◦36.6 -11◦39.1 358◦45.6 -17◦26.75 329◦49.8 234◦55.7 24◦25.9 210◦49.2 22◦07.8 355◦39.0 -11◦39.1 13◦48.1 -17◦26.76 344◦52.3 249◦54.8 24◦25.9 225◦50.1 22◦07.5 10◦41.3 -11◦39.1 28◦50.6 -17◦26.77 359◦54.8 264◦53.9 24◦25.9 240◦50.9 22◦07.2 25◦43.7 -11◦39.0 43◦53.1 -17◦26.78 14◦57.2 279◦53.0 24◦25.8 255◦51.7 22◦06.9 40◦46.0 -11◦39.0 58◦55.7 -17◦26.89 29◦59.7 294◦52.2 24◦25.8 270◦52.6 22◦06.6 55◦48.4 -11◦39.0 73◦58.2 -17◦26.810 45◦02.2 309◦51.3 24◦25.8 285◦53.4 22◦06.3 70◦50.7 -11◦38.9 89◦00.7 -17◦26.811 60◦04.6 324◦50.4 24◦25.8 300◦54.3 22◦06.0 85◦53.1 -11◦38.9 104◦03.2 -17◦26.812 75◦07.1 339◦49.5 24◦25.7 315◦55.1 22◦05.7 100◦55.4 -11◦38.9 119◦05.7 -17◦26.913 90◦09.6 354◦48.6 24◦25.7 330◦55.9 22◦05.4 115◦57.8 -11◦38.9 134◦08.3 -17◦26.914 105◦12.0 9◦47.7 24◦25.7 345◦56.8 22◦05.1 131◦00.1 -11◦38.8 149◦10.8 -17◦26.915 120◦14.5 24◦46.8 24◦25.6 0◦57.6 22◦04.8 146◦02.5 -11◦38.8 164◦13.3 -17◦26.916 135◦17.0 39◦45.9 24◦25.6 15◦58.5 22◦04.5 161◦04.8 -11◦38.8 179◦15.8 -17◦26.917 150◦19.4 54◦45.0 24◦25.6 30◦59.3 22◦04.2 176◦07.2 -11◦38.7 194◦18.3 -17◦27.018 165◦21.9 69◦44.2 24◦25.5 46◦00.1 22◦03.9 191◦09.6 -11◦38.7 209◦20.9 -17◦27.019 180◦24.3 84◦43.3 24◦25.5 61◦01.0 22◦03.5 206◦11.9 -11◦38.7 224◦23.4 -17◦27.020 195◦26.8 99◦42.4 24◦25.5 76◦01.8 22◦03.2 221◦14.3 -11◦38.7 239◦25.9 -17◦27.021 210◦29.3 114◦41.5 24◦25.4 91◦02.6 22◦02.9 236◦16.6 -11◦38.6 254◦28.4 -17◦27.122 225◦31.7 129◦40.6 24◦25.4 106◦03.5 22◦02.6 251◦19.0 -11◦38.6 269◦30.9 -17◦27.123 240◦34.2 144◦39.7 24◦25.3 121◦04.3 22◦02.3 266◦21.3 -11◦38.6 284◦33.5 -17◦27.1Mer.pass.:7:00: v-0.9 d-0.0 m-3.8 v0.8 d-0.3 m1.7 v2.3 d0.0 m-2.3 v2.5 d-0.0 m0.5

Mon GHA GHA Dec GHA Dec GHA Dec GHA Dec0 255◦36.7 159◦38.8 24◦25.3 136◦05.2 22◦02.0 281◦23.7 -11◦38.5 299◦36.0 -17◦27.11 270◦39.1 174◦37.9 24◦25.2 151◦06.0 22◦01.7 296◦26.0 -11◦38.5 314◦38.5 -17◦27.12 285◦41.6 189◦37.1 24◦25.2 166◦06.8 22◦01.4 311◦28.4 -11◦38.5 329◦41.0 -17◦27.23 300◦44.1 204◦36.2 24◦25.1 181◦07.7 22◦01.1 326◦30.8 -11◦38.5 344◦43.5 -17◦27.24 315◦46.5 219◦35.3 24◦25.1 196◦08.5 22◦00.8 341◦33.1 -11◦38.4 359◦46.1 -17◦27.25 330◦49.0 234◦34.4 24◦25.0 211◦09.4 22◦00.4 356◦35.5 -11◦38.4 14◦48.6 -17◦27.26 345◦51.5 249◦33.5 24◦25.0 226◦10.2 22◦00.1 11◦37.8 -11◦38.4 29◦51.1 -17◦27.37 0◦53.9 264◦32.6 24◦24.9 241◦11.0 21◦59.8 26◦40.2 -11◦38.3 44◦53.6 -17◦27.38 15◦56.4 279◦31.7 24◦24.9 256◦11.9 21◦59.5 41◦42.6 -11◦38.3 59◦56.1 -17◦27.39 30◦58.8 294◦30.8 24◦24.8 271◦12.7 21◦59.2 56◦44.9 -11◦38.3 74◦58.7 -17◦27.310 46◦01.3 309◦30.0 24◦24.8 286◦13.6 21◦58.9 71◦47.3 -11◦38.3 90◦01.2 -17◦27.311 61◦03.8 324◦29.1 24◦24.7 301◦14.4 21◦58.6 86◦49.6 -11◦38.2 105◦03.7 -17◦27.412 76◦06.2 339◦28.2 24◦24.7 316◦15.3 21◦58.3 101◦52.0 -11◦38.2 120◦06.2 -17◦27.413 91◦08.7 354◦27.3 24◦24.6 331◦16.1 21◦57.9 116◦54.4 -11◦38.2 135◦08.8 -17◦27.414 106◦11.2 9◦26.4 24◦24.5 346◦16.9 21◦57.6 131◦56.7 -11◦38.2 150◦11.3 -17◦27.415 121◦13.6 24◦25.5 24◦24.5 1◦17.8 21◦57.3 146◦59.1 -11◦38.1 165◦13.8 -17◦27.516 136◦16.1 39◦24.6 24◦24.4 16◦18.6 21◦57.0 162◦01.4 -11◦38.1 180◦16.3 -17◦27.517 151◦18.6 54◦23.7 24◦24.3 31◦19.5 21◦56.7 177◦03.8 -11◦38.1 195◦18.9 -17◦27.518 166◦21.0 69◦22.9 24◦24.3 46◦20.3 21◦56.4 192◦06.2 -11◦38.0 210◦21.4 -17◦27.519 181◦23.5 84◦22.0 24◦24.2 61◦21.1 21◦56.1 207◦08.5 -11◦38.0 225◦23.9 -17◦27.620 196◦25.9 99◦21.1 24◦24.1 76◦22.0 21◦55.7 222◦10.9 -11◦38.0 240◦26.4 -17◦27.621 211◦28.4 114◦20.2 24◦24.1 91◦22.8 21◦55.4 237◦13.2 -11◦38.0 255◦29.0 -17◦27.622 226◦30.9 129◦19.3 24◦24.0 106◦23.7 21◦55.1 252◦15.6 -11◦37.9 270◦31.5 -17◦27.623 241◦33.3 144◦18.4 24◦23.9 121◦24.5 21◦54.8 267◦18.0 -11◦37.9 285◦34.0 -17◦27.6Mer.pass.:6:56: v-0.9 d-0.0 m-3.8 v0.8 d-0.3 m1.8 v2.4 d0.0 m-2.3 v2.5 d-0.0 m0.5

Tue GHA GHA Dec GHA Dec GHA Dec GHA Dec0 256◦35.8 159◦17.5 24◦23.9 136◦25.3 21◦54.5 282◦20.3 -11◦37.9 300◦36.5 -17◦27.71 271◦38.3 174◦16.7 24◦23.8 151◦26.2 21◦54.2 297◦22.7 -11◦37.9 315◦39.0 -17◦27.72 286◦40.7 189◦15.8 24◦23.7 166◦27.0 21◦53.8 312◦25.1 -11◦37.8 330◦41.6 -17◦27.73 301◦43.2 204◦14.9 24◦23.6 181◦27.9 21◦53.5 327◦27.4 -11◦37.8 345◦44.1 -17◦27.74 316◦45.7 219◦14.0 24◦23.5 196◦28.7 21◦53.2 342◦29.8 -11◦37.8 0◦46.6 -17◦27.85 331◦48.1 234◦13.1 24◦23.5 211◦29.6 21◦52.9 357◦32.2 -11◦37.8 15◦49.1 -17◦27.86 346◦50.6 249◦12.2 24◦23.4 226◦30.4 21◦52.6 12◦34.5 -11◦37.7 30◦51.7 -17◦27.87 1◦53.1 264◦11.3 24◦23.3 241◦31.2 21◦52.3 27◦36.9 -11◦37.7 45◦54.2 -17◦27.88 16◦55.5 279◦10.5 24◦23.2 256◦32.1 21◦51.9 42◦39.3 -11◦37.7 60◦56.7 -17◦27.99 31◦58.0 294◦09.6 24◦23.1 271◦32.9 21◦51.6 57◦41.6 -11◦37.7 75◦59.3 -17◦27.910 47◦00.4 309◦08.7 24◦23.0 286◦33.8 21◦51.3 72◦44.0 -11◦37.6 91◦01.8 -17◦27.911 62◦02.9 324◦07.8 24◦23.0 301◦34.6 21◦51.0 87◦46.4 -11◦37.6 106◦04.3 -17◦27.912 77◦05.4 339◦06.9 24◦22.9 316◦35.5 21◦50.7 102◦48.7 -11◦37.6 121◦06.8 -17◦27.913 92◦07.8 354◦06.0 24◦22.8 331◦36.3 21◦50.3 117◦51.1 -11◦37.6 136◦09.4 -17◦28.014 107◦10.3 9◦05.1 24◦22.7 346◦37.1 21◦50.0 132◦53.5 -11◦37.5 151◦11.9 -17◦28.015 122◦12.8 24◦04.3 24◦22.6 1◦38.0 21◦49.7 147◦55.8 -11◦37.5 166◦14.4 -17◦28.016 137◦15.2 39◦03.4 24◦22.5 16◦38.8 21◦49.4 162◦58.2 -11◦37.5 181◦16.9 -17◦28.017 152◦17.7 54◦02.5 24◦22.4 31◦39.7 21◦49.1 178◦00.6 -11◦37.5 196◦19.5 -17◦28.118 167◦20.2 69◦01.6 24◦22.3 46◦40.5 21◦48.7 193◦02.9 -11◦37.5 211◦22.0 -17◦28.119 182◦22.6 84◦00.7 24◦22.2 61◦41.4 21◦48.4 208◦05.3 -11◦37.4 226◦24.5 -17◦28.120 197◦25.1 98◦59.8 24◦22.1 76◦42.2 21◦48.1 223◦07.7 -11◦37.4 241◦27.1 -17◦28.121 212◦27.6 113◦59.0 24◦22.0 91◦43.0 21◦47.8 238◦10.1 -11◦37.4 256◦29.6 -17◦28.222 227◦30.0 128◦58.1 24◦21.9 106◦43.9 21◦47.5 253◦12.4 -11◦37.4 271◦32.1 -17◦28.223 242◦32.5 143◦57.2 24◦21.8 121◦44.7 21◦47.1 268◦14.8 -11◦37.3 286◦34.6 -17◦28.2Mer.pass.:6:52: v-0.9 d-0.1 m-3.8 v0.8 d-0.3 m1.8 v2.4 d0.0 m-2.3 v2.5 d-0.0 m0.5

StarsSHA Dec

Alpheratz 357◦37.9 29◦12.2Ankaa 353◦10.3 -42◦11.3

Schedar 349◦34.6 56◦38.9Diphda 348◦50.3 -17◦52.2

Achernar 335◦22.9 -57◦07.6Hamal 327◦54.8 23◦33.6Polaris 315◦48.4 89◦21.0Akamar 315◦14.4 -40◦13.1Menkar 314◦09.5 4◦10.3Mirfak 308◦32.9 49◦56.0

Aldebaran 290◦43.4 16◦33.0Rigel 281◦07.0 -8◦10.7

Capella 280◦26.7 46◦01.1Bellatrix 278◦26.4 6◦22.0Elnath 278◦06.0 28◦37.4Alnilam 275◦41.1 -1◦11.4

Betelgeuse 270◦55.6 7◦24.6Canopus 263◦54.2 -52◦42.5

Sirius 258◦29.1 -16◦44.6Adara 255◦08.5 -29◦00.2

Procyon 244◦54.1 5◦10.3Pollux 243◦21.1 27◦58.5Avior 234◦16.3 -59◦34.9Suhail 222◦48.7 -43◦31.3

Miaplacidus 221◦39.2 -69◦48.5Alphard 217◦50.8 -8◦45.1Regulus 207◦37.6 11◦51.9Dubhe 193◦44.7 61◦38.5

Denebola 182◦27.8 14◦27.3Gienah 175◦46.5 -17◦39.7Acrux 173◦03.0 -63◦13.3

Gacrux 171◦54.6 -57◦14.2Alioth 166◦15.4 55◦51.0Spica 158◦25.2 -11◦16.3Alcaid 152◦54.1 49◦12.7Hadar 148◦39.6 -60◦28.7

Menkent 148◦00.8 -36◦28.6Arcturus 145◦50.2 19◦04.7

Rigil Kent. 139◦43.7 -60◦55.5Zubenelg. 136◦59.0 -16◦07.8Kochab 137◦18.9 74◦04.3

Alphecca 126◦05.9 26◦38.7Antares 112◦19.1 -26◦28.7

Atria 107◦15.3 -69◦03.9Sabik 102◦05.8 -15◦45.0

Shaula 96◦13.9 -37◦07.1Rasalhague 96◦01.0 12◦32.7

Etamin 90◦43.0 51◦29.1Kaus Aust. 83◦36.0 -34◦22.4

Vega 80◦34.8 38◦48.1Nunki 75◦51.1 -26◦16.1Altair 62◦02.6 8◦55.4

Peacock 53◦10.0 -56◦39.8Deneb 49◦27.5 45◦21.1

Enif 33◦41.6 9◦58.2Alnair 27◦36.6 -46◦51.3

Fomalhaut 15◦17.8 -29◦30.5Scheat 13◦48.1 28◦11.6Markab 13◦32.8 15◦19.0

2021/6/6 SHA Mer.passVenus 265◦22.6 13:21Mars 241◦07.5 14:56

Jupiter 25◦49.7 05:17Saturn 43◦58.0 04:05

2021/6/7 SHA Mer.passVenus 264◦02.2 13:22Mars 240◦28.5 14:55

Jupiter 25◦47.0 05:14Saturn 43◦59.3 04:01

2021/6/8 SHA Mer.passVenus 262◦41.7 13:24Mars 239◦49.5 14:53

Jupiter 25◦44.5 05:10Saturn 44◦00.7 03:57

Horizontal paralaxVenus: 0.1Mars: 0.1

106

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2021 June 06 to Jun. 08

h Sun MoonSun GHA Dec GHA ν Dec d HP0 180◦20.5 22◦39.1 228◦06.4 16.3 7◦02.4 12.4 54.21 195◦20.4 22◦39.3 242◦41.6 16.3 7◦14.8 12.4 54.22 210◦20.3 22◦39.6 257◦16.9 16.2 7◦27.2 12.4 54.23 225◦20.2 22◦39.8 271◦52.1 16.2 7◦39.6 12.3 54.24 240◦20.0 22◦40.1 286◦27.3 16.2 7◦51.9 12.3 54.25 255◦19.9 22◦40.3 301◦02.5 16.2 8◦04.2 12.3 54.26 270◦19.8 22◦40.6 315◦37.7 16.2 8◦16.4 12.2 54.27 285◦19.7 22◦40.8 330◦12.8 16.1 8◦28.6 12.2 54.28 300◦19.6 22◦41.1 344◦47.9 16.1 8◦40.8 12.2 54.29 315◦19.5 22◦41.4 359◦23.0 16.1 8◦53.0 12.1 54.110 330◦19.3 22◦41.6 13◦58.1 16.1 9◦05.1 12.1 54.111 345◦19.2 22◦41.9 28◦33.2 16.0 9◦17.2 12.1 54.112 0◦19.1 22◦42.1 43◦08.2 16.0 9◦29.2 12.0 54.113 15◦19.0 22◦42.4 57◦43.2 16.0 9◦41.2 12.0 54.114 30◦18.9 22◦42.6 72◦18.2 16.0 9◦53.2 11.9 54.115 45◦18.8 22◦42.8 86◦53.1 15.9 10◦05.1 11.9 54.116 60◦18.7 22◦43.1 101◦28.0 15.9 10◦17.0 11.9 54.117 75◦18.5 22◦43.3 116◦02.9 15.9 10◦28.8 11.8 54.118 90◦18.4 22◦43.6 130◦37.8 15.8 10◦40.6 11.8 54.119 105◦18.3 22◦43.8 145◦12.6 15.8 10◦52.4 11.7 54.120 120◦18.2 22◦44.1 159◦47.4 15.8 11◦04.1 11.7 54.121 135◦18.1 22◦44.3 174◦22.2 15.7 11◦15.7 11.6 54.122 150◦18.0 22◦44.6 188◦56.9 15.7 11◦27.4 11.6 54.123 165◦17.8 22◦44.8 203◦31.6 15.7 11◦38.9 11.6 54.0

SD.=15.8 d=0.3 S.D.=14.8

Mon GHA Dec GHA ν Dec d HP0 180◦17.7 22◦45.0 218◦06.2 15.6 11◦50.5 11.5 54.01 195◦17.6 22◦45.3 232◦40.8 15.6 12◦02.0 11.5 54.02 210◦17.5 22◦45.5 247◦15.4 15.6 12◦13.4 11.4 54.03 225◦17.4 22◦45.8 261◦50.0 15.5 12◦24.8 11.4 54.04 240◦17.2 22◦46.0 276◦24.5 15.5 12◦36.1 11.3 54.05 255◦17.1 22◦46.2 290◦59.0 15.4 12◦47.4 11.3 54.06 270◦17.0 22◦46.5 305◦33.4 15.4 12◦58.7 11.2 54.07 285◦16.9 22◦46.7 320◦07.8 15.4 13◦09.9 11.2 54.08 300◦16.8 22◦47.0 334◦42.1 15.3 13◦21.0 11.1 54.09 315◦16.7 22◦47.2 349◦16.4 15.3 13◦32.1 11.1 54.010 330◦16.5 22◦47.4 3◦50.7 15.2 13◦43.1 11.0 54.011 345◦16.4 22◦47.7 18◦24.9 15.2 13◦54.1 11.0 54.012 0◦16.3 22◦47.9 32◦59.1 15.2 14◦05.1 10.9 54.013 15◦16.2 22◦48.1 47◦33.2 15.1 14◦15.9 10.8 54.014 30◦16.1 22◦48.4 62◦07.3 15.1 14◦26.7 10.8 54.015 45◦15.9 22◦48.6 76◦41.4 15.0 14◦37.5 10.7 54.016 60◦15.8 22◦48.8 91◦15.3 15.0 14◦48.2 10.7 54.017 75◦15.7 22◦49.0 105◦49.3 14.9 14◦58.8 10.6 54.018 90◦15.6 22◦49.3 120◦23.2 14.9 15◦09.4 10.6 54.019 105◦15.5 22◦49.5 134◦57.1 14.8 15◦20.0 10.5 54.020 120◦15.3 22◦49.7 149◦30.9 14.8 15◦30.4 10.4 54.021 135◦15.2 22◦50.0 164◦04.6 14.7 15◦40.8 10.4 54.022 150◦15.1 22◦50.2 178◦38.3 14.7 15◦51.2 10.3 54.023 165◦15.0 22◦50.4 193◦12.0 14.6 16◦01.4 10.2 54.0

SD.=15.8 d=0.2 S.D.=14.7

Tue GHA Dec GHA ν Dec d HP0 180◦14.9 22◦50.6 207◦45.6 14.6 16◦11.7 10.2 54.01 195◦14.7 22◦50.9 222◦19.1 14.5 16◦21.8 10.1 54.02 210◦14.6 22◦51.1 236◦52.6 14.5 16◦31.9 10.1 54.03 225◦14.5 22◦51.3 251◦26.1 14.4 16◦41.9 10.0 54.04 240◦14.4 22◦51.5 265◦59.5 14.4 16◦51.9 9.9 54.05 255◦14.3 22◦51.8 280◦32.8 14.3 17◦01.7 9.8 54.06 270◦14.1 22◦52.0 295◦06.1 14.3 17◦11.6 9.8 54.07 285◦14.0 22◦52.2 309◦39.4 14.2 17◦21.3 9.7 54.08 300◦13.9 22◦52.4 324◦12.5 14.2 17◦31.0 9.6 54.09 315◦13.8 22◦52.6 338◦45.7 14.1 17◦40.6 9.6 54.010 330◦13.7 22◦52.9 353◦18.7 14.0 17◦50.1 9.5 54.011 345◦13.5 22◦53.1 7◦51.8 14.0 17◦59.6 9.4 54.012 0◦13.4 22◦53.3 22◦24.7 13.9 18◦09.0 9.4 54.013 15◦13.3 22◦53.5 36◦57.6 13.9 18◦18.3 9.3 54.014 30◦13.2 22◦53.7 51◦30.5 13.8 18◦27.5 9.2 54.015 45◦13.0 22◦53.9 66◦03.3 13.8 18◦36.7 9.1 54.016 60◦12.9 22◦54.1 80◦36.0 13.7 18◦45.8 9.0 54.017 75◦12.8 22◦54.4 95◦08.7 13.6 18◦54.8 9.0 54.018 90◦12.7 22◦54.6 109◦41.3 13.6 19◦03.7 8.9 54.019 105◦12.6 22◦54.8 124◦13.9 13.5 19◦12.6 8.8 54.020 120◦12.4 22◦55.0 138◦46.4 13.5 19◦21.3 8.7 54.021 135◦12.3 22◦55.2 153◦18.8 13.4 19◦30.0 8.7 54.022 150◦12.2 22◦55.4 167◦51.2 13.4 19◦38.6 8.6 54.023 165◦12.1 22◦55.6 182◦23.5 13.3 19◦47.2 8.5 54.0

SD.=15.8 d=0.2 S.D.=14.7

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 –:– –:– –:– –:– –:– –:–70 –:– –:– –:– –:– –:– –:–68 –:– –:– –:– –:– –:– –:–66 –:– –:– 00:44 23:19 –:– –:–64 –:– –:– 01:44 22:15 –:– –:–62 –:– –:– 02:18 21:41 –:– –:–60 –:– 01:09 02:42 21:17 22:51 –:–58 –:– 01:50 03:01 20:58 22:09 –:–56 –:– 02:17 03:17 20:42 21:42 –:–54 01:03 02:37 03:30 20:28 21:21 22:5752 01:41 02:54 03:42 20:16 21:04 22:1850 02:06 03:09 03:52 20:06 20:50 21:5345 02:48 03:37 04:14 19:44 20:21 21:1040 03:18 03:59 04:31 19:27 19:59 20:4035 03:40 04:16 04:46 19:12 19:42 20:1830 03:58 04:31 04:58 18:60 19:27 19:6020 04:26 04:55 05:20 18:38 19:03 19:3210 04:48 05:15 05:38 18:20 18:43 19:100 05:07 05:33 05:55 18:03 18:25 18:51-10 05:23 05:49 06:12 17:46 18:08 18:35-20 05:39 06:06 06:30 17:28 17:52 18:19-30 05:55 06:24 06:51 17:07 17:33 18:03-35 06:03 06:35 07:03 16:55 17:23 17:55-40 06:12 06:46 07:16 16:41 17:12 17:46-45 06:22 06:59 07:33 16:25 16:59 17:36-50 06:33 07:15 07:53 16:05 16:43 17:24-52 06:38 07:22 08:02 15:55 16:36 17:19-54 06:44 07:30 08:13 15:45 16:28 17:14-56 06:50 07:38 08:25 15:33 16:19 17:08-58 06:56 07:48 08:39 15:19 16:10 17:02-60 07:03 07:59 08:55 15:02 15:58 16:54

Moonrise MoonsetLat. Sun Mon Tue Sun Mon Tue72 01:18 00:47 –:– 17:36 19:54 –:–70 01:28 01:07 00:38 17:18 19:15 21:5868 01:37 01:23 01:06 17:04 18:49 20:4966 01:44 01:36 01:27 16:53 18:29 20:1364 01:50 01:46 01:44 16:43 18:13 19:4762 01:55 01:56 01:58 16:35 18:00 19:2760 01:59 02:04 02:10 16:28 17:49 19:1158 02:03 02:11 02:20 16:22 17:39 18:5856 02:07 02:17 02:29 16:17 17:31 18:4654 02:10 02:22 02:37 16:12 17:24 18:3652 02:13 02:27 02:44 16:08 17:17 18:2750 02:16 02:32 02:51 16:04 17:11 18:1945 02:22 02:42 03:05 15:55 16:58 18:0240 02:27 02:50 03:17 15:48 16:48 17:4835 02:31 02:58 03:27 15:42 16:39 17:3630 02:35 03:04 03:36 15:37 16:31 17:2620 02:41 03:15 03:51 15:28 16:17 17:0810 02:47 03:25 04:04 15:20 16:05 16:530 02:53 03:34 04:17 15:12 15:54 16:38-10 02:58 03:43 04:30 15:05 15:43 16:24-20 03:04 03:53 04:43 14:57 15:32 16:09-30 03:11 04:05 04:59 14:48 15:19 15:52-35 03:15 04:11 05:08 14:43 15:11 15:42-40 03:20 04:19 05:19 14:37 15:02 15:30-45 03:25 04:28 05:31 14:31 14:52 15:17-50 03:31 04:38 05:46 14:23 14:40 15:01-52 03:34 04:43 05:53 14:19 14:34 14:53-54 03:38 04:49 06:01 14:15 14:28 14:44-56 03:41 04:55 06:10 14:10 14:21 14:35-58 03:45 05:02 06:20 14:05 14:13 14:24-60 03:50 05:10 06:32 13:60 14:05 14:12

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower6 01:22 01:16 11:58 09:02 21:23 26(14%)7 01:11 01:05 11:58 09:44 22:05 27(8%)8 00:59 00:54 11:59 10:27 22:50 28(3%)

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June 09, 10 ,11 (Wed., Thu., Fri.)Aries Venus Mars Jupiter Saturn

Wed GHA GHA Dec GHA Dec GHA Dec GHA Dec0 257◦34.9 158◦56.3 24◦21.7 136◦45.6 21◦46.8 283◦17.2 -11◦37.3 301◦37.2 -17◦28.21 272◦37.4 173◦55.4 24◦21.6 151◦46.4 21◦46.5 298◦19.5 -11◦37.3 316◦39.7 -17◦28.32 287◦39.9 188◦54.5 24◦21.5 166◦47.3 21◦46.2 313◦21.9 -11◦37.3 331◦42.2 -17◦28.33 302◦42.3 203◦53.7 24◦21.4 181◦48.1 21◦45.8 328◦24.3 -11◦37.2 346◦44.7 -17◦28.34 317◦44.8 218◦52.8 24◦21.3 196◦49.0 21◦45.5 343◦26.7 -11◦37.2 1◦47.3 -17◦28.35 332◦47.3 233◦51.9 24◦21.2 211◦49.8 21◦45.2 358◦29.0 -11◦37.2 16◦49.8 -17◦28.46 347◦49.7 248◦51.0 24◦21.1 226◦50.6 21◦44.9 13◦31.4 -11◦37.2 31◦52.3 -17◦28.47 2◦52.2 263◦50.1 24◦20.9 241◦51.5 21◦44.5 28◦33.8 -11◦37.2 46◦54.9 -17◦28.48 17◦54.7 278◦49.3 24◦20.8 256◦52.3 21◦44.2 43◦36.2 -11◦37.1 61◦57.4 -17◦28.49 32◦57.1 293◦48.4 24◦20.7 271◦53.2 21◦43.9 58◦38.5 -11◦37.1 76◦59.9 -17◦28.510 47◦59.6 308◦47.5 24◦20.6 286◦54.0 21◦43.6 73◦40.9 -11◦37.1 92◦02.5 -17◦28.511 63◦02.1 323◦46.6 24◦20.5 301◦54.9 21◦43.2 88◦43.3 -11◦37.1 107◦05.0 -17◦28.512 78◦04.5 338◦45.7 24◦20.4 316◦55.7 21◦42.9 103◦45.7 -11◦37.1 122◦07.5 -17◦28.513 93◦07.0 353◦44.8 24◦20.2 331◦56.6 21◦42.6 118◦48.0 -11◦37.0 137◦10.0 -17◦28.614 108◦09.4 8◦44.0 24◦20.1 346◦57.4 21◦42.3 133◦50.4 -11◦37.0 152◦12.6 -17◦28.615 123◦11.9 23◦43.1 24◦20.0 1◦58.3 21◦41.9 148◦52.8 -11◦37.0 167◦15.1 -17◦28.616 138◦14.4 38◦42.2 24◦19.9 16◦59.1 21◦41.6 163◦55.2 -11◦37.0 182◦17.6 -17◦28.617 153◦16.8 53◦41.3 24◦19.7 31◦59.9 21◦41.3 178◦57.5 -11◦36.9 197◦20.2 -17◦28.718 168◦19.3 68◦40.4 24◦19.6 47◦00.8 21◦41.0 193◦59.9 -11◦36.9 212◦22.7 -17◦28.719 183◦21.8 83◦39.6 24◦19.5 62◦01.6 21◦40.6 209◦02.3 -11◦36.9 227◦25.2 -17◦28.720 198◦24.2 98◦38.7 24◦19.4 77◦02.5 21◦40.3 224◦04.7 -11◦36.9 242◦27.8 -17◦28.721 213◦26.7 113◦37.8 24◦19.2 92◦03.3 21◦40.0 239◦07.0 -11◦36.9 257◦30.3 -17◦28.822 228◦29.2 128◦36.9 24◦19.1 107◦04.2 21◦39.6 254◦09.4 -11◦36.8 272◦32.8 -17◦28.823 243◦31.6 143◦36.0 24◦19.0 122◦05.0 21◦39.3 269◦11.8 -11◦36.8 287◦35.4 -17◦28.8Mer.pass.:6:48: v-0.9 d-0.1 m-3.8 v0.8 d-0.3 m1.8 v2.4 d0.0 m-2.3 v2.5 d-0.0 m0.5

Thu GHA GHA Dec GHA Dec GHA Dec GHA Dec0 258◦34.1 158◦35.2 24◦18.8 137◦05.9 21◦39.0 284◦14.2 -11◦36.8 302◦37.9 -17◦28.81 273◦36.6 173◦34.3 24◦18.7 152◦06.7 21◦38.7 299◦16.6 -11◦36.8 317◦40.4 -17◦28.92 288◦39.0 188◦33.4 24◦18.6 167◦07.6 21◦38.3 314◦18.9 -11◦36.8 332◦43.0 -17◦28.93 303◦41.5 203◦32.5 24◦18.4 182◦08.4 21◦38.0 329◦21.3 -11◦36.7 347◦45.5 -17◦28.94 318◦43.9 218◦31.6 24◦18.3 197◦09.3 21◦37.7 344◦23.7 -11◦36.7 2◦48.0 -17◦28.95 333◦46.4 233◦30.8 24◦18.2 212◦10.1 21◦37.3 359◦26.1 -11◦36.7 17◦50.6 -17◦29.06 348◦48.9 248◦29.9 24◦18.0 227◦11.0 21◦37.0 14◦28.5 -11◦36.7 32◦53.1 -17◦29.07 3◦51.3 263◦29.0 24◦17.9 242◦11.8 21◦36.7 29◦30.8 -11◦36.7 47◦55.6 -17◦29.08 18◦53.8 278◦28.1 24◦17.7 257◦12.6 21◦36.4 44◦33.2 -11◦36.7 62◦58.2 -17◦29.09 33◦56.3 293◦27.3 24◦17.6 272◦13.5 21◦36.0 59◦35.6 -11◦36.6 78◦00.7 -17◦29.110 48◦58.7 308◦26.4 24◦17.4 287◦14.3 21◦35.7 74◦38.0 -11◦36.6 93◦03.2 -17◦29.111 64◦01.2 323◦25.5 24◦17.3 302◦15.2 21◦35.4 89◦40.4 -11◦36.6 108◦05.8 -17◦29.112 79◦03.7 338◦24.6 24◦17.1 317◦16.0 21◦35.0 104◦42.8 -11◦36.6 123◦08.3 -17◦29.113 94◦06.1 353◦23.7 24◦17.0 332◦16.9 21◦34.7 119◦45.1 -11◦36.6 138◦10.8 -17◦29.214 109◦08.6 8◦22.9 24◦16.8 347◦17.7 21◦34.4 134◦47.5 -11◦36.5 153◦13.4 -17◦29.215 124◦11.0 23◦22.0 24◦16.7 2◦18.6 21◦34.0 149◦49.9 -11◦36.5 168◦15.9 -17◦29.216 139◦13.5 38◦21.1 24◦16.5 17◦19.4 21◦33.7 164◦52.3 -11◦36.5 183◦18.4 -17◦29.317 154◦16.0 53◦20.2 24◦16.4 32◦20.3 21◦33.4 179◦54.7 -11◦36.5 198◦21.0 -17◦29.318 169◦18.4 68◦19.4 24◦16.2 47◦21.1 21◦33.0 194◦57.1 -11◦36.5 213◦23.5 -17◦29.319 184◦20.9 83◦18.5 24◦16.1 62◦22.0 21◦32.7 209◦59.4 -11◦36.5 228◦26.0 -17◦29.320 199◦23.4 98◦17.6 24◦15.9 77◦22.8 21◦32.4 225◦01.8 -11◦36.4 243◦28.6 -17◦29.421 214◦25.8 113◦16.7 24◦15.7 92◦23.7 21◦32.0 240◦04.2 -11◦36.4 258◦31.1 -17◦29.422 229◦28.3 128◦15.9 24◦15.6 107◦24.5 21◦31.7 255◦06.6 -11◦36.4 273◦33.6 -17◦29.423 244◦30.8 143◦15.0 24◦15.4 122◦25.4 21◦31.4 270◦09.0 -11◦36.4 288◦36.2 -17◦29.4Mer.pass.:6:44: v-0.9 d-0.1 m-3.8 v0.8 d-0.3 m1.8 v2.4 d0.0 m-2.4 v2.5 d-0.0 m0.5

Fri GHA GHA Dec GHA Dec GHA Dec GHA Dec0 259◦33.2 158◦14.1 24◦15.3 137◦26.2 21◦31.0 285◦11.4 -11◦36.4 303◦38.7 -17◦29.51 274◦35.7 173◦13.2 24◦15.1 152◦27.1 21◦30.7 300◦13.8 -11◦36.3 318◦41.3 -17◦29.52 289◦38.2 188◦12.4 24◦14.9 167◦27.9 21◦30.4 315◦16.1 -11◦36.3 333◦43.8 -17◦29.53 304◦40.6 203◦11.5 24◦14.8 182◦28.8 21◦30.0 330◦18.5 -11◦36.3 348◦46.3 -17◦29.54 319◦43.1 218◦10.6 24◦14.6 197◦29.6 21◦29.7 345◦20.9 -11◦36.3 3◦48.9 -17◦29.65 334◦45.5 233◦09.7 24◦14.4 212◦30.5 21◦29.3 0◦23.3 -11◦36.3 18◦51.4 -17◦29.66 349◦48.0 248◦08.9 24◦14.3 227◦31.3 21◦29.0 15◦25.7 -11◦36.3 33◦53.9 -17◦29.67 4◦50.5 263◦08.0 24◦14.1 242◦32.2 21◦28.7 30◦28.1 -11◦36.2 48◦56.5 -17◦29.68 19◦52.9 278◦07.1 24◦13.9 257◦33.0 21◦28.3 45◦30.5 -11◦36.2 63◦59.0 -17◦29.79 34◦55.4 293◦06.2 24◦13.7 272◦33.9 21◦28.0 60◦32.9 -11◦36.2 79◦01.5 -17◦29.710 49◦57.9 308◦05.4 24◦13.6 287◦34.7 21◦27.7 75◦35.3 -11◦36.2 94◦04.1 -17◦29.711 65◦00.3 323◦04.5 24◦13.4 302◦35.6 21◦27.3 90◦37.6 -11◦36.2 109◦06.6 -17◦29.812 80◦02.8 338◦03.6 24◦13.2 317◦36.4 21◦27.0 105◦40.0 -11◦36.2 124◦09.2 -17◦29.813 95◦05.3 353◦02.7 24◦13.0 332◦37.3 21◦26.7 120◦42.4 -11◦36.2 139◦11.7 -17◦29.814 110◦07.7 8◦01.9 24◦12.8 347◦38.1 21◦26.3 135◦44.8 -11◦36.1 154◦14.2 -17◦29.815 125◦10.2 23◦01.0 24◦12.7 2◦39.0 21◦26.0 150◦47.2 -11◦36.1 169◦16.8 -17◦29.916 140◦12.7 38◦00.1 24◦12.5 17◦39.8 21◦25.6 165◦49.6 -11◦36.1 184◦19.3 -17◦29.917 155◦15.1 52◦59.2 24◦12.3 32◦40.7 21◦25.3 180◦52.0 -11◦36.1 199◦21.9 -17◦29.918 170◦17.6 67◦58.4 24◦12.1 47◦41.5 21◦25.0 195◦54.4 -11◦36.1 214◦24.4 -17◦29.919 185◦20.0 82◦57.5 24◦11.9 62◦42.4 21◦24.6 210◦56.8 -11◦36.1 229◦26.9 -17◦30.020 200◦22.5 97◦56.6 24◦11.7 77◦43.2 21◦24.3 225◦59.2 -11◦36.0 244◦29.5 -17◦30.021 215◦25.0 112◦55.8 24◦11.5 92◦44.1 21◦23.9 241◦01.6 -11◦36.0 259◦32.0 -17◦30.022 230◦27.4 127◦54.9 24◦11.4 107◦44.9 21◦23.6 256◦04.0 -11◦36.0 274◦34.5 -17◦30.123 245◦29.9 142◦54.0 24◦11.2 122◦45.8 21◦23.3 271◦06.3 -11◦36.0 289◦37.1 -17◦30.1Mer.pass.:6:40: v-0.9 d-0.2 m-3.8 v0.8 d-0.3 m1.8 v2.4 d0.0 m-2.4 v2.5 d-0.0 m0.5

StarsSHA Dec

Alpheratz 357◦37.9 29◦12.3Ankaa 353◦10.2 -42◦11.3

Schedar 349◦34.5 56◦38.9Diphda 348◦50.3 -17◦52.2

Achernar 335◦22.9 -57◦07.6Hamal 327◦54.8 23◦33.6Polaris 315◦47.3 89◦21.0Akamar 315◦14.4 -40◦13.1Menkar 314◦09.5 4◦10.3Mirfak 308◦32.9 49◦56.0

Aldebaran 290◦43.3 16◦33.0Rigel 281◦07.0 -8◦10.7

Capella 280◦26.7 46◦01.1Bellatrix 278◦26.4 6◦22.0Elnath 278◦06.0 28◦37.4Alnilam 275◦41.1 -1◦11.4

Betelgeuse 270◦55.6 7◦24.6Canopus 263◦54.2 -52◦42.5

Sirius 258◦29.1 -16◦44.6Adara 255◦08.5 -29◦00.2

Procyon 244◦54.1 5◦10.3Pollux 243◦21.1 27◦58.5Avior 234◦16.3 -59◦34.9Suhail 222◦48.7 -43◦31.3

Miaplacidus 221◦39.3 -69◦48.5Alphard 217◦50.8 -8◦45.1Regulus 207◦37.6 11◦51.9Dubhe 193◦44.7 61◦38.5

Denebola 182◦27.8 14◦27.3Gienah 175◦46.5 -17◦39.7Acrux 173◦03.0 -63◦13.3

Gacrux 171◦54.6 -57◦14.2Alioth 166◦15.4 55◦51.0Spica 158◦25.2 -11◦16.3Alcaid 152◦54.1 49◦12.7Hadar 148◦39.6 -60◦28.7

Menkent 148◦00.8 -36◦28.6Arcturus 145◦50.2 19◦04.7

Rigil Kent. 139◦43.7 -60◦55.5Zubenelg. 136◦59.0 -16◦07.8Kochab 137◦18.9 74◦04.3

Alphecca 126◦05.9 26◦38.7Antares 112◦19.0 -26◦28.7

Atria 107◦15.3 -69◦03.9Sabik 102◦05.8 -15◦45.0

Shaula 96◦13.9 -37◦07.1Rasalhague 96◦00.9 12◦32.7

Etamin 90◦43.0 51◦29.1Kaus Aust. 83◦36.0 -34◦22.4

Vega 80◦34.8 38◦48.1Nunki 75◦51.1 -26◦16.1Altair 62◦02.6 8◦55.4

Peacock 53◦10.0 -56◦39.8Deneb 49◦27.4 45◦21.2

Enif 33◦41.5 9◦58.3Alnair 27◦36.5 -46◦51.2

Fomalhaut 15◦17.8 -29◦30.4Scheat 13◦48.0 28◦11.6Markab 13◦32.8 15◦19.0

2021/6/9 SHA Mer.passVenus 261◦21.4 13:25Mars 239◦10.6 14:52

Jupiter 25◦42.2 05:06Saturn 44◦02.2 03:53

2021/6/1 SHA Mer.passVenus 260◦01.1 13:26Mars 238◦31.8 14:51

Jupiter 25◦40.1 05:02Saturn 44◦03.8 03:49

2021/6/1 SHA Mer.passVenus 258◦40.9 13:28Mars 237◦53.0 14:49

Jupiter 25◦38.1 04:58Saturn 44◦05.5 03:45

Horizontal paralaxVenus: 0.1Mars: 0.1

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2021 June 09 to Jun. 11

h Sun MoonWed GHA Dec GHA ν Dec d HP0 180◦11.9 22◦55.8 196◦55.8 13.2 19◦55.6 8.4 54.01 195◦11.8 22◦56.0 211◦28.0 13.2 20◦04.0 8.3 54.02 210◦11.7 22◦56.2 226◦00.1 13.1 20◦12.3 8.2 54.03 225◦11.6 22◦56.4 240◦32.2 13.1 20◦20.5 8.2 54.04 240◦11.4 22◦56.7 255◦04.3 13.0 20◦28.6 8.1 54.05 255◦11.3 22◦56.9 269◦36.2 12.9 20◦36.6 8.0 54.06 270◦11.2 22◦57.1 284◦08.1 12.9 20◦44.5 7.9 54.07 285◦11.1 22◦57.3 298◦40.0 12.8 20◦52.4 7.8 54.08 300◦11.0 22◦57.5 313◦11.8 12.8 21◦00.1 7.7 54.19 315◦10.8 22◦57.7 327◦43.5 12.7 21◦07.8 7.6 54.110 330◦10.7 22◦57.9 342◦15.2 12.6 21◦15.3 7.5 54.111 345◦10.6 22◦58.1 356◦46.8 12.6 21◦22.8 7.4 54.112 0◦10.5 22◦58.3 11◦18.4 12.5 21◦30.2 7.3 54.113 15◦10.3 22◦58.5 25◦49.8 12.5 21◦37.5 7.2 54.114 30◦10.2 22◦58.7 40◦21.3 12.4 21◦44.7 7.2 54.115 45◦10.1 22◦58.9 54◦52.7 12.3 21◦51.8 7.1 54.116 60◦10.0 22◦59.1 69◦24.0 12.3 21◦58.8 7.0 54.117 75◦09.8 22◦59.3 83◦55.2 12.2 22◦05.8 6.9 54.118 90◦09.7 22◦59.5 98◦26.4 12.2 22◦12.6 6.8 54.119 105◦09.6 22◦59.7 112◦57.6 12.1 22◦19.3 6.7 54.120 120◦09.5 22◦59.8 127◦28.7 12.1 22◦25.9 6.6 54.121 135◦09.3 23◦00.0 141◦59.7 12.0 22◦32.4 6.5 54.122 150◦09.2 23◦00.2 156◦30.6 11.9 22◦38.9 6.4 54.123 165◦09.1 23◦00.4 171◦01.5 11.9 22◦45.2 6.3 54.1

SD.=15.8 d=0.2 S.D.=14.7

Thu GHA Dec GHA ν Dec d HP0 180◦09.0 23◦00.6 185◦32.4 11.8 22◦51.4 6.2 54.21 195◦08.8 23◦00.8 200◦03.2 11.8 22◦57.5 6.1 54.22 210◦08.7 23◦01.0 214◦33.9 11.7 23◦03.5 6.0 54.23 225◦08.6 23◦01.2 229◦04.6 11.7 23◦09.4 5.9 54.24 240◦08.5 23◦01.4 243◦35.2 11.6 23◦15.2 5.8 54.25 255◦08.3 23◦01.6 258◦05.8 11.5 23◦20.9 5.6 54.26 270◦08.2 23◦01.7 272◦36.3 11.5 23◦26.5 5.5 54.27 285◦08.1 23◦01.9 287◦06.8 11.4 23◦32.0 5.4 54.28 300◦08.0 23◦02.1 301◦37.2 11.4 23◦37.4 5.3 54.29 315◦07.8 23◦02.3 316◦07.5 11.3 23◦42.7 5.2 54.210 330◦07.7 23◦02.5 330◦37.8 11.3 23◦47.8 5.1 54.211 345◦07.6 23◦02.7 345◦08.1 11.2 23◦52.9 5.0 54.212 0◦07.4 23◦02.9 359◦38.3 11.2 23◦57.8 4.9 54.313 15◦07.3 23◦03.0 14◦08.4 11.1 24◦02.6 4.8 54.314 30◦07.2 23◦03.2 28◦38.5 11.1 24◦07.4 4.7 54.315 45◦07.1 23◦03.4 43◦08.5 11.0 24◦12.0 4.5 54.316 60◦06.9 23◦03.6 57◦38.5 11.0 24◦16.5 4.4 54.317 75◦06.8 23◦03.8 72◦08.5 10.9 24◦20.8 4.3 54.318 90◦06.7 23◦03.9 86◦38.4 10.9 24◦25.1 4.2 54.319 105◦06.6 23◦04.1 101◦08.2 10.8 24◦29.3 4.1 54.320 120◦06.4 23◦04.3 115◦38.0 10.8 24◦33.3 4.0 54.321 135◦06.3 23◦04.5 130◦07.8 10.7 24◦37.2 3.9 54.322 150◦06.2 23◦04.6 144◦37.5 10.7 24◦41.0 3.7 54.323 165◦06.0 23◦04.8 159◦07.1 10.6 24◦44.7 3.6 54.4

SD.=15.8 d=0.2 S.D.=14.8

Fri GHA Dec GHA ν Dec d HP0 180◦05.9 23◦05.0 173◦36.7 10.6 24◦48.3 3.5 54.41 195◦05.8 23◦05.2 188◦06.3 10.6 24◦51.7 3.4 54.42 210◦05.7 23◦05.3 202◦35.9 10.5 24◦55.0 3.3 54.43 225◦05.5 23◦05.5 217◦05.3 10.5 24◦58.2 3.1 54.44 240◦05.4 23◦05.7 231◦34.8 10.4 25◦01.3 3.0 54.45 255◦05.3 23◦05.9 246◦04.2 10.4 25◦04.3 2.9 54.46 270◦05.2 23◦06.0 260◦33.6 10.3 25◦07.1 2.8 54.47 285◦05.0 23◦06.2 275◦02.9 10.3 25◦09.9 2.7 54.48 300◦04.9 23◦06.4 289◦32.2 10.3 25◦12.5 2.5 54.59 315◦04.8 23◦06.5 304◦01.4 10.2 25◦15.0 2.4 54.510 330◦04.6 23◦06.7 318◦30.7 10.2 25◦17.3 2.3 54.511 345◦04.5 23◦06.9 332◦59.8 10.2 25◦19.5 2.2 54.512 0◦04.4 23◦07.0 347◦29.0 10.1 25◦21.7 2.0 54.513 15◦04.2 23◦07.2 1◦58.1 10.1 25◦23.6 1.9 54.514 30◦04.1 23◦07.4 16◦27.2 10.1 25◦25.5 1.8 54.515 45◦04.0 23◦07.5 30◦56.3 10.0 25◦27.2 1.7 54.516 60◦03.9 23◦07.7 45◦25.3 10.0 25◦28.9 1.5 54.617 75◦03.7 23◦07.9 59◦54.3 10.0 25◦30.3 1.4 54.618 90◦03.6 23◦08.0 74◦23.3 10.0 25◦31.7 1.3 54.619 105◦03.5 23◦08.2 88◦52.2 9.9 25◦32.9 1.2 54.620 120◦03.3 23◦08.3 103◦21.1 9.9 25◦34.0 1.0 54.621 135◦03.2 23◦08.5 117◦50.0 9.9 25◦35.0 0.9 54.622 150◦03.1 23◦08.7 132◦18.9 9.9 25◦35.9 0.8 54.623 165◦03.0 23◦08.8 146◦47.7 9.8 25◦36.6 0.7 54.7

SD.=15.8 d=0.2 S.D.=14.8

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 –:– –:– –:– –:– –:– –:–70 –:– –:– –:– –:– –:– –:–68 –:– –:– –:– –:– –:– –:–66 –:– –:– 00:28 23:38 –:– –:–64 –:– –:– 01:39 22:21 –:– –:–62 –:– –:– 02:14 21:46 –:– –:–60 –:– 01:02 02:39 21:21 22:59 –:–58 –:– 01:46 02:59 21:01 22:14 –:–56 –:– 02:14 03:15 20:45 21:46 –:–54 00:57 02:35 03:29 20:31 21:24 23:0452 01:37 02:52 03:41 20:19 21:07 22:2350 02:03 03:07 03:51 20:08 20:52 21:5745 02:47 03:36 04:13 19:46 20:23 21:1240 03:17 03:58 04:31 19:28 20:01 20:4235 03:40 04:16 04:46 19:14 19:43 20:2030 03:58 04:31 04:58 19:01 19:28 20:0120 04:26 04:55 05:20 18:39 19:04 19:3310 04:49 05:16 05:39 18:20 18:43 19:100 05:07 05:33 05:56 18:03 18:26 18:52-10 05:24 05:50 06:13 17:46 18:09 18:35-20 05:40 06:07 06:31 17:28 17:52 18:19-30 05:56 06:26 06:52 17:07 17:33 18:03-35 06:04 06:36 07:04 16:55 17:23 17:54-40 06:14 06:48 07:18 16:41 17:11 17:45-45 06:24 07:01 07:35 16:24 16:58 17:35-50 06:35 07:17 07:55 16:04 16:42 17:24-52 06:40 07:24 08:04 15:54 16:35 17:19-54 06:46 07:32 08:15 15:44 16:27 17:13-56 06:52 07:41 08:28 15:31 16:18 17:07-58 06:58 07:51 08:42 15:17 16:08 17:00-60 07:06 08:02 08:59 14:60 15:57 16:53

Moonrise MoonsetLat. Wed Thu Fri Wed Thu Fri72 –:– –:– –:– –:– –:– –:–70 –:– –:– –:– –:– –:– –:–68 00:38 –:– –:– –:– –:– –:–66 01:15 00:55 –:– 22:11 –:– –:–64 01:41 01:40 01:43 21:25 23:05 –:–62 02:02 02:10 02:28 20:56 22:20 23:2960 02:19 02:33 02:58 20:33 21:51 22:5658 02:33 02:52 03:21 20:15 21:28 22:3156 02:45 03:07 03:39 20:00 21:10 22:1154 02:56 03:21 03:55 19:47 20:55 21:5552 03:05 03:32 04:08 19:36 20:42 21:4050 03:14 03:43 04:20 19:26 20:30 21:2845 03:32 04:05 04:44 19:05 20:06 21:0340 03:47 04:22 05:04 18:48 19:47 20:4235 03:60 04:37 05:20 18:33 19:30 20:2530 04:11 04:50 05:35 18:21 19:17 20:1120 04:30 05:12 05:59 18:00 18:53 19:4610 04:46 05:32 06:20 17:42 18:33 19:240 05:02 05:50 06:40 17:25 18:13 19:04-10 05:18 06:08 06:59 17:08 17:54 18:44-20 05:35 06:27 07:20 16:50 17:34 18:23-30 05:54 06:50 07:45 16:29 17:11 17:58-35 06:06 07:03 07:59 16:17 16:57 17:43-40 06:19 07:19 08:16 16:03 16:41 17:26-45 06:34 07:37 08:36 15:46 16:22 17:06-50 06:54 07:60 09:02 15:26 15:59 16:40-52 07:03 08:11 09:14 15:16 15:47 16:28-54 07:13 08:23 09:28 15:06 15:35 16:14-56 07:25 08:38 09:44 14:54 15:20 15:57-58 07:39 08:55 10:04 14:39 15:02 15:38-60 07:55 09:16 10:28 14:23 14:41 15:13

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower9 00:48 00:42 11:59 11:13 23:37 29(1%)10 00:36 00:30 11:59 12:01 00:26 0(0%)11 00:24 00:18 11:59 12:51 00:26 1(1%)

109

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June 12, 13 ,14 (Sat., Sun., Mon.)Aries Venus Mars Jupiter Saturn

Sat GHA GHA Dec GHA Dec GHA Dec GHA Dec0 260◦32.4 157◦53.1 24◦11.0 137◦46.6 21◦22.9 286◦08.7 -11◦36.0 304◦39.6 -17◦30.11 275◦34.8 172◦52.3 24◦10.8 152◦47.5 21◦22.6 301◦11.1 -11◦36.0 319◦42.2 -17◦30.12 290◦37.3 187◦51.4 24◦10.6 167◦48.3 21◦22.2 316◦13.5 -11◦36.0 334◦44.7 -17◦30.23 305◦39.8 202◦50.5 24◦10.4 182◦49.2 21◦21.9 331◦15.9 -11◦35.9 349◦47.2 -17◦30.24 320◦42.2 217◦49.7 24◦10.2 197◦50.0 21◦21.6 346◦18.3 -11◦35.9 4◦49.8 -17◦30.25 335◦44.7 232◦48.8 24◦10.0 212◦50.9 21◦21.2 1◦20.7 -11◦35.9 19◦52.3 -17◦30.36 350◦47.2 247◦47.9 24◦09.8 227◦51.7 21◦20.9 16◦23.1 -11◦35.9 34◦54.9 -17◦30.37 5◦49.6 262◦47.1 24◦09.6 242◦52.6 21◦20.5 31◦25.5 -11◦35.9 49◦57.4 -17◦30.38 20◦52.1 277◦46.2 24◦09.4 257◦53.4 21◦20.2 46◦27.9 -11◦35.9 64◦60.0 -17◦30.39 35◦54.5 292◦45.3 24◦09.2 272◦54.3 21◦19.8 61◦30.3 -11◦35.9 80◦02.5 -17◦30.410 50◦57.0 307◦44.5 24◦09.0 287◦55.1 21◦19.5 76◦32.7 -11◦35.9 95◦05.0 -17◦30.411 65◦59.5 322◦43.6 24◦08.8 302◦56.0 21◦19.2 91◦35.1 -11◦35.8 110◦07.6 -17◦30.412 81◦01.9 337◦42.7 24◦08.6 317◦56.8 21◦18.8 106◦37.5 -11◦35.8 125◦10.1 -17◦30.413 96◦04.4 352◦41.8 24◦08.3 332◦57.7 21◦18.5 121◦39.9 -11◦35.8 140◦12.7 -17◦30.514 111◦06.9 7◦41.0 24◦08.1 347◦58.5 21◦18.1 136◦42.3 -11◦35.8 155◦15.2 -17◦30.515 126◦09.3 22◦40.1 24◦07.9 2◦59.4 21◦17.8 151◦44.7 -11◦35.8 170◦17.7 -17◦30.516 141◦11.8 37◦39.2 24◦07.7 18◦00.3 21◦17.4 166◦47.1 -11◦35.8 185◦20.3 -17◦30.617 156◦14.3 52◦38.4 24◦07.5 33◦01.1 21◦17.1 181◦49.5 -11◦35.8 200◦22.8 -17◦30.618 171◦16.7 67◦37.5 24◦07.3 48◦02.0 21◦16.7 196◦51.9 -11◦35.8 215◦25.4 -17◦30.619 186◦19.2 82◦36.6 24◦07.1 63◦02.8 21◦16.4 211◦54.3 -11◦35.7 230◦27.9 -17◦30.620 201◦21.7 97◦35.8 24◦06.8 78◦03.7 21◦16.1 226◦56.7 -11◦35.7 245◦30.5 -17◦30.721 216◦24.1 112◦34.9 24◦06.6 93◦04.5 21◦15.7 241◦59.1 -11◦35.7 260◦33.0 -17◦30.722 231◦26.6 127◦34.0 24◦06.4 108◦05.4 21◦15.4 257◦01.5 -11◦35.7 275◦35.5 -17◦30.723 246◦29.0 142◦33.2 24◦06.2 123◦06.2 21◦15.0 272◦03.9 -11◦35.7 290◦38.1 -17◦30.8Mer.pass.:6:36: v-0.9 d-0.2 m-3.8 v0.9 d-0.3 m1.8 v2.4 d0.0 m-2.4 v2.5 d-0.0 m0.5

Sun GHA GHA Dec GHA Dec GHA Dec GHA Dec0 261◦31.5 157◦32.3 24◦06.0 138◦07.1 21◦14.7 287◦06.3 -11◦35.7 305◦40.6 -17◦30.81 276◦34.0 172◦31.5 24◦05.7 153◦07.9 21◦14.3 302◦08.7 -11◦35.7 320◦43.2 -17◦30.82 291◦36.4 187◦30.6 24◦05.5 168◦08.8 21◦14.0 317◦11.1 -11◦35.7 335◦45.7 -17◦30.83 306◦38.9 202◦29.7 24◦05.3 183◦09.6 21◦13.6 332◦13.5 -11◦35.7 350◦48.3 -17◦30.94 321◦41.4 217◦28.9 24◦05.1 198◦10.5 21◦13.3 347◦15.9 -11◦35.6 5◦50.8 -17◦30.95 336◦43.8 232◦28.0 24◦04.8 213◦11.3 21◦12.9 2◦18.3 -11◦35.6 20◦53.4 -17◦30.96 351◦46.3 247◦27.1 24◦04.6 228◦12.2 21◦12.6 17◦20.7 -11◦35.6 35◦55.9 -17◦31.07 6◦48.8 262◦26.3 24◦04.4 243◦13.1 21◦12.2 32◦23.1 -11◦35.6 50◦58.4 -17◦31.08 21◦51.2 277◦25.4 24◦04.1 258◦13.9 21◦11.9 47◦25.5 -11◦35.6 66◦01.0 -17◦31.09 36◦53.7 292◦24.5 24◦03.9 273◦14.8 21◦11.5 62◦27.9 -11◦35.6 81◦03.5 -17◦31.010 51◦56.2 307◦23.7 24◦03.7 288◦15.6 21◦11.2 77◦30.3 -11◦35.6 96◦06.1 -17◦31.111 66◦58.6 322◦22.8 24◦03.4 303◦16.5 21◦10.8 92◦32.7 -11◦35.6 111◦08.6 -17◦31.112 82◦01.1 337◦22.0 24◦03.2 318◦17.3 21◦10.5 107◦35.1 -11◦35.6 126◦11.2 -17◦31.113 97◦03.5 352◦21.1 24◦03.0 333◦18.2 21◦10.1 122◦37.5 -11◦35.6 141◦13.7 -17◦31.214 112◦06.0 7◦20.2 24◦02.7 348◦19.0 21◦09.8 137◦39.9 -11◦35.5 156◦16.3 -17◦31.215 127◦08.5 22◦19.4 24◦02.5 3◦19.9 21◦09.4 152◦42.4 -11◦35.5 171◦18.8 -17◦31.216 142◦10.9 37◦18.5 24◦02.2 18◦20.7 21◦09.1 167◦44.8 -11◦35.5 186◦21.3 -17◦31.217 157◦13.4 52◦17.6 24◦02.0 33◦21.6 21◦08.7 182◦47.2 -11◦35.5 201◦23.9 -17◦31.318 172◦15.9 67◦16.8 24◦01.8 48◦22.5 21◦08.4 197◦49.6 -11◦35.5 216◦26.4 -17◦31.319 187◦18.3 82◦15.9 24◦01.5 63◦23.3 21◦08.0 212◦52.0 -11◦35.5 231◦29.0 -17◦31.320 202◦20.8 97◦15.1 24◦01.3 78◦24.2 21◦07.7 227◦54.4 -11◦35.5 246◦31.5 -17◦31.421 217◦23.3 112◦14.2 24◦01.0 93◦25.0 21◦07.3 242◦56.8 -11◦35.5 261◦34.1 -17◦31.422 232◦25.7 127◦13.3 24◦00.8 108◦25.9 21◦07.0 257◦59.2 -11◦35.5 276◦36.6 -17◦31.423 247◦28.2 142◦12.5 24◦00.5 123◦26.7 21◦06.6 273◦01.6 -11◦35.5 291◦39.2 -17◦31.5Mer.pass.:6:32: v-0.9 d-0.2 m-3.8 v0.9 d-0.3 m1.8 v2.4 d0.0 m-2.4 v2.5 d-0.0 m0.5

Mon GHA GHA Dec GHA Dec GHA Dec GHA Dec0 262◦30.6 157◦11.6 24◦00.3 138◦27.6 21◦06.3 288◦04.0 -11◦35.5 306◦41.7 -17◦31.51 277◦33.1 172◦10.8 24◦00.0 153◦28.5 21◦05.9 303◦06.4 -11◦35.4 321◦44.3 -17◦31.52 292◦35.6 187◦09.9 23◦59.8 168◦29.3 21◦05.6 318◦08.8 -11◦35.4 336◦46.8 -17◦31.53 307◦38.0 202◦09.0 23◦59.5 183◦30.2 21◦05.2 333◦11.3 -11◦35.4 351◦49.4 -17◦31.64 322◦40.5 217◦08.2 23◦59.2 198◦31.0 21◦04.9 348◦13.7 -11◦35.4 6◦51.9 -17◦31.65 337◦43.0 232◦07.3 23◦59.0 213◦31.9 21◦04.5 3◦16.1 -11◦35.4 21◦54.5 -17◦31.66 352◦45.4 247◦06.5 23◦58.7 228◦32.7 21◦04.2 18◦18.5 -11◦35.4 36◦57.0 -17◦31.77 7◦47.9 262◦05.6 23◦58.5 243◦33.6 21◦03.8 33◦20.9 -11◦35.4 51◦59.6 -17◦31.78 22◦50.4 277◦04.8 23◦58.2 258◦34.4 21◦03.4 48◦23.3 -11◦35.4 67◦02.1 -17◦31.79 37◦52.8 292◦03.9 23◦57.9 273◦35.3 21◦03.1 63◦25.7 -11◦35.4 82◦04.7 -17◦31.810 52◦55.3 307◦03.0 23◦57.7 288◦36.2 21◦02.7 78◦28.1 -11◦35.4 97◦07.2 -17◦31.811 67◦57.8 322◦02.2 23◦57.4 303◦37.0 21◦02.4 93◦30.5 -11◦35.4 112◦09.8 -17◦31.812 83◦00.2 337◦01.3 23◦57.1 318◦37.9 21◦02.0 108◦33.0 -11◦35.4 127◦12.3 -17◦31.813 98◦02.7 352◦00.5 23◦56.9 333◦38.7 21◦01.7 123◦35.4 -11◦35.4 142◦14.9 -17◦31.914 113◦05.1 6◦59.6 23◦56.6 348◦39.6 21◦01.3 138◦37.8 -11◦35.3 157◦17.4 -17◦31.915 128◦07.6 21◦58.8 23◦56.3 3◦40.4 21◦01.0 153◦40.2 -11◦35.3 172◦20.0 -17◦31.916 143◦10.1 36◦57.9 23◦56.1 18◦41.3 21◦00.6 168◦42.6 -11◦35.3 187◦22.5 -17◦32.017 158◦12.5 51◦57.1 23◦55.8 33◦42.2 21◦00.2 183◦45.0 -11◦35.3 202◦25.1 -17◦32.018 173◦15.0 66◦56.2 23◦55.5 48◦43.0 20◦59.9 198◦47.4 -11◦35.3 217◦27.6 -17◦32.019 188◦17.5 81◦55.3 23◦55.2 63◦43.9 20◦59.5 213◦49.9 -11◦35.3 232◦30.2 -17◦32.120 203◦19.9 96◦54.5 23◦55.0 78◦44.7 20◦59.2 228◦52.3 -11◦35.3 247◦32.7 -17◦32.121 218◦22.4 111◦53.6 23◦54.7 93◦45.6 20◦58.8 243◦54.7 -11◦35.3 262◦35.3 -17◦32.122 233◦24.9 126◦52.8 23◦54.4 108◦46.5 20◦58.5 258◦57.1 -11◦35.3 277◦37.8 -17◦32.123 248◦27.3 141◦51.9 23◦54.1 123◦47.3 20◦58.1 273◦59.5 -11◦35.3 292◦40.4 -17◦32.2Mer.pass.:6:28: v-0.9 d-0.3 m-3.8 v0.9 d-0.4 m1.8 v2.4 d0.0 m-2.4 v2.5 d-0.0 m0.5

StarsSHA Dec

Alpheratz 357◦37.8 29◦12.3Ankaa 353◦10.2 -42◦11.3

Schedar 349◦34.5 56◦38.9Diphda 348◦50.3 -17◦52.2

Achernar 335◦22.8 -57◦07.5Hamal 327◦54.7 23◦33.6Polaris 315◦46.1 89◦21.0Akamar 315◦14.4 -40◦13.1Menkar 314◦09.5 4◦10.3Mirfak 308◦32.9 49◦56.0

Aldebaran 290◦43.3 16◦33.0Rigel 281◦07.0 -8◦10.7

Capella 280◦26.7 46◦01.1Bellatrix 278◦26.4 6◦22.1Elnath 278◦06.0 28◦37.4Alnilam 275◦41.0 -1◦11.4

Betelgeuse 270◦55.6 7◦24.6Canopus 263◦54.2 -52◦42.5

Sirius 258◦29.1 -16◦44.6Adara 255◦08.5 -29◦00.2

Procyon 244◦54.1 5◦10.3Pollux 243◦21.1 27◦58.5Avior 234◦16.4 -59◦34.9Suhail 222◦48.7 -43◦31.3

Miaplacidus 221◦39.3 -69◦48.5Alphard 217◦50.8 -8◦45.1Regulus 207◦37.6 11◦51.9Dubhe 193◦44.8 61◦38.5

Denebola 182◦27.8 14◦27.3Gienah 175◦46.5 -17◦39.7Acrux 173◦03.1 -63◦13.3

Gacrux 171◦54.6 -57◦14.2Alioth 166◦15.5 55◦51.0Spica 158◦25.2 -11◦16.3Alcaid 152◦54.1 49◦12.7Hadar 148◦39.6 -60◦28.7

Menkent 148◦00.8 -36◦28.6Arcturus 145◦50.2 19◦04.7

Rigil Kent. 139◦43.7 -60◦55.5Zubenelg. 136◦59.0 -16◦07.8Kochab 137◦18.9 74◦04.3

Alphecca 126◦05.9 26◦38.7Antares 112◦19.0 -26◦28.7

Atria 107◦15.3 -69◦03.9Sabik 102◦05.8 -15◦45.0

Shaula 96◦13.9 -37◦07.1Rasalhague 96◦00.9 12◦32.7

Etamin 90◦43.0 51◦29.1Kaus Aust. 83◦36.0 -34◦22.4

Vega 80◦34.8 38◦48.1Nunki 75◦51.0 -26◦16.1Altair 62◦02.6 8◦55.4

Peacock 53◦09.9 -56◦39.8Deneb 49◦27.4 45◦21.2

Enif 33◦41.5 9◦58.3Alnair 27◦36.5 -46◦51.2

Fomalhaut 15◦17.8 -29◦30.4Scheat 13◦48.0 28◦11.7Markab 13◦32.8 15◦19.0

2021/6/1 SHA Mer.passVenus 257◦20.8 13:29Mars 237◦14.3 14:48

Jupiter 25◦36.4 04:55Saturn 44◦07.3 03:41

2021/6/1 SHA Mer.passVenus 256◦00.8 13:31Mars 236◦35.6 14:47

Jupiter 25◦34.8 04:51Saturn 44◦09.1 03:37

2021/6/1 SHA Mer.passVenus 254◦41.0 13:32Mars 235◦56.9 14:45

Jupiter 25◦33.4 04:47Saturn 44◦11.1 03:33

Horizontal paralaxVenus: 0.1Mars: 0.1

110

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2021 June 12 to Jun. 14

h Sun MoonSat GHA Dec GHA ν Dec d HP0 180◦02.8 23◦09.0 161◦16.5 9.8 25◦37.2 0.5 54.71 195◦02.7 23◦09.1 175◦45.4 9.8 25◦37.7 0.4 54.72 210◦02.6 23◦09.3 190◦14.1 9.8 25◦38.0 0.3 54.73 225◦02.4 23◦09.4 204◦42.9 9.8 25◦38.2 0.1 54.74 240◦02.3 23◦09.6 219◦11.7 9.7 25◦38.3 0.0 54.75 255◦02.2 23◦09.7 233◦40.4 9.7 25◦38.2 -0.1 54.76 270◦02.0 23◦09.9 248◦09.1 9.7 25◦38.1 -0.2 54.87 285◦01.9 23◦10.1 262◦37.8 9.7 25◦37.8 -0.4 54.88 300◦01.8 23◦10.2 277◦06.5 9.7 25◦37.3 -0.5 54.89 315◦01.7 23◦10.4 291◦35.2 9.7 25◦36.8 -0.6 54.810 330◦01.5 23◦10.5 306◦03.8 9.7 25◦36.1 -0.8 54.811 345◦01.4 23◦10.7 320◦32.5 9.7 25◦35.2 -0.9 54.812 0◦01.3 23◦10.8 335◦01.1 9.6 25◦34.3 -1.0 54.813 15◦01.1 23◦11.0 349◦29.8 9.6 25◦33.2 -1.2 54.914 30◦01.0 23◦11.1 3◦58.4 9.6 25◦32.0 -1.3 54.915 45◦00.9 23◦11.2 18◦27.1 9.6 25◦30.6 -1.4 54.916 60◦00.7 23◦11.4 32◦55.7 9.6 25◦29.2 -1.5 54.917 75◦00.6 23◦11.5 47◦24.3 9.6 25◦27.5 -1.7 54.918 90◦00.5 23◦11.7 61◦52.9 9.6 25◦25.8 -1.8 54.919 105◦00.3 23◦11.8 76◦21.5 9.6 25◦23.9 -1.9 55.020 120◦00.2 23◦12.0 90◦50.2 9.6 25◦21.9 -2.1 55.021 135◦00.1 23◦12.1 105◦18.8 9.6 25◦19.8 -2.2 55.022 149◦60.0 23◦12.3 119◦47.4 9.6 25◦17.6 -2.3 55.023 164◦59.8 23◦12.4 134◦16.0 9.6 25◦15.2 -2.5 55.0

SD.=15.7 d=0.2 S.D.=14.9

Sun GHA Dec GHA ν Dec d HP0 179◦59.7 23◦12.5 148◦44.7 9.6 25◦12.7 -2.6 55.01 194◦59.6 23◦12.7 163◦13.3 9.6 25◦10.0 -2.7 55.12 209◦59.4 23◦12.8 177◦41.9 9.6 25◦07.2 -2.8 55.13 224◦59.3 23◦13.0 192◦10.6 9.7 25◦04.3 -3.0 55.14 239◦59.2 23◦13.1 206◦39.3 9.7 25◦01.3 -3.1 55.15 254◦59.0 23◦13.2 221◦07.9 9.7 24◦58.1 -3.2 55.16 269◦58.9 23◦13.4 235◦36.6 9.7 24◦54.8 -3.4 55.17 284◦58.8 23◦13.5 250◦05.3 9.7 24◦51.4 -3.5 55.28 299◦58.6 23◦13.6 264◦34.0 9.7 24◦47.8 -3.6 55.29 314◦58.5 23◦13.8 279◦02.7 9.7 24◦44.2 -3.7 55.210 329◦58.4 23◦13.9 293◦31.4 9.7 24◦40.4 -3.9 55.211 344◦58.2 23◦14.0 308◦00.2 9.8 24◦36.4 -4.0 55.212 359◦58.1 23◦14.2 322◦28.9 9.8 24◦32.4 -4.1 55.313 14◦58.0 23◦14.3 336◦57.7 9.8 24◦28.2 -4.3 55.314 29◦57.8 23◦14.4 351◦26.5 9.8 24◦23.8 -4.4 55.315 44◦57.7 23◦14.6 5◦55.3 9.8 24◦19.4 -4.5 55.316 59◦57.6 23◦14.7 20◦24.1 9.8 24◦14.8 -4.6 55.317 74◦57.4 23◦14.8 34◦53.0 9.9 24◦10.1 -4.8 55.318 89◦57.3 23◦14.9 49◦21.9 9.9 24◦05.3 -4.9 55.419 104◦57.2 23◦15.1 63◦50.8 9.9 24◦00.4 -5.0 55.420 119◦57.1 23◦15.2 78◦19.7 9.9 23◦55.3 -5.1 55.421 134◦56.9 23◦15.3 92◦48.6 10.0 23◦50.1 -5.3 55.422 149◦56.8 23◦15.4 107◦17.6 10.0 23◦44.8 -5.4 55.423 164◦56.7 23◦15.6 121◦46.6 10.0 23◦39.3 -5.5 55.5

SD.=15.7 d=0.1 S.D.=15.0

Mon GHA Dec GHA ν Dec d HP0 179◦56.5 23◦15.7 136◦15.6 10.0 23◦33.8 -5.6 55.51 194◦56.4 23◦15.8 150◦44.6 10.1 23◦28.1 -5.8 55.52 209◦56.3 23◦15.9 165◦13.7 10.1 23◦22.2 -5.9 55.53 224◦56.1 23◦16.1 179◦42.8 10.1 23◦16.3 -6.0 55.54 239◦56.0 23◦16.2 194◦11.9 10.1 23◦10.3 -6.1 55.65 254◦55.9 23◦16.3 208◦41.0 10.2 23◦04.1 -6.2 55.66 269◦55.7 23◦16.4 223◦10.2 10.2 22◦57.8 -6.4 55.67 284◦55.6 23◦16.5 237◦39.4 10.2 22◦51.4 -6.5 55.68 299◦55.5 23◦16.7 252◦08.7 10.3 22◦44.8 -6.6 55.79 314◦55.3 23◦16.8 266◦37.9 10.3 22◦38.2 -6.7 55.710 329◦55.2 23◦16.9 281◦07.2 10.3 22◦31.4 -6.8 55.711 344◦55.1 23◦17.0 295◦36.6 10.3 22◦24.5 -7.0 55.712 359◦54.9 23◦17.1 310◦05.9 10.4 22◦17.5 -7.1 55.713 14◦54.8 23◦17.2 324◦35.3 10.4 22◦10.3 -7.2 55.814 29◦54.7 23◦17.3 339◦04.8 10.4 22◦03.1 -7.3 55.815 44◦54.5 23◦17.5 353◦34.2 10.5 21◦55.7 -7.4 55.816 59◦54.4 23◦17.6 8◦03.7 10.5 21◦48.3 -7.5 55.817 74◦54.3 23◦17.7 22◦33.3 10.5 21◦40.7 -7.6 55.918 89◦54.1 23◦17.8 37◦02.8 10.6 21◦33.0 -7.8 55.919 104◦54.0 23◦17.9 51◦32.4 10.6 21◦25.1 -7.9 55.920 119◦53.9 23◦18.0 66◦02.0 10.7 21◦17.2 -8.0 55.921 134◦53.7 23◦18.1 80◦31.7 10.7 21◦09.2 -8.1 55.922 149◦53.6 23◦18.2 95◦01.4 10.7 21◦01.0 -8.2 56.023 164◦53.5 23◦18.3 109◦31.2 10.8 20◦52.7 -8.3 56.0

SD.=15.7 d=0.1 S.D.=15.1

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 –:– –:– –:– –:– –:– –:–70 –:– –:– –:– –:– –:– –:–68 –:– –:– –:– –:– –:– –:–66 –:– –:– –:– –:– –:– –:–64 –:– –:– 01:35 22:26 –:– –:–62 –:– –:– 02:11 21:50 –:– –:–60 –:– 00:56 02:37 21:24 23:06 –:–58 –:– 01:43 02:57 21:04 22:18 –:–56 –:– 02:12 03:14 20:47 21:49 –:–54 00:51 02:34 03:28 20:33 21:27 23:1152 01:34 02:51 03:40 20:21 21:09 22:2750 02:01 03:06 03:51 20:10 20:54 21:5945 02:46 03:35 04:13 19:48 20:25 21:1440 03:16 03:58 04:31 19:30 20:03 20:4435 03:39 04:16 04:46 19:15 19:45 20:2130 03:58 04:31 04:58 19:02 19:29 20:0320 04:27 04:56 05:20 18:40 19:05 19:3410 04:49 05:16 05:39 18:21 18:44 19:110 05:08 05:34 05:56 18:04 18:26 18:52-10 05:25 05:51 06:14 17:46 18:09 18:36-20 05:41 06:08 06:32 17:28 17:52 18:20-30 05:57 06:27 06:53 17:07 17:33 18:03-35 06:06 06:37 07:05 16:55 17:23 17:55-40 06:15 06:49 07:19 16:41 17:11 17:45-45 06:25 07:02 07:36 16:24 16:58 17:35-50 06:37 07:18 07:57 16:03 16:42 17:23-52 06:42 07:26 08:06 15:54 16:35 17:18-54 06:48 07:34 08:17 15:43 16:26 17:13-56 06:54 07:43 08:30 15:30 16:17 17:06-58 07:00 07:53 08:44 15:16 16:07 16:60-60 07:08 08:04 09:02 14:58 15:56 16:52

Moonrise MoonsetLat. Sat Sun Mon Sat Sun Mon72 –:– –:– –:– –:– –:– –:–70 –:– –:– –:– –:– –:– –:–68 –:– –:– –:– –:– –:– –:–66 –:– –:– 04:12 –:– –:– 01:5964 02:06 03:22 05:04 00:29 01:01 01:0662 03:05 04:10 05:36 –:– 00:13 00:3460 03:39 04:41 05:60 23:42 –:– 00:1058 04:04 05:04 06:19 23:18 23:51 –:–56 04:24 05:23 06:34 22:59 23:35 23:6054 04:40 05:39 06:48 22:43 23:21 23:4852 04:54 05:52 06:60 22:30 23:09 23:3950 05:07 06:04 07:10 22:18 22:58 23:3045 05:32 06:29 07:32 21:53 22:35 23:1140 05:53 06:48 07:49 21:33 22:17 22:5635 06:10 07:05 08:04 21:16 22:02 22:4330 06:24 07:19 08:17 21:02 21:49 22:3120 06:49 07:43 08:38 20:37 21:26 22:1210 07:11 08:04 08:57 20:16 21:06 21:550 07:31 08:23 09:14 19:56 20:48 21:39-10 07:51 08:42 09:32 19:36 20:29 21:23-20 08:13 09:03 09:50 19:15 20:09 21:05-30 08:38 09:27 10:12 18:50 19:46 20:45-35 08:52 09:41 10:24 18:35 19:33 20:33-40 09:09 09:57 10:39 18:18 19:17 20:20-45 09:30 10:16 10:56 17:58 18:58 20:04-50 09:56 10:41 11:16 17:33 18:34 19:44-52 10:08 10:52 11:26 17:20 18:23 19:34-54 10:22 11:05 11:38 17:06 18:10 19:23-56 10:39 11:21 11:50 16:49 17:55 19:11-58 10:59 11:39 12:05 16:29 17:37 18:57-60 11:24 12:01 12:22 16:04 17:16 18:40

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower12 00:11 00:05 11:59 13:43 01:17 2(4%)13 00:01 00:08 12:00 14:35 02:09 3(9%)14 00:14 00:20 12:00 15:26 03:01 4(15%)

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June 15, 16 ,17 (Tue., Wed., Thu.)Aries Venus Mars Jupiter Saturn

Tue GHA GHA Dec GHA Dec GHA Dec GHA Dec0 263◦29.8 156◦51.1 23◦53.9 138◦48.2 20◦57.7 289◦01.9 -11◦35.3 307◦42.9 -17◦32.21 278◦32.3 171◦50.2 23◦53.6 153◦49.0 20◦57.4 304◦04.4 -11◦35.3 322◦45.5 -17◦32.22 293◦34.7 186◦49.4 23◦53.3 168◦49.9 20◦57.0 319◦06.8 -11◦35.3 337◦48.0 -17◦32.33 308◦37.2 201◦48.5 23◦53.0 183◦50.7 20◦56.7 334◦09.2 -11◦35.3 352◦50.6 -17◦32.34 323◦39.6 216◦47.7 23◦52.7 198◦51.6 20◦56.3 349◦11.6 -11◦35.3 7◦53.1 -17◦32.35 338◦42.1 231◦46.8 23◦52.4 213◦52.5 20◦55.9 4◦14.0 -11◦35.3 22◦55.7 -17◦32.46 353◦44.6 246◦46.0 23◦52.1 228◦53.3 20◦55.6 19◦16.5 -11◦35.3 37◦58.2 -17◦32.47 8◦47.0 261◦45.1 23◦51.9 243◦54.2 20◦55.2 34◦18.9 -11◦35.3 53◦00.8 -17◦32.48 23◦49.5 276◦44.3 23◦51.6 258◦55.0 20◦54.9 49◦21.3 -11◦35.2 68◦03.3 -17◦32.59 38◦52.0 291◦43.4 23◦51.3 273◦55.9 20◦54.5 64◦23.7 -11◦35.2 83◦05.9 -17◦32.510 53◦54.4 306◦42.6 23◦51.0 288◦56.8 20◦54.1 79◦26.1 -11◦35.2 98◦08.4 -17◦32.511 68◦56.9 321◦41.7 23◦50.7 303◦57.6 20◦53.8 94◦28.5 -11◦35.2 113◦11.0 -17◦32.512 83◦59.4 336◦40.9 23◦50.4 318◦58.5 20◦53.4 109◦31.0 -11◦35.2 128◦13.5 -17◦32.613 99◦01.8 351◦40.0 23◦50.1 333◦59.3 20◦53.1 124◦33.4 -11◦35.2 143◦16.1 -17◦32.614 114◦04.3 6◦39.2 23◦49.8 349◦00.2 20◦52.7 139◦35.8 -11◦35.2 158◦18.6 -17◦32.615 129◦06.8 21◦38.3 23◦49.5 4◦01.1 20◦52.3 154◦38.2 -11◦35.2 173◦21.2 -17◦32.716 144◦09.2 36◦37.5 23◦49.2 19◦01.9 20◦52.0 169◦40.7 -11◦35.2 188◦23.7 -17◦32.717 159◦11.7 51◦36.6 23◦48.9 34◦02.8 20◦51.6 184◦43.1 -11◦35.2 203◦26.3 -17◦32.718 174◦14.1 66◦35.8 23◦48.6 49◦03.6 20◦51.2 199◦45.5 -11◦35.2 218◦28.8 -17◦32.819 189◦16.6 81◦34.9 23◦48.3 64◦04.5 20◦50.9 214◦47.9 -11◦35.2 233◦31.4 -17◦32.820 204◦19.1 96◦34.1 23◦48.0 79◦05.4 20◦50.5 229◦50.3 -11◦35.2 248◦34.0 -17◦32.821 219◦21.5 111◦33.2 23◦47.7 94◦06.2 20◦50.2 244◦52.8 -11◦35.2 263◦36.5 -17◦32.922 234◦24.0 126◦32.4 23◦47.4 109◦07.1 20◦49.8 259◦55.2 -11◦35.2 278◦39.1 -17◦32.923 249◦26.5 141◦31.6 23◦47.1 124◦08.0 20◦49.4 274◦57.6 -11◦35.2 293◦41.6 -17◦32.9Mer.pass.:6:24: v-0.9 d-0.3 m-3.8 v0.9 d-0.4 m1.8 v2.4 d0.0 m-2.4 v2.6 d-0.0 m0.5

Wed GHA GHA Dec GHA Dec GHA Dec GHA Dec0 264◦28.9 156◦30.7 23◦46.8 139◦08.8 20◦49.1 290◦00.0 -11◦35.2 308◦44.2 -17◦33.01 279◦31.4 171◦29.9 23◦46.4 154◦09.7 20◦48.7 305◦02.5 -11◦35.2 323◦46.7 -17◦33.02 294◦33.9 186◦29.0 23◦46.1 169◦10.5 20◦48.3 320◦04.9 -11◦35.2 338◦49.3 -17◦33.03 309◦36.3 201◦28.2 23◦45.8 184◦11.4 20◦48.0 335◦07.3 -11◦35.2 353◦51.8 -17◦33.14 324◦38.8 216◦27.3 23◦45.5 199◦12.3 20◦47.6 350◦09.7 -11◦35.2 8◦54.4 -17◦33.15 339◦41.2 231◦26.5 23◦45.2 214◦13.1 20◦47.2 5◦12.2 -11◦35.2 23◦56.9 -17◦33.16 354◦43.7 246◦25.6 23◦44.9 229◦14.0 20◦46.9 20◦14.6 -11◦35.2 38◦59.5 -17◦33.17 9◦46.2 261◦24.8 23◦44.5 244◦14.8 20◦46.5 35◦17.0 -11◦35.2 54◦02.1 -17◦33.28 24◦48.6 276◦24.0 23◦44.2 259◦15.7 20◦46.1 50◦19.4 -11◦35.2 69◦04.6 -17◦33.29 39◦51.1 291◦23.1 23◦43.9 274◦16.6 20◦45.8 65◦21.9 -11◦35.2 84◦07.2 -17◦33.210 54◦53.6 306◦22.3 23◦43.6 289◦17.4 20◦45.4 80◦24.3 -11◦35.2 99◦09.7 -17◦33.311 69◦56.0 321◦21.4 23◦43.3 304◦18.3 20◦45.0 95◦26.7 -11◦35.2 114◦12.3 -17◦33.312 84◦58.5 336◦20.6 23◦42.9 319◦19.2 20◦44.7 110◦29.2 -11◦35.2 129◦14.8 -17◦33.313 100◦01.0 351◦19.7 23◦42.6 334◦20.0 20◦44.3 125◦31.6 -11◦35.2 144◦17.4 -17◦33.414 115◦03.4 6◦18.9 23◦42.3 349◦20.9 20◦43.9 140◦34.0 -11◦35.2 159◦19.9 -17◦33.415 130◦05.9 21◦18.1 23◦42.0 4◦21.7 20◦43.6 155◦36.4 -11◦35.2 174◦22.5 -17◦33.416 145◦08.4 36◦17.2 23◦41.6 19◦22.6 20◦43.2 170◦38.9 -11◦35.2 189◦25.1 -17◦33.517 160◦10.8 51◦16.4 23◦41.3 34◦23.5 20◦42.8 185◦41.3 -11◦35.2 204◦27.6 -17◦33.518 175◦13.3 66◦15.5 23◦41.0 49◦24.3 20◦42.5 200◦43.7 -11◦35.2 219◦30.2 -17◦33.519 190◦15.7 81◦14.7 23◦40.6 64◦25.2 20◦42.1 215◦46.2 -11◦35.2 234◦32.7 -17◦33.620 205◦18.2 96◦13.9 23◦40.3 79◦26.1 20◦41.7 230◦48.6 -11◦35.2 249◦35.3 -17◦33.621 220◦20.7 111◦13.0 23◦40.0 94◦26.9 20◦41.4 245◦51.0 -11◦35.2 264◦37.8 -17◦33.622 235◦23.1 126◦12.2 23◦39.6 109◦27.8 20◦41.0 260◦53.5 -11◦35.2 279◦40.4 -17◦33.723 250◦25.6 141◦11.4 23◦39.3 124◦28.6 20◦40.6 275◦55.9 -11◦35.2 294◦43.0 -17◦33.7Mer.pass.:6:21: v-0.8 d-0.3 m-3.8 v0.9 d-0.4 m1.8 v2.4 d0.0 m-2.4 v2.6 d-0.0 m0.5

Thu GHA GHA Dec GHA Dec GHA Dec GHA Dec0 265◦28.1 156◦10.5 23◦39.0 139◦29.5 20◦40.2 290◦58.3 -11◦35.2 309◦45.5 -17◦33.71 280◦30.5 171◦09.7 23◦38.6 154◦30.4 20◦39.9 306◦00.8 -11◦35.2 324◦48.1 -17◦33.82 295◦33.0 186◦08.8 23◦38.3 169◦31.2 20◦39.5 321◦03.2 -11◦35.2 339◦50.6 -17◦33.83 310◦35.5 201◦08.0 23◦37.9 184◦32.1 20◦39.1 336◦05.6 -11◦35.2 354◦53.2 -17◦33.84 325◦37.9 216◦07.2 23◦37.6 199◦33.0 20◦38.8 351◦08.1 -11◦35.2 9◦55.8 -17◦33.95 340◦40.4 231◦06.3 23◦37.2 214◦33.8 20◦38.4 6◦10.5 -11◦35.2 24◦58.3 -17◦33.96 355◦42.9 246◦05.5 23◦36.9 229◦34.7 20◦38.0 21◦12.9 -11◦35.2 40◦00.9 -17◦33.97 10◦45.3 261◦04.7 23◦36.6 244◦35.6 20◦37.7 36◦15.4 -11◦35.2 55◦03.4 -17◦34.08 25◦47.8 276◦03.8 23◦36.2 259◦36.4 20◦37.3 51◦17.8 -11◦35.2 70◦06.0 -17◦34.09 40◦50.2 291◦03.0 23◦35.9 274◦37.3 20◦36.9 66◦20.2 -11◦35.2 85◦08.6 -17◦34.010 55◦52.7 306◦02.2 23◦35.5 289◦38.2 20◦36.5 81◦22.7 -11◦35.2 100◦11.1 -17◦34.111 70◦55.2 321◦01.3 23◦35.2 304◦39.0 20◦36.2 96◦25.1 -11◦35.2 115◦13.7 -17◦34.112 85◦57.6 336◦00.5 23◦34.8 319◦39.9 20◦35.8 111◦27.5 -11◦35.2 130◦16.2 -17◦34.113 101◦00.1 350◦59.7 23◦34.4 334◦40.8 20◦35.4 126◦30.0 -11◦35.2 145◦18.8 -17◦34.214 116◦02.6 5◦58.8 23◦34.1 349◦41.6 20◦35.0 141◦32.4 -11◦35.2 160◦21.3 -17◦34.215 131◦05.0 20◦58.0 23◦33.7 4◦42.5 20◦34.7 156◦34.8 -11◦35.2 175◦23.9 -17◦34.216 146◦07.5 35◦57.2 23◦33.4 19◦43.3 20◦34.3 171◦37.3 -11◦35.2 190◦26.5 -17◦34.317 161◦10.0 50◦56.3 23◦33.0 34◦44.2 20◦33.9 186◦39.7 -11◦35.2 205◦29.0 -17◦34.318 176◦12.4 65◦55.5 23◦32.7 49◦45.1 20◦33.5 201◦42.2 -11◦35.2 220◦31.6 -17◦34.319 191◦14.9 80◦54.7 23◦32.3 64◦45.9 20◦33.2 216◦44.6 -11◦35.2 235◦34.2 -17◦34.420 206◦17.3 95◦53.8 23◦31.9 79◦46.8 20◦32.8 231◦47.0 -11◦35.2 250◦36.7 -17◦34.421 221◦19.8 110◦53.0 23◦31.6 94◦47.7 20◦32.4 246◦49.5 -11◦35.2 265◦39.3 -17◦34.422 236◦22.3 125◦52.2 23◦31.2 109◦48.5 20◦32.0 261◦51.9 -11◦35.2 280◦41.8 -17◦34.523 251◦24.7 140◦51.3 23◦30.8 124◦49.4 20◦31.7 276◦54.3 -11◦35.2 295◦44.4 -17◦34.5Mer.pass.:6:17: v-0.8 d-0.3 m-3.8 v0.9 d-0.4 m1.8 v2.4 d-0.0 m-2.4 v2.6 d-0.0 m0.5

StarsSHA Dec

Alpheratz 357◦37.8 29◦12.3Ankaa 353◦10.2 -42◦11.3

Schedar 349◦34.4 56◦38.9Diphda 348◦50.2 -17◦52.2

Achernar 335◦22.8 -57◦07.5Hamal 327◦54.7 23◦33.6Polaris 315◦45.1 89◦21.0Akamar 315◦14.4 -40◦13.1Menkar 314◦09.5 4◦10.3Mirfak 308◦32.8 49◦56.0

Aldebaran 290◦43.3 16◦33.0Rigel 281◦07.0 -8◦10.7

Capella 280◦26.7 46◦01.1Bellatrix 278◦26.3 6◦22.1Elnath 278◦05.9 28◦37.4Alnilam 275◦41.0 -1◦11.4

Betelgeuse 270◦55.6 7◦24.6Canopus 263◦54.2 -52◦42.5

Sirius 258◦29.1 -16◦44.6Adara 255◦08.5 -29◦00.2

Procyon 244◦54.1 5◦10.3Pollux 243◦21.1 27◦58.5Avior 234◦16.4 -59◦34.8Suhail 222◦48.7 -43◦31.3

Miaplacidus 221◦39.4 -69◦48.5Alphard 217◦50.8 -8◦45.1Regulus 207◦37.6 11◦51.9Dubhe 193◦44.8 61◦38.5

Denebola 182◦27.9 14◦27.3Gienah 175◦46.5 -17◦39.7Acrux 173◦03.1 -63◦13.3

Gacrux 171◦54.7 -57◦14.2Alioth 166◦15.5 55◦51.0Spica 158◦25.2 -11◦16.3Alcaid 152◦54.1 49◦12.7Hadar 148◦39.6 -60◦28.7

Menkent 148◦00.8 -36◦28.6Arcturus 145◦50.2 19◦04.7

Rigil Kent. 139◦43.7 -60◦55.5Zubenelg. 136◦59.0 -16◦07.8Kochab 137◦19.0 74◦04.3

Alphecca 126◦05.9 26◦38.7Antares 112◦19.0 -26◦28.7

Atria 107◦15.3 -69◦03.9Sabik 102◦05.8 -15◦45.0

Shaula 96◦13.9 -37◦07.1Rasalhague 96◦00.9 12◦32.7

Etamin 90◦43.0 51◦29.2Kaus Aust. 83◦36.0 -34◦22.4

Vega 80◦34.8 38◦48.1Nunki 75◦51.0 -26◦16.1Altair 62◦02.6 8◦55.4

Peacock 53◦09.9 -56◦39.8Deneb 49◦27.4 45◦21.2

Enif 33◦41.5 9◦58.3Alnair 27◦36.5 -46◦51.2

Fomalhaut 15◦17.8 -29◦30.4Scheat 13◦48.0 28◦11.7Markab 13◦32.7 15◦19.0

2021/6/1 SHA Mer.passVenus 253◦21.3 13:33Mars 235◦18.4 14:44

Jupiter 25◦32.2 04:43Saturn 44◦13.1 03:29

2021/6/1 SHA Mer.passVenus 252◦01.8 13:35Mars 234◦39.9 14:43

Jupiter 25◦31.1 04:39Saturn 44◦15.2 03:24

2021/6/1 SHA Mer.passVenus 250◦42.4 13:36Mars 234◦01.4 14:41

Jupiter 25◦30.3 04:35Saturn 44◦17.5 03:20

Horizontal paralaxVenus: 0.1Mars: 0.1

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2021 June 15 to Jun. 17

h Sun MoonTue GHA Dec GHA ν Dec d HP0 179◦53.3 23◦18.4 124◦00.9 10.8 20◦44.4 -8.4 56.01 194◦53.2 23◦18.5 138◦30.7 10.8 20◦35.9 -8.5 56.02 209◦53.0 23◦18.7 153◦00.6 10.9 20◦27.3 -8.6 56.13 224◦52.9 23◦18.8 167◦30.5 10.9 20◦18.6 -8.8 56.14 239◦52.8 23◦18.9 182◦00.4 10.9 20◦09.8 -8.9 56.15 254◦52.6 23◦19.0 196◦30.3 11.0 20◦00.9 -9.0 56.16 269◦52.5 23◦19.1 211◦00.3 11.0 19◦51.9 -9.1 56.27 284◦52.4 23◦19.2 225◦30.4 11.0 19◦42.7 -9.2 56.28 299◦52.2 23◦19.3 240◦00.4 11.1 19◦33.5 -9.3 56.29 314◦52.1 23◦19.4 254◦30.5 11.1 19◦24.2 -9.4 56.210 329◦52.0 23◦19.5 269◦00.6 11.2 19◦14.7 -9.5 56.311 344◦51.8 23◦19.6 283◦30.8 11.2 19◦05.2 -9.6 56.312 359◦51.7 23◦19.7 298◦01.0 11.2 18◦55.5 -9.7 56.313 14◦51.6 23◦19.8 312◦31.3 11.3 18◦45.8 -9.8 56.314 29◦51.4 23◦19.9 327◦01.5 11.3 18◦36.0 -9.9 56.415 44◦51.3 23◦19.9 341◦31.9 11.3 18◦26.0 -10.0 56.416 59◦51.2 23◦20.0 356◦02.2 11.4 18◦16.0 -10.1 56.417 74◦51.0 23◦20.1 10◦32.6 11.4 18◦05.8 -10.2 56.418 89◦50.9 23◦20.2 25◦03.0 11.4 17◦55.6 -10.3 56.519 104◦50.8 23◦20.3 39◦33.5 11.5 17◦45.3 -10.4 56.520 119◦50.6 23◦20.4 54◦03.9 11.5 17◦34.9 -10.5 56.521 134◦50.5 23◦20.5 68◦34.5 11.5 17◦24.3 -10.6 56.522 149◦50.4 23◦20.6 83◦05.0 11.6 17◦13.7 -10.7 56.623 164◦50.2 23◦20.7 97◦35.6 11.6 17◦03.0 -10.8 56.6

SD.=15.7 d=0.1 S.D.=15.3

Wed GHA Dec GHA ν Dec d HP0 179◦50.1 23◦20.8 112◦06.2 11.6 16◦52.2 -10.8 56.61 194◦50.0 23◦20.9 126◦36.9 11.7 16◦41.3 -10.9 56.62 209◦49.8 23◦21.0 141◦07.6 11.7 16◦30.3 -11.0 56.73 224◦49.7 23◦21.0 155◦38.3 11.7 16◦19.3 -11.1 56.74 239◦49.6 23◦21.1 170◦09.0 11.8 16◦08.1 -11.2 56.75 254◦49.4 23◦21.2 184◦39.8 11.8 15◦56.9 -11.3 56.86 269◦49.3 23◦21.3 199◦10.6 11.8 15◦45.5 -11.4 56.87 284◦49.1 23◦21.4 213◦41.5 11.9 15◦34.1 -11.5 56.88 299◦49.0 23◦21.5 228◦12.3 11.9 15◦22.6 -11.6 56.89 314◦48.9 23◦21.5 242◦43.2 11.9 15◦11.0 -11.6 56.910 329◦48.7 23◦21.6 257◦14.2 11.9 14◦59.3 -11.7 56.911 344◦48.6 23◦21.7 271◦45.1 12.0 14◦47.6 -11.8 56.912 359◦48.5 23◦21.8 286◦16.1 12.0 14◦35.7 -11.9 56.913 14◦48.3 23◦21.9 300◦47.1 12.0 14◦23.8 -12.0 57.014 29◦48.2 23◦21.9 315◦18.2 12.1 14◦11.8 -12.0 57.015 44◦48.1 23◦22.0 329◦49.2 12.1 13◦59.7 -12.1 57.016 59◦47.9 23◦22.1 344◦20.3 12.1 13◦47.5 -12.2 57.117 74◦47.8 23◦22.2 358◦51.4 12.1 13◦35.3 -12.3 57.118 89◦47.7 23◦22.3 13◦22.6 12.2 13◦23.0 -12.4 57.119 104◦47.5 23◦22.3 27◦53.7 12.2 13◦10.6 -12.4 57.120 119◦47.4 23◦22.4 42◦24.9 12.2 12◦58.1 -12.5 57.221 134◦47.3 23◦22.5 56◦56.1 12.2 12◦45.6 -12.6 57.222 149◦47.1 23◦22.6 71◦27.4 12.2 12◦33.0 -12.7 57.223 164◦47.0 23◦22.6 85◦58.6 12.3 12◦20.3 -12.7 57.3

SD.=15.7 d=0.1 S.D.=15.4

Thu GHA Dec GHA ν Dec d HP0 179◦46.8 23◦22.7 100◦29.9 12.3 12◦07.5 -12.8 57.31 194◦46.7 23◦22.8 115◦01.2 12.3 11◦54.7 -12.9 57.32 209◦46.6 23◦22.8 129◦32.5 12.3 11◦41.8 -12.9 57.43 224◦46.4 23◦22.9 144◦03.8 12.3 11◦28.8 -13.0 57.44 239◦46.3 23◦23.0 158◦35.1 12.3 11◦15.7 -13.1 57.45 254◦46.2 23◦23.0 173◦06.5 12.4 11◦02.6 -13.1 57.46 269◦46.0 23◦23.1 187◦37.8 12.4 10◦49.5 -13.2 57.57 284◦45.9 23◦23.2 202◦09.2 12.4 10◦36.2 -13.3 57.58 299◦45.8 23◦23.2 216◦40.6 12.4 10◦22.9 -13.3 57.59 314◦45.6 23◦23.3 231◦12.0 12.4 10◦09.6 -13.4 57.610 329◦45.5 23◦23.4 245◦43.5 12.4 9◦56.1 -13.5 57.611 344◦45.4 23◦23.4 260◦14.9 12.4 9◦42.6 -13.5 57.612 359◦45.2 23◦23.5 274◦46.3 12.4 9◦29.1 -13.6 57.713 14◦45.1 23◦23.6 289◦17.8 12.5 9◦15.5 -13.6 57.714 29◦44.9 23◦23.6 303◦49.2 12.5 9◦01.8 -13.7 57.715 44◦44.8 23◦23.7 318◦20.7 12.5 8◦48.1 -13.8 57.716 59◦44.7 23◦23.7 332◦52.2 12.5 8◦34.3 -13.8 57.817 74◦44.5 23◦23.8 347◦23.6 12.5 8◦20.5 -13.9 57.818 89◦44.4 23◦23.9 1◦55.1 12.5 8◦06.6 -13.9 57.819 104◦44.3 23◦23.9 16◦26.6 12.5 7◦52.6 -14.0 57.920 119◦44.1 23◦24.0 30◦58.1 12.5 7◦38.6 -14.0 57.921 134◦44.0 23◦24.0 45◦29.6 12.5 7◦24.6 -14.1 57.922 149◦43.9 23◦24.1 60◦01.0 12.5 7◦10.4 -14.1 58.023 164◦43.7 23◦24.1 74◦32.5 12.5 6◦56.3 -14.2 58.0

SD.=15.7 d=0.1 S.D.=15.6

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 –:– –:– –:– –:– –:– –:–70 –:– –:– –:– –:– –:– –:–68 –:– –:– –:– –:– –:– –:–66 –:– –:– –:– –:– –:– –:–64 –:– –:– 01:32 22:30 –:– –:–62 –:– –:– 02:10 21:52 –:– –:–60 –:– 00:52 02:36 21:26 23:11 –:–58 –:– 01:41 02:56 21:06 22:21 –:–56 –:– 02:11 03:13 20:49 21:51 –:–54 00:47 02:33 03:27 20:35 21:29 23:1552 01:33 02:51 03:39 20:22 21:11 22:2950 02:00 03:06 03:50 20:11 20:56 22:0245 02:46 03:35 04:13 19:49 20:26 21:1640 03:16 03:58 04:31 19:31 20:04 20:4635 03:39 04:16 04:46 19:16 19:46 20:2230 03:58 04:31 04:59 19:03 19:30 20:0420 04:27 04:56 05:21 18:41 19:05 19:3510 04:49 05:16 05:40 18:22 18:45 19:120 05:08 05:35 05:57 18:04 18:27 18:53-10 05:25 05:52 06:15 17:47 18:10 18:36-20 05:41 06:09 06:33 17:28 17:53 18:20-30 05:58 06:28 06:54 17:07 17:34 18:04-35 06:07 06:38 07:07 16:55 17:23 17:55-40 06:16 06:50 07:21 16:41 17:11 17:45-45 06:26 07:04 07:37 16:24 16:58 17:35-50 06:38 07:20 07:58 16:03 16:42 17:23-52 06:43 07:27 08:08 15:53 16:34 17:18-54 06:49 07:35 08:19 15:42 16:26 17:12-56 06:55 07:44 08:32 15:30 16:17 17:06-58 07:02 07:55 08:46 15:15 16:07 16:60-60 07:09 08:06 09:04 14:58 15:55 16:52

Moonrise MoonsetLat. Tue Wed Thu Tue Wed Thu72 –:– 06:51 09:26 –:– 02:52 01:5870 –:– 07:30 09:42 –:– 02:11 01:3968 05:44 07:57 09:56 02:14 01:43 01:2466 06:23 08:17 10:06 01:34 01:21 01:1264 06:50 08:33 10:15 01:06 01:04 01:0162 07:11 08:47 10:23 00:44 00:50 00:5260 07:27 08:58 10:29 00:27 00:37 00:4458 07:41 09:08 10:35 00:12 00:27 00:3856 07:53 09:16 10:40 –:– 00:18 00:3254 08:04 09:24 10:45 –:– 00:09 00:2652 08:13 09:30 10:49 –:– 00:02 00:2150 08:22 09:36 10:52 23:55 –:– 00:1745 08:39 09:49 11:00 23:41 –:– 00:0740 08:54 09:60 11:07 23:29 23:59 –:–35 09:06 10:09 11:13 23:19 23:52 –:–30 09:16 10:17 11:18 23:10 23:46 –:–20 09:34 10:30 11:26 22:55 23:35 –:–10 09:50 10:42 11:34 22:41 23:25 –:–0 10:05 10:53 11:41 22:28 23:16 –:–-10 10:19 11:04 11:48 22:15 23:07 23:58-20 10:35 11:16 11:55 22:01 22:57 23:53-30 10:52 11:29 12:04 21:45 22:46 23:47-35 11:03 11:37 12:09 21:36 22:39 23:43-40 11:14 11:46 12:14 21:25 22:32 23:39-45 11:28 11:56 12:20 21:12 22:23 23:35-50 11:45 12:08 12:28 20:57 22:12 23:29-52 11:53 12:14 12:32 20:50 22:07 23:26-54 12:02 12:20 12:35 20:42 22:02 23:24-56 12:11 12:27 12:40 20:32 21:56 23:20-58 12:22 12:35 12:44 20:22 21:49 23:17-60 12:35 12:43 12:49 20:10 21:41 23:13

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower15 00:27 00:33 12:00 16:16 03:51 5(23%)16 00:40 00:46 12:00 17:04 04:40 6(33%)17 00:53 00:59 12:00 17:52 05:28 7(43%)

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June 18, 19 ,20 (Fri., Sat., Sun.)Aries Venus Mars Jupiter Saturn

Fri GHA GHA Dec GHA Dec GHA Dec GHA Dec0 266◦27.2 155◦50.5 23◦30.5 139◦50.3 20◦31.3 291◦56.8 -11◦35.2 310◦47.0 -17◦34.51 281◦29.7 170◦49.7 23◦30.1 154◦51.1 20◦30.9 306◦59.2 -11◦35.2 325◦49.5 -17◦34.62 296◦32.1 185◦48.9 23◦29.7 169◦52.0 20◦30.5 322◦01.7 -11◦35.2 340◦52.1 -17◦34.63 311◦34.6 200◦48.0 23◦29.4 184◦52.9 20◦30.2 337◦04.1 -11◦35.2 355◦54.6 -17◦34.64 326◦37.1 215◦47.2 23◦29.0 199◦53.7 20◦29.8 352◦06.5 -11◦35.2 10◦57.2 -17◦34.75 341◦39.5 230◦46.4 23◦28.6 214◦54.6 20◦29.4 7◦09.0 -11◦35.2 25◦59.8 -17◦34.76 356◦42.0 245◦45.5 23◦28.3 229◦55.5 20◦29.0 22◦11.4 -11◦35.2 41◦02.3 -17◦34.77 11◦44.5 260◦44.7 23◦27.9 244◦56.3 20◦28.7 37◦13.9 -11◦35.2 56◦04.9 -17◦34.88 26◦46.9 275◦43.9 23◦27.5 259◦57.2 20◦28.3 52◦16.3 -11◦35.2 71◦07.5 -17◦34.89 41◦49.4 290◦43.1 23◦27.1 274◦58.1 20◦27.9 67◦18.8 -11◦35.2 86◦10.0 -17◦34.810 56◦51.8 305◦42.2 23◦26.7 289◦58.9 20◦27.5 82◦21.2 -11◦35.2 101◦12.6 -17◦34.911 71◦54.3 320◦41.4 23◦26.4 304◦59.8 20◦27.1 97◦23.6 -11◦35.3 116◦15.1 -17◦34.912 86◦56.8 335◦40.6 23◦26.0 320◦00.7 20◦26.8 112◦26.1 -11◦35.3 131◦17.7 -17◦34.913 101◦59.2 350◦39.8 23◦25.6 335◦01.5 20◦26.4 127◦28.5 -11◦35.3 146◦20.3 -17◦35.014 117◦01.7 5◦38.9 23◦25.2 350◦02.4 20◦26.0 142◦31.0 -11◦35.3 161◦22.8 -17◦35.015 132◦04.2 20◦38.1 23◦24.8 5◦03.3 20◦25.6 157◦33.4 -11◦35.3 176◦25.4 -17◦35.016 147◦06.6 35◦37.3 23◦24.4 20◦04.2 20◦25.3 172◦35.9 -11◦35.3 191◦28.0 -17◦35.117 162◦09.1 50◦36.5 23◦24.1 35◦05.0 20◦24.9 187◦38.3 -11◦35.3 206◦30.5 -17◦35.118 177◦11.6 65◦35.6 23◦23.7 50◦05.9 20◦24.5 202◦40.8 -11◦35.3 221◦33.1 -17◦35.119 192◦14.0 80◦34.8 23◦23.3 65◦06.8 20◦24.1 217◦43.2 -11◦35.3 236◦35.7 -17◦35.220 207◦16.5 95◦34.0 23◦22.9 80◦07.6 20◦23.7 232◦45.6 -11◦35.3 251◦38.2 -17◦35.221 222◦19.0 110◦33.2 23◦22.5 95◦08.5 20◦23.4 247◦48.1 -11◦35.3 266◦40.8 -17◦35.222 237◦21.4 125◦32.4 23◦22.1 110◦09.4 20◦23.0 262◦50.5 -11◦35.3 281◦43.3 -17◦35.323 252◦23.9 140◦31.5 23◦21.7 125◦10.2 20◦22.6 277◦53.0 -11◦35.3 296◦45.9 -17◦35.3Mer.pass.:6:13: v-0.8 d-0.4 m-3.8 v0.9 d-0.4 m1.8 v2.4 d-0.0 m-2.4 v2.6 d-0.0 m0.5

Sat GHA GHA Dec GHA Dec GHA Dec GHA Dec0 267◦26.3 155◦30.7 23◦21.3 140◦11.1 20◦22.2 292◦55.4 -11◦35.3 311◦48.5 -17◦35.31 282◦28.8 170◦29.9 23◦20.9 155◦12.0 20◦21.8 307◦57.9 -11◦35.3 326◦51.0 -17◦35.42 297◦31.3 185◦29.1 23◦20.5 170◦12.8 20◦21.4 323◦00.3 -11◦35.3 341◦53.6 -17◦35.43 312◦33.7 200◦28.3 23◦20.1 185◦13.7 20◦21.1 338◦02.8 -11◦35.3 356◦56.2 -17◦35.44 327◦36.2 215◦27.4 23◦19.7 200◦14.6 20◦20.7 353◦05.2 -11◦35.3 11◦58.7 -17◦35.55 342◦38.7 230◦26.6 23◦19.3 215◦15.4 20◦20.3 8◦07.7 -11◦35.4 27◦01.3 -17◦35.56 357◦41.1 245◦25.8 23◦18.9 230◦16.3 20◦19.9 23◦10.1 -11◦35.4 42◦03.9 -17◦35.57 12◦43.6 260◦25.0 23◦18.5 245◦17.2 20◦19.5 38◦12.6 -11◦35.4 57◦06.4 -17◦35.68 27◦46.1 275◦24.2 23◦18.1 260◦18.1 20◦19.2 53◦15.0 -11◦35.4 72◦09.0 -17◦35.69 42◦48.5 290◦23.4 23◦17.7 275◦18.9 20◦18.8 68◦17.5 -11◦35.4 87◦11.6 -17◦35.710 57◦51.0 305◦22.5 23◦17.3 290◦19.8 20◦18.4 83◦19.9 -11◦35.4 102◦14.1 -17◦35.711 72◦53.4 320◦21.7 23◦16.9 305◦20.7 20◦18.0 98◦22.4 -11◦35.4 117◦16.7 -17◦35.712 87◦55.9 335◦20.9 23◦16.5 320◦21.5 20◦17.6 113◦24.8 -11◦35.4 132◦19.3 -17◦35.813 102◦58.4 350◦20.1 23◦16.1 335◦22.4 20◦17.2 128◦27.3 -11◦35.4 147◦21.8 -17◦35.814 118◦00.8 5◦19.3 23◦15.7 350◦23.3 20◦16.8 143◦29.7 -11◦35.4 162◦24.4 -17◦35.815 133◦03.3 20◦18.5 23◦15.3 5◦24.1 20◦16.5 158◦32.2 -11◦35.4 177◦27.0 -17◦35.916 148◦05.8 35◦17.6 23◦14.8 20◦25.0 20◦16.1 173◦34.6 -11◦35.4 192◦29.5 -17◦35.917 163◦08.2 50◦16.8 23◦14.4 35◦25.9 20◦15.7 188◦37.1 -11◦35.4 207◦32.1 -17◦35.918 178◦10.7 65◦16.0 23◦14.0 50◦26.8 20◦15.3 203◦39.5 -11◦35.5 222◦34.7 -17◦36.019 193◦13.2 80◦15.2 23◦13.6 65◦27.6 20◦14.9 218◦42.0 -11◦35.5 237◦37.2 -17◦36.020 208◦15.6 95◦14.4 23◦13.2 80◦28.5 20◦14.5 233◦44.4 -11◦35.5 252◦39.8 -17◦36.021 223◦18.1 110◦13.6 23◦12.8 95◦29.4 20◦14.1 248◦46.9 -11◦35.5 267◦42.4 -17◦36.122 238◦20.6 125◦12.8 23◦12.3 110◦30.2 20◦13.8 263◦49.4 -11◦35.5 282◦44.9 -17◦36.123 253◦23.0 140◦12.0 23◦11.9 125◦31.1 20◦13.4 278◦51.8 -11◦35.5 297◦47.5 -17◦36.1Mer.pass.:6:09: v-0.8 d-0.4 m-3.8 v0.9 d-0.4 m1.8 v2.4 d-0.0 m-2.4 v2.6 d-0.0 m0.5

Sun GHA GHA Dec GHA Dec GHA Dec GHA Dec0 268◦25.5 155◦11.2 23◦11.5 140◦32.0 20◦13.0 293◦54.3 -11◦35.5 312◦50.1 -17◦36.21 283◦27.9 170◦10.3 23◦11.1 155◦32.9 20◦12.6 308◦56.7 -11◦35.5 327◦52.7 -17◦36.22 298◦30.4 185◦09.5 23◦10.6 170◦33.7 20◦12.2 323◦59.2 -11◦35.5 342◦55.2 -17◦36.23 313◦32.9 200◦08.7 23◦10.2 185◦34.6 20◦11.8 339◦01.6 -11◦35.5 357◦57.8 -17◦36.34 328◦35.3 215◦07.9 23◦09.8 200◦35.5 20◦11.4 354◦04.1 -11◦35.5 13◦00.4 -17◦36.35 343◦37.8 230◦07.1 23◦09.4 215◦36.4 20◦11.0 9◦06.5 -11◦35.6 28◦02.9 -17◦36.46 358◦40.3 245◦06.3 23◦08.9 230◦37.2 20◦10.7 24◦09.0 -11◦35.6 43◦05.5 -17◦36.47 13◦42.7 260◦05.5 23◦08.5 245◦38.1 20◦10.3 39◦11.5 -11◦35.6 58◦08.1 -17◦36.48 28◦45.2 275◦04.7 23◦08.1 260◦39.0 20◦09.9 54◦13.9 -11◦35.6 73◦10.6 -17◦36.59 43◦47.7 290◦03.9 23◦07.6 275◦39.8 20◦09.5 69◦16.4 -11◦35.6 88◦13.2 -17◦36.510 58◦50.1 305◦03.1 23◦07.2 290◦40.7 20◦09.1 84◦18.8 -11◦35.6 103◦15.8 -17◦36.511 73◦52.6 320◦02.3 23◦06.8 305◦41.6 20◦08.7 99◦21.3 -11◦35.6 118◦18.3 -17◦36.612 88◦55.0 335◦01.5 23◦06.3 320◦42.5 20◦08.3 114◦23.7 -11◦35.6 133◦20.9 -17◦36.613 103◦57.5 350◦00.6 23◦05.9 335◦43.3 20◦07.9 129◦26.2 -11◦35.6 148◦23.5 -17◦36.614 118◦60.0 4◦59.8 23◦05.4 350◦44.2 20◦07.5 144◦28.7 -11◦35.6 163◦26.1 -17◦36.715 134◦02.4 19◦59.0 23◦05.0 5◦45.1 20◦07.2 159◦31.1 -11◦35.7 178◦28.6 -17◦36.716 149◦04.9 34◦58.2 23◦04.6 20◦46.0 20◦06.8 174◦33.6 -11◦35.7 193◦31.2 -17◦36.717 164◦07.4 49◦57.4 23◦04.1 35◦46.8 20◦06.4 189◦36.0 -11◦35.7 208◦33.8 -17◦36.818 179◦09.8 64◦56.6 23◦03.7 50◦47.7 20◦06.0 204◦38.5 -11◦35.7 223◦36.3 -17◦36.819 194◦12.3 79◦55.8 23◦03.2 65◦48.6 20◦05.6 219◦41.0 -11◦35.7 238◦38.9 -17◦36.920 209◦14.8 94◦55.0 23◦02.8 80◦49.4 20◦05.2 234◦43.4 -11◦35.7 253◦41.5 -17◦36.921 224◦17.2 109◦54.2 23◦02.3 95◦50.3 20◦04.8 249◦45.9 -11◦35.7 268◦44.1 -17◦36.922 239◦19.7 124◦53.4 23◦01.9 110◦51.2 20◦04.4 264◦48.4 -11◦35.7 283◦46.6 -17◦37.023 254◦22.2 139◦52.6 23◦01.4 125◦52.1 20◦04.0 279◦50.8 -11◦35.7 298◦49.2 -17◦37.0Mer.pass.:6:05: v-0.8 d-0.4 m-3.8 v0.9 d-0.4 m1.8 v2.5 d-0.0 m-2.4 v2.6 d-0.0 m0.5

StarsSHA Dec

Alpheratz 357◦37.8 29◦12.3Ankaa 353◦10.1 -42◦11.2

Schedar 349◦34.4 56◦38.9Diphda 348◦50.2 -17◦52.1

Achernar 335◦22.8 -57◦07.5Hamal 327◦54.7 23◦33.6Polaris 315◦44.2 89◦21.0Akamar 315◦14.3 -40◦13.1Menkar 314◦09.4 4◦10.3Mirfak 308◦32.8 49◦56.0

Aldebaran 290◦43.3 16◦33.0Rigel 281◦07.0 -8◦10.7

Capella 280◦26.7 46◦01.1Bellatrix 278◦26.3 6◦22.1Elnath 278◦05.9 28◦37.4Alnilam 275◦41.0 -1◦11.4

Betelgeuse 270◦55.6 7◦24.6Canopus 263◦54.2 -52◦42.5

Sirius 258◦29.1 -16◦44.6Adara 255◦08.5 -29◦00.1

Procyon 244◦54.1 5◦10.3Pollux 243◦21.1 27◦58.5Avior 234◦16.4 -59◦34.8Suhail 222◦48.7 -43◦31.3

Miaplacidus 221◦39.4 -69◦48.5Alphard 217◦50.8 -8◦45.1Regulus 207◦37.7 11◦51.9Dubhe 193◦44.8 61◦38.5

Denebola 182◦27.9 14◦27.3Gienah 175◦46.5 -17◦39.7Acrux 173◦03.1 -63◦13.3

Gacrux 171◦54.7 -57◦14.2Alioth 166◦15.5 55◦51.0Spica 158◦25.2 -11◦16.3Alcaid 152◦54.1 49◦12.7Hadar 148◦39.7 -60◦28.7

Menkent 148◦00.8 -36◦28.6Arcturus 145◦50.2 19◦04.7

Rigil Kent. 139◦43.8 -60◦55.5Zubenelg. 136◦59.0 -16◦07.8Kochab 137◦19.0 74◦04.3

Alphecca 126◦05.9 26◦38.7Antares 112◦19.0 -26◦28.7

Atria 107◦15.3 -69◦03.9Sabik 102◦05.8 -15◦45.0

Shaula 96◦13.9 -37◦07.1Rasalhague 96◦00.9 12◦32.8

Etamin 90◦43.0 51◦29.2Kaus Aust. 83◦35.9 -34◦22.4

Vega 80◦34.8 38◦48.1Nunki 75◦51.0 -26◦16.1Altair 62◦02.6 8◦55.4

Peacock 53◦09.9 -56◦39.8Deneb 49◦27.4 45◦21.2

Enif 33◦41.5 9◦58.3Alnair 27◦36.4 -46◦51.2

Fomalhaut 15◦17.7 -29◦30.4Scheat 13◦48.0 28◦11.7Markab 13◦32.7 15◦19.1

2021/6/1 SHA Mer.passVenus 249◦23.3 13:37Mars 233◦23.1 14:40

Jupiter 25◦29.6 04:31Saturn 44◦19.8 03:16

2021/6/1 SHA Mer.passVenus 248◦04.4 13:39Mars 232◦44.8 14:38

Jupiter 25◦29.1 04:28Saturn 44◦22.1 03:12

2021/6/2 SHA Mer.passVenus 246◦45.7 13:40Mars 232◦06.5 14:37

Jupiter 25◦28.8 04:24Saturn 44◦24.6 03:08

Horizontal paralaxVenus: 0.1Mars: 0.1

114

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2021 June 18 to Jun. 20

h Sun MoonFri GHA Dec GHA ν Dec d HP0 179◦43.6 23◦24.2 89◦04.0 12.5 6◦42.1 -14.2 58.01 194◦43.5 23◦24.3 103◦35.5 12.5 6◦27.8 -14.3 58.12 209◦43.3 23◦24.3 118◦07.0 12.5 6◦13.5 -14.3 58.13 224◦43.2 23◦24.4 132◦38.4 12.5 5◦59.2 -14.4 58.14 239◦43.0 23◦24.4 147◦09.9 12.5 5◦44.8 -14.4 58.25 254◦42.9 23◦24.5 161◦41.3 12.5 5◦30.4 -14.5 58.26 269◦42.8 23◦24.5 176◦12.8 12.4 5◦15.9 -14.5 58.27 284◦42.6 23◦24.6 190◦44.2 12.4 5◦01.4 -14.5 58.28 299◦42.5 23◦24.6 205◦15.7 12.4 4◦46.8 -14.6 58.39 314◦42.4 23◦24.7 219◦47.1 12.4 4◦32.3 -14.6 58.310 329◦42.2 23◦24.7 234◦18.5 12.4 4◦17.6 -14.6 58.311 344◦42.1 23◦24.8 248◦49.9 12.4 4◦03.0 -14.7 58.412 359◦42.0 23◦24.8 263◦21.2 12.4 3◦48.3 -14.7 58.413 14◦41.8 23◦24.8 277◦52.6 12.3 3◦33.5 -14.8 58.414 29◦41.7 23◦24.9 292◦23.9 12.3 3◦18.7 -14.8 58.515 44◦41.6 23◦24.9 306◦55.2 12.3 3◦03.9 -14.8 58.516 59◦41.4 23◦25.0 321◦26.5 12.3 2◦49.1 -14.9 58.517 74◦41.3 23◦25.0 335◦57.8 12.3 2◦34.2 -14.9 58.618 89◦41.1 23◦25.1 350◦29.1 12.2 2◦19.3 -14.9 58.619 104◦41.0 23◦25.1 5◦00.3 12.2 2◦04.4 -14.9 58.620 119◦40.9 23◦25.1 19◦31.5 12.2 1◦49.5 -15.0 58.721 134◦40.7 23◦25.2 34◦02.7 12.2 1◦34.5 -15.0 58.722 149◦40.6 23◦25.2 48◦33.9 12.1 1◦19.5 -15.0 58.723 164◦40.5 23◦25.3 63◦05.0 12.1 1◦04.5 -15.0 58.8

SD.=15.7 d=0.1 S.D.=15.8

Sat GHA Dec GHA ν Dec d HP0 179◦40.3 23◦25.3 77◦36.1 12.1 0◦49.4 -15.1 58.81 194◦40.2 23◦25.3 92◦07.2 12.1 0◦34.4 -15.1 58.82 209◦40.1 23◦25.4 106◦38.2 12.0 0◦19.3 -15.1 58.83 224◦39.9 23◦25.4 121◦09.2 12.0 0◦04.2 -15.1 58.94 239◦39.8 23◦25.4 135◦40.2 12.0 -0◦10.9 -15.1 58.95 254◦39.6 23◦25.5 150◦11.1 11.9 -0◦26.1 -15.1 58.96 269◦39.5 23◦25.5 164◦42.0 11.9 -0◦41.2 -15.2 59.07 284◦39.4 23◦25.5 179◦12.9 11.8 -0◦56.4 -15.2 59.08 299◦39.2 23◦25.6 193◦43.7 11.8 -1◦11.6 -15.2 59.09 314◦39.1 23◦25.6 208◦14.5 11.8 -1◦26.7 -15.2 59.110 329◦39.0 23◦25.6 222◦45.2 11.7 -1◦41.9 -15.2 59.111 344◦38.8 23◦25.7 237◦15.9 11.7 -1◦57.1 -15.2 59.112 359◦38.7 23◦25.7 251◦46.6 11.6 -2◦12.3 -15.2 59.213 14◦38.6 23◦25.7 266◦17.2 11.6 -2◦27.6 -15.2 59.214 29◦38.4 23◦25.7 280◦47.8 11.5 -2◦42.8 -15.2 59.215 44◦38.3 23◦25.8 295◦18.3 11.5 -2◦58.0 -15.2 59.216 59◦38.2 23◦25.8 309◦48.7 11.4 -3◦13.2 -15.2 59.317 74◦38.0 23◦25.8 324◦19.2 11.4 -3◦28.4 -15.2 59.318 89◦37.9 23◦25.8 338◦49.5 11.3 -3◦43.6 -15.2 59.319 104◦37.7 23◦25.9 353◦19.8 11.3 -3◦58.8 -15.2 59.420 119◦37.6 23◦25.9 7◦50.1 11.2 -4◦14.1 -15.2 59.421 134◦37.5 23◦25.9 22◦20.3 11.2 -4◦29.3 -15.2 59.422 149◦37.3 23◦25.9 36◦50.4 11.1 -4◦44.4 -15.2 59.523 164◦37.2 23◦26.0 51◦20.5 11.1 -4◦59.6 -15.2 59.5

SD.=15.7 d=0.0 S.D.=16.0

Sun GHA Dec GHA ν Dec d HP0 179◦37.1 23◦26.0 65◦50.6 11.0 -5◦14.8 -15.2 59.51 194◦36.9 23◦26.0 80◦20.5 10.9 -5◦30.0 -15.2 59.52 209◦36.8 23◦26.0 94◦50.5 10.9 -5◦45.1 -15.1 59.63 224◦36.7 23◦26.0 109◦20.3 10.8 -6◦00.2 -15.1 59.64 239◦36.5 23◦26.0 123◦50.1 10.8 -6◦15.4 -15.1 59.65 254◦36.4 23◦26.1 138◦19.8 10.7 -6◦30.5 -15.1 59.76 269◦36.3 23◦26.1 152◦49.5 10.6 -6◦45.5 -15.1 59.77 284◦36.1 23◦26.1 167◦19.1 10.6 -7◦00.6 -15.0 59.78 299◦36.0 23◦26.1 181◦48.6 10.5 -7◦15.6 -15.0 59.79 314◦35.8 23◦26.1 196◦18.0 10.4 -7◦30.6 -15.0 59.810 329◦35.7 23◦26.1 210◦47.4 10.3 -7◦45.6 -15.0 59.811 344◦35.6 23◦26.1 225◦16.7 10.3 -8◦00.5 -14.9 59.812 359◦35.4 23◦26.2 239◦46.0 10.2 -8◦15.5 -14.9 59.913 14◦35.3 23◦26.2 254◦15.1 10.1 -8◦30.4 -14.9 59.914 29◦35.2 23◦26.2 268◦44.2 10.1 -8◦45.2 -14.8 59.915 44◦35.0 23◦26.2 283◦13.2 10.0 -9◦00.0 -14.8 59.916 59◦34.9 23◦26.2 297◦42.2 9.9 -9◦14.8 -14.8 60.017 74◦34.8 23◦26.2 312◦11.0 9.8 -9◦29.6 -14.7 60.018 89◦34.6 23◦26.2 326◦39.8 9.7 -9◦44.3 -14.7 60.019 104◦34.5 23◦26.2 341◦08.5 9.7 -9◦58.9 -14.6 60.020 119◦34.4 23◦26.2 355◦37.1 9.6 -10◦13.6 -14.6 60.121 134◦34.2 23◦26.2 10◦05.6 9.5 -10◦28.1 -14.6 60.122 149◦34.1 23◦26.2 24◦34.1 9.4 -10◦42.7 -14.5 60.123 164◦33.9 23◦26.2 39◦02.5 9.3 -10◦57.1 -14.5 60.1

SD.=15.7 d=0.0 S.D.=16.2

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 –:– –:– –:– –:– –:– –:–70 –:– –:– –:– –:– –:– –:–68 –:– –:– –:– –:– –:– –:–66 –:– –:– –:– –:– –:– –:–64 –:– –:– 01:31 22:32 –:– –:–62 –:– –:– 02:09 21:54 –:– –:–60 –:– 00:49 02:36 21:27 23:14 –:–58 –:– 01:40 02:56 21:07 22:23 –:–56 –:– 02:10 03:13 20:50 21:53 –:–54 00:45 02:33 03:27 20:36 21:30 23:1852 01:32 02:51 03:40 20:23 21:12 22:3150 02:00 03:06 03:50 20:12 20:57 22:0345 02:46 03:36 04:13 19:50 20:27 21:1740 03:16 03:58 04:31 19:32 20:05 20:4735 03:40 04:16 04:46 19:17 19:47 20:2330 03:58 04:32 04:59 19:04 19:31 20:0520 04:27 04:57 05:21 18:42 19:06 19:3610 04:50 05:17 05:40 18:23 18:46 19:130 05:09 05:35 05:58 18:05 18:28 18:54-10 05:26 05:52 06:15 17:48 18:10 18:37-20 05:42 06:10 06:34 17:29 17:53 18:21-30 05:59 06:29 06:55 17:08 17:34 18:04-35 06:08 06:39 07:07 16:55 17:24 17:55-40 06:17 06:51 07:22 16:41 17:12 17:46-45 06:27 07:05 07:38 16:24 16:58 17:36-50 06:39 07:21 07:59 16:04 16:42 17:24-52 06:44 07:28 08:09 15:54 16:35 17:18-54 06:50 07:36 08:20 15:43 16:26 17:13-56 06:56 07:45 08:33 15:30 16:17 17:07-58 07:03 07:56 08:48 15:15 16:07 16:60-60 07:11 08:07 09:05 14:58 15:55 16:52

Moonrise MoonsetLat. Fri Sat Sun Fri Sat Sun72 11:39 13:52 16:13 01:25 00:57 00:2870 11:45 13:47 15:57 01:16 00:56 00:3668 11:49 13:44 15:45 01:09 00:56 00:4266 11:53 13:41 15:35 01:03 00:55 00:4764 11:56 13:39 15:26 00:58 00:55 00:5262 11:59 13:37 15:19 00:54 00:55 00:5660 12:01 13:35 15:13 00:50 00:54 00:5958 12:03 13:34 15:08 00:46 00:54 01:0256 12:05 13:32 15:03 00:43 00:54 01:0554 12:07 13:31 14:59 00:40 00:54 01:0752 12:08 13:30 14:55 00:38 00:53 01:0950 12:10 13:29 14:51 00:36 00:53 01:1145 12:13 13:27 14:44 00:30 00:53 01:1640 12:15 13:25 14:37 00:26 00:53 01:2035 12:17 13:24 14:32 00:22 00:52 01:2330 12:19 13:22 14:27 00:19 00:52 01:2620 12:22 13:20 14:19 00:13 00:52 01:3110 12:25 13:18 14:12 00:08 00:51 01:350 12:28 13:16 14:06 00:03 00:51 01:39-10 12:31 13:14 13:59 –:– 00:50 01:43-20 12:34 13:12 13:53 –:– 00:50 01:48-30 12:37 13:10 13:45 –:– 00:49 01:53-35 12:39 13:09 13:41 –:– 00:49 01:56-40 12:41 13:08 13:36 –:– 00:48 01:59-45 12:43 13:06 13:30 –:– 00:48 02:03-50 12:46 13:04 13:23 –:– 00:47 02:08-52 12:48 13:03 13:20 –:– 00:47 02:10-54 12:49 13:02 13:17 –:– 00:47 02:12-56 12:51 13:01 13:13 –:– 00:46 02:15-58 12:52 13:00 13:09 –:– 00:46 02:18-60 12:54 12:59 13:04 –:– 00:46 02:21

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower18 01:06 01:12 12:01 18:39 06:15 8(54%)19 01:19 01:25 12:01 19:27 07:03 9(65%)20 01:32 01:38 12:01 20:18 07:52 10(76%)

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June 21, 22 ,23 (Mon., Tue., Wed.)Aries Venus Mars Jupiter Saturn

Mon GHA GHA Dec GHA Dec GHA Dec GHA Dec0 269◦24.6 154◦51.8 23◦01.0 140◦52.9 20◦03.6 294◦53.3 -11◦35.8 313◦51.8 -17◦37.01 284◦27.1 169◦51.0 23◦00.5 155◦53.8 20◦03.2 309◦55.7 -11◦35.8 328◦54.3 -17◦37.12 299◦29.5 184◦50.2 23◦00.1 170◦54.7 20◦02.8 324◦58.2 -11◦35.8 343◦56.9 -17◦37.13 314◦32.0 199◦49.4 22◦59.6 185◦55.6 20◦02.5 340◦00.7 -11◦35.8 358◦59.5 -17◦37.14 329◦34.5 214◦48.6 22◦59.2 200◦56.4 20◦02.1 355◦03.1 -11◦35.8 14◦02.1 -17◦37.25 344◦36.9 229◦47.8 22◦58.7 215◦57.3 20◦01.7 10◦05.6 -11◦35.8 29◦04.6 -17◦37.26 359◦39.4 244◦47.0 22◦58.3 230◦58.2 20◦01.3 25◦08.1 -11◦35.8 44◦07.2 -17◦37.37 14◦41.9 259◦46.2 22◦57.8 245◦59.1 20◦00.9 40◦10.5 -11◦35.8 59◦09.8 -17◦37.38 29◦44.3 274◦45.4 22◦57.3 260◦59.9 20◦00.5 55◦13.0 -11◦35.9 74◦12.3 -17◦37.39 44◦46.8 289◦44.6 22◦56.9 276◦00.8 20◦00.1 70◦15.5 -11◦35.9 89◦14.9 -17◦37.410 59◦49.3 304◦43.8 22◦56.4 291◦01.7 19◦59.7 85◦17.9 -11◦35.9 104◦17.5 -17◦37.411 74◦51.7 319◦43.0 22◦56.0 306◦02.6 19◦59.3 100◦20.4 -11◦35.9 119◦20.1 -17◦37.412 89◦54.2 334◦42.2 22◦55.5 321◦03.4 19◦58.9 115◦22.9 -11◦35.9 134◦22.6 -17◦37.513 104◦56.7 349◦41.4 22◦55.0 336◦04.3 19◦58.5 130◦25.3 -11◦35.9 149◦25.2 -17◦37.514 119◦59.1 4◦40.6 22◦54.6 351◦05.2 19◦58.1 145◦27.8 -11◦35.9 164◦27.8 -17◦37.515 135◦01.6 19◦39.8 22◦54.1 6◦06.1 19◦57.7 160◦30.3 -11◦35.9 179◦30.4 -17◦37.616 150◦04.0 34◦39.1 22◦53.6 21◦06.9 19◦57.3 175◦32.7 -11◦36.0 194◦32.9 -17◦37.617 165◦06.5 49◦38.3 22◦53.1 36◦07.8 19◦56.9 190◦35.2 -11◦36.0 209◦35.5 -17◦37.718 180◦09.0 64◦37.5 22◦52.7 51◦08.7 19◦56.5 205◦37.7 -11◦36.0 224◦38.1 -17◦37.719 195◦11.4 79◦36.7 22◦52.2 66◦09.6 19◦56.1 220◦40.1 -11◦36.0 239◦40.7 -17◦37.720 210◦13.9 94◦35.9 22◦51.7 81◦10.5 19◦55.7 235◦42.6 -11◦36.0 254◦43.2 -17◦37.821 225◦16.4 109◦35.1 22◦51.3 96◦11.3 19◦55.3 250◦45.1 -11◦36.0 269◦45.8 -17◦37.822 240◦18.8 124◦34.3 22◦50.8 111◦12.2 19◦54.9 265◦47.5 -11◦36.0 284◦48.4 -17◦37.823 255◦21.3 139◦33.5 22◦50.3 126◦13.1 19◦54.5 280◦50.0 -11◦36.1 299◦51.0 -17◦37.9Mer.pass.:6:01: v-0.8 d-0.5 m-3.8 v0.9 d-0.4 m1.8 v2.5 d-0.0 m-2.4 v2.6 d-0.0 m0.4

Tue GHA GHA Dec GHA Dec GHA Dec GHA Dec0 270◦23.8 154◦32.7 22◦49.8 141◦14.0 19◦54.1 295◦52.5 -11◦36.1 314◦53.5 -17◦37.91 285◦26.2 169◦31.9 22◦49.3 156◦14.8 19◦53.7 310◦54.9 -11◦36.1 329◦56.1 -17◦38.02 300◦28.7 184◦31.1 22◦48.9 171◦15.7 19◦53.3 325◦57.4 -11◦36.1 344◦58.7 -17◦38.03 315◦31.2 199◦30.3 22◦48.4 186◦16.6 19◦52.9 340◦59.9 -11◦36.1 0◦01.3 -17◦38.04 330◦33.6 214◦29.6 22◦47.9 201◦17.5 19◦52.5 356◦02.4 -11◦36.1 15◦03.8 -17◦38.15 345◦36.1 229◦28.8 22◦47.4 216◦18.3 19◦52.1 11◦04.8 -11◦36.1 30◦06.4 -17◦38.16 0◦38.5 244◦28.0 22◦46.9 231◦19.2 19◦51.7 26◦07.3 -11◦36.2 45◦09.0 -17◦38.17 15◦41.0 259◦27.2 22◦46.4 246◦20.1 19◦51.3 41◦09.8 -11◦36.2 60◦11.6 -17◦38.28 30◦43.5 274◦26.4 22◦46.0 261◦21.0 19◦50.9 56◦12.2 -11◦36.2 75◦14.1 -17◦38.29 45◦45.9 289◦25.6 22◦45.5 276◦21.9 19◦50.5 71◦14.7 -11◦36.2 90◦16.7 -17◦38.310 60◦48.4 304◦24.8 22◦45.0 291◦22.7 19◦50.1 86◦17.2 -11◦36.2 105◦19.3 -17◦38.311 75◦50.9 319◦24.0 22◦44.5 306◦23.6 19◦49.7 101◦19.7 -11◦36.2 120◦21.9 -17◦38.312 90◦53.3 334◦23.3 22◦44.0 321◦24.5 19◦49.3 116◦22.1 -11◦36.3 135◦24.4 -17◦38.413 105◦55.8 349◦22.5 22◦43.5 336◦25.4 19◦48.9 131◦24.6 -11◦36.3 150◦27.0 -17◦38.414 120◦58.3 4◦21.7 22◦43.0 351◦26.3 19◦48.5 146◦27.1 -11◦36.3 165◦29.6 -17◦38.415 136◦00.7 19◦20.9 22◦42.5 6◦27.1 19◦48.1 161◦29.6 -11◦36.3 180◦32.2 -17◦38.516 151◦03.2 34◦20.1 22◦42.0 21◦28.0 19◦47.7 176◦32.0 -11◦36.3 195◦34.8 -17◦38.517 166◦05.6 49◦19.3 22◦41.5 36◦28.9 19◦47.3 191◦34.5 -11◦36.3 210◦37.3 -17◦38.618 181◦08.1 64◦18.6 22◦41.0 51◦29.8 19◦46.9 206◦37.0 -11◦36.4 225◦39.9 -17◦38.619 196◦10.6 79◦17.8 22◦40.5 66◦30.6 19◦46.5 221◦39.5 -11◦36.4 240◦42.5 -17◦38.620 211◦13.0 94◦17.0 22◦40.0 81◦31.5 19◦46.1 236◦41.9 -11◦36.4 255◦45.1 -17◦38.721 226◦15.5 109◦16.2 22◦39.5 96◦32.4 19◦45.7 251◦44.4 -11◦36.4 270◦47.6 -17◦38.722 241◦18.0 124◦15.4 22◦39.0 111◦33.3 19◦45.3 266◦46.9 -11◦36.4 285◦50.2 -17◦38.723 256◦20.4 139◦14.6 22◦38.5 126◦34.2 19◦44.9 281◦49.4 -11◦36.4 300◦52.8 -17◦38.8Mer.pass.:5:57: v-0.8 d-0.5 m-3.8 v0.9 d-0.4 m1.8 v2.5 d-0.0 m-2.4 v2.6 d-0.0 m0.4

Wed GHA GHA Dec GHA Dec GHA Dec GHA Dec0 271◦22.9 154◦13.9 22◦38.0 141◦35.0 19◦44.5 296◦51.9 -11◦36.5 315◦55.4 -17◦38.81 286◦25.4 169◦13.1 22◦37.5 156◦35.9 19◦44.1 311◦54.3 -11◦36.5 330◦58.0 -17◦38.92 301◦27.8 184◦12.3 22◦37.0 171◦36.8 19◦43.7 326◦56.8 -11◦36.5 346◦00.5 -17◦38.93 316◦30.3 199◦11.5 22◦36.5 186◦37.7 19◦43.3 341◦59.3 -11◦36.5 1◦03.1 -17◦38.94 331◦32.8 214◦10.8 22◦36.0 201◦38.6 19◦42.9 357◦01.8 -11◦36.5 16◦05.7 -17◦39.05 346◦35.2 229◦10.0 22◦35.5 216◦39.4 19◦42.5 12◦04.2 -11◦36.6 31◦08.3 -17◦39.06 1◦37.7 244◦09.2 22◦35.0 231◦40.3 19◦42.1 27◦06.7 -11◦36.6 46◦10.8 -17◦39.07 16◦40.1 259◦08.4 22◦34.5 246◦41.2 19◦41.7 42◦09.2 -11◦36.6 61◦13.4 -17◦39.18 31◦42.6 274◦07.6 22◦33.9 261◦42.1 19◦41.3 57◦11.7 -11◦36.6 76◦16.0 -17◦39.19 46◦45.1 289◦06.9 22◦33.4 276◦43.0 19◦40.9 72◦14.2 -11◦36.6 91◦18.6 -17◦39.210 61◦47.5 304◦06.1 22◦32.9 291◦43.8 19◦40.5 87◦16.6 -11◦36.6 106◦21.2 -17◦39.211 76◦50.0 319◦05.3 22◦32.4 306◦44.7 19◦40.1 102◦19.1 -11◦36.7 121◦23.7 -17◦39.212 91◦52.5 334◦04.5 22◦31.9 321◦45.6 19◦39.7 117◦21.6 -11◦36.7 136◦26.3 -17◦39.313 106◦54.9 349◦03.8 22◦31.4 336◦46.5 19◦39.3 132◦24.1 -11◦36.7 151◦28.9 -17◦39.314 121◦57.4 4◦03.0 22◦30.8 351◦47.4 19◦38.8 147◦26.6 -11◦36.7 166◦31.5 -17◦39.415 136◦59.9 19◦02.2 22◦30.3 6◦48.3 19◦38.4 162◦29.1 -11◦36.7 181◦34.1 -17◦39.416 152◦02.3 34◦01.4 22◦29.8 21◦49.1 19◦38.0 177◦31.5 -11◦36.8 196◦36.6 -17◦39.417 167◦04.8 49◦00.7 22◦29.3 36◦50.0 19◦37.6 192◦34.0 -11◦36.8 211◦39.2 -17◦39.518 182◦07.3 63◦59.9 22◦28.7 51◦50.9 19◦37.2 207◦36.5 -11◦36.8 226◦41.8 -17◦39.519 197◦09.7 78◦59.1 22◦28.2 66◦51.8 19◦36.8 222◦39.0 -11◦36.8 241◦44.4 -17◦39.520 212◦12.2 93◦58.4 22◦27.7 81◦52.7 19◦36.4 237◦41.5 -11◦36.8 256◦47.0 -17◦39.621 227◦14.6 108◦57.6 22◦27.2 96◦53.5 19◦36.0 252◦44.0 -11◦36.9 271◦49.6 -17◦39.622 242◦17.1 123◦56.8 22◦26.6 111◦54.4 19◦35.6 267◦46.4 -11◦36.9 286◦52.1 -17◦39.723 257◦19.6 138◦56.1 22◦26.1 126◦55.3 19◦35.2 282◦48.9 -11◦36.9 301◦54.7 -17◦39.7Mer.pass.:5:53: v-0.8 d-0.5 m-3.8 v0.9 d-0.4 m1.8 v2.5 d-0.0 m-2.4 v2.6 d-0.0 m0.4

StarsSHA Dec

Alpheratz 357◦37.8 29◦12.3Ankaa 353◦10.1 -42◦11.2

Schedar 349◦34.4 56◦38.9Diphda 348◦50.2 -17◦52.1

Achernar 335◦22.7 -57◦07.5Hamal 327◦54.7 23◦33.6Polaris 315◦42.9 89◦20.9Akamar 315◦14.3 -40◦13.1Menkar 314◦09.4 4◦10.3Mirfak 308◦32.8 49◦56.0

Aldebaran 290◦43.3 16◦33.0Rigel 281◦07.0 -8◦10.7

Capella 280◦26.7 46◦01.1Bellatrix 278◦26.3 6◦22.1Elnath 278◦05.9 28◦37.4Alnilam 275◦41.0 -1◦11.4

Betelgeuse 270◦55.6 7◦24.6Canopus 263◦54.2 -52◦42.5

Sirius 258◦29.1 -16◦44.6Adara 255◦08.5 -29◦00.1

Procyon 244◦54.1 5◦10.4Pollux 243◦21.1 27◦58.5Avior 234◦16.4 -59◦34.8Suhail 222◦48.7 -43◦31.3

Miaplacidus 221◦39.4 -69◦48.5Alphard 217◦50.8 -8◦45.1Regulus 207◦37.7 11◦51.9Dubhe 193◦44.8 61◦38.5

Denebola 182◦27.9 14◦27.3Gienah 175◦46.5 -17◦39.7Acrux 173◦03.1 -63◦13.3

Gacrux 171◦54.7 -57◦14.2Alioth 166◦15.5 55◦51.0Spica 158◦25.2 -11◦16.3Alcaid 152◦54.1 49◦12.7Hadar 148◦39.7 -60◦28.7

Menkent 148◦00.8 -36◦28.6Arcturus 145◦50.2 19◦04.7

Rigil Kent. 139◦43.8 -60◦55.5Zubenelg. 136◦59.0 -16◦07.8Kochab 137◦19.1 74◦04.4

Alphecca 126◦05.9 26◦38.7Antares 112◦19.0 -26◦28.7

Atria 107◦15.3 -69◦03.9Sabik 102◦05.8 -15◦45.0

Shaula 96◦13.9 -37◦07.1Rasalhague 96◦00.9 12◦32.8

Etamin 90◦43.0 51◦29.2Kaus Aust. 83◦35.9 -34◦22.4

Vega 80◦34.8 38◦48.2Nunki 75◦51.0 -26◦16.1Altair 62◦02.5 8◦55.4

Peacock 53◦09.8 -56◦39.8Deneb 49◦27.4 45◦21.2

Enif 33◦41.5 9◦58.3Alnair 27◦36.4 -46◦51.2

Fomalhaut 15◦17.7 -29◦30.4Scheat 13◦47.9 28◦11.7Markab 13◦32.7 15◦19.1

2021/6/2 SHA Mer.passVenus 245◦27.2 13:41Mars 231◦28.3 14:36

Jupiter 25◦28.7 04:20Saturn 44◦27.1 03:04

2021/6/2 SHA Mer.passVenus 244◦09.0 13:43Mars 230◦50.2 14:34

Jupiter 25◦28.7 04:16Saturn 44◦29.8 02:60

2021/6/2 SHA Mer.passVenus 242◦51.0 13:44Mars 230◦12.1 14:33

Jupiter 25◦29.0 04:12Saturn 44◦32.5 02:56

Horizontal paralaxVenus: 0.1Mars: 0.1

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2021 June 21 to Jun. 23

h Sun MoonMon GHA Dec GHA ν Dec d HP0 179◦33.8 23◦26.2 53◦30.7 9.2 -11◦11.6 -14.4 60.21 194◦33.7 23◦26.2 67◦58.9 9.2 -11◦25.9 -14.3 60.22 209◦33.5 23◦26.2 82◦27.0 9.1 -11◦40.3 -14.3 60.23 224◦33.4 23◦26.2 96◦55.1 9.0 -11◦54.5 -14.2 60.24 239◦33.3 23◦26.2 111◦23.0 8.9 -12◦08.7 -14.2 60.35 254◦33.1 23◦26.2 125◦50.8 8.8 -12◦22.9 -14.1 60.36 269◦33.0 23◦26.2 140◦18.6 8.7 -12◦37.0 -14.1 60.37 284◦32.9 23◦26.2 154◦46.2 8.6 -12◦51.0 -14.0 60.38 299◦32.7 23◦26.2 169◦13.8 8.5 -13◦05.0 -13.9 60.39 314◦32.6 23◦26.2 183◦41.3 8.4 -13◦18.8 -13.9 60.410 329◦32.5 23◦26.2 198◦08.7 8.3 -13◦32.7 -13.8 60.411 344◦32.3 23◦26.2 212◦35.9 8.2 -13◦46.4 -13.7 60.412 359◦32.2 23◦26.2 227◦03.1 8.1 -14◦00.1 -13.6 60.413 14◦32.1 23◦26.2 241◦30.2 8.0 -14◦13.7 -13.6 60.414 29◦31.9 23◦26.2 255◦57.2 7.9 -14◦27.2 -13.5 60.515 44◦31.8 23◦26.2 270◦24.1 7.9 -14◦40.7 -13.4 60.516 59◦31.7 23◦26.2 284◦50.9 7.8 -14◦54.0 -13.3 60.517 74◦31.5 23◦26.2 299◦17.6 7.7 -15◦07.3 -13.2 60.518 89◦31.4 23◦26.2 313◦44.2 7.6 -15◦20.5 -13.2 60.519 104◦31.2 23◦26.2 328◦10.7 7.5 -15◦33.6 -13.1 60.620 119◦31.1 23◦26.1 342◦37.1 7.4 -15◦46.6 -13.0 60.621 134◦31.0 23◦26.1 357◦03.4 7.3 -15◦59.5 -12.9 60.622 149◦30.8 23◦26.1 11◦29.7 7.2 -16◦12.4 -12.8 60.623 164◦30.7 23◦26.1 25◦55.8 7.1 -16◦25.1 -12.7 60.6

SD.=15.7 d=0.0 S.D.=16.4

Tue GHA Dec GHA ν Dec d HP0 179◦30.6 23◦26.1 40◦21.8 7.0 -16◦37.7 -12.6 60.61 194◦30.4 23◦26.1 54◦47.7 6.9 -16◦50.3 -12.5 60.72 209◦30.3 23◦26.1 69◦13.5 6.8 -17◦02.7 -12.4 60.73 224◦30.2 23◦26.0 83◦39.2 6.6 -17◦15.1 -12.3 60.74 239◦30.0 23◦26.0 98◦04.8 6.5 -17◦27.3 -12.2 60.75 254◦29.9 23◦26.0 112◦30.3 6.4 -17◦39.4 -12.1 60.76 269◦29.8 23◦26.0 126◦55.7 6.3 -17◦51.4 -12.0 60.77 284◦29.6 23◦26.0 141◦20.9 6.2 -18◦03.3 -11.8 60.78 299◦29.5 23◦26.0 155◦46.1 6.1 -18◦15.1 -11.7 60.89 314◦29.4 23◦25.9 170◦11.2 6.0 -18◦26.8 -11.6 60.810 329◦29.2 23◦25.9 184◦36.2 5.9 -18◦38.4 -11.5 60.811 344◦29.1 23◦25.9 199◦01.1 5.8 -18◦49.8 -11.4 60.812 359◦29.0 23◦25.9 213◦25.9 5.7 -19◦01.1 -11.3 60.813 14◦28.8 23◦25.8 227◦50.6 5.6 -19◦12.3 -11.1 60.814 29◦28.7 23◦25.8 242◦15.2 5.5 -19◦23.4 -11.0 60.815 44◦28.6 23◦25.8 256◦39.7 5.4 -19◦34.3 -10.9 60.816 59◦28.4 23◦25.8 271◦04.0 5.3 -19◦45.2 -10.7 60.817 74◦28.3 23◦25.7 285◦28.3 5.2 -19◦55.8 -10.6 60.818 89◦28.2 23◦25.7 299◦52.5 5.1 -20◦06.4 -10.5 60.919 104◦28.0 23◦25.7 314◦16.6 5.0 -20◦16.8 -10.3 60.920 119◦27.9 23◦25.7 328◦40.6 4.9 -20◦27.1 -10.2 60.921 134◦27.7 23◦25.6 343◦04.5 4.9 -20◦37.2 -10.1 60.922 149◦27.6 23◦25.6 357◦28.3 4.8 -20◦47.2 -9.9 60.923 164◦27.5 23◦25.6 11◦52.0 4.7 -20◦57.1 -9.8 60.9

SD.=15.7 d=-0.0 S.D.=16.5

Wed GHA Dec GHA ν Dec d HP0 179◦27.3 23◦25.5 26◦15.6 4.6 -21◦06.8 -9.6 60.91 194◦27.2 23◦25.5 40◦39.2 4.5 -21◦16.4 -9.5 60.92 209◦27.1 23◦25.5 55◦02.6 4.4 -21◦25.8 -9.3 60.93 224◦26.9 23◦25.4 69◦25.9 4.3 -21◦35.1 -9.2 60.94 239◦26.8 23◦25.4 83◦49.2 4.2 -21◦44.2 -9.0 60.95 254◦26.7 23◦25.4 98◦12.4 4.1 -21◦53.2 -8.9 60.96 269◦26.5 23◦25.3 112◦35.4 4.0 -22◦02.0 -8.7 60.97 284◦26.4 23◦25.3 126◦58.4 4.0 -22◦10.6 -8.6 60.98 299◦26.3 23◦25.3 141◦21.3 3.9 -22◦19.1 -8.4 60.99 314◦26.1 23◦25.2 155◦44.2 3.8 -22◦27.5 -8.3 60.910 329◦26.0 23◦25.2 170◦06.9 3.7 -22◦35.6 -8.1 60.911 344◦25.9 23◦25.1 184◦29.6 3.6 -22◦43.6 -7.9 60.912 359◦25.7 23◦25.1 198◦52.2 3.5 -22◦51.5 -7.8 60.913 14◦25.6 23◦25.1 213◦14.7 3.5 -22◦59.2 -7.6 60.914 29◦25.5 23◦25.0 227◦37.1 3.4 -23◦06.7 -7.4 60.915 44◦25.3 23◦25.0 241◦59.5 3.3 -23◦14.0 -7.3 60.916 59◦25.2 23◦24.9 256◦21.8 3.3 -23◦21.2 -7.1 60.917 74◦25.1 23◦24.9 270◦44.0 3.2 -23◦28.2 -6.9 60.918 89◦24.9 23◦24.8 285◦06.1 3.1 -23◦35.0 -6.7 60.919 104◦24.8 23◦24.8 299◦28.2 3.1 -23◦41.7 -6.6 60.920 119◦24.7 23◦24.7 313◦50.3 3.0 -23◦48.2 -6.4 60.921 134◦24.5 23◦24.7 328◦12.2 2.9 -23◦54.5 -6.2 60.922 149◦24.4 23◦24.7 342◦34.1 2.9 -24◦00.6 -6.0 60.923 164◦24.3 23◦24.6 356◦56.0 2.8 -24◦06.6 -5.9 60.9

SD.=15.7 d=-0.0 S.D.=16.6

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 –:– –:– –:– –:– –:– –:–70 –:– –:– –:– –:– –:– –:–68 –:– –:– –:– –:– –:– –:–66 –:– –:– –:– –:– –:– –:–64 –:– –:– 01:32 22:32 –:– –:–62 –:– –:– 02:10 21:54 –:– –:–60 –:– 00:50 02:36 21:28 23:14 –:–58 –:– 01:41 02:57 21:07 22:23 –:–56 –:– 02:11 03:13 20:51 21:53 –:–54 00:45 02:33 03:28 20:36 21:31 23:1852 01:33 02:51 03:40 20:24 21:13 22:3150 02:01 03:06 03:51 20:13 20:58 22:0345 02:46 03:36 04:14 19:51 20:28 21:1840 03:17 03:59 04:32 19:32 20:05 20:4735 03:40 04:17 04:47 19:17 19:47 20:2430 03:59 04:32 04:60 19:04 19:32 20:0520 04:28 04:57 05:22 18:42 19:07 19:3610 04:51 05:18 05:41 18:23 18:46 19:140 05:10 05:36 05:58 18:06 18:28 18:55-10 05:27 05:53 06:16 17:48 18:11 18:37-20 05:43 06:10 06:34 17:30 17:54 18:21-30 05:59 06:29 06:56 17:08 17:35 18:05-35 06:08 06:40 07:08 16:56 17:24 17:56-40 06:18 06:52 07:22 16:42 17:12 17:47-45 06:28 07:05 07:39 16:25 16:59 17:36-50 06:40 07:21 07:60 16:04 16:43 17:24-52 06:45 07:29 08:10 15:54 16:35 17:19-54 06:51 07:37 08:21 15:43 16:27 17:13-56 06:57 07:46 08:34 15:30 16:18 17:07-58 07:04 07:56 08:48 15:16 16:08 17:00-60 07:11 08:08 09:06 14:58 15:56 16:53

Moonrise MoonsetLat. Mon Tue Wed Mon Tue Wed72 19:09 –:– –:– 22:51 –:– –:–70 18:27 –:– –:– 00:12 –:– –:–68 17:58 20:46 –:– 00:26 00:05 –:–66 17:37 19:56 –:– 00:38 00:27 00:1164 17:21 19:24 21:36 00:48 00:45 00:4362 17:07 19:01 20:56 00:57 01:00 01:0760 16:56 18:43 20:28 01:05 01:13 01:2658 16:46 18:27 20:07 01:11 01:24 01:4256 16:37 18:14 19:49 01:17 01:33 01:5654 16:30 18:03 19:34 01:23 01:42 02:0852 16:23 17:53 19:21 01:27 01:49 02:1850 16:17 17:44 19:10 01:32 01:56 02:2845 16:04 17:26 18:47 01:41 02:11 02:4840 15:53 17:10 18:28 01:49 02:23 03:0435 15:44 16:58 18:12 01:56 02:34 03:1830 15:36 16:47 17:59 02:02 02:43 03:3020 15:22 16:28 17:36 02:13 02:59 03:5010 15:10 16:11 17:16 02:22 03:13 04:080 14:59 15:56 16:58 02:31 03:26 04:25-10 14:48 15:41 16:39 02:39 03:39 04:42-20 14:37 15:25 16:20 02:49 03:53 05:00-30 14:23 15:07 15:58 02:60 04:09 05:21-35 14:16 14:56 15:45 03:06 04:19 05:33-40 14:07 14:44 15:30 03:13 04:29 05:47-45 13:57 14:30 15:12 03:21 04:42 06:04-50 13:45 14:13 14:50 03:31 04:58 06:25-52 13:40 14:05 14:40 03:36 05:05 06:35-54 13:34 13:56 14:28 03:41 05:13 06:46-56 13:27 13:46 14:15 03:47 05:23 06:59-58 13:20 13:35 13:59 03:53 05:33 07:14-60 13:11 13:22 13:41 04:01 05:45 07:32

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower21 01:45 01:51 12:01 21:12 08:44 11(85%)22 01:58 02:04 12:02 22:10 09:40 12(92%)23 02:11 02:17 12:02 23:12 10:41 13(98%)

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June 24, 25 ,26 (Thu., Fri., Sat.)Aries Venus Mars Jupiter Saturn

Thu GHA GHA Dec GHA Dec GHA Dec GHA Dec0 272◦22.0 153◦55.3 22◦25.6 141◦56.2 19◦34.8 297◦51.4 -11◦36.9 316◦57.3 -17◦39.71 287◦24.5 168◦54.5 22◦25.0 156◦57.1 19◦34.4 312◦53.9 -11◦36.9 331◦59.9 -17◦39.82 302◦27.0 183◦53.7 22◦24.5 171◦58.0 19◦34.0 327◦56.4 -11◦37.0 347◦02.5 -17◦39.83 317◦29.4 198◦53.0 22◦24.0 186◦58.8 19◦33.5 342◦58.9 -11◦37.0 2◦05.0 -17◦39.94 332◦31.9 213◦52.2 22◦23.4 201◦59.7 19◦33.1 358◦01.4 -11◦37.0 17◦07.6 -17◦39.95 347◦34.4 228◦51.4 22◦22.9 217◦00.6 19◦32.7 13◦03.8 -11◦37.0 32◦10.2 -17◦39.96 2◦36.8 243◦50.7 22◦22.4 232◦01.5 19◦32.3 28◦06.3 -11◦37.0 47◦12.8 -17◦40.07 17◦39.3 258◦49.9 22◦21.8 247◦02.4 19◦31.9 43◦08.8 -11◦37.1 62◦15.4 -17◦40.08 32◦41.8 273◦49.1 22◦21.3 262◦03.3 19◦31.5 58◦11.3 -11◦37.1 77◦18.0 -17◦40.19 47◦44.2 288◦48.4 22◦20.7 277◦04.1 19◦31.1 73◦13.8 -11◦37.1 92◦20.5 -17◦40.110 62◦46.7 303◦47.6 22◦20.2 292◦05.0 19◦30.7 88◦16.3 -11◦37.1 107◦23.1 -17◦40.111 77◦49.1 318◦46.9 22◦19.6 307◦05.9 19◦30.3 103◦18.8 -11◦37.2 122◦25.7 -17◦40.212 92◦51.6 333◦46.1 22◦19.1 322◦06.8 19◦29.8 118◦21.3 -11◦37.2 137◦28.3 -17◦40.213 107◦54.1 348◦45.3 22◦18.6 337◦07.7 19◦29.4 133◦23.8 -11◦37.2 152◦30.9 -17◦40.214 122◦56.5 3◦44.6 22◦18.0 352◦08.6 19◦29.0 148◦26.2 -11◦37.2 167◦33.5 -17◦40.315 137◦59.0 18◦43.8 22◦17.5 7◦09.4 19◦28.6 163◦28.7 -11◦37.2 182◦36.0 -17◦40.316 153◦01.5 33◦43.0 22◦16.9 22◦10.3 19◦28.2 178◦31.2 -11◦37.3 197◦38.6 -17◦40.417 168◦03.9 48◦42.3 22◦16.4 37◦11.2 19◦27.8 193◦33.7 -11◦37.3 212◦41.2 -17◦40.418 183◦06.4 63◦41.5 22◦15.8 52◦12.1 19◦27.4 208◦36.2 -11◦37.3 227◦43.8 -17◦40.419 198◦08.9 78◦40.8 22◦15.3 67◦13.0 19◦27.0 223◦38.7 -11◦37.3 242◦46.4 -17◦40.520 213◦11.3 93◦40.0 22◦14.7 82◦13.9 19◦26.5 238◦41.2 -11◦37.4 257◦49.0 -17◦40.521 228◦13.8 108◦39.2 22◦14.1 97◦14.7 19◦26.1 253◦43.7 -11◦37.4 272◦51.5 -17◦40.622 243◦16.3 123◦38.5 22◦13.6 112◦15.6 19◦25.7 268◦46.2 -11◦37.4 287◦54.1 -17◦40.623 258◦18.7 138◦37.7 22◦13.0 127◦16.5 19◦25.3 283◦48.7 -11◦37.4 302◦56.7 -17◦40.6Mer.pass.:5:49: v-0.8 d-0.5 m-3.8 v0.9 d-0.4 m1.8 v2.5 d-0.0 m-2.5 v2.6 d-0.0 m0.4

Fri GHA GHA Dec GHA Dec GHA Dec GHA Dec0 273◦21.2 153◦37.0 22◦12.5 142◦17.4 19◦24.9 298◦51.2 -11◦37.4 317◦59.3 -17◦40.71 288◦23.6 168◦36.2 22◦11.9 157◦18.3 19◦24.5 313◦53.6 -11◦37.5 333◦01.9 -17◦40.72 303◦26.1 183◦35.5 22◦11.4 172◦19.2 19◦24.1 328◦56.1 -11◦37.5 348◦04.5 -17◦40.83 318◦28.6 198◦34.7 22◦10.8 187◦20.1 19◦23.6 343◦58.6 -11◦37.5 3◦07.0 -17◦40.84 333◦31.0 213◦33.9 22◦10.2 202◦20.9 19◦23.2 359◦01.1 -11◦37.5 18◦09.6 -17◦40.85 348◦33.5 228◦33.2 22◦09.7 217◦21.8 19◦22.8 14◦03.6 -11◦37.6 33◦12.2 -17◦40.96 3◦36.0 243◦32.4 22◦09.1 232◦22.7 19◦22.4 29◦06.1 -11◦37.6 48◦14.8 -17◦40.97 18◦38.4 258◦31.7 22◦08.5 247◦23.6 19◦22.0 44◦08.6 -11◦37.6 63◦17.4 -17◦41.08 33◦40.9 273◦30.9 22◦08.0 262◦24.5 19◦21.6 59◦11.1 -11◦37.6 78◦20.0 -17◦41.09 48◦43.4 288◦30.2 22◦07.4 277◦25.4 19◦21.2 74◦13.6 -11◦37.7 93◦22.6 -17◦41.010 63◦45.8 303◦29.4 22◦06.8 292◦26.3 19◦20.7 89◦16.1 -11◦37.7 108◦25.1 -17◦41.111 78◦48.3 318◦28.7 22◦06.3 307◦27.1 19◦20.3 104◦18.6 -11◦37.7 123◦27.7 -17◦41.112 93◦50.8 333◦27.9 22◦05.7 322◦28.0 19◦19.9 119◦21.1 -11◦37.7 138◦30.3 -17◦41.213 108◦53.2 348◦27.2 22◦05.1 337◦28.9 19◦19.5 134◦23.6 -11◦37.8 153◦32.9 -17◦41.214 123◦55.7 3◦26.4 22◦04.6 352◦29.8 19◦19.1 149◦26.1 -11◦37.8 168◦35.5 -17◦41.215 138◦58.1 18◦25.7 22◦04.0 7◦30.7 19◦18.7 164◦28.6 -11◦37.8 183◦38.1 -17◦41.316 154◦00.6 33◦24.9 22◦03.4 22◦31.6 19◦18.2 179◦31.1 -11◦37.8 198◦40.7 -17◦41.317 169◦03.1 48◦24.2 22◦02.8 37◦32.5 19◦17.8 194◦33.6 -11◦37.9 213◦43.3 -17◦41.418 184◦05.5 63◦23.4 22◦02.3 52◦33.4 19◦17.4 209◦36.1 -11◦37.9 228◦45.8 -17◦41.419 199◦08.0 78◦22.7 22◦01.7 67◦34.2 19◦17.0 224◦38.6 -11◦37.9 243◦48.4 -17◦41.420 214◦10.5 93◦21.9 22◦01.1 82◦35.1 19◦16.6 239◦41.1 -11◦37.9 258◦51.0 -17◦41.521 229◦12.9 108◦21.2 22◦00.5 97◦36.0 19◦16.1 254◦43.6 -11◦38.0 273◦53.6 -17◦41.522 244◦15.4 123◦20.4 21◦59.9 112◦36.9 19◦15.7 269◦46.1 -11◦38.0 288◦56.2 -17◦41.623 259◦17.9 138◦19.7 21◦59.3 127◦37.8 19◦15.3 284◦48.6 -11◦38.0 303◦58.8 -17◦41.6Mer.pass.:5:45: v-0.8 d-0.6 m-3.8 v0.9 d-0.4 m1.8 v2.5 d-0.0 m-2.5 v2.6 d-0.0 m0.4

Sat GHA GHA Dec GHA Dec GHA Dec GHA Dec0 274◦20.3 153◦18.9 21◦58.8 142◦38.7 19◦14.9 299◦51.1 -11◦38.0 319◦01.4 -17◦41.61 289◦22.8 168◦18.2 21◦58.2 157◦39.6 19◦14.5 314◦53.6 -11◦38.1 334◦04.0 -17◦41.72 304◦25.3 183◦17.4 21◦57.6 172◦40.5 19◦14.0 329◦56.1 -11◦38.1 349◦06.5 -17◦41.73 319◦27.7 198◦16.7 21◦57.0 187◦41.3 19◦13.6 344◦58.6 -11◦38.1 4◦09.1 -17◦41.84 334◦30.2 213◦16.0 21◦56.4 202◦42.2 19◦13.2 0◦01.1 -11◦38.1 19◦11.7 -17◦41.85 349◦32.6 228◦15.2 21◦55.8 217◦43.1 19◦12.8 15◦03.6 -11◦38.2 34◦14.3 -17◦41.86 4◦35.1 243◦14.5 21◦55.2 232◦44.0 19◦12.4 30◦06.1 -11◦38.2 49◦16.9 -17◦41.97 19◦37.6 258◦13.7 21◦54.6 247◦44.9 19◦11.9 45◦08.6 -11◦38.2 64◦19.5 -17◦41.98 34◦40.0 273◦13.0 21◦54.1 262◦45.8 19◦11.5 60◦11.1 -11◦38.2 79◦22.1 -17◦42.09 49◦42.5 288◦12.2 21◦53.5 277◦46.7 19◦11.1 75◦13.6 -11◦38.3 94◦24.7 -17◦42.010 64◦45.0 303◦11.5 21◦52.9 292◦47.6 19◦10.7 90◦16.1 -11◦38.3 109◦27.2 -17◦42.011 79◦47.4 318◦10.8 21◦52.3 307◦48.4 19◦10.3 105◦18.6 -11◦38.3 124◦29.8 -17◦42.112 94◦49.9 333◦10.0 21◦51.7 322◦49.3 19◦09.8 120◦21.1 -11◦38.4 139◦32.4 -17◦42.113 109◦52.4 348◦09.3 21◦51.1 337◦50.2 19◦09.4 135◦23.6 -11◦38.4 154◦35.0 -17◦42.214 124◦54.8 3◦08.5 21◦50.5 352◦51.1 19◦09.0 150◦26.1 -11◦38.4 169◦37.6 -17◦42.215 139◦57.3 18◦07.8 21◦49.9 7◦52.0 19◦08.6 165◦28.6 -11◦38.4 184◦40.2 -17◦42.316 154◦59.8 33◦07.1 21◦49.3 22◦52.9 19◦08.1 180◦31.1 -11◦38.5 199◦42.8 -17◦42.317 170◦02.2 48◦06.3 21◦48.7 37◦53.8 19◦07.7 195◦33.6 -11◦38.5 214◦45.4 -17◦42.318 185◦04.7 63◦05.6 21◦48.1 52◦54.7 19◦07.3 210◦36.1 -11◦38.5 229◦48.0 -17◦42.419 200◦07.1 78◦04.9 21◦47.5 67◦55.6 19◦06.9 225◦38.7 -11◦38.6 244◦50.6 -17◦42.420 215◦09.6 93◦04.1 21◦46.9 82◦56.5 19◦06.5 240◦41.2 -11◦38.6 259◦53.1 -17◦42.521 230◦12.1 108◦03.4 21◦46.3 97◦57.3 19◦06.0 255◦43.7 -11◦38.6 274◦55.7 -17◦42.522 245◦14.5 123◦02.7 21◦45.7 112◦58.2 19◦05.6 270◦46.2 -11◦38.6 289◦58.3 -17◦42.523 260◦17.0 138◦01.9 21◦45.0 127◦59.1 19◦05.2 285◦48.7 -11◦38.7 305◦00.9 -17◦42.6Mer.pass.:5:41: v-0.7 d-0.6 m-3.8 v0.9 d-0.4 m1.8 v2.5 d-0.0 m-2.5 v2.6 d-0.0 m0.4

StarsSHA Dec

Alpheratz 357◦37.7 29◦12.3Ankaa 353◦10.1 -42◦11.2

Schedar 349◦34.3 56◦38.9Diphda 348◦50.2 -17◦52.1

Achernar 335◦22.7 -57◦07.5Hamal 327◦54.6 23◦33.6Polaris 315◦41.4 89◦20.9Akamar 315◦14.3 -40◦13.0Menkar 314◦09.4 4◦10.3Mirfak 308◦32.8 49◦56.0

Aldebaran 290◦43.3 16◦33.0Rigel 281◦07.0 -8◦10.7

Capella 280◦26.7 46◦01.1Bellatrix 278◦26.3 6◦22.1Elnath 278◦05.9 28◦37.4Alnilam 275◦41.0 -1◦11.3

Betelgeuse 270◦55.6 7◦24.6Canopus 263◦54.2 -52◦42.5

Sirius 258◦29.0 -16◦44.6Adara 255◦08.5 -29◦00.1

Procyon 244◦54.1 5◦10.4Pollux 243◦21.1 27◦58.5Avior 234◦16.4 -59◦34.8Suhail 222◦48.7 -43◦31.3

Miaplacidus 221◦39.5 -69◦48.5Alphard 217◦50.8 -8◦45.1Regulus 207◦37.7 11◦51.9Dubhe 193◦44.9 61◦38.5

Denebola 182◦27.9 14◦27.3Gienah 175◦46.5 -17◦39.7Acrux 173◦03.2 -63◦13.3

Gacrux 171◦54.7 -57◦14.2Alioth 166◦15.5 55◦51.0Spica 158◦25.2 -11◦16.3Alcaid 152◦54.1 49◦12.7Hadar 148◦39.7 -60◦28.7

Menkent 148◦00.8 -36◦28.6Arcturus 145◦50.2 19◦04.7

Rigil Kent. 139◦43.8 -60◦55.5Zubenelg. 136◦59.0 -16◦07.8Kochab 137◦19.1 74◦04.4

Alphecca 126◦05.9 26◦38.8Antares 112◦19.0 -26◦28.7

Atria 107◦15.3 -69◦04.0Sabik 102◦05.7 -15◦45.0

Shaula 96◦13.9 -37◦07.1Rasalhague 96◦00.9 12◦32.8

Etamin 90◦43.0 51◦29.2Kaus Aust. 83◦35.9 -34◦22.4

Vega 80◦34.8 38◦48.2Nunki 75◦51.0 -26◦16.1Altair 62◦02.5 8◦55.4

Peacock 53◦09.8 -56◦39.8Deneb 49◦27.3 45◦21.2

Enif 33◦41.4 9◦58.3Alnair 27◦36.4 -46◦51.2

Fomalhaut 15◦17.7 -29◦30.4Scheat 13◦47.9 28◦11.7Markab 13◦32.7 15◦19.1

2021/6/2 SHA Mer.passVenus 241◦33.2 13:45Mars 229◦34.2 14:31

Jupiter 25◦29.4 04:08Saturn 44◦35.3 02:52

2021/6/2 SHA Mer.passVenus 240◦15.8 13:46Mars 228◦56.2 14:30

Jupiter 25◦30.0 04:04Saturn 44◦38.1 02:48

2021/6/2 SHA Mer.passVenus 238◦58.6 13:47Mars 228◦18.4 14:29

Jupiter 25◦30.8 03:60Saturn 44◦41.0 02:43

Horizontal paralaxVenus: 0.1Mars: 0.1

118

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2021 June 24 to Jun. 26

h Sun MoonThu GHA Dec GHA ν Dec d HP0 179◦24.1 23◦24.6 11◦17.8 2.8 -24◦12.3 -5.7 60.91 194◦24.0 23◦24.5 25◦39.5 2.7 -24◦17.9 -5.5 60.92 209◦23.9 23◦24.5 40◦01.2 2.7 -24◦23.3 -5.3 60.83 224◦23.7 23◦24.4 54◦22.9 2.6 -24◦28.5 -5.1 60.84 239◦23.6 23◦24.4 68◦44.5 2.6 -24◦33.6 -4.9 60.85 254◦23.5 23◦24.3 83◦06.1 2.5 -24◦38.4 -4.8 60.86 269◦23.3 23◦24.2 97◦27.6 2.5 -24◦43.1 -4.6 60.87 284◦23.2 23◦24.2 111◦49.1 2.5 -24◦47.6 -4.4 60.88 299◦23.1 23◦24.1 126◦10.5 2.4 -24◦51.8 -4.2 60.89 314◦22.9 23◦24.1 140◦31.9 2.4 -24◦55.9 -4.0 60.810 329◦22.8 23◦24.0 154◦53.3 2.4 -24◦59.8 -3.8 60.811 344◦22.7 23◦24.0 169◦14.7 2.4 -25◦03.6 -3.6 60.812 359◦22.6 23◦23.9 183◦36.0 2.3 -25◦07.1 -3.4 60.713 14◦22.4 23◦23.9 197◦57.4 2.3 -25◦10.4 -3.2 60.714 29◦22.3 23◦23.8 212◦18.7 2.3 -25◦13.6 -3.1 60.715 44◦22.2 23◦23.7 226◦39.9 2.3 -25◦16.5 -2.9 60.716 59◦22.0 23◦23.7 241◦01.2 2.3 -25◦19.3 -2.7 60.717 74◦21.9 23◦23.6 255◦22.5 2.3 -25◦21.9 -2.5 60.718 89◦21.8 23◦23.6 269◦43.7 2.3 -25◦24.3 -2.3 60.719 104◦21.6 23◦23.5 284◦05.0 2.3 -25◦26.4 -2.1 60.620 119◦21.5 23◦23.4 298◦26.2 2.3 -25◦28.4 -1.9 60.621 134◦21.4 23◦23.4 312◦47.5 2.3 -25◦30.2 -1.7 60.622 149◦21.2 23◦23.3 327◦08.7 2.3 -25◦31.8 -1.5 60.623 164◦21.1 23◦23.2 341◦30.0 2.3 -25◦33.3 -1.3 60.6

SD.=15.7 d=-0.0 S.D.=16.6

Fri GHA Dec GHA ν Dec d HP0 179◦21.0 23◦23.2 355◦51.3 2.3 -25◦34.5 -1.1 60.61 194◦20.8 23◦23.1 10◦12.6 2.3 -25◦35.5 -0.9 60.52 209◦20.7 23◦23.0 24◦33.9 2.3 -25◦36.3 -0.7 60.53 224◦20.6 23◦23.0 38◦55.2 2.3 -25◦37.0 -0.5 60.54 239◦20.4 23◦22.9 53◦16.5 2.4 -25◦37.4 -0.4 60.55 254◦20.3 23◦22.8 67◦37.9 2.4 -25◦37.7 -0.2 60.56 269◦20.2 23◦22.8 81◦59.3 2.4 -25◦37.8 0.0 60.47 284◦20.0 23◦22.7 96◦20.7 2.4 -25◦37.6 0.2 60.48 299◦19.9 23◦22.6 110◦42.2 2.5 -25◦37.3 0.4 60.49 314◦19.8 23◦22.5 125◦03.7 2.5 -25◦36.8 0.6 60.410 329◦19.6 23◦22.5 139◦25.2 2.6 -25◦36.1 0.8 60.311 344◦19.5 23◦22.4 153◦46.8 2.6 -25◦35.2 1.0 60.312 359◦19.4 23◦22.3 168◦08.4 2.6 -25◦34.2 1.2 60.313 14◦19.3 23◦22.2 182◦30.1 2.7 -25◦32.9 1.4 60.314 29◦19.1 23◦22.2 196◦51.8 2.7 -25◦31.5 1.5 60.215 44◦19.0 23◦22.1 211◦13.5 2.8 -25◦29.8 1.7 60.216 59◦18.9 23◦22.0 225◦35.4 2.8 -25◦28.0 1.9 60.217 74◦18.7 23◦21.9 239◦57.2 2.9 -25◦26.0 2.1 60.218 89◦18.6 23◦21.9 254◦19.2 3.0 -25◦23.8 2.3 60.119 104◦18.5 23◦21.8 268◦41.2 3.0 -25◦21.4 2.5 60.120 119◦18.3 23◦21.7 283◦03.2 3.1 -25◦18.9 2.6 60.121 134◦18.2 23◦21.6 297◦25.4 3.2 -25◦16.1 2.8 60.122 149◦18.1 23◦21.5 311◦47.6 3.2 -25◦13.2 3.0 60.023 164◦17.9 23◦21.5 326◦09.8 3.3 -25◦10.1 3.2 60.0

SD.=15.7 d=-0.1 S.D.=16.5

Sat GHA Dec GHA ν Dec d HP0 179◦17.8 23◦21.4 340◦32.2 3.4 -25◦06.9 3.4 60.01 194◦17.7 23◦21.3 354◦54.6 3.5 -25◦03.4 3.5 59.92 209◦17.6 23◦21.2 9◦17.1 3.5 -24◦59.8 3.7 59.93 224◦17.4 23◦21.1 23◦39.7 3.6 -24◦56.0 3.9 59.94 239◦17.3 23◦21.0 38◦02.4 3.7 -24◦52.0 4.1 59.95 254◦17.2 23◦20.9 52◦25.1 3.8 -24◦47.9 4.2 59.86 269◦17.0 23◦20.9 66◦48.0 3.9 -24◦43.6 4.4 59.87 284◦16.9 23◦20.8 81◦10.9 4.0 -24◦39.1 4.6 59.88 299◦16.8 23◦20.7 95◦33.9 4.1 -24◦34.4 4.7 59.79 314◦16.6 23◦20.6 109◦57.0 4.2 -24◦29.6 4.9 59.710 329◦16.5 23◦20.5 124◦20.2 4.3 -24◦24.6 5.1 59.711 344◦16.4 23◦20.4 138◦43.5 4.3 -24◦19.5 5.2 59.612 359◦16.3 23◦20.3 153◦06.9 4.4 -24◦14.2 5.4 59.613 14◦16.1 23◦20.2 167◦30.4 4.5 -24◦08.7 5.5 59.614 29◦16.0 23◦20.1 181◦54.0 4.6 -24◦03.1 5.7 59.515 44◦15.9 23◦20.0 196◦17.7 4.8 -23◦57.3 5.9 59.516 59◦15.7 23◦19.9 210◦41.5 4.9 -23◦51.4 6.0 59.517 74◦15.6 23◦19.9 225◦05.4 5.0 -23◦45.3 6.2 59.418 89◦15.5 23◦19.8 239◦29.4 5.1 -23◦39.1 6.3 59.419 104◦15.3 23◦19.7 253◦53.6 5.2 -23◦32.7 6.5 59.420 119◦15.2 23◦19.6 268◦17.8 5.3 -23◦26.2 6.6 59.321 134◦15.1 23◦19.5 282◦42.1 5.4 -23◦19.5 6.8 59.322 149◦15.0 23◦19.4 297◦06.6 5.5 -23◦12.7 6.9 59.323 164◦14.8 23◦19.3 311◦31.2 5.6 -23◦05.7 7.0 59.2

SD.=15.7 d=-0.1 S.D.=16.4

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 –:– –:– –:– –:– –:– –:–70 –:– –:– –:– –:– –:– –:–68 –:– –:– –:– –:– –:– –:–66 –:– –:– –:– –:– –:– –:–64 –:– –:– 01:33 22:31 –:– –:–62 –:– –:– 02:11 21:54 –:– –:–60 –:– 00:52 02:37 21:28 23:12 –:–58 –:– 01:42 02:58 21:07 22:23 –:–56 –:– 02:12 03:15 20:51 21:53 –:–54 00:48 02:34 03:29 20:36 21:31 23:1652 01:34 02:52 03:41 20:24 21:13 22:3150 02:02 03:07 03:52 20:13 20:58 22:0345 02:47 03:37 04:14 19:51 20:28 21:1840 03:18 03:60 04:32 19:33 20:06 20:4735 03:41 04:18 04:48 19:18 19:48 20:2430 03:60 04:33 05:01 19:05 19:32 20:0620 04:29 04:58 05:23 18:43 19:07 19:3710 04:51 05:18 05:41 18:24 18:47 19:140 05:10 05:37 05:59 18:06 18:29 18:55-10 05:27 05:54 06:16 17:49 18:12 18:38-20 05:43 06:11 06:35 17:30 17:54 18:22-30 05:60 06:30 06:56 17:09 17:36 18:06-35 06:09 06:40 07:09 16:57 17:25 17:57-40 06:18 06:52 07:23 16:43 17:13 17:47-45 06:28 07:06 07:40 16:26 16:60 17:37-50 06:40 07:22 08:00 16:05 16:44 17:25-52 06:45 07:29 08:10 15:55 16:36 17:20-54 06:51 07:37 08:21 15:44 16:28 17:14-56 06:57 07:46 08:34 15:32 16:19 17:08-58 07:04 07:57 08:49 15:17 16:09 17:02-60 07:11 08:08 09:06 14:60 15:57 16:54

Moonrise MoonsetLat. Thu Fri Sat Thu Fri Sat72 –:– –:– –:– –:– –:– –:–70 –:– –:– –:– –:– –:– –:–68 –:– –:– –:– –:– –:– –:–66 –:– –:– –:– –:– –:– –:–64 23:41 –:– 00:20 00:42 00:53 02:2862 22:32 23:28 23:50 01:22 02:01 03:2060 21:57 22:56 23:27 01:50 02:36 03:5158 21:32 22:32 23:08 02:12 03:02 04:1556 21:11 22:12 22:52 02:30 03:22 04:3454 20:54 21:56 22:39 02:45 03:39 04:5052 20:40 21:42 22:27 02:58 03:54 05:0450 20:27 21:30 22:16 03:10 04:06 05:1645 20:01 21:04 21:54 03:34 04:32 05:4140 19:41 20:44 21:36 03:54 04:53 06:0135 19:24 20:27 21:21 04:10 05:10 06:1730 19:09 20:13 21:08 04:24 05:25 06:3220 18:44 19:48 20:45 04:48 05:51 06:5610 18:22 19:26 20:26 05:09 06:12 07:170 18:02 19:06 20:08 05:28 06:33 07:36-10 17:42 18:46 19:50 05:47 06:53 07:55-20 17:20 18:25 19:30 06:08 07:15 08:16-30 16:56 17:60 19:07 06:32 07:40 08:40-35 16:41 17:45 18:54 06:47 07:55 08:53-40 16:24 17:28 18:39 07:03 08:12 09:09-45 16:04 17:08 18:20 07:23 08:32 09:28-50 15:39 16:43 17:57 07:47 08:58 09:52-52 15:27 16:30 17:46 07:59 09:10 10:03-54 15:13 16:16 17:34 08:13 09:24 10:16-56 14:57 15:60 17:19 08:29 09:41 10:31-58 14:38 15:40 17:02 08:47 10:01 10:48-60 14:15 15:16 16:42 09:11 10:25 11:09

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower24 02:23 02:30 12:02 00:17 11:44 14(100%)25 02:36 02:42 12:02 00:17 12:49 15(99%)26 02:49 02:55 12:02 01:21 13:52 16(96%)

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June 27, 28 ,29 (Sun., Mon., Tue.)Aries Venus Mars Jupiter Saturn

Sun GHA GHA Dec GHA Dec GHA Dec GHA Dec0 275◦19.5 153◦01.2 21◦44.4 143◦00.0 19◦04.8 300◦51.2 -11◦38.7 320◦03.5 -17◦42.61 290◦21.9 168◦00.5 21◦43.8 158◦00.9 19◦04.3 315◦53.7 -11◦38.7 335◦06.1 -17◦42.72 305◦24.4 182◦59.7 21◦43.2 173◦01.8 19◦03.9 330◦56.2 -11◦38.8 350◦08.7 -17◦42.73 320◦26.9 197◦59.0 21◦42.6 188◦02.7 19◦03.5 345◦58.7 -11◦38.8 5◦11.3 -17◦42.74 335◦29.3 212◦58.3 21◦42.0 203◦03.6 19◦03.1 1◦01.2 -11◦38.8 20◦13.9 -17◦42.85 350◦31.8 227◦57.5 21◦41.4 218◦04.5 19◦02.6 16◦03.7 -11◦38.8 35◦16.5 -17◦42.86 5◦34.3 242◦56.8 21◦40.8 233◦05.4 19◦02.2 31◦06.2 -11◦38.9 50◦19.1 -17◦42.97 20◦36.7 257◦56.1 21◦40.1 248◦06.2 19◦01.8 46◦08.8 -11◦38.9 65◦21.6 -17◦42.98 35◦39.2 272◦55.3 21◦39.5 263◦07.1 19◦01.4 61◦11.3 -11◦38.9 80◦24.2 -17◦43.09 50◦41.6 287◦54.6 21◦38.9 278◦08.0 19◦00.9 76◦13.8 -11◦39.0 95◦26.8 -17◦43.010 65◦44.1 302◦53.9 21◦38.3 293◦08.9 19◦00.5 91◦16.3 -11◦39.0 110◦29.4 -17◦43.011 80◦46.6 317◦53.1 21◦37.7 308◦09.8 19◦00.1 106◦18.8 -11◦39.0 125◦32.0 -17◦43.112 95◦49.0 332◦52.4 21◦37.0 323◦10.7 18◦59.6 121◦21.3 -11◦39.1 140◦34.6 -17◦43.113 110◦51.5 347◦51.7 21◦36.4 338◦11.6 18◦59.2 136◦23.8 -11◦39.1 155◦37.2 -17◦43.214 125◦54.0 2◦51.0 21◦35.8 353◦12.5 18◦58.8 151◦26.3 -11◦39.1 170◦39.8 -17◦43.215 140◦56.4 17◦50.2 21◦35.2 8◦13.4 18◦58.4 166◦28.9 -11◦39.1 185◦42.4 -17◦43.216 155◦58.9 32◦49.5 21◦34.5 23◦14.3 18◦57.9 181◦31.4 -11◦39.2 200◦45.0 -17◦43.317 171◦01.4 47◦48.8 21◦33.9 38◦15.2 18◦57.5 196◦33.9 -11◦39.2 215◦47.6 -17◦43.318 186◦03.8 62◦48.1 21◦33.3 53◦16.1 18◦57.1 211◦36.4 -11◦39.2 230◦50.2 -17◦43.419 201◦06.3 77◦47.3 21◦32.7 68◦16.9 18◦56.6 226◦38.9 -11◦39.3 245◦52.8 -17◦43.420 216◦08.7 92◦46.6 21◦32.0 83◦17.8 18◦56.2 241◦41.4 -11◦39.3 260◦55.4 -17◦43.521 231◦11.2 107◦45.9 21◦31.4 98◦18.7 18◦55.8 256◦43.9 -11◦39.3 275◦57.9 -17◦43.522 246◦13.7 122◦45.2 21◦30.8 113◦19.6 18◦55.4 271◦46.5 -11◦39.4 291◦00.5 -17◦43.523 261◦16.1 137◦44.5 21◦30.1 128◦20.5 18◦54.9 286◦49.0 -11◦39.4 306◦03.1 -17◦43.6Mer.pass.:5:37: v-0.7 d-0.6 m-3.8 v0.9 d-0.4 m1.8 v2.5 d-0.0 m-2.5 v2.6 d-0.0 m0.4

Mon GHA GHA Dec GHA Dec GHA Dec GHA Dec0 276◦18.6 152◦43.7 21◦29.5 143◦21.4 18◦54.5 301◦51.5 -11◦39.4 321◦05.7 -17◦43.61 291◦21.1 167◦43.0 21◦28.9 158◦22.3 18◦54.1 316◦54.0 -11◦39.5 336◦08.3 -17◦43.72 306◦23.5 182◦42.3 21◦28.2 173◦23.2 18◦53.6 331◦56.5 -11◦39.5 351◦10.9 -17◦43.73 321◦26.0 197◦41.6 21◦27.6 188◦24.1 18◦53.2 346◦59.0 -11◦39.5 6◦13.5 -17◦43.84 336◦28.5 212◦40.8 21◦27.0 203◦25.0 18◦52.8 2◦01.6 -11◦39.6 21◦16.1 -17◦43.85 351◦30.9 227◦40.1 21◦26.3 218◦25.9 18◦52.3 17◦04.1 -11◦39.6 36◦18.7 -17◦43.86 6◦33.4 242◦39.4 21◦25.7 233◦26.8 18◦51.9 32◦06.6 -11◦39.6 51◦21.3 -17◦43.97 21◦35.9 257◦38.7 21◦25.0 248◦27.7 18◦51.5 47◦09.1 -11◦39.7 66◦23.9 -17◦43.98 36◦38.3 272◦38.0 21◦24.4 263◦28.6 18◦51.1 62◦11.6 -11◦39.7 81◦26.5 -17◦44.09 51◦40.8 287◦37.3 21◦23.7 278◦29.5 18◦50.6 77◦14.1 -11◦39.7 96◦29.1 -17◦44.010 66◦43.2 302◦36.5 21◦23.1 293◦30.3 18◦50.2 92◦16.7 -11◦39.8 111◦31.7 -17◦44.011 81◦45.7 317◦35.8 21◦22.5 308◦31.2 18◦49.8 107◦19.2 -11◦39.8 126◦34.3 -17◦44.112 96◦48.2 332◦35.1 21◦21.8 323◦32.1 18◦49.3 122◦21.7 -11◦39.8 141◦36.9 -17◦44.113 111◦50.6 347◦34.4 21◦21.2 338◦33.0 18◦48.9 137◦24.2 -11◦39.9 156◦39.5 -17◦44.214 126◦53.1 2◦33.7 21◦20.5 353◦33.9 18◦48.5 152◦26.7 -11◦39.9 171◦42.1 -17◦44.215 141◦55.6 17◦33.0 21◦19.9 8◦34.8 18◦48.0 167◦29.3 -11◦39.9 186◦44.7 -17◦44.316 156◦58.0 32◦32.3 21◦19.2 23◦35.7 18◦47.6 182◦31.8 -11◦40.0 201◦47.2 -17◦44.317 172◦00.5 47◦31.5 21◦18.6 38◦36.6 18◦47.2 197◦34.3 -11◦40.0 216◦49.8 -17◦44.318 187◦03.0 62◦30.8 21◦17.9 53◦37.5 18◦46.7 212◦36.8 -11◦40.0 231◦52.4 -17◦44.419 202◦05.4 77◦30.1 21◦17.3 68◦38.4 18◦46.3 227◦39.3 -11◦40.1 246◦55.0 -17◦44.420 217◦07.9 92◦29.4 21◦16.6 83◦39.3 18◦45.9 242◦41.9 -11◦40.1 261◦57.6 -17◦44.521 232◦10.4 107◦28.7 21◦15.9 98◦40.2 18◦45.4 257◦44.4 -11◦40.1 277◦00.2 -17◦44.522 247◦12.8 122◦28.0 21◦15.3 113◦41.1 18◦45.0 272◦46.9 -11◦40.2 292◦02.8 -17◦44.623 262◦15.3 137◦27.3 21◦14.6 128◦42.0 18◦44.6 287◦49.4 -11◦40.2 307◦05.4 -17◦44.6Mer.pass.:5:33: v-0.7 d-0.6 m-3.8 v0.9 d-0.4 m1.8 v2.5 d-0.0 m-2.5 v2.6 d-0.0 m0.4

Tue GHA GHA Dec GHA Dec GHA Dec GHA Dec0 277◦17.7 152◦26.6 21◦14.0 143◦42.9 18◦44.1 302◦52.0 -11◦40.2 322◦08.0 -17◦44.61 292◦20.2 167◦25.9 21◦13.3 158◦43.8 18◦43.7 317◦54.5 -11◦40.3 337◦10.6 -17◦44.72 307◦22.7 182◦25.2 21◦12.6 173◦44.7 18◦43.3 332◦57.0 -11◦40.3 352◦13.2 -17◦44.73 322◦25.1 197◦24.4 21◦12.0 188◦45.6 18◦42.8 347◦59.5 -11◦40.3 7◦15.8 -17◦44.84 337◦27.6 212◦23.7 21◦11.3 203◦46.5 18◦42.4 3◦02.1 -11◦40.4 22◦18.4 -17◦44.85 352◦30.1 227◦23.0 21◦10.7 218◦47.4 18◦41.9 18◦04.6 -11◦40.4 37◦21.0 -17◦44.96 7◦32.5 242◦22.3 21◦10.0 233◦48.2 18◦41.5 33◦07.1 -11◦40.4 52◦23.6 -17◦44.97 22◦35.0 257◦21.6 21◦09.3 248◦49.1 18◦41.1 48◦09.6 -11◦40.5 67◦26.2 -17◦44.98 37◦37.5 272◦20.9 21◦08.7 263◦50.0 18◦40.6 63◦12.2 -11◦40.5 82◦28.8 -17◦45.09 52◦39.9 287◦20.2 21◦08.0 278◦50.9 18◦40.2 78◦14.7 -11◦40.5 97◦31.4 -17◦45.010 67◦42.4 302◦19.5 21◦07.3 293◦51.8 18◦39.8 93◦17.2 -11◦40.6 112◦34.0 -17◦45.111 82◦44.8 317◦18.8 21◦06.6 308◦52.7 18◦39.3 108◦19.7 -11◦40.6 127◦36.6 -17◦45.112 97◦47.3 332◦18.1 21◦06.0 323◦53.6 18◦38.9 123◦22.3 -11◦40.7 142◦39.2 -17◦45.213 112◦49.8 347◦17.4 21◦05.3 338◦54.5 18◦38.4 138◦24.8 -11◦40.7 157◦41.8 -17◦45.214 127◦52.2 2◦16.7 21◦04.6 353◦55.4 18◦38.0 153◦27.3 -11◦40.7 172◦44.4 -17◦45.215 142◦54.7 17◦16.0 21◦04.0 8◦56.3 18◦37.6 168◦29.9 -11◦40.8 187◦47.0 -17◦45.316 157◦57.2 32◦15.3 21◦03.3 23◦57.2 18◦37.1 183◦32.4 -11◦40.8 202◦49.6 -17◦45.317 172◦59.6 47◦14.6 21◦02.6 38◦58.1 18◦36.7 198◦34.9 -11◦40.8 217◦52.2 -17◦45.418 188◦02.1 62◦13.9 21◦01.9 53◦59.0 18◦36.3 213◦37.4 -11◦40.9 232◦54.8 -17◦45.419 203◦04.6 77◦13.2 21◦01.2 68◦59.9 18◦35.8 228◦40.0 -11◦40.9 247◦57.4 -17◦45.520 218◦07.0 92◦12.5 21◦00.6 84◦00.8 18◦35.4 243◦42.5 -11◦40.9 262◦60.0 -17◦45.521 233◦09.5 107◦11.8 20◦59.9 99◦01.7 18◦34.9 258◦45.0 -11◦41.0 278◦02.6 -17◦45.522 248◦12.0 122◦11.1 20◦59.2 114◦02.6 18◦34.5 273◦47.6 -11◦41.0 293◦05.2 -17◦45.623 263◦14.4 137◦10.4 20◦58.5 129◦03.5 18◦34.1 288◦50.1 -11◦41.1 308◦07.8 -17◦45.6Mer.pass.:5:29: v-0.7 d-0.7 m-3.8 v0.9 d-0.4 m1.8 v2.5 d-0.0 m-2.5 v2.6 d-0.0 m0.4

StarsSHA Dec

Alpheratz 357◦37.7 29◦12.3Ankaa 353◦10.0 -42◦11.2

Schedar 349◦34.3 56◦38.9Diphda 348◦50.1 -17◦52.1

Achernar 335◦22.6 -57◦07.5Hamal 327◦54.6 23◦33.6Polaris 315◦40.1 89◦20.9Akamar 315◦14.3 -40◦13.0Menkar 314◦09.4 4◦10.3Mirfak 308◦32.7 49◦56.0

Aldebaran 290◦43.3 16◦33.0Rigel 281◦07.0 -8◦10.6

Capella 280◦26.6 46◦01.1Bellatrix 278◦26.3 6◦22.1Elnath 278◦05.9 28◦37.4Alnilam 275◦41.0 -1◦11.3

Betelgeuse 270◦55.6 7◦24.6Canopus 263◦54.2 -52◦42.4

Sirius 258◦29.0 -16◦44.6Adara 255◦08.5 -29◦00.1

Procyon 244◦54.1 5◦10.4Pollux 243◦21.1 27◦58.5Avior 234◦16.4 -59◦34.8Suhail 222◦48.7 -43◦31.2

Miaplacidus 221◦39.5 -69◦48.5Alphard 217◦50.8 -8◦45.1Regulus 207◦37.7 11◦51.9Dubhe 193◦44.9 61◦38.5

Denebola 182◦27.9 14◦27.3Gienah 175◦46.5 -17◦39.7Acrux 173◦03.2 -63◦13.3

Gacrux 171◦54.7 -57◦14.2Alioth 166◦15.6 55◦51.0Spica 158◦25.2 -11◦16.3Alcaid 152◦54.1 49◦12.7Hadar 148◦39.7 -60◦28.7

Menkent 148◦00.8 -36◦28.6Arcturus 145◦50.2 19◦04.7

Rigil Kent. 139◦43.8 -60◦55.5Zubenelg. 136◦59.0 -16◦07.8Kochab 137◦19.1 74◦04.4

Alphecca 126◦05.9 26◦38.8Antares 112◦19.0 -26◦28.7

Atria 107◦15.3 -69◦04.0Sabik 102◦05.7 -15◦45.0

Shaula 96◦13.9 -37◦07.1Rasalhague 96◦00.9 12◦32.8

Etamin 90◦43.0 51◦29.2Kaus Aust. 83◦35.9 -34◦22.4

Vega 80◦34.8 38◦48.2Nunki 75◦51.0 -26◦16.1Altair 62◦02.5 8◦55.4

Peacock 53◦09.8 -56◦39.8Deneb 49◦27.3 45◦21.2

Enif 33◦41.4 9◦58.3Alnair 27◦36.3 -46◦51.2

Fomalhaut 15◦17.6 -29◦30.4Scheat 13◦47.9 28◦11.7Markab 13◦32.6 15◦19.1

2021/6/2 SHA Mer.passVenus 237◦41.7 13:49Mars 227◦40.5 14:27

Jupiter 25◦31.7 03:56Saturn 44◦44.0 02:39

2021/6/2 SHA Mer.passVenus 236◦25.1 13:50Mars 227◦02.8 14:26

Jupiter 25◦32.9 03:52Saturn 44◦47.1 02:35

2021/6/2 SHA Mer.passVenus 235◦08.8 13:51Mars 226◦25.1 14:24

Jupiter 25◦34.2 03:48Saturn 44◦50.3 02:31

Horizontal paralaxVenus: 0.1Mars: 0.1

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2021 June 27 to Jun. 29

h Sun MoonSun GHA Dec GHA ν Dec d HP0 179◦14.7 23◦19.2 325◦55.8 5.7 -22◦58.6 7.2 59.21 194◦14.6 23◦19.1 340◦20.6 5.9 -22◦51.3 7.3 59.22 209◦14.4 23◦19.0 354◦45.5 6.0 -22◦43.9 7.5 59.13 224◦14.3 23◦18.9 9◦10.6 6.1 -22◦36.4 7.6 59.14 239◦14.2 23◦18.8 23◦35.7 6.2 -22◦28.7 7.7 59.15 254◦14.1 23◦18.7 38◦01.0 6.3 -22◦20.9 7.9 59.06 269◦13.9 23◦18.6 52◦26.3 6.4 -22◦13.0 8.0 59.07 284◦13.8 23◦18.4 66◦51.8 6.6 -22◦05.0 8.1 59.08 299◦13.7 23◦18.3 81◦17.4 6.7 -21◦56.8 8.2 58.99 314◦13.5 23◦18.2 95◦43.2 6.8 -21◦48.5 8.4 58.910 329◦13.4 23◦18.1 110◦09.0 6.9 -21◦40.0 8.5 58.811 344◦13.3 23◦18.0 124◦35.0 7.0 -21◦31.5 8.6 58.812 359◦13.2 23◦17.9 139◦01.1 7.2 -21◦22.8 8.7 58.813 14◦13.0 23◦17.8 153◦27.3 7.3 -21◦14.0 8.9 58.714 29◦12.9 23◦17.7 167◦53.6 7.4 -21◦05.1 9.0 58.715 44◦12.8 23◦17.6 182◦20.1 7.5 -20◦56.1 9.1 58.716 59◦12.7 23◦17.5 196◦46.7 7.6 -20◦46.9 9.2 58.617 74◦12.5 23◦17.4 211◦13.4 7.8 -20◦37.7 9.3 58.618 89◦12.4 23◦17.2 225◦40.2 7.9 -20◦28.3 9.4 58.519 104◦12.3 23◦17.1 240◦07.1 8.0 -20◦18.8 9.5 58.520 119◦12.1 23◦17.0 254◦34.2 8.1 -20◦09.3 9.6 58.521 134◦12.0 23◦16.9 269◦01.4 8.2 -19◦59.6 9.7 58.422 149◦11.9 23◦16.8 283◦28.7 8.4 -19◦49.8 9.8 58.423 164◦11.8 23◦16.7 297◦56.1 8.5 -19◦39.9 9.9 58.4

SD.=15.7 d=-0.1 S.D.=16.2

Mon GHA Dec GHA ν Dec d HP0 179◦11.6 23◦16.6 312◦23.6 8.6 -19◦29.9 10.0 58.31 194◦11.5 23◦16.4 326◦51.3 8.7 -19◦19.9 10.1 58.32 209◦11.4 23◦16.3 341◦19.1 8.8 -19◦09.7 10.2 58.23 224◦11.2 23◦16.2 355◦47.0 9.0 -18◦59.4 10.3 58.24 239◦11.1 23◦16.1 10◦15.0 9.1 -18◦49.1 10.4 58.25 254◦11.0 23◦16.0 24◦43.1 9.2 -18◦38.6 10.5 58.16 269◦10.9 23◦15.8 39◦11.4 9.3 -18◦28.1 10.6 58.17 284◦10.7 23◦15.7 53◦39.8 9.4 -18◦17.4 10.7 58.08 299◦10.6 23◦15.6 68◦08.3 9.6 -18◦06.7 10.8 58.09 314◦10.5 23◦15.5 82◦36.9 9.7 -17◦55.9 10.8 58.010 329◦10.4 23◦15.3 97◦05.6 9.8 -17◦45.0 10.9 57.911 344◦10.2 23◦15.2 111◦34.5 9.9 -17◦34.1 11.0 57.912 359◦10.1 23◦15.1 126◦03.4 10.0 -17◦23.0 11.1 57.913 14◦10.0 23◦15.0 140◦32.5 10.1 -17◦11.9 11.2 57.814 29◦09.9 23◦14.8 155◦01.7 10.2 -17◦00.7 11.2 57.815 44◦09.7 23◦14.7 169◦31.0 10.4 -16◦49.4 11.3 57.716 59◦09.6 23◦14.6 184◦00.4 10.5 -16◦38.1 11.4 57.717 74◦09.5 23◦14.5 198◦29.9 10.6 -16◦26.7 11.4 57.718 89◦09.4 23◦14.3 212◦59.6 10.7 -16◦15.2 11.5 57.619 104◦09.2 23◦14.2 227◦29.3 10.8 -16◦03.7 11.6 57.620 119◦09.1 23◦14.1 241◦59.2 10.9 -15◦52.0 11.6 57.621 134◦09.0 23◦13.9 256◦29.1 11.0 -15◦40.4 11.7 57.522 149◦08.9 23◦13.8 270◦59.2 11.1 -15◦28.6 11.8 57.523 164◦08.7 23◦13.7 285◦29.4 11.2 -15◦16.8 11.8 57.4

SD.=15.7 d=-0.1 S.D.=15.9

Tue GHA Dec GHA ν Dec d HP0 179◦08.6 23◦13.5 299◦59.6 11.3 -15◦04.9 11.9 57.41 194◦08.5 23◦13.4 314◦30.0 11.4 -14◦53.0 12.0 57.42 209◦08.4 23◦13.3 329◦00.5 11.5 -14◦41.0 12.0 57.33 224◦08.2 23◦13.1 343◦31.1 11.6 -14◦29.0 12.1 57.34 239◦08.1 23◦13.0 358◦01.8 11.7 -14◦16.9 12.1 57.25 254◦08.0 23◦12.9 12◦32.6 11.8 -14◦04.7 12.2 57.26 269◦07.9 23◦12.7 27◦03.5 11.9 -13◦52.5 12.2 57.27 284◦07.7 23◦12.6 41◦34.5 12.0 -13◦40.3 12.3 57.18 299◦07.6 23◦12.4 56◦05.6 12.1 -13◦28.0 12.3 57.19 314◦07.5 23◦12.3 70◦36.8 12.2 -13◦15.6 12.4 57.110 329◦07.4 23◦12.2 85◦08.1 12.3 -13◦03.3 12.4 57.011 344◦07.2 23◦12.0 99◦39.4 12.4 -12◦50.8 12.5 57.012 359◦07.1 23◦11.9 114◦10.9 12.5 -12◦38.3 12.5 57.013 14◦07.0 23◦11.7 128◦42.5 12.6 -12◦25.8 12.5 56.914 29◦06.9 23◦11.6 143◦14.1 12.7 -12◦13.2 12.6 56.915 44◦06.7 23◦11.4 157◦45.9 12.8 -12◦00.6 12.6 56.816 59◦06.6 23◦11.3 172◦17.7 12.9 -11◦48.0 12.7 56.817 74◦06.5 23◦11.1 186◦49.6 13.0 -11◦35.3 12.7 56.818 89◦06.4 23◦11.0 201◦21.6 13.1 -11◦22.6 12.7 56.719 104◦06.2 23◦10.9 215◦53.7 13.1 -11◦09.8 12.8 56.720 119◦06.1 23◦10.7 230◦25.9 13.2 -10◦57.0 12.8 56.721 134◦06.0 23◦10.6 244◦58.2 13.3 -10◦44.2 12.8 56.622 149◦05.9 23◦10.4 259◦30.5 13.4 -10◦31.4 12.9 56.623 164◦05.7 23◦10.3 274◦02.9 13.5 -10◦18.5 12.9 56.6

SD.=15.7 d=-0.1 S.D.=15.7

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 –:– –:– –:– –:– –:– –:–70 –:– –:– –:– –:– –:– –:–68 –:– –:– –:– –:– –:– –:–66 –:– –:– –:– –:– –:– –:–64 –:– –:– 01:37 22:29 –:– –:–62 –:– –:– 02:14 21:52 –:– –:–60 –:– 00:57 02:40 21:27 23:08 –:–58 –:– 01:45 02:60 21:06 22:21 –:–56 –:– 02:14 03:16 20:50 21:52 –:–54 00:52 02:36 03:30 20:36 21:30 23:1352 01:37 02:54 03:43 20:24 21:12 22:2950 02:04 03:09 03:53 20:13 20:57 22:0245 02:49 03:38 04:16 19:51 20:28 21:1740 03:19 04:01 04:34 19:33 20:06 20:4735 03:42 04:19 04:49 19:18 19:48 20:2430 04:01 04:34 05:01 19:05 19:33 20:0620 04:30 04:59 05:23 18:43 19:08 19:3710 04:52 05:19 05:42 18:24 18:47 19:150 05:11 05:37 05:60 18:07 18:29 18:56-10 05:28 05:54 06:17 17:50 18:12 18:39-20 05:44 06:11 06:35 17:31 17:55 18:23-30 06:00 06:30 06:56 17:10 17:37 18:06-35 06:09 06:41 07:09 16:58 17:26 17:58-40 06:18 06:52 07:23 16:44 17:14 17:48-45 06:29 07:06 07:40 16:27 17:01 17:38-50 06:40 07:22 08:00 16:07 16:45 17:27-52 06:45 07:29 08:10 15:57 16:38 17:21-54 06:51 07:37 08:21 15:46 16:30 17:16-56 06:57 07:46 08:33 15:33 16:21 17:10-58 07:04 07:56 08:48 15:19 16:11 17:03-60 07:11 08:08 09:05 15:02 15:59 16:56

Moonrise MoonsetLat. Sun Mon Tue Sun Mon Tue72 –:– –:– 01:43 –:– –:– 06:5770 –:– 02:10 01:12 –:– 04:42 07:2668 –:– 01:16 00:49 –:– 05:35 07:4866 01:08 00:43 00:30 03:47 06:07 08:0464 00:21 00:19 00:16 04:33 06:31 08:1862 23:59 –:– 00:03 05:03 06:49 08:2960 23:43 23:52 23:58 05:26 07:05 08:3958 23:29 23:43 23:53 05:44 07:17 08:4756 23:18 23:35 23:48 05:60 07:28 08:5454 23:07 23:28 23:43 06:13 07:38 09:0152 22:58 23:21 23:39 06:24 07:47 09:0750 22:50 23:15 23:35 06:34 07:54 09:1245 22:32 23:02 23:27 06:56 08:11 09:2340 22:18 22:52 23:20 07:13 08:24 09:3335 22:05 22:42 23:14 07:27 08:35 09:4130 21:55 22:34 23:09 07:39 08:45 09:4820 21:36 22:20 22:59 08:00 09:02 09:6010 21:20 22:08 22:51 08:19 09:16 10:100 21:05 21:56 22:44 08:36 09:30 10:20-10 20:49 21:45 22:36 08:52 09:43 10:29-20 20:33 21:32 22:28 09:10 09:58 10:39-30 20:14 21:18 22:19 09:31 10:14 10:51-35 20:03 21:10 22:13 09:43 10:23 10:57-40 19:50 21:00 22:07 09:56 10:34 11:05-45 19:35 20:49 21:60 10:12 10:46 11:14-50 19:17 20:36 21:51 10:32 11:01 11:24-52 19:08 20:29 21:47 10:41 11:08 11:29-54 18:58 20:22 21:43 10:52 11:16 11:34-56 18:47 20:14 21:38 11:04 11:25 11:40-58 18:34 20:05 21:32 11:17 11:35 11:46-60 18:19 19:55 21:26 11:33 11:46 11:54

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower27 03:01 03:07 12:03 02:21 14:50 17(90%)28 03:14 03:20 12:03 03:17 15:43 18(82%)29 03:26 03:32 12:03 04:08 16:31 19(73%)

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June 30, 01 ,02 (Wed., Thu., Fri.)Aries Venus Mars Jupiter Saturn

Wed GHA GHA Dec GHA Dec GHA Dec GHA Dec0 278◦16.9 152◦09.7 20◦57.8 144◦04.4 18◦33.6 303◦52.6 -11◦41.1 323◦10.4 -17◦45.71 293◦19.3 167◦09.0 20◦57.2 159◦05.3 18◦33.2 318◦55.1 -11◦41.1 338◦13.0 -17◦45.72 308◦21.8 182◦08.3 20◦56.5 174◦06.2 18◦32.7 333◦57.7 -11◦41.2 353◦15.6 -17◦45.83 323◦24.3 197◦07.6 20◦55.8 189◦07.1 18◦32.3 349◦00.2 -11◦41.2 8◦18.2 -17◦45.84 338◦26.7 212◦06.9 20◦55.1 204◦08.0 18◦31.9 4◦02.7 -11◦41.2 23◦20.8 -17◦45.95 353◦29.2 227◦06.2 20◦54.4 219◦08.9 18◦31.4 19◦05.3 -11◦41.3 38◦23.4 -17◦45.96 8◦31.7 242◦05.6 20◦53.7 234◦09.8 18◦31.0 34◦07.8 -11◦41.3 53◦26.0 -17◦45.97 23◦34.1 257◦04.9 20◦53.0 249◦10.7 18◦30.5 49◦10.3 -11◦41.4 68◦28.6 -17◦46.08 38◦36.6 272◦04.2 20◦52.3 264◦11.6 18◦30.1 64◦12.9 -11◦41.4 83◦31.2 -17◦46.09 53◦39.1 287◦03.5 20◦51.6 279◦12.5 18◦29.7 79◦15.4 -11◦41.4 98◦33.8 -17◦46.110 68◦41.5 302◦02.8 20◦51.0 294◦13.4 18◦29.2 94◦17.9 -11◦41.5 113◦36.4 -17◦46.111 83◦44.0 317◦02.1 20◦50.3 309◦14.3 18◦28.8 109◦20.5 -11◦41.5 128◦39.0 -17◦46.212 98◦46.5 332◦01.4 20◦49.6 324◦15.2 18◦28.3 124◦23.0 -11◦41.6 143◦41.6 -17◦46.213 113◦48.9 347◦00.7 20◦48.9 339◦16.1 18◦27.9 139◦25.6 -11◦41.6 158◦44.2 -17◦46.214 128◦51.4 2◦00.0 20◦48.2 354◦17.0 18◦27.4 154◦28.1 -11◦41.6 173◦46.8 -17◦46.315 143◦53.8 16◦59.3 20◦47.5 9◦17.9 18◦27.0 169◦30.6 -11◦41.7 188◦49.4 -17◦46.316 158◦56.3 31◦58.7 20◦46.8 24◦18.8 18◦26.6 184◦33.2 -11◦41.7 203◦52.0 -17◦46.417 173◦58.8 46◦58.0 20◦46.1 39◦19.7 18◦26.1 199◦35.7 -11◦41.8 218◦54.6 -17◦46.418 189◦01.2 61◦57.3 20◦45.4 54◦20.6 18◦25.7 214◦38.2 -11◦41.8 233◦57.2 -17◦46.519 204◦03.7 76◦56.6 20◦44.7 69◦21.5 18◦25.2 229◦40.8 -11◦41.8 248◦59.8 -17◦46.520 219◦06.2 91◦55.9 20◦44.0 84◦22.4 18◦24.8 244◦43.3 -11◦41.9 264◦02.4 -17◦46.621 234◦08.6 106◦55.2 20◦43.3 99◦23.3 18◦24.3 259◦45.8 -11◦41.9 279◦05.0 -17◦46.622 249◦11.1 121◦54.5 20◦42.6 114◦24.2 18◦23.9 274◦48.4 -11◦42.0 294◦07.6 -17◦46.623 264◦13.6 136◦53.9 20◦41.8 129◦25.1 18◦23.4 289◦50.9 -11◦42.0 309◦10.2 -17◦46.7Mer.pass.:5:25: v-0.7 d-0.7 m-3.8 v0.9 d-0.4 m1.8 v2.5 d-0.0 m-2.5 v2.6 d-0.0 m0.4

Thu GHA GHA Dec GHA Dec GHA Dec GHA Dec0 279◦16.0 151◦53.2 20◦41.1 144◦26.0 18◦23.0 304◦53.5 -11◦42.0 324◦12.8 -17◦46.71 294◦18.5 166◦52.5 20◦40.4 159◦26.9 18◦22.6 319◦56.0 -11◦42.1 339◦15.4 -17◦46.82 309◦20.9 181◦51.8 20◦39.7 174◦27.8 18◦22.1 334◦58.5 -11◦42.1 354◦18.0 -17◦46.83 324◦23.4 196◦51.1 20◦39.0 189◦28.7 18◦21.7 350◦01.1 -11◦42.2 9◦20.6 -17◦46.94 339◦25.9 211◦50.4 20◦38.3 204◦29.6 18◦21.2 5◦03.6 -11◦42.2 24◦23.2 -17◦46.95 354◦28.3 226◦49.8 20◦37.6 219◦30.5 18◦20.8 20◦06.2 -11◦42.2 39◦25.8 -17◦47.06 9◦30.8 241◦49.1 20◦36.9 234◦31.4 18◦20.3 35◦08.7 -11◦42.3 54◦28.4 -17◦47.07 24◦33.3 256◦48.4 20◦36.2 249◦32.3 18◦19.9 50◦11.2 -11◦42.3 69◦31.0 -17◦47.08 39◦35.7 271◦47.7 20◦35.4 264◦33.2 18◦19.4 65◦13.8 -11◦42.4 84◦33.6 -17◦47.19 54◦38.2 286◦47.0 20◦34.7 279◦34.1 18◦19.0 80◦16.3 -11◦42.4 99◦36.2 -17◦47.110 69◦40.7 301◦46.4 20◦34.0 294◦35.0 18◦18.5 95◦18.9 -11◦42.4 114◦38.8 -17◦47.211 84◦43.1 316◦45.7 20◦33.3 309◦35.9 18◦18.1 110◦21.4 -11◦42.5 129◦41.4 -17◦47.212 99◦45.6 331◦45.0 20◦32.6 324◦36.8 18◦17.6 125◦23.9 -11◦42.5 144◦44.1 -17◦47.313 114◦48.1 346◦44.3 20◦31.9 339◦37.7 18◦17.2 140◦26.5 -11◦42.6 159◦46.7 -17◦47.314 129◦50.5 1◦43.7 20◦31.1 354◦38.6 18◦16.7 155◦29.0 -11◦42.6 174◦49.3 -17◦47.415 144◦53.0 16◦43.0 20◦30.4 9◦39.5 18◦16.3 170◦31.6 -11◦42.6 189◦51.9 -17◦47.416 159◦55.4 31◦42.3 20◦29.7 24◦40.4 18◦15.8 185◦34.1 -11◦42.7 204◦54.5 -17◦47.417 174◦57.9 46◦41.6 20◦29.0 39◦41.3 18◦15.4 200◦36.7 -11◦42.7 219◦57.1 -17◦47.518 190◦00.4 61◦41.0 20◦28.2 54◦42.2 18◦15.0 215◦39.2 -11◦42.8 234◦59.7 -17◦47.519 205◦02.8 76◦40.3 20◦27.5 69◦43.1 18◦14.5 230◦41.8 -11◦42.8 250◦02.3 -17◦47.620 220◦05.3 91◦39.6 20◦26.8 84◦44.0 18◦14.1 245◦44.3 -11◦42.9 265◦04.9 -17◦47.621 235◦07.8 106◦39.0 20◦26.1 99◦44.9 18◦13.6 260◦46.8 -11◦42.9 280◦07.5 -17◦47.722 250◦10.2 121◦38.3 20◦25.3 114◦45.8 18◦13.2 275◦49.4 -11◦42.9 295◦10.1 -17◦47.723 265◦12.7 136◦37.6 20◦24.6 129◦46.7 18◦12.7 290◦51.9 -11◦43.0 310◦12.7 -17◦47.8Mer.pass.:5:22: v-0.7 d-0.7 m-3.8 v0.9 d-0.4 m1.8 v2.5 d-0.0 m-2.5 v2.6 d-0.0 m0.4

Fri GHA GHA Dec GHA Dec GHA Dec GHA Dec0 280◦15.2 151◦36.9 20◦23.9 144◦47.6 18◦12.3 305◦54.5 -11◦43.0 325◦15.3 -17◦47.81 295◦17.6 166◦36.3 20◦23.1 159◦48.5 18◦11.8 320◦57.0 -11◦43.1 340◦17.9 -17◦47.82 310◦20.1 181◦35.6 20◦22.4 174◦49.4 18◦11.4 335◦59.6 -11◦43.1 355◦20.5 -17◦47.93 325◦22.6 196◦34.9 20◦21.7 189◦50.3 18◦10.9 351◦02.1 -11◦43.2 10◦23.1 -17◦47.94 340◦25.0 211◦34.3 20◦20.9 204◦51.2 18◦10.5 6◦04.7 -11◦43.2 25◦25.7 -17◦48.05 355◦27.5 226◦33.6 20◦20.2 219◦52.1 18◦10.0 21◦07.2 -11◦43.2 40◦28.3 -17◦48.06 10◦29.9 241◦32.9 20◦19.5 234◦53.0 18◦09.6 36◦09.8 -11◦43.3 55◦30.9 -17◦48.17 25◦32.4 256◦32.3 20◦18.7 249◦53.9 18◦09.1 51◦12.3 -11◦43.3 70◦33.6 -17◦48.18 40◦34.9 271◦31.6 20◦18.0 264◦54.9 18◦08.6 66◦14.9 -11◦43.4 85◦36.2 -17◦48.29 55◦37.3 286◦30.9 20◦17.2 279◦55.8 18◦08.2 81◦17.4 -11◦43.4 100◦38.8 -17◦48.210 70◦39.8 301◦30.3 20◦16.5 294◦56.7 18◦07.7 96◦20.0 -11◦43.5 115◦41.4 -17◦48.311 85◦42.3 316◦29.6 20◦15.8 309◦57.6 18◦07.3 111◦22.5 -11◦43.5 130◦44.0 -17◦48.312 100◦44.7 331◦28.9 20◦15.0 324◦58.5 18◦06.8 126◦25.1 -11◦43.6 145◦46.6 -17◦48.313 115◦47.2 346◦28.3 20◦14.3 339◦59.4 18◦06.4 141◦27.6 -11◦43.6 160◦49.2 -17◦48.414 130◦49.7 1◦27.6 20◦13.5 355◦00.3 18◦05.9 156◦30.2 -11◦43.6 175◦51.8 -17◦48.415 145◦52.1 16◦27.0 20◦12.8 10◦01.2 18◦05.5 171◦32.7 -11◦43.7 190◦54.4 -17◦48.516 160◦54.6 31◦26.3 20◦12.0 25◦02.1 18◦05.0 186◦35.3 -11◦43.7 205◦57.0 -17◦48.517 175◦57.0 46◦25.6 20◦11.3 40◦03.0 18◦04.6 201◦37.8 -11◦43.8 220◦59.6 -17◦48.618 190◦59.5 61◦25.0 20◦10.5 55◦03.9 18◦04.1 216◦40.4 -11◦43.8 236◦02.2 -17◦48.619 206◦02.0 76◦24.3 20◦09.8 70◦04.8 18◦03.7 231◦42.9 -11◦43.9 251◦04.8 -17◦48.720 221◦04.4 91◦23.7 20◦09.0 85◦05.7 18◦03.2 246◦45.5 -11◦43.9 266◦07.4 -17◦48.721 236◦06.9 106◦23.0 20◦08.3 100◦06.6 18◦02.8 261◦48.0 -11◦44.0 281◦10.0 -17◦48.822 251◦09.4 121◦22.3 20◦07.5 115◦07.5 18◦02.3 276◦50.6 -11◦44.0 296◦12.7 -17◦48.823 266◦11.8 136◦21.7 20◦06.8 130◦08.4 18◦01.8 291◦53.1 -11◦44.1 311◦15.3 -17◦48.8Mer.pass.:5:18: v-0.7 d-0.7 m-3.8 v0.9 d-0.5 m1.8 v2.5 d-0.0 m-2.5 v2.6 d-0.0 m0.4

StarsSHA Dec

Alpheratz 357◦37.7 29◦12.3Ankaa 353◦10.0 -42◦11.2

Schedar 349◦34.3 56◦38.9Diphda 348◦50.1 -17◦52.1

Achernar 335◦22.6 -57◦07.5Hamal 327◦54.6 23◦33.6Polaris 315◦38.9 89◦20.9Akamar 315◦14.3 -40◦13.0Menkar 314◦09.4 4◦10.4Mirfak 308◦32.7 49◦56.0

Aldebaran 290◦43.2 16◦33.1Rigel 281◦07.0 -8◦10.6

Capella 280◦26.6 46◦01.1Bellatrix 278◦26.3 6◦22.1Elnath 278◦05.9 28◦37.4Alnilam 275◦41.0 -1◦11.3

Betelgeuse 270◦55.5 7◦24.6Canopus 263◦54.2 -52◦42.4

Sirius 258◦29.0 -16◦44.6Adara 255◦08.5 -29◦00.1

Procyon 244◦54.1 5◦10.4Pollux 243◦21.1 27◦58.5Avior 234◦16.5 -59◦34.8Suhail 222◦48.7 -43◦31.2

Miaplacidus 221◦39.5 -69◦48.4Alphard 217◦50.8 -8◦45.1Regulus 207◦37.7 11◦51.9Dubhe 193◦44.9 61◦38.5

Denebola 182◦27.9 14◦27.3Gienah 175◦46.5 -17◦39.7Acrux 173◦03.2 -63◦13.3

Gacrux 171◦54.8 -57◦14.2Alioth 166◦15.6 55◦51.0Spica 158◦25.2 -11◦16.3Alcaid 152◦54.2 49◦12.7Hadar 148◦39.7 -60◦28.7

Menkent 148◦00.8 -36◦28.6Arcturus 145◦50.3 19◦04.7

Rigil Kent. 139◦43.8 -60◦55.6Zubenelg. 136◦59.0 -16◦07.8Kochab 137◦19.2 74◦04.4

Alphecca 126◦05.9 26◦38.8Antares 112◦19.0 -26◦28.7

Atria 107◦15.3 -69◦04.0Sabik 102◦05.7 -15◦45.0

Shaula 96◦13.9 -37◦07.1Rasalhague 96◦00.9 12◦32.8

Etamin 90◦43.0 51◦29.2Kaus Aust. 83◦35.9 -34◦22.4

Vega 80◦34.8 38◦48.2Nunki 75◦51.0 -26◦16.1Altair 62◦02.5 8◦55.5

Peacock 53◦09.7 -56◦39.8Deneb 49◦27.3 45◦21.3

Enif 33◦41.4 9◦58.3Alnair 27◦36.3 -46◦51.2

Fomalhaut 15◦17.6 -29◦30.4Scheat 13◦47.8 28◦11.7Markab 13◦32.6 15◦19.1

2021/6/3 SHA Mer.passVenus 233◦52.8 13:52Mars 225◦47.5 14:23

Jupiter 25◦35.7 03:44Saturn 44◦53.5 02:27

2021/7/1 SHA Mer.passVenus 232◦37.2 13:53Mars 225◦10.0 14:21

Jupiter 25◦37.4 03:40Saturn 44◦56.8 02:23

2021/7/2 SHA Mer.passVenus 231◦21.8 13:54Mars 224◦32.5 14:20

Jupiter 25◦39.3 03:36Saturn 45◦00.2 02:19

Horizontal paralaxVenus: 0.1Mars: 0.1

122

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2021 June 30 to Jul. 02

h Sun MoonWed GHA Dec GHA ν Dec d HP0 179◦05.6 23◦10.1 288◦35.5 13.5 -10◦05.6 12.9 56.51 194◦05.5 23◦10.0 303◦08.0 13.6 -9◦52.6 13.0 56.52 209◦05.4 23◦09.8 317◦40.7 13.7 -9◦39.6 13.0 56.53 224◦05.3 23◦09.6 332◦13.4 13.8 -9◦26.6 13.0 56.44 239◦05.1 23◦09.5 346◦46.2 13.8 -9◦13.6 13.0 56.45 254◦05.0 23◦09.3 1◦19.1 13.9 -9◦00.6 13.1 56.36 269◦04.9 23◦09.2 15◦52.1 14.0 -8◦47.5 13.1 56.37 284◦04.8 23◦09.0 30◦25.1 14.1 -8◦34.4 13.1 56.38 299◦04.6 23◦08.9 44◦58.2 14.1 -8◦21.3 13.1 56.29 314◦04.5 23◦08.7 59◦31.4 14.2 -8◦08.2 13.1 56.210 329◦04.4 23◦08.6 74◦04.6 14.3 -7◦55.0 13.2 56.211 344◦04.3 23◦08.4 88◦37.9 14.3 -7◦41.9 13.2 56.112 359◦04.2 23◦08.2 103◦11.3 14.4 -7◦28.7 13.2 56.113 14◦04.0 23◦08.1 117◦44.7 14.5 -7◦15.5 13.2 56.114 29◦03.9 23◦07.9 132◦18.2 14.5 -7◦02.3 13.2 56.115 44◦03.8 23◦07.8 146◦51.8 14.6 -6◦49.0 13.2 56.016 59◦03.7 23◦07.6 161◦25.4 14.6 -6◦35.8 13.2 56.017 74◦03.5 23◦07.4 175◦59.1 14.7 -6◦22.5 13.3 56.018 89◦03.4 23◦07.3 190◦32.8 14.8 -6◦09.3 13.3 55.919 104◦03.3 23◦07.1 205◦06.6 14.8 -5◦56.0 13.3 55.920 119◦03.2 23◦06.9 219◦40.5 14.9 -5◦42.7 13.3 55.921 134◦03.1 23◦06.8 234◦14.4 14.9 -5◦29.4 13.3 55.822 149◦02.9 23◦06.6 248◦48.3 15.0 -5◦16.1 13.3 55.823 164◦02.8 23◦06.4 263◦22.3 15.0 -5◦02.8 13.3 55.8

SD.=15.7 d=-0.2 S.D.=15.4

Thu GHA Dec GHA ν Dec d HP0 179◦02.7 23◦06.3 277◦56.4 15.1 -4◦49.5 13.3 55.71 194◦02.6 23◦06.1 292◦30.5 15.1 -4◦36.2 13.3 55.72 209◦02.5 23◦05.9 307◦04.7 15.2 -4◦22.8 13.3 55.73 224◦02.3 23◦05.8 321◦38.9 15.2 -4◦09.5 13.3 55.74 239◦02.2 23◦05.6 336◦13.1 15.3 -3◦56.2 13.3 55.65 254◦02.1 23◦05.4 350◦47.4 15.3 -3◦42.9 13.3 55.66 269◦02.0 23◦05.2 5◦21.8 15.4 -3◦29.5 13.3 55.67 284◦01.9 23◦05.1 19◦56.2 15.4 -3◦16.2 13.3 55.58 299◦01.7 23◦04.9 34◦30.6 15.4 -3◦02.9 13.3 55.59 314◦01.6 23◦04.7 49◦05.1 15.5 -2◦49.5 13.3 55.510 329◦01.5 23◦04.6 63◦39.6 15.5 -2◦36.2 13.3 55.511 344◦01.4 23◦04.4 78◦14.1 15.6 -2◦22.9 13.3 55.412 359◦01.3 23◦04.2 92◦48.7 15.6 -2◦09.6 13.3 55.413 14◦01.1 23◦04.0 107◦23.3 15.6 -1◦56.2 13.3 55.414 29◦01.0 23◦03.8 121◦57.9 15.7 -1◦42.9 13.3 55.315 44◦00.9 23◦03.7 136◦32.6 15.7 -1◦29.6 13.3 55.316 59◦00.8 23◦03.5 151◦07.3 15.7 -1◦16.3 13.3 55.317 74◦00.7 23◦03.3 165◦42.1 15.8 -1◦03.0 13.3 55.318 89◦00.5 23◦03.1 180◦16.9 15.8 -0◦49.8 13.3 55.219 104◦00.4 23◦02.9 194◦51.7 15.8 -0◦36.5 13.3 55.220 119◦00.3 23◦02.8 209◦26.5 15.8 -0◦23.2 13.3 55.221 134◦00.2 23◦02.6 224◦01.4 15.9 -0◦10.0 13.2 55.222 149◦00.1 23◦02.4 238◦36.2 15.9 0◦03.3 13.2 55.123 163◦59.9 23◦02.2 253◦11.1 15.9 0◦16.5 13.2 55.1

SD.=15.7 d=-0.2 S.D.=15.2

Fri GHA Dec GHA ν Dec d HP0 178◦59.8 23◦02.0 267◦46.1 15.9 0◦29.7 13.2 55.11 193◦59.7 23◦01.8 282◦21.0 16.0 0◦42.9 13.2 55.12 208◦59.6 23◦01.7 296◦56.0 16.0 0◦56.1 13.2 55.13 223◦59.5 23◦01.5 311◦31.0 16.0 1◦09.3 13.2 55.04 238◦59.4 23◦01.3 326◦06.0 16.0 1◦22.5 13.2 55.05 253◦59.2 23◦01.1 340◦41.0 16.0 1◦35.6 13.1 55.06 268◦59.1 23◦00.9 355◦16.1 16.1 1◦48.7 13.1 55.07 283◦59.0 23◦00.7 9◦51.1 16.1 2◦01.8 13.1 54.98 298◦58.9 23◦00.5 24◦26.2 16.1 2◦14.9 13.1 54.99 313◦58.8 23◦00.3 39◦01.3 16.1 2◦28.0 13.1 54.910 328◦58.7 23◦00.1 53◦36.4 16.1 2◦41.1 13.0 54.911 343◦58.5 22◦60.0 68◦11.5 16.1 2◦54.1 13.0 54.912 358◦58.4 22◦59.8 82◦46.6 16.1 3◦07.1 13.0 54.813 13◦58.3 22◦59.6 97◦21.7 16.1 3◦20.1 13.0 54.814 28◦58.2 22◦59.4 111◦56.9 16.1 3◦33.1 13.0 54.815 43◦58.1 22◦59.2 126◦32.0 16.1 3◦46.0 12.9 54.816 58◦58.0 22◦59.0 141◦07.1 16.1 3◦59.0 12.9 54.817 73◦57.8 22◦58.8 155◦42.3 16.1 4◦11.9 12.9 54.718 88◦57.7 22◦58.6 170◦17.4 16.2 4◦24.7 12.9 54.719 103◦57.6 22◦58.4 184◦52.6 16.2 4◦37.6 12.8 54.720 118◦57.5 22◦58.2 199◦27.7 16.2 4◦50.4 12.8 54.721 133◦57.4 22◦58.0 214◦02.9 16.2 5◦03.2 12.8 54.722 148◦57.3 22◦57.8 228◦38.1 16.2 5◦16.0 12.8 54.623 163◦57.1 22◦57.6 243◦13.2 16.1 5◦28.7 12.7 54.6

SD.=15.7 d=-0.2 S.D.=15.0

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 –:– –:– –:– –:– –:– –:–70 –:– –:– –:– –:– –:– –:–68 –:– –:– –:– –:– –:– –:–66 –:– –:– 00:22 23:38 –:– –:–64 –:– –:– 01:42 22:25 –:– –:–62 –:– –:– 02:17 21:50 –:– –:–60 –:– 01:04 02:42 21:25 23:02 –:–58 –:– 01:49 03:02 21:05 22:18 –:–56 –:– 02:17 03:19 20:49 21:50 –:–54 00:59 02:39 03:32 20:35 21:29 23:0752 01:40 02:56 03:45 20:23 21:11 22:2750 02:07 03:11 03:55 20:12 20:56 22:0045 02:51 03:40 04:17 19:50 20:27 21:1740 03:21 04:02 04:35 19:33 20:05 20:4735 03:44 04:20 04:50 19:18 19:48 20:2430 04:02 04:35 05:03 19:05 19:33 20:0620 04:31 04:60 05:24 18:43 19:08 19:3710 04:53 05:20 05:43 18:25 18:48 19:150 05:12 05:38 06:00 18:08 18:30 18:56-10 05:28 05:55 06:17 17:50 18:13 18:39-20 05:44 06:12 06:36 17:32 17:56 18:24-30 06:00 06:30 06:57 17:11 17:38 18:07-35 06:09 06:41 07:09 16:59 17:27 17:59-40 06:18 06:52 07:23 16:45 17:16 17:50-45 06:28 07:05 07:39 16:29 17:02 17:40-50 06:40 07:21 07:60 16:08 16:47 17:28-52 06:45 07:29 08:09 15:59 16:39 17:23-54 06:51 07:37 08:20 15:48 16:31 17:17-56 06:57 07:45 08:32 15:36 16:23 17:11-58 07:03 07:55 08:47 15:21 16:13 17:05-60 07:10 08:07 09:04 15:04 16:01 16:58

Moonrise MoonsetLat. Wed Thu Fri Wed Thu Fri72 00:59 00:29 00:04 09:17 11:18 13:1170 00:44 00:23 00:05 09:30 11:21 13:0768 00:31 00:17 00:05 09:41 11:24 13:0366 00:21 00:13 00:05 09:49 11:26 12:6064 00:12 00:09 00:06 09:56 11:28 12:5762 00:05 00:06 00:06 10:02 11:30 12:5560 –:– 00:03 00:06 10:07 11:31 12:5358 –:– 00:00 00:07 10:12 11:33 12:5156 23:58 –:– 00:07 10:16 11:34 12:4954 23:56 –:– 00:07 10:20 11:35 12:4852 23:54 –:– 00:07 10:23 11:36 12:4650 23:52 –:– 00:07 10:26 11:37 12:4545 23:48 –:– 00:08 10:33 11:39 12:4340 23:45 –:– 00:08 10:38 11:40 12:4035 23:42 –:– 00:08 10:42 11:41 12:3930 23:40 –:– 00:08 10:47 11:43 12:3720 23:35 –:– 00:09 10:53 11:45 12:3410 23:31 –:– 00:09 10:60 11:46 12:320 23:28 –:– 00:10 11:05 11:48 12:29-10 23:24 –:– 00:10 11:11 11:50 12:27-20 23:20 –:– 00:10 11:17 11:51 12:24-30 23:16 –:– 00:11 11:23 11:53 12:22-35 23:13 –:– 00:11 11:27 11:54 12:20-40 23:11 –:– 00:12 11:31 11:55 12:18-45 23:07 –:– 00:12 11:36 11:57 12:16-50 23:03 –:– 00:12 11:42 11:58 12:14-52 23:01 –:– 00:13 11:45 11:59 12:12-54 22:59 –:– 00:13 11:48 11:60 12:11-56 22:57 –:– 00:13 11:51 12:01 12:10-58 22:55 –:– 00:14 11:55 12:02 12:08-60 22:52 –:– 00:14 11:59 12:03 12:06

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower30 03:38 03:43 12:03 04:54 17:16 20(64%)1 03:49 03:55 12:03 05:37 17:58 21(54%)2 04:01 04:06 12:04 06:19 18:39 22(44%)

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July 03, 04 ,05 (Sat., Sun., Mon.)Aries Venus Mars Jupiter Saturn

Sat GHA GHA Dec GHA Dec GHA Dec GHA Dec0 281◦14.3 151◦21.0 20◦06.0 145◦09.3 18◦01.4 306◦55.7 -11◦44.1 326◦17.9 -17◦48.91 296◦16.8 166◦20.4 20◦05.3 160◦10.2 18◦00.9 321◦58.2 -11◦44.1 341◦20.5 -17◦48.92 311◦19.2 181◦19.7 20◦04.5 175◦11.1 18◦00.5 337◦00.8 -11◦44.2 356◦23.1 -17◦49.03 326◦21.7 196◦19.1 20◦03.8 190◦12.0 18◦00.0 352◦03.3 -11◦44.2 11◦25.7 -17◦49.04 341◦24.2 211◦18.4 20◦03.0 205◦12.9 17◦59.6 7◦05.9 -11◦44.3 26◦28.3 -17◦49.15 356◦26.6 226◦17.8 20◦02.3 220◦13.9 17◦59.1 22◦08.5 -11◦44.3 41◦30.9 -17◦49.16 11◦29.1 241◦17.1 20◦01.5 235◦14.8 17◦58.7 37◦11.0 -11◦44.4 56◦33.5 -17◦49.27 26◦31.5 256◦16.4 20◦00.7 250◦15.7 17◦58.2 52◦13.6 -11◦44.4 71◦36.1 -17◦49.28 41◦34.0 271◦15.8 19◦60.0 265◦16.6 17◦57.7 67◦16.1 -11◦44.5 86◦38.7 -17◦49.39 56◦36.5 286◦15.1 19◦59.2 280◦17.5 17◦57.3 82◦18.7 -11◦44.5 101◦41.4 -17◦49.310 71◦38.9 301◦14.5 19◦58.4 295◦18.4 17◦56.8 97◦21.2 -11◦44.6 116◦44.0 -17◦49.311 86◦41.4 316◦13.8 19◦57.7 310◦19.3 17◦56.4 112◦23.8 -11◦44.6 131◦46.6 -17◦49.412 101◦43.9 331◦13.2 19◦56.9 325◦20.2 17◦55.9 127◦26.4 -11◦44.7 146◦49.2 -17◦49.413 116◦46.3 346◦12.5 19◦56.2 340◦21.1 17◦55.5 142◦28.9 -11◦44.7 161◦51.8 -17◦49.514 131◦48.8 1◦11.9 19◦55.4 355◦22.0 17◦55.0 157◦31.5 -11◦44.8 176◦54.4 -17◦49.515 146◦51.3 16◦11.2 19◦54.6 10◦22.9 17◦54.5 172◦34.0 -11◦44.8 191◦57.0 -17◦49.616 161◦53.7 31◦10.6 19◦53.8 25◦23.8 17◦54.1 187◦36.6 -11◦44.8 206◦59.6 -17◦49.617 176◦56.2 46◦09.9 19◦53.1 40◦24.7 17◦53.6 202◦39.1 -11◦44.9 222◦02.2 -17◦49.718 191◦58.7 61◦09.3 19◦52.3 55◦25.6 17◦53.2 217◦41.7 -11◦44.9 237◦04.8 -17◦49.719 207◦01.1 76◦08.7 19◦51.5 70◦26.5 17◦52.7 232◦44.3 -11◦45.0 252◦07.4 -17◦49.820 222◦03.6 91◦08.0 19◦50.8 85◦27.5 17◦52.3 247◦46.8 -11◦45.0 267◦10.1 -17◦49.821 237◦06.0 106◦07.4 19◦50.0 100◦28.4 17◦51.8 262◦49.4 -11◦45.1 282◦12.7 -17◦49.922 252◦08.5 121◦06.7 19◦49.2 115◦29.3 17◦51.3 277◦51.9 -11◦45.1 297◦15.3 -17◦49.923 267◦11.0 136◦06.1 19◦48.4 130◦30.2 17◦50.9 292◦54.5 -11◦45.2 312◦17.9 -17◦49.9Mer.pass.:5:14: v-0.7 d-0.8 m-3.8 v0.9 d-0.5 m1.8 v2.6 d-0.0 m-2.5 v2.6 d-0.0 m0.4

Sun GHA GHA Dec GHA Dec GHA Dec GHA Dec0 282◦13.4 151◦05.4 19◦47.7 145◦31.1 17◦50.4 307◦57.1 -11◦45.2 327◦20.5 -17◦50.01 297◦15.9 166◦04.8 19◦46.9 160◦32.0 17◦50.0 322◦59.6 -11◦45.3 342◦23.1 -17◦50.02 312◦18.4 181◦04.2 19◦46.1 175◦32.9 17◦49.5 338◦02.2 -11◦45.3 357◦25.7 -17◦50.13 327◦20.8 196◦03.5 19◦45.3 190◦33.8 17◦49.0 353◦04.8 -11◦45.4 12◦28.3 -17◦50.14 342◦23.3 211◦02.9 19◦44.5 205◦34.7 17◦48.6 8◦07.3 -11◦45.4 27◦30.9 -17◦50.25 357◦25.8 226◦02.2 19◦43.8 220◦35.6 17◦48.1 23◦09.9 -11◦45.5 42◦33.6 -17◦50.26 12◦28.2 241◦01.6 19◦43.0 235◦36.5 17◦47.7 38◦12.4 -11◦45.5 57◦36.2 -17◦50.37 27◦30.7 256◦00.9 19◦42.2 250◦37.4 17◦47.2 53◦15.0 -11◦45.6 72◦38.8 -17◦50.38 42◦33.1 271◦00.3 19◦41.4 265◦38.4 17◦46.7 68◦17.6 -11◦45.6 87◦41.4 -17◦50.49 57◦35.6 285◦59.7 19◦40.6 280◦39.3 17◦46.3 83◦20.1 -11◦45.7 102◦44.0 -17◦50.410 72◦38.1 300◦59.0 19◦39.8 295◦40.2 17◦45.8 98◦22.7 -11◦45.7 117◦46.6 -17◦50.511 87◦40.5 315◦58.4 19◦39.1 310◦41.1 17◦45.3 113◦25.3 -11◦45.8 132◦49.2 -17◦50.512 102◦43.0 330◦57.8 19◦38.3 325◦42.0 17◦44.9 128◦27.8 -11◦45.8 147◦51.8 -17◦50.513 117◦45.5 345◦57.1 19◦37.5 340◦42.9 17◦44.4 143◦30.4 -11◦45.9 162◦54.5 -17◦50.614 132◦47.9 0◦56.5 19◦36.7 355◦43.8 17◦44.0 158◦33.0 -11◦45.9 177◦57.1 -17◦50.615 147◦50.4 15◦55.9 19◦35.9 10◦44.7 17◦43.5 173◦35.5 -11◦46.0 192◦59.7 -17◦50.716 162◦52.9 30◦55.2 19◦35.1 25◦45.6 17◦43.0 188◦38.1 -11◦46.0 208◦02.3 -17◦50.717 177◦55.3 45◦54.6 19◦34.3 40◦46.5 17◦42.6 203◦40.7 -11◦46.1 223◦04.9 -17◦50.818 192◦57.8 60◦54.0 19◦33.5 55◦47.4 17◦42.1 218◦43.2 -11◦46.1 238◦07.5 -17◦50.819 208◦00.3 75◦53.3 19◦32.7 70◦48.4 17◦41.6 233◦45.8 -11◦46.2 253◦10.1 -17◦50.920 223◦02.7 90◦52.7 19◦31.9 85◦49.3 17◦41.2 248◦48.4 -11◦46.2 268◦12.7 -17◦50.921 238◦05.2 105◦52.1 19◦31.1 100◦50.2 17◦40.7 263◦50.9 -11◦46.3 283◦15.4 -17◦51.022 253◦07.6 120◦51.4 19◦30.3 115◦51.1 17◦40.2 278◦53.5 -11◦46.3 298◦18.0 -17◦51.023 268◦10.1 135◦50.8 19◦29.5 130◦52.0 17◦39.8 293◦56.1 -11◦46.4 313◦20.6 -17◦51.1Mer.pass.:5:10: v-0.6 d-0.8 m-3.8 v0.9 d-0.5 m1.8 v2.6 d-0.0 m-2.5 v2.6 d-0.0 m0.3

Mon GHA GHA Dec GHA Dec GHA Dec GHA Dec0 283◦12.6 150◦50.2 19◦28.7 145◦52.9 17◦39.3 308◦58.6 -11◦46.4 328◦23.2 -17◦51.11 298◦15.0 165◦49.5 19◦27.9 160◦53.8 17◦38.9 324◦01.2 -11◦46.5 343◦25.8 -17◦51.22 313◦17.5 180◦48.9 19◦27.1 175◦54.7 17◦38.4 339◦03.8 -11◦46.5 358◦28.4 -17◦51.23 328◦20.0 195◦48.3 19◦26.3 190◦55.6 17◦37.9 354◦06.3 -11◦46.6 13◦31.0 -17◦51.24 343◦22.4 210◦47.7 19◦25.5 205◦56.6 17◦37.5 9◦08.9 -11◦46.6 28◦33.6 -17◦51.35 358◦24.9 225◦47.0 19◦24.7 220◦57.5 17◦37.0 24◦11.5 -11◦46.7 43◦36.3 -17◦51.36 13◦27.4 240◦46.4 19◦23.9 235◦58.4 17◦36.5 39◦14.0 -11◦46.7 58◦38.9 -17◦51.47 28◦29.8 255◦45.8 19◦23.1 250◦59.3 17◦36.1 54◦16.6 -11◦46.8 73◦41.5 -17◦51.48 43◦32.3 270◦45.2 19◦22.3 266◦00.2 17◦35.6 69◦19.2 -11◦46.8 88◦44.1 -17◦51.59 58◦34.8 285◦44.5 19◦21.5 281◦01.1 17◦35.1 84◦21.8 -11◦46.9 103◦46.7 -17◦51.510 73◦37.2 300◦43.9 19◦20.7 296◦02.0 17◦34.7 99◦24.3 -11◦47.0 118◦49.3 -17◦51.611 88◦39.7 315◦43.3 19◦19.9 311◦02.9 17◦34.2 114◦26.9 -11◦47.0 133◦51.9 -17◦51.612 103◦42.1 330◦42.7 19◦19.1 326◦03.8 17◦33.7 129◦29.5 -11◦47.1 148◦54.6 -17◦51.713 118◦44.6 345◦42.0 19◦18.3 341◦04.8 17◦33.3 144◦32.1 -11◦47.1 163◦57.2 -17◦51.714 133◦47.1 0◦41.4 19◦17.5 356◦05.7 17◦32.8 159◦34.6 -11◦47.2 178◦59.8 -17◦51.815 148◦49.5 15◦40.8 19◦16.7 11◦06.6 17◦32.3 174◦37.2 -11◦47.2 194◦02.4 -17◦51.816 163◦52.0 30◦40.2 19◦15.8 26◦07.5 17◦31.9 189◦39.8 -11◦47.3 209◦05.0 -17◦51.917 178◦54.5 45◦39.6 19◦15.0 41◦08.4 17◦31.4 204◦42.3 -11◦47.3 224◦07.6 -17◦51.918 193◦56.9 60◦38.9 19◦14.2 56◦09.3 17◦30.9 219◦44.9 -11◦47.4 239◦10.3 -17◦52.019 208◦59.4 75◦38.3 19◦13.4 71◦10.2 17◦30.5 234◦47.5 -11◦47.4 254◦12.9 -17◦52.020 224◦01.9 90◦37.7 19◦12.6 86◦11.1 17◦30.0 249◦50.1 -11◦47.5 269◦15.5 -17◦52.121 239◦04.3 105◦37.1 19◦11.8 101◦12.1 17◦29.5 264◦52.6 -11◦47.5 284◦18.1 -17◦52.122 254◦06.8 120◦36.5 19◦10.9 116◦13.0 17◦29.0 279◦55.2 -11◦47.6 299◦20.7 -17◦52.123 269◦09.2 135◦35.8 19◦10.1 131◦13.9 17◦28.6 294◦57.8 -11◦47.6 314◦23.3 -17◦52.2Mer.pass.:5:06: v-0.6 d-0.8 m-3.8 v0.9 d-0.5 m1.8 v2.6 d-0.1 m-2.5 v2.6 d-0.0 m0.3

StarsSHA Dec

Alpheratz 357◦37.7 29◦12.3Ankaa 353◦10.0 -42◦11.2

Schedar 349◦34.2 56◦38.9Diphda 348◦50.1 -17◦52.1

Achernar 335◦22.6 -57◦07.5Hamal 327◦54.6 23◦33.6Polaris 315◦37.6 89◦20.9Akamar 315◦14.2 -40◦13.0Menkar 314◦09.3 4◦10.4Mirfak 308◦32.7 49◦55.9

Aldebaran 290◦43.2 16◦33.1Rigel 281◦06.9 -8◦10.6

Capella 280◦26.6 46◦01.1Bellatrix 278◦26.3 6◦22.1Elnath 278◦05.9 28◦37.4Alnilam 275◦41.0 -1◦11.3

Betelgeuse 270◦55.5 7◦24.6Canopus 263◦54.2 -52◦42.4

Sirius 258◦29.0 -16◦44.5Adara 255◦08.5 -29◦00.1

Procyon 244◦54.1 5◦10.4Pollux 243◦21.1 27◦58.5Avior 234◦16.5 -59◦34.8Suhail 222◦48.8 -43◦31.2

Miaplacidus 221◦39.5 -69◦48.4Alphard 217◦50.8 -8◦45.1Regulus 207◦37.7 11◦51.9Dubhe 193◦44.9 61◦38.5

Denebola 182◦27.9 14◦27.3Gienah 175◦46.5 -17◦39.6Acrux 173◦03.3 -63◦13.3

Gacrux 171◦54.8 -57◦14.2Alioth 166◦15.6 55◦51.0Spica 158◦25.3 -11◦16.3Alcaid 152◦54.2 49◦12.7Hadar 148◦39.8 -60◦28.7

Menkent 148◦00.8 -36◦28.6Arcturus 145◦50.3 19◦04.8

Rigil Kent. 139◦43.8 -60◦55.6Zubenelg. 136◦59.0 -16◦07.8Kochab 137◦19.2 74◦04.4

Alphecca 126◦06.0 26◦38.8Antares 112◦19.0 -26◦28.7

Atria 107◦15.3 -69◦04.0Sabik 102◦05.7 -15◦45.0

Shaula 96◦13.9 -37◦07.1Rasalhague 96◦00.9 12◦32.8

Etamin 90◦43.0 51◦29.3Kaus Aust. 83◦35.9 -34◦22.4

Vega 80◦34.7 38◦48.2Nunki 75◦50.9 -26◦16.1Altair 62◦02.5 8◦55.5

Peacock 53◦09.7 -56◦39.8Deneb 49◦27.3 45◦21.3

Enif 33◦41.4 9◦58.3Alnair 27◦36.3 -46◦51.2

Fomalhaut 15◦17.6 -29◦30.4Scheat 13◦47.8 28◦11.7Markab 13◦32.6 15◦19.1

2021/7/3 SHA Mer.passVenus 230◦06.7 13:55Mars 223◦55.0 14:19

Jupiter 25◦41.4 03:32Saturn 45◦03.6 02:14

2021/7/4 SHA Mer.passVenus 228◦52.0 13:56Mars 223◦17.7 14:17

Jupiter 25◦43.6 03:28Saturn 45◦07.1 02:10

2021/7/5 SHA Mer.passVenus 227◦37.6 13:57Mars 222◦40.3 14:16

Jupiter 25◦46.1 03:24Saturn 45◦10.6 02:06

Horizontal paralaxVenus: 0.1Mars: 0.1

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2021 July 03 to Jul. 05

h Sun MoonSat GHA Dec GHA ν Dec d HP0 178◦57.0 22◦57.4 257◦48.4 16.1 5◦41.4 12.7 54.61 193◦56.9 22◦57.2 272◦23.5 16.1 5◦54.1 12.7 54.62 208◦56.8 22◦57.0 286◦58.6 16.1 6◦06.8 12.6 54.63 223◦56.7 22◦56.8 301◦33.8 16.1 6◦19.4 12.6 54.64 238◦56.6 22◦56.6 316◦08.9 16.1 6◦32.0 12.6 54.55 253◦56.5 22◦56.4 330◦44.0 16.1 6◦44.6 12.6 54.56 268◦56.3 22◦56.2 345◦19.1 16.1 6◦57.1 12.5 54.57 283◦56.2 22◦56.0 359◦54.2 16.1 7◦09.6 12.5 54.58 298◦56.1 22◦55.8 14◦29.3 16.1 7◦22.1 12.5 54.59 313◦56.0 22◦55.5 29◦04.4 16.1 7◦34.5 12.4 54.510 328◦55.9 22◦55.3 43◦39.4 16.1 7◦46.9 12.4 54.511 343◦55.8 22◦55.1 58◦14.5 16.0 7◦59.3 12.3 54.412 358◦55.7 22◦54.9 72◦49.5 16.0 8◦11.6 12.3 54.413 13◦55.5 22◦54.7 87◦24.5 16.0 8◦23.9 12.3 54.414 28◦55.4 22◦54.5 101◦59.5 16.0 8◦36.2 12.2 54.415 43◦55.3 22◦54.3 116◦34.5 16.0 8◦48.4 12.2 54.416 58◦55.2 22◦54.1 131◦09.5 16.0 9◦00.6 12.2 54.417 73◦55.1 22◦53.9 145◦44.4 15.9 9◦12.7 12.1 54.418 88◦55.0 22◦53.6 160◦19.3 15.9 9◦24.8 12.1 54.419 103◦54.9 22◦53.4 174◦54.2 15.9 9◦36.9 12.0 54.320 118◦54.8 22◦53.2 189◦29.1 15.9 9◦48.9 12.0 54.321 133◦54.6 22◦53.0 204◦04.0 15.8 10◦00.9 12.0 54.322 148◦54.5 22◦52.8 218◦38.8 15.8 10◦12.8 11.9 54.323 163◦54.4 22◦52.6 233◦13.6 15.8 10◦24.7 11.9 54.3

SD.=15.7 d=-0.2 S.D.=14.9

Sun GHA Dec GHA ν Dec d HP0 178◦54.3 22◦52.3 247◦48.4 15.8 10◦36.5 11.8 54.31 193◦54.2 22◦52.1 262◦23.1 15.7 10◦48.4 11.8 54.32 208◦54.1 22◦51.9 276◦57.8 15.7 11◦00.1 11.7 54.33 223◦54.0 22◦51.7 291◦32.5 15.7 11◦11.8 11.7 54.34 238◦53.9 22◦51.5 306◦07.2 15.6 11◦23.5 11.6 54.25 253◦53.7 22◦51.2 320◦41.8 15.6 11◦35.1 11.6 54.26 268◦53.6 22◦51.0 335◦16.4 15.6 11◦46.7 11.6 54.27 283◦53.5 22◦50.8 349◦51.0 15.6 11◦58.2 11.5 54.28 298◦53.4 22◦50.6 4◦25.5 15.5 12◦09.7 11.5 54.29 313◦53.3 22◦50.4 19◦00.0 15.5 12◦21.1 11.4 54.210 328◦53.2 22◦50.1 33◦34.5 15.4 12◦32.5 11.4 54.211 343◦53.1 22◦49.9 48◦08.9 15.4 12◦43.8 11.3 54.212 358◦53.0 22◦49.7 62◦43.3 15.4 12◦55.1 11.2 54.213 13◦52.9 22◦49.5 77◦17.7 15.3 13◦06.3 11.2 54.214 28◦52.7 22◦49.2 91◦52.0 15.3 13◦17.5 11.1 54.215 43◦52.6 22◦49.0 106◦26.3 15.3 13◦28.6 11.1 54.216 58◦52.5 22◦48.8 121◦00.5 15.2 13◦39.7 11.0 54.217 73◦52.4 22◦48.5 135◦34.7 15.2 13◦50.7 11.0 54.218 88◦52.3 22◦48.3 150◦08.9 15.1 14◦01.6 10.9 54.119 103◦52.2 22◦48.1 164◦43.0 15.1 14◦12.5 10.9 54.120 118◦52.1 22◦47.8 179◦17.1 15.1 14◦23.4 10.8 54.121 133◦52.0 22◦47.6 193◦51.1 15.0 14◦34.2 10.8 54.122 148◦51.9 22◦47.4 208◦25.1 15.0 14◦44.9 10.7 54.123 163◦51.8 22◦47.1 222◦59.1 14.9 14◦55.6 10.6 54.1

SD.=15.7 d=-0.2 S.D.=14.8

Mon GHA Dec GHA ν Dec d HP0 178◦51.6 22◦46.9 237◦33.0 14.9 15◦06.2 10.6 54.11 193◦51.5 22◦46.7 252◦06.8 14.8 15◦16.7 10.5 54.12 208◦51.4 22◦46.4 266◦40.6 14.8 15◦27.2 10.5 54.13 223◦51.3 22◦46.2 281◦14.4 14.7 15◦37.6 10.4 54.14 238◦51.2 22◦46.0 295◦48.1 14.7 15◦48.0 10.3 54.15 253◦51.1 22◦45.7 310◦21.8 14.6 15◦58.3 10.3 54.16 268◦51.0 22◦45.5 324◦55.4 14.6 16◦08.5 10.2 54.17 283◦50.9 22◦45.2 339◦28.9 14.5 16◦18.7 10.1 54.18 298◦50.8 22◦45.0 354◦02.5 14.5 16◦28.8 10.1 54.19 313◦50.7 22◦44.8 8◦35.9 14.4 16◦38.8 10.0 54.110 328◦50.6 22◦44.5 23◦09.3 14.4 16◦48.8 9.9 54.111 343◦50.5 22◦44.3 37◦42.7 14.3 16◦58.7 9.9 54.112 358◦50.3 22◦44.0 52◦16.0 14.3 17◦08.5 9.8 54.113 13◦50.2 22◦43.8 66◦49.3 14.2 17◦18.2 9.7 54.114 28◦50.1 22◦43.6 81◦22.5 14.2 17◦27.9 9.7 54.115 43◦50.0 22◦43.3 95◦55.6 14.1 17◦37.6 9.6 54.116 58◦49.9 22◦43.1 110◦28.7 14.1 17◦47.1 9.5 54.117 73◦49.8 22◦42.8 125◦01.7 14.0 17◦56.6 9.4 54.118 88◦49.7 22◦42.6 139◦34.7 14.0 18◦06.0 9.4 54.119 103◦49.6 22◦42.3 154◦07.7 13.9 18◦15.3 9.3 54.120 118◦49.5 22◦42.1 168◦40.5 13.8 18◦24.6 9.2 54.121 133◦49.4 22◦41.8 183◦13.3 13.8 18◦33.7 9.1 54.122 148◦49.3 22◦41.6 197◦46.1 13.7 18◦42.8 9.1 54.123 163◦49.2 22◦41.3 212◦18.8 13.7 18◦51.9 9.0 54.1

SD.=15.7 d=-0.2 S.D.=14.8

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 –:– –:– –:– –:– –:– –:–70 –:– –:– –:– –:– –:– –:–68 –:– –:– –:– –:– –:– –:–66 –:– –:– 00:43 23:21 –:– –:–64 –:– –:– 01:48 22:20 –:– –:–62 –:– –:– 02:21 21:46 –:– –:–60 –:– 01:12 02:46 21:22 22:55 –:–58 –:– 01:53 03:05 21:03 22:14 –:–56 –:– 02:21 03:21 20:47 21:47 –:–54 01:06 02:42 03:35 20:33 21:26 23:0152 01:44 02:59 03:47 20:22 21:09 22:2350 02:10 03:13 03:57 20:11 20:55 21:5845 02:53 03:42 04:19 19:50 20:26 21:1540 03:23 04:04 04:37 19:32 20:05 20:4635 03:45 04:22 04:51 19:18 19:47 20:2330 04:03 04:36 05:04 19:05 19:32 20:0520 04:32 05:01 05:25 18:44 19:08 19:3710 04:54 05:21 05:44 18:25 18:48 19:150 05:12 05:38 06:01 18:08 18:31 18:57-10 05:29 05:55 06:18 17:51 18:14 18:40-20 05:45 06:12 06:36 17:33 17:57 18:24-30 06:00 06:30 06:56 17:13 17:39 18:09-35 06:09 06:40 07:08 17:01 17:29 18:00-40 06:18 06:52 07:22 16:47 17:17 17:51-45 06:28 07:05 07:39 16:31 17:04 17:41-50 06:39 07:20 07:59 16:11 16:49 17:30-52 06:44 07:28 08:08 16:01 16:42 17:25-54 06:50 07:35 08:19 15:50 16:34 17:19-56 06:56 07:44 08:31 15:38 16:25 17:14-58 07:02 07:54 08:45 15:24 16:15 17:07-60 07:09 08:05 09:02 15:08 16:04 17:00

Moonrise MoonsetLat. Sat Sun Mon Sat Sun Mon72 23:11 22:31 –:– 15:07 17:15 –:–70 23:27 23:01 22:17 14:53 16:46 19:0168 23:40 23:24 23:02 14:42 16:24 18:1766 23:50 23:42 23:31 14:33 16:08 17:4964 00:02 23:56 23:54 14:25 15:54 17:2762 00:06 00:07 00:09 14:18 15:43 17:1060 00:10 00:14 00:19 14:13 15:33 16:5558 00:13 00:20 00:28 14:08 15:25 16:4356 00:16 00:25 00:36 14:03 15:18 16:3354 00:18 00:30 00:44 13:59 15:11 16:2352 00:20 00:34 00:50 13:56 15:05 16:1550 00:22 00:38 00:56 13:53 15:00 16:0845 00:27 00:47 01:09 13:46 14:49 15:5240 00:31 00:54 01:19 13:40 14:39 15:3935 00:34 01:00 01:28 13:35 14:31 15:2830 00:37 01:06 01:36 13:31 14:24 15:1920 00:42 01:15 01:50 13:23 14:12 15:0310 00:46 01:24 02:03 13:16 14:02 14:480 00:51 01:32 02:14 13:10 13:52 14:35-10 00:55 01:40 02:26 13:04 13:42 14:22-20 00:59 01:48 02:38 12:58 13:32 14:08-30 01:05 01:58 02:52 12:50 13:20 13:52-35 01:08 02:04 03:01 12:46 13:13 13:43-40 01:11 02:11 03:10 12:41 13:05 13:32-45 01:15 02:18 03:21 12:36 12:56 13:20-50 01:20 02:28 03:35 12:29 12:46 13:05-52 01:22 02:32 03:42 12:26 12:41 12:58-54 01:25 02:37 03:49 12:23 12:35 12:50-56 01:28 02:42 03:57 12:19 12:29 12:42-58 01:31 02:48 04:06 12:15 12:22 12:32-60 01:34 02:55 04:16 12:10 12:15 12:21

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower3 04:12 04:17 12:04 07:00 19:20 23(35%)4 04:23 04:28 12:04 07:41 20:02 24(26%)5 04:33 04:39 12:04 08:24 20:46 25(18%)

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July 06, 07 ,08 (Tue., Wed., Thu.)Aries Venus Mars Jupiter Saturn

Tue GHA GHA Dec GHA Dec GHA Dec GHA Dec0 284◦11.7 150◦35.2 19◦09.3 146◦14.8 17◦28.1 310◦00.4 -11◦47.7 329◦25.9 -17◦52.21 299◦14.2 165◦34.6 19◦08.5 161◦15.7 17◦27.6 325◦02.9 -11◦47.8 344◦28.6 -17◦52.32 314◦16.6 180◦34.0 19◦07.7 176◦16.6 17◦27.2 340◦05.5 -11◦47.8 359◦31.2 -17◦52.33 329◦19.1 195◦33.4 19◦06.8 191◦17.5 17◦26.7 355◦08.1 -11◦47.9 14◦33.8 -17◦52.44 344◦21.6 210◦32.8 19◦06.0 206◦18.4 17◦26.2 10◦10.7 -11◦47.9 29◦36.4 -17◦52.45 359◦24.0 225◦32.2 19◦05.2 221◦19.4 17◦25.8 25◦13.3 -11◦48.0 44◦39.0 -17◦52.56 14◦26.5 240◦31.5 19◦04.4 236◦20.3 17◦25.3 40◦15.8 -11◦48.0 59◦41.6 -17◦52.57 29◦29.0 255◦30.9 19◦03.5 251◦21.2 17◦24.8 55◦18.4 -11◦48.1 74◦44.3 -17◦52.68 44◦31.4 270◦30.3 19◦02.7 266◦22.1 17◦24.3 70◦21.0 -11◦48.1 89◦46.9 -17◦52.69 59◦33.9 285◦29.7 19◦01.9 281◦23.0 17◦23.9 85◦23.6 -11◦48.2 104◦49.5 -17◦52.710 74◦36.4 300◦29.1 19◦01.1 296◦23.9 17◦23.4 100◦26.1 -11◦48.2 119◦52.1 -17◦52.711 89◦38.8 315◦28.5 19◦00.2 311◦24.8 17◦22.9 115◦28.7 -11◦48.3 134◦54.7 -17◦52.812 104◦41.3 330◦27.9 18◦59.4 326◦25.8 17◦22.5 130◦31.3 -11◦48.4 149◦57.3 -17◦52.813 119◦43.7 345◦27.3 18◦58.6 341◦26.7 17◦22.0 145◦33.9 -11◦48.4 164◦60.0 -17◦52.914 134◦46.2 0◦26.7 18◦57.7 356◦27.6 17◦21.5 160◦36.5 -11◦48.5 180◦02.6 -17◦52.915 149◦48.7 15◦26.1 18◦56.9 11◦28.5 17◦21.0 175◦39.0 -11◦48.5 195◦05.2 -17◦53.016 164◦51.1 30◦25.4 18◦56.1 26◦29.4 17◦20.6 190◦41.6 -11◦48.6 210◦07.8 -17◦53.017 179◦53.6 45◦24.8 18◦55.2 41◦30.3 17◦20.1 205◦44.2 -11◦48.6 225◦10.4 -17◦53.118 194◦56.1 60◦24.2 18◦54.4 56◦31.2 17◦19.6 220◦46.8 -11◦48.7 240◦13.0 -17◦53.119 209◦58.5 75◦23.6 18◦53.6 71◦32.2 17◦19.1 235◦49.4 -11◦48.7 255◦15.7 -17◦53.120 225◦01.0 90◦23.0 18◦52.7 86◦33.1 17◦18.7 250◦52.0 -11◦48.8 270◦18.3 -17◦53.221 240◦03.5 105◦22.4 18◦51.9 101◦34.0 17◦18.2 265◦54.5 -11◦48.9 285◦20.9 -17◦53.222 255◦05.9 120◦21.8 18◦51.0 116◦34.9 17◦17.7 280◦57.1 -11◦48.9 300◦23.5 -17◦53.323 270◦08.4 135◦21.2 18◦50.2 131◦35.8 17◦17.3 295◦59.7 -11◦49.0 315◦26.1 -17◦53.3Mer.pass.:5:02: v-0.6 d-0.8 m-3.8 v0.9 d-0.5 m1.8 v2.6 d-0.1 m-2.5 v2.6 d-0.0 m0.3

Wed GHA GHA Dec GHA Dec GHA Dec GHA Dec0 285◦10.9 150◦20.6 18◦49.4 146◦36.7 17◦16.8 311◦02.3 -11◦49.0 330◦28.8 -17◦53.41 300◦13.3 165◦20.0 18◦48.5 161◦37.6 17◦16.3 326◦04.9 -11◦49.1 345◦31.4 -17◦53.42 315◦15.8 180◦19.4 18◦47.7 176◦38.6 17◦15.8 341◦07.5 -11◦49.1 0◦34.0 -17◦53.53 330◦18.2 195◦18.8 18◦46.8 191◦39.5 17◦15.4 356◦10.0 -11◦49.2 15◦36.6 -17◦53.54 345◦20.7 210◦18.2 18◦46.0 206◦40.4 17◦14.9 11◦12.6 -11◦49.3 30◦39.2 -17◦53.65 0◦23.2 225◦17.6 18◦45.1 221◦41.3 17◦14.4 26◦15.2 -11◦49.3 45◦41.9 -17◦53.66 15◦25.6 240◦17.0 18◦44.3 236◦42.2 17◦13.9 41◦17.8 -11◦49.4 60◦44.5 -17◦53.77 30◦28.1 255◦16.4 18◦43.4 251◦43.1 17◦13.5 56◦20.4 -11◦49.4 75◦47.1 -17◦53.78 45◦30.6 270◦15.8 18◦42.6 266◦44.1 17◦13.0 71◦23.0 -11◦49.5 90◦49.7 -17◦53.89 60◦33.0 285◦15.2 18◦41.7 281◦45.0 17◦12.5 86◦25.6 -11◦49.5 105◦52.3 -17◦53.810 75◦35.5 300◦14.6 18◦40.9 296◦45.9 17◦12.0 101◦28.1 -11◦49.6 120◦54.9 -17◦53.911 90◦38.0 315◦14.0 18◦40.0 311◦46.8 17◦11.6 116◦30.7 -11◦49.7 135◦57.6 -17◦53.912 105◦40.4 330◦13.4 18◦39.2 326◦47.7 17◦11.1 131◦33.3 -11◦49.7 151◦00.2 -17◦54.013 120◦42.9 345◦12.8 18◦38.3 341◦48.6 17◦10.6 146◦35.9 -11◦49.8 166◦02.8 -17◦54.014 135◦45.4 0◦12.2 18◦37.5 356◦49.6 17◦10.1 161◦38.5 -11◦49.8 181◦05.4 -17◦54.115 150◦47.8 15◦11.6 18◦36.6 11◦50.5 17◦09.6 176◦41.1 -11◦49.9 196◦08.0 -17◦54.116 165◦50.3 30◦11.1 18◦35.8 26◦51.4 17◦09.2 191◦43.7 -11◦50.0 211◦10.7 -17◦54.217 180◦52.7 45◦10.5 18◦34.9 41◦52.3 17◦08.7 206◦46.3 -11◦50.0 226◦13.3 -17◦54.218 195◦55.2 60◦09.9 18◦34.1 56◦53.2 17◦08.2 221◦48.8 -11◦50.1 241◦15.9 -17◦54.319 210◦57.7 75◦09.3 18◦33.2 71◦54.1 17◦07.7 236◦51.4 -11◦50.1 256◦18.5 -17◦54.320 226◦00.1 90◦08.7 18◦32.3 86◦55.1 17◦07.3 251◦54.0 -11◦50.2 271◦21.1 -17◦54.421 241◦02.6 105◦08.1 18◦31.5 101◦56.0 17◦06.8 266◦56.6 -11◦50.2 286◦23.8 -17◦54.422 256◦05.1 120◦07.5 18◦30.6 116◦56.9 17◦06.3 281◦59.2 -11◦50.3 301◦26.4 -17◦54.423 271◦07.5 135◦06.9 18◦29.8 131◦57.8 17◦05.8 297◦01.8 -11◦50.4 316◦29.0 -17◦54.5Mer.pass.:4:58: v-0.6 d-0.8 m-3.8 v0.9 d-0.5 m1.8 v2.6 d-0.1 m-2.5 v2.6 d-0.0 m0.3

Thu GHA GHA Dec GHA Dec GHA Dec GHA Dec0 286◦10.0 150◦06.3 18◦28.9 146◦58.7 17◦05.3 312◦04.4 -11◦50.4 331◦31.6 -17◦54.51 301◦12.5 165◦05.7 18◦28.0 161◦59.6 17◦04.9 327◦07.0 -11◦50.5 346◦34.2 -17◦54.62 316◦14.9 180◦05.2 18◦27.2 177◦00.6 17◦04.4 342◦09.6 -11◦50.5 1◦36.9 -17◦54.63 331◦17.4 195◦04.6 18◦26.3 192◦01.5 17◦03.9 357◦12.2 -11◦50.6 16◦39.5 -17◦54.74 346◦19.9 210◦04.0 18◦25.4 207◦02.4 17◦03.4 12◦14.8 -11◦50.7 31◦42.1 -17◦54.75 1◦22.3 225◦03.4 18◦24.6 222◦03.3 17◦02.9 27◦17.3 -11◦50.7 46◦44.7 -17◦54.86 16◦24.8 240◦02.8 18◦23.7 237◦04.2 17◦02.5 42◦19.9 -11◦50.8 61◦47.4 -17◦54.87 31◦27.2 255◦02.2 18◦22.8 252◦05.2 17◦02.0 57◦22.5 -11◦50.8 76◦50.0 -17◦54.98 46◦29.7 270◦01.6 18◦22.0 267◦06.1 17◦01.5 72◦25.1 -11◦50.9 91◦52.6 -17◦54.99 61◦32.2 285◦01.1 18◦21.1 282◦07.0 17◦01.0 87◦27.7 -11◦51.0 106◦55.2 -17◦55.010 76◦34.6 300◦00.5 18◦20.2 297◦07.9 17◦00.5 102◦30.3 -11◦51.0 121◦57.8 -17◦55.011 91◦37.1 314◦59.9 18◦19.4 312◦08.8 17◦00.1 117◦32.9 -11◦51.1 137◦00.5 -17◦55.112 106◦39.6 329◦59.3 18◦18.5 327◦09.7 16◦59.6 132◦35.5 -11◦51.1 152◦03.1 -17◦55.113 121◦42.0 344◦58.7 18◦17.6 342◦10.7 16◦59.1 147◦38.1 -11◦51.2 167◦05.7 -17◦55.214 136◦44.5 359◦58.2 18◦16.7 357◦11.6 16◦58.6 162◦40.7 -11◦51.3 182◦08.3 -17◦55.215 151◦47.0 14◦57.6 18◦15.9 12◦12.5 16◦58.1 177◦43.3 -11◦51.3 197◦10.9 -17◦55.316 166◦49.4 29◦57.0 18◦15.0 27◦13.4 16◦57.7 192◦45.9 -11◦51.4 212◦13.6 -17◦55.317 181◦51.9 44◦56.4 18◦14.1 42◦14.3 16◦57.2 207◦48.5 -11◦51.4 227◦16.2 -17◦55.418 196◦54.3 59◦55.8 18◦13.2 57◦15.3 16◦56.7 222◦51.1 -11◦51.5 242◦18.8 -17◦55.419 211◦56.8 74◦55.3 18◦12.3 72◦16.2 16◦56.2 237◦53.7 -11◦51.6 257◦21.4 -17◦55.520 226◦59.3 89◦54.7 18◦11.5 87◦17.1 16◦55.7 252◦56.3 -11◦51.6 272◦24.1 -17◦55.521 242◦01.7 104◦54.1 18◦10.6 102◦18.0 16◦55.2 267◦58.9 -11◦51.7 287◦26.7 -17◦55.622 257◦04.2 119◦53.5 18◦09.7 117◦18.9 16◦54.8 283◦01.5 -11◦51.8 302◦29.3 -17◦55.623 272◦06.7 134◦53.0 18◦08.8 132◦19.9 16◦54.3 298◦04.1 -11◦51.8 317◦31.9 -17◦55.7Mer.pass.:4:54: v-0.6 d-0.9 m-3.8 v0.9 d-0.5 m1.8 v2.6 d-0.1 m-2.5 v2.6 d-0.0 m0.3

StarsSHA Dec

Alpheratz 357◦37.6 29◦12.3Ankaa 353◦10.0 -42◦11.2

Schedar 349◦34.2 56◦39.0Diphda 348◦50.1 -17◦52.1

Achernar 335◦22.5 -57◦07.5Hamal 327◦54.5 23◦33.7Polaris 315◦36.1 89◦20.9Akamar 315◦14.2 -40◦13.0Menkar 314◦09.3 4◦10.4Mirfak 308◦32.6 49◦55.9

Aldebaran 290◦43.2 16◦33.1Rigel 281◦06.9 -8◦10.6

Capella 280◦26.6 46◦01.1Bellatrix 278◦26.3 6◦22.1Elnath 278◦05.9 28◦37.4Alnilam 275◦41.0 -1◦11.3

Betelgeuse 270◦55.5 7◦24.6Canopus 263◦54.2 -52◦42.4

Sirius 258◦29.0 -16◦44.5Adara 255◦08.5 -29◦00.1

Procyon 244◦54.1 5◦10.4Pollux 243◦21.1 27◦58.5Avior 234◦16.5 -59◦34.7Suhail 222◦48.8 -43◦31.2

Miaplacidus 221◦39.6 -69◦48.4Alphard 217◦50.8 -8◦45.1Regulus 207◦37.7 11◦51.9Dubhe 193◦44.9 61◦38.5

Denebola 182◦27.9 14◦27.3Gienah 175◦46.5 -17◦39.6Acrux 173◦03.3 -63◦13.3

Gacrux 171◦54.8 -57◦14.2Alioth 166◦15.6 55◦51.0Spica 158◦25.3 -11◦16.3Alcaid 152◦54.2 49◦12.7Hadar 148◦39.8 -60◦28.7

Menkent 148◦00.8 -36◦28.6Arcturus 145◦50.3 19◦04.8

Rigil Kent. 139◦43.9 -60◦55.6Zubenelg. 136◦59.0 -16◦07.8Kochab 137◦19.3 74◦04.4

Alphecca 126◦06.0 26◦38.8Antares 112◦19.0 -26◦28.7

Atria 107◦15.3 -69◦04.0Sabik 102◦05.7 -15◦45.0

Shaula 96◦13.9 -37◦07.1Rasalhague 96◦00.9 12◦32.8

Etamin 90◦43.0 51◦29.3Kaus Aust. 83◦35.9 -34◦22.4

Vega 80◦34.7 38◦48.2Nunki 75◦50.9 -26◦16.1Altair 62◦02.5 8◦55.5

Peacock 53◦09.7 -56◦39.8Deneb 49◦27.3 45◦21.3

Enif 33◦41.4 9◦58.4Alnair 27◦36.3 -46◦51.2

Fomalhaut 15◦17.6 -29◦30.4Scheat 13◦47.8 28◦11.8Markab 13◦32.6 15◦19.1

2021/7/6 SHA Mer.passVenus 226◦23.5 13:58Mars 222◦03.1 14:14

Jupiter 25◦48.7 03:19Saturn 45◦14.2 02:02

2021/7/7 SHA Mer.passVenus 225◦09.8 13:59Mars 221◦25.9 14:13

Jupiter 25◦51.4 03:15Saturn 45◦17.9 01:58

2021/7/8 SHA Mer.passVenus 223◦56.3 14:00Mars 220◦48.7 14:11

Jupiter 25◦54.4 03:11Saturn 45◦21.6 01:54

Horizontal paralaxVenus: 0.1Mars: 0.1

126

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2021 July 06 to Jul. 08

h Sun MoonTue GHA Dec GHA ν Dec d HP0 178◦49.1 22◦41.1 226◦51.4 13.6 19◦00.8 8.9 54.11 193◦49.0 22◦40.8 241◦24.0 13.6 19◦09.7 8.8 54.12 208◦48.9 22◦40.6 255◦56.5 13.5 19◦18.5 8.7 54.13 223◦48.8 22◦40.3 270◦29.0 13.4 19◦27.2 8.7 54.14 238◦48.7 22◦40.1 285◦01.4 13.4 19◦35.8 8.6 54.15 253◦48.5 22◦39.8 299◦33.8 13.3 19◦44.4 8.5 54.16 268◦48.4 22◦39.6 314◦06.0 13.3 19◦52.8 8.4 54.17 283◦48.3 22◦39.3 328◦38.3 13.2 20◦01.2 8.3 54.18 298◦48.2 22◦39.0 343◦10.4 13.1 20◦09.5 8.3 54.19 313◦48.1 22◦38.8 357◦42.5 13.1 20◦17.7 8.2 54.110 328◦48.0 22◦38.5 12◦14.6 13.0 20◦25.8 8.1 54.111 343◦47.9 22◦38.3 26◦46.6 13.0 20◦33.9 8.0 54.112 358◦47.8 22◦38.0 41◦18.5 12.9 20◦41.8 7.9 54.113 13◦47.7 22◦37.7 55◦50.3 12.8 20◦49.7 7.8 54.214 28◦47.6 22◦37.5 70◦22.1 12.8 20◦57.5 7.7 54.215 43◦47.5 22◦37.2 84◦53.9 12.7 21◦05.2 7.6 54.216 58◦47.4 22◦37.0 99◦25.6 12.6 21◦12.8 7.6 54.217 73◦47.3 22◦36.7 113◦57.2 12.6 21◦20.3 7.5 54.218 88◦47.2 22◦36.4 128◦28.7 12.5 21◦27.7 7.4 54.219 103◦47.1 22◦36.2 143◦00.2 12.5 21◦35.0 7.3 54.220 118◦47.0 22◦35.9 157◦31.7 12.4 21◦42.2 7.2 54.221 133◦46.9 22◦35.6 172◦03.0 12.3 21◦49.4 7.1 54.222 148◦46.8 22◦35.4 186◦34.3 12.3 21◦56.4 7.0 54.223 163◦46.7 22◦35.1 201◦05.6 12.2 22◦03.3 6.9 54.2

SD.=15.7 d=-0.3 S.D.=14.8

Wed GHA Dec GHA ν Dec d HP0 178◦46.6 22◦34.8 215◦36.8 12.2 22◦10.2 6.8 54.21 193◦46.5 22◦34.6 230◦07.9 12.1 22◦16.9 6.7 54.22 208◦46.4 22◦34.3 244◦39.0 12.0 22◦23.6 6.6 54.23 223◦46.3 22◦34.0 259◦10.0 12.0 22◦30.1 6.5 54.24 238◦46.2 22◦33.8 273◦40.9 11.9 22◦36.6 6.4 54.25 253◦46.1 22◦33.5 288◦11.8 11.9 22◦42.9 6.3 54.36 268◦46.0 22◦33.2 302◦42.6 11.8 22◦49.2 6.2 54.37 283◦45.9 22◦33.0 317◦13.4 11.7 22◦55.3 6.1 54.38 298◦45.8 22◦32.7 331◦44.1 11.7 23◦01.4 6.0 54.39 313◦45.7 22◦32.4 346◦14.7 11.6 23◦07.3 5.9 54.310 328◦45.6 22◦32.1 0◦45.3 11.6 23◦13.1 5.8 54.311 343◦45.5 22◦31.9 15◦15.8 11.5 23◦18.9 5.7 54.312 358◦45.4 22◦31.6 29◦46.3 11.4 23◦24.5 5.6 54.313 13◦45.3 22◦31.3 44◦16.7 11.4 23◦30.0 5.5 54.314 28◦45.2 22◦31.0 58◦47.0 11.3 23◦35.4 5.4 54.315 43◦45.1 22◦30.8 73◦17.3 11.3 23◦40.7 5.2 54.316 58◦45.0 22◦30.5 87◦47.5 11.2 23◦45.9 5.1 54.417 73◦44.9 22◦30.2 102◦17.7 11.1 23◦51.0 5.0 54.418 88◦44.8 22◦29.9 116◦47.8 11.1 23◦56.0 4.9 54.419 103◦44.7 22◦29.6 131◦17.9 11.0 24◦00.8 4.8 54.420 118◦44.6 22◦29.4 145◦47.9 11.0 24◦05.6 4.7 54.421 133◦44.5 22◦29.1 160◦17.9 10.9 24◦10.2 4.6 54.422 148◦44.4 22◦28.8 174◦47.8 10.9 24◦14.7 4.5 54.423 163◦44.3 22◦28.5 189◦17.6 10.8 24◦19.1 4.4 54.4

SD.=15.7 d=-0.3 S.D.=14.8

Thu GHA Dec GHA ν Dec d HP0 178◦44.2 22◦28.2 203◦47.4 10.8 24◦23.4 4.2 54.41 193◦44.1 22◦27.9 218◦17.2 10.7 24◦27.6 4.1 54.52 208◦44.0 22◦27.7 232◦46.8 10.7 24◦31.7 4.0 54.53 223◦43.9 22◦27.4 247◦16.5 10.6 24◦35.6 3.9 54.54 238◦43.8 22◦27.1 261◦46.1 10.6 24◦39.5 3.8 54.55 253◦43.7 22◦26.8 276◦15.6 10.5 24◦43.2 3.7 54.56 268◦43.6 22◦26.5 290◦45.1 10.5 24◦46.8 3.5 54.57 283◦43.5 22◦26.2 305◦14.5 10.4 24◦50.2 3.4 54.58 298◦43.4 22◦25.9 319◦43.9 10.4 24◦53.6 3.3 54.59 313◦43.3 22◦25.6 334◦13.3 10.3 24◦56.8 3.2 54.610 328◦43.2 22◦25.3 348◦42.6 10.3 24◦59.9 3.1 54.611 343◦43.1 22◦25.1 3◦11.9 10.2 25◦02.9 2.9 54.612 358◦43.0 22◦24.8 17◦41.1 10.2 25◦05.8 2.8 54.613 13◦42.9 22◦24.5 32◦10.2 10.2 25◦08.6 2.7 54.614 28◦42.8 22◦24.2 46◦39.4 10.1 25◦11.2 2.6 54.615 43◦42.7 22◦23.9 61◦08.5 10.1 25◦13.7 2.4 54.616 58◦42.6 22◦23.6 75◦37.5 10.0 25◦16.1 2.3 54.617 73◦42.6 22◦23.3 90◦06.5 10.0 25◦18.3 2.2 54.718 88◦42.5 22◦23.0 104◦35.5 10.0 25◦20.5 2.1 54.719 103◦42.4 22◦22.7 119◦04.4 9.9 25◦22.5 1.9 54.720 118◦42.3 22◦22.4 133◦33.3 9.9 25◦24.3 1.8 54.721 133◦42.2 22◦22.1 148◦02.2 9.8 25◦26.1 1.7 54.722 148◦42.1 22◦21.8 162◦31.0 9.8 25◦27.7 1.6 54.723 163◦42.0 22◦21.5 176◦59.8 9.8 25◦29.2 1.4 54.7

SD.=15.7 d=-0.3 S.D.=14.9

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 –:– –:– –:– –:– –:– –:–70 –:– –:– –:– –:– –:– –:–68 –:– –:– –:– –:– –:– –:–66 –:– –:– 00:59 23:07 –:– –:–64 –:– –:– 01:54 22:14 –:– –:–62 –:– –:– 02:27 21:42 –:– –:–60 –:– 01:20 02:50 21:19 22:47 –:–58 –:– 01:59 03:09 21:00 22:09 –:–56 –:– 02:25 03:25 20:45 21:44 –:–54 01:14 02:45 03:38 20:31 21:24 22:5452 01:49 03:02 03:49 20:20 21:07 22:1950 02:14 03:16 03:60 20:10 20:53 21:5545 02:56 03:44 04:21 19:48 20:25 21:1340 03:25 04:06 04:38 19:31 20:04 20:4535 03:47 04:23 04:53 19:17 19:46 20:2330 04:05 04:38 05:05 19:05 19:32 20:0520 04:33 05:02 05:26 18:44 19:08 19:3710 04:55 05:22 05:44 18:25 18:48 19:150 05:13 05:39 06:01 18:09 18:31 18:57-10 05:29 05:55 06:18 17:52 18:15 18:41-20 05:45 06:12 06:36 17:34 17:58 18:25-30 06:00 06:30 06:56 17:14 17:40 18:10-35 06:09 06:40 07:08 17:02 17:30 18:01-40 06:17 06:51 07:22 16:49 17:19 17:53-45 06:27 07:04 07:38 16:33 17:06 17:43-50 06:38 07:19 07:57 16:13 16:51 17:32-52 06:43 07:26 08:07 16:04 16:44 17:27-54 06:48 07:34 08:17 15:53 16:36 17:22-56 06:54 07:43 08:29 15:41 16:28 17:16-58 07:00 07:52 08:43 15:28 16:18 17:10-60 07:07 08:03 08:59 15:12 16:07 17:03

Moonrise MoonsetLat. Tue Wed Thu Tue Wed Thu72 –:– –:– –:– –:– –:– –:–70 –:– –:– –:– –:– –:– –:–68 22:01 –:– –:– 20:53 –:– –:–66 23:16 –:– –:– 19:40 –:– –:–64 23:52 23:54 –:– 19:04 20:43 22:1762 00:12 00:19 00:33 18:38 20:04 21:2160 00:27 00:39 01:00 18:18 19:37 20:4858 00:40 00:56 01:22 18:01 19:16 20:2356 00:51 01:11 01:39 17:47 18:59 20:0454 01:01 01:23 01:54 17:35 18:45 19:4852 01:10 01:34 02:07 17:25 18:32 19:3450 01:17 01:44 02:18 17:15 18:21 19:2145 01:34 02:05 02:42 16:55 17:57 18:5640 01:48 02:22 03:01 16:39 17:39 18:3635 01:60 02:36 03:17 16:26 17:23 18:1930 02:10 02:48 03:31 16:14 17:10 18:0520 02:28 03:09 03:55 15:54 16:47 17:4010 02:44 03:28 04:15 15:37 16:27 17:190 02:58 03:45 04:35 15:21 16:09 16:59-10 03:13 04:03 04:54 15:05 15:50 16:39-20 03:29 04:21 05:15 14:47 15:31 16:18-30 03:47 04:43 05:39 14:28 15:08 15:54-35 03:58 04:56 05:53 14:16 14:55 15:39-40 04:10 05:10 06:09 14:03 14:39 15:22-45 04:25 05:28 06:29 13:48 14:21 15:02-50 04:43 05:50 06:53 13:29 13:59 14:37-52 04:51 06:00 07:05 13:20 13:48 14:25-54 05:01 06:12 07:19 13:10 13:36 14:11-56 05:12 06:26 07:35 12:58 13:22 13:55-58 05:24 06:42 07:54 12:46 13:06 13:36-60 05:38 07:01 08:17 12:31 12:46 13:13

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower6 04:44 04:49 12:04 09:09 21:32 26(11%)7 04:54 04:59 12:04 09:56 22:21 27(6%)8 05:03 05:08 12:05 10:46 23:12 28(2%)

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July 09, 10 ,11 (Fri., Sat., Sun.)Aries Venus Mars Jupiter Saturn

Fri GHA GHA Dec GHA Dec GHA Dec GHA Dec0 287◦09.1 149◦52.4 18◦07.9 147◦20.8 16◦53.8 313◦06.7 -11◦51.9 332◦34.6 -17◦55.71 302◦11.6 164◦51.8 18◦07.1 162◦21.7 16◦53.3 328◦09.3 -11◦51.9 347◦37.2 -17◦55.82 317◦14.1 179◦51.2 18◦06.2 177◦22.6 16◦52.8 343◦11.9 -11◦52.0 2◦39.8 -17◦55.83 332◦16.5 194◦50.7 18◦05.3 192◦23.5 16◦52.3 358◦14.4 -11◦52.1 17◦42.4 -17◦55.94 347◦19.0 209◦50.1 18◦04.4 207◦24.5 16◦51.9 13◦17.0 -11◦52.1 32◦45.0 -17◦55.95 2◦21.5 224◦49.5 18◦03.5 222◦25.4 16◦51.4 28◦19.6 -11◦52.2 47◦47.7 -17◦56.06 17◦23.9 239◦48.9 18◦02.6 237◦26.3 16◦50.9 43◦22.2 -11◦52.3 62◦50.3 -17◦56.07 32◦26.4 254◦48.4 18◦01.7 252◦27.2 16◦50.4 58◦24.8 -11◦52.3 77◦52.9 -17◦56.18 47◦28.8 269◦47.8 18◦00.9 267◦28.1 16◦49.9 73◦27.4 -11◦52.4 92◦55.5 -17◦56.19 62◦31.3 284◦47.2 17◦60.0 282◦29.1 16◦49.4 88◦30.0 -11◦52.4 107◦58.2 -17◦56.210 77◦33.8 299◦46.7 17◦59.1 297◦30.0 16◦48.9 103◦32.6 -11◦52.5 123◦00.8 -17◦56.211 92◦36.2 314◦46.1 17◦58.2 312◦30.9 16◦48.5 118◦35.3 -11◦52.6 138◦03.4 -17◦56.312 107◦38.7 329◦45.5 17◦57.3 327◦31.8 16◦48.0 133◦37.9 -11◦52.6 153◦06.0 -17◦56.313 122◦41.2 344◦45.0 17◦56.4 342◦32.8 16◦47.5 148◦40.5 -11◦52.7 168◦08.7 -17◦56.414 137◦43.6 359◦44.4 17◦55.5 357◦33.7 16◦47.0 163◦43.1 -11◦52.8 183◦11.3 -17◦56.415 152◦46.1 14◦43.8 17◦54.6 12◦34.6 16◦46.5 178◦45.7 -11◦52.8 198◦13.9 -17◦56.516 167◦48.6 29◦43.3 17◦53.7 27◦35.5 16◦46.0 193◦48.3 -11◦52.9 213◦16.5 -17◦56.517 182◦51.0 44◦42.7 17◦52.8 42◦36.4 16◦45.5 208◦50.9 -11◦52.9 228◦19.2 -17◦56.618 197◦53.5 59◦42.1 17◦51.9 57◦37.4 16◦45.1 223◦53.5 -11◦53.0 243◦21.8 -17◦56.619 212◦56.0 74◦41.6 17◦51.0 72◦38.3 16◦44.6 238◦56.1 -11◦53.1 258◦24.4 -17◦56.720 227◦58.4 89◦41.0 17◦50.1 87◦39.2 16◦44.1 253◦58.7 -11◦53.1 273◦27.0 -17◦56.721 243◦00.9 104◦40.4 17◦49.2 102◦40.1 16◦43.6 269◦01.3 -11◦53.2 288◦29.7 -17◦56.822 258◦03.3 119◦39.9 17◦48.3 117◦41.0 16◦43.1 284◦03.9 -11◦53.3 303◦32.3 -17◦56.823 273◦05.8 134◦39.3 17◦47.4 132◦42.0 16◦42.6 299◦06.5 -11◦53.3 318◦34.9 -17◦56.9Mer.pass.:4:50: v-0.6 d-0.9 m-3.8 v0.9 d-0.5 m1.8 v2.6 d-0.1 m-2.5 v2.6 d-0.0 m0.3

Sat GHA GHA Dec GHA Dec GHA Dec GHA Dec0 288◦08.3 149◦38.8 17◦46.5 147◦42.9 16◦42.1 314◦09.1 -11◦53.4 333◦37.5 -17◦56.91 303◦10.7 164◦38.2 17◦45.6 162◦43.8 16◦41.6 329◦11.7 -11◦53.5 348◦40.2 -17◦57.02 318◦13.2 179◦37.6 17◦44.7 177◦44.7 16◦41.2 344◦14.3 -11◦53.5 3◦42.8 -17◦57.03 333◦15.7 194◦37.1 17◦43.8 192◦45.7 16◦40.7 359◦16.9 -11◦53.6 18◦45.4 -17◦57.04 348◦18.1 209◦36.5 17◦42.9 207◦46.6 16◦40.2 14◦19.5 -11◦53.7 33◦48.0 -17◦57.15 3◦20.6 224◦36.0 17◦42.0 222◦47.5 16◦39.7 29◦22.1 -11◦53.7 48◦50.7 -17◦57.16 18◦23.1 239◦35.4 17◦41.1 237◦48.4 16◦39.2 44◦24.7 -11◦53.8 63◦53.3 -17◦57.27 33◦25.5 254◦34.8 17◦40.2 252◦49.4 16◦38.7 59◦27.3 -11◦53.9 78◦55.9 -17◦57.28 48◦28.0 269◦34.3 17◦39.3 267◦50.3 16◦38.2 74◦29.9 -11◦53.9 93◦58.5 -17◦57.39 63◦30.5 284◦33.7 17◦38.4 282◦51.2 16◦37.7 89◦32.6 -11◦54.0 109◦01.2 -17◦57.310 78◦32.9 299◦33.2 17◦37.4 297◦52.1 16◦37.2 104◦35.2 -11◦54.0 124◦03.8 -17◦57.411 93◦35.4 314◦32.6 17◦36.5 312◦53.0 16◦36.8 119◦37.8 -11◦54.1 139◦06.4 -17◦57.412 108◦37.8 329◦32.1 17◦35.6 327◦54.0 16◦36.3 134◦40.4 -11◦54.2 154◦09.0 -17◦57.513 123◦40.3 344◦31.5 17◦34.7 342◦54.9 16◦35.8 149◦43.0 -11◦54.2 169◦11.7 -17◦57.514 138◦42.8 359◦31.0 17◦33.8 357◦55.8 16◦35.3 164◦45.6 -11◦54.3 184◦14.3 -17◦57.615 153◦45.2 14◦30.4 17◦32.9 12◦56.7 16◦34.8 179◦48.2 -11◦54.4 199◦16.9 -17◦57.616 168◦47.7 29◦29.9 17◦32.0 27◦57.7 16◦34.3 194◦50.8 -11◦54.4 214◦19.5 -17◦57.717 183◦50.2 44◦29.3 17◦31.1 42◦58.6 16◦33.8 209◦53.4 -11◦54.5 229◦22.2 -17◦57.718 198◦52.6 59◦28.8 17◦30.1 57◦59.5 16◦33.3 224◦56.0 -11◦54.6 244◦24.8 -17◦57.819 213◦55.1 74◦28.2 17◦29.2 73◦00.4 16◦32.8 239◦58.6 -11◦54.6 259◦27.4 -17◦57.820 228◦57.6 89◦27.7 17◦28.3 88◦01.4 16◦32.3 255◦01.3 -11◦54.7 274◦30.1 -17◦57.921 244◦00.0 104◦27.1 17◦27.4 103◦02.3 16◦31.8 270◦03.9 -11◦54.8 289◦32.7 -17◦57.922 259◦02.5 119◦26.6 17◦26.5 118◦03.2 16◦31.4 285◦06.5 -11◦54.8 304◦35.3 -17◦58.023 274◦05.0 134◦26.0 17◦25.5 133◦04.1 16◦30.9 300◦09.1 -11◦54.9 319◦37.9 -17◦58.0Mer.pass.:4:46: v-0.6 d-0.9 m-3.8 v0.9 d-0.5 m1.8 v2.6 d-0.1 m-2.6 v2.6 d-0.0 m0.3

Sun GHA GHA Dec GHA Dec GHA Dec GHA Dec0 289◦07.4 149◦25.5 17◦24.6 148◦05.1 16◦30.4 315◦11.7 -11◦55.0 334◦40.6 -17◦58.11 304◦09.9 164◦24.9 17◦23.7 163◦06.0 16◦29.9 330◦14.3 -11◦55.0 349◦43.2 -17◦58.12 319◦12.3 179◦24.4 17◦22.8 178◦06.9 16◦29.4 345◦16.9 -11◦55.1 4◦45.8 -17◦58.23 334◦14.8 194◦23.8 17◦21.8 193◦07.8 16◦28.9 0◦19.5 -11◦55.2 19◦48.4 -17◦58.24 349◦17.3 209◦23.3 17◦20.9 208◦08.8 16◦28.4 15◦22.2 -11◦55.2 34◦51.1 -17◦58.35 4◦19.7 224◦22.7 17◦20.0 223◦09.7 16◦27.9 30◦24.8 -11◦55.3 49◦53.7 -17◦58.36 19◦22.2 239◦22.2 17◦19.1 238◦10.6 16◦27.4 45◦27.4 -11◦55.4 64◦56.3 -17◦58.47 34◦24.7 254◦21.7 17◦18.1 253◦11.5 16◦26.9 60◦30.0 -11◦55.4 79◦59.0 -17◦58.48 49◦27.1 269◦21.1 17◦17.2 268◦12.5 16◦26.4 75◦32.6 -11◦55.5 95◦01.6 -17◦58.59 64◦29.6 284◦20.6 17◦16.3 283◦13.4 16◦25.9 90◦35.2 -11◦55.6 110◦04.2 -17◦58.510 79◦32.1 299◦20.0 17◦15.4 298◦14.3 16◦25.4 105◦37.8 -11◦55.7 125◦06.8 -17◦58.611 94◦34.5 314◦19.5 17◦14.4 313◦15.2 16◦24.9 120◦40.5 -11◦55.7 140◦09.5 -17◦58.612 109◦37.0 329◦18.9 17◦13.5 328◦16.2 16◦24.4 135◦43.1 -11◦55.8 155◦12.1 -17◦58.713 124◦39.4 344◦18.4 17◦12.6 343◦17.1 16◦23.9 150◦45.7 -11◦55.9 170◦14.7 -17◦58.714 139◦41.9 359◦17.9 17◦11.6 358◦18.0 16◦23.5 165◦48.3 -11◦55.9 185◦17.4 -17◦58.815 154◦44.4 14◦17.3 17◦10.7 13◦19.0 16◦23.0 180◦50.9 -11◦56.0 200◦20.0 -17◦58.916 169◦46.8 29◦16.8 17◦09.8 28◦19.9 16◦22.5 195◦53.5 -11◦56.1 215◦22.6 -17◦58.917 184◦49.3 44◦16.3 17◦08.8 43◦20.8 16◦22.0 210◦56.2 -11◦56.1 230◦25.2 -17◦59.018 199◦51.8 59◦15.7 17◦07.9 58◦21.7 16◦21.5 225◦58.8 -11◦56.2 245◦27.9 -17◦59.019 214◦54.2 74◦15.2 17◦07.0 73◦22.7 16◦21.0 241◦01.4 -11◦56.3 260◦30.5 -17◦59.120 229◦56.7 89◦14.6 17◦06.0 88◦23.6 16◦20.5 256◦04.0 -11◦56.3 275◦33.1 -17◦59.121 244◦59.2 104◦14.1 17◦05.1 103◦24.5 16◦20.0 271◦06.6 -11◦56.4 290◦35.8 -17◦59.222 260◦01.6 119◦13.6 17◦04.1 118◦25.4 16◦19.5 286◦09.3 -11◦56.5 305◦38.4 -17◦59.223 275◦04.1 134◦13.0 17◦03.2 133◦26.4 16◦19.0 301◦11.9 -11◦56.5 320◦41.0 -17◦59.3Mer.pass.:4:42: v-0.5 d-0.9 m-3.8 v0.9 d-0.5 m1.8 v2.6 d-0.1 m-2.6 v2.6 d-0.1 m0.3

StarsSHA Dec

Alpheratz 357◦37.6 29◦12.4Ankaa 353◦09.9 -42◦11.2

Schedar 349◦34.1 56◦39.0Diphda 348◦50.0 -17◦52.1

Achernar 335◦22.5 -57◦07.4Hamal 327◦54.5 23◦33.7Polaris 315◦34.5 89◦20.9Akamar 315◦14.2 -40◦13.0Menkar 314◦09.3 4◦10.4Mirfak 308◦32.6 49◦55.9

Aldebaran 290◦43.2 16◦33.1Rigel 281◦06.9 -8◦10.6

Capella 280◦26.5 46◦01.1Bellatrix 278◦26.2 6◦22.1Elnath 278◦05.8 28◦37.4Alnilam 275◦40.9 -1◦11.3

Betelgeuse 270◦55.5 7◦24.6Canopus 263◦54.2 -52◦42.4

Sirius 258◦29.0 -16◦44.5Adara 255◦08.5 -29◦00.1

Procyon 244◦54.1 5◦10.4Pollux 243◦21.1 27◦58.5Avior 234◦16.5 -59◦34.7Suhail 222◦48.8 -43◦31.2

Miaplacidus 221◦39.6 -69◦48.4Alphard 217◦50.8 -8◦45.1Regulus 207◦37.7 11◦51.9Dubhe 193◦45.0 61◦38.5

Denebola 182◦27.9 14◦27.3Gienah 175◦46.6 -17◦39.6Acrux 173◦03.3 -63◦13.3

Gacrux 171◦54.8 -57◦14.2Alioth 166◦15.6 55◦51.0Spica 158◦25.3 -11◦16.3Alcaid 152◦54.2 49◦12.7Hadar 148◦39.8 -60◦28.7

Menkent 148◦00.9 -36◦28.6Arcturus 145◦50.3 19◦04.8

Rigil Kent. 139◦43.9 -60◦55.6Zubenelg. 136◦59.0 -16◦07.8Kochab 137◦19.3 74◦04.4

Alphecca 126◦06.0 26◦38.8Antares 112◦19.0 -26◦28.7

Atria 107◦15.3 -69◦04.0Sabik 102◦05.7 -15◦45.0

Shaula 96◦13.8 -37◦07.1Rasalhague 96◦00.9 12◦32.8

Etamin 90◦43.0 51◦29.3Kaus Aust. 83◦35.9 -34◦22.4

Vega 80◦34.7 38◦48.2Nunki 75◦50.9 -26◦16.1Altair 62◦02.5 8◦55.5

Peacock 53◦09.7 -56◦39.8Deneb 49◦27.3 45◦21.3

Enif 33◦41.3 9◦58.4Alnair 27◦36.2 -46◦51.2

Fomalhaut 15◦17.5 -29◦30.4Scheat 13◦47.8 28◦11.8Markab 13◦32.6 15◦19.1

2021/7/9 SHA Mer.passVenus 222◦43.2 14:01Mars 220◦11.6 14:10

Jupiter 25◦57.5 03:07Saturn 45◦25.4 01:49

2021/7/1 SHA Mer.passVenus 221◦30.5 14:02Mars 219◦34.6 14:08

Jupiter 26◦00.8 03:03Saturn 45◦29.3 01:45

2021/7/1 SHA Mer.passVenus 220◦18.1 14:03Mars 218◦57.6 14:07

Jupiter 26◦04.3 02:59Saturn 45◦33.1 01:41

Horizontal paralaxVenus: 0.1Mars: 0.1

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2021 July 09 to Jul. 11

h Sun MoonFri GHA Dec GHA ν Dec d HP0 178◦41.9 22◦21.2 191◦28.6 9.7 25◦30.6 1.3 54.81 193◦41.8 22◦20.9 205◦57.3 9.7 25◦31.8 1.2 54.82 208◦41.7 22◦20.6 220◦26.0 9.7 25◦32.9 1.0 54.83 223◦41.6 22◦20.3 234◦54.7 9.7 25◦33.9 0.9 54.84 238◦41.5 22◦20.0 249◦23.3 9.6 25◦34.8 0.8 54.85 253◦41.4 22◦19.7 263◦51.9 9.6 25◦35.5 0.7 54.86 268◦41.3 22◦19.4 278◦20.5 9.6 25◦36.1 0.5 54.87 283◦41.2 22◦19.1 292◦49.1 9.6 25◦36.6 0.4 54.98 298◦41.1 22◦18.8 307◦17.6 9.5 25◦36.9 0.3 54.99 313◦41.1 22◦18.5 321◦46.2 9.5 25◦37.1 0.1 54.910 328◦41.0 22◦18.2 336◦14.7 9.5 25◦37.2 0.0 54.911 343◦40.9 22◦17.9 350◦43.1 9.5 25◦37.1 -0.1 54.912 358◦40.8 22◦17.6 5◦11.6 9.4 25◦36.9 -0.3 54.913 13◦40.7 22◦17.3 19◦40.0 9.4 25◦36.6 -0.4 55.014 28◦40.6 22◦16.9 34◦08.5 9.4 25◦36.2 -0.5 55.015 43◦40.5 22◦16.6 48◦36.9 9.4 25◦35.6 -0.7 55.016 58◦40.4 22◦16.3 63◦05.3 9.4 25◦34.8 -0.8 55.017 73◦40.3 22◦16.0 77◦33.6 9.4 25◦34.0 -0.9 55.018 88◦40.2 22◦15.7 92◦02.0 9.4 25◦33.0 -1.0 55.019 103◦40.1 22◦15.4 106◦30.4 9.4 25◦31.9 -1.2 55.120 118◦40.1 22◦15.1 120◦58.7 9.3 25◦30.7 -1.3 55.121 133◦40.0 22◦14.8 135◦27.1 9.3 25◦29.3 -1.4 55.122 148◦39.9 22◦14.4 149◦55.4 9.3 25◦27.8 -1.6 55.123 163◦39.8 22◦14.1 164◦23.7 9.3 25◦26.1 -1.7 55.1

SD.=15.7 d=-0.3 S.D.=14.9

Sat GHA Dec GHA ν Dec d HP0 178◦39.7 22◦13.8 178◦52.0 9.3 25◦24.3 -1.8 55.11 193◦39.6 22◦13.5 193◦20.4 9.3 25◦22.4 -2.0 55.22 208◦39.5 22◦13.2 207◦48.7 9.3 25◦20.4 -2.1 55.23 223◦39.4 22◦12.9 222◦17.0 9.3 25◦18.2 -2.2 55.24 238◦39.3 22◦12.5 236◦45.3 9.3 25◦15.9 -2.4 55.25 253◦39.3 22◦12.2 251◦13.6 9.3 25◦13.5 -2.5 55.26 268◦39.2 22◦11.9 265◦41.9 9.3 25◦10.9 -2.6 55.27 283◦39.1 22◦11.6 280◦10.2 9.3 25◦08.2 -2.8 55.38 298◦39.0 22◦11.3 294◦38.6 9.3 25◦05.3 -2.9 55.39 313◦38.9 22◦10.9 309◦06.9 9.3 25◦02.4 -3.0 55.310 328◦38.8 22◦10.6 323◦35.2 9.3 24◦59.3 -3.2 55.311 343◦38.7 22◦10.3 338◦03.6 9.3 24◦56.0 -3.3 55.312 358◦38.6 22◦10.0 352◦31.9 9.4 24◦52.7 -3.4 55.313 13◦38.5 22◦09.6 7◦00.3 9.4 24◦49.2 -3.6 55.414 28◦38.5 22◦09.3 21◦28.7 9.4 24◦45.5 -3.7 55.415 43◦38.4 22◦09.0 35◦57.1 9.4 24◦41.8 -3.8 55.416 58◦38.3 22◦08.7 50◦25.5 9.4 24◦37.9 -4.0 55.417 73◦38.2 22◦08.3 64◦53.9 9.4 24◦33.9 -4.1 55.418 88◦38.1 22◦08.0 79◦22.3 9.4 24◦29.7 -4.2 55.519 103◦38.0 22◦07.7 93◦50.7 9.5 24◦25.4 -4.3 55.520 118◦37.9 22◦07.4 108◦19.2 9.5 24◦21.0 -4.5 55.521 133◦37.9 22◦07.0 122◦47.7 9.5 24◦16.5 -4.6 55.522 148◦37.8 22◦06.7 137◦16.2 9.5 24◦11.8 -4.7 55.523 163◦37.7 22◦06.4 151◦44.7 9.5 24◦07.0 -4.9 55.5

SD.=15.7 d=-0.3 S.D.=15.0

Sun GHA Dec GHA ν Dec d HP0 178◦37.6 22◦06.0 166◦13.2 9.6 24◦02.1 -5.0 55.61 193◦37.5 22◦05.7 180◦41.8 9.6 23◦57.0 -5.1 55.62 208◦37.4 22◦05.4 195◦10.4 9.6 23◦51.8 -5.2 55.63 223◦37.4 22◦05.0 209◦39.0 9.6 23◦46.5 -5.4 55.64 238◦37.3 22◦04.7 224◦07.6 9.6 23◦41.1 -5.5 55.65 253◦37.2 22◦04.4 238◦36.3 9.7 23◦35.5 -5.6 55.76 268◦37.1 22◦04.0 253◦05.0 9.7 23◦29.8 -5.8 55.77 283◦37.0 22◦03.7 267◦33.7 9.7 23◦24.0 -5.9 55.78 298◦36.9 22◦03.4 282◦02.4 9.8 23◦18.1 -6.0 55.79 313◦36.9 22◦03.0 296◦31.2 9.8 23◦12.0 -6.1 55.710 328◦36.8 22◦02.7 311◦00.0 9.8 23◦05.8 -6.3 55.811 343◦36.7 22◦02.3 325◦28.8 9.8 22◦59.5 -6.4 55.812 358◦36.6 22◦02.0 339◦57.7 9.9 22◦53.1 -6.5 55.813 13◦36.5 22◦01.7 354◦26.6 9.9 22◦46.5 -6.6 55.814 28◦36.4 22◦01.3 8◦55.5 9.9 22◦39.8 -6.7 55.815 43◦36.4 22◦01.0 23◦24.5 10.0 22◦33.0 -6.9 55.916 58◦36.3 22◦00.6 37◦53.5 10.0 22◦26.1 -7.0 55.917 73◦36.2 22◦00.3 52◦22.5 10.0 22◦19.1 -7.1 55.918 88◦36.1 21◦60.0 66◦51.5 10.1 22◦11.9 -7.2 55.919 103◦36.0 21◦59.6 81◦20.6 10.1 22◦04.6 -7.3 55.920 118◦36.0 21◦59.3 95◦49.8 10.1 21◦57.2 -7.5 56.021 133◦35.9 21◦58.9 110◦18.9 10.2 21◦49.7 -7.6 56.022 148◦35.8 21◦58.6 124◦48.1 10.2 21◦42.1 -7.7 56.023 163◦35.7 21◦58.2 139◦17.4 10.3 21◦34.4 -7.8 56.0

SD.=15.7 d=-0.3 S.D.=15.2

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 –:– –:– –:– –:– –:– –:–70 –:– –:– –:– –:– –:– –:–68 –:– –:– –:– –:– –:– –:–66 –:– –:– 01:14 22:53 –:– –:–64 –:– –:– 02:02 22:07 –:– –:–62 –:– –:– 02:32 21:37 –:– –:–60 –:– 01:29 02:55 21:15 22:39 –:–58 –:– 02:05 03:13 20:57 22:04 –:–56 –:– 02:30 03:28 20:42 21:40 –:–54 01:22 02:50 03:41 20:29 21:20 22:4652 01:55 03:06 03:52 20:18 21:04 22:1450 02:18 03:19 04:03 20:08 20:51 21:5145 02:59 03:47 04:23 19:47 20:23 21:1140 03:27 04:08 04:40 19:30 20:02 20:4335 03:49 04:25 04:54 19:16 19:45 20:2130 04:07 04:40 05:07 19:04 19:31 20:0420 04:34 05:03 05:27 18:43 19:08 19:3610 04:56 05:22 05:45 18:26 18:48 19:150 05:13 05:39 06:02 18:09 18:31 18:57-10 05:29 05:56 06:18 17:53 18:15 18:41-20 05:45 06:12 06:36 17:35 17:59 18:26-30 05:60 06:30 06:56 17:15 17:41 18:11-35 06:08 06:39 07:07 17:04 17:32 18:03-40 06:17 06:50 07:21 16:51 17:21 17:54-45 06:26 07:03 07:36 16:35 17:08 17:45-50 06:37 07:18 07:55 16:16 16:53 17:34-52 06:42 07:25 08:05 16:07 16:47 17:30-54 06:47 07:32 08:15 15:56 16:39 17:24-56 06:52 07:40 08:26 15:45 16:31 17:19-58 06:58 07:50 08:40 15:32 16:21 17:13-60 07:05 08:00 08:55 15:16 16:11 17:06

Moonrise MoonsetLat. Fri Sat Sun Fri Sat Sun72 –:– –:– –:– –:– –:– –:–70 –:– –:– –:– –:– –:– –:–68 –:– –:– –:– –:– –:– –:–66 –:– –:– 01:29 –:– –:– 00:3264 00:06 01:05 02:44 23:07 23:17 23:1862 01:03 01:59 03:21 22:13 22:40 22:5360 01:35 02:31 03:46 21:40 22:14 22:3458 01:60 02:55 04:07 21:16 21:53 22:1856 02:19 03:15 04:23 20:57 21:36 22:0454 02:36 03:31 04:38 20:41 21:22 21:5352 02:50 03:45 04:50 20:27 21:09 21:4250 03:02 03:57 05:01 20:14 20:58 21:3345 03:28 04:22 05:24 19:49 20:35 21:1340 03:48 04:42 05:42 19:29 20:16 20:5735 04:05 04:59 05:57 19:12 20:00 20:4330 04:19 05:13 06:10 18:57 19:46 20:3120 04:44 05:37 06:33 18:33 19:23 20:1010 05:06 05:59 06:52 18:11 19:03 19:520 05:26 06:18 07:11 17:51 18:44 19:35-10 05:46 06:38 07:29 17:31 18:24 19:18-20 06:08 06:59 07:48 17:10 18:04 19:00-30 06:33 07:24 08:10 16:45 17:40 18:39-35 06:47 07:38 08:23 16:30 17:26 18:27-40 07:04 07:54 08:38 16:13 17:10 18:12-45 07:25 08:14 08:56 15:52 16:50 17:55-50 07:51 08:39 09:18 15:26 16:26 17:34-52 08:03 08:51 09:29 15:14 16:14 17:24-54 08:18 09:05 09:40 14:60 16:01 17:13-56 08:34 09:21 09:54 14:43 15:45 16:59-58 08:54 09:39 10:10 14:23 15:27 16:44-60 09:20 10:03 10:28 13:57 15:04 16:26

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower9 05:12 05:17 12:05 11:38 00:04 29(0%)10 05:21 05:25 12:05 12:30 00:04 0(0%)11 05:30 05:34 12:05 13:23 00:57 1(2%)

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July 12, 13 ,14 (Mon., Tue., Wed.)Aries Venus Mars Jupiter Saturn

Mon GHA GHA Dec GHA Dec GHA Dec GHA Dec0 290◦06.6 149◦12.5 17◦02.3 148◦27.3 16◦18.5 316◦14.5 -11◦56.6 335◦43.6 -17◦59.31 305◦09.0 164◦12.0 17◦01.3 163◦28.2 16◦18.0 331◦17.1 -11◦56.7 350◦46.3 -17◦59.42 320◦11.5 179◦11.4 17◦00.4 178◦29.1 16◦17.5 346◦19.7 -11◦56.8 5◦48.9 -17◦59.43 335◦13.9 194◦10.9 16◦59.4 193◦30.1 16◦17.0 1◦22.3 -11◦56.8 20◦51.5 -17◦59.54 350◦16.4 209◦10.4 16◦58.5 208◦31.0 16◦16.5 16◦25.0 -11◦56.9 35◦54.2 -17◦59.55 5◦18.9 224◦09.9 16◦57.5 223◦31.9 16◦16.0 31◦27.6 -11◦57.0 50◦56.8 -17◦59.66 20◦21.3 239◦09.3 16◦56.6 238◦32.9 16◦15.5 46◦30.2 -11◦57.0 65◦59.4 -17◦59.67 35◦23.8 254◦08.8 16◦55.7 253◦33.8 16◦15.0 61◦32.8 -11◦57.1 81◦02.1 -17◦59.78 50◦26.3 269◦08.3 16◦54.7 268◦34.7 16◦14.5 76◦35.5 -11◦57.2 96◦04.7 -17◦59.79 65◦28.7 284◦07.7 16◦53.8 283◦35.6 16◦14.0 91◦38.1 -11◦57.2 111◦07.3 -17◦59.810 80◦31.2 299◦07.2 16◦52.8 298◦36.6 16◦13.5 106◦40.7 -11◦57.3 126◦09.9 -17◦59.811 95◦33.7 314◦06.7 16◦51.9 313◦37.5 16◦13.0 121◦43.3 -11◦57.4 141◦12.6 -17◦59.912 110◦36.1 329◦06.2 16◦50.9 328◦38.4 16◦12.5 136◦45.9 -11◦57.5 156◦15.2 -17◦59.913 125◦38.6 344◦05.6 16◦50.0 343◦39.4 16◦12.0 151◦48.6 -11◦57.5 171◦17.8 -17◦60.014 140◦41.1 359◦05.1 16◦49.0 358◦40.3 16◦11.5 166◦51.2 -11◦57.6 186◦20.5 -18◦00.015 155◦43.5 14◦04.6 16◦48.1 13◦41.2 16◦11.0 181◦53.8 -11◦57.7 201◦23.1 -18◦00.116 170◦46.0 29◦04.1 16◦47.1 28◦42.1 16◦10.5 196◦56.4 -11◦57.7 216◦25.7 -18◦00.117 185◦48.4 44◦03.5 16◦46.2 43◦43.1 16◦10.0 211◦59.1 -11◦57.8 231◦28.4 -18◦00.218 200◦50.9 59◦03.0 16◦45.2 58◦44.0 16◦09.5 227◦01.7 -11◦57.9 246◦31.0 -18◦00.219 215◦53.4 74◦02.5 16◦44.2 73◦44.9 16◦09.0 242◦04.3 -11◦58.0 261◦33.6 -18◦00.320 230◦55.8 89◦02.0 16◦43.3 88◦45.9 16◦08.5 257◦06.9 -11◦58.0 276◦36.2 -18◦00.321 245◦58.3 104◦01.4 16◦42.3 103◦46.8 16◦08.0 272◦09.6 -11◦58.1 291◦38.9 -18◦00.422 261◦00.8 119◦00.9 16◦41.4 118◦47.7 16◦07.5 287◦12.2 -11◦58.2 306◦41.5 -18◦00.423 276◦03.2 134◦00.4 16◦40.4 133◦48.6 16◦07.0 302◦14.8 -11◦58.2 321◦44.1 -18◦00.5Mer.pass.:4:38: v-0.5 d-0.9 m-3.8 v0.9 d-0.5 m1.8 v2.6 d-0.1 m-2.6 v2.6 d-0.1 m0.3

Tue GHA GHA Dec GHA Dec GHA Dec GHA Dec0 291◦05.7 148◦59.9 16◦39.5 148◦49.6 16◦06.5 317◦17.4 -11◦58.3 336◦46.8 -18◦00.51 306◦08.2 163◦59.4 16◦38.5 163◦50.5 16◦06.0 332◦20.1 -11◦58.4 351◦49.4 -18◦00.62 321◦10.6 178◦58.8 16◦37.5 178◦51.4 16◦05.5 347◦22.7 -11◦58.5 6◦52.0 -18◦00.63 336◦13.1 193◦58.3 16◦36.6 193◦52.4 16◦05.0 2◦25.3 -11◦58.5 21◦54.7 -18◦00.74 351◦15.6 208◦57.8 16◦35.6 208◦53.3 16◦04.5 17◦27.9 -11◦58.6 36◦57.3 -18◦00.75 6◦18.0 223◦57.3 16◦34.7 223◦54.2 16◦04.0 32◦30.6 -11◦58.7 51◦59.9 -18◦00.86 21◦20.5 238◦56.8 16◦33.7 238◦55.2 16◦03.5 47◦33.2 -11◦58.8 67◦02.6 -18◦00.87 36◦22.9 253◦56.3 16◦32.7 253◦56.1 16◦03.0 62◦35.8 -11◦58.8 82◦05.2 -18◦00.98 51◦25.4 268◦55.7 16◦31.8 268◦57.0 16◦02.5 77◦38.5 -11◦58.9 97◦07.8 -18◦00.99 66◦27.9 283◦55.2 16◦30.8 283◦57.9 16◦02.0 92◦41.1 -11◦59.0 112◦10.5 -18◦01.010 81◦30.3 298◦54.7 16◦29.8 298◦58.9 16◦01.5 107◦43.7 -11◦59.0 127◦13.1 -18◦01.011 96◦32.8 313◦54.2 16◦28.9 313◦59.8 16◦01.0 122◦46.3 -11◦59.1 142◦15.7 -18◦01.112 111◦35.3 328◦53.7 16◦27.9 329◦00.7 16◦00.5 137◦49.0 -11◦59.2 157◦18.4 -18◦01.113 126◦37.7 343◦53.2 16◦26.9 344◦01.7 15◦60.0 152◦51.6 -11◦59.3 172◦21.0 -18◦01.214 141◦40.2 358◦52.7 16◦26.0 359◦02.6 15◦59.5 167◦54.2 -11◦59.3 187◦23.6 -18◦01.215 156◦42.7 13◦52.2 16◦25.0 14◦03.5 15◦59.0 182◦56.9 -11◦59.4 202◦26.3 -18◦01.316 171◦45.1 28◦51.6 16◦24.0 29◦04.5 15◦58.5 197◦59.5 -11◦59.5 217◦28.9 -18◦01.317 186◦47.6 43◦51.1 16◦23.1 44◦05.4 15◦58.0 213◦02.1 -11◦59.6 232◦31.5 -18◦01.418 201◦50.0 58◦50.6 16◦22.1 59◦06.3 15◦57.5 228◦04.8 -11◦59.6 247◦34.1 -18◦01.419 216◦52.5 73◦50.1 16◦21.1 74◦07.3 15◦57.0 243◦07.4 -11◦59.7 262◦36.8 -18◦01.520 231◦55.0 88◦49.6 16◦20.1 89◦08.2 15◦56.5 258◦10.0 -11◦59.8 277◦39.4 -18◦01.521 246◦57.4 103◦49.1 16◦19.2 104◦09.1 15◦56.0 273◦12.7 -11◦59.9 292◦42.0 -18◦01.622 261◦59.9 118◦48.6 16◦18.2 119◦10.1 15◦55.4 288◦15.3 -11◦59.9 307◦44.7 -18◦01.623 277◦02.4 133◦48.1 16◦17.2 134◦11.0 15◦54.9 303◦17.9 -12◦00.0 322◦47.3 -18◦01.7Mer.pass.:4:34: v-0.5 d-1.0 m-3.8 v0.9 d-0.5 m1.8 v2.6 d-0.1 m-2.6 v2.6 d-0.1 m0.3

Wed GHA GHA Dec GHA Dec GHA Dec GHA Dec0 292◦04.8 148◦47.6 16◦16.2 149◦11.9 15◦54.4 318◦20.6 -12◦00.1 337◦49.9 -18◦01.81 307◦07.3 163◦47.1 16◦15.3 164◦12.9 15◦53.9 333◦23.2 -12◦00.2 352◦52.6 -18◦01.82 322◦09.8 178◦46.6 16◦14.3 179◦13.8 15◦53.4 348◦25.8 -12◦00.2 7◦55.2 -18◦01.93 337◦12.2 193◦46.1 16◦13.3 194◦14.7 15◦52.9 3◦28.5 -12◦00.3 22◦57.8 -18◦01.94 352◦14.7 208◦45.6 16◦12.3 209◦15.6 15◦52.4 18◦31.1 -12◦00.4 38◦00.5 -18◦02.05 7◦17.2 223◦45.1 16◦11.3 224◦16.6 15◦51.9 33◦33.7 -12◦00.5 53◦03.1 -18◦02.06 22◦19.6 238◦44.6 16◦10.4 239◦17.5 15◦51.4 48◦36.4 -12◦00.5 68◦05.7 -18◦02.17 37◦22.1 253◦44.1 16◦09.4 254◦18.4 15◦50.9 63◦39.0 -12◦00.6 83◦08.4 -18◦02.18 52◦24.5 268◦43.6 16◦08.4 269◦19.4 15◦50.4 78◦41.6 -12◦00.7 98◦11.0 -18◦02.29 67◦27.0 283◦43.1 16◦07.4 284◦20.3 15◦49.9 93◦44.3 -12◦00.8 113◦13.6 -18◦02.210 82◦29.5 298◦42.6 16◦06.4 299◦21.2 15◦49.4 108◦46.9 -12◦00.8 128◦16.3 -18◦02.311 97◦31.9 313◦42.1 16◦05.4 314◦22.2 15◦48.9 123◦49.5 -12◦00.9 143◦18.9 -18◦02.312 112◦34.4 328◦41.6 16◦04.5 329◦23.1 15◦48.4 138◦52.2 -12◦01.0 158◦21.5 -18◦02.413 127◦36.9 343◦41.1 16◦03.5 344◦24.0 15◦47.8 153◦54.8 -12◦01.1 173◦24.2 -18◦02.414 142◦39.3 358◦40.6 16◦02.5 359◦25.0 15◦47.3 168◦57.4 -12◦01.1 188◦26.8 -18◦02.515 157◦41.8 13◦40.1 16◦01.5 14◦25.9 15◦46.8 184◦00.1 -12◦01.2 203◦29.5 -18◦02.516 172◦44.3 28◦39.6 16◦00.5 29◦26.8 15◦46.3 199◦02.7 -12◦01.3 218◦32.1 -18◦02.617 187◦46.7 43◦39.1 15◦59.5 44◦27.8 15◦45.8 214◦05.4 -12◦01.4 233◦34.7 -18◦02.618 202◦49.2 58◦38.6 15◦58.5 59◦28.7 15◦45.3 229◦08.0 -12◦01.4 248◦37.4 -18◦02.719 217◦51.7 73◦38.1 15◦57.5 74◦29.6 15◦44.8 244◦10.6 -12◦01.5 263◦40.0 -18◦02.720 232◦54.1 88◦37.6 15◦56.6 89◦30.6 15◦44.3 259◦13.3 -12◦01.6 278◦42.6 -18◦02.821 247◦56.6 103◦37.1 15◦55.6 104◦31.5 15◦43.8 274◦15.9 -12◦01.7 293◦45.3 -18◦02.822 262◦59.0 118◦36.6 15◦54.6 119◦32.5 15◦43.3 289◦18.6 -12◦01.7 308◦47.9 -18◦02.923 278◦01.5 133◦36.1 15◦53.6 134◦33.4 15◦42.8 304◦21.2 -12◦01.8 323◦50.5 -18◦02.9Mer.pass.:4:30: v-0.5 d-1.0 m-3.8 v0.9 d-0.5 m1.8 v2.6 d-0.1 m-2.6 v2.6 d-0.1 m0.3

StarsSHA Dec

Alpheratz 357◦37.6 29◦12.4Ankaa 353◦09.9 -42◦11.2

Schedar 349◦34.1 56◦39.0Diphda 348◦50.0 -17◦52.1

Achernar 335◦22.5 -57◦07.4Hamal 327◦54.5 23◦33.7Polaris 315◦33.1 89◦20.9Akamar 315◦14.2 -40◦13.0Menkar 314◦09.3 4◦10.4Mirfak 308◦32.6 49◦56.0

Aldebaran 290◦43.2 16◦33.1Rigel 281◦06.9 -8◦10.6

Capella 280◦26.5 46◦01.1Bellatrix 278◦26.2 6◦22.1Elnath 278◦05.8 28◦37.4Alnilam 275◦40.9 -1◦11.3

Betelgeuse 270◦55.5 7◦24.6Canopus 263◦54.2 -52◦42.3

Sirius 258◦29.0 -16◦44.5Adara 255◦08.5 -29◦00.0

Procyon 244◦54.1 5◦10.4Pollux 243◦21.1 27◦58.5Avior 234◦16.5 -59◦34.7Suhail 222◦48.8 -43◦31.2

Miaplacidus 221◦39.6 -69◦48.4Alphard 217◦50.8 -8◦45.0Regulus 207◦37.7 11◦51.9Dubhe 193◦45.0 61◦38.5

Denebola 182◦27.9 14◦27.3Gienah 175◦46.6 -17◦39.6Acrux 173◦03.3 -63◦13.3

Gacrux 171◦54.9 -57◦14.2Alioth 166◦15.7 55◦51.0Spica 158◦25.3 -11◦16.3Alcaid 152◦54.2 49◦12.7Hadar 148◦39.8 -60◦28.8

Menkent 148◦00.9 -36◦28.6Arcturus 145◦50.3 19◦04.8

Rigil Kent. 139◦43.9 -60◦55.6Zubenelg. 136◦59.0 -16◦07.8Kochab 137◦19.4 74◦04.4

Alphecca 126◦06.0 26◦38.8Antares 112◦19.0 -26◦28.7

Atria 107◦15.3 -69◦04.0Sabik 102◦05.7 -15◦45.0

Shaula 96◦13.8 -37◦07.1Rasalhague 96◦00.9 12◦32.8

Etamin 90◦43.0 51◦29.3Kaus Aust. 83◦35.9 -34◦22.4

Vega 80◦34.7 38◦48.3Nunki 75◦50.9 -26◦16.1Altair 62◦02.5 8◦55.5

Peacock 53◦09.6 -56◦39.8Deneb 49◦27.2 45◦21.3

Enif 33◦41.3 9◦58.4Alnair 27◦36.2 -46◦51.2

Fomalhaut 15◦17.5 -29◦30.4Scheat 13◦47.8 28◦11.8Markab 13◦32.5 15◦19.2

2021/7/1 SHA Mer.passVenus 219◦06.0 14:04Mars 218◦20.7 14:05

Jupiter 26◦07.9 02:55Saturn 45◦37.1 01:37

2021/7/1 SHA Mer.passVenus 217◦54.2 14:04Mars 217◦43.9 14:04

Jupiter 26◦11.7 02:50Saturn 45◦41.1 01:33

2021/7/1 SHA Mer.passVenus 216◦42.8 14:05Mars 217◦07.1 14:02

Jupiter 26◦15.7 02:46Saturn 45◦45.1 01:28

Horizontal paralaxVenus: 0.1Mars: 0.1

130

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2021 July 12 to Jul. 14

h Sun MoonMon GHA Dec GHA ν Dec d HP0 178◦35.6 21◦57.9 153◦46.7 10.3 21◦26.5 -7.9 56.01 193◦35.6 21◦57.5 168◦16.0 10.3 21◦18.5 -8.0 56.12 208◦35.5 21◦57.2 182◦45.3 10.4 21◦10.4 -8.1 56.13 223◦35.4 21◦56.8 197◦14.7 10.4 21◦02.2 -8.3 56.14 238◦35.3 21◦56.5 211◦44.1 10.5 20◦53.9 -8.4 56.15 253◦35.2 21◦56.1 226◦13.6 10.5 20◦45.5 -8.5 56.16 268◦35.2 21◦55.8 240◦43.1 10.5 20◦37.0 -8.6 56.27 283◦35.1 21◦55.4 255◦12.7 10.6 20◦28.3 -8.7 56.28 298◦35.0 21◦55.1 269◦42.3 10.6 20◦19.6 -8.8 56.29 313◦34.9 21◦54.7 284◦11.9 10.7 20◦10.7 -8.9 56.210 328◦34.8 21◦54.4 298◦41.6 10.7 20◦01.7 -9.0 56.211 343◦34.8 21◦54.0 313◦11.3 10.7 19◦52.7 -9.1 56.312 358◦34.7 21◦53.7 327◦41.0 10.8 19◦43.5 -9.2 56.313 13◦34.6 21◦53.3 342◦10.8 10.8 19◦34.2 -9.3 56.314 28◦34.5 21◦52.9 356◦40.7 10.9 19◦24.8 -9.4 56.315 43◦34.5 21◦52.6 11◦10.6 10.9 19◦15.3 -9.5 56.316 58◦34.4 21◦52.2 25◦40.5 10.9 19◦05.7 -9.6 56.417 73◦34.3 21◦51.9 40◦10.4 11.0 18◦56.0 -9.8 56.418 88◦34.2 21◦51.5 54◦40.4 11.0 18◦46.2 -9.9 56.419 103◦34.1 21◦51.2 69◦10.5 11.1 18◦36.3 -10.0 56.420 118◦34.1 21◦50.8 83◦40.6 11.1 18◦26.3 -10.0 56.521 133◦34.0 21◦50.4 98◦10.7 11.1 18◦16.2 -10.1 56.522 148◦33.9 21◦50.1 112◦40.9 11.2 18◦06.0 -10.2 56.523 163◦33.8 21◦49.7 127◦11.1 11.2 17◦55.7 -10.3 56.5

SD.=15.7 d=-0.3 S.D.=15.3

Tue GHA Dec GHA ν Dec d HP0 178◦33.8 21◦49.3 141◦41.3 11.3 17◦45.3 -10.4 56.51 193◦33.7 21◦49.0 156◦11.6 11.3 17◦34.9 -10.5 56.62 208◦33.6 21◦48.6 170◦42.0 11.4 17◦24.3 -10.6 56.63 223◦33.5 21◦48.2 185◦12.3 11.4 17◦13.6 -10.7 56.64 238◦33.5 21◦47.9 199◦42.7 11.4 17◦02.8 -10.8 56.65 253◦33.4 21◦47.5 214◦13.2 11.5 16◦52.0 -10.9 56.66 268◦33.3 21◦47.2 228◦43.7 11.5 16◦41.0 -11.0 56.77 283◦33.3 21◦46.8 243◦14.2 11.6 16◦30.0 -11.1 56.78 298◦33.2 21◦46.4 257◦44.8 11.6 16◦18.9 -11.2 56.79 313◦33.1 21◦46.0 272◦15.4 11.6 16◦07.7 -11.3 56.710 328◦33.0 21◦45.7 286◦46.1 11.7 15◦56.4 -11.3 56.711 343◦33.0 21◦45.3 301◦16.7 11.7 15◦45.0 -11.4 56.812 358◦32.9 21◦44.9 315◦47.5 11.7 15◦33.5 -11.5 56.813 13◦32.8 21◦44.6 330◦18.2 11.8 15◦22.0 -11.6 56.814 28◦32.7 21◦44.2 344◦49.0 11.8 15◦10.4 -11.7 56.815 43◦32.7 21◦43.8 359◦19.9 11.9 14◦58.6 -11.8 56.916 58◦32.6 21◦43.4 13◦50.7 11.9 14◦46.8 -11.8 56.917 73◦32.5 21◦43.1 28◦21.6 11.9 14◦35.0 -11.9 56.918 88◦32.5 21◦42.7 42◦52.6 12.0 14◦23.0 -12.0 56.919 103◦32.4 21◦42.3 57◦23.6 12.0 14◦11.0 -12.1 56.920 118◦32.3 21◦41.9 71◦54.6 12.0 13◦58.9 -12.1 57.021 133◦32.2 21◦41.6 86◦25.6 12.1 13◦46.7 -12.2 57.022 148◦32.2 21◦41.2 100◦56.7 12.1 13◦34.4 -12.3 57.023 163◦32.1 21◦40.8 115◦27.8 12.1 13◦22.1 -12.4 57.0

SD.=15.7 d=-0.4 S.D.=15.4

Wed GHA Dec GHA ν Dec d HP0 178◦32.0 21◦40.4 129◦59.0 12.2 13◦09.7 -12.4 57.11 193◦32.0 21◦40.1 144◦30.1 12.2 12◦57.2 -12.5 57.12 208◦31.9 21◦39.7 159◦01.3 12.2 12◦44.7 -12.6 57.13 223◦31.8 21◦39.3 173◦32.6 12.3 12◦32.0 -12.7 57.14 238◦31.8 21◦38.9 188◦03.9 12.3 12◦19.4 -12.7 57.15 253◦31.7 21◦38.5 202◦35.1 12.3 12◦06.6 -12.8 57.26 268◦31.6 21◦38.1 217◦06.5 12.3 11◦53.8 -12.9 57.27 283◦31.6 21◦37.8 231◦37.8 12.4 11◦40.9 -12.9 57.28 298◦31.5 21◦37.4 246◦09.2 12.4 11◦27.9 -13.0 57.29 313◦31.4 21◦37.0 260◦40.6 12.4 11◦14.9 -13.1 57.310 328◦31.4 21◦36.6 275◦12.0 12.4 11◦01.8 -13.1 57.311 343◦31.3 21◦36.2 289◦43.5 12.5 10◦48.7 -13.2 57.312 358◦31.2 21◦35.8 304◦15.0 12.5 10◦35.5 -13.2 57.313 13◦31.1 21◦35.5 318◦46.4 12.5 10◦22.2 -13.3 57.314 28◦31.1 21◦35.1 333◦18.0 12.5 10◦08.9 -13.4 57.415 43◦31.0 21◦34.7 347◦49.5 12.6 9◦55.5 -13.4 57.416 58◦30.9 21◦34.3 2◦21.1 12.6 9◦42.1 -13.5 57.417 73◦30.9 21◦33.9 16◦52.7 12.6 9◦28.6 -13.5 57.418 88◦30.8 21◦33.5 31◦24.3 12.6 9◦15.0 -13.6 57.519 103◦30.8 21◦33.1 45◦55.9 12.6 9◦01.4 -13.6 57.520 118◦30.7 21◦32.7 60◦27.5 12.6 8◦47.8 -13.7 57.521 133◦30.6 21◦32.3 74◦59.2 12.7 8◦34.1 -13.7 57.522 148◦30.6 21◦31.9 89◦30.8 12.7 8◦20.3 -13.8 57.523 163◦30.5 21◦31.5 104◦02.5 12.7 8◦06.5 -13.8 57.6

SD.=15.7 d=-0.4 S.D.=15.6

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 –:– –:– –:– –:– –:– –:–70 –:– –:– –:– –:– –:– –:–68 –:– –:– –:– –:– –:– –:–66 –:– –:– 01:27 22:40 –:– –:–64 –:– –:– 02:10 21:59 –:– –:–62 –:– 00:33 02:39 21:31 23:29 –:–60 –:– 01:39 03:00 21:10 22:30 –:–58 –:– 02:12 03:18 20:53 21:58 –:–56 00:31 02:35 03:32 20:38 21:35 23:3254 01:31 02:54 03:45 20:26 21:16 22:3852 02:01 03:10 03:56 20:15 21:01 22:0950 02:23 03:23 04:06 20:05 20:48 21:4745 03:03 03:50 04:26 19:45 20:21 21:0840 03:30 04:10 04:42 19:29 20:01 20:4135 03:51 04:27 04:56 19:15 19:44 20:2030 04:09 04:41 05:08 19:03 19:30 20:0320 04:35 05:04 05:28 18:43 19:07 19:3610 04:56 05:23 05:46 18:26 18:48 19:150 05:14 05:40 06:02 18:09 18:32 18:58-10 05:30 05:56 06:18 17:53 18:16 18:42-20 05:44 06:12 06:35 17:36 18:00 18:27-30 05:59 06:29 06:55 17:17 17:43 18:12-35 06:07 06:39 07:06 17:06 17:33 18:05-40 06:16 06:49 07:19 16:53 17:23 17:56-45 06:25 07:01 07:35 16:37 17:10 17:47-50 06:35 07:16 07:53 16:19 16:56 17:37-52 06:40 07:23 08:02 16:10 16:49 17:32-54 06:45 07:30 08:12 15:60 16:42 17:27-56 06:50 07:38 08:23 15:49 16:34 17:22-58 06:56 07:47 08:36 15:36 16:25 17:16-60 07:02 07:57 08:51 15:21 16:15 17:10

Moonrise MoonsetLat. Mon Tue Wed Mon Tue Wed72 –:– 04:04 06:57 –:– 01:33 00:2170 –:– 05:00 07:18 –:– 00:35 23:3468 03:07 05:33 07:35 00:43 00:01 23:2566 03:59 05:57 07:48 23:36 23:26 23:1764 04:31 06:16 07:58 23:16 23:13 23:1162 04:54 06:31 08:07 22:60 23:03 23:0560 05:13 06:44 08:15 22:46 22:54 22:6058 05:28 06:55 08:22 22:35 22:46 22:5656 05:42 07:04 08:28 22:25 22:40 22:5254 05:53 07:12 08:33 22:16 22:33 22:4852 06:03 07:20 08:38 22:07 22:28 22:4550 06:12 07:27 08:42 22:00 22:23 22:4245 06:31 07:41 08:52 21:45 22:12 22:3540 06:46 07:52 08:60 21:32 22:02 22:3035 06:59 08:02 09:06 21:21 21:54 22:2530 07:10 08:11 09:12 21:11 21:47 22:2120 07:30 08:26 09:22 20:54 21:35 22:1410 07:46 08:39 09:31 20:39 21:24 22:080 08:02 08:51 09:39 20:26 21:14 22:01-10 08:17 09:03 09:47 20:12 21:04 21:55-20 08:34 09:16 09:56 19:57 20:53 21:49-30 08:53 09:31 10:06 19:39 20:40 21:41-35 09:04 09:39 10:11 19:29 20:33 21:37-40 09:16 09:49 10:18 19:18 20:25 21:32-45 09:31 10:00 10:25 19:04 20:15 21:26-50 09:49 10:14 10:34 18:47 20:03 21:19-52 09:57 10:20 10:38 18:39 19:57 21:16-54 10:07 10:27 10:43 18:30 19:51 21:12-56 10:17 10:34 10:48 18:20 19:44 21:08-58 10:29 10:43 10:53 18:09 19:36 21:03-60 10:43 10:53 10:59 17:56 19:27 20:58

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower12 05:38 05:41 12:05 14:13 01:48 2(6%)13 05:45 05:48 12:05 15:02 02:38 3(12%)14 05:52 05:55 12:05 15:50 03:26 4(20%)

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July 15, 16 ,17 (Thu., Fri., Sat.)Aries Venus Mars Jupiter Saturn

Thu GHA GHA Dec GHA Dec GHA Dec GHA Dec0 293◦04.0 148◦35.6 15◦52.6 149◦34.3 15◦42.3 319◦23.8 -12◦01.9 338◦53.2 -18◦03.01 308◦06.4 163◦35.1 15◦51.6 164◦35.3 15◦41.7 334◦26.5 -12◦02.0 353◦55.8 -18◦03.02 323◦08.9 178◦34.6 15◦50.6 179◦36.2 15◦41.2 349◦29.1 -12◦02.0 8◦58.4 -18◦03.13 338◦11.4 193◦34.1 15◦49.6 194◦37.1 15◦40.7 4◦31.8 -12◦02.1 24◦01.1 -18◦03.14 353◦13.8 208◦33.7 15◦48.6 209◦38.1 15◦40.2 19◦34.4 -12◦02.2 39◦03.7 -18◦03.25 8◦16.3 223◦33.2 15◦47.6 224◦39.0 15◦39.7 34◦37.0 -12◦02.3 54◦06.3 -18◦03.26 23◦18.8 238◦32.7 15◦46.6 239◦39.9 15◦39.2 49◦39.7 -12◦02.4 69◦09.0 -18◦03.37 38◦21.2 253◦32.2 15◦45.6 254◦40.9 15◦38.7 64◦42.3 -12◦02.4 84◦11.6 -18◦03.48 53◦23.7 268◦31.7 15◦44.6 269◦41.8 15◦38.2 79◦45.0 -12◦02.5 99◦14.2 -18◦03.49 68◦26.1 283◦31.2 15◦43.6 284◦42.7 15◦37.7 94◦47.6 -12◦02.6 114◦16.9 -18◦03.510 83◦28.6 298◦30.7 15◦42.6 299◦43.7 15◦37.1 109◦50.2 -12◦02.7 129◦19.5 -18◦03.511 98◦31.1 313◦30.2 15◦41.6 314◦44.6 15◦36.6 124◦52.9 -12◦02.7 144◦22.2 -18◦03.612 113◦33.5 328◦29.8 15◦40.6 329◦45.5 15◦36.1 139◦55.5 -12◦02.8 159◦24.8 -18◦03.613 128◦36.0 343◦29.3 15◦39.6 344◦46.5 15◦35.6 154◦58.2 -12◦02.9 174◦27.4 -18◦03.714 143◦38.5 358◦28.8 15◦38.6 359◦47.4 15◦35.1 170◦00.8 -12◦03.0 189◦30.1 -18◦03.715 158◦40.9 13◦28.3 15◦37.6 14◦48.3 15◦34.6 185◦03.5 -12◦03.1 204◦32.7 -18◦03.816 173◦43.4 28◦27.8 15◦36.6 29◦49.3 15◦34.1 200◦06.1 -12◦03.1 219◦35.3 -18◦03.817 188◦45.9 43◦27.3 15◦35.6 44◦50.2 15◦33.6 215◦08.7 -12◦03.2 234◦38.0 -18◦03.918 203◦48.3 58◦26.8 15◦34.6 59◦51.2 15◦33.0 230◦11.4 -12◦03.3 249◦40.6 -18◦03.919 218◦50.8 73◦26.4 15◦33.6 74◦52.1 15◦32.5 245◦14.0 -12◦03.4 264◦43.2 -18◦04.020 233◦53.3 88◦25.9 15◦32.6 89◦53.0 15◦32.0 260◦16.7 -12◦03.5 279◦45.9 -18◦04.021 248◦55.7 103◦25.4 15◦31.6 104◦54.0 15◦31.5 275◦19.3 -12◦03.5 294◦48.5 -18◦04.122 263◦58.2 118◦24.9 15◦30.5 119◦54.9 15◦31.0 290◦22.0 -12◦03.6 309◦51.2 -18◦04.123 279◦00.6 133◦24.4 15◦29.5 134◦55.8 15◦30.5 305◦24.6 -12◦03.7 324◦53.8 -18◦04.2Mer.pass.:4:27: v-0.5 d-1.0 m-3.8 v0.9 d-0.5 m1.8 v2.6 d-0.1 m-2.6 v2.6 d-0.1 m0.3

Fri GHA GHA Dec GHA Dec GHA Dec GHA Dec0 294◦03.1 148◦24.0 15◦28.5 149◦56.8 15◦30.0 320◦27.3 -12◦03.8 339◦56.4 -18◦04.21 309◦05.6 163◦23.5 15◦27.5 164◦57.7 15◦29.5 335◦29.9 -12◦03.8 354◦59.1 -18◦04.32 324◦08.0 178◦23.0 15◦26.5 179◦58.7 15◦28.9 350◦32.6 -12◦03.9 10◦01.7 -18◦04.33 339◦10.5 193◦22.5 15◦25.5 194◦59.6 15◦28.4 5◦35.2 -12◦04.0 25◦04.3 -18◦04.44 354◦13.0 208◦22.1 15◦24.5 210◦00.5 15◦27.9 20◦37.9 -12◦04.1 40◦07.0 -18◦04.45 9◦15.4 223◦21.6 15◦23.5 225◦01.5 15◦27.4 35◦40.5 -12◦04.2 55◦09.6 -18◦04.56 24◦17.9 238◦21.1 15◦22.4 240◦02.4 15◦26.9 50◦43.1 -12◦04.2 70◦12.2 -18◦04.57 39◦20.4 253◦20.6 15◦21.4 255◦03.3 15◦26.4 65◦45.8 -12◦04.3 85◦14.9 -18◦04.68 54◦22.8 268◦20.2 15◦20.4 270◦04.3 15◦25.8 80◦48.4 -12◦04.4 100◦17.5 -18◦04.79 69◦25.3 283◦19.7 15◦19.4 285◦05.2 15◦25.3 95◦51.1 -12◦04.5 115◦20.2 -18◦04.710 84◦27.7 298◦19.2 15◦18.4 300◦06.1 15◦24.8 110◦53.7 -12◦04.6 130◦22.8 -18◦04.811 99◦30.2 313◦18.7 15◦17.4 315◦07.1 15◦24.3 125◦56.4 -12◦04.6 145◦25.4 -18◦04.812 114◦32.7 328◦18.3 15◦16.3 330◦08.0 15◦23.8 140◦59.0 -12◦04.7 160◦28.1 -18◦04.913 129◦35.1 343◦17.8 15◦15.3 345◦09.0 15◦23.3 156◦01.7 -12◦04.8 175◦30.7 -18◦04.914 144◦37.6 358◦17.3 15◦14.3 0◦09.9 15◦22.8 171◦04.3 -12◦04.9 190◦33.3 -18◦05.015 159◦40.1 13◦16.9 15◦13.3 15◦10.8 15◦22.2 186◦07.0 -12◦05.0 205◦36.0 -18◦05.016 174◦42.5 28◦16.4 15◦12.3 30◦11.8 15◦21.7 201◦09.6 -12◦05.0 220◦38.6 -18◦05.117 189◦45.0 43◦15.9 15◦11.2 45◦12.7 15◦21.2 216◦12.3 -12◦05.1 235◦41.3 -18◦05.118 204◦47.5 58◦15.4 15◦10.2 60◦13.7 15◦20.7 231◦14.9 -12◦05.2 250◦43.9 -18◦05.219 219◦49.9 73◦15.0 15◦09.2 75◦14.6 15◦20.2 246◦17.6 -12◦05.3 265◦46.5 -18◦05.220 234◦52.4 88◦14.5 15◦08.2 90◦15.5 15◦19.7 261◦20.2 -12◦05.4 280◦49.2 -18◦05.321 249◦54.9 103◦14.0 15◦07.1 105◦16.5 15◦19.1 276◦22.9 -12◦05.5 295◦51.8 -18◦05.322 264◦57.3 118◦13.6 15◦06.1 120◦17.4 15◦18.6 291◦25.6 -12◦05.5 310◦54.4 -18◦05.423 279◦59.8 133◦13.1 15◦05.1 135◦18.4 15◦18.1 306◦28.2 -12◦05.6 325◦57.1 -18◦05.4Mer.pass.:4:23: v-0.5 d-1.0 m-3.8 v0.9 d-0.5 m1.8 v2.6 d-0.1 m-2.6 v2.6 d-0.1 m0.3

Sat GHA GHA Dec GHA Dec GHA Dec GHA Dec0 295◦02.2 148◦12.6 15◦04.1 150◦19.3 15◦17.6 321◦30.9 -12◦05.7 340◦59.7 -18◦05.51 310◦04.7 163◦12.2 15◦03.0 165◦20.2 15◦17.1 336◦33.5 -12◦05.8 356◦02.4 -18◦05.52 325◦07.2 178◦11.7 15◦02.0 180◦21.2 15◦16.5 351◦36.2 -12◦05.9 11◦05.0 -18◦05.63 340◦09.6 193◦11.2 15◦01.0 195◦22.1 15◦16.0 6◦38.8 -12◦05.9 26◦07.6 -18◦05.64 355◦12.1 208◦10.8 14◦60.0 210◦23.0 15◦15.5 21◦41.5 -12◦06.0 41◦10.3 -18◦05.75 10◦14.6 223◦10.3 14◦58.9 225◦24.0 15◦15.0 36◦44.1 -12◦06.1 56◦12.9 -18◦05.86 25◦17.0 238◦09.9 14◦57.9 240◦24.9 15◦14.5 51◦46.8 -12◦06.2 71◦15.6 -18◦05.87 40◦19.5 253◦09.4 14◦56.9 255◦25.9 15◦14.0 66◦49.4 -12◦06.3 86◦18.2 -18◦05.98 55◦22.0 268◦08.9 14◦55.8 270◦26.8 15◦13.4 81◦52.1 -12◦06.3 101◦20.8 -18◦05.99 70◦24.4 283◦08.5 14◦54.8 285◦27.7 15◦12.9 96◦54.7 -12◦06.4 116◦23.5 -18◦06.010 85◦26.9 298◦08.0 14◦53.8 300◦28.7 15◦12.4 111◦57.4 -12◦06.5 131◦26.1 -18◦06.011 100◦29.4 313◦07.6 14◦52.7 315◦29.6 15◦11.9 127◦00.1 -12◦06.6 146◦28.7 -18◦06.112 115◦31.8 328◦07.1 14◦51.7 330◦30.6 15◦11.4 142◦02.7 -12◦06.7 161◦31.4 -18◦06.113 130◦34.3 343◦06.6 14◦50.7 345◦31.5 15◦10.8 157◦05.4 -12◦06.8 176◦34.0 -18◦06.214 145◦36.7 358◦06.2 14◦49.6 0◦32.4 15◦10.3 172◦08.0 -12◦06.8 191◦36.7 -18◦06.215 160◦39.2 13◦05.7 14◦48.6 15◦33.4 15◦09.8 187◦10.7 -12◦06.9 206◦39.3 -18◦06.316 175◦41.7 28◦05.3 14◦47.5 30◦34.3 15◦09.3 202◦13.3 -12◦07.0 221◦41.9 -18◦06.317 190◦44.1 43◦04.8 14◦46.5 45◦35.3 15◦08.7 217◦16.0 -12◦07.1 236◦44.6 -18◦06.418 205◦46.6 58◦04.4 14◦45.5 60◦36.2 15◦08.2 232◦18.7 -12◦07.2 251◦47.2 -18◦06.419 220◦49.1 73◦03.9 14◦44.4 75◦37.2 15◦07.7 247◦21.3 -12◦07.3 266◦49.9 -18◦06.520 235◦51.5 88◦03.4 14◦43.4 90◦38.1 15◦07.2 262◦24.0 -12◦07.3 281◦52.5 -18◦06.521 250◦54.0 103◦03.0 14◦42.4 105◦39.0 15◦06.7 277◦26.6 -12◦07.4 296◦55.1 -18◦06.622 265◦56.5 118◦02.5 14◦41.3 120◦40.0 15◦06.1 292◦29.3 -12◦07.5 311◦57.8 -18◦06.623 280◦58.9 133◦02.1 14◦40.3 135◦40.9 15◦05.6 307◦31.9 -12◦07.6 327◦00.4 -18◦06.7Mer.pass.:4:19: v-0.5 d-1.0 m-3.8 v0.9 d-0.5 m1.8 v2.7 d-0.1 m-2.6 v2.6 d-0.1 m0.3

StarsSHA Dec

Alpheratz 357◦37.6 29◦12.4Ankaa 353◦09.9 -42◦11.2

Schedar 349◦34.1 56◦39.0Diphda 348◦50.0 -17◦52.1

Achernar 335◦22.4 -57◦07.4Hamal 327◦54.5 23◦33.7Polaris 315◦31.8 89◦20.9Akamar 315◦14.1 -40◦12.9Menkar 314◦09.2 4◦10.4Mirfak 308◦32.5 49◦56.0

Aldebaran 290◦43.1 16◦33.1Rigel 281◦06.9 -8◦10.6

Capella 280◦26.5 46◦01.1Bellatrix 278◦26.2 6◦22.1Elnath 278◦05.8 28◦37.4Alnilam 275◦40.9 -1◦11.3

Betelgeuse 270◦55.5 7◦24.6Canopus 263◦54.2 -52◦42.3

Sirius 258◦29.0 -16◦44.5Adara 255◦08.5 -29◦00.0

Procyon 244◦54.1 5◦10.4Pollux 243◦21.1 27◦58.5Avior 234◦16.5 -59◦34.7Suhail 222◦48.8 -43◦31.2

Miaplacidus 221◦39.6 -69◦48.4Alphard 217◦50.8 -8◦45.0Regulus 207◦37.7 11◦51.9Dubhe 193◦45.0 61◦38.4

Denebola 182◦27.9 14◦27.3Gienah 175◦46.6 -17◦39.6Acrux 173◦03.4 -63◦13.3

Gacrux 171◦54.9 -57◦14.2Alioth 166◦15.7 55◦51.0Spica 158◦25.3 -11◦16.3Alcaid 152◦54.3 49◦12.7Hadar 148◦39.9 -60◦28.8

Menkent 148◦00.9 -36◦28.6Arcturus 145◦50.3 19◦04.8

Rigil Kent. 139◦43.9 -60◦55.6Zubenelg. 136◦59.0 -16◦07.8Kochab 137◦19.4 74◦04.4

Alphecca 126◦06.0 26◦38.8Antares 112◦19.0 -26◦28.7

Atria 107◦15.3 -69◦04.0Sabik 102◦05.7 -15◦45.0

Shaula 96◦13.8 -37◦07.1Rasalhague 96◦00.9 12◦32.8

Etamin 90◦43.0 51◦29.3Kaus Aust. 83◦35.9 -34◦22.4

Vega 80◦34.7 38◦48.3Nunki 75◦50.9 -26◦16.1Altair 62◦02.4 8◦55.5

Peacock 53◦09.6 -56◦39.8Deneb 49◦27.2 45◦21.3

Enif 33◦41.3 9◦58.4Alnair 27◦36.2 -46◦51.2

Fomalhaut 15◦17.5 -29◦30.4Scheat 13◦47.7 28◦11.8Markab 13◦32.5 15◦19.2

2021/7/1 SHA Mer.passVenus 215◦31.6 14:06Mars 216◦30.3 14:01

Jupiter 26◦19.9 02:42Saturn 45◦49.2 01:24

2021/7/1 SHA Mer.passVenus 214◦20.9 14:07Mars 215◦53.7 13:59

Jupiter 26◦24.2 02:38Saturn 45◦53.3 01:20

2021/7/1 SHA Mer.passVenus 213◦10.4 14:08Mars 215◦17.0 13:58

Jupiter 26◦28.6 02:33Saturn 45◦57.5 01:16

Horizontal paralaxVenus: 0.1Mars: 0.1

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2021 July 15 to Jul. 17

h Sun MoonThu GHA Dec GHA ν Dec d HP0 178◦30.4 21◦31.2 118◦34.2 12.7 7◦52.6 -13.9 57.61 193◦30.4 21◦30.8 133◦05.9 12.7 7◦38.7 -13.9 57.62 208◦30.3 21◦30.4 147◦37.6 12.7 7◦24.8 -14.0 57.63 223◦30.2 21◦30.0 162◦09.4 12.7 7◦10.8 -14.0 57.74 238◦30.2 21◦29.6 176◦41.1 12.7 6◦56.7 -14.1 57.75 253◦30.1 21◦29.2 191◦12.8 12.8 6◦42.7 -14.1 57.76 268◦30.0 21◦28.8 205◦44.6 12.8 6◦28.5 -14.1 57.77 283◦30.0 21◦28.4 220◦16.3 12.8 6◦14.4 -14.2 57.78 298◦29.9 21◦28.0 234◦48.1 12.8 6◦00.2 -14.2 57.89 313◦29.9 21◦27.6 249◦19.9 12.8 5◦45.9 -14.3 57.810 328◦29.8 21◦27.2 263◦51.7 12.8 5◦31.6 -14.3 57.811 343◦29.7 21◦26.8 278◦23.4 12.8 5◦17.3 -14.3 57.812 358◦29.7 21◦26.4 292◦55.2 12.8 5◦03.0 -14.4 57.913 13◦29.6 21◦26.0 307◦27.0 12.8 4◦48.6 -14.4 57.914 28◦29.5 21◦25.6 321◦58.8 12.8 4◦34.2 -14.4 57.915 43◦29.5 21◦25.2 336◦30.5 12.8 4◦19.7 -14.5 57.916 58◦29.4 21◦24.8 351◦02.3 12.8 4◦05.2 -14.5 57.917 73◦29.4 21◦24.4 5◦34.1 12.8 3◦50.7 -14.5 58.018 88◦29.3 21◦24.0 20◦05.9 12.8 3◦36.1 -14.6 58.019 103◦29.2 21◦23.5 34◦37.6 12.8 3◦21.6 -14.6 58.020 118◦29.2 21◦23.1 49◦09.4 12.7 3◦07.0 -14.6 58.021 133◦29.1 21◦22.7 63◦41.1 12.7 2◦52.3 -14.6 58.122 148◦29.1 21◦22.3 78◦12.8 12.7 2◦37.7 -14.7 58.123 163◦29.0 21◦21.9 92◦44.6 12.7 2◦23.0 -14.7 58.1

SD.=15.7 d=-0.4 S.D.=15.7

Fri GHA Dec GHA ν Dec d HP0 178◦28.9 21◦21.5 107◦16.3 12.7 2◦08.3 -14.7 58.11 193◦28.9 21◦21.1 121◦48.0 12.7 1◦53.6 -14.7 58.22 208◦28.8 21◦20.7 136◦19.7 12.7 1◦38.9 -14.7 58.23 223◦28.8 21◦20.3 150◦51.3 12.7 1◦24.1 -14.8 58.24 238◦28.7 21◦19.9 165◦23.0 12.6 1◦09.3 -14.8 58.25 253◦28.7 21◦19.5 179◦54.6 12.6 0◦54.5 -14.8 58.26 268◦28.6 21◦19.0 194◦26.2 12.6 0◦39.7 -14.8 58.37 283◦28.5 21◦18.6 208◦57.8 12.6 0◦24.9 -14.8 58.38 298◦28.5 21◦18.2 223◦29.4 12.6 0◦10.1 -14.8 58.39 313◦28.4 21◦17.8 238◦01.0 12.5 -0◦04.8 -14.9 58.310 328◦28.4 21◦17.4 252◦32.5 12.5 -0◦19.6 -14.9 58.411 343◦28.3 21◦17.0 267◦04.0 12.5 -0◦34.5 -14.9 58.412 358◦28.3 21◦16.6 281◦35.5 12.5 -0◦49.4 -14.9 58.413 13◦28.2 21◦16.1 296◦06.9 12.4 -1◦04.2 -14.9 58.414 28◦28.1 21◦15.7 310◦38.4 12.4 -1◦19.1 -14.9 58.415 43◦28.1 21◦15.3 325◦09.8 12.4 -1◦34.0 -14.9 58.516 58◦28.0 21◦14.9 339◦41.1 12.4 -1◦48.9 -14.9 58.517 73◦28.0 21◦14.5 354◦12.5 12.3 -2◦03.8 -14.9 58.518 88◦27.9 21◦14.0 8◦43.8 12.3 -2◦18.7 -14.9 58.519 103◦27.9 21◦13.6 23◦15.0 12.3 -2◦33.6 -14.9 58.620 118◦27.8 21◦13.2 37◦46.3 12.2 -2◦48.5 -14.9 58.621 133◦27.8 21◦12.8 52◦17.5 12.2 -3◦03.4 -14.9 58.622 148◦27.7 21◦12.3 66◦48.6 12.1 -3◦18.3 -14.9 58.623 163◦27.7 21◦11.9 81◦19.8 12.1 -3◦33.2 -14.9 58.6

SD.=15.7 d=-0.4 S.D.=15.9

Sat GHA Dec GHA ν Dec d HP0 178◦27.6 21◦11.5 95◦50.8 12.1 -3◦48.1 -14.9 58.71 193◦27.6 21◦11.1 110◦21.9 12.0 -4◦02.9 -14.9 58.72 208◦27.5 21◦10.7 124◦52.9 12.0 -4◦17.8 -14.9 58.73 223◦27.4 21◦10.2 139◦23.8 11.9 -4◦32.6 -14.8 58.74 238◦27.4 21◦09.8 153◦54.8 11.9 -4◦47.5 -14.8 58.85 253◦27.3 21◦09.4 168◦25.6 11.8 -5◦02.3 -14.8 58.86 268◦27.3 21◦08.9 182◦56.4 11.8 -5◦17.1 -14.8 58.87 283◦27.2 21◦08.5 197◦27.2 11.7 -5◦31.9 -14.8 58.88 298◦27.2 21◦08.1 211◦57.9 11.7 -5◦46.7 -14.8 58.89 313◦27.1 21◦07.7 226◦28.6 11.6 -6◦01.4 -14.7 58.910 328◦27.1 21◦07.2 240◦59.2 11.6 -6◦16.2 -14.7 58.911 343◦27.0 21◦06.8 255◦29.8 11.5 -6◦30.9 -14.7 58.912 358◦27.0 21◦06.4 270◦00.3 11.5 -6◦45.6 -14.7 58.913 13◦26.9 21◦05.9 284◦30.7 11.4 -7◦00.2 -14.7 58.914 28◦26.9 21◦05.5 299◦01.1 11.4 -7◦14.9 -14.6 59.015 43◦26.8 21◦05.1 313◦31.5 11.3 -7◦29.5 -14.6 59.016 58◦26.8 21◦04.6 328◦01.8 11.3 -7◦44.1 -14.6 59.017 73◦26.7 21◦04.2 342◦32.0 11.2 -7◦58.6 -14.5 59.018 88◦26.7 21◦03.8 357◦02.1 11.1 -8◦13.2 -14.5 59.119 103◦26.6 21◦03.3 11◦32.2 11.1 -8◦27.7 -14.5 59.120 118◦26.6 21◦02.9 26◦02.3 11.0 -8◦42.1 -14.4 59.121 133◦26.5 21◦02.5 40◦32.2 10.9 -8◦56.6 -14.4 59.122 148◦26.5 21◦02.0 55◦02.1 10.9 -9◦10.9 -14.4 59.123 163◦26.4 21◦01.6 69◦32.0 10.8 -9◦25.3 -14.3 59.2

SD.=15.7 d=-0.4 S.D.=16.0

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 –:– –:– –:– –:– –:– –:–70 –:– –:– –:– –:– –:– –:–68 –:– –:– –:– –:– –:– –:–66 –:– –:– 01:41 22:28 –:– –:–64 –:– –:– 02:19 21:51 –:– –:–62 –:– 00:58 02:45 21:25 23:08 –:–60 –:– 01:49 03:06 21:05 22:21 –:–58 –:– 02:19 03:23 20:48 21:52 –:–56 00:53 02:41 03:37 20:35 21:30 23:1354 01:40 02:59 03:49 20:23 21:12 22:3052 02:08 03:14 03:59 20:12 20:57 22:0350 02:29 03:27 04:09 20:03 20:44 21:4245 03:06 03:53 04:29 19:43 20:19 21:0540 03:33 04:13 04:45 19:27 19:59 20:3835 03:54 04:29 04:58 19:14 19:43 20:1830 04:11 04:43 05:10 19:02 19:29 20:0120 04:37 05:05 05:30 18:42 19:07 19:3510 04:57 05:24 05:47 18:25 18:48 19:150 05:15 05:40 06:03 18:10 18:32 18:58-10 05:30 05:56 06:18 17:54 18:17 18:42-20 05:44 06:11 06:35 17:37 18:01 18:28-30 05:59 06:28 06:54 17:18 17:44 18:14-35 06:06 06:37 07:05 17:07 17:35 18:06-40 06:14 06:48 07:18 16:55 17:25 17:58-45 06:23 06:60 07:32 16:40 17:13 17:49-50 06:33 07:14 07:51 16:22 16:59 17:39-52 06:38 07:20 07:59 16:13 16:53 17:35-54 06:42 07:27 08:09 16:04 16:46 17:30-56 06:47 07:35 08:20 15:53 16:38 17:25-58 06:53 07:44 08:32 15:41 16:29 17:20-60 06:59 07:53 08:47 15:26 16:19 17:14

Moonrise MoonsetLat. Thu Fri Sat Thu Fri Sat72 09:13 11:22 13:36 23:16 22:49 22:1870 09:22 11:21 13:25 23:14 22:54 22:3268 09:28 11:20 13:16 23:11 22:58 22:4366 09:34 11:20 13:08 23:09 23:01 22:5364 09:39 11:19 13:02 23:07 23:04 23:0162 09:43 11:18 12:56 23:06 23:07 23:0860 09:46 11:18 12:52 23:04 23:09 23:1458 09:49 11:17 12:48 23:03 23:11 23:1956 09:52 11:17 12:44 23:02 23:13 23:2454 09:55 11:17 12:41 23:01 23:14 23:2852 09:57 11:16 12:38 23:00 23:16 23:3250 09:59 11:16 12:35 22:60 23:17 23:3645 10:03 11:16 12:30 22:58 23:20 23:4440 10:07 11:15 12:25 22:56 23:22 23:5035 10:10 11:15 12:21 22:55 23:25 23:5630 10:13 11:14 12:17 22:54 23:26 –:–20 10:18 11:14 12:11 22:52 23:30 –:–10 10:22 11:13 12:06 22:50 23:33 –:–0 10:26 11:13 12:01 22:48 23:35 –:–-10 10:30 11:12 11:56 22:46 23:38 –:–-20 10:34 11:12 11:50 22:44 23:41 –:–-30 10:39 11:11 11:45 22:42 23:44 –:–-35 10:42 11:11 11:41 22:41 23:46 –:–-40 10:45 11:11 11:37 22:39 23:48 –:–-45 10:48 11:10 11:33 22:38 23:51 –:–-50 10:53 11:10 11:28 22:36 23:54 –:–-52 10:54 11:10 11:26 22:35 23:55 –:–-54 10:57 11:10 11:23 22:34 23:56 –:–-56 10:59 11:09 11:20 22:32 23:58 –:–-58 11:02 11:09 11:17 22:31 23:60 –:–-60 11:04 11:09 11:14 22:30 –:– 00:02

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower15 05:58 06:01 12:06 16:37 04:13 5(29%)16 06:04 06:07 12:06 17:23 05:00 6(40%)17 06:10 06:12 12:06 18:12 05:47 7(51%)

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July 18, 19 ,20 (Sun., Mon., Tue.)Aries Venus Mars Jupiter Saturn

Sun GHA GHA Dec GHA Dec GHA Dec GHA Dec0 296◦01.4 148◦01.6 14◦39.2 150◦41.9 15◦05.1 322◦34.6 -12◦07.7 342◦03.1 -18◦06.71 311◦03.8 163◦01.2 14◦38.2 165◦42.8 15◦04.6 337◦37.3 -12◦07.8 357◦05.7 -18◦06.82 326◦06.3 178◦00.7 14◦37.1 180◦43.7 15◦04.1 352◦39.9 -12◦07.8 12◦08.3 -18◦06.93 341◦08.8 193◦00.3 14◦36.1 195◦44.7 15◦03.5 7◦42.6 -12◦07.9 27◦11.0 -18◦06.94 356◦11.2 207◦59.8 14◦35.0 210◦45.6 15◦03.0 22◦45.2 -12◦08.0 42◦13.6 -18◦07.05 11◦13.7 222◦59.4 14◦34.0 225◦46.6 15◦02.5 37◦47.9 -12◦08.1 57◦16.3 -18◦07.06 26◦16.2 237◦58.9 14◦33.0 240◦47.5 15◦02.0 52◦50.6 -12◦08.2 72◦18.9 -18◦07.17 41◦18.6 252◦58.5 14◦31.9 255◦48.5 15◦01.4 67◦53.2 -12◦08.3 87◦21.5 -18◦07.18 56◦21.1 267◦58.0 14◦30.9 270◦49.4 15◦00.9 82◦55.9 -12◦08.3 102◦24.2 -18◦07.29 71◦23.6 282◦57.6 14◦29.8 285◦50.3 15◦00.4 97◦58.6 -12◦08.4 117◦26.8 -18◦07.210 86◦26.0 297◦57.1 14◦28.8 300◦51.3 14◦59.9 113◦01.2 -12◦08.5 132◦29.5 -18◦07.311 101◦28.5 312◦56.7 14◦27.7 315◦52.2 14◦59.3 128◦03.9 -12◦08.6 147◦32.1 -18◦07.312 116◦31.0 327◦56.2 14◦26.7 330◦53.2 14◦58.8 143◦06.5 -12◦08.7 162◦34.7 -18◦07.413 131◦33.4 342◦55.8 14◦25.6 345◦54.1 14◦58.3 158◦09.2 -12◦08.8 177◦37.4 -18◦07.414 146◦35.9 357◦55.4 14◦24.6 0◦55.0 14◦57.8 173◦11.9 -12◦08.9 192◦40.0 -18◦07.515 161◦38.3 12◦54.9 14◦23.5 15◦56.0 14◦57.2 188◦14.5 -12◦08.9 207◦42.7 -18◦07.516 176◦40.8 27◦54.5 14◦22.5 30◦56.9 14◦56.7 203◦17.2 -12◦09.0 222◦45.3 -18◦07.617 191◦43.3 42◦54.0 14◦21.4 45◦57.9 14◦56.2 218◦19.9 -12◦09.1 237◦47.9 -18◦07.618 206◦45.7 57◦53.6 14◦20.3 60◦58.8 14◦55.7 233◦22.5 -12◦09.2 252◦50.6 -18◦07.719 221◦48.2 72◦53.1 14◦19.3 75◦59.8 14◦55.1 248◦25.2 -12◦09.3 267◦53.2 -18◦07.820 236◦50.7 87◦52.7 14◦18.2 91◦00.7 14◦54.6 263◦27.8 -12◦09.4 282◦55.9 -18◦07.821 251◦53.1 102◦52.3 14◦17.2 106◦01.7 14◦54.1 278◦30.5 -12◦09.4 297◦58.5 -18◦07.922 266◦55.6 117◦51.8 14◦16.1 121◦02.6 14◦53.6 293◦33.2 -12◦09.5 313◦01.1 -18◦07.923 281◦58.1 132◦51.4 14◦15.1 136◦03.5 14◦53.0 308◦35.8 -12◦09.6 328◦03.8 -18◦08.0Mer.pass.:4:15: v-0.5 d-1.0 m-3.8 v0.9 d-0.5 m1.8 v2.7 d-0.1 m-2.6 v2.6 d-0.1 m0.2

Mon GHA GHA Dec GHA Dec GHA Dec GHA Dec0 297◦00.5 147◦50.9 14◦14.0 151◦04.5 14◦52.5 323◦38.5 -12◦09.7 343◦06.4 -18◦08.01 312◦03.0 162◦50.5 14◦13.0 166◦05.4 14◦52.0 338◦41.2 -12◦09.8 358◦09.1 -18◦08.12 327◦05.5 177◦50.1 14◦11.9 181◦06.4 14◦51.5 353◦43.8 -12◦09.9 13◦11.7 -18◦08.13 342◦07.9 192◦49.6 14◦10.8 196◦07.3 14◦50.9 8◦46.5 -12◦10.0 28◦14.4 -18◦08.24 357◦10.4 207◦49.2 14◦09.8 211◦08.3 14◦50.4 23◦49.2 -12◦10.0 43◦17.0 -18◦08.25 12◦12.8 222◦48.8 14◦08.7 226◦09.2 14◦49.9 38◦51.8 -12◦10.1 58◦19.6 -18◦08.36 27◦15.3 237◦48.3 14◦07.7 241◦10.1 14◦49.4 53◦54.5 -12◦10.2 73◦22.3 -18◦08.37 42◦17.8 252◦47.9 14◦06.6 256◦11.1 14◦48.8 68◦57.2 -12◦10.3 88◦24.9 -18◦08.48 57◦20.2 267◦47.4 14◦05.5 271◦12.0 14◦48.3 83◦59.8 -12◦10.4 103◦27.6 -18◦08.49 72◦22.7 282◦47.0 14◦04.5 286◦13.0 14◦47.8 99◦02.5 -12◦10.5 118◦30.2 -18◦08.510 87◦25.2 297◦46.6 14◦03.4 301◦13.9 14◦47.2 114◦05.2 -12◦10.6 133◦32.8 -18◦08.511 102◦27.6 312◦46.1 14◦02.3 316◦14.9 14◦46.7 129◦07.8 -12◦10.7 148◦35.5 -18◦08.612 117◦30.1 327◦45.7 14◦01.3 331◦15.8 14◦46.2 144◦10.5 -12◦10.7 163◦38.1 -18◦08.713 132◦32.6 342◦45.3 14◦00.2 346◦16.8 14◦45.7 159◦13.2 -12◦10.8 178◦40.8 -18◦08.714 147◦35.0 357◦44.8 13◦59.1 1◦17.7 14◦45.1 174◦15.8 -12◦10.9 193◦43.4 -18◦08.815 162◦37.5 12◦44.4 13◦58.1 16◦18.7 14◦44.6 189◦18.5 -12◦11.0 208◦46.1 -18◦08.816 177◦40.0 27◦44.0 13◦57.0 31◦19.6 14◦44.1 204◦21.2 -12◦11.1 223◦48.7 -18◦08.917 192◦42.4 42◦43.6 13◦55.9 46◦20.5 14◦43.6 219◦23.9 -12◦11.2 238◦51.3 -18◦08.918 207◦44.9 57◦43.1 13◦54.9 61◦21.5 14◦43.0 234◦26.5 -12◦11.3 253◦54.0 -18◦09.019 222◦47.3 72◦42.7 13◦53.8 76◦22.4 14◦42.5 249◦29.2 -12◦11.3 268◦56.6 -18◦09.020 237◦49.8 87◦42.3 13◦52.7 91◦23.4 14◦42.0 264◦31.9 -12◦11.4 283◦59.3 -18◦09.121 252◦52.3 102◦41.8 13◦51.7 106◦24.3 14◦41.4 279◦34.5 -12◦11.5 299◦01.9 -18◦09.122 267◦54.7 117◦41.4 13◦50.6 121◦25.3 14◦40.9 294◦37.2 -12◦11.6 314◦04.6 -18◦09.223 282◦57.2 132◦41.0 13◦49.5 136◦26.2 14◦40.4 309◦39.9 -12◦11.7 329◦07.2 -18◦09.2Mer.pass.:4:11: v-0.4 d-1.1 m-3.9 v0.9 d-0.5 m1.8 v2.7 d-0.1 m-2.6 v2.6 d-0.1 m0.2

Tue GHA GHA Dec GHA Dec GHA Dec GHA Dec0 297◦59.7 147◦40.6 13◦48.4 151◦27.2 14◦39.8 324◦42.6 -12◦11.8 344◦09.8 -18◦09.31 313◦02.1 162◦40.1 13◦47.4 166◦28.1 14◦39.3 339◦45.2 -12◦11.9 359◦12.5 -18◦09.32 328◦04.6 177◦39.7 13◦46.3 181◦29.1 14◦38.8 354◦47.9 -12◦12.0 14◦15.1 -18◦09.43 343◦07.1 192◦39.3 13◦45.2 196◦30.0 14◦38.3 9◦50.6 -12◦12.1 29◦17.8 -18◦09.44 358◦09.5 207◦38.9 13◦44.1 211◦30.9 14◦37.7 24◦53.2 -12◦12.1 44◦20.4 -18◦09.55 13◦12.0 222◦38.4 13◦43.1 226◦31.9 14◦37.2 39◦55.9 -12◦12.2 59◦23.0 -18◦09.66 28◦14.4 237◦38.0 13◦42.0 241◦32.8 14◦36.7 54◦58.6 -12◦12.3 74◦25.7 -18◦09.67 43◦16.9 252◦37.6 13◦40.9 256◦33.8 14◦36.1 70◦01.3 -12◦12.4 89◦28.3 -18◦09.78 58◦19.4 267◦37.2 13◦39.8 271◦34.7 14◦35.6 85◦03.9 -12◦12.5 104◦31.0 -18◦09.79 73◦21.8 282◦36.7 13◦38.8 286◦35.7 14◦35.1 100◦06.6 -12◦12.6 119◦33.6 -18◦09.810 88◦24.3 297◦36.3 13◦37.7 301◦36.6 14◦34.5 115◦09.3 -12◦12.7 134◦36.3 -18◦09.811 103◦26.8 312◦35.9 13◦36.6 316◦37.6 14◦34.0 130◦12.0 -12◦12.8 149◦38.9 -18◦09.912 118◦29.2 327◦35.5 13◦35.5 331◦38.5 14◦33.5 145◦14.6 -12◦12.8 164◦41.6 -18◦09.913 133◦31.7 342◦35.1 13◦34.4 346◦39.5 14◦32.9 160◦17.3 -12◦12.9 179◦44.2 -18◦10.014 148◦34.2 357◦34.6 13◦33.4 1◦40.4 14◦32.4 175◦20.0 -12◦13.0 194◦46.8 -18◦10.015 163◦36.6 12◦34.2 13◦32.3 16◦41.4 14◦31.9 190◦22.7 -12◦13.1 209◦49.5 -18◦10.116 178◦39.1 27◦33.8 13◦31.2 31◦42.3 14◦31.3 205◦25.3 -12◦13.2 224◦52.1 -18◦10.117 193◦41.6 42◦33.4 13◦30.1 46◦43.3 14◦30.8 220◦28.0 -12◦13.3 239◦54.8 -18◦10.218 208◦44.0 57◦33.0 13◦29.0 61◦44.2 14◦30.3 235◦30.7 -12◦13.4 254◦57.4 -18◦10.219 223◦46.5 72◦32.6 13◦27.9 76◦45.2 14◦29.7 250◦33.4 -12◦13.5 270◦00.1 -18◦10.320 238◦48.9 87◦32.1 13◦26.9 91◦46.1 14◦29.2 265◦36.0 -12◦13.6 285◦02.7 -18◦10.421 253◦51.4 102◦31.7 13◦25.8 106◦47.1 14◦28.7 280◦38.7 -12◦13.6 300◦05.3 -18◦10.422 268◦53.9 117◦31.3 13◦24.7 121◦48.0 14◦28.1 295◦41.4 -12◦13.7 315◦08.0 -18◦10.523 283◦56.3 132◦30.9 13◦23.6 136◦48.9 14◦27.6 310◦44.1 -12◦13.8 330◦10.6 -18◦10.5Mer.pass.:4:07: v-0.4 d-1.1 m-3.9 v0.9 d-0.5 m1.8 v2.7 d-0.1 m-2.6 v2.6 d-0.1 m0.2

StarsSHA Dec

Alpheratz 357◦37.5 29◦12.4Ankaa 353◦09.8 -42◦11.2

Schedar 349◦34.0 56◦39.0Diphda 348◦50.0 -17◦52.1

Achernar 335◦22.4 -57◦07.4Hamal 327◦54.4 23◦33.7Polaris 315◦30.2 89◦20.9Akamar 315◦14.1 -40◦12.9Menkar 314◦09.2 4◦10.4Mirfak 308◦32.5 49◦56.0

Aldebaran 290◦43.1 16◦33.1Rigel 281◦06.9 -8◦10.6

Capella 280◦26.5 46◦01.1Bellatrix 278◦26.2 6◦22.1Elnath 278◦05.8 28◦37.4Alnilam 275◦40.9 -1◦11.3

Betelgeuse 270◦55.5 7◦24.6Canopus 263◦54.2 -52◦42.3

Sirius 258◦29.0 -16◦44.5Adara 255◦08.5 -29◦00.0

Procyon 244◦54.1 5◦10.4Pollux 243◦21.1 27◦58.5Avior 234◦16.5 -59◦34.7Suhail 222◦48.8 -43◦31.2

Miaplacidus 221◦39.7 -69◦48.4Alphard 217◦50.8 -8◦45.0Regulus 207◦37.7 11◦51.9Dubhe 193◦45.0 61◦38.4

Denebola 182◦27.9 14◦27.3Gienah 175◦46.6 -17◦39.6Acrux 173◦03.4 -63◦13.3

Gacrux 171◦54.9 -57◦14.2Alioth 166◦15.7 55◦51.0Spica 158◦25.3 -11◦16.3Alcaid 152◦54.3 49◦12.7Hadar 148◦39.9 -60◦28.8

Menkent 148◦00.9 -36◦28.6Arcturus 145◦50.3 19◦04.8

Rigil Kent. 139◦43.9 -60◦55.6Zubenelg. 136◦59.0 -16◦07.8Kochab 137◦19.5 74◦04.4

Alphecca 126◦06.0 26◦38.8Antares 112◦19.0 -26◦28.7

Atria 107◦15.4 -69◦04.1Sabik 102◦05.7 -15◦45.0

Shaula 96◦13.9 -37◦07.1Rasalhague 96◦00.9 12◦32.8

Etamin 90◦43.0 51◦29.3Kaus Aust. 83◦35.9 -34◦22.4

Vega 80◦34.7 38◦48.3Nunki 75◦50.9 -26◦16.1Altair 62◦02.4 8◦55.5

Peacock 53◦09.6 -56◦39.8Deneb 49◦27.2 45◦21.4

Enif 33◦41.3 9◦58.4Alnair 27◦36.2 -46◦51.2

Fomalhaut 15◦17.5 -29◦30.4Scheat 13◦47.7 28◦11.8Markab 13◦32.5 15◦19.2

2021/7/1 SHA Mer.passVenus 212◦00.3 14:08Mars 214◦40.5 13:56

Jupiter 26◦33.2 02:29Saturn 46◦01.7 01:12

2021/7/1 SHA Mer.passVenus 210◦50.4 14:09Mars 214◦04.0 13:55

Jupiter 26◦38.0 02:25Saturn 46◦05.9 01:07

2021/7/2 SHA Mer.passVenus 209◦40.9 14:10Mars 213◦27.5 13:53

Jupiter 26◦42.9 02:21Saturn 46◦10.2 01:03

Horizontal paralaxVenus: 0.1Mars: 0.1

134

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2021 July 18 to Jul. 20

h Sun MoonSun GHA Dec GHA ν Dec d HP0 178◦26.4 21◦01.1 84◦01.7 10.7 -9◦39.6 -14.3 59.21 193◦26.4 21◦00.7 98◦31.4 10.7 -9◦53.9 -14.2 59.22 208◦26.3 21◦00.3 113◦01.1 10.6 -10◦08.1 -14.2 59.23 223◦26.3 20◦59.8 127◦30.6 10.5 -10◦22.3 -14.2 59.24 238◦26.2 20◦59.4 142◦00.1 10.4 -10◦36.4 -14.1 59.35 253◦26.2 20◦58.9 156◦29.5 10.4 -10◦50.5 -14.1 59.36 268◦26.1 20◦58.5 170◦58.9 10.3 -11◦04.5 -14.0 59.37 283◦26.1 20◦58.0 185◦28.1 10.2 -11◦18.5 -14.0 59.38 298◦26.0 20◦57.6 199◦57.3 10.1 -11◦32.4 -13.9 59.39 313◦26.0 20◦57.2 214◦26.4 10.1 -11◦46.3 -13.9 59.410 328◦25.9 20◦56.7 228◦55.4 10.0 -12◦00.1 -13.8 59.411 343◦25.9 20◦56.3 243◦24.4 9.9 -12◦13.9 -13.7 59.412 358◦25.8 20◦55.8 257◦53.3 9.8 -12◦27.6 -13.7 59.413 13◦25.8 20◦55.4 272◦22.0 9.7 -12◦41.3 -13.6 59.414 28◦25.8 20◦54.9 286◦50.7 9.7 -12◦54.8 -13.6 59.415 43◦25.7 20◦54.5 301◦19.4 9.6 -13◦08.4 -13.5 59.516 58◦25.7 20◦54.0 315◦47.9 9.5 -13◦21.8 -13.4 59.517 73◦25.6 20◦53.6 330◦16.4 9.4 -13◦35.2 -13.4 59.518 88◦25.6 20◦53.1 344◦44.7 9.3 -13◦48.5 -13.3 59.519 103◦25.5 20◦52.7 359◦13.0 9.2 -14◦01.8 -13.2 59.520 118◦25.5 20◦52.2 13◦41.2 9.2 -14◦14.9 -13.1 59.621 133◦25.5 20◦51.8 28◦09.3 9.1 -14◦28.1 -13.1 59.622 148◦25.4 20◦51.3 42◦37.3 9.0 -14◦41.1 -13.0 59.623 163◦25.4 20◦50.9 57◦05.3 8.9 -14◦54.0 -12.9 59.6

SD.=15.7 d=-0.4 S.D.=16.1

Mon GHA Dec GHA ν Dec d HP0 178◦25.3 20◦50.4 71◦33.1 8.8 -15◦06.9 -12.8 59.61 193◦25.3 20◦50.0 86◦00.8 8.7 -15◦19.7 -12.8 59.62 208◦25.2 20◦49.5 100◦28.5 8.6 -15◦32.4 -12.7 59.73 223◦25.2 20◦49.0 114◦56.1 8.5 -15◦45.0 -12.6 59.74 238◦25.2 20◦48.6 129◦23.5 8.4 -15◦57.6 -12.5 59.75 253◦25.1 20◦48.1 143◦50.9 8.3 -16◦10.0 -12.4 59.76 268◦25.1 20◦47.7 158◦18.2 8.2 -16◦22.4 -12.3 59.77 283◦25.0 20◦47.2 172◦45.4 8.1 -16◦34.7 -12.2 59.78 298◦25.0 20◦46.8 187◦12.5 8.0 -16◦46.8 -12.1 59.79 313◦25.0 20◦46.3 201◦39.5 8.0 -16◦58.9 -12.0 59.810 328◦24.9 20◦45.8 216◦06.4 7.9 -17◦10.9 -11.9 59.811 343◦24.9 20◦45.4 230◦33.2 7.8 -17◦22.8 -11.8 59.812 358◦24.9 20◦44.9 244◦59.9 7.7 -17◦34.6 -11.7 59.813 13◦24.8 20◦44.5 259◦26.5 7.6 -17◦46.3 -11.6 59.814 28◦24.8 20◦44.0 273◦53.1 7.5 -17◦57.9 -11.5 59.815 43◦24.7 20◦43.5 288◦19.5 7.4 -18◦09.4 -11.4 59.816 58◦24.7 20◦43.1 302◦45.8 7.3 -18◦20.8 -11.3 59.917 73◦24.7 20◦42.6 317◦12.0 7.2 -18◦32.0 -11.2 59.918 88◦24.6 20◦42.1 331◦38.2 7.1 -18◦43.2 -11.1 59.919 103◦24.6 20◦41.7 346◦04.2 7.0 -18◦54.2 -11.0 59.920 118◦24.6 20◦41.2 0◦30.1 6.9 -19◦05.2 -10.9 59.921 133◦24.5 20◦40.7 14◦56.0 6.8 -19◦16.0 -10.8 59.922 148◦24.5 20◦40.3 29◦21.7 6.7 -19◦26.7 -10.6 59.923 163◦24.4 20◦39.8 43◦47.4 6.6 -19◦37.3 -10.5 59.9

SD.=15.7 d=-0.5 S.D.=16.3

Tue GHA Dec GHA ν Dec d HP0 178◦24.4 20◦39.3 58◦12.9 6.5 -19◦47.7 -10.4 60.01 193◦24.4 20◦38.9 72◦38.4 6.4 -19◦58.1 -10.3 60.02 208◦24.3 20◦38.4 87◦03.7 6.3 -20◦08.3 -10.2 60.03 223◦24.3 20◦37.9 101◦29.0 6.2 -20◦18.4 -10.0 60.04 238◦24.3 20◦37.5 115◦54.2 6.1 -20◦28.3 -9.9 60.05 253◦24.2 20◦37.0 130◦19.2 6.0 -20◦38.2 -9.8 60.06 268◦24.2 20◦36.5 144◦44.2 5.9 -20◦47.9 -9.6 60.07 283◦24.2 20◦36.0 159◦09.1 5.8 -20◦57.4 -9.5 60.08 298◦24.1 20◦35.6 173◦33.9 5.7 -21◦06.9 -9.4 60.09 313◦24.1 20◦35.1 187◦58.6 5.6 -21◦16.2 -9.2 60.010 328◦24.1 20◦34.6 202◦23.2 5.6 -21◦25.3 -9.1 60.011 343◦24.0 20◦34.1 216◦47.7 5.5 -21◦34.4 -9.0 60.112 358◦24.0 20◦33.7 231◦12.1 5.4 -21◦43.2 -8.8 60.113 13◦24.0 20◦33.2 245◦36.4 5.3 -21◦52.0 -8.7 60.114 28◦23.9 20◦32.7 260◦00.7 5.2 -22◦00.6 -8.5 60.115 43◦23.9 20◦32.2 274◦24.8 5.1 -22◦09.0 -8.4 60.116 58◦23.9 20◦31.8 288◦48.9 5.0 -22◦17.3 -8.2 60.117 73◦23.8 20◦31.3 303◦12.9 4.9 -22◦25.5 -8.1 60.118 88◦23.8 20◦30.8 317◦36.8 4.9 -22◦33.5 -7.9 60.119 103◦23.8 20◦30.3 332◦00.6 4.8 -22◦41.3 -7.8 60.120 118◦23.7 20◦29.8 346◦24.3 4.7 -22◦49.0 -7.6 60.121 133◦23.7 20◦29.4 0◦48.0 4.6 -22◦56.6 -7.5 60.122 148◦23.7 20◦28.9 15◦11.5 4.5 -23◦04.0 -7.3 60.123 163◦23.7 20◦28.4 29◦35.0 4.4 -23◦11.2 -7.1 60.1

SD.=15.7 d=-0.5 S.D.=16.4

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 –:– –:– –:– –:– –:– –:–70 –:– –:– –:– –:– –:– –:–68 –:– –:– 00:49 23:15 –:– –:–66 –:– –:– 01:54 22:15 –:– –:–64 –:– –:– 02:28 21:42 –:– –:–62 –:– 01:16 02:53 21:18 22:52 –:–60 –:– 01:59 03:12 20:59 22:11 –:–58 –:– 02:26 03:28 20:44 21:45 –:–56 01:10 02:47 03:41 20:30 21:24 22:5854 01:49 03:04 03:53 20:19 21:07 22:2252 02:14 03:19 04:03 20:09 20:53 21:5750 02:34 03:31 04:12 19:60 20:41 21:3745 03:10 03:56 04:32 19:41 20:16 21:0140 03:36 04:16 04:47 19:25 19:57 20:3635 03:56 04:31 05:00 19:12 19:41 20:1630 04:13 04:45 05:11 19:01 19:28 19:6020 04:38 05:07 05:31 18:42 19:06 19:3410 04:58 05:25 05:47 18:25 18:48 19:140 05:15 05:41 06:03 18:10 18:32 18:58-10 05:30 05:56 06:18 17:55 18:17 18:43-20 05:44 06:11 06:34 17:39 18:02 18:29-30 05:58 06:27 06:53 17:20 17:46 18:15-35 06:05 06:36 07:04 17:09 17:37 18:08-40 06:13 06:46 07:16 16:57 17:27 18:00-45 06:21 06:58 07:30 16:43 17:16 17:52-50 06:31 07:11 07:48 16:25 17:02 17:42-52 06:35 07:17 07:56 16:17 16:56 17:38-54 06:40 07:24 08:05 16:08 16:49 17:34-56 06:44 07:31 08:16 15:57 16:42 17:29-58 06:50 07:40 08:28 15:46 16:33 17:24-60 06:55 07:49 08:41 15:32 16:24 17:18

Moonrise MoonsetLat. Sun Mon Tue Sun Mon Tue72 16:09 –:– –:– 21:32 –:– –:–70 15:40 18:39 –:– 22:03 20:58 –:–68 15:20 17:43 –:– 22:25 21:55 –:–66 15:03 17:10 19:41 22:43 22:30 22:0164 14:50 16:46 18:50 22:58 22:55 22:5362 14:39 16:27 18:19 23:10 23:15 23:2560 14:29 16:12 17:55 23:21 23:31 23:4958 14:21 15:59 17:36 23:30 23:45 –:–56 14:14 15:47 17:21 23:38 23:57 –:–54 14:08 15:38 17:07 23:45 –:– 00:0752 14:02 15:29 16:56 23:52 –:– 00:1750 13:57 15:21 16:45 23:58 –:– 00:2545 13:46 15:05 16:24 –:– 00:10 00:4340 13:37 14:51 16:06 –:– 00:21 00:5735 13:29 14:40 15:52 –:– 00:30 01:1030 13:22 14:30 15:39 00:01 00:38 01:2120 13:10 14:13 15:18 00:09 00:52 01:4010 13:00 13:58 14:59 00:17 01:04 01:560 12:51 13:45 14:42 00:24 01:16 02:12-10 12:41 13:31 14:25 00:31 01:27 02:27-20 12:32 13:17 14:07 00:39 01:40 02:44-30 12:20 13:00 13:46 00:48 01:54 03:03-35 12:14 12:51 13:34 00:53 02:02 03:14-40 12:07 12:40 13:20 00:59 02:12 03:27-45 11:58 12:28 13:04 01:06 02:23 03:42-50 11:48 12:13 12:44 01:14 02:36 04:01-52 11:44 12:06 12:35 01:17 02:43 04:10-54 11:38 11:58 12:24 01:22 02:50 04:20-56 11:33 11:49 12:12 01:26 02:58 04:31-58 11:27 11:39 11:58 01:31 03:07 04:44-60 11:20 11:28 11:42 01:37 03:17 04:60

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower18 06:14 06:17 12:06 19:03 06:37 8(62%)19 06:19 06:21 12:06 19:57 07:30 9(73%)20 06:22 06:24 12:06 20:56 08:26 10(83%)

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July 21, 22 ,23 (Wed., Thu., Fri.)Aries Venus Mars Jupiter Saturn

Wed GHA GHA Dec GHA Dec GHA Dec GHA Dec0 298◦58.8 147◦30.5 13◦22.5 151◦49.9 14◦27.1 325◦46.7 -12◦13.9 345◦13.3 -18◦10.61 314◦01.3 162◦30.1 13◦21.4 166◦50.8 14◦26.5 340◦49.4 -12◦14.0 0◦15.9 -18◦10.62 329◦03.7 177◦29.7 13◦20.3 181◦51.8 14◦26.0 355◦52.1 -12◦14.1 15◦18.6 -18◦10.73 344◦06.2 192◦29.2 13◦19.3 196◦52.7 14◦25.5 10◦54.8 -12◦14.2 30◦21.2 -18◦10.74 359◦08.7 207◦28.8 13◦18.2 211◦53.7 14◦24.9 25◦57.5 -12◦14.3 45◦23.8 -18◦10.85 14◦11.1 222◦28.4 13◦17.1 226◦54.6 14◦24.4 41◦00.1 -12◦14.4 60◦26.5 -18◦10.86 29◦13.6 237◦28.0 13◦16.0 241◦55.6 14◦23.9 56◦02.8 -12◦14.5 75◦29.1 -18◦10.97 44◦16.1 252◦27.6 13◦14.9 256◦56.5 14◦23.3 71◦05.5 -12◦14.5 90◦31.8 -18◦10.98 59◦18.5 267◦27.2 13◦13.8 271◦57.5 14◦22.8 86◦08.2 -12◦14.6 105◦34.4 -18◦11.09 74◦21.0 282◦26.8 13◦12.7 286◦58.4 14◦22.3 101◦10.9 -12◦14.7 120◦37.1 -18◦11.010 89◦23.4 297◦26.4 13◦11.6 301◦59.4 14◦21.7 116◦13.5 -12◦14.8 135◦39.7 -18◦11.111 104◦25.9 312◦26.0 13◦10.5 317◦00.3 14◦21.2 131◦16.2 -12◦14.9 150◦42.4 -18◦11.212 119◦28.4 327◦25.6 13◦09.4 332◦01.3 14◦20.7 146◦18.9 -12◦15.0 165◦45.0 -18◦11.213 134◦30.8 342◦25.2 13◦08.3 347◦02.2 14◦20.1 161◦21.6 -12◦15.1 180◦47.6 -18◦11.314 149◦33.3 357◦24.7 13◦07.2 2◦03.2 14◦19.6 176◦24.3 -12◦15.2 195◦50.3 -18◦11.315 164◦35.8 12◦24.3 13◦06.2 17◦04.1 14◦19.0 191◦26.9 -12◦15.3 210◦52.9 -18◦11.416 179◦38.2 27◦23.9 13◦05.1 32◦05.1 14◦18.5 206◦29.6 -12◦15.4 225◦55.6 -18◦11.417 194◦40.7 42◦23.5 13◦04.0 47◦06.0 14◦18.0 221◦32.3 -12◦15.5 240◦58.2 -18◦11.518 209◦43.2 57◦23.1 13◦02.9 62◦07.0 14◦17.4 236◦35.0 -12◦15.5 256◦00.9 -18◦11.519 224◦45.6 72◦22.7 13◦01.8 77◦07.9 14◦16.9 251◦37.7 -12◦15.6 271◦03.5 -18◦11.620 239◦48.1 87◦22.3 13◦00.7 92◦08.9 14◦16.4 266◦40.3 -12◦15.7 286◦06.2 -18◦11.621 254◦50.6 102◦21.9 12◦59.6 107◦09.8 14◦15.8 281◦43.0 -12◦15.8 301◦08.8 -18◦11.722 269◦53.0 117◦21.5 12◦58.5 122◦10.8 14◦15.3 296◦45.7 -12◦15.9 316◦11.4 -18◦11.723 284◦55.5 132◦21.1 12◦57.4 137◦11.7 14◦14.8 311◦48.4 -12◦16.0 331◦14.1 -18◦11.8Mer.pass.:4:03: v-0.4 d-1.1 m-3.9 v0.9 d-0.5 m1.8 v2.7 d-0.1 m-2.6 v2.6 d-0.1 m0.2

Thu GHA GHA Dec GHA Dec GHA Dec GHA Dec0 299◦57.9 147◦20.7 12◦56.3 152◦12.7 14◦14.2 326◦51.1 -12◦16.1 346◦16.7 -18◦11.81 315◦00.4 162◦20.3 12◦55.2 167◦13.6 14◦13.7 341◦53.8 -12◦16.2 1◦19.4 -18◦11.92 330◦02.9 177◦19.9 12◦54.1 182◦14.6 14◦13.1 356◦56.4 -12◦16.3 16◦22.0 -18◦12.03 345◦05.3 192◦19.5 12◦53.0 197◦15.5 14◦12.6 11◦59.1 -12◦16.4 31◦24.7 -18◦12.04 0◦07.8 207◦19.1 12◦51.9 212◦16.5 14◦12.1 27◦01.8 -12◦16.5 46◦27.3 -18◦12.15 15◦10.3 222◦18.7 12◦50.8 227◦17.4 14◦11.5 42◦04.5 -12◦16.6 61◦30.0 -18◦12.16 30◦12.7 237◦18.3 12◦49.7 242◦18.4 14◦11.0 57◦07.2 -12◦16.6 76◦32.6 -18◦12.27 45◦15.2 252◦17.9 12◦48.5 257◦19.3 14◦10.4 72◦09.9 -12◦16.7 91◦35.3 -18◦12.28 60◦17.7 267◦17.5 12◦47.4 272◦20.3 14◦09.9 87◦12.6 -12◦16.8 106◦37.9 -18◦12.39 75◦20.1 282◦17.1 12◦46.3 287◦21.2 14◦09.4 102◦15.2 -12◦16.9 121◦40.5 -18◦12.310 90◦22.6 297◦16.7 12◦45.2 302◦22.2 14◦08.8 117◦17.9 -12◦17.0 136◦43.2 -18◦12.411 105◦25.1 312◦16.3 12◦44.1 317◦23.1 14◦08.3 132◦20.6 -12◦17.1 151◦45.8 -18◦12.412 120◦27.5 327◦15.9 12◦43.0 332◦24.1 14◦07.8 147◦23.3 -12◦17.2 166◦48.5 -18◦12.513 135◦30.0 342◦15.5 12◦41.9 347◦25.0 14◦07.2 162◦26.0 -12◦17.3 181◦51.1 -18◦12.514 150◦32.4 357◦15.1 12◦40.8 2◦26.0 14◦06.7 177◦28.7 -12◦17.4 196◦53.8 -18◦12.615 165◦34.9 12◦14.7 12◦39.7 17◦27.0 14◦06.1 192◦31.4 -12◦17.5 211◦56.4 -18◦12.616 180◦37.4 27◦14.4 12◦38.6 32◦27.9 14◦05.6 207◦34.0 -12◦17.6 226◦59.1 -18◦12.717 195◦39.8 42◦14.0 12◦37.5 47◦28.9 14◦05.1 222◦36.7 -12◦17.7 242◦01.7 -18◦12.818 210◦42.3 57◦13.6 12◦36.4 62◦29.8 14◦04.5 237◦39.4 -12◦17.8 257◦04.4 -18◦12.819 225◦44.8 72◦13.2 12◦35.3 77◦30.8 14◦04.0 252◦42.1 -12◦17.9 272◦07.0 -18◦12.920 240◦47.2 87◦12.8 12◦34.1 92◦31.7 14◦03.4 267◦44.8 -12◦17.9 287◦09.6 -18◦12.921 255◦49.7 102◦12.4 12◦33.0 107◦32.7 14◦02.9 282◦47.5 -12◦18.0 302◦12.3 -18◦13.022 270◦52.2 117◦12.0 12◦31.9 122◦33.6 14◦02.3 297◦50.2 -12◦18.1 317◦14.9 -18◦13.023 285◦54.6 132◦11.6 12◦30.8 137◦34.6 14◦01.8 312◦52.9 -12◦18.2 332◦17.6 -18◦13.1Mer.pass.:3:59: v-0.4 d-1.1 m-3.9 v1.0 d-0.5 m1.8 v2.7 d-0.1 m-2.6 v2.6 d-0.1 m0.2

Fri GHA GHA Dec GHA Dec GHA Dec GHA Dec0 300◦57.1 147◦11.2 12◦29.7 152◦35.5 14◦01.3 327◦55.6 -12◦18.3 347◦20.2 -18◦13.11 315◦59.6 162◦10.8 12◦28.6 167◦36.5 14◦00.7 342◦58.2 -12◦18.4 2◦22.9 -18◦13.22 331◦02.0 177◦10.4 12◦27.5 182◦37.4 14◦00.2 358◦00.9 -12◦18.5 17◦25.5 -18◦13.23 346◦04.5 192◦10.1 12◦26.3 197◦38.4 13◦59.6 13◦03.6 -12◦18.6 32◦28.2 -18◦13.34 1◦06.9 207◦09.7 12◦25.2 212◦39.3 13◦59.1 28◦06.3 -12◦18.7 47◦30.8 -18◦13.35 16◦09.4 222◦09.3 12◦24.1 227◦40.3 13◦58.6 43◦09.0 -12◦18.8 62◦33.5 -18◦13.46 31◦11.9 237◦08.9 12◦23.0 242◦41.2 13◦58.0 58◦11.7 -12◦18.9 77◦36.1 -18◦13.57 46◦14.3 252◦08.5 12◦21.9 257◦42.2 13◦57.5 73◦14.4 -12◦19.0 92◦38.7 -18◦13.58 61◦16.8 267◦08.1 12◦20.8 272◦43.1 13◦56.9 88◦17.1 -12◦19.1 107◦41.4 -18◦13.69 76◦19.3 282◦07.7 12◦19.6 287◦44.1 13◦56.4 103◦19.8 -12◦19.2 122◦44.0 -18◦13.610 91◦21.7 297◦07.4 12◦18.5 302◦45.1 13◦55.8 118◦22.5 -12◦19.3 137◦46.7 -18◦13.711 106◦24.2 312◦07.0 12◦17.4 317◦46.0 13◦55.3 133◦25.2 -12◦19.4 152◦49.3 -18◦13.712 121◦26.7 327◦06.6 12◦16.3 332◦47.0 13◦54.8 148◦27.8 -12◦19.5 167◦52.0 -18◦13.813 136◦29.1 342◦06.2 12◦15.2 347◦47.9 13◦54.2 163◦30.5 -12◦19.5 182◦54.6 -18◦13.814 151◦31.6 357◦05.8 12◦14.0 2◦48.9 13◦53.7 178◦33.2 -12◦19.6 197◦57.3 -18◦13.915 166◦34.1 12◦05.4 12◦12.9 17◦49.8 13◦53.1 193◦35.9 -12◦19.7 212◦59.9 -18◦13.916 181◦36.5 27◦05.1 12◦11.8 32◦50.8 13◦52.6 208◦38.6 -12◦19.8 228◦02.6 -18◦14.017 196◦39.0 42◦04.7 12◦10.7 47◦51.7 13◦52.0 223◦41.3 -12◦19.9 243◦05.2 -18◦14.018 211◦41.4 57◦04.3 12◦09.6 62◦52.7 13◦51.5 238◦44.0 -12◦20.0 258◦07.9 -18◦14.119 226◦43.9 72◦03.9 12◦08.4 77◦53.6 13◦50.9 253◦46.7 -12◦20.1 273◦10.5 -18◦14.220 241◦46.4 87◦03.5 12◦07.3 92◦54.6 13◦50.4 268◦49.4 -12◦20.2 288◦13.2 -18◦14.221 256◦48.8 102◦03.2 12◦06.2 107◦55.5 13◦49.9 283◦52.1 -12◦20.3 303◦15.8 -18◦14.322 271◦51.3 117◦02.8 12◦05.1 122◦56.5 13◦49.3 298◦54.8 -12◦20.4 318◦18.4 -18◦14.323 286◦53.8 132◦02.4 12◦03.9 137◦57.5 13◦48.8 313◦57.5 -12◦20.5 333◦21.1 -18◦14.4Mer.pass.:3:55: v-0.4 d-1.1 m-3.9 v1.0 d-0.5 m1.8 v2.7 d-0.1 m-2.6 v2.6 d-0.1 m0.2

StarsSHA Dec

Alpheratz 357◦37.5 29◦12.4Ankaa 353◦09.8 -42◦11.2

Schedar 349◦34.0 56◦39.0Diphda 348◦49.9 -17◦52.0

Achernar 335◦22.4 -57◦07.4Hamal 327◦54.4 23◦33.7Polaris 315◦28.4 89◦20.9Akamar 315◦14.1 -40◦12.9Menkar 314◦09.2 4◦10.4Mirfak 308◦32.5 49◦56.0

Aldebaran 290◦43.1 16◦33.1Rigel 281◦06.8 -8◦10.6

Capella 280◦26.4 46◦01.1Bellatrix 278◦26.2 6◦22.1Elnath 278◦05.7 28◦37.4Alnilam 275◦40.9 -1◦11.3

Betelgeuse 270◦55.4 7◦24.7Canopus 263◦54.2 -52◦42.3

Sirius 258◦29.0 -16◦44.5Adara 255◦08.4 -28◦60.0

Procyon 244◦54.0 5◦10.4Pollux 243◦21.0 27◦58.5Avior 234◦16.5 -59◦34.7Suhail 222◦48.8 -43◦31.1

Miaplacidus 221◦39.7 -69◦48.3Alphard 217◦50.8 -8◦45.0Regulus 207◦37.7 11◦51.9Dubhe 193◦45.0 61◦38.4

Denebola 182◦27.9 14◦27.3Gienah 175◦46.6 -17◦39.6Acrux 173◦03.4 -63◦13.3

Gacrux 171◦54.9 -57◦14.2Alioth 166◦15.7 55◦51.0Spica 158◦25.3 -11◦16.3Alcaid 152◦54.3 49◦12.7Hadar 148◦39.9 -60◦28.8

Menkent 148◦00.9 -36◦28.6Arcturus 145◦50.3 19◦04.8

Rigil Kent. 139◦44.0 -60◦55.6Zubenelg. 136◦59.0 -16◦07.8Kochab 137◦19.6 74◦04.4

Alphecca 126◦06.0 26◦38.8Antares 112◦19.0 -26◦28.7

Atria 107◦15.4 -69◦04.1Sabik 102◦05.7 -15◦45.0

Shaula 96◦13.9 -37◦07.1Rasalhague 96◦00.9 12◦32.8

Etamin 90◦43.0 51◦29.3Kaus Aust. 83◦35.9 -34◦22.4

Vega 80◦34.7 38◦48.3Nunki 75◦50.9 -26◦16.1Altair 62◦02.4 8◦55.5

Peacock 53◦09.6 -56◦39.9Deneb 49◦27.2 45◦21.4

Enif 33◦41.3 9◦58.4Alnair 27◦36.1 -46◦51.2

Fomalhaut 15◦17.5 -29◦30.4Scheat 13◦47.7 28◦11.8Markab 13◦32.5 15◦19.2

2021/7/2 SHA Mer.passVenus 208◦31.7 14:10Mars 212◦51.1 13:52

Jupiter 26◦47.9 02:16Saturn 46◦14.5 00:59

2021/7/2 SHA Mer.passVenus 207◦22.8 14:11Mars 212◦14.7 13:50

Jupiter 26◦53.1 02:12Saturn 46◦18.8 00:55

2021/7/2 SHA Mer.passVenus 206◦14.1 14:12Mars 211◦38.4 13:49

Jupiter 26◦58.5 02:08Saturn 46◦23.1 00:51

Horizontal paralaxVenus: 0.1Mars: 0.1

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2021 July 21 to Jul. 23

h Sun MoonWed GHA Dec GHA ν Dec d HP0 178◦23.6 20◦27.9 43◦58.4 4.4 -23◦18.3 -7.0 60.11 193◦23.6 20◦27.4 58◦21.8 4.3 -23◦25.2 -6.8 60.12 208◦23.6 20◦27.0 72◦45.0 4.2 -23◦31.9 -6.7 60.13 223◦23.5 20◦26.5 87◦08.2 4.2 -23◦38.5 -6.5 60.14 238◦23.5 20◦26.0 101◦31.3 4.1 -23◦44.9 -6.3 60.15 253◦23.5 20◦25.5 115◦54.4 4.0 -23◦51.2 -6.2 60.16 268◦23.5 20◦25.0 130◦17.4 3.9 -23◦57.3 -6.0 60.17 283◦23.4 20◦24.5 144◦40.3 3.9 -24◦03.2 -5.8 60.18 298◦23.4 20◦24.0 159◦03.1 3.8 -24◦08.9 -5.7 60.29 313◦23.4 20◦23.6 173◦25.9 3.8 -24◦14.5 -5.5 60.210 328◦23.3 20◦23.1 187◦48.6 3.7 -24◦19.9 -5.3 60.211 343◦23.3 20◦22.6 202◦11.3 3.6 -24◦25.2 -5.1 60.212 358◦23.3 20◦22.1 216◦33.9 3.6 -24◦30.2 -5.0 60.213 13◦23.3 20◦21.6 230◦56.5 3.5 -24◦35.1 -4.8 60.214 28◦23.2 20◦21.1 245◦19.0 3.5 -24◦39.8 -4.6 60.115 43◦23.2 20◦20.6 259◦41.4 3.4 -24◦44.4 -4.4 60.116 58◦23.2 20◦20.1 274◦03.8 3.4 -24◦48.7 -4.3 60.117 73◦23.2 20◦19.6 288◦26.2 3.3 -24◦52.9 -4.1 60.118 88◦23.1 20◦19.1 302◦48.5 3.3 -24◦56.9 -3.9 60.119 103◦23.1 20◦18.6 317◦10.8 3.3 -25◦00.7 -3.7 60.120 118◦23.1 20◦18.1 331◦33.0 3.2 -25◦04.4 -3.5 60.121 133◦23.1 20◦17.6 345◦55.2 3.2 -25◦07.8 -3.4 60.122 148◦23.0 20◦17.2 0◦17.4 3.1 -25◦11.1 -3.2 60.123 163◦23.0 20◦16.7 14◦39.5 3.1 -25◦14.2 -3.0 60.1

SD.=15.7 d=-0.5 S.D.=16.4

Thu GHA Dec GHA ν Dec d HP0 178◦23.0 20◦16.2 29◦01.6 3.1 -25◦17.1 -2.8 60.11 193◦23.0 20◦15.7 43◦23.7 3.1 -25◦19.8 -2.6 60.12 208◦22.9 20◦15.2 57◦45.8 3.0 -25◦22.4 -2.5 60.13 223◦22.9 20◦14.7 72◦07.8 3.0 -25◦24.7 -2.3 60.14 238◦22.9 20◦14.2 86◦29.8 3.0 -25◦26.9 -2.1 60.15 253◦22.9 20◦13.7 100◦51.8 3.0 -25◦28.9 -1.9 60.16 268◦22.9 20◦13.2 115◦13.8 3.0 -25◦30.7 -1.7 60.17 283◦22.8 20◦12.7 129◦35.7 3.0 -25◦32.3 -1.5 60.18 298◦22.8 20◦12.2 143◦57.7 3.0 -25◦33.7 -1.3 60.19 313◦22.8 20◦11.7 158◦19.7 3.0 -25◦35.0 -1.2 60.110 328◦22.8 20◦11.2 172◦41.6 3.0 -25◦36.0 -1.0 60.011 343◦22.8 20◦10.7 187◦03.6 3.0 -25◦36.9 -0.8 60.012 358◦22.7 20◦10.2 201◦25.5 3.0 -25◦37.6 -0.6 60.013 13◦22.7 20◦09.6 215◦47.5 3.0 -25◦38.1 -0.4 60.014 28◦22.7 20◦09.1 230◦09.4 3.0 -25◦38.4 -0.2 60.015 43◦22.7 20◦08.6 244◦31.4 3.0 -25◦38.5 -0.0 60.016 58◦22.7 20◦08.1 258◦53.4 3.0 -25◦38.5 0.2 60.017 73◦22.6 20◦07.6 273◦15.4 3.0 -25◦38.2 0.3 60.018 88◦22.6 20◦07.1 287◦37.4 3.0 -25◦37.8 0.5 60.019 103◦22.6 20◦06.6 301◦59.5 3.0 -25◦37.2 0.7 60.020 118◦22.6 20◦06.1 316◦21.5 3.1 -25◦36.4 0.9 59.921 133◦22.6 20◦05.6 330◦43.6 3.1 -25◦35.4 1.1 59.922 148◦22.5 20◦05.1 345◦05.7 3.1 -25◦34.2 1.3 59.923 163◦22.5 20◦04.6 359◦27.9 3.2 -25◦32.8 1.5 59.9

SD.=15.7 d=-0.5 S.D.=16.4

Fri GHA Dec GHA ν Dec d HP0 178◦22.5 20◦04.1 13◦50.0 3.2 -25◦31.3 1.6 59.91 193◦22.5 20◦03.6 28◦12.3 3.2 -25◦29.6 1.8 59.92 208◦22.5 20◦03.0 42◦34.5 3.3 -25◦27.7 2.0 59.93 223◦22.5 20◦02.5 56◦56.8 3.3 -25◦25.6 2.2 59.84 238◦22.4 20◦02.0 71◦19.1 3.4 -25◦23.3 2.4 59.85 253◦22.4 20◦01.5 85◦41.5 3.4 -25◦20.8 2.5 59.86 268◦22.4 20◦01.0 100◦04.0 3.5 -25◦18.2 2.7 59.87 283◦22.4 20◦00.5 114◦26.4 3.5 -25◦15.4 2.9 59.88 298◦22.4 19◦60.0 128◦49.0 3.6 -25◦12.4 3.1 59.89 313◦22.4 19◦59.4 143◦11.6 3.6 -25◦09.3 3.3 59.710 328◦22.3 19◦58.9 157◦34.2 3.7 -25◦05.9 3.4 59.711 343◦22.3 19◦58.4 171◦56.9 3.7 -25◦02.4 3.6 59.712 358◦22.3 19◦57.9 186◦19.7 3.8 -24◦58.7 3.8 59.713 13◦22.3 19◦57.4 200◦42.5 3.9 -24◦54.8 3.9 59.714 28◦22.3 19◦56.9 215◦05.4 3.9 -24◦50.8 4.1 59.715 43◦22.3 19◦56.3 229◦28.4 4.0 -24◦46.6 4.3 59.616 58◦22.3 19◦55.8 243◦51.4 4.1 -24◦42.2 4.5 59.617 73◦22.2 19◦55.3 258◦14.5 4.2 -24◦37.7 4.6 59.618 88◦22.2 19◦54.8 272◦37.7 4.2 -24◦33.0 4.8 59.619 103◦22.2 19◦54.2 287◦01.0 4.3 -24◦28.1 5.0 59.620 118◦22.2 19◦53.7 301◦24.3 4.4 -24◦23.0 5.1 59.521 133◦22.2 19◦53.2 315◦47.8 4.5 -24◦17.8 5.3 59.522 148◦22.2 19◦52.7 330◦11.3 4.5 -24◦12.5 5.5 59.523 163◦22.2 19◦52.2 344◦34.9 4.6 -24◦06.9 5.6 59.5

SD.=15.7 d=-0.5 S.D.=16.3

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 –:– –:– –:– –:– –:– –:–70 –:– –:– –:– –:– –:– –:–68 –:– –:– 01:16 22:51 –:– –:–66 –:– –:– 02:06 22:03 –:– –:–64 –:– –:– 02:37 21:33 –:– –:–62 –:– 01:32 03:00 21:11 22:37 –:–60 –:– 02:08 03:18 20:53 22:02 –:–58 –:– 02:34 03:33 20:38 21:37 –:–56 01:24 02:54 03:46 20:25 21:18 22:4554 01:58 03:10 03:57 20:14 21:02 22:1352 02:21 03:23 04:07 20:05 20:48 21:5050 02:40 03:35 04:16 19:56 20:37 21:3245 03:14 03:59 04:35 19:38 20:13 20:5840 03:39 04:18 04:50 19:23 19:54 20:3335 03:59 04:34 05:02 19:10 19:39 20:1430 04:15 04:47 05:13 18:59 19:26 19:5820 04:40 05:08 05:32 18:41 19:05 19:3310 04:59 05:25 05:48 18:25 18:47 19:140 05:15 05:41 06:03 18:10 18:32 18:58-10 05:30 05:55 06:18 17:55 18:18 18:43-20 05:43 06:10 06:34 17:40 18:03 18:30-30 05:57 06:26 06:51 17:22 17:47 18:17-35 06:04 06:34 07:02 17:11 17:39 18:10-40 06:11 06:44 07:14 16:60 17:29 18:02-45 06:19 06:55 07:28 16:46 17:18 17:54-50 06:28 07:08 07:44 16:29 17:05 17:45-52 06:32 07:14 07:52 16:21 16:59 17:41-54 06:36 07:20 08:01 16:12 16:53 17:37-56 06:41 07:28 08:11 16:02 16:46 17:33-58 06:46 07:36 08:23 15:51 16:38 17:28-60 06:51 07:44 08:36 15:38 16:29 17:22

Moonrise MoonsetLat. Wed Thu Fri Wed Thu Fri72 –:– –:– –:– –:– –:– –:–70 –:– –:– –:– –:– –:– –:–68 –:– –:– –:– –:– –:– –:–66 –:– –:– –:– –:– –:– –:–64 20:59 22:24 22:32 22:54 23:42 –:–62 20:04 21:18 21:53 23:50 –:– 00:4860 19:31 20:43 21:25 –:– 00:22 01:2358 19:07 20:18 21:04 00:08 00:47 01:4956 18:47 19:57 20:46 00:24 01:07 02:0954 18:31 19:40 20:31 00:38 01:23 02:2652 18:17 19:26 20:18 00:50 01:37 02:4050 18:05 19:13 20:07 01:01 01:50 02:5345 17:40 18:47 19:43 01:24 02:15 03:1840 17:20 18:27 19:23 01:42 02:36 03:3935 17:03 18:09 19:07 01:57 02:53 03:5630 16:49 17:54 18:53 02:10 03:07 04:1120 16:24 17:29 18:30 02:33 03:32 04:3610 16:03 17:07 18:09 02:53 03:54 04:570 15:44 16:47 17:50 03:11 04:14 05:17-10 15:24 16:27 17:30 03:30 04:34 05:37-20 15:04 16:05 17:10 03:50 04:56 05:59-30 14:40 15:40 16:46 04:13 05:20 06:23-35 14:26 15:25 16:32 04:26 05:35 06:38-40 14:09 15:08 16:15 04:42 05:52 06:54-45 13:50 14:48 15:56 05:00 06:13 07:14-50 13:26 14:22 15:31 05:24 06:38 07:39-52 13:15 14:10 15:20 05:35 06:51 07:51-54 13:02 13:55 15:06 05:47 07:05 08:05-56 12:47 13:39 14:51 06:02 07:21 08:21-58 12:29 13:19 14:32 06:19 07:41 08:40-60 12:08 12:54 14:09 06:40 08:06 09:03

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower21 06:25 06:27 12:06 21:58 09:27 11(91%)22 06:28 06:29 12:06 23:02 10:30 12(96%)23 06:30 06:31 12:06 00:04 11:33 13(99%)

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July 24, 25 ,26 (Sat., Sun., Mon.)Aries Venus Mars Jupiter Saturn

Sat GHA GHA Dec GHA Dec GHA Dec GHA Dec0 301◦56.2 147◦02.0 12◦02.8 152◦58.4 13◦48.2 329◦00.2 -12◦20.6 348◦23.7 -18◦14.41 316◦58.7 162◦01.6 12◦01.7 167◦59.4 13◦47.7 344◦02.9 -12◦20.7 3◦26.4 -18◦14.52 332◦01.2 177◦01.3 12◦00.5 183◦00.3 13◦47.1 359◦05.6 -12◦20.8 18◦29.0 -18◦14.53 347◦03.6 192◦00.9 11◦59.4 198◦01.3 13◦46.6 14◦08.3 -12◦20.9 33◦31.7 -18◦14.64 2◦06.1 207◦00.5 11◦58.3 213◦02.2 13◦46.0 29◦10.9 -12◦21.0 48◦34.3 -18◦14.65 17◦08.5 222◦00.1 11◦57.2 228◦03.2 13◦45.5 44◦13.6 -12◦21.1 63◦37.0 -18◦14.76 32◦11.0 236◦59.8 11◦56.0 243◦04.1 13◦45.0 59◦16.3 -12◦21.2 78◦39.6 -18◦14.77 47◦13.5 251◦59.4 11◦54.9 258◦05.1 13◦44.4 74◦19.0 -12◦21.3 93◦42.3 -18◦14.88 62◦15.9 266◦59.0 11◦53.8 273◦06.1 13◦43.9 89◦21.7 -12◦21.4 108◦44.9 -18◦14.99 77◦18.4 281◦58.6 11◦52.6 288◦07.0 13◦43.3 104◦24.4 -12◦21.5 123◦47.6 -18◦14.910 92◦20.9 296◦58.3 11◦51.5 303◦08.0 13◦42.8 119◦27.1 -12◦21.6 138◦50.2 -18◦15.011 107◦23.3 311◦57.9 11◦50.4 318◦08.9 13◦42.2 134◦29.8 -12◦21.6 153◦52.9 -18◦15.012 122◦25.8 326◦57.5 11◦49.2 333◦09.9 13◦41.7 149◦32.5 -12◦21.7 168◦55.5 -18◦15.113 137◦28.3 341◦57.2 11◦48.1 348◦10.8 13◦41.1 164◦35.2 -12◦21.8 183◦58.2 -18◦15.114 152◦30.7 356◦56.8 11◦47.0 3◦11.8 13◦40.6 179◦37.9 -12◦21.9 199◦00.8 -18◦15.215 167◦33.2 11◦56.4 11◦45.8 18◦12.7 13◦40.0 194◦40.6 -12◦22.0 214◦03.5 -18◦15.216 182◦35.7 26◦56.1 11◦44.7 33◦13.7 13◦39.5 209◦43.3 -12◦22.1 229◦06.1 -18◦15.317 197◦38.1 41◦55.7 11◦43.6 48◦14.7 13◦38.9 224◦46.0 -12◦22.2 244◦08.7 -18◦15.318 212◦40.6 56◦55.3 11◦42.4 63◦15.6 13◦38.4 239◦48.7 -12◦22.3 259◦11.4 -18◦15.419 227◦43.0 71◦54.9 11◦41.3 78◦16.6 13◦37.8 254◦51.4 -12◦22.4 274◦14.0 -18◦15.420 242◦45.5 86◦54.6 11◦40.2 93◦17.5 13◦37.3 269◦54.1 -12◦22.5 289◦16.7 -18◦15.521 257◦48.0 101◦54.2 11◦39.0 108◦18.5 13◦36.7 284◦56.8 -12◦22.6 304◦19.3 -18◦15.622 272◦50.4 116◦53.8 11◦37.9 123◦19.4 13◦36.2 299◦59.5 -12◦22.7 319◦22.0 -18◦15.623 287◦52.9 131◦53.5 11◦36.8 138◦20.4 13◦35.6 315◦02.2 -12◦22.8 334◦24.6 -18◦15.7Mer.pass.:3:51: v-0.4 d-1.1 m-3.9 v1.0 d-0.5 m1.8 v2.7 d-0.1 m-2.6 v2.6 d-0.1 m0.2

Sun GHA GHA Dec GHA Dec GHA Dec GHA Dec0 302◦55.4 146◦53.1 11◦35.6 153◦21.4 13◦35.1 330◦04.9 -12◦22.9 349◦27.3 -18◦15.71 317◦57.8 161◦52.7 11◦34.5 168◦22.3 13◦34.5 345◦07.6 -12◦23.0 4◦29.9 -18◦15.82 333◦00.3 176◦52.4 11◦33.3 183◦23.3 13◦34.0 0◦10.3 -12◦23.1 19◦32.6 -18◦15.83 348◦02.8 191◦52.0 11◦32.2 198◦24.2 13◦33.5 15◦13.0 -12◦23.2 34◦35.2 -18◦15.94 3◦05.2 206◦51.6 11◦31.1 213◦25.2 13◦32.9 30◦15.7 -12◦23.3 49◦37.9 -18◦15.95 18◦07.7 221◦51.3 11◦29.9 228◦26.1 13◦32.4 45◦18.4 -12◦23.4 64◦40.5 -18◦16.06 33◦10.2 236◦50.9 11◦28.8 243◦27.1 13◦31.8 60◦21.1 -12◦23.5 79◦43.2 -18◦16.07 48◦12.6 251◦50.6 11◦27.6 258◦28.1 13◦31.3 75◦23.8 -12◦23.6 94◦45.8 -18◦16.18 63◦15.1 266◦50.2 11◦26.5 273◦29.0 13◦30.7 90◦26.5 -12◦23.7 109◦48.5 -18◦16.19 78◦17.5 281◦49.8 11◦25.3 288◦30.0 13◦30.2 105◦29.2 -12◦23.8 124◦51.1 -18◦16.210 93◦20.0 296◦49.5 11◦24.2 303◦30.9 13◦29.6 120◦31.9 -12◦23.9 139◦53.8 -18◦16.311 108◦22.5 311◦49.1 11◦23.1 318◦31.9 13◦29.1 135◦34.6 -12◦24.0 154◦56.4 -18◦16.312 123◦24.9 326◦48.8 11◦21.9 333◦32.8 13◦28.5 150◦37.3 -12◦24.1 169◦59.1 -18◦16.413 138◦27.4 341◦48.4 11◦20.8 348◦33.8 13◦28.0 165◦40.0 -12◦24.2 185◦01.7 -18◦16.414 153◦29.9 356◦48.0 11◦19.6 3◦34.8 13◦27.4 180◦42.7 -12◦24.3 200◦04.4 -18◦16.515 168◦32.3 11◦47.7 11◦18.5 18◦35.7 13◦26.8 195◦45.4 -12◦24.4 215◦07.0 -18◦16.516 183◦34.8 26◦47.3 11◦17.3 33◦36.7 13◦26.3 210◦48.1 -12◦24.5 230◦09.6 -18◦16.617 198◦37.3 41◦47.0 11◦16.2 48◦37.6 13◦25.7 225◦50.9 -12◦24.6 245◦12.3 -18◦16.618 213◦39.7 56◦46.6 11◦15.0 63◦38.6 13◦25.2 240◦53.6 -12◦24.7 260◦14.9 -18◦16.719 228◦42.2 71◦46.2 11◦13.9 78◦39.5 13◦24.6 255◦56.3 -12◦24.8 275◦17.6 -18◦16.720 243◦44.7 86◦45.9 11◦12.7 93◦40.5 13◦24.1 270◦59.0 -12◦24.9 290◦20.2 -18◦16.821 258◦47.1 101◦45.5 11◦11.6 108◦41.5 13◦23.5 286◦01.7 -12◦25.0 305◦22.9 -18◦16.822 273◦49.6 116◦45.2 11◦10.4 123◦42.4 13◦23.0 301◦04.4 -12◦25.1 320◦25.5 -18◦16.923 288◦52.0 131◦44.8 11◦09.3 138◦43.4 13◦22.4 316◦07.1 -12◦25.2 335◦28.2 -18◦17.0Mer.pass.:3:47: v-0.4 d-1.1 m-3.9 v1.0 d-0.5 m1.8 v2.7 d-0.1 m-2.6 v2.6 d-0.1 m0.2

Mon GHA GHA Dec GHA Dec GHA Dec GHA Dec0 303◦54.5 146◦44.5 11◦08.1 153◦44.3 13◦21.9 331◦09.8 -12◦25.3 350◦30.8 -18◦17.01 318◦57.0 161◦44.1 11◦07.0 168◦45.3 13◦21.3 346◦12.5 -12◦25.4 5◦33.5 -18◦17.12 333◦59.4 176◦43.8 11◦05.8 183◦46.3 13◦20.8 1◦15.2 -12◦25.5 20◦36.1 -18◦17.13 349◦01.9 191◦43.4 11◦04.7 198◦47.2 13◦20.2 16◦17.9 -12◦25.6 35◦38.8 -18◦17.24 4◦04.4 206◦43.0 11◦03.5 213◦48.2 13◦19.7 31◦20.6 -12◦25.7 50◦41.4 -18◦17.25 19◦06.8 221◦42.7 11◦02.4 228◦49.1 13◦19.1 46◦23.3 -12◦25.8 65◦44.1 -18◦17.36 34◦09.3 236◦42.3 11◦01.2 243◦50.1 13◦18.6 61◦26.0 -12◦25.9 80◦46.7 -18◦17.37 49◦11.8 251◦42.0 11◦00.1 258◦51.1 13◦18.0 76◦28.7 -12◦26.0 95◦49.4 -18◦17.48 64◦14.2 266◦41.6 10◦58.9 273◦52.0 13◦17.5 91◦31.4 -12◦26.1 110◦52.0 -18◦17.49 79◦16.7 281◦41.3 10◦57.8 288◦53.0 13◦16.9 106◦34.2 -12◦26.2 125◦54.7 -18◦17.510 94◦19.1 296◦40.9 10◦56.6 303◦53.9 13◦16.4 121◦36.9 -12◦26.3 140◦57.3 -18◦17.511 109◦21.6 311◦40.6 10◦55.5 318◦54.9 13◦15.8 136◦39.6 -12◦26.4 155◦60.0 -18◦17.612 124◦24.1 326◦40.2 10◦54.3 333◦55.8 13◦15.2 151◦42.3 -12◦26.5 171◦02.6 -18◦17.713 139◦26.5 341◦39.9 10◦53.1 348◦56.8 13◦14.7 166◦45.0 -12◦26.6 186◦05.3 -18◦17.714 154◦29.0 356◦39.5 10◦52.0 3◦57.8 13◦14.1 181◦47.7 -12◦26.7 201◦07.9 -18◦17.815 169◦31.5 11◦39.2 10◦50.8 18◦58.7 13◦13.6 196◦50.4 -12◦26.8 216◦10.6 -18◦17.816 184◦33.9 26◦38.8 10◦49.7 33◦59.7 13◦13.0 211◦53.1 -12◦26.9 231◦13.2 -18◦17.917 199◦36.4 41◦38.5 10◦48.5 49◦00.6 13◦12.5 226◦55.8 -12◦27.0 246◦15.9 -18◦17.918 214◦38.9 56◦38.2 10◦47.4 64◦01.6 13◦11.9 241◦58.5 -12◦27.1 261◦18.5 -18◦18.019 229◦41.3 71◦37.8 10◦46.2 79◦02.6 13◦11.4 257◦01.2 -12◦27.2 276◦21.2 -18◦18.020 244◦43.8 86◦37.5 10◦45.0 94◦03.5 13◦10.8 272◦04.0 -12◦27.3 291◦23.8 -18◦18.121 259◦46.3 101◦37.1 10◦43.9 109◦04.5 13◦10.3 287◦06.7 -12◦27.4 306◦26.5 -18◦18.122 274◦48.7 116◦36.8 10◦42.7 124◦05.4 13◦09.7 302◦09.4 -12◦27.5 321◦29.1 -18◦18.223 289◦51.2 131◦36.4 10◦41.6 139◦06.4 13◦09.1 317◦12.1 -12◦27.6 336◦31.8 -18◦18.3Mer.pass.:3:43: v-0.4 d-1.2 m-3.9 v1.0 d-0.6 m1.8 v2.7 d-0.1 m-2.6 v2.6 d-0.1 m0.2

StarsSHA Dec

Alpheratz 357◦37.5 29◦12.4Ankaa 353◦09.8 -42◦11.2

Schedar 349◦34.0 56◦39.0Diphda 348◦49.9 -17◦52.0

Achernar 335◦22.3 -57◦07.4Hamal 327◦54.4 23◦33.7Polaris 315◦26.8 89◦20.9Akamar 315◦14.0 -40◦12.9Menkar 314◦09.2 4◦10.4Mirfak 308◦32.4 49◦56.0

Aldebaran 290◦43.1 16◦33.1Rigel 281◦06.8 -8◦10.6

Capella 280◦26.4 46◦01.1Bellatrix 278◦26.1 6◦22.1Elnath 278◦05.7 28◦37.4Alnilam 275◦40.9 -1◦11.3

Betelgeuse 270◦55.4 7◦24.7Canopus 263◦54.1 -52◦42.3

Sirius 258◦28.9 -16◦44.5Adara 255◦08.4 -28◦60.0

Procyon 244◦54.0 5◦10.4Pollux 243◦21.0 27◦58.5Avior 234◦16.5 -59◦34.6Suhail 222◦48.8 -43◦31.1

Miaplacidus 221◦39.7 -69◦48.3Alphard 217◦50.8 -8◦45.0Regulus 207◦37.7 11◦51.9Dubhe 193◦45.0 61◦38.4

Denebola 182◦27.9 14◦27.3Gienah 175◦46.6 -17◦39.6Acrux 173◦03.4 -63◦13.3

Gacrux 171◦54.9 -57◦14.2Alioth 166◦15.7 55◦51.0Spica 158◦25.3 -11◦16.3Alcaid 152◦54.3 49◦12.7Hadar 148◦39.9 -60◦28.8

Menkent 148◦00.9 -36◦28.6Arcturus 145◦50.3 19◦04.8

Rigil Kent. 139◦44.0 -60◦55.6Zubenelg. 136◦59.1 -16◦07.8Kochab 137◦19.6 74◦04.4

Alphecca 126◦06.0 26◦38.8Antares 112◦19.0 -26◦28.7

Atria 107◦15.4 -69◦04.1Sabik 102◦05.7 -15◦45.0

Shaula 96◦13.8 -37◦07.1Rasalhague 96◦00.9 12◦32.9

Etamin 90◦43.0 51◦29.4Kaus Aust. 83◦35.9 -34◦22.4

Vega 80◦34.7 38◦48.3Nunki 75◦50.9 -26◦16.1Altair 62◦02.4 8◦55.5

Peacock 53◦09.6 -56◦39.9Deneb 49◦27.2 45◦21.4

Enif 33◦41.3 9◦58.4Alnair 27◦36.1 -46◦51.2

Fomalhaut 15◦17.4 -29◦30.4Scheat 13◦47.7 28◦11.8Markab 13◦32.5 15◦19.2

2021/7/2 SHA Mer.passVenus 205◦05.8 14:12Mars 211◦02.2 13:47

Jupiter 27◦03.9 02:04Saturn 46◦27.5 00:46

2021/7/2 SHA Mer.passVenus 203◦57.7 14:13Mars 210◦26.0 13:46

Jupiter 27◦09.5 01:59Saturn 46◦31.9 00:42

2021/7/2 SHA Mer.passVenus 202◦50.0 14:13Mars 209◦49.8 13:44

Jupiter 27◦15.3 01:55Saturn 46◦36.3 00:38

Horizontal paralaxVenus: 0.1Mars: 0.1

138

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2021 July 24 to Jul. 26

h Sun MoonSat GHA Dec GHA ν Dec d HP0 178◦22.2 19◦51.6 358◦58.5 4.7 -24◦01.2 5.8 59.41 193◦22.2 19◦51.1 13◦22.3 4.8 -23◦55.4 5.9 59.42 208◦22.1 19◦50.6 27◦46.2 4.9 -23◦49.4 6.1 59.43 223◦22.1 19◦50.1 42◦10.1 5.0 -23◦43.2 6.2 59.44 238◦22.1 19◦49.5 56◦34.1 5.1 -23◦36.9 6.4 59.45 253◦22.1 19◦49.0 70◦58.2 5.2 -23◦30.4 6.5 59.36 268◦22.1 19◦48.5 85◦22.5 5.3 -23◦23.8 6.7 59.37 283◦22.1 19◦47.9 99◦46.8 5.4 -23◦17.0 6.8 59.38 298◦22.1 19◦47.4 114◦11.2 5.5 -23◦10.1 7.0 59.39 313◦22.1 19◦46.9 128◦35.7 5.6 -23◦03.1 7.1 59.210 328◦22.1 19◦46.4 143◦00.3 5.7 -22◦55.8 7.3 59.211 343◦22.1 19◦45.8 157◦25.0 5.8 -22◦48.5 7.4 59.212 358◦22.0 19◦45.3 171◦49.8 5.9 -22◦41.0 7.6 59.213 13◦22.0 19◦44.8 186◦14.8 6.0 -22◦33.4 7.7 59.114 28◦22.0 19◦44.2 200◦39.8 6.1 -22◦25.6 7.8 59.115 43◦22.0 19◦43.7 215◦04.9 6.2 -22◦17.7 8.0 59.116 58◦22.0 19◦43.2 229◦30.1 6.3 -22◦09.6 8.1 59.117 73◦22.0 19◦42.6 243◦55.5 6.4 -22◦01.5 8.2 59.018 88◦22.0 19◦42.1 258◦20.9 6.5 -21◦53.2 8.4 59.019 103◦22.0 19◦41.6 272◦46.5 6.6 -21◦44.7 8.5 59.020 118◦22.0 19◦41.0 287◦12.1 6.7 -21◦36.2 8.6 58.921 133◦22.0 19◦40.5 301◦37.9 6.8 -21◦27.5 8.8 58.922 148◦22.0 19◦39.9 316◦03.8 6.9 -21◦18.6 8.9 58.923 163◦22.0 19◦39.4 330◦29.7 7.0 -21◦09.7 9.0 58.9

SD.=15.7 d=-0.5 S.D.=16.2

Sun GHA Dec GHA ν Dec d HP0 178◦22.0 19◦38.9 344◦55.8 7.2 -21◦00.6 9.1 58.81 193◦22.0 19◦38.3 359◦22.1 7.3 -20◦51.5 9.2 58.82 208◦22.0 19◦37.8 13◦48.4 7.4 -20◦42.2 9.4 58.83 223◦22.0 19◦37.3 28◦14.8 7.5 -20◦32.7 9.5 58.74 238◦21.9 19◦36.7 42◦41.3 7.6 -20◦23.2 9.6 58.75 253◦21.9 19◦36.2 57◦08.0 7.7 -20◦13.6 9.7 58.76 268◦21.9 19◦35.6 71◦34.8 7.8 -20◦03.8 9.8 58.77 283◦21.9 19◦35.1 86◦01.6 7.9 -19◦54.0 9.9 58.68 298◦21.9 19◦34.5 100◦28.6 8.0 -19◦44.0 10.0 58.69 313◦21.9 19◦34.0 114◦55.7 8.2 -19◦33.9 10.1 58.610 328◦21.9 19◦33.5 129◦22.9 8.3 -19◦23.7 10.2 58.511 343◦21.9 19◦32.9 143◦50.3 8.4 -19◦13.5 10.3 58.512 358◦21.9 19◦32.4 158◦17.7 8.5 -19◦03.1 10.4 58.513 13◦21.9 19◦31.8 172◦45.3 8.6 -18◦52.6 10.5 58.414 28◦21.9 19◦31.3 187◦12.9 8.7 -18◦42.0 10.6 58.415 43◦21.9 19◦30.7 201◦40.7 8.8 -18◦31.3 10.7 58.416 58◦21.9 19◦30.2 216◦08.6 8.9 -18◦20.6 10.8 58.317 73◦21.9 19◦29.6 230◦36.6 9.1 -18◦09.7 10.9 58.318 88◦21.9 19◦29.1 245◦04.7 9.2 -17◦58.8 11.0 58.319 103◦21.9 19◦28.5 259◦32.9 9.3 -17◦47.7 11.1 58.220 118◦21.9 19◦28.0 274◦01.2 9.4 -17◦36.6 11.2 58.221 133◦21.9 19◦27.4 288◦29.7 9.5 -17◦25.4 11.2 58.222 148◦21.9 19◦26.9 302◦58.2 9.6 -17◦14.1 11.3 58.123 163◦21.9 19◦26.3 317◦26.9 9.7 -17◦02.8 11.4 58.1

SD.=15.7 d=-0.5 S.D.=16.0

Mon GHA Dec GHA ν Dec d HP0 178◦21.9 19◦25.8 331◦55.7 9.8 -16◦51.3 11.5 58.11 193◦21.9 19◦25.2 346◦24.5 9.9 -16◦39.8 11.6 58.12 208◦21.9 19◦24.7 0◦53.5 10.0 -16◦28.2 11.6 58.03 223◦21.9 19◦24.1 15◦22.6 10.1 -16◦16.5 11.7 58.04 238◦21.9 19◦23.6 29◦51.8 10.2 -16◦04.8 11.8 58.05 253◦21.9 19◦23.0 44◦21.1 10.4 -15◦52.9 11.9 57.96 268◦21.9 19◦22.5 58◦50.5 10.5 -15◦41.0 11.9 57.97 283◦21.9 19◦21.9 73◦20.0 10.6 -15◦29.1 12.0 57.98 298◦21.9 19◦21.3 87◦49.6 10.7 -15◦17.0 12.1 57.89 313◦21.9 19◦20.8 102◦19.3 10.8 -15◦05.0 12.1 57.810 328◦21.9 19◦20.2 116◦49.2 10.9 -14◦52.8 12.2 57.811 343◦21.9 19◦19.7 131◦19.1 11.0 -14◦40.6 12.3 57.712 358◦22.0 19◦19.1 145◦49.1 11.1 -14◦28.3 12.3 57.713 13◦22.0 19◦18.6 160◦19.2 11.2 -14◦16.0 12.4 57.714 28◦22.0 19◦18.0 174◦49.4 11.3 -14◦03.6 12.4 57.615 43◦22.0 19◦17.4 189◦19.8 11.4 -13◦51.1 12.5 57.616 58◦22.0 19◦16.9 203◦50.2 11.5 -13◦38.6 12.5 57.617 73◦22.0 19◦16.3 218◦20.7 11.6 -13◦26.0 12.6 57.518 88◦22.0 19◦15.8 232◦51.3 11.7 -13◦13.4 12.6 57.519 103◦22.0 19◦15.2 247◦22.0 11.7 -13◦00.8 12.7 57.520 118◦22.0 19◦14.6 261◦52.8 11.8 -12◦48.1 12.7 57.421 133◦22.0 19◦14.1 276◦23.7 11.9 -12◦35.3 12.8 57.422 148◦22.0 19◦13.5 290◦54.7 12.0 -12◦22.5 12.8 57.323 163◦22.0 19◦12.9 305◦25.7 12.1 -12◦09.6 12.9 57.3

SD.=15.7 d=-0.6 S.D.=15.8

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 –:– –:– –:– –:– –:– –:–70 –:– –:– –:– –:– –:– –:–68 –:– –:– 01:37 22:31 –:– –:–66 –:– –:– 02:19 21:51 –:– –:–64 –:– 00:47 02:47 21:24 23:16 –:–62 –:– 01:46 03:08 21:03 22:23 –:–60 –:– 02:18 03:25 20:46 21:52 –:–58 00:43 02:42 03:39 20:32 21:30 23:2156 01:37 03:00 03:52 20:20 21:11 22:3354 02:06 03:15 04:02 20:10 20:56 22:0452 02:28 03:28 04:12 20:01 20:43 21:4350 02:46 03:40 04:20 19:52 20:32 21:2645 03:19 04:03 04:38 19:35 20:09 20:5340 03:43 04:21 04:52 19:20 19:51 20:3035 04:02 04:36 05:04 19:08 19:37 20:1130 04:17 04:49 05:15 18:58 19:24 19:5620 04:41 05:09 05:33 18:40 19:04 19:3210 04:60 05:26 05:49 18:24 18:47 19:130 05:16 05:41 06:03 18:10 18:32 18:57-10 05:29 05:55 06:17 17:56 18:18 18:44-20 05:42 06:09 06:33 17:41 18:04 18:31-30 05:55 06:24 06:50 17:24 17:49 18:18-35 06:02 06:33 06:60 17:14 17:41 18:11-40 06:09 06:42 07:11 17:02 17:32 18:04-45 06:17 06:52 07:25 16:49 17:21 17:57-50 06:25 07:05 07:41 16:33 17:09 17:48-52 06:29 07:10 07:48 16:25 17:03 17:45-54 06:33 07:17 07:57 16:17 16:57 17:41-56 06:37 07:23 08:06 16:07 16:50 17:37-58 06:42 07:31 08:17 15:56 16:43 17:32-60 06:47 07:39 08:30 15:44 16:34 17:27

Moonrise MoonsetLat. Sat Sun Mon Sat Sun Mon72 –:– –:– 00:30 –:– –:– 03:4470 –:– –:– 23:05 –:– –:– 04:3268 –:– 23:10 22:49 –:– 02:26 05:0266 –:– 22:46 22:36 –:– 03:16 05:2464 22:31 22:28 22:25 01:45 03:48 05:4162 22:07 22:12 22:15 02:23 04:11 05:5560 21:47 21:59 22:07 02:50 04:29 06:0758 21:31 21:48 21:60 03:12 04:45 06:1856 21:18 21:39 21:53 03:29 04:58 06:2754 21:06 21:30 21:47 03:43 05:09 06:3552 20:55 21:22 21:42 03:56 05:19 06:4250 20:46 21:15 21:38 04:07 05:28 06:4845 20:26 21:00 21:27 04:30 05:46 07:0240 20:10 20:48 21:19 04:49 06:02 07:1335 19:56 20:37 21:11 05:05 06:14 07:2230 19:44 20:28 21:05 05:18 06:25 07:3020 19:24 20:11 20:53 05:41 06:44 07:4510 19:06 19:57 20:43 06:00 07:01 07:570 18:49 19:44 20:34 06:19 07:16 08:08-10 18:32 19:31 20:25 06:37 07:31 08:20-20 18:14 19:16 20:15 06:56 07:47 08:32-30 17:53 18:60 20:03 07:18 08:05 08:46-35 17:41 18:50 19:56 07:31 08:16 08:53-40 17:27 18:39 19:49 07:46 08:28 09:02-45 17:10 18:26 19:40 08:04 08:42 09:13-50 16:50 18:10 19:29 08:25 08:59 09:25-52 16:40 18:03 19:24 08:36 09:08 09:31-54 16:28 17:54 19:18 08:47 09:17 09:37-56 16:16 17:45 19:12 09:01 09:27 09:44-58 16:01 17:34 19:05 09:16 09:38 09:52-60 15:43 17:22 18:57 09:34 09:51 10:01

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower24 06:31 06:32 12:06 00:04 12:34 14(100%)25 06:32 06:32 12:06 01:02 13:30 15(97%)26 06:32 06:32 12:06 01:56 14:21 16(93%)

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July 27, 28 ,29 (Tue., Wed., Thu.)Aries Venus Mars Jupiter Saturn

Tue GHA GHA Dec GHA Dec GHA Dec GHA Dec0 304◦53.6 146◦36.1 10◦40.4 154◦07.4 13◦08.6 332◦14.8 -12◦27.7 351◦34.4 -18◦18.31 319◦56.1 161◦35.7 10◦39.2 169◦08.3 13◦08.0 347◦17.5 -12◦27.8 6◦37.1 -18◦18.42 334◦58.6 176◦35.4 10◦38.1 184◦09.3 13◦07.5 2◦20.2 -12◦27.9 21◦39.7 -18◦18.43 350◦01.0 191◦35.1 10◦36.9 199◦10.3 13◦06.9 17◦22.9 -12◦28.0 36◦42.4 -18◦18.54 5◦03.5 206◦34.7 10◦35.7 214◦11.2 13◦06.4 32◦25.6 -12◦28.1 51◦45.0 -18◦18.55 20◦06.0 221◦34.4 10◦34.6 229◦12.2 13◦05.8 47◦28.4 -12◦28.2 66◦47.7 -18◦18.66 35◦08.4 236◦34.0 10◦33.4 244◦13.1 13◦05.2 62◦31.1 -12◦28.3 81◦50.3 -18◦18.67 50◦10.9 251◦33.7 10◦32.2 259◦14.1 13◦04.7 77◦33.8 -12◦28.4 96◦53.0 -18◦18.78 65◦13.4 266◦33.3 10◦31.1 274◦15.1 13◦04.1 92◦36.5 -12◦28.5 111◦55.6 -18◦18.79 80◦15.8 281◦33.0 10◦29.9 289◦16.0 13◦03.6 107◦39.2 -12◦28.6 126◦58.3 -18◦18.810 95◦18.3 296◦32.7 10◦28.8 304◦17.0 13◦03.0 122◦41.9 -12◦28.7 142◦00.9 -18◦18.811 110◦20.8 311◦32.3 10◦27.6 319◦17.9 13◦02.5 137◦44.6 -12◦28.8 157◦03.6 -18◦18.912 125◦23.2 326◦32.0 10◦26.4 334◦18.9 13◦01.9 152◦47.3 -12◦28.9 172◦06.2 -18◦19.013 140◦25.7 341◦31.7 10◦25.2 349◦19.9 13◦01.3 167◦50.1 -12◦29.0 187◦08.9 -18◦19.014 155◦28.1 356◦31.3 10◦24.1 4◦20.8 13◦00.8 182◦52.8 -12◦29.1 202◦11.5 -18◦19.115 170◦30.6 11◦31.0 10◦22.9 19◦21.8 13◦00.2 197◦55.5 -12◦29.2 217◦14.2 -18◦19.116 185◦33.1 26◦30.6 10◦21.7 34◦22.8 12◦59.7 212◦58.2 -12◦29.3 232◦16.8 -18◦19.217 200◦35.5 41◦30.3 10◦20.6 49◦23.7 12◦59.1 228◦00.9 -12◦29.4 247◦19.5 -18◦19.218 215◦38.0 56◦30.0 10◦19.4 64◦24.7 12◦58.6 243◦03.6 -12◦29.5 262◦22.1 -18◦19.319 230◦40.5 71◦29.6 10◦18.2 79◦25.6 12◦58.0 258◦06.3 -12◦29.6 277◦24.8 -18◦19.320 245◦42.9 86◦29.3 10◦17.1 94◦26.6 12◦57.4 273◦09.1 -12◦29.7 292◦27.4 -18◦19.421 260◦45.4 101◦29.0 10◦15.9 109◦27.6 12◦56.9 288◦11.8 -12◦29.8 307◦30.1 -18◦19.422 275◦47.9 116◦28.6 10◦14.7 124◦28.5 12◦56.3 303◦14.5 -12◦29.9 322◦32.7 -18◦19.523 290◦50.3 131◦28.3 10◦13.5 139◦29.5 12◦55.8 318◦17.2 -12◦30.0 337◦35.4 -18◦19.5Mer.pass.:3:39: v-0.3 d-1.2 m-3.9 v1.0 d-0.6 m1.8 v2.7 d-0.1 m-2.7 v2.6 d-0.1 m0.2

Wed GHA GHA Dec GHA Dec GHA Dec GHA Dec0 305◦52.8 146◦28.0 10◦12.4 154◦30.4 12◦55.2 333◦19.9 -12◦30.1 352◦38.0 -18◦19.61 320◦55.2 161◦27.6 10◦11.2 169◦31.4 12◦54.6 348◦22.6 -12◦30.2 7◦40.7 -18◦19.72 335◦57.7 176◦27.3 10◦10.0 184◦32.4 12◦54.1 3◦25.4 -12◦30.3 22◦43.3 -18◦19.73 351◦00.2 191◦27.0 10◦08.9 199◦33.3 12◦53.5 18◦28.1 -12◦30.4 37◦46.0 -18◦19.84 6◦02.6 206◦26.6 10◦07.7 214◦34.3 12◦53.0 33◦30.8 -12◦30.5 52◦48.6 -18◦19.85 21◦05.1 221◦26.3 10◦06.5 229◦35.3 12◦52.4 48◦33.5 -12◦30.6 67◦51.3 -18◦19.96 36◦07.6 236◦26.0 10◦05.3 244◦36.2 12◦51.8 63◦36.2 -12◦30.7 82◦53.9 -18◦19.97 51◦10.0 251◦25.6 10◦04.2 259◦37.2 12◦51.3 78◦38.9 -12◦30.8 97◦56.6 -18◦20.08 66◦12.5 266◦25.3 10◦03.0 274◦38.2 12◦50.7 93◦41.7 -12◦30.9 112◦59.2 -18◦20.09 81◦15.0 281◦25.0 10◦01.8 289◦39.1 12◦50.2 108◦44.4 -12◦31.0 128◦01.9 -18◦20.110 96◦17.4 296◦24.6 10◦00.6 304◦40.1 12◦49.6 123◦47.1 -12◦31.1 143◦04.5 -18◦20.111 111◦19.9 311◦24.3 9◦59.5 319◦41.0 12◦49.0 138◦49.8 -12◦31.2 158◦07.2 -18◦20.212 126◦22.4 326◦24.0 9◦58.3 334◦42.0 12◦48.5 153◦52.5 -12◦31.3 173◦09.8 -18◦20.313 141◦24.8 341◦23.7 9◦57.1 349◦43.0 12◦47.9 168◦55.2 -12◦31.4 188◦12.5 -18◦20.314 156◦27.3 356◦23.3 9◦55.9 4◦43.9 12◦47.4 183◦58.0 -12◦31.5 203◦15.1 -18◦20.415 171◦29.7 11◦23.0 9◦54.7 19◦44.9 12◦46.8 199◦00.7 -12◦31.6 218◦17.8 -18◦20.416 186◦32.2 26◦22.7 9◦53.6 34◦45.9 12◦46.2 214◦03.4 -12◦31.7 233◦20.4 -18◦20.517 201◦34.7 41◦22.4 9◦52.4 49◦46.8 12◦45.7 229◦06.1 -12◦31.8 248◦23.1 -18◦20.518 216◦37.1 56◦22.0 9◦51.2 64◦47.8 12◦45.1 244◦08.8 -12◦31.9 263◦25.7 -18◦20.619 231◦39.6 71◦21.7 9◦50.0 79◦48.8 12◦44.5 259◦11.6 -12◦32.1 278◦28.4 -18◦20.620 246◦42.1 86◦21.4 9◦48.8 94◦49.7 12◦44.0 274◦14.3 -12◦32.2 293◦31.0 -18◦20.721 261◦44.5 101◦21.1 9◦47.7 109◦50.7 12◦43.4 289◦17.0 -12◦32.3 308◦33.7 -18◦20.722 276◦47.0 116◦20.7 9◦46.5 124◦51.6 12◦42.9 304◦19.7 -12◦32.4 323◦36.3 -18◦20.823 291◦49.5 131◦20.4 9◦45.3 139◦52.6 12◦42.3 319◦22.4 -12◦32.5 338◦39.0 -18◦20.8Mer.pass.:3:35: v-0.3 d-1.2 m-3.9 v1.0 d-0.6 m1.8 v2.7 d-0.1 m-2.7 v2.7 d-0.1 m0.2

Thu GHA GHA Dec GHA Dec GHA Dec GHA Dec0 306◦51.9 146◦20.1 9◦44.1 154◦53.6 12◦41.7 334◦25.2 -12◦32.6 353◦41.6 -18◦20.91 321◦54.4 161◦19.8 9◦42.9 169◦54.5 12◦41.2 349◦27.9 -12◦32.7 8◦44.3 -18◦21.02 336◦56.8 176◦19.4 9◦41.7 184◦55.5 12◦40.6 4◦30.6 -12◦32.8 23◦46.9 -18◦21.03 351◦59.3 191◦19.1 9◦40.6 199◦56.5 12◦40.0 19◦33.3 -12◦32.9 38◦49.6 -18◦21.14 7◦01.8 206◦18.8 9◦39.4 214◦57.4 12◦39.5 34◦36.1 -12◦33.0 53◦52.2 -18◦21.15 22◦04.2 221◦18.5 9◦38.2 229◦58.4 12◦38.9 49◦38.8 -12◦33.1 68◦54.9 -18◦21.26 37◦06.7 236◦18.2 9◦37.0 244◦59.4 12◦38.4 64◦41.5 -12◦33.2 83◦57.5 -18◦21.27 52◦09.2 251◦17.8 9◦35.8 260◦00.3 12◦37.8 79◦44.2 -12◦33.3 99◦00.2 -18◦21.38 67◦11.6 266◦17.5 9◦34.6 275◦01.3 12◦37.2 94◦46.9 -12◦33.4 114◦02.8 -18◦21.39 82◦14.1 281◦17.2 9◦33.4 290◦02.3 12◦36.7 109◦49.7 -12◦33.5 129◦05.5 -18◦21.410 97◦16.6 296◦16.9 9◦32.3 305◦03.2 12◦36.1 124◦52.4 -12◦33.6 144◦08.1 -18◦21.411 112◦19.0 311◦16.6 9◦31.1 320◦04.2 12◦35.5 139◦55.1 -12◦33.7 159◦10.8 -18◦21.512 127◦21.5 326◦16.2 9◦29.9 335◦05.1 12◦35.0 154◦57.8 -12◦33.8 174◦13.4 -18◦21.513 142◦24.0 341◦15.9 9◦28.7 350◦06.1 12◦34.4 170◦00.6 -12◦33.9 189◦16.1 -18◦21.614 157◦26.4 356◦15.6 9◦27.5 5◦07.1 12◦33.8 185◦03.3 -12◦34.0 204◦18.7 -18◦21.715 172◦28.9 11◦15.3 9◦26.3 20◦08.0 12◦33.3 200◦06.0 -12◦34.1 219◦21.4 -18◦21.716 187◦31.3 26◦15.0 9◦25.1 35◦09.0 12◦32.7 215◦08.7 -12◦34.2 234◦24.0 -18◦21.817 202◦33.8 41◦14.7 9◦23.9 50◦10.0 12◦32.1 230◦11.5 -12◦34.3 249◦26.7 -18◦21.818 217◦36.3 56◦14.3 9◦22.7 65◦10.9 12◦31.6 245◦14.2 -12◦34.5 264◦29.3 -18◦21.919 232◦38.7 71◦14.0 9◦21.6 80◦11.9 12◦31.0 260◦16.9 -12◦34.6 279◦32.0 -18◦21.920 247◦41.2 86◦13.7 9◦20.4 95◦12.9 12◦30.4 275◦19.6 -12◦34.7 294◦34.6 -18◦22.021 262◦43.7 101◦13.4 9◦19.2 110◦13.8 12◦29.9 290◦22.4 -12◦34.8 309◦37.3 -18◦22.022 277◦46.1 116◦13.1 9◦18.0 125◦14.8 12◦29.3 305◦25.1 -12◦34.9 324◦39.9 -18◦22.123 292◦48.6 131◦12.8 9◦16.8 140◦15.8 12◦28.8 320◦27.8 -12◦35.0 339◦42.6 -18◦22.1Mer.pass.:3:31: v-0.3 d-1.2 m-3.9 v1.0 d-0.6 m1.8 v2.7 d-0.1 m-2.7 v2.7 d-0.1 m0.2

StarsSHA Dec

Alpheratz 357◦37.5 29◦12.4Ankaa 353◦09.8 -42◦11.2

Schedar 349◦33.9 56◦39.0Diphda 348◦49.9 -17◦52.0

Achernar 335◦22.3 -57◦07.4Hamal 327◦54.4 23◦33.7Polaris 315◦25.4 89◦20.9Akamar 315◦14.0 -40◦12.9Menkar 314◦09.1 4◦10.4Mirfak 308◦32.4 49◦56.0

Aldebaran 290◦43.1 16◦33.1Rigel 281◦06.8 -8◦10.5

Capella 280◦26.4 46◦01.1Bellatrix 278◦26.1 6◦22.1Elnath 278◦05.7 28◦37.4Alnilam 275◦40.8 -1◦11.3

Betelgeuse 270◦55.4 7◦24.7Canopus 263◦54.1 -52◦42.3

Sirius 258◦28.9 -16◦44.5Adara 255◦08.4 -28◦60.0

Procyon 244◦54.0 5◦10.4Pollux 243◦21.0 27◦58.5Avior 234◦16.5 -59◦34.6Suhail 222◦48.8 -43◦31.1

Miaplacidus 221◦39.7 -69◦48.3Alphard 217◦50.8 -8◦45.0Regulus 207◦37.7 11◦51.9Dubhe 193◦45.0 61◦38.4

Denebola 182◦28.0 14◦27.3Gienah 175◦46.6 -17◦39.6Acrux 173◦03.5 -63◦13.2

Gacrux 171◦55.0 -57◦14.1Alioth 166◦15.8 55◦51.0Spica 158◦25.3 -11◦16.3Alcaid 152◦54.3 49◦12.7Hadar 148◦39.9 -60◦28.8

Menkent 148◦00.9 -36◦28.6Arcturus 145◦50.3 19◦04.8

Rigil Kent. 139◦44.0 -60◦55.6Zubenelg. 136◦59.1 -16◦07.8Kochab 137◦19.7 74◦04.4

Alphecca 126◦06.0 26◦38.8Antares 112◦19.1 -26◦28.7

Atria 107◦15.4 -69◦04.1Sabik 102◦05.8 -15◦45.0

Shaula 96◦13.9 -37◦07.1Rasalhague 96◦00.9 12◦32.9

Etamin 90◦43.0 51◦29.4Kaus Aust. 83◦35.9 -34◦22.4

Vega 80◦34.8 38◦48.3Nunki 75◦50.9 -26◦16.1Altair 62◦02.4 8◦55.5

Peacock 53◦09.6 -56◦39.9Deneb 49◦27.2 45◦21.4

Enif 33◦41.2 9◦58.4Alnair 27◦36.1 -46◦51.3

Fomalhaut 15◦17.4 -29◦30.4Scheat 13◦47.7 28◦11.8Markab 13◦32.4 15◦19.2

2021/7/2 SHA Mer.passVenus 201◦42.4 14:14Mars 209◦13.7 13:43

Jupiter 27◦21.1 01:51Saturn 46◦40.8 00:34

2021/7/2 SHA Mer.passVenus 200◦35.2 14:14Mars 208◦37.7 13:41

Jupiter 27◦27.1 01:46Saturn 46◦45.2 00:29

2021/7/2 SHA Mer.passVenus 199◦28.2 14:15Mars 208◦01.7 13:40

Jupiter 27◦33.2 01:42Saturn 46◦49.7 00:25

Horizontal paralaxVenus: 0.1Mars: 0.1

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2021 July 27 to Jul. 29

h Sun MoonTue GHA Dec GHA ν Dec d HP0 178◦22.0 19◦12.4 319◦56.9 12.2 -11◦56.8 12.9 57.31 193◦22.0 19◦11.8 334◦28.1 12.3 -11◦43.8 13.0 57.22 208◦22.0 19◦11.2 348◦59.5 12.4 -11◦30.8 13.0 57.23 223◦22.0 19◦10.7 3◦30.9 12.5 -11◦17.8 13.0 57.24 238◦22.0 19◦10.1 18◦02.4 12.6 -11◦04.8 13.1 57.15 253◦22.1 19◦09.5 32◦34.0 12.6 -10◦51.7 13.1 57.16 268◦22.1 19◦09.0 47◦05.7 12.7 -10◦38.6 13.1 57.17 283◦22.1 19◦08.4 61◦37.4 12.8 -10◦25.4 13.2 57.08 298◦22.1 19◦07.8 76◦09.3 12.9 -10◦12.2 13.2 57.09 313◦22.1 19◦07.3 90◦41.2 13.0 -9◦59.0 13.2 57.010 328◦22.1 19◦06.7 105◦13.2 13.0 -9◦45.8 13.3 56.911 343◦22.1 19◦06.1 119◦45.3 13.1 -9◦32.5 13.3 56.912 358◦22.1 19◦05.6 134◦17.4 13.2 -9◦19.2 13.3 56.913 13◦22.1 19◦05.0 148◦49.7 13.3 -9◦05.9 13.3 56.814 28◦22.1 19◦04.4 163◦22.0 13.3 -8◦52.5 13.4 56.815 43◦22.2 19◦03.8 177◦54.4 13.4 -8◦39.1 13.4 56.816 58◦22.2 19◦03.3 192◦26.8 13.5 -8◦25.7 13.4 56.717 73◦22.2 19◦02.7 206◦59.4 13.6 -8◦12.3 13.4 56.718 88◦22.2 19◦02.1 221◦32.0 13.6 -7◦58.8 13.5 56.719 103◦22.2 19◦01.5 236◦04.6 13.7 -7◦45.4 13.5 56.620 118◦22.2 19◦01.0 250◦37.4 13.8 -7◦31.9 13.5 56.621 133◦22.2 19◦00.4 265◦10.2 13.8 -7◦18.4 13.5 56.622 148◦22.2 18◦59.8 279◦43.0 13.9 -7◦04.9 13.5 56.623 163◦22.3 18◦59.2 294◦16.0 14.0 -6◦51.4 13.5 56.5

SD.=15.7 d=-0.6 S.D.=15.6

Wed GHA Dec GHA ν Dec d HP0 178◦22.3 18◦58.6 308◦49.0 14.0 -6◦37.8 13.5 56.51 193◦22.3 18◦58.1 323◦22.0 14.1 -6◦24.3 13.6 56.52 208◦22.3 18◦57.5 337◦55.2 14.2 -6◦10.7 13.6 56.43 223◦22.3 18◦56.9 352◦28.4 14.2 -5◦57.1 13.6 56.44 238◦22.3 18◦56.3 7◦01.6 14.3 -5◦43.5 13.6 56.45 253◦22.3 18◦55.7 21◦34.9 14.3 -5◦29.9 13.6 56.36 268◦22.3 18◦55.2 36◦08.3 14.4 -5◦16.3 13.6 56.37 283◦22.4 18◦54.6 50◦41.7 14.4 -5◦02.7 13.6 56.38 298◦22.4 18◦54.0 65◦15.2 14.5 -4◦49.1 13.6 56.29 313◦22.4 18◦53.4 79◦48.7 14.6 -4◦35.5 13.6 56.210 328◦22.4 18◦52.8 94◦22.3 14.6 -4◦21.9 13.6 56.211 343◦22.4 18◦52.3 108◦55.9 14.7 -4◦08.2 13.6 56.112 358◦22.4 18◦51.7 123◦29.6 14.7 -3◦54.6 13.6 56.113 13◦22.5 18◦51.1 138◦03.3 14.8 -3◦41.0 13.6 56.114 28◦22.5 18◦50.5 152◦37.1 14.8 -3◦27.3 13.6 56.115 43◦22.5 18◦49.9 167◦10.9 14.8 -3◦13.7 13.6 56.016 58◦22.5 18◦49.3 181◦44.8 14.9 -3◦00.1 13.6 56.017 73◦22.5 18◦48.7 196◦18.7 14.9 -2◦46.5 13.6 56.018 88◦22.5 18◦48.1 210◦52.6 15.0 -2◦32.8 13.6 55.919 103◦22.6 18◦47.6 225◦26.6 15.0 -2◦19.2 13.6 55.920 118◦22.6 18◦47.0 240◦00.7 15.1 -2◦05.6 13.6 55.921 133◦22.6 18◦46.4 254◦34.7 15.1 -1◦52.0 13.6 55.822 148◦22.6 18◦45.8 269◦08.9 15.1 -1◦38.4 13.6 55.823 163◦22.6 18◦45.2 283◦43.0 15.2 -1◦24.8 13.6 55.8

SD.=15.8 d=-0.6 S.D.=15.4

Thu GHA Dec GHA ν Dec d HP0 178◦22.7 18◦44.6 298◦17.2 15.2 -1◦11.3 13.6 55.81 193◦22.7 18◦44.0 312◦51.4 15.2 -0◦57.7 13.6 55.72 208◦22.7 18◦43.4 327◦25.7 15.3 -0◦44.1 13.6 55.73 223◦22.7 18◦42.8 341◦60.0 15.3 -0◦30.6 13.5 55.74 238◦22.7 18◦42.2 356◦34.3 15.3 -0◦17.0 13.5 55.65 253◦22.8 18◦41.6 11◦08.7 15.4 -0◦03.5 13.5 55.66 268◦22.8 18◦41.1 25◦43.0 15.4 0◦10.0 13.5 55.67 283◦22.8 18◦40.5 40◦17.5 15.4 0◦23.5 13.5 55.68 298◦22.8 18◦39.9 54◦51.9 15.5 0◦37.0 13.5 55.59 313◦22.8 18◦39.3 69◦26.4 15.5 0◦50.4 13.5 55.510 328◦22.9 18◦38.7 84◦00.9 15.5 1◦03.9 13.4 55.511 343◦22.9 18◦38.1 98◦35.4 15.5 1◦17.3 13.4 55.512 358◦22.9 18◦37.5 113◦09.9 15.6 1◦30.7 13.4 55.413 13◦22.9 18◦36.9 127◦44.5 15.6 1◦44.1 13.4 55.414 28◦23.0 18◦36.3 142◦19.1 15.6 1◦57.5 13.4 55.415 43◦23.0 18◦35.7 156◦53.7 15.6 2◦10.8 13.3 55.416 58◦23.0 18◦35.1 171◦28.3 15.6 2◦24.1 13.3 55.317 73◦23.0 18◦34.5 186◦02.9 15.6 2◦37.5 13.3 55.318 88◦23.0 18◦33.9 200◦37.6 15.7 2◦50.7 13.3 55.319 103◦23.1 18◦33.3 215◦12.2 15.7 3◦04.0 13.2 55.320 118◦23.1 18◦32.7 229◦46.9 15.7 3◦17.2 13.2 55.221 133◦23.1 18◦32.1 244◦21.6 15.7 3◦30.4 13.2 55.222 148◦23.1 18◦31.5 258◦56.3 15.7 3◦43.6 13.2 55.223 163◦23.2 18◦30.9 273◦31.0 15.7 3◦56.8 13.1 55.2

SD.=15.8 d=-0.6 S.D.=15.2

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 –:– –:– –:– –:– –:– –:–70 –:– –:– 00:40 23:17 –:– –:–68 –:– –:– 01:55 22:14 –:– –:–66 –:– –:– 02:31 21:39 –:– –:–64 –:– 01:14 02:56 21:15 22:52 –:–62 –:– 01:59 03:16 20:55 22:10 –:–60 –:– 02:28 03:32 20:40 21:43 –:–58 01:08 02:49 03:45 20:26 21:22 22:6056 01:49 03:07 03:57 20:15 21:05 22:2154 02:15 03:21 04:07 20:05 20:50 21:5652 02:35 03:34 04:16 19:56 20:38 21:3650 02:52 03:44 04:24 19:48 20:27 21:2045 03:23 04:07 04:41 19:31 20:05 20:4940 03:46 04:24 04:55 19:18 19:48 20:2635 04:04 04:38 05:07 19:06 19:34 20:0830 04:19 04:51 05:17 18:56 19:22 19:5320 04:42 05:10 05:34 18:39 19:02 19:3010 05:01 05:27 05:49 18:24 18:46 19:120 05:16 05:41 06:03 18:10 18:32 18:57-10 05:29 05:55 06:17 17:56 18:18 18:44-20 05:41 06:08 06:31 17:42 18:05 18:32-30 05:54 06:23 06:48 17:25 17:51 18:20-35 06:00 06:31 06:58 17:16 17:43 18:13-40 06:07 06:39 07:09 17:05 17:34 18:07-45 06:14 06:49 07:21 16:52 17:24 17:60-50 06:22 07:01 07:37 16:37 17:12 17:52-52 06:25 07:07 07:44 16:29 17:07 17:48-54 06:29 07:12 07:52 16:21 17:01 17:45-56 06:33 07:19 08:01 16:12 16:55 17:41-58 06:37 07:26 08:12 16:02 16:48 17:36-60 06:42 07:34 08:23 15:50 16:40 17:32

Moonrise MoonsetLat. Tue Wed Thu Tue Wed Thu72 22:52 22:25 21:59 06:31 08:41 10:3970 22:42 22:22 22:04 06:50 08:48 10:3768 22:34 22:21 22:08 07:04 08:53 10:3666 22:27 22:19 22:12 07:16 08:58 10:3564 22:21 22:18 22:14 07:25 09:02 10:3462 22:16 22:17 22:17 07:33 09:05 10:3360 22:12 22:16 22:19 07:41 09:08 10:3258 22:08 22:15 22:21 07:47 09:11 10:3256 22:04 22:14 22:23 07:52 09:13 10:3154 22:01 22:13 22:25 07:57 09:15 10:3152 21:58 22:13 22:26 08:01 09:17 10:3050 21:56 22:12 22:27 08:05 09:19 10:3045 21:50 22:11 22:30 08:14 09:23 10:2940 21:45 22:10 22:33 08:21 09:26 10:2835 21:41 22:09 22:35 08:27 09:28 10:2730 21:38 22:08 22:37 08:32 09:31 10:2720 21:31 22:06 22:40 08:41 09:35 10:2610 21:26 22:05 22:43 08:49 09:38 10:250 21:20 22:04 22:46 08:57 09:42 10:24-10 21:15 22:03 22:49 09:04 09:45 10:23-20 21:09 22:02 22:52 09:12 09:48 10:22-30 21:03 22:00 22:55 09:20 09:52 10:21-35 20:59 21:59 22:57 09:25 09:54 10:21-40 20:55 21:58 22:60 09:31 09:57 10:20-45 20:50 21:57 23:02 09:38 09:59 10:19-50 20:44 21:56 23:06 09:45 10:03 10:18-52 20:41 21:55 23:07 09:49 10:04 10:18-54 20:38 21:55 23:09 09:53 10:06 10:18-56 20:35 21:54 23:11 09:57 10:08 10:17-58 20:31 21:53 23:13 10:02 10:10 10:16-60 20:27 21:52 23:15 10:07 10:12 10:16

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower27 06:32 06:32 12:06 02:45 15:08 17(86%)28 06:31 06:30 12:06 03:31 15:52 18(78%)29 06:29 06:28 12:06 04:14 16:35 19(70%)

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July 30, 31 ,01 (Fri., Sat., Sun.)Aries Venus Mars Jupiter Saturn

Fri GHA GHA Dec GHA Dec GHA Dec GHA Dec0 307◦51.1 146◦12.5 9◦15.6 155◦16.7 12◦28.2 335◦30.5 -12◦35.1 354◦45.2 -18◦22.21 322◦53.5 161◦12.1 9◦14.4 170◦17.7 12◦27.6 350◦33.3 -12◦35.2 9◦47.9 -18◦22.32 337◦56.0 176◦11.8 9◦13.2 185◦18.7 12◦27.1 5◦36.0 -12◦35.3 24◦50.5 -18◦22.33 352◦58.5 191◦11.5 9◦12.0 200◦19.6 12◦26.5 20◦38.7 -12◦35.4 39◦53.2 -18◦22.44 8◦00.9 206◦11.2 9◦10.8 215◦20.6 12◦25.9 35◦41.4 -12◦35.5 54◦55.8 -18◦22.45 23◦03.4 221◦10.9 9◦09.6 230◦21.6 12◦25.4 50◦44.2 -12◦35.6 69◦58.5 -18◦22.56 38◦05.8 236◦10.6 9◦08.4 245◦22.5 12◦24.8 65◦46.9 -12◦35.7 85◦01.1 -18◦22.57 53◦08.3 251◦10.3 9◦07.2 260◦23.5 12◦24.2 80◦49.6 -12◦35.8 100◦03.8 -18◦22.68 68◦10.8 266◦10.0 9◦06.0 275◦24.5 12◦23.7 95◦52.3 -12◦35.9 115◦06.4 -18◦22.69 83◦13.2 281◦09.6 9◦04.8 290◦25.4 12◦23.1 110◦55.1 -12◦36.0 130◦09.1 -18◦22.710 98◦15.7 296◦09.3 9◦03.7 305◦26.4 12◦22.5 125◦57.8 -12◦36.1 145◦11.7 -18◦22.711 113◦18.2 311◦09.0 9◦02.5 320◦27.4 12◦21.9 141◦00.5 -12◦36.2 160◦14.4 -18◦22.812 128◦20.6 326◦08.7 9◦01.3 335◦28.3 12◦21.4 156◦03.3 -12◦36.3 175◦17.1 -18◦22.813 143◦23.1 341◦08.4 9◦00.1 350◦29.3 12◦20.8 171◦06.0 -12◦36.5 190◦19.7 -18◦22.914 158◦25.6 356◦08.1 8◦58.9 5◦30.3 12◦20.2 186◦08.7 -12◦36.6 205◦22.4 -18◦23.015 173◦28.0 11◦07.8 8◦57.7 20◦31.2 12◦19.7 201◦11.4 -12◦36.7 220◦25.0 -18◦23.016 188◦30.5 26◦07.5 8◦56.5 35◦32.2 12◦19.1 216◦14.2 -12◦36.8 235◦27.7 -18◦23.117 203◦32.9 41◦07.2 8◦55.3 50◦33.2 12◦18.5 231◦16.9 -12◦36.9 250◦30.3 -18◦23.118 218◦35.4 56◦06.9 8◦54.1 65◦34.1 12◦18.0 246◦19.6 -12◦37.0 265◦33.0 -18◦23.219 233◦37.9 71◦06.6 8◦52.9 80◦35.1 12◦17.4 261◦22.4 -12◦37.1 280◦35.6 -18◦23.220 248◦40.3 86◦06.3 8◦51.7 95◦36.1 12◦16.8 276◦25.1 -12◦37.2 295◦38.3 -18◦23.321 263◦42.8 101◦06.0 8◦50.5 110◦37.0 12◦16.3 291◦27.8 -12◦37.3 310◦40.9 -18◦23.322 278◦45.3 116◦05.7 8◦49.3 125◦38.0 12◦15.7 306◦30.5 -12◦37.4 325◦43.6 -18◦23.423 293◦47.7 131◦05.4 8◦48.1 140◦39.0 12◦15.1 321◦33.3 -12◦37.5 340◦46.2 -18◦23.4Mer.pass.:3:28: v-0.3 d-1.2 m-3.9 v1.0 d-0.6 m1.8 v2.7 d-0.1 m-2.7 v2.7 d-0.1 m0.2

Sat GHA GHA Dec GHA Dec GHA Dec GHA Dec0 308◦50.2 146◦05.0 8◦46.9 155◦39.9 12◦14.6 336◦36.0 -12◦37.6 355◦48.9 -18◦23.51 323◦52.7 161◦04.7 8◦45.7 170◦40.9 12◦14.0 351◦38.7 -12◦37.7 10◦51.5 -18◦23.52 338◦55.1 176◦04.4 8◦44.5 185◦41.9 12◦13.4 6◦41.5 -12◦37.8 25◦54.2 -18◦23.63 353◦57.6 191◦04.1 8◦43.3 200◦42.8 12◦12.8 21◦44.2 -12◦37.9 40◦56.8 -18◦23.74 9◦00.1 206◦03.8 8◦42.0 215◦43.8 12◦12.3 36◦46.9 -12◦38.1 55◦59.5 -18◦23.75 24◦02.5 221◦03.5 8◦40.8 230◦44.8 12◦11.7 51◦49.7 -12◦38.2 71◦02.1 -18◦23.86 39◦05.0 236◦03.2 8◦39.6 245◦45.7 12◦11.1 66◦52.4 -12◦38.3 86◦04.8 -18◦23.87 54◦07.4 251◦02.9 8◦38.4 260◦46.7 12◦10.6 81◦55.1 -12◦38.4 101◦07.4 -18◦23.98 69◦09.9 266◦02.6 8◦37.2 275◦47.7 12◦10.0 96◦57.9 -12◦38.5 116◦10.1 -18◦23.99 84◦12.4 281◦02.3 8◦36.0 290◦48.7 12◦09.4 112◦00.6 -12◦38.6 131◦12.7 -18◦24.010 99◦14.8 296◦02.0 8◦34.8 305◦49.6 12◦08.9 127◦03.3 -12◦38.7 146◦15.4 -18◦24.011 114◦17.3 311◦01.7 8◦33.6 320◦50.6 12◦08.3 142◦06.1 -12◦38.8 161◦18.0 -18◦24.112 129◦19.8 326◦01.4 8◦32.4 335◦51.6 12◦07.7 157◦08.8 -12◦38.9 176◦20.7 -18◦24.113 144◦22.2 341◦01.1 8◦31.2 350◦52.5 12◦07.1 172◦11.5 -12◦39.0 191◦23.3 -18◦24.214 159◦24.7 356◦00.8 8◦30.0 5◦53.5 12◦06.6 187◦14.3 -12◦39.1 206◦26.0 -18◦24.215 174◦27.2 11◦00.5 8◦28.8 20◦54.5 12◦06.0 202◦17.0 -12◦39.2 221◦28.6 -18◦24.316 189◦29.6 26◦00.2 8◦27.6 35◦55.4 12◦05.4 217◦19.7 -12◦39.3 236◦31.3 -18◦24.417 204◦32.1 40◦59.9 8◦26.4 50◦56.4 12◦04.9 232◦22.5 -12◦39.4 251◦33.9 -18◦24.418 219◦34.5 55◦59.6 8◦25.2 65◦57.4 12◦04.3 247◦25.2 -12◦39.6 266◦36.6 -18◦24.519 234◦37.0 70◦59.3 8◦24.0 80◦58.3 12◦03.7 262◦27.9 -12◦39.7 281◦39.2 -18◦24.520 249◦39.5 85◦59.1 8◦22.7 95◦59.3 12◦03.1 277◦30.7 -12◦39.8 296◦41.9 -18◦24.621 264◦41.9 100◦58.8 8◦21.5 111◦00.3 12◦02.6 292◦33.4 -12◦39.9 311◦44.6 -18◦24.622 279◦44.4 115◦58.5 8◦20.3 126◦01.2 12◦02.0 307◦36.1 -12◦40.0 326◦47.2 -18◦24.723 294◦46.9 130◦58.2 8◦19.1 141◦02.2 12◦01.4 322◦38.9 -12◦40.1 341◦49.9 -18◦24.7Mer.pass.:3:24: v-0.3 d-1.2 m-3.9 v1.0 d-0.6 m1.8 v2.7 d-0.1 m-2.7 v2.7 d-0.1 m0.2

Sun GHA GHA Dec GHA Dec GHA Dec GHA Dec0 309◦49.3 145◦57.9 8◦17.9 156◦03.2 12◦00.8 337◦41.6 -12◦40.2 356◦52.5 -18◦24.81 324◦51.8 160◦57.6 8◦16.7 171◦04.2 12◦00.3 352◦44.3 -12◦40.3 11◦55.2 -18◦24.82 339◦54.3 175◦57.3 8◦15.5 186◦05.1 11◦59.7 7◦47.1 -12◦40.4 26◦57.8 -18◦24.93 354◦56.7 190◦57.0 8◦14.3 201◦06.1 11◦59.1 22◦49.8 -12◦40.5 42◦00.5 -18◦24.94 9◦59.2 205◦56.7 8◦13.1 216◦07.1 11◦58.6 37◦52.5 -12◦40.6 57◦03.1 -18◦25.05 25◦01.7 220◦56.4 8◦11.8 231◦08.0 11◦58.0 52◦55.3 -12◦40.7 72◦05.8 -18◦25.16 40◦04.1 235◦56.1 8◦10.6 246◦09.0 11◦57.4 67◦58.0 -12◦40.8 87◦08.4 -18◦25.17 55◦06.6 250◦55.8 8◦09.4 261◦10.0 11◦56.8 83◦00.7 -12◦41.0 102◦11.1 -18◦25.28 70◦09.0 265◦55.5 8◦08.2 276◦10.9 11◦56.3 98◦03.5 -12◦41.1 117◦13.7 -18◦25.29 85◦11.5 280◦55.2 8◦07.0 291◦11.9 11◦55.7 113◦06.2 -12◦41.2 132◦16.4 -18◦25.310 100◦14.0 295◦54.9 8◦05.8 306◦12.9 11◦55.1 128◦09.0 -12◦41.3 147◦19.0 -18◦25.311 115◦16.4 310◦54.7 8◦04.6 321◦13.9 11◦54.5 143◦11.7 -12◦41.4 162◦21.7 -18◦25.412 130◦18.9 325◦54.4 8◦03.3 336◦14.8 11◦54.0 158◦14.4 -12◦41.5 177◦24.3 -18◦25.413 145◦21.4 340◦54.1 8◦02.1 351◦15.8 11◦53.4 173◦17.2 -12◦41.6 192◦27.0 -18◦25.514 160◦23.8 355◦53.8 8◦00.9 6◦16.8 11◦52.8 188◦19.9 -12◦41.7 207◦29.6 -18◦25.515 175◦26.3 10◦53.5 7◦59.7 21◦17.7 11◦52.2 203◦22.6 -12◦41.8 222◦32.3 -18◦25.616 190◦28.8 25◦53.2 7◦58.5 36◦18.7 11◦51.7 218◦25.4 -12◦41.9 237◦34.9 -18◦25.617 205◦31.2 40◦52.9 7◦57.3 51◦19.7 11◦51.1 233◦28.1 -12◦42.0 252◦37.6 -18◦25.718 220◦33.7 55◦52.6 7◦56.0 66◦20.6 11◦50.5 248◦30.9 -12◦42.2 267◦40.2 -18◦25.819 235◦36.2 70◦52.3 7◦54.8 81◦21.6 11◦49.9 263◦33.6 -12◦42.3 282◦42.9 -18◦25.820 250◦38.6 85◦52.1 7◦53.6 96◦22.6 11◦49.4 278◦36.3 -12◦42.4 297◦45.5 -18◦25.921 265◦41.1 100◦51.8 7◦52.4 111◦23.6 11◦48.8 293◦39.1 -12◦42.5 312◦48.2 -18◦25.922 280◦43.5 115◦51.5 7◦51.2 126◦24.5 11◦48.2 308◦41.8 -12◦42.6 327◦50.8 -18◦26.023 295◦46.0 130◦51.2 7◦50.0 141◦25.5 11◦47.6 323◦44.5 -12◦42.7 342◦53.5 -18◦26.0Mer.pass.:3:20: v-0.3 d-1.2 m-3.9 v1.0 d-0.6 m1.8 v2.7 d-0.1 m-2.7 v2.7 d-0.1 m0.2

StarsSHA Dec

Alpheratz 357◦37.4 29◦12.4Ankaa 353◦09.7 -42◦11.2

Schedar 349◦33.9 56◦39.0Diphda 348◦49.9 -17◦52.0

Achernar 335◦22.2 -57◦07.4Hamal 327◦54.3 23◦33.7Polaris 315◦24.0 89◦20.9Akamar 315◦14.0 -40◦12.9Menkar 314◦09.1 4◦10.4Mirfak 308◦32.4 49◦56.0

Aldebaran 290◦43.0 16◦33.1Rigel 281◦06.8 -8◦10.5

Capella 280◦26.4 46◦01.1Bellatrix 278◦26.1 6◦22.2Elnath 278◦05.7 28◦37.4Alnilam 275◦40.8 -1◦11.2

Betelgeuse 270◦55.4 7◦24.7Canopus 263◦54.1 -52◦42.2

Sirius 258◦28.9 -16◦44.5Adara 255◦08.4 -28◦60.0

Procyon 244◦54.0 5◦10.4Pollux 243◦21.0 27◦58.5Avior 234◦16.5 -59◦34.6Suhail 222◦48.8 -43◦31.1

Miaplacidus 221◦39.7 -69◦48.3Alphard 217◦50.8 -8◦45.0Regulus 207◦37.7 11◦51.9Dubhe 193◦45.0 61◦38.4

Denebola 182◦28.0 14◦27.3Gienah 175◦46.6 -17◦39.6Acrux 173◦03.5 -63◦13.2

Gacrux 171◦55.0 -57◦14.1Alioth 166◦15.8 55◦51.0Spica 158◦25.3 -11◦16.3Alcaid 152◦54.3 49◦12.7Hadar 148◦40.0 -60◦28.8

Menkent 148◦00.9 -36◦28.6Arcturus 145◦50.4 19◦04.8

Rigil Kent. 139◦44.0 -60◦55.6Zubenelg. 136◦59.1 -16◦07.8Kochab 137◦19.7 74◦04.4

Alphecca 126◦06.0 26◦38.8Antares 112◦19.1 -26◦28.7

Atria 107◦15.4 -69◦04.1Sabik 102◦05.8 -15◦45.0

Shaula 96◦13.9 -37◦07.1Rasalhague 96◦00.9 12◦32.9

Etamin 90◦43.1 51◦29.4Kaus Aust. 83◦35.9 -34◦22.4

Vega 80◦34.8 38◦48.3Nunki 75◦50.9 -26◦16.1Altair 62◦02.4 8◦55.5

Peacock 53◦09.6 -56◦39.9Deneb 49◦27.2 45◦21.4

Enif 33◦41.2 9◦58.4Alnair 27◦36.1 -46◦51.3

Fomalhaut 15◦17.4 -29◦30.4Scheat 13◦47.6 28◦11.9Markab 13◦32.4 15◦19.2

2021/7/3 SHA Mer.passVenus 198◦21.4 14:15Mars 207◦25.7 13:38

Jupiter 27◦39.5 01:38Saturn 46◦54.2 00:21

2021/7/3 SHA Mer.passVenus 197◦14.9 14:16Mars 206◦49.7 13:36

Jupiter 27◦45.8 01:33Saturn 46◦58.7 00:17

2021/8/1 SHA Mer.passVenus 196◦08.5 14:16Mars 206◦13.9 13:35

Jupiter 27◦52.3 01:29Saturn 47◦03.2 00:12

Horizontal paralaxVenus: 0.1Mars: 0.1

142

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2021 July 30 to Aug. 01

h Sun MoonFri GHA Dec GHA ν Dec d HP0 178◦23.2 18◦30.3 288◦05.8 15.7 4◦09.9 13.1 55.11 193◦23.2 18◦29.7 302◦40.5 15.7 4◦23.0 13.1 55.12 208◦23.2 18◦29.1 317◦15.3 15.8 4◦36.1 13.1 55.13 223◦23.3 18◦28.4 331◦50.0 15.8 4◦49.2 13.0 55.14 238◦23.3 18◦27.8 346◦24.8 15.8 5◦02.2 13.0 55.15 253◦23.3 18◦27.2 0◦59.5 15.8 5◦15.2 13.0 55.06 268◦23.4 18◦26.6 15◦34.3 15.8 5◦28.1 12.9 55.07 283◦23.4 18◦26.0 30◦09.1 15.8 5◦41.1 12.9 55.08 298◦23.4 18◦25.4 44◦43.9 15.8 5◦53.9 12.9 55.09 313◦23.4 18◦24.8 59◦18.6 15.8 6◦06.8 12.8 54.910 328◦23.5 18◦24.2 73◦53.4 15.8 6◦19.6 12.8 54.911 343◦23.5 18◦23.6 88◦28.2 15.8 6◦32.4 12.8 54.912 358◦23.5 18◦23.0 103◦02.9 15.8 6◦45.2 12.7 54.913 13◦23.6 18◦22.4 117◦37.7 15.8 6◦57.9 12.7 54.914 28◦23.6 18◦21.8 132◦12.5 15.8 7◦10.6 12.7 54.815 43◦23.6 18◦21.1 146◦47.2 15.8 7◦23.2 12.6 54.816 58◦23.6 18◦20.5 161◦22.0 15.7 7◦35.9 12.6 54.817 73◦23.7 18◦19.9 175◦56.7 15.7 7◦48.4 12.6 54.818 88◦23.7 18◦19.3 190◦31.4 15.7 8◦01.0 12.5 54.819 103◦23.7 18◦18.7 205◦06.2 15.7 8◦13.5 12.5 54.820 118◦23.8 18◦18.1 219◦40.9 15.7 8◦25.9 12.4 54.721 133◦23.8 18◦17.5 234◦15.6 15.7 8◦38.3 12.4 54.722 148◦23.8 18◦16.8 248◦50.3 15.7 8◦50.7 12.4 54.723 163◦23.9 18◦16.2 263◦24.9 15.7 9◦03.0 12.3 54.7

SD.=15.8 d=-0.6 S.D.=15.0

Sat GHA Dec GHA ν Dec d HP0 178◦23.9 18◦15.6 277◦59.6 15.7 9◦15.3 12.3 54.71 193◦23.9 18◦15.0 292◦34.2 15.6 9◦27.6 12.2 54.72 208◦24.0 18◦14.4 307◦08.9 15.6 9◦39.8 12.2 54.63 223◦24.0 18◦13.8 321◦43.5 15.6 9◦51.9 12.1 54.64 238◦24.0 18◦13.1 336◦18.1 15.6 10◦04.1 12.1 54.65 253◦24.0 18◦12.5 350◦52.6 15.6 10◦16.1 12.0 54.66 268◦24.1 18◦11.9 5◦27.2 15.5 10◦28.1 12.0 54.67 283◦24.1 18◦11.3 20◦01.7 15.5 10◦40.1 12.0 54.68 298◦24.1 18◦10.7 34◦36.2 15.5 10◦52.0 11.9 54.69 313◦24.2 18◦10.0 49◦10.7 15.5 11◦03.9 11.9 54.510 328◦24.2 18◦09.4 63◦45.2 15.5 11◦15.7 11.8 54.511 343◦24.3 18◦08.8 78◦19.6 15.4 11◦27.5 11.8 54.512 358◦24.3 18◦08.2 92◦54.1 15.4 11◦39.3 11.7 54.513 13◦24.3 18◦07.6 107◦28.4 15.4 11◦50.9 11.7 54.514 28◦24.4 18◦06.9 122◦02.8 15.3 12◦02.6 11.6 54.515 43◦24.4 18◦06.3 136◦37.1 15.3 12◦14.1 11.5 54.516 58◦24.4 18◦05.7 151◦11.5 15.3 12◦25.7 11.5 54.417 73◦24.5 18◦05.1 165◦45.7 15.3 12◦37.1 11.4 54.418 88◦24.5 18◦04.4 180◦20.0 15.2 12◦48.5 11.4 54.419 103◦24.5 18◦03.8 194◦54.2 15.2 12◦59.9 11.3 54.420 118◦24.6 18◦03.2 209◦28.4 15.2 13◦11.2 11.3 54.421 133◦24.6 18◦02.5 224◦02.5 15.1 13◦22.5 11.2 54.422 148◦24.6 18◦01.9 238◦36.6 15.1 13◦33.6 11.2 54.423 163◦24.7 18◦01.3 253◦10.7 15.1 13◦44.8 11.1 54.4

SD.=15.8 d=-0.6 S.D.=14.9

Sun GHA Dec GHA ν Dec d HP0 178◦24.7 18◦00.7 267◦44.8 15.0 13◦55.9 11.0 54.41 193◦24.8 18◦00.0 282◦18.8 15.0 14◦06.9 11.0 54.42 208◦24.8 17◦59.4 296◦52.8 15.0 14◦17.8 10.9 54.33 223◦24.8 17◦58.8 311◦26.7 14.9 14◦28.7 10.9 54.34 238◦24.9 17◦58.1 326◦00.6 14.9 14◦39.6 10.8 54.35 253◦24.9 17◦57.5 340◦34.5 14.8 14◦50.3 10.7 54.36 268◦25.0 17◦56.9 355◦08.3 14.8 15◦01.1 10.7 54.37 283◦25.0 17◦56.2 9◦42.1 14.8 15◦11.7 10.6 54.38 298◦25.0 17◦55.6 24◦15.8 14.7 15◦22.3 10.6 54.39 313◦25.1 17◦55.0 38◦49.5 14.7 15◦32.8 10.5 54.310 328◦25.1 17◦54.3 53◦23.1 14.6 15◦43.3 10.4 54.311 343◦25.2 17◦53.7 67◦56.7 14.6 15◦53.7 10.4 54.312 358◦25.2 17◦53.1 82◦30.3 14.5 16◦04.0 10.3 54.313 13◦25.2 17◦52.4 97◦03.8 14.5 16◦14.3 10.2 54.314 28◦25.3 17◦51.8 111◦37.3 14.5 16◦24.5 10.2 54.315 43◦25.3 17◦51.2 126◦10.7 14.4 16◦34.6 10.1 54.316 58◦25.4 17◦50.5 140◦44.1 14.4 16◦44.7 10.0 54.317 73◦25.4 17◦49.9 155◦17.5 14.3 16◦54.7 10.0 54.218 88◦25.4 17◦49.3 169◦50.7 14.3 17◦04.6 9.9 54.219 103◦25.5 17◦48.6 184◦24.0 14.2 17◦14.4 9.8 54.220 118◦25.5 17◦48.0 198◦57.2 14.2 17◦24.2 9.7 54.221 133◦25.6 17◦47.3 213◦30.3 14.1 17◦33.9 9.7 54.222 148◦25.6 17◦46.7 228◦03.4 14.1 17◦43.5 9.6 54.223 163◦25.7 17◦46.1 242◦36.4 14.0 17◦53.1 9.5 54.2

SD.=15.8 d=-0.6 S.D.=14.8

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 –:– –:– –:– –:– –:– –:–70 –:– –:– 01:19 22:45 –:– –:–68 –:– –:– 02:11 21:58 –:– –:–66 –:– –:– 02:42 21:27 –:– –:–64 –:– 01:35 03:05 21:05 22:33 –:–62 –:– 02:12 03:24 20:47 21:58 –:–60 –:– 02:37 03:39 20:32 21:33 –:–58 01:26 02:57 03:51 20:20 21:13 22:4256 01:60 03:13 04:02 20:09 20:58 22:1054 02:24 03:27 04:12 19:60 20:44 21:4752 02:42 03:39 04:20 19:51 20:33 21:2850 02:58 03:49 04:28 19:44 20:22 21:1345 03:28 04:10 04:44 19:28 20:01 20:4440 03:50 04:27 04:58 19:15 19:45 20:2235 04:07 04:41 05:09 19:04 19:31 20:0530 04:21 04:52 05:19 18:54 19:20 19:5120 04:44 05:12 05:35 18:37 19:01 19:2910 05:01 05:27 05:50 18:23 18:45 19:110 05:16 05:41 06:03 18:10 18:32 18:57-10 05:29 05:54 06:16 17:57 18:19 18:44-20 05:40 06:07 06:30 17:43 18:06 18:33-30 05:52 06:21 06:46 17:27 17:52 18:21-35 05:58 06:28 06:55 17:18 17:45 18:15-40 06:04 06:37 07:06 17:07 17:36 18:09-45 06:11 06:46 07:18 16:55 17:27 18:02-50 06:18 06:57 07:33 16:41 17:16 17:55-52 06:21 07:02 07:40 16:34 17:11 17:52-54 06:25 07:08 07:47 16:26 17:06 17:49-56 06:28 07:14 07:56 16:18 16:60 17:45-58 06:32 07:21 08:06 16:08 16:53 17:41-60 06:37 07:28 08:17 15:57 16:45 17:37

Moonrise MoonsetLat. Fri Sat Sun Fri Sat Sun72 21:32 20:58 19:51 12:35 14:38 17:1570 21:45 21:22 20:47 12:24 14:15 16:2068 21:55 21:40 21:21 12:16 13:58 15:4766 22:04 21:55 21:46 12:09 13:44 15:2364 22:11 22:08 22:05 12:03 13:33 15:0562 22:17 22:19 22:21 11:58 13:24 14:5060 22:23 22:28 22:34 11:54 13:15 14:3758 22:28 22:36 22:46 11:50 13:08 14:2756 22:32 22:43 22:56 11:47 13:02 14:1754 22:36 22:49 23:05 11:44 12:56 14:0952 22:40 22:55 23:13 11:41 12:51 14:0150 22:43 23:00 23:20 11:39 12:47 13:5545 22:50 23:11 23:35 11:33 12:37 13:4140 22:56 23:21 23:48 11:29 12:29 13:2935 23:01 23:29 23:59 11:25 12:22 13:1930 23:06 23:36 –:– 11:22 12:16 13:1020 23:14 23:48 –:– 11:16 12:05 12:5610 23:21 23:59 –:– 11:11 11:56 12:430 23:28 –:– 00:10 11:06 11:48 12:30-10 23:34 –:– 00:20 11:01 11:39 12:18-20 23:41 –:– 00:31 10:56 11:30 12:06-30 23:50 –:– 00:44 10:50 11:20 11:51-35 23:54 –:– 00:51 10:47 11:14 11:43-40 23:60 –:– 00:60 10:43 11:07 11:33-45 –:– 00:06 01:10 10:39 10:59 11:22-50 –:– 00:14 01:22 10:34 10:50 11:08-52 –:– 00:18 01:28 10:31 10:46 11:02-54 –:– 00:22 01:34 10:29 10:41 10:55-56 –:– 00:26 01:41 10:26 10:36 10:47-58 –:– 00:31 01:49 10:23 10:30 10:39-60 –:– 00:36 01:58 10:19 10:24 10:29

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower30 06:27 06:26 12:06 04:55 17:16 20(60%)31 06:24 06:23 12:06 05:37 17:58 21(51%)1 06:21 06:19 12:06 06:20 18:41 22(41%)

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August 02, 03 ,04 (Mon., Tue., Wed.)Aries Venus Mars Jupiter Saturn

Mon GHA GHA Dec GHA Dec GHA Dec GHA Dec0 310◦48.5 145◦50.9 7◦48.7 156◦26.5 11◦47.1 338◦47.3 -12◦42.8 357◦56.1 -18◦26.11 325◦50.9 160◦50.6 7◦47.5 171◦27.4 11◦46.5 353◦50.0 -12◦42.9 12◦58.8 -18◦26.12 340◦53.4 175◦50.3 7◦46.3 186◦28.4 11◦45.9 8◦52.8 -12◦43.0 28◦01.5 -18◦26.23 355◦55.9 190◦50.1 7◦45.1 201◦29.4 11◦45.3 23◦55.5 -12◦43.1 43◦04.1 -18◦26.24 10◦58.3 205◦49.8 7◦43.9 216◦30.4 11◦44.8 38◦58.2 -12◦43.2 58◦06.8 -18◦26.35 26◦00.8 220◦49.5 7◦42.6 231◦31.3 11◦44.2 54◦01.0 -12◦43.4 73◦09.4 -18◦26.36 41◦03.3 235◦49.2 7◦41.4 246◦32.3 11◦43.6 69◦03.7 -12◦43.5 88◦12.1 -18◦26.47 56◦05.7 250◦48.9 7◦40.2 261◦33.3 11◦43.0 84◦06.5 -12◦43.6 103◦14.7 -18◦26.58 71◦08.2 265◦48.6 7◦39.0 276◦34.2 11◦42.4 99◦09.2 -12◦43.7 118◦17.4 -18◦26.59 86◦10.7 280◦48.4 7◦37.7 291◦35.2 11◦41.9 114◦11.9 -12◦43.8 133◦20.0 -18◦26.610 101◦13.1 295◦48.1 7◦36.5 306◦36.2 11◦41.3 129◦14.7 -12◦43.9 148◦22.7 -18◦26.611 116◦15.6 310◦47.8 7◦35.3 321◦37.2 11◦40.7 144◦17.4 -12◦44.0 163◦25.3 -18◦26.712 131◦18.0 325◦47.5 7◦34.1 336◦38.1 11◦40.1 159◦20.2 -12◦44.1 178◦28.0 -18◦26.713 146◦20.5 340◦47.2 7◦32.9 351◦39.1 11◦39.6 174◦22.9 -12◦44.2 193◦30.6 -18◦26.814 161◦23.0 355◦46.9 7◦31.6 6◦40.1 11◦39.0 189◦25.6 -12◦44.3 208◦33.3 -18◦26.815 176◦25.4 10◦46.7 7◦30.4 21◦41.0 11◦38.4 204◦28.4 -12◦44.4 223◦35.9 -18◦26.916 191◦27.9 25◦46.4 7◦29.2 36◦42.0 11◦37.8 219◦31.1 -12◦44.6 238◦38.6 -18◦26.917 206◦30.4 40◦46.1 7◦28.0 51◦43.0 11◦37.2 234◦33.9 -12◦44.7 253◦41.2 -18◦27.018 221◦32.8 55◦45.8 7◦26.7 66◦44.0 11◦36.7 249◦36.6 -12◦44.8 268◦43.9 -18◦27.019 236◦35.3 70◦45.5 7◦25.5 81◦44.9 11◦36.1 264◦39.4 -12◦44.9 283◦46.5 -18◦27.120 251◦37.8 85◦45.3 7◦24.3 96◦45.9 11◦35.5 279◦42.1 -12◦45.0 298◦49.2 -18◦27.221 266◦40.2 100◦45.0 7◦23.1 111◦46.9 11◦34.9 294◦44.8 -12◦45.1 313◦51.8 -18◦27.222 281◦42.7 115◦44.7 7◦21.8 126◦47.8 11◦34.4 309◦47.6 -12◦45.2 328◦54.5 -18◦27.323 296◦45.1 130◦44.4 7◦20.6 141◦48.8 11◦33.8 324◦50.3 -12◦45.3 343◦57.1 -18◦27.3Mer.pass.:3:16: v-0.3 d-1.2 m-3.9 v1.0 d-0.6 m1.8 v2.7 d-0.1 m-2.7 v2.7 d-0.1 m0.2

Tue GHA GHA Dec GHA Dec GHA Dec GHA Dec0 311◦47.6 145◦44.2 7◦19.4 156◦49.8 11◦33.2 339◦53.1 -12◦45.4 358◦59.8 -18◦27.41 326◦50.1 160◦43.9 7◦18.1 171◦50.8 11◦32.6 354◦55.8 -12◦45.6 14◦02.4 -18◦27.42 341◦52.5 175◦43.6 7◦16.9 186◦51.7 11◦32.0 9◦58.6 -12◦45.7 29◦05.1 -18◦27.53 356◦55.0 190◦43.3 7◦15.7 201◦52.7 11◦31.5 25◦01.3 -12◦45.8 44◦07.8 -18◦27.54 11◦57.5 205◦43.0 7◦14.5 216◦53.7 11◦30.9 40◦04.0 -12◦45.9 59◦10.4 -18◦27.65 26◦59.9 220◦42.8 7◦13.2 231◦54.7 11◦30.3 55◦06.8 -12◦46.0 74◦13.1 -18◦27.66 42◦02.4 235◦42.5 7◦12.0 246◦55.6 11◦29.7 70◦09.5 -12◦46.1 89◦15.7 -18◦27.77 57◦04.9 250◦42.2 7◦10.8 261◦56.6 11◦29.1 85◦12.3 -12◦46.2 104◦18.4 -18◦27.78 72◦07.3 265◦41.9 7◦09.5 276◦57.6 11◦28.6 100◦15.0 -12◦46.3 119◦21.0 -18◦27.89 87◦09.8 280◦41.7 7◦08.3 291◦58.5 11◦28.0 115◦17.8 -12◦46.4 134◦23.7 -18◦27.810 102◦12.3 295◦41.4 7◦07.1 306◦59.5 11◦27.4 130◦20.5 -12◦46.5 149◦26.3 -18◦27.911 117◦14.7 310◦41.1 7◦05.9 322◦00.5 11◦26.8 145◦23.3 -12◦46.7 164◦29.0 -18◦28.012 132◦17.2 325◦40.9 7◦04.6 337◦01.5 11◦26.2 160◦26.0 -12◦46.8 179◦31.6 -18◦28.013 147◦19.6 340◦40.6 7◦03.4 352◦02.4 11◦25.7 175◦28.7 -12◦46.9 194◦34.3 -18◦28.114 162◦22.1 355◦40.3 7◦02.2 7◦03.4 11◦25.1 190◦31.5 -12◦47.0 209◦36.9 -18◦28.115 177◦24.6 10◦40.0 7◦00.9 22◦04.4 11◦24.5 205◦34.2 -12◦47.1 224◦39.6 -18◦28.216 192◦27.0 25◦39.8 6◦59.7 37◦05.4 11◦23.9 220◦37.0 -12◦47.2 239◦42.2 -18◦28.217 207◦29.5 40◦39.5 6◦58.5 52◦06.3 11◦23.3 235◦39.7 -12◦47.3 254◦44.9 -18◦28.318 222◦32.0 55◦39.2 6◦57.2 67◦07.3 11◦22.7 250◦42.5 -12◦47.4 269◦47.5 -18◦28.319 237◦34.4 70◦38.9 6◦56.0 82◦08.3 11◦22.2 265◦45.2 -12◦47.5 284◦50.2 -18◦28.420 252◦36.9 85◦38.7 6◦54.8 97◦09.3 11◦21.6 280◦48.0 -12◦47.7 299◦52.8 -18◦28.421 267◦39.4 100◦38.4 6◦53.5 112◦10.2 11◦21.0 295◦50.7 -12◦47.8 314◦55.5 -18◦28.522 282◦41.8 115◦38.1 6◦52.3 127◦11.2 11◦20.4 310◦53.5 -12◦47.9 329◦58.1 -18◦28.523 297◦44.3 130◦37.9 6◦51.1 142◦12.2 11◦19.8 325◦56.2 -12◦48.0 345◦00.8 -18◦28.6Mer.pass.:3:12: v-0.3 d-1.2 m-3.9 v1.0 d-0.6 m1.8 v2.7 d-0.1 m-2.7 v2.7 d-0.1 m0.2

Wed GHA GHA Dec GHA Dec GHA Dec GHA Dec0 312◦46.8 145◦37.6 6◦49.8 157◦13.2 11◦19.3 340◦59.0 -12◦48.1 0◦03.4 -18◦28.71 327◦49.2 160◦37.3 6◦48.6 172◦14.1 11◦18.7 356◦01.7 -12◦48.2 15◦06.1 -18◦28.72 342◦51.7 175◦37.1 6◦47.4 187◦15.1 11◦18.1 11◦04.5 -12◦48.3 30◦08.7 -18◦28.83 357◦54.1 190◦36.8 6◦46.1 202◦16.1 11◦17.5 26◦07.2 -12◦48.4 45◦11.4 -18◦28.84 12◦56.6 205◦36.5 6◦44.9 217◦17.0 11◦16.9 41◦09.9 -12◦48.5 60◦14.0 -18◦28.95 27◦59.1 220◦36.3 6◦43.7 232◦18.0 11◦16.3 56◦12.7 -12◦48.7 75◦16.7 -18◦28.96 43◦01.5 235◦36.0 6◦42.4 247◦19.0 11◦15.8 71◦15.4 -12◦48.8 90◦19.4 -18◦29.07 58◦04.0 250◦35.7 6◦41.2 262◦20.0 11◦15.2 86◦18.2 -12◦48.9 105◦22.0 -18◦29.08 73◦06.5 265◦35.5 6◦39.9 277◦20.9 11◦14.6 101◦20.9 -12◦49.0 120◦24.7 -18◦29.19 88◦08.9 280◦35.2 6◦38.7 292◦21.9 11◦14.0 116◦23.7 -12◦49.1 135◦27.3 -18◦29.110 103◦11.4 295◦34.9 6◦37.5 307◦22.9 11◦13.4 131◦26.4 -12◦49.2 150◦30.0 -18◦29.211 118◦13.9 310◦34.7 6◦36.2 322◦23.9 11◦12.8 146◦29.2 -12◦49.3 165◦32.6 -18◦29.212 133◦16.3 325◦34.4 6◦35.0 337◦24.8 11◦12.3 161◦31.9 -12◦49.4 180◦35.3 -18◦29.313 148◦18.8 340◦34.1 6◦33.8 352◦25.8 11◦11.7 176◦34.7 -12◦49.6 195◦37.9 -18◦29.314 163◦21.3 355◦33.9 6◦32.5 7◦26.8 11◦11.1 191◦37.4 -12◦49.7 210◦40.6 -18◦29.415 178◦23.7 10◦33.6 6◦31.3 22◦27.8 11◦10.5 206◦40.2 -12◦49.8 225◦43.2 -18◦29.516 193◦26.2 25◦33.3 6◦30.0 37◦28.7 11◦09.9 221◦42.9 -12◦49.9 240◦45.9 -18◦29.517 208◦28.6 40◦33.1 6◦28.8 52◦29.7 11◦09.3 236◦45.7 -12◦50.0 255◦48.5 -18◦29.618 223◦31.1 55◦32.8 6◦27.6 67◦30.7 11◦08.8 251◦48.4 -12◦50.1 270◦51.2 -18◦29.619 238◦33.6 70◦32.5 6◦26.3 82◦31.7 11◦08.2 266◦51.2 -12◦50.2 285◦53.8 -18◦29.720 253◦36.0 85◦32.3 6◦25.1 97◦32.6 11◦07.6 281◦53.9 -12◦50.3 300◦56.5 -18◦29.721 268◦38.5 100◦32.0 6◦23.8 112◦33.6 11◦07.0 296◦56.7 -12◦50.5 315◦59.1 -18◦29.822 283◦41.0 115◦31.8 6◦22.6 127◦34.6 11◦06.4 311◦59.4 -12◦50.6 331◦01.8 -18◦29.823 298◦43.4 130◦31.5 6◦21.4 142◦35.6 11◦05.8 327◦02.2 -12◦50.7 346◦04.4 -18◦29.9Mer.pass.:3:08: v-0.3 d-1.2 m-3.9 v1.0 d-0.6 m1.8 v2.7 d-0.1 m-2.7 v2.7 d-0.1 m0.2

StarsSHA Dec

Alpheratz 357◦37.4 29◦12.5Ankaa 353◦09.7 -42◦11.2

Schedar 349◦33.9 56◦39.1Diphda 348◦49.9 -17◦52.0

Achernar 335◦22.2 -57◦07.4Hamal 327◦54.3 23◦33.7Polaris 315◦22.3 89◦20.9Akamar 315◦14.0 -40◦12.9Menkar 314◦09.1 4◦10.4Mirfak 308◦32.3 49◦56.0

Aldebaran 290◦43.0 16◦33.1Rigel 281◦06.8 -8◦10.5

Capella 280◦26.3 46◦01.0Bellatrix 278◦26.1 6◦22.2Elnath 278◦05.7 28◦37.4Alnilam 275◦40.8 -1◦11.2

Betelgeuse 270◦55.4 7◦24.7Canopus 263◦54.1 -52◦42.2

Sirius 258◦28.9 -16◦44.4Adara 255◦08.4 -28◦59.9

Procyon 244◦54.0 5◦10.4Pollux 243◦21.0 27◦58.5Avior 234◦16.5 -59◦34.6Suhail 222◦48.8 -43◦31.1

Miaplacidus 221◦39.7 -69◦48.3Alphard 217◦50.8 -8◦45.0Regulus 207◦37.7 11◦51.9Dubhe 193◦45.1 61◦38.4

Denebola 182◦28.0 14◦27.3Gienah 175◦46.6 -17◦39.6Acrux 173◦03.5 -63◦13.2

Gacrux 171◦55.0 -57◦14.1Alioth 166◦15.8 55◦51.0Spica 158◦25.3 -11◦16.3Alcaid 152◦54.4 49◦12.7Hadar 148◦40.0 -60◦28.7

Menkent 148◦01.0 -36◦28.6Arcturus 145◦50.4 19◦04.8

Rigil Kent. 139◦44.1 -60◦55.6Zubenelg. 136◦59.1 -16◦07.8Kochab 137◦19.8 74◦04.4

Alphecca 126◦06.1 26◦38.8Antares 112◦19.1 -26◦28.7

Atria 107◦15.5 -69◦04.1Sabik 102◦05.8 -15◦45.0

Shaula 96◦13.9 -37◦07.1Rasalhague 96◦00.9 12◦32.9

Etamin 90◦43.1 51◦29.4Kaus Aust. 83◦35.9 -34◦22.4

Vega 80◦34.8 38◦48.4Nunki 75◦50.9 -26◦16.1Altair 62◦02.4 8◦55.6

Peacock 53◦09.6 -56◦39.9Deneb 49◦27.2 45◦21.4

Enif 33◦41.2 9◦58.5Alnair 27◦36.0 -46◦51.3

Fomalhaut 15◦17.4 -29◦30.4Scheat 13◦47.6 28◦11.9Markab 13◦32.4 15◦19.2

2021/8/2 SHA Mer.passVenus 195◦02.4 14:17Mars 205◦38.0 13:33

Jupiter 27◦58.8 01:25Saturn 47◦07.7 00:08

2021/8/3 SHA Mer.passVenus 193◦56.5 14:17Mars 205◦02.2 13:32

Jupiter 28◦05.5 01:20Saturn 47◦12.2 00:04

2021/8/4 SHA Mer.passVenus 192◦50.8 14:18Mars 204◦26.4 13:30

Jupiter 28◦12.2 01:16Saturn 47◦16.7 23:56

Horizontal paralaxVenus: 0.1Mars: 0.1

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2021 August 02 to Aug. 04

h Sun MoonMon GHA Dec GHA ν Dec d HP0 178◦25.7 17◦45.4 257◦09.4 14.0 18◦02.6 9.4 54.21 193◦25.7 17◦44.8 271◦42.4 13.9 18◦12.0 9.4 54.22 208◦25.8 17◦44.1 286◦15.3 13.9 18◦21.3 9.3 54.23 223◦25.8 17◦43.5 300◦48.1 13.8 18◦30.6 9.2 54.24 238◦25.9 17◦42.8 315◦20.9 13.8 18◦39.8 9.1 54.25 253◦25.9 17◦42.2 329◦53.6 13.7 18◦48.9 9.1 54.26 268◦26.0 17◦41.6 344◦26.3 13.6 18◦57.9 9.0 54.27 283◦26.0 17◦40.9 358◦58.9 13.6 19◦06.8 8.9 54.28 298◦26.1 17◦40.3 13◦31.4 13.5 19◦15.7 8.8 54.29 313◦26.1 17◦39.6 28◦03.9 13.5 19◦24.5 8.7 54.210 328◦26.2 17◦39.0 42◦36.4 13.4 19◦33.2 8.7 54.211 343◦26.2 17◦38.3 57◦08.8 13.4 19◦41.8 8.6 54.212 358◦26.3 17◦37.7 71◦41.1 13.3 19◦50.3 8.5 54.213 13◦26.3 17◦37.0 86◦13.4 13.3 19◦58.8 8.4 54.214 28◦26.3 17◦36.4 100◦45.6 13.2 20◦07.2 8.3 54.215 43◦26.4 17◦35.7 115◦17.8 13.1 20◦15.4 8.2 54.216 58◦26.4 17◦35.1 129◦49.9 13.1 20◦23.6 8.2 54.217 73◦26.5 17◦34.4 144◦21.9 13.0 20◦31.7 8.1 54.218 88◦26.5 17◦33.8 158◦53.9 13.0 20◦39.8 8.0 54.219 103◦26.6 17◦33.1 173◦25.9 12.9 20◦47.7 7.9 54.220 118◦26.6 17◦32.5 187◦57.7 12.8 20◦55.6 7.8 54.221 133◦26.7 17◦31.8 202◦29.6 12.8 21◦03.3 7.7 54.222 148◦26.7 17◦31.2 217◦01.3 12.7 21◦11.0 7.6 54.223 163◦26.8 17◦30.5 231◦33.0 12.7 21◦18.6 7.5 54.3

SD.=15.8 d=-0.6 S.D.=14.8

Tue GHA Dec GHA ν Dec d HP0 178◦26.8 17◦29.9 246◦04.6 12.6 21◦26.0 7.4 54.31 193◦26.9 17◦29.2 260◦36.2 12.5 21◦33.4 7.3 54.32 208◦26.9 17◦28.6 275◦07.7 12.5 21◦40.7 7.3 54.33 223◦27.0 17◦27.9 289◦39.2 12.4 21◦47.9 7.2 54.34 238◦27.0 17◦27.3 304◦10.6 12.4 21◦55.0 7.1 54.35 253◦27.1 17◦26.6 318◦41.9 12.3 22◦02.0 7.0 54.36 268◦27.1 17◦26.0 333◦13.2 12.2 22◦09.0 6.9 54.37 283◦27.2 17◦25.3 347◦44.4 12.2 22◦15.8 6.8 54.38 298◦27.2 17◦24.6 2◦15.6 12.1 22◦22.5 6.7 54.39 313◦27.3 17◦24.0 16◦46.7 12.1 22◦29.1 6.6 54.310 328◦27.3 17◦23.3 31◦17.7 12.0 22◦35.6 6.5 54.311 343◦27.4 17◦22.7 45◦48.7 11.9 22◦42.1 6.4 54.312 358◦27.5 17◦22.0 60◦19.6 11.9 22◦48.4 6.3 54.313 13◦27.5 17◦21.3 74◦50.4 11.8 22◦54.6 6.2 54.314 28◦27.6 17◦20.7 89◦21.2 11.8 23◦00.7 6.1 54.315 43◦27.6 17◦20.0 103◦52.0 11.7 23◦06.7 6.0 54.416 58◦27.7 17◦19.4 118◦22.7 11.6 23◦12.7 5.9 54.417 73◦27.7 17◦18.7 132◦53.3 11.6 23◦18.5 5.8 54.418 88◦27.8 17◦18.0 147◦23.8 11.5 23◦24.2 5.6 54.419 103◦27.8 17◦17.4 161◦54.3 11.5 23◦29.8 5.5 54.420 118◦27.9 17◦16.7 176◦24.8 11.4 23◦35.3 5.4 54.421 133◦27.9 17◦16.1 190◦55.2 11.4 23◦40.6 5.3 54.422 148◦28.0 17◦15.4 205◦25.5 11.3 23◦45.9 5.2 54.423 163◦28.1 17◦14.7 219◦55.7 11.2 23◦51.1 5.1 54.4

SD.=15.8 d=-0.7 S.D.=14.8

Wed GHA Dec GHA ν Dec d HP0 178◦28.1 17◦14.1 234◦26.0 11.2 23◦56.1 5.0 54.41 193◦28.2 17◦13.4 248◦56.1 11.1 24◦01.1 4.9 54.52 208◦28.2 17◦12.7 263◦26.2 11.1 24◦05.9 4.8 54.53 223◦28.3 17◦12.1 277◦56.2 11.0 24◦10.6 4.7 54.54 238◦28.3 17◦11.4 292◦26.2 11.0 24◦15.2 4.6 54.55 253◦28.4 17◦10.7 306◦56.2 10.9 24◦19.7 4.4 54.56 268◦28.5 17◦10.1 321◦26.0 10.8 24◦24.1 4.3 54.57 283◦28.5 17◦09.4 335◦55.9 10.8 24◦28.4 4.2 54.58 298◦28.6 17◦08.7 350◦25.6 10.7 24◦32.5 4.1 54.59 313◦28.6 17◦08.1 4◦55.3 10.7 24◦36.6 4.0 54.510 328◦28.7 17◦07.4 19◦25.0 10.6 24◦40.5 3.9 54.611 343◦28.7 17◦06.7 33◦54.6 10.6 24◦44.3 3.7 54.612 358◦28.8 17◦06.0 48◦24.2 10.5 24◦48.0 3.6 54.613 13◦28.9 17◦05.4 62◦53.7 10.5 24◦51.6 3.5 54.614 28◦28.9 17◦04.7 77◦23.1 10.4 24◦55.0 3.4 54.615 43◦29.0 17◦04.0 91◦52.5 10.4 24◦58.3 3.3 54.616 58◦29.0 17◦03.4 106◦21.9 10.3 25◦01.5 3.1 54.617 73◦29.1 17◦02.7 120◦51.2 10.3 25◦04.6 3.0 54.718 88◦29.2 17◦02.0 135◦20.5 10.2 25◦07.6 2.9 54.719 103◦29.2 17◦01.3 149◦49.7 10.2 25◦10.4 2.8 54.720 118◦29.3 17◦00.7 164◦18.8 10.1 25◦13.2 2.7 54.721 133◦29.3 16◦60.0 178◦48.0 10.1 25◦15.8 2.5 54.722 148◦29.4 16◦59.3 193◦17.0 10.1 25◦18.2 2.4 54.723 163◦29.5 16◦58.6 207◦46.1 10.0 25◦20.6 2.3 54.7

SD.=15.8 d=-0.7 S.D.=14.9

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 –:– –:– –:– –:– –:– –:–70 –:– –:– 01:45 22:21 –:– –:–68 –:– –:– 02:26 21:42 –:– –:–66 –:– 00:55 02:54 21:15 23:06 –:–64 –:– 01:52 03:15 20:55 22:16 –:–62 –:– 02:24 03:32 20:39 21:45 –:–60 00:50 02:47 03:46 20:25 21:23 23:1358 01:41 03:05 03:58 20:13 21:05 22:2756 02:11 03:20 04:08 20:03 20:50 21:5954 02:32 03:33 04:17 19:54 20:38 21:3852 02:49 03:44 04:25 19:46 20:27 21:2150 03:04 03:54 04:32 19:39 20:17 21:0745 03:32 04:14 04:48 19:24 19:57 20:3940 03:53 04:30 05:00 19:11 19:41 20:1835 04:10 04:43 05:11 19:01 19:28 20:0230 04:24 04:54 05:20 18:52 19:17 19:4820 04:45 05:13 05:36 18:36 18:59 19:2710 05:02 05:28 05:50 18:22 18:44 19:100 05:16 05:41 06:03 18:10 18:31 18:56-10 05:28 05:53 06:15 17:57 18:19 18:44-20 05:39 06:06 06:29 17:44 18:07 18:33-30 05:50 06:19 06:44 17:29 17:54 18:23-35 05:56 06:26 06:53 17:20 17:47 18:17-40 06:01 06:34 07:03 17:10 17:39 18:11-45 06:08 06:43 07:14 16:59 17:30 18:05-50 06:14 06:53 07:28 16:45 17:20 17:59-52 06:17 06:58 07:35 16:38 17:15 17:56-54 06:20 07:03 07:42 16:31 17:10 17:53-56 06:24 07:09 07:50 16:23 17:04 17:50-58 06:27 07:15 07:59 16:14 16:58 17:46-60 06:31 07:22 08:10 16:04 16:51 17:42

Moonrise MoonsetLat. Mon Tue Wed Mon Tue Wed72 –:– –:– –:– –:– –:– –:–70 –:– –:– –:– –:– –:– –:–68 20:45 –:– –:– 17:57 –:– –:–66 21:32 21:01 –:– 17:11 19:20 –:–64 22:03 22:02 22:08 16:41 18:20 19:5962 22:26 22:37 22:59 16:18 17:46 19:0860 22:45 23:02 23:31 16:00 17:21 18:3658 23:00 23:22 23:54 15:45 17:02 18:1356 23:13 23:38 –:– 15:32 16:46 17:5454 23:25 23:52 –:– 15:21 16:32 17:3852 23:35 –:– 00:05 15:11 16:20 17:2450 23:44 –:– 00:16 15:03 16:09 17:1245 –:– 00:04 00:38 14:44 15:47 16:4740 –:– 00:20 00:57 14:29 15:29 16:2735 –:– 00:33 01:12 14:17 15:14 16:1130 00:09 00:45 01:26 14:06 15:01 15:5620 00:25 01:05 01:49 13:47 14:39 15:3210 00:40 01:23 02:09 13:30 14:20 15:110 00:53 01:39 02:28 13:15 14:02 14:52-10 01:07 01:56 02:46 13:00 13:45 14:32-20 01:22 02:14 03:07 12:44 13:26 14:11-30 01:39 02:34 03:30 12:25 13:04 13:47-35 01:49 02:46 03:44 12:15 12:51 13:33-40 02:00 03:00 03:60 12:02 12:36 13:17-45 02:14 03:17 04:19 11:48 12:19 12:57-50 02:30 03:38 04:43 11:30 11:58 12:33-52 02:38 03:47 04:54 11:22 11:47 12:21-54 02:47 03:59 05:07 11:13 11:36 12:08-56 02:56 04:11 05:23 11:02 11:23 11:52-58 03:08 04:26 05:41 10:51 11:08 11:34-60 03:21 04:43 06:03 10:37 10:50 11:11

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower2 06:17 06:15 12:06 07:04 19:27 23(32%)3 06:13 06:10 12:06 07:50 20:14 24(24%)4 06:08 06:05 12:06 08:39 21:04 25(16%)

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August 05, 06 ,07 (Thu., Fri., Sat.)Aries Venus Mars Jupiter Saturn

Thu GHA GHA Dec GHA Dec GHA Dec GHA Dec0 313◦45.9 145◦31.2 6◦20.1 157◦36.5 11◦05.2 342◦04.9 -12◦50.8 1◦07.1 -18◦29.91 328◦48.4 160◦31.0 6◦18.9 172◦37.5 11◦04.7 357◦07.7 -12◦50.9 16◦09.7 -18◦30.02 343◦50.8 175◦30.7 6◦17.6 187◦38.5 11◦04.1 12◦10.4 -12◦51.0 31◦12.4 -18◦30.03 358◦53.3 190◦30.4 6◦16.4 202◦39.5 11◦03.5 27◦13.2 -12◦51.1 46◦15.0 -18◦30.14 13◦55.7 205◦30.2 6◦15.1 217◦40.4 11◦02.9 42◦15.9 -12◦51.2 61◦17.7 -18◦30.15 28◦58.2 220◦29.9 6◦13.9 232◦41.4 11◦02.3 57◦18.7 -12◦51.4 76◦20.3 -18◦30.26 44◦00.7 235◦29.7 6◦12.7 247◦42.4 11◦01.7 72◦21.4 -12◦51.5 91◦23.0 -18◦30.37 59◦03.1 250◦29.4 6◦11.4 262◦43.4 11◦01.1 87◦24.2 -12◦51.6 106◦25.6 -18◦30.38 74◦05.6 265◦29.1 6◦10.2 277◦44.4 11◦00.6 102◦26.9 -12◦51.7 121◦28.3 -18◦30.49 89◦08.1 280◦28.9 6◦08.9 292◦45.3 10◦60.0 117◦29.7 -12◦51.8 136◦31.0 -18◦30.410 104◦10.5 295◦28.6 6◦07.7 307◦46.3 10◦59.4 132◦32.4 -12◦51.9 151◦33.6 -18◦30.511 119◦13.0 310◦28.4 6◦06.4 322◦47.3 10◦58.8 147◦35.2 -12◦52.0 166◦36.3 -18◦30.512 134◦15.5 325◦28.1 6◦05.2 337◦48.3 10◦58.2 162◦38.0 -12◦52.1 181◦38.9 -18◦30.613 149◦17.9 340◦27.9 6◦03.9 352◦49.2 10◦57.6 177◦40.7 -12◦52.3 196◦41.6 -18◦30.614 164◦20.4 355◦27.6 6◦02.7 7◦50.2 10◦57.0 192◦43.5 -12◦52.4 211◦44.2 -18◦30.715 179◦22.9 10◦27.3 6◦01.5 22◦51.2 10◦56.4 207◦46.2 -12◦52.5 226◦46.9 -18◦30.716 194◦25.3 25◦27.1 6◦00.2 37◦52.2 10◦55.9 222◦49.0 -12◦52.6 241◦49.5 -18◦30.817 209◦27.8 40◦26.8 5◦59.0 52◦53.1 10◦55.3 237◦51.7 -12◦52.7 256◦52.2 -18◦30.818 224◦30.2 55◦26.6 5◦57.7 67◦54.1 10◦54.7 252◦54.5 -12◦52.8 271◦54.8 -18◦30.919 239◦32.7 70◦26.3 5◦56.5 82◦55.1 10◦54.1 267◦57.2 -12◦52.9 286◦57.5 -18◦30.920 254◦35.2 85◦26.1 5◦55.2 97◦56.1 10◦53.5 282◦60.0 -12◦53.0 302◦00.1 -18◦31.021 269◦37.6 100◦25.8 5◦54.0 112◦57.0 10◦52.9 298◦02.7 -12◦53.2 317◦02.8 -18◦31.022 284◦40.1 115◦25.6 5◦52.7 127◦58.0 10◦52.3 313◦05.5 -12◦53.3 332◦05.4 -18◦31.123 299◦42.6 130◦25.3 5◦51.5 142◦59.0 10◦51.7 328◦08.2 -12◦53.4 347◦08.1 -18◦31.2Mer.pass.:3:04: v-0.3 d-1.2 m-3.9 v1.0 d-0.6 m1.8 v2.8 d-0.1 m-2.7 v2.7 d-0.1 m0.2

Fri GHA GHA Dec GHA Dec GHA Dec GHA Dec0 314◦45.0 145◦25.0 5◦50.2 157◦60.0 10◦51.2 343◦11.0 -12◦53.5 2◦10.7 -18◦31.21 329◦47.5 160◦24.8 5◦49.0 173◦01.0 10◦50.6 358◦13.7 -12◦53.6 17◦13.4 -18◦31.32 344◦50.0 175◦24.5 5◦47.7 188◦01.9 10◦50.0 13◦16.5 -12◦53.7 32◦16.0 -18◦31.33 359◦52.4 190◦24.3 5◦46.5 203◦02.9 10◦49.4 28◦19.3 -12◦53.8 47◦18.7 -18◦31.44 14◦54.9 205◦24.0 5◦45.2 218◦03.9 10◦48.8 43◦22.0 -12◦54.0 62◦21.3 -18◦31.45 29◦57.4 220◦23.8 5◦44.0 233◦04.9 10◦48.2 58◦24.8 -12◦54.1 77◦24.0 -18◦31.56 44◦59.8 235◦23.5 5◦42.7 248◦05.8 10◦47.6 73◦27.5 -12◦54.2 92◦26.6 -18◦31.57 60◦02.3 250◦23.3 5◦41.5 263◦06.8 10◦47.0 88◦30.3 -12◦54.3 107◦29.3 -18◦31.68 75◦04.7 265◦23.0 5◦40.2 278◦07.8 10◦46.4 103◦33.0 -12◦54.4 122◦31.9 -18◦31.69 90◦07.2 280◦22.8 5◦39.0 293◦08.8 10◦45.9 118◦35.8 -12◦54.5 137◦34.6 -18◦31.710 105◦09.7 295◦22.5 5◦37.7 308◦09.7 10◦45.3 133◦38.5 -12◦54.6 152◦37.2 -18◦31.711 120◦12.1 310◦22.3 5◦36.5 323◦10.7 10◦44.7 148◦41.3 -12◦54.7 167◦39.9 -18◦31.812 135◦14.6 325◦22.0 5◦35.2 338◦11.7 10◦44.1 163◦44.1 -12◦54.9 182◦42.5 -18◦31.813 150◦17.1 340◦21.8 5◦34.0 353◦12.7 10◦43.5 178◦46.8 -12◦55.0 197◦45.2 -18◦31.914 165◦19.5 355◦21.5 5◦32.7 8◦13.7 10◦42.9 193◦49.6 -12◦55.1 212◦47.8 -18◦32.015 180◦22.0 10◦21.3 5◦31.5 23◦14.6 10◦42.3 208◦52.3 -12◦55.2 227◦50.5 -18◦32.016 195◦24.5 25◦21.0 5◦30.2 38◦15.6 10◦41.7 223◦55.1 -12◦55.3 242◦53.1 -18◦32.117 210◦26.9 40◦20.8 5◦29.0 53◦16.6 10◦41.1 238◦57.8 -12◦55.4 257◦55.8 -18◦32.118 225◦29.4 55◦20.5 5◦27.7 68◦17.6 10◦40.5 254◦00.6 -12◦55.5 272◦58.5 -18◦32.219 240◦31.9 70◦20.3 5◦26.5 83◦18.5 10◦40.0 269◦03.3 -12◦55.7 288◦01.1 -18◦32.220 255◦34.3 85◦20.0 5◦25.2 98◦19.5 10◦39.4 284◦06.1 -12◦55.8 303◦03.8 -18◦32.321 270◦36.8 100◦19.8 5◦24.0 113◦20.5 10◦38.8 299◦08.9 -12◦55.9 318◦06.4 -18◦32.322 285◦39.2 115◦19.5 5◦22.7 128◦21.5 10◦38.2 314◦11.6 -12◦56.0 333◦09.1 -18◦32.423 300◦41.7 130◦19.3 5◦21.5 143◦22.5 10◦37.6 329◦14.4 -12◦56.1 348◦11.7 -18◦32.4Mer.pass.:3:00: v-0.3 d-1.2 m-3.9 v1.0 d-0.6 m1.8 v2.8 d-0.1 m-2.7 v2.7 d-0.1 m0.2

Sat GHA GHA Dec GHA Dec GHA Dec GHA Dec0 315◦44.2 145◦19.0 5◦20.2 158◦23.4 10◦37.0 344◦17.1 -12◦56.2 3◦14.4 -18◦32.51 330◦46.6 160◦18.8 5◦18.9 173◦24.4 10◦36.4 359◦19.9 -12◦56.3 18◦17.0 -18◦32.52 345◦49.1 175◦18.5 5◦17.7 188◦25.4 10◦35.8 14◦22.7 -12◦56.5 33◦19.7 -18◦32.63 0◦51.6 190◦18.3 5◦16.4 203◦26.4 10◦35.2 29◦25.4 -12◦56.6 48◦22.3 -18◦32.64 15◦54.0 205◦18.0 5◦15.2 218◦27.4 10◦34.6 44◦28.2 -12◦56.7 63◦25.0 -18◦32.75 30◦56.5 220◦17.8 5◦13.9 233◦28.3 10◦34.0 59◦30.9 -12◦56.8 78◦27.6 -18◦32.76 45◦59.0 235◦17.5 5◦12.7 248◦29.3 10◦33.4 74◦33.7 -12◦56.9 93◦30.3 -18◦32.87 61◦01.4 250◦17.3 5◦11.4 263◦30.3 10◦32.9 89◦36.4 -12◦57.0 108◦32.9 -18◦32.88 76◦03.9 265◦17.1 5◦10.2 278◦31.3 10◦32.3 104◦39.2 -12◦57.1 123◦35.6 -18◦32.99 91◦06.4 280◦16.8 5◦08.9 293◦32.2 10◦31.7 119◦42.0 -12◦57.3 138◦38.2 -18◦33.010 106◦08.8 295◦16.6 5◦07.6 308◦33.2 10◦31.1 134◦44.7 -12◦57.4 153◦40.9 -18◦33.011 121◦11.3 310◦16.3 5◦06.4 323◦34.2 10◦30.5 149◦47.5 -12◦57.5 168◦43.5 -18◦33.112 136◦13.7 325◦16.1 5◦05.1 338◦35.2 10◦29.9 164◦50.2 -12◦57.6 183◦46.2 -18◦33.113 151◦16.2 340◦15.8 5◦03.9 353◦36.2 10◦29.3 179◦53.0 -12◦57.7 198◦48.8 -18◦33.214 166◦18.7 355◦15.6 5◦02.6 8◦37.1 10◦28.7 194◦55.8 -12◦57.8 213◦51.5 -18◦33.215 181◦21.1 10◦15.4 5◦01.4 23◦38.1 10◦28.1 209◦58.5 -12◦57.9 228◦54.1 -18◦33.316 196◦23.6 25◦15.1 5◦00.1 38◦39.1 10◦27.5 225◦01.3 -12◦58.1 243◦56.8 -18◦33.317 211◦26.1 40◦14.9 4◦58.8 53◦40.1 10◦26.9 240◦04.0 -12◦58.2 258◦59.4 -18◦33.418 226◦28.5 55◦14.6 4◦57.6 68◦41.1 10◦26.3 255◦06.8 -12◦58.3 274◦02.1 -18◦33.419 241◦31.0 70◦14.4 4◦56.3 83◦42.0 10◦25.7 270◦09.6 -12◦58.4 289◦04.7 -18◦33.520 256◦33.5 85◦14.1 4◦55.1 98◦43.0 10◦25.1 285◦12.3 -12◦58.5 304◦07.4 -18◦33.521 271◦35.9 100◦13.9 4◦53.8 113◦44.0 10◦24.6 300◦15.1 -12◦58.6 319◦10.0 -18◦33.622 286◦38.4 115◦13.7 4◦52.5 128◦45.0 10◦24.0 315◦17.8 -12◦58.7 334◦12.7 -18◦33.623 301◦40.8 130◦13.4 4◦51.3 143◦46.0 10◦23.4 330◦20.6 -12◦58.9 349◦15.3 -18◦33.7Mer.pass.:2:56: v-0.2 d-1.3 m-3.9 v1.0 d-0.6 m1.8 v2.8 d-0.1 m-2.7 v2.7 d-0.1 m0.2

StarsSHA Dec

Alpheratz 357◦37.4 29◦12.5Ankaa 353◦09.7 -42◦11.2

Schedar 349◦33.8 56◦39.1Diphda 348◦49.8 -17◦52.0

Achernar 335◦22.2 -57◦07.4Hamal 327◦54.3 23◦33.7Polaris 315◦20.5 89◦20.9Akamar 315◦13.9 -40◦12.9Menkar 314◦09.1 4◦10.5Mirfak 308◦32.3 49◦56.0

Aldebaran 290◦43.0 16◦33.1Rigel 281◦06.7 -8◦10.5

Capella 280◦26.3 46◦01.0Bellatrix 278◦26.1 6◦22.2Elnath 278◦05.6 28◦37.4Alnilam 275◦40.8 -1◦11.2

Betelgeuse 270◦55.4 7◦24.7Canopus 263◦54.1 -52◦42.2

Sirius 258◦28.9 -16◦44.4Adara 255◦08.4 -28◦59.9

Procyon 244◦54.0 5◦10.4Pollux 243◦21.0 27◦58.5Avior 234◦16.5 -59◦34.6Suhail 222◦48.8 -43◦31.1

Miaplacidus 221◦39.7 -69◦48.3Alphard 217◦50.8 -8◦45.0Regulus 207◦37.7 11◦51.9Dubhe 193◦45.1 61◦38.4

Denebola 182◦28.0 14◦27.3Gienah 175◦46.6 -17◦39.6Acrux 173◦03.5 -63◦13.2

Gacrux 171◦55.0 -57◦14.1Alioth 166◦15.8 55◦50.9Spica 158◦25.3 -11◦16.3Alcaid 152◦54.4 49◦12.7Hadar 148◦40.0 -60◦28.7

Menkent 148◦01.0 -36◦28.6Arcturus 145◦50.4 19◦04.8

Rigil Kent. 139◦44.1 -60◦55.6Zubenelg. 136◦59.1 -16◦07.8Kochab 137◦19.9 74◦04.4

Alphecca 126◦06.1 26◦38.8Antares 112◦19.1 -26◦28.7

Atria 107◦15.5 -69◦04.1Sabik 102◦05.8 -15◦45.0

Shaula 96◦13.9 -37◦07.2Rasalhague 96◦00.9 12◦32.9

Etamin 90◦43.1 51◦29.4Kaus Aust. 83◦35.9 -34◦22.4

Vega 80◦34.8 38◦48.4Nunki 75◦50.9 -26◦16.1Altair 62◦02.4 8◦55.6

Peacock 53◦09.5 -56◦39.9Deneb 49◦27.2 45◦21.5

Enif 33◦41.2 9◦58.5Alnair 27◦36.0 -46◦51.3

Fomalhaut 15◦17.4 -29◦30.4Scheat 13◦47.6 28◦11.9Markab 13◦32.4 15◦19.2

2021/8/5 SHA Mer.passVenus 191◦45.3 14:18Mars 203◦50.7 13:29

Jupiter 28◦19.0 01:11Saturn 47◦21.2 23:51

2021/8/6 SHA Mer.passVenus 190◦40.0 14:19Mars 203◦14.9 13:27

Jupiter 28◦26.0 01:07Saturn 47◦25.7 23:47

2021/8/7 SHA Mer.passVenus 189◦34.9 14:19Mars 202◦39.3 13:26

Jupiter 28◦33.0 01:03Saturn 47◦30.2 23:43

Horizontal paralaxVenus: 0.1Mars: 0.1

146

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2021 August 05 to Aug. 07

h Sun MoonThu GHA Dec GHA ν Dec d HP0 178◦29.5 16◦58.0 222◦15.1 10.0 25◦22.8 2.2 54.81 193◦29.6 16◦57.3 236◦44.0 9.9 25◦24.9 2.0 54.82 208◦29.7 16◦56.6 251◦12.9 9.9 25◦26.9 1.9 54.83 223◦29.7 16◦55.9 265◦41.8 9.9 25◦28.7 1.8 54.84 238◦29.8 16◦55.2 280◦10.6 9.8 25◦30.5 1.7 54.85 253◦29.9 16◦54.6 294◦39.4 9.8 25◦32.1 1.5 54.86 268◦29.9 16◦53.9 309◦08.2 9.7 25◦33.5 1.4 54.97 283◦30.0 16◦53.2 323◦36.9 9.7 25◦34.9 1.3 54.98 298◦30.0 16◦52.5 338◦05.6 9.7 25◦36.1 1.1 54.99 313◦30.1 16◦51.8 352◦34.2 9.6 25◦37.2 1.0 54.910 328◦30.2 16◦51.2 7◦02.8 9.6 25◦38.1 0.9 54.911 343◦30.2 16◦50.5 21◦31.4 9.6 25◦38.9 0.8 54.912 358◦30.3 16◦49.8 35◦60.0 9.5 25◦39.6 0.6 55.013 13◦30.4 16◦49.1 50◦28.5 9.5 25◦40.2 0.5 55.014 28◦30.4 16◦48.4 64◦57.0 9.5 25◦40.6 0.4 55.015 43◦30.5 16◦47.8 79◦25.5 9.4 25◦40.9 0.2 55.016 58◦30.6 16◦47.1 93◦53.9 9.4 25◦41.1 0.1 55.017 73◦30.6 16◦46.4 108◦22.3 9.4 25◦41.1 -0.0 55.018 88◦30.7 16◦45.7 122◦50.7 9.4 25◦41.0 -0.2 55.119 103◦30.8 16◦45.0 137◦19.0 9.3 25◦40.8 -0.3 55.120 118◦30.8 16◦44.3 151◦47.4 9.3 25◦40.4 -0.4 55.121 133◦30.9 16◦43.6 166◦15.7 9.3 25◦39.9 -0.6 55.122 148◦31.0 16◦43.0 180◦44.0 9.3 25◦39.3 -0.7 55.123 163◦31.0 16◦42.3 195◦12.3 9.3 25◦38.6 -0.8 55.2

SD.=15.8 d=-0.7 S.D.=14.9

Fri GHA Dec GHA ν Dec d HP0 178◦31.1 16◦41.6 209◦40.5 9.2 25◦37.7 -1.0 55.21 193◦31.2 16◦40.9 224◦08.8 9.2 25◦36.6 -1.1 55.22 208◦31.2 16◦40.2 238◦37.0 9.2 25◦35.5 -1.2 55.23 223◦31.3 16◦39.5 253◦05.2 9.2 25◦34.2 -1.4 55.24 238◦31.4 16◦38.8 267◦33.4 9.2 25◦32.7 -1.5 55.35 253◦31.5 16◦38.1 282◦01.6 9.2 25◦31.2 -1.6 55.36 268◦31.5 16◦37.4 296◦29.7 9.2 25◦29.5 -1.8 55.37 283◦31.6 16◦36.8 310◦57.9 9.2 25◦27.6 -1.9 55.38 298◦31.7 16◦36.1 325◦26.0 9.1 25◦25.7 -2.0 55.39 313◦31.7 16◦35.4 339◦54.2 9.1 25◦23.6 -2.2 55.410 328◦31.8 16◦34.7 354◦22.3 9.1 25◦21.3 -2.3 55.411 343◦31.9 16◦34.0 8◦50.4 9.1 25◦18.9 -2.4 55.412 358◦31.9 16◦33.3 23◦18.6 9.1 25◦16.4 -2.6 55.413 13◦32.0 16◦32.6 37◦46.7 9.1 25◦13.8 -2.7 55.414 28◦32.1 16◦31.9 52◦14.8 9.1 25◦11.0 -2.8 55.515 43◦32.2 16◦31.2 66◦42.9 9.1 25◦08.1 -3.0 55.516 58◦32.2 16◦30.5 81◦11.0 9.1 25◦05.0 -3.1 55.517 73◦32.3 16◦29.8 95◦39.1 9.1 25◦01.9 -3.3 55.518 88◦32.4 16◦29.1 110◦07.3 9.1 24◦58.5 -3.4 55.519 103◦32.5 16◦28.4 124◦35.4 9.1 24◦55.1 -3.5 55.620 118◦32.5 16◦27.7 139◦03.5 9.1 24◦51.5 -3.7 55.621 133◦32.6 16◦27.0 153◦31.6 9.1 24◦47.8 -3.8 55.622 148◦32.7 16◦26.3 167◦59.8 9.1 24◦43.9 -3.9 55.623 163◦32.8 16◦25.6 182◦27.9 9.1 24◦39.9 -4.1 55.7

SD.=15.8 d=-0.7 S.D.=15.1

Sat GHA Dec GHA ν Dec d HP0 178◦32.8 16◦24.9 196◦56.1 9.2 24◦35.8 -4.2 55.71 193◦32.9 16◦24.2 211◦24.2 9.2 24◦31.6 -4.3 55.72 208◦33.0 16◦23.5 225◦52.4 9.2 24◦27.2 -4.5 55.73 223◦33.1 16◦22.8 240◦20.6 9.2 24◦22.6 -4.6 55.74 238◦33.1 16◦22.1 254◦48.8 9.2 24◦18.0 -4.7 55.85 253◦33.2 16◦21.4 269◦17.0 9.2 24◦13.2 -4.9 55.86 268◦33.3 16◦20.7 283◦45.2 9.2 24◦08.3 -5.0 55.87 283◦33.4 16◦20.0 298◦13.5 9.3 24◦03.2 -5.1 55.88 298◦33.4 16◦19.3 312◦41.7 9.3 23◦58.0 -5.2 55.99 313◦33.5 16◦18.6 327◦10.0 9.3 23◦52.7 -5.4 55.910 328◦33.6 16◦17.9 341◦38.3 9.3 23◦47.3 -5.5 55.911 343◦33.7 16◦17.2 356◦06.6 9.3 23◦41.7 -5.6 55.912 358◦33.7 16◦16.5 10◦35.0 9.3 23◦36.0 -5.8 55.913 13◦33.8 16◦15.8 25◦03.3 9.4 23◦30.2 -5.9 56.014 28◦33.9 16◦15.1 39◦31.7 9.4 23◦24.2 -6.0 56.015 43◦34.0 16◦14.4 54◦00.1 9.4 23◦18.1 -6.2 56.016 58◦34.1 16◦13.7 68◦28.5 9.4 23◦11.9 -6.3 56.017 73◦34.1 16◦13.0 82◦57.0 9.5 23◦05.5 -6.4 56.118 88◦34.2 16◦12.3 97◦25.5 9.5 22◦59.1 -6.5 56.119 103◦34.3 16◦11.6 111◦54.0 9.5 22◦52.5 -6.7 56.120 118◦34.4 16◦10.9 126◦22.5 9.5 22◦45.7 -6.8 56.121 133◦34.5 16◦10.2 140◦51.1 9.6 22◦38.9 -6.9 56.222 148◦34.5 16◦09.4 155◦19.7 9.6 22◦31.9 -7.0 56.223 163◦34.6 16◦08.7 169◦48.3 9.6 22◦24.8 -7.2 56.2

SD.=15.8 d=-0.7 S.D.=15.2

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 –:– –:– 01:01 22:58 –:– –:–70 –:– –:– 02:06 22:01 –:– –:–68 –:– –:– 02:41 21:28 –:– –:–66 –:– 01:25 03:05 21:04 22:40 –:–64 –:– 02:07 03:24 20:45 22:00 –:–62 –:– 02:35 03:40 20:30 21:34 –:–60 01:17 02:56 03:53 20:17 21:13 22:4958 01:55 03:13 04:04 20:06 20:57 22:1356 02:21 03:27 04:14 19:57 20:43 21:4854 02:40 03:39 04:22 19:48 20:31 21:2952 02:57 03:50 04:30 19:41 20:21 21:1350 03:10 03:59 04:37 19:34 20:12 21:0045 03:37 04:18 04:51 19:20 19:53 20:3440 03:57 04:33 05:03 19:08 19:38 20:1435 04:13 04:46 05:13 18:58 19:25 19:5830 04:26 04:56 05:22 18:49 19:15 19:4520 04:46 05:14 05:37 18:34 18:58 19:2510 05:03 05:28 05:50 18:21 18:43 19:090 05:16 05:41 06:02 18:09 18:31 18:56-10 05:27 05:53 06:14 17:57 18:19 18:45-20 05:38 06:04 06:27 17:45 18:08 18:34-30 05:48 06:17 06:42 17:31 17:56 18:24-35 05:53 06:23 06:50 17:22 17:49 18:19-40 05:58 06:31 06:59 17:13 17:41 18:14-45 06:04 06:39 07:10 17:02 17:33 18:08-50 06:10 06:49 07:23 16:49 17:24 18:02-52 06:13 06:53 07:30 16:43 17:19 17:60-54 06:15 06:58 07:36 16:36 17:15 17:57-56 06:18 07:03 07:44 16:28 17:09 17:54-58 06:22 07:09 07:53 16:20 17:04 17:51-60 06:25 07:15 08:02 16:10 16:57 17:48

Moonrise MoonsetLat. Thu Fri Sat Thu Fri Sat72 –:– –:– –:– –:– –:– –:–70 –:– –:– –:– –:– –:– –:–68 –:– –:– –:– –:– –:– –:–66 –:– –:– –:– –:– –:– 22:1064 22:45 –:– 00:17 21:10 21:28 21:3062 23:45 –:– 00:60 20:10 20:45 21:0260 –:– 00:19 01:29 19:36 20:16 20:4058 –:– 00:44 01:51 19:11 19:54 20:2256 00:14 01:04 02:08 18:51 19:36 20:0754 00:30 01:20 02:24 18:35 19:20 19:5452 00:44 01:34 02:37 18:20 19:07 19:4350 00:56 01:47 02:48 18:08 18:55 19:3345 01:21 02:12 03:12 17:42 18:31 19:1240 01:41 02:33 03:31 17:22 18:11 18:5535 01:58 02:50 03:47 17:05 17:55 18:4030 02:12 03:04 04:01 16:50 17:41 18:2720 02:37 03:29 04:24 16:25 17:17 18:0510 02:58 03:51 04:45 16:04 16:56 17:470 03:18 04:11 05:03 15:43 16:36 17:29-10 03:38 04:31 05:22 15:23 16:16 17:11-20 03:60 04:52 05:42 15:02 15:55 16:52-30 04:25 05:17 06:06 14:36 15:31 16:29-35 04:39 05:32 06:19 14:22 15:16 16:16-40 04:56 05:49 06:35 14:05 14:60 16:01-45 05:17 06:09 06:54 13:44 14:40 15:43-50 05:43 06:34 07:17 13:18 14:14 15:21-52 05:55 06:47 07:28 13:06 14:02 15:10-54 06:09 07:01 07:41 12:51 13:48 14:57-56 06:26 07:17 07:55 12:34 13:32 14:43-58 06:46 07:37 08:12 12:14 13:12 14:27-60 07:12 08:02 08:33 11:49 12:48 14:07

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower5 06:02 05:59 12:05 09:30 21:56 26(10%)6 05:56 05:52 12:05 10:23 22:49 27(5%)7 05:49 05:45 12:05 11:16 23:42 28(1%)

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August 08, 09 ,10 (Sun., Mon., Tue.)Aries Venus Mars Jupiter Saturn

Sun GHA GHA Dec GHA Dec GHA Dec GHA Dec0 316◦43.3 145◦13.2 4◦50.0 158◦46.9 10◦22.8 345◦23.4 -12◦59.0 4◦18.0 -18◦33.71 331◦45.8 160◦12.9 4◦48.8 173◦47.9 10◦22.2 0◦26.1 -12◦59.1 19◦20.6 -18◦33.82 346◦48.2 175◦12.7 4◦47.5 188◦48.9 10◦21.6 15◦28.9 -12◦59.2 34◦23.3 -18◦33.93 1◦50.7 190◦12.5 4◦46.2 203◦49.9 10◦21.0 30◦31.6 -12◦59.3 49◦25.9 -18◦33.94 16◦53.2 205◦12.2 4◦45.0 218◦50.8 10◦20.4 45◦34.4 -12◦59.4 64◦28.6 -18◦34.05 31◦55.6 220◦12.0 4◦43.7 233◦51.8 10◦19.8 60◦37.2 -12◦59.6 79◦31.2 -18◦34.06 46◦58.1 235◦11.7 4◦42.5 248◦52.8 10◦19.2 75◦39.9 -12◦59.7 94◦33.9 -18◦34.17 62◦00.6 250◦11.5 4◦41.2 263◦53.8 10◦18.6 90◦42.7 -12◦59.8 109◦36.5 -18◦34.18 77◦03.0 265◦11.3 4◦39.9 278◦54.8 10◦18.0 105◦45.4 -12◦59.9 124◦39.2 -18◦34.29 92◦05.5 280◦11.0 4◦38.7 293◦55.7 10◦17.4 120◦48.2 -13◦00.0 139◦41.8 -18◦34.210 107◦08.0 295◦10.8 4◦37.4 308◦56.7 10◦16.8 135◦51.0 -13◦00.1 154◦44.5 -18◦34.311 122◦10.4 310◦10.5 4◦36.2 323◦57.7 10◦16.2 150◦53.7 -13◦00.2 169◦47.1 -18◦34.312 137◦12.9 325◦10.3 4◦34.9 338◦58.7 10◦15.6 165◦56.5 -13◦00.4 184◦49.8 -18◦34.413 152◦15.3 340◦10.1 4◦33.6 353◦59.7 10◦15.0 180◦59.3 -13◦00.5 199◦52.4 -18◦34.414 167◦17.8 355◦09.8 4◦32.4 9◦00.7 10◦14.4 196◦02.0 -13◦00.6 214◦55.1 -18◦34.515 182◦20.3 10◦09.6 4◦31.1 24◦01.6 10◦13.8 211◦04.8 -13◦00.7 229◦57.7 -18◦34.516 197◦22.7 25◦09.4 4◦29.8 39◦02.6 10◦13.2 226◦07.5 -13◦00.8 245◦00.4 -18◦34.617 212◦25.2 40◦09.1 4◦28.6 54◦03.6 10◦12.7 241◦10.3 -13◦00.9 260◦03.0 -18◦34.618 227◦27.7 55◦08.9 4◦27.3 69◦04.6 10◦12.1 256◦13.1 -13◦01.1 275◦05.7 -18◦34.719 242◦30.1 70◦08.7 4◦26.1 84◦05.6 10◦11.5 271◦15.8 -13◦01.2 290◦08.3 -18◦34.720 257◦32.6 85◦08.4 4◦24.8 99◦06.5 10◦10.9 286◦18.6 -13◦01.3 305◦11.0 -18◦34.821 272◦35.1 100◦08.2 4◦23.5 114◦07.5 10◦10.3 301◦21.4 -13◦01.4 320◦13.6 -18◦34.822 287◦37.5 115◦07.9 4◦22.3 129◦08.5 10◦09.7 316◦24.1 -13◦01.5 335◦16.3 -18◦34.923 302◦40.0 130◦07.7 4◦21.0 144◦09.5 10◦09.1 331◦26.9 -13◦01.6 350◦18.9 -18◦35.0Mer.pass.:2:52: v-0.2 d-1.3 m-3.9 v1.0 d-0.6 m1.8 v2.8 d-0.1 m-2.7 v2.7 d-0.1 m0.2

Mon GHA GHA Dec GHA Dec GHA Dec GHA Dec0 317◦42.5 145◦07.5 4◦19.7 159◦10.5 10◦08.5 346◦29.6 -13◦01.7 5◦21.6 -18◦35.01 332◦44.9 160◦07.2 4◦18.5 174◦11.4 10◦07.9 1◦32.4 -13◦01.9 20◦24.2 -18◦35.12 347◦47.4 175◦07.0 4◦17.2 189◦12.4 10◦07.3 16◦35.2 -13◦02.0 35◦26.9 -18◦35.13 2◦49.8 190◦06.8 4◦15.9 204◦13.4 10◦06.7 31◦37.9 -13◦02.1 50◦29.5 -18◦35.24 17◦52.3 205◦06.5 4◦14.7 219◦14.4 10◦06.1 46◦40.7 -13◦02.2 65◦32.2 -18◦35.25 32◦54.8 220◦06.3 4◦13.4 234◦15.4 10◦05.5 61◦43.5 -13◦02.3 80◦34.8 -18◦35.36 47◦57.2 235◦06.1 4◦12.1 249◦16.3 10◦04.9 76◦46.2 -13◦02.4 95◦37.5 -18◦35.37 62◦59.7 250◦05.8 4◦10.9 264◦17.3 10◦04.3 91◦49.0 -13◦02.6 110◦40.1 -18◦35.48 78◦02.2 265◦05.6 4◦09.6 279◦18.3 10◦03.7 106◦51.8 -13◦02.7 125◦42.8 -18◦35.49 93◦04.6 280◦05.4 4◦08.3 294◦19.3 10◦03.1 121◦54.5 -13◦02.8 140◦45.4 -18◦35.510 108◦07.1 295◦05.1 4◦07.1 309◦20.3 10◦02.5 136◦57.3 -13◦02.9 155◦48.1 -18◦35.511 123◦09.6 310◦04.9 4◦05.8 324◦21.3 10◦01.9 152◦00.0 -13◦03.0 170◦50.7 -18◦35.612 138◦12.0 325◦04.7 4◦04.5 339◦22.2 10◦01.3 167◦02.8 -13◦03.1 185◦53.4 -18◦35.613 153◦14.5 340◦04.5 4◦03.3 354◦23.2 10◦00.7 182◦05.6 -13◦03.2 200◦56.0 -18◦35.714 168◦16.9 355◦04.2 4◦02.0 9◦24.2 10◦00.1 197◦08.3 -13◦03.4 215◦58.7 -18◦35.715 183◦19.4 10◦04.0 4◦00.7 24◦25.2 9◦59.5 212◦11.1 -13◦03.5 231◦01.3 -18◦35.816 198◦21.9 25◦03.8 3◦59.5 39◦26.2 9◦58.9 227◦13.9 -13◦03.6 246◦04.0 -18◦35.817 213◦24.3 40◦03.5 3◦58.2 54◦27.1 9◦58.3 242◦16.6 -13◦03.7 261◦06.6 -18◦35.918 228◦26.8 55◦03.3 3◦56.9 69◦28.1 9◦57.7 257◦19.4 -13◦03.8 276◦09.3 -18◦35.919 243◦29.3 70◦03.1 3◦55.7 84◦29.1 9◦57.1 272◦22.2 -13◦03.9 291◦11.9 -18◦36.020 258◦31.7 85◦02.8 3◦54.4 99◦30.1 9◦56.5 287◦24.9 -13◦04.1 306◦14.6 -18◦36.021 273◦34.2 100◦02.6 3◦53.1 114◦31.1 9◦55.9 302◦27.7 -13◦04.2 321◦17.2 -18◦36.122 288◦36.7 115◦02.4 3◦51.9 129◦32.0 9◦55.3 317◦30.5 -13◦04.3 336◦19.9 -18◦36.223 303◦39.1 130◦02.2 3◦50.6 144◦33.0 9◦54.7 332◦33.2 -13◦04.4 351◦22.5 -18◦36.2Mer.pass.:2:48: v-0.2 d-1.3 m-3.9 v1.0 d-0.6 m1.8 v2.8 d-0.1 m-2.7 v2.7 d-0.1 m0.2

Tue GHA GHA Dec GHA Dec GHA Dec GHA Dec0 318◦41.6 145◦01.9 3◦49.3 159◦34.0 9◦54.1 347◦36.0 -13◦04.5 6◦25.2 -18◦36.31 333◦44.1 160◦01.7 3◦48.0 174◦35.0 9◦53.5 2◦38.8 -13◦04.6 21◦27.8 -18◦36.32 348◦46.5 175◦01.5 3◦46.8 189◦36.0 9◦52.9 17◦41.5 -13◦04.8 36◦30.5 -18◦36.43 3◦49.0 190◦01.2 3◦45.5 204◦37.0 9◦52.3 32◦44.3 -13◦04.9 51◦33.1 -18◦36.44 18◦51.4 205◦01.0 3◦44.2 219◦37.9 9◦51.7 47◦47.1 -13◦05.0 66◦35.8 -18◦36.55 33◦53.9 220◦00.8 3◦43.0 234◦38.9 9◦51.1 62◦49.8 -13◦05.1 81◦38.4 -18◦36.56 48◦56.4 235◦00.6 3◦41.7 249◦39.9 9◦50.5 77◦52.6 -13◦05.2 96◦41.1 -18◦36.67 63◦58.8 250◦00.3 3◦40.4 264◦40.9 9◦49.9 92◦55.4 -13◦05.3 111◦43.7 -18◦36.68 79◦01.3 265◦00.1 3◦39.2 279◦41.9 9◦49.3 107◦58.1 -13◦05.5 126◦46.4 -18◦36.79 94◦03.8 279◦59.9 3◦37.9 294◦42.9 9◦48.7 123◦00.9 -13◦05.6 141◦49.0 -18◦36.710 109◦06.2 294◦59.7 3◦36.6 309◦43.8 9◦48.1 138◦03.7 -13◦05.7 156◦51.7 -18◦36.811 124◦08.7 309◦59.4 3◦35.3 324◦44.8 9◦47.5 153◦06.4 -13◦05.8 171◦54.3 -18◦36.812 139◦11.2 324◦59.2 3◦34.1 339◦45.8 9◦46.9 168◦09.2 -13◦05.9 186◦57.0 -18◦36.913 154◦13.6 339◦59.0 3◦32.8 354◦46.8 9◦46.3 183◦12.0 -13◦06.0 201◦59.6 -18◦36.914 169◦16.1 354◦58.8 3◦31.5 9◦47.8 9◦45.7 198◦14.7 -13◦06.2 217◦02.3 -18◦37.015 184◦18.6 9◦58.5 3◦30.3 24◦48.8 9◦45.1 213◦17.5 -13◦06.3 232◦04.9 -18◦37.016 199◦21.0 24◦58.3 3◦29.0 39◦49.7 9◦44.5 228◦20.3 -13◦06.4 247◦07.6 -18◦37.117 214◦23.5 39◦58.1 3◦27.7 54◦50.7 9◦43.9 243◦23.0 -13◦06.5 262◦10.2 -18◦37.118 229◦25.9 54◦57.9 3◦26.4 69◦51.7 9◦43.3 258◦25.8 -13◦06.6 277◦12.9 -18◦37.219 244◦28.4 69◦57.6 3◦25.2 84◦52.7 9◦42.7 273◦28.6 -13◦06.7 292◦15.5 -18◦37.220 259◦30.9 84◦57.4 3◦23.9 99◦53.7 9◦42.1 288◦31.3 -13◦06.9 307◦18.2 -18◦37.321 274◦33.3 99◦57.2 3◦22.6 114◦54.7 9◦41.5 303◦34.1 -13◦07.0 322◦20.8 -18◦37.322 289◦35.8 114◦57.0 3◦21.3 129◦55.6 9◦40.9 318◦36.9 -13◦07.1 337◦23.5 -18◦37.423 304◦38.3 129◦56.7 3◦20.1 144◦56.6 9◦40.3 333◦39.6 -13◦07.2 352◦26.1 -18◦37.4Mer.pass.:2:44: v-0.2 d-1.3 m-3.9 v1.0 d-0.6 m1.8 v2.8 d-0.1 m-2.7 v2.6 d-0.1 m0.2

StarsSHA Dec

Alpheratz 357◦37.4 29◦12.5Ankaa 353◦09.6 -42◦11.2

Schedar 349◦33.8 56◦39.1Diphda 348◦49.8 -17◦52.0

Achernar 335◦22.1 -57◦07.4Hamal 327◦54.3 23◦33.8Polaris 315◦19.0 89◦20.9Akamar 315◦13.9 -40◦12.9Menkar 314◦09.1 4◦10.5Mirfak 308◦32.3 49◦56.0

Aldebaran 290◦43.0 16◦33.1Rigel 281◦06.7 -8◦10.5

Capella 280◦26.3 46◦01.0Bellatrix 278◦26.0 6◦22.2Elnath 278◦05.6 28◦37.5Alnilam 275◦40.8 -1◦11.2

Betelgeuse 270◦55.3 7◦24.7Canopus 263◦54.0 -52◦42.2

Sirius 258◦28.9 -16◦44.4Adara 255◦08.4 -28◦59.9

Procyon 244◦54.0 5◦10.4Pollux 243◦21.0 27◦58.5Avior 234◦16.5 -59◦34.6Suhail 222◦48.8 -43◦31.1

Miaplacidus 221◦39.7 -69◦48.3Alphard 217◦50.8 -8◦45.0Regulus 207◦37.7 11◦51.9Dubhe 193◦45.1 61◦38.4

Denebola 182◦28.0 14◦27.3Gienah 175◦46.6 -17◦39.6Acrux 173◦03.6 -63◦13.2

Gacrux 171◦55.0 -57◦14.1Alioth 166◦15.8 55◦50.9Spica 158◦25.4 -11◦16.3Alcaid 152◦54.4 49◦12.7Hadar 148◦40.0 -60◦28.7

Menkent 148◦01.0 -36◦28.6Arcturus 145◦50.4 19◦04.8

Rigil Kent. 139◦44.1 -60◦55.6Zubenelg. 136◦59.1 -16◦07.8Kochab 137◦19.9 74◦04.4

Alphecca 126◦06.1 26◦38.8Antares 112◦19.1 -26◦28.7

Atria 107◦15.5 -69◦04.1Sabik 102◦05.8 -15◦45.0

Shaula 96◦13.9 -37◦07.2Rasalhague 96◦00.9 12◦32.9

Etamin 90◦43.1 51◦29.4Kaus Aust. 83◦35.9 -34◦22.4

Vega 80◦34.8 38◦48.4Nunki 75◦50.9 -26◦16.1Altair 62◦02.4 8◦55.6

Peacock 53◦09.5 -56◦39.9Deneb 49◦27.2 45◦21.5

Enif 33◦41.2 9◦58.5Alnair 27◦36.0 -46◦51.3

Fomalhaut 15◦17.3 -29◦30.4Scheat 13◦47.6 28◦11.9Markab 13◦32.4 15◦19.3

2021/8/8 SHA Mer.passVenus 188◦29.9 14:19Mars 202◦03.6 13:24

Jupiter 28◦40.0 00:58Saturn 47◦34.7 23:39

2021/8/9 SHA Mer.passVenus 187◦25.0 14:20Mars 201◦28.0 13:22

Jupiter 28◦47.2 00:54Saturn 47◦39.1 23:34

2021/8/1 SHA Mer.passVenus 186◦20.3 14:20Mars 200◦52.4 13:21

Jupiter 28◦54.4 00:49Saturn 47◦43.6 23:30

Horizontal paralaxVenus: 0.1Mars: 0.1

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2021 August 08 to Aug. 10

h Sun MoonSun GHA Dec GHA ν Dec d HP0 178◦34.7 16◦08.0 184◦16.9 9.7 22◦17.6 -7.3 56.21 193◦34.8 16◦07.3 198◦45.6 9.7 22◦10.2 -7.4 56.22 208◦34.9 16◦06.6 213◦14.3 9.7 22◦02.8 -7.5 56.33 223◦34.9 16◦05.9 227◦43.1 9.8 21◦55.2 -7.7 56.34 238◦35.0 16◦05.2 242◦11.8 9.8 21◦47.5 -7.8 56.35 253◦35.1 16◦04.5 256◦40.6 9.8 21◦39.6 -7.9 56.36 268◦35.2 16◦03.8 271◦09.5 9.9 21◦31.7 -8.0 56.47 283◦35.3 16◦03.0 285◦38.4 9.9 21◦23.6 -8.1 56.48 298◦35.3 16◦02.3 300◦07.3 9.9 21◦15.4 -8.3 56.49 313◦35.4 16◦01.6 314◦36.2 10.0 21◦07.1 -8.4 56.410 328◦35.5 16◦00.9 329◦05.2 10.0 20◦58.7 -8.5 56.511 343◦35.6 16◦00.2 343◦34.2 10.0 20◦50.1 -8.6 56.512 358◦35.7 15◦59.5 358◦03.3 10.1 20◦41.5 -8.7 56.513 13◦35.8 15◦58.8 12◦32.3 10.1 20◦32.7 -8.8 56.514 28◦35.8 15◦58.0 27◦01.5 10.1 20◦23.8 -8.9 56.515 43◦35.9 15◦57.3 41◦30.6 10.2 20◦14.8 -9.1 56.616 58◦36.0 15◦56.6 55◦59.8 10.2 20◦05.7 -9.2 56.617 73◦36.1 15◦55.9 70◦29.1 10.3 19◦56.5 -9.3 56.618 88◦36.2 15◦55.2 84◦58.4 10.3 19◦47.1 -9.4 56.619 103◦36.3 15◦54.5 99◦27.7 10.3 19◦37.7 -9.5 56.720 118◦36.4 15◦53.7 113◦57.0 10.4 19◦28.1 -9.6 56.721 133◦36.4 15◦53.0 128◦26.4 10.4 19◦18.5 -9.7 56.722 148◦36.5 15◦52.3 142◦55.9 10.5 19◦08.7 -9.8 56.723 163◦36.6 15◦51.6 157◦25.3 10.5 18◦58.8 -9.9 56.7

SD.=15.8 d=-0.7 S.D.=15.3

Mon GHA Dec GHA ν Dec d HP0 178◦36.7 15◦50.9 171◦54.9 10.5 18◦48.8 -10.0 56.81 193◦36.8 15◦50.1 186◦24.4 10.6 18◦38.7 -10.1 56.82 208◦36.9 15◦49.4 200◦54.0 10.6 18◦28.6 -10.2 56.83 223◦37.0 15◦48.7 215◦23.6 10.7 18◦18.3 -10.3 56.84 238◦37.1 15◦48.0 229◦53.3 10.7 18◦07.9 -10.4 56.95 253◦37.1 15◦47.2 244◦23.0 10.7 17◦57.4 -10.5 56.96 268◦37.2 15◦46.5 258◦52.8 10.8 17◦46.8 -10.6 56.97 283◦37.3 15◦45.8 273◦22.6 10.8 17◦36.1 -10.7 56.98 298◦37.4 15◦45.1 287◦52.4 10.9 17◦25.3 -10.8 57.09 313◦37.5 15◦44.3 302◦22.3 10.9 17◦14.4 -10.9 57.010 328◦37.6 15◦43.6 316◦52.2 10.9 17◦03.4 -11.0 57.011 343◦37.7 15◦42.9 331◦22.1 11.0 16◦52.3 -11.1 57.012 358◦37.8 15◦42.2 345◦52.1 11.0 16◦41.2 -11.2 57.013 13◦37.9 15◦41.4 0◦22.2 11.1 16◦29.9 -11.3 57.114 28◦37.9 15◦40.7 14◦52.2 11.1 16◦18.5 -11.4 57.115 43◦38.0 15◦40.0 29◦22.4 11.1 16◦07.1 -11.5 57.116 58◦38.1 15◦39.3 43◦52.5 11.2 15◦55.6 -11.6 57.117 73◦38.2 15◦38.5 58◦22.7 11.2 15◦43.9 -11.7 57.118 88◦38.3 15◦37.8 72◦52.9 11.2 15◦32.2 -11.8 57.219 103◦38.4 15◦37.1 87◦23.2 11.3 15◦20.4 -11.8 57.220 118◦38.5 15◦36.3 101◦53.5 11.3 15◦08.5 -11.9 57.221 133◦38.6 15◦35.6 116◦23.8 11.4 14◦56.5 -12.0 57.222 148◦38.7 15◦34.9 130◦54.2 11.4 14◦44.5 -12.1 57.323 163◦38.8 15◦34.2 145◦24.6 11.4 14◦32.3 -12.2 57.3

SD.=15.8 d=-0.7 S.D.=15.5

Tue GHA Dec GHA ν Dec d HP0 178◦38.9 15◦33.4 159◦55.1 11.5 14◦20.1 -12.3 57.31 193◦39.0 15◦32.7 174◦25.6 11.5 14◦07.8 -12.3 57.32 208◦39.0 15◦32.0 188◦56.1 11.5 13◦55.4 -12.4 57.33 223◦39.1 15◦31.2 203◦26.6 11.6 13◦43.0 -12.5 57.44 238◦39.2 15◦30.5 217◦57.2 11.6 13◦30.4 -12.6 57.45 253◦39.3 15◦29.8 232◦27.9 11.6 13◦17.8 -12.7 57.46 268◦39.4 15◦29.0 246◦58.5 11.7 13◦05.1 -12.7 57.47 283◦39.5 15◦28.3 261◦29.2 11.7 12◦52.4 -12.8 57.48 298◦39.6 15◦27.6 275◦59.9 11.7 12◦39.5 -12.9 57.59 313◦39.7 15◦26.8 290◦30.7 11.8 12◦26.6 -12.9 57.510 328◦39.8 15◦26.1 305◦01.5 11.8 12◦13.7 -13.0 57.511 343◦39.9 15◦25.4 319◦32.3 11.8 12◦00.6 -13.1 57.512 358◦40.0 15◦24.6 334◦03.2 11.9 11◦47.5 -13.1 57.613 13◦40.1 15◦23.9 348◦34.0 11.9 11◦34.3 -13.2 57.614 28◦40.2 15◦23.1 3◦05.0 11.9 11◦21.1 -13.3 57.615 43◦40.3 15◦22.4 17◦35.9 12.0 11◦07.8 -13.3 57.616 58◦40.4 15◦21.7 32◦06.9 12.0 10◦54.4 -13.4 57.617 73◦40.5 15◦20.9 46◦37.9 12.0 10◦41.0 -13.5 57.718 88◦40.6 15◦20.2 61◦08.9 12.0 10◦27.5 -13.5 57.719 103◦40.7 15◦19.5 75◦39.9 12.1 10◦13.9 -13.6 57.720 118◦40.8 15◦18.7 90◦11.0 12.1 10◦00.3 -13.6 57.721 133◦40.9 15◦18.0 104◦42.1 12.1 9◦46.6 -13.7 57.722 148◦41.0 15◦17.2 119◦13.2 12.1 9◦32.9 -13.8 57.823 163◦41.1 15◦16.5 133◦44.4 12.2 9◦19.1 -13.8 57.8

SD.=15.8 d=-0.7 S.D.=15.6

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 –:– –:– 01:37 22:25 –:– –:–70 –:– –:– 02:24 21:42 –:– –:–68 –:– 00:34 02:54 21:13 23:18 –:–66 –:– 01:47 03:16 20:52 22:18 –:–64 –:– 02:22 03:34 20:35 21:45 –:–62 00:31 02:46 03:48 20:21 21:22 23:2460 01:36 03:05 04:00 20:09 21:03 22:3058 02:08 03:21 04:11 19:59 20:48 21:6056 02:31 03:34 04:20 19:50 20:35 21:3854 02:49 03:45 04:27 19:42 20:24 21:2052 03:03 03:55 04:35 19:35 20:14 21:0650 03:16 04:04 04:41 19:29 20:06 20:5345 03:41 04:22 04:55 19:15 19:48 20:2840 04:00 04:36 05:06 19:04 19:34 20:1035 04:16 04:48 05:16 18:55 19:22 19:5530 04:28 04:58 05:24 18:47 19:12 19:4220 04:48 05:15 05:38 18:32 18:56 19:2310 05:03 05:29 05:51 18:20 18:42 19:080 05:16 05:41 06:02 18:09 18:30 18:55-10 05:26 05:52 06:13 17:58 18:19 18:45-20 05:36 06:03 06:25 17:46 18:09 18:35-30 05:46 06:14 06:39 17:32 17:57 18:26-35 05:50 06:20 06:47 17:25 17:51 18:21-40 05:55 06:27 06:56 17:16 17:44 18:16-45 06:00 06:35 07:06 17:05 17:36 18:11-50 06:06 06:44 07:18 16:53 17:28 18:06-52 06:08 06:48 07:24 16:47 17:23 18:04-54 06:10 06:53 07:31 16:41 17:19 18:01-56 06:13 06:57 07:38 16:34 17:14 17:59-58 06:16 07:03 07:46 16:26 17:09 17:56-60 06:19 07:09 07:55 16:17 17:03 17:53

Moonrise MoonsetLat. Sun Mon Tue Sun Mon Tue72 –:– –:– 04:22 –:– –:– 22:0670 –:– 02:15 04:49 23:09 22:19 21:5268 –:– 03:01 05:09 22:22 21:57 21:4066 01:25 03:31 05:25 21:51 21:40 21:3164 02:05 03:53 05:38 21:28 21:26 21:2362 02:32 04:10 05:49 21:10 21:14 21:1660 02:53 04:25 05:58 20:54 21:03 21:1058 03:11 04:37 06:06 20:41 20:54 21:0456 03:25 04:48 06:13 20:30 20:46 20:5954 03:38 04:57 06:19 20:20 20:39 20:5552 03:48 05:06 06:25 20:11 20:33 20:5150 03:58 05:13 06:30 20:03 20:27 20:4845 04:19 05:29 06:41 19:46 20:15 20:4040 04:35 05:42 06:50 19:32 20:04 20:3335 04:49 05:53 06:58 19:20 19:55 20:2830 05:01 06:03 07:05 19:09 19:47 20:2320 05:21 06:19 07:16 18:51 19:34 20:1410 05:39 06:33 07:26 18:35 19:22 20:060 05:56 06:47 07:36 18:20 19:10 19:59-10 06:12 06:60 07:45 18:05 18:59 19:51-20 06:30 07:14 07:55 17:49 18:46 19:43-30 06:50 07:30 08:07 17:30 18:32 19:34-35 07:02 07:39 08:13 17:19 18:24 19:29-40 07:15 07:50 08:21 17:07 18:14 19:23-45 07:31 08:02 08:29 16:52 18:03 19:16-50 07:51 08:17 08:40 16:33 17:50 19:07-52 07:60 08:25 08:44 16:25 17:43 19:03-54 08:10 08:32 08:50 16:15 17:36 18:59-56 08:22 08:41 08:55 16:04 17:28 18:54-58 08:35 08:51 09:02 15:51 17:19 18:48-60 08:51 09:02 09:09 15:36 17:09 18:42

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower8 05:41 05:37 12:05 12:08 00:33 29(0%)9 05:33 05:29 12:05 12:58 00:33 1(1%)10 05:25 05:20 12:05 13:47 01:23 2(4%)

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August 11, 12 ,13 (Wed., Thu., Fri.)Aries Venus Mars Jupiter Saturn

Wed GHA GHA Dec GHA Dec GHA Dec GHA Dec0 319◦40.7 144◦56.5 3◦18.8 159◦57.6 9◦39.7 348◦42.4 -13◦07.3 7◦28.8 -18◦37.51 334◦43.2 159◦56.3 3◦17.5 174◦58.6 9◦39.1 3◦45.2 -13◦07.4 22◦31.4 -18◦37.62 349◦45.7 174◦56.1 3◦16.3 189◦59.6 9◦38.5 18◦47.9 -13◦07.6 37◦34.1 -18◦37.63 4◦48.1 189◦55.8 3◦15.0 205◦00.6 9◦37.9 33◦50.7 -13◦07.7 52◦36.7 -18◦37.74 19◦50.6 204◦55.6 3◦13.7 220◦01.5 9◦37.3 48◦53.5 -13◦07.8 67◦39.4 -18◦37.75 34◦53.0 219◦55.4 3◦12.4 235◦02.5 9◦36.7 63◦56.3 -13◦07.9 82◦42.0 -18◦37.86 49◦55.5 234◦55.2 3◦11.2 250◦03.5 9◦36.1 78◦59.0 -13◦08.0 97◦44.7 -18◦37.87 64◦58.0 249◦55.0 3◦09.9 265◦04.5 9◦35.5 94◦01.8 -13◦08.1 112◦47.3 -18◦37.98 80◦00.4 264◦54.7 3◦08.6 280◦05.5 9◦34.9 109◦04.6 -13◦08.3 127◦50.0 -18◦37.99 95◦02.9 279◦54.5 3◦07.3 295◦06.5 9◦34.3 124◦07.3 -13◦08.4 142◦52.6 -18◦38.010 110◦05.4 294◦54.3 3◦06.1 310◦07.4 9◦33.7 139◦10.1 -13◦08.5 157◦55.3 -18◦38.011 125◦07.8 309◦54.1 3◦04.8 325◦08.4 9◦33.1 154◦12.9 -13◦08.6 172◦57.9 -18◦38.112 140◦10.3 324◦53.9 3◦03.5 340◦09.4 9◦32.5 169◦15.6 -13◦08.7 188◦00.6 -18◦38.113 155◦12.8 339◦53.6 3◦02.2 355◦10.4 9◦31.9 184◦18.4 -13◦08.8 203◦03.2 -18◦38.214 170◦15.2 354◦53.4 3◦01.0 10◦11.4 9◦31.2 199◦21.2 -13◦09.0 218◦05.9 -18◦38.215 185◦17.7 9◦53.2 2◦59.7 25◦12.4 9◦30.6 214◦23.9 -13◦09.1 233◦08.5 -18◦38.316 200◦20.2 24◦53.0 2◦58.4 40◦13.3 9◦30.0 229◦26.7 -13◦09.2 248◦11.2 -18◦38.317 215◦22.6 39◦52.8 2◦57.1 55◦14.3 9◦29.4 244◦29.5 -13◦09.3 263◦13.8 -18◦38.418 230◦25.1 54◦52.5 2◦55.9 70◦15.3 9◦28.8 259◦32.3 -13◦09.4 278◦16.4 -18◦38.419 245◦27.5 69◦52.3 2◦54.6 85◦16.3 9◦28.2 274◦35.0 -13◦09.5 293◦19.1 -18◦38.520 260◦30.0 84◦52.1 2◦53.3 100◦17.3 9◦27.6 289◦37.8 -13◦09.7 308◦21.7 -18◦38.521 275◦32.5 99◦51.9 2◦52.0 115◦18.3 9◦27.0 304◦40.6 -13◦09.8 323◦24.4 -18◦38.622 290◦34.9 114◦51.7 2◦50.7 130◦19.2 9◦26.4 319◦43.3 -13◦09.9 338◦27.0 -18◦38.623 305◦37.4 129◦51.4 2◦49.5 145◦20.2 9◦25.8 334◦46.1 -13◦10.0 353◦29.7 -18◦38.7Mer.pass.:2:40: v-0.2 d-1.3 m-3.9 v1.0 d-0.6 m1.8 v2.8 d-0.1 m-2.7 v2.6 d-0.1 m0.2

Thu GHA GHA Dec GHA Dec GHA Dec GHA Dec0 320◦39.9 144◦51.2 2◦48.2 160◦21.2 9◦25.2 349◦48.9 -13◦10.1 8◦32.3 -18◦38.71 335◦42.3 159◦51.0 2◦46.9 175◦22.2 9◦24.6 4◦51.6 -13◦10.2 23◦35.0 -18◦38.82 350◦44.8 174◦50.8 2◦45.6 190◦23.2 9◦24.0 19◦54.4 -13◦10.4 38◦37.6 -18◦38.83 5◦47.3 189◦50.6 2◦44.4 205◦24.2 9◦23.4 34◦57.2 -13◦10.5 53◦40.3 -18◦38.94 20◦49.7 204◦50.4 2◦43.1 220◦25.2 9◦22.8 49◦60.0 -13◦10.6 68◦42.9 -18◦38.95 35◦52.2 219◦50.1 2◦41.8 235◦26.1 9◦22.2 65◦02.7 -13◦10.7 83◦45.6 -18◦39.06 50◦54.6 234◦49.9 2◦40.5 250◦27.1 9◦21.6 80◦05.5 -13◦10.8 98◦48.2 -18◦39.07 65◦57.1 249◦49.7 2◦39.2 265◦28.1 9◦21.0 95◦08.3 -13◦10.9 113◦50.9 -18◦39.18 80◦59.6 264◦49.5 2◦38.0 280◦29.1 9◦20.4 110◦11.0 -13◦11.1 128◦53.5 -18◦39.19 96◦02.0 279◦49.3 2◦36.7 295◦30.1 9◦19.8 125◦13.8 -13◦11.2 143◦56.2 -18◦39.210 111◦04.5 294◦49.1 2◦35.4 310◦31.1 9◦19.1 140◦16.6 -13◦11.3 158◦58.8 -18◦39.211 126◦07.0 309◦48.8 2◦34.1 325◦32.0 9◦18.5 155◦19.4 -13◦11.4 174◦01.5 -18◦39.312 141◦09.4 324◦48.6 2◦32.9 340◦33.0 9◦17.9 170◦22.1 -13◦11.5 189◦04.1 -18◦39.413 156◦11.9 339◦48.4 2◦31.6 355◦34.0 9◦17.3 185◦24.9 -13◦11.6 204◦06.8 -18◦39.414 171◦14.4 354◦48.2 2◦30.3 10◦35.0 9◦16.7 200◦27.7 -13◦11.8 219◦09.4 -18◦39.515 186◦16.8 9◦48.0 2◦29.0 25◦36.0 9◦16.1 215◦30.4 -13◦11.9 234◦12.1 -18◦39.516 201◦19.3 24◦47.8 2◦27.7 40◦37.0 9◦15.5 230◦33.2 -13◦12.0 249◦14.7 -18◦39.617 216◦21.8 39◦47.6 2◦26.5 55◦38.0 9◦14.9 245◦36.0 -13◦12.1 264◦17.3 -18◦39.618 231◦24.2 54◦47.3 2◦25.2 70◦38.9 9◦14.3 260◦38.8 -13◦12.2 279◦20.0 -18◦39.719 246◦26.7 69◦47.1 2◦23.9 85◦39.9 9◦13.7 275◦41.5 -13◦12.3 294◦22.6 -18◦39.720 261◦29.1 84◦46.9 2◦22.6 100◦40.9 9◦13.1 290◦44.3 -13◦12.5 309◦25.3 -18◦39.821 276◦31.6 99◦46.7 2◦21.3 115◦41.9 9◦12.5 305◦47.1 -13◦12.6 324◦27.9 -18◦39.822 291◦34.1 114◦46.5 2◦20.1 130◦42.9 9◦11.9 320◦49.8 -13◦12.7 339◦30.6 -18◦39.923 306◦36.5 129◦46.3 2◦18.8 145◦43.9 9◦11.3 335◦52.6 -13◦12.8 354◦33.2 -18◦39.9Mer.pass.:2:36: v-0.2 d-1.3 m-3.9 v1.0 d-0.6 m1.8 v2.8 d-0.1 m-2.7 v2.6 d-0.1 m0.2

Fri GHA GHA Dec GHA Dec GHA Dec GHA Dec0 321◦39.0 144◦46.1 2◦17.5 160◦44.9 9◦10.7 350◦55.4 -13◦12.9 9◦35.9 -18◦40.01 336◦41.5 159◦45.9 2◦16.2 175◦45.8 9◦10.0 5◦58.2 -13◦13.1 24◦38.5 -18◦40.02 351◦43.9 174◦45.6 2◦14.9 190◦46.8 9◦09.4 21◦00.9 -13◦13.2 39◦41.2 -18◦40.13 6◦46.4 189◦45.4 2◦13.7 205◦47.8 9◦08.8 36◦03.7 -13◦13.3 54◦43.8 -18◦40.14 21◦48.9 204◦45.2 2◦12.4 220◦48.8 9◦08.2 51◦06.5 -13◦13.4 69◦46.5 -18◦40.25 36◦51.3 219◦45.0 2◦11.1 235◦49.8 9◦07.6 66◦09.3 -13◦13.5 84◦49.1 -18◦40.26 51◦53.8 234◦44.8 2◦09.8 250◦50.8 9◦07.0 81◦12.0 -13◦13.6 99◦51.8 -18◦40.37 66◦56.3 249◦44.6 2◦08.5 265◦51.8 9◦06.4 96◦14.8 -13◦13.8 114◦54.4 -18◦40.38 81◦58.7 264◦44.4 2◦07.3 280◦52.7 9◦05.8 111◦17.6 -13◦13.9 129◦57.1 -18◦40.49 97◦01.2 279◦44.2 2◦06.0 295◦53.7 9◦05.2 126◦20.3 -13◦14.0 144◦59.7 -18◦40.410 112◦03.6 294◦43.9 2◦04.7 310◦54.7 9◦04.6 141◦23.1 -13◦14.1 160◦02.3 -18◦40.511 127◦06.1 309◦43.7 2◦03.4 325◦55.7 9◦04.0 156◦25.9 -13◦14.2 175◦05.0 -18◦40.512 142◦08.6 324◦43.5 2◦02.1 340◦56.7 9◦03.4 171◦28.7 -13◦14.3 190◦07.6 -18◦40.613 157◦11.0 339◦43.3 2◦00.8 355◦57.7 9◦02.7 186◦31.4 -13◦14.5 205◦10.3 -18◦40.614 172◦13.5 354◦43.1 1◦59.6 10◦58.7 9◦02.1 201◦34.2 -13◦14.6 220◦12.9 -18◦40.715 187◦16.0 9◦42.9 1◦58.3 25◦59.7 9◦01.5 216◦37.0 -13◦14.7 235◦15.6 -18◦40.716 202◦18.4 24◦42.7 1◦57.0 41◦00.6 9◦00.9 231◦39.8 -13◦14.8 250◦18.2 -18◦40.817 217◦20.9 39◦42.5 1◦55.7 56◦01.6 9◦00.3 246◦42.5 -13◦14.9 265◦20.9 -18◦40.818 232◦23.4 54◦42.3 1◦54.4 71◦02.6 8◦59.7 261◦45.3 -13◦15.0 280◦23.5 -18◦40.919 247◦25.8 69◦42.1 1◦53.2 86◦03.6 8◦59.1 276◦48.1 -13◦15.2 295◦26.2 -18◦40.920 262◦28.3 84◦41.8 1◦51.9 101◦04.6 8◦58.5 291◦50.9 -13◦15.3 310◦28.8 -18◦41.021 277◦30.7 99◦41.6 1◦50.6 116◦05.6 8◦57.9 306◦53.6 -13◦15.4 325◦31.5 -18◦41.022 292◦33.2 114◦41.4 1◦49.3 131◦06.6 8◦57.3 321◦56.4 -13◦15.5 340◦34.1 -18◦41.123 307◦35.7 129◦41.2 1◦48.0 146◦07.5 8◦56.7 336◦59.2 -13◦15.6 355◦36.8 -18◦41.1Mer.pass.:2:32: v-0.2 d-1.3 m-3.9 v1.0 d-0.6 m1.8 v2.8 d-0.1 m-2.7 v2.6 d-0.1 m0.2

StarsSHA Dec

Alpheratz 357◦37.4 29◦12.5Ankaa 353◦09.6 -42◦11.2

Schedar 349◦33.8 56◦39.1Diphda 348◦49.8 -17◦52.0

Achernar 335◦22.1 -57◦07.4Hamal 327◦54.2 23◦33.8Polaris 315◦17.6 89◦20.9Akamar 315◦13.9 -40◦12.9Menkar 314◦09.0 4◦10.5Mirfak 308◦32.2 49◦56.0

Aldebaran 290◦42.9 16◦33.1Rigel 281◦06.7 -8◦10.5

Capella 280◦26.2 46◦01.0Bellatrix 278◦26.0 6◦22.2Elnath 278◦05.6 28◦37.5Alnilam 275◦40.7 -1◦11.2

Betelgeuse 270◦55.3 7◦24.7Canopus 263◦54.0 -52◦42.2

Sirius 258◦28.9 -16◦44.4Adara 255◦08.3 -28◦59.9

Procyon 244◦54.0 5◦10.4Pollux 243◦21.0 27◦58.5Avior 234◦16.5 -59◦34.5Suhail 222◦48.8 -43◦31.0

Miaplacidus 221◦39.7 -69◦48.2Alphard 217◦50.8 -8◦45.0Regulus 207◦37.7 11◦51.9Dubhe 193◦45.1 61◦38.3

Denebola 182◦28.0 14◦27.3Gienah 175◦46.6 -17◦39.6Acrux 173◦03.6 -63◦13.2

Gacrux 171◦55.1 -57◦14.1Alioth 166◦15.9 55◦50.9Spica 158◦25.4 -11◦16.3Alcaid 152◦54.4 49◦12.7Hadar 148◦40.1 -60◦28.7

Menkent 148◦01.0 -36◦28.6Arcturus 145◦50.4 19◦04.8

Rigil Kent. 139◦44.2 -60◦55.6Zubenelg. 136◦59.1 -16◦07.8Kochab 137◦20.0 74◦04.4

Alphecca 126◦06.1 26◦38.8Antares 112◦19.1 -26◦28.8

Atria 107◦15.6 -69◦04.1Sabik 102◦05.8 -15◦45.0

Shaula 96◦13.9 -37◦07.2Rasalhague 96◦00.9 12◦32.9

Etamin 90◦43.1 51◦29.4Kaus Aust. 83◦35.9 -34◦22.4

Vega 80◦34.8 38◦48.4Nunki 75◦50.9 -26◦16.1Altair 62◦02.4 8◦55.6

Peacock 53◦09.5 -56◦39.9Deneb 49◦27.2 45◦21.5

Enif 33◦41.2 9◦58.5Alnair 27◦36.0 -46◦51.3

Fomalhaut 15◦17.3 -29◦30.4Scheat 13◦47.6 28◦11.9Markab 13◦32.4 15◦19.3

2021/8/1 SHA Mer.passVenus 185◦15.8 14:20Mars 200◦16.9 13:19

Jupiter 29◦01.7 00:45Saturn 47◦48.0 23:26

2021/8/1 SHA Mer.passVenus 184◦11.4 14:21Mars 199◦41.4 13:18

Jupiter 29◦09.0 00:41Saturn 47◦52.5 23:22

2021/8/1 SHA Mer.passVenus 183◦07.1 14:21Mars 199◦05.9 13:16

Jupiter 29◦16.4 00:36Saturn 47◦56.9 23:17

Horizontal paralaxVenus: 0.1Mars: 0.1

150

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2021 August 11 to Aug. 13

h Sun MoonWed GHA Dec GHA ν Dec d HP0 178◦41.2 15◦15.8 148◦15.5 12.2 9◦05.2 -13.9 57.81 193◦41.3 15◦15.0 162◦46.7 12.2 8◦51.4 -13.9 57.82 208◦41.4 15◦14.3 177◦17.9 12.2 8◦37.4 -14.0 57.83 223◦41.5 15◦13.5 191◦49.2 12.2 8◦23.4 -14.0 57.84 238◦41.6 15◦12.8 206◦20.4 12.3 8◦09.4 -14.1 57.95 253◦41.7 15◦12.0 220◦51.7 12.3 7◦55.3 -14.1 57.96 268◦41.8 15◦11.3 235◦23.0 12.3 7◦41.1 -14.2 57.97 283◦41.9 15◦10.6 249◦54.3 12.3 7◦26.9 -14.2 57.98 298◦42.0 15◦09.8 264◦25.6 12.3 7◦12.7 -14.3 57.99 313◦42.1 15◦09.1 278◦56.9 12.3 6◦58.4 -14.3 58.010 328◦42.2 15◦08.3 293◦28.3 12.4 6◦44.1 -14.3 58.011 343◦42.3 15◦07.6 307◦59.6 12.4 6◦29.7 -14.4 58.012 358◦42.4 15◦06.8 322◦31.0 12.4 6◦15.3 -14.4 58.013 13◦42.5 15◦06.1 337◦02.4 12.4 6◦00.9 -14.5 58.014 28◦42.6 15◦05.3 351◦33.8 12.4 5◦46.4 -14.5 58.015 43◦42.7 15◦04.6 6◦05.2 12.4 5◦31.9 -14.5 58.116 58◦42.8 15◦03.8 20◦36.6 12.4 5◦17.4 -14.6 58.117 73◦42.9 15◦03.1 35◦08.0 12.4 5◦02.8 -14.6 58.118 88◦43.0 15◦02.3 49◦39.5 12.4 4◦48.2 -14.6 58.119 103◦43.1 15◦01.6 64◦10.9 12.4 4◦33.5 -14.7 58.120 118◦43.2 15◦00.8 78◦42.3 12.4 4◦18.9 -14.7 58.221 133◦43.3 15◦00.1 93◦13.8 12.4 4◦04.1 -14.7 58.222 148◦43.4 14◦59.3 107◦45.2 12.4 3◦49.4 -14.7 58.223 163◦43.5 14◦58.6 122◦16.7 12.5 3◦34.7 -14.8 58.2

SD.=15.8 d=-0.7 S.D.=15.8

Thu GHA Dec GHA ν Dec d HP0 178◦43.6 14◦57.8 136◦48.1 12.5 3◦19.9 -14.8 58.21 193◦43.7 14◦57.1 151◦19.6 12.5 3◦05.1 -14.8 58.22 208◦43.8 14◦56.3 165◦51.0 12.4 2◦50.2 -14.8 58.33 223◦43.9 14◦55.6 180◦22.5 12.4 2◦35.4 -14.9 58.34 238◦44.0 14◦54.8 194◦53.9 12.4 2◦20.5 -14.9 58.35 253◦44.1 14◦54.1 209◦25.4 12.4 2◦05.6 -14.9 58.36 268◦44.2 14◦53.3 223◦56.8 12.4 1◦50.7 -14.9 58.37 283◦44.3 14◦52.6 238◦28.2 12.4 1◦35.8 -14.9 58.38 298◦44.5 14◦51.8 252◦59.7 12.4 1◦20.8 -14.9 58.49 313◦44.6 14◦51.1 267◦31.1 12.4 1◦05.9 -15.0 58.410 328◦44.7 14◦50.3 282◦02.5 12.4 0◦50.9 -15.0 58.411 343◦44.8 14◦49.5 296◦33.9 12.4 0◦35.9 -15.0 58.412 358◦44.9 14◦48.8 311◦05.3 12.4 0◦21.0 -15.0 58.413 13◦45.0 14◦48.0 325◦36.6 12.4 0◦06.0 -15.0 58.414 28◦45.1 14◦47.3 340◦08.0 12.4 -0◦09.0 -15.0 58.415 43◦45.2 14◦46.5 354◦39.3 12.3 -0◦24.1 -15.0 58.516 58◦45.3 14◦45.8 9◦10.7 12.3 -0◦39.1 -15.0 58.517 73◦45.4 14◦45.0 23◦42.0 12.3 -0◦54.1 -15.0 58.518 88◦45.5 14◦44.2 38◦13.3 12.3 -1◦09.1 -15.0 58.519 103◦45.6 14◦43.5 52◦44.5 12.3 -1◦24.1 -15.0 58.520 118◦45.8 14◦42.7 67◦15.8 12.2 -1◦39.2 -15.0 58.521 133◦45.9 14◦42.0 81◦47.0 12.2 -1◦54.2 -15.0 58.622 148◦46.0 14◦41.2 96◦18.2 12.2 -2◦09.2 -15.0 58.623 163◦46.1 14◦40.4 110◦49.4 12.2 -2◦24.2 -15.0 58.6

SD.=15.8 d=-0.8 S.D.=15.9

Fri GHA Dec GHA ν Dec d HP0 178◦46.2 14◦39.7 125◦20.6 12.2 -2◦39.2 -15.0 58.61 193◦46.3 14◦38.9 139◦51.7 12.1 -2◦54.2 -15.0 58.62 208◦46.4 14◦38.2 154◦22.8 12.1 -3◦09.2 -15.0 58.63 223◦46.5 14◦37.4 168◦53.9 12.1 -3◦24.2 -15.0 58.64 238◦46.6 14◦36.6 183◦25.0 12.0 -3◦39.2 -15.0 58.65 253◦46.8 14◦35.9 197◦56.0 12.0 -3◦54.1 -15.0 58.76 268◦46.9 14◦35.1 212◦27.0 12.0 -4◦09.1 -14.9 58.77 283◦47.0 14◦34.3 226◦58.0 11.9 -4◦24.0 -14.9 58.78 298◦47.1 14◦33.6 241◦28.9 11.9 -4◦38.9 -14.9 58.79 313◦47.2 14◦32.8 255◦59.8 11.9 -4◦53.8 -14.9 58.710 328◦47.3 14◦32.0 270◦30.6 11.8 -5◦08.7 -14.9 58.711 343◦47.4 14◦31.3 285◦01.5 11.8 -5◦23.6 -14.9 58.712 358◦47.5 14◦30.5 299◦32.2 11.8 -5◦38.4 -14.8 58.813 13◦47.7 14◦29.7 314◦03.0 11.7 -5◦53.2 -14.8 58.814 28◦47.8 14◦29.0 328◦33.7 11.7 -6◦08.0 -14.8 58.815 43◦47.9 14◦28.2 343◦04.4 11.6 -6◦22.8 -14.8 58.816 58◦48.0 14◦27.4 357◦35.0 11.6 -6◦37.5 -14.7 58.817 73◦48.1 14◦26.7 12◦05.6 11.6 -6◦52.3 -14.7 58.818 88◦48.2 14◦25.9 26◦36.1 11.5 -7◦06.9 -14.7 58.819 103◦48.4 14◦25.1 41◦06.6 11.5 -7◦21.6 -14.6 58.820 118◦48.5 14◦24.4 55◦37.0 11.4 -7◦36.2 -14.6 58.921 133◦48.6 14◦23.6 70◦07.4 11.4 -7◦50.8 -14.6 58.922 148◦48.7 14◦22.8 84◦37.8 11.3 -8◦05.3 -14.5 58.923 163◦48.8 14◦22.1 99◦08.1 11.3 -8◦19.9 -14.5 58.9

SD.=15.8 d=-0.8 S.D.=16.0

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 –:– –:– 02:03 21:60 –:– –:–70 –:– –:– 02:41 21:24 –:– –:–68 –:– 01:18 03:07 20:59 22:43 –:–66 –:– 02:06 03:27 20:40 21:60 –:–64 –:– 02:35 03:43 20:25 21:31 –:–62 01:10 02:57 03:56 20:12 21:10 22:5260 01:52 03:14 04:07 20:01 20:53 22:1358 02:20 03:29 04:17 19:52 20:39 21:4756 02:40 03:41 04:25 19:43 20:27 21:2754 02:57 03:51 04:33 19:36 20:17 21:1152 03:10 04:01 04:39 19:29 20:08 20:5850 03:22 04:09 04:45 19:24 19:60 20:4645 03:46 04:26 04:58 19:11 19:43 20:2340 04:04 04:40 05:09 19:01 19:30 20:0535 04:18 04:51 05:18 18:52 19:19 19:5130 04:30 05:00 05:26 18:44 19:09 19:3920 04:49 05:16 05:39 18:31 18:54 19:2110 05:04 05:29 05:51 18:19 18:41 19:060 05:15 05:40 06:02 18:08 18:30 18:55-10 05:26 05:51 06:12 17:58 18:19 18:45-20 05:35 06:01 06:24 17:47 18:09 18:36-30 05:43 06:12 06:36 17:34 17:59 18:27-35 05:48 06:17 06:44 17:27 17:53 18:23-40 05:52 06:24 06:52 17:19 17:47 18:19-45 05:56 06:31 07:02 17:09 17:40 18:14-50 06:01 06:39 07:13 16:57 17:31 18:10-52 06:03 06:43 07:19 16:52 17:28 18:08-54 06:05 06:47 07:25 16:46 17:24 18:06-56 06:07 06:51 07:31 16:40 17:20 18:04-58 06:10 06:56 07:39 16:32 17:15 18:01-60 06:12 07:02 07:47 16:24 17:09 17:59

Moonrise MoonsetLat. Wed Thu Fri Wed Thu Fri72 06:46 08:58 11:10 21:35 21:07 20:3870 06:58 08:59 11:02 21:30 21:10 20:4968 07:07 09:01 10:55 21:26 21:12 20:5866 07:14 09:02 10:50 21:22 21:14 21:0664 07:21 09:02 10:45 21:19 21:16 21:1262 07:26 09:03 10:41 21:17 21:17 21:1860 07:31 09:04 10:37 21:14 21:19 21:2358 07:35 09:04 10:34 21:12 21:20 21:2856 07:39 09:05 10:31 21:10 21:21 21:3254 07:42 09:05 10:29 21:09 21:22 21:3552 07:45 09:05 10:27 21:07 21:22 21:3850 07:48 09:06 10:25 21:06 21:23 21:4145 07:54 09:07 10:20 21:03 21:25 21:4840 07:59 09:07 10:17 21:00 21:26 21:5335 08:03 09:08 10:14 20:58 21:27 21:5830 08:06 09:08 10:11 20:56 21:28 22:0220 08:13 09:09 10:06 20:52 21:30 22:0910 08:18 09:10 10:02 20:49 21:32 22:160 08:24 09:11 09:58 20:46 21:33 22:22-10 08:29 09:12 09:55 20:43 21:35 22:28-20 08:34 09:12 09:51 20:40 21:36 22:34-30 08:41 09:13 09:46 20:36 21:38 22:41-35 08:44 09:14 09:44 20:34 21:39 22:46-40 08:48 09:15 09:41 20:31 21:40 22:50-45 08:53 09:15 09:38 20:28 21:42 22:56-50 08:59 09:16 09:34 20:25 21:43 23:03-52 09:01 09:17 09:32 20:23 21:44 23:06-54 09:04 09:17 09:30 20:22 21:45 23:09-56 09:07 09:18 09:28 20:20 21:46 23:13-58 09:10 09:18 09:26 20:17 21:47 23:18-60 09:14 09:19 09:23 20:15 21:48 23:22

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower11 05:15 05:10 12:05 14:34 02:11 3(10%)12 05:06 05:00 12:05 15:22 02:58 4(17%)13 04:55 04:50 12:04 16:10 03:45 5(27%)

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August 14, 15 ,16 (Sat., Sun., Mon.)Aries Venus Mars Jupiter Saturn

Sat GHA GHA Dec GHA Dec GHA Dec GHA Dec0 322◦38.1 144◦41.0 1◦46.7 161◦08.5 8◦56.0 352◦02.0 -13◦15.8 10◦39.4 -18◦41.21 337◦40.6 159◦40.8 1◦45.5 176◦09.5 8◦55.4 7◦04.7 -13◦15.9 25◦42.0 -18◦41.22 352◦43.1 174◦40.6 1◦44.2 191◦10.5 8◦54.8 22◦07.5 -13◦16.0 40◦44.7 -18◦41.33 7◦45.5 189◦40.4 1◦42.9 206◦11.5 8◦54.2 37◦10.3 -13◦16.1 55◦47.3 -18◦41.34 22◦48.0 204◦40.2 1◦41.6 221◦12.5 8◦53.6 52◦13.0 -13◦16.2 70◦50.0 -18◦41.45 37◦50.5 219◦40.0 1◦40.3 236◦13.5 8◦53.0 67◦15.8 -13◦16.3 85◦52.6 -18◦41.46 52◦52.9 234◦39.8 1◦39.0 251◦14.5 8◦52.4 82◦18.6 -13◦16.5 100◦55.3 -18◦41.57 67◦55.4 249◦39.6 1◦37.8 266◦15.4 8◦51.8 97◦21.4 -13◦16.6 115◦57.9 -18◦41.58 82◦57.9 264◦39.4 1◦36.5 281◦16.4 8◦51.2 112◦24.1 -13◦16.7 131◦00.6 -18◦41.69 98◦00.3 279◦39.1 1◦35.2 296◦17.4 8◦50.5 127◦26.9 -13◦16.8 146◦03.2 -18◦41.610 113◦02.8 294◦38.9 1◦33.9 311◦18.4 8◦49.9 142◦29.7 -13◦16.9 161◦05.9 -18◦41.711 128◦05.2 309◦38.7 1◦32.6 326◦19.4 8◦49.3 157◦32.5 -13◦17.0 176◦08.5 -18◦41.712 143◦07.7 324◦38.5 1◦31.3 341◦20.4 8◦48.7 172◦35.2 -13◦17.2 191◦11.1 -18◦41.813 158◦10.2 339◦38.3 1◦30.0 356◦21.4 8◦48.1 187◦38.0 -13◦17.3 206◦13.8 -18◦41.814 173◦12.6 354◦38.1 1◦28.8 11◦22.4 8◦47.5 202◦40.8 -13◦17.4 221◦16.4 -18◦41.915 188◦15.1 9◦37.9 1◦27.5 26◦23.3 8◦46.9 217◦43.6 -13◦17.5 236◦19.1 -18◦41.916 203◦17.6 24◦37.7 1◦26.2 41◦24.3 8◦46.3 232◦46.3 -13◦17.6 251◦21.7 -18◦42.017 218◦20.0 39◦37.5 1◦24.9 56◦25.3 8◦45.7 247◦49.1 -13◦17.8 266◦24.4 -18◦42.018 233◦22.5 54◦37.3 1◦23.6 71◦26.3 8◦45.0 262◦51.9 -13◦17.9 281◦27.0 -18◦42.119 248◦25.0 69◦37.1 1◦22.3 86◦27.3 8◦44.4 277◦54.7 -13◦18.0 296◦29.7 -18◦42.120 263◦27.4 84◦36.9 1◦21.1 101◦28.3 8◦43.8 292◦57.4 -13◦18.1 311◦32.3 -18◦42.221 278◦29.9 99◦36.7 1◦19.8 116◦29.3 8◦43.2 308◦00.2 -13◦18.2 326◦35.0 -18◦42.222 293◦32.3 114◦36.5 1◦18.5 131◦30.3 8◦42.6 323◦03.0 -13◦18.3 341◦37.6 -18◦42.323 308◦34.8 129◦36.3 1◦17.2 146◦31.2 8◦42.0 338◦05.8 -13◦18.5 356◦40.2 -18◦42.3Mer.pass.:2:29: v-0.2 d-1.3 m-3.9 v1.0 d-0.6 m1.8 v2.8 d-0.1 m-2.7 v2.6 d-0.1 m0.2

Sun GHA GHA Dec GHA Dec GHA Dec GHA Dec0 323◦37.3 144◦36.1 1◦15.9 161◦32.2 8◦41.4 353◦08.5 -13◦18.6 11◦42.9 -18◦42.41 338◦39.7 159◦35.9 1◦14.6 176◦33.2 8◦40.8 8◦11.3 -13◦18.7 26◦45.5 -18◦42.42 353◦42.2 174◦35.7 1◦13.3 191◦34.2 8◦40.1 23◦14.1 -13◦18.8 41◦48.2 -18◦42.53 8◦44.7 189◦35.5 1◦12.1 206◦35.2 8◦39.5 38◦16.9 -13◦18.9 56◦50.8 -18◦42.54 23◦47.1 204◦35.2 1◦10.8 221◦36.2 8◦38.9 53◦19.7 -13◦19.0 71◦53.5 -18◦42.65 38◦49.6 219◦35.0 1◦09.5 236◦37.2 8◦38.3 68◦22.4 -13◦19.2 86◦56.1 -18◦42.66 53◦52.1 234◦34.8 1◦08.2 251◦38.2 8◦37.7 83◦25.2 -13◦19.3 101◦58.8 -18◦42.77 68◦54.5 249◦34.6 1◦06.9 266◦39.1 8◦37.1 98◦28.0 -13◦19.4 117◦01.4 -18◦42.78 83◦57.0 264◦34.4 1◦05.6 281◦40.1 8◦36.5 113◦30.8 -13◦19.5 132◦04.0 -18◦42.89 98◦59.5 279◦34.2 1◦04.3 296◦41.1 8◦35.9 128◦33.5 -13◦19.6 147◦06.7 -18◦42.810 114◦01.9 294◦34.0 1◦03.1 311◦42.1 8◦35.2 143◦36.3 -13◦19.7 162◦09.3 -18◦42.911 129◦04.4 309◦33.8 1◦01.8 326◦43.1 8◦34.6 158◦39.1 -13◦19.9 177◦12.0 -18◦42.912 144◦06.8 324◦33.6 1◦00.5 341◦44.1 8◦34.0 173◦41.9 -13◦20.0 192◦14.6 -18◦43.013 159◦09.3 339◦33.4 0◦59.2 356◦45.1 8◦33.4 188◦44.6 -13◦20.1 207◦17.3 -18◦43.014 174◦11.8 354◦33.2 0◦57.9 11◦46.1 8◦32.8 203◦47.4 -13◦20.2 222◦19.9 -18◦43.115 189◦14.2 9◦33.0 0◦56.6 26◦47.1 8◦32.2 218◦50.2 -13◦20.3 237◦22.6 -18◦43.116 204◦16.7 24◦32.8 0◦55.3 41◦48.0 8◦31.6 233◦53.0 -13◦20.5 252◦25.2 -18◦43.217 219◦19.2 39◦32.6 0◦54.1 56◦49.0 8◦30.9 248◦55.7 -13◦20.6 267◦27.8 -18◦43.218 234◦21.6 54◦32.4 0◦52.8 71◦50.0 8◦30.3 263◦58.5 -13◦20.7 282◦30.5 -18◦43.319 249◦24.1 69◦32.2 0◦51.5 86◦51.0 8◦29.7 279◦01.3 -13◦20.8 297◦33.1 -18◦43.320 264◦26.6 84◦32.0 0◦50.2 101◦52.0 8◦29.1 294◦04.1 -13◦20.9 312◦35.8 -18◦43.421 279◦29.0 99◦31.8 0◦48.9 116◦53.0 8◦28.5 309◦06.8 -13◦21.0 327◦38.4 -18◦43.422 294◦31.5 114◦31.6 0◦47.6 131◦54.0 8◦27.9 324◦09.6 -13◦21.2 342◦41.1 -18◦43.523 309◦34.0 129◦31.4 0◦46.3 146◦55.0 8◦27.3 339◦12.4 -13◦21.3 357◦43.7 -18◦43.5Mer.pass.:2:25: v-0.2 d-1.3 m-3.9 v1.0 d-0.6 m1.8 v2.8 d-0.1 m-2.7 v2.6 d-0.0 m0.2

Mon GHA GHA Dec GHA Dec GHA Dec GHA Dec0 324◦36.4 144◦31.2 0◦45.0 161◦56.0 8◦26.6 354◦15.2 -13◦21.4 12◦46.4 -18◦43.61 339◦38.9 159◦31.0 0◦43.8 176◦56.9 8◦26.0 9◦18.0 -13◦21.5 27◦49.0 -18◦43.62 354◦41.3 174◦30.8 0◦42.5 191◦57.9 8◦25.4 24◦20.7 -13◦21.6 42◦51.6 -18◦43.73 9◦43.8 189◦30.6 0◦41.2 206◦58.9 8◦24.8 39◦23.5 -13◦21.7 57◦54.3 -18◦43.74 24◦46.3 204◦30.4 0◦39.9 221◦59.9 8◦24.2 54◦26.3 -13◦21.9 72◦56.9 -18◦43.85 39◦48.7 219◦30.2 0◦38.6 237◦00.9 8◦23.6 69◦29.1 -13◦22.0 87◦59.6 -18◦43.86 54◦51.2 234◦30.0 0◦37.3 252◦01.9 8◦23.0 84◦31.8 -13◦22.1 103◦02.2 -18◦43.97 69◦53.7 249◦29.8 0◦36.0 267◦02.9 8◦22.3 99◦34.6 -13◦22.2 118◦04.9 -18◦43.98 84◦56.1 264◦29.6 0◦34.8 282◦03.9 8◦21.7 114◦37.4 -13◦22.3 133◦07.5 -18◦44.09 99◦58.6 279◦29.4 0◦33.5 297◦04.9 8◦21.1 129◦40.2 -13◦22.5 148◦10.1 -18◦44.010 115◦01.1 294◦29.2 0◦32.2 312◦05.8 8◦20.5 144◦42.9 -13◦22.6 163◦12.8 -18◦44.111 130◦03.5 309◦29.0 0◦30.9 327◦06.8 8◦19.9 159◦45.7 -13◦22.7 178◦15.4 -18◦44.112 145◦06.0 324◦28.8 0◦29.6 342◦07.8 8◦19.3 174◦48.5 -13◦22.8 193◦18.1 -18◦44.213 160◦08.5 339◦28.6 0◦28.3 357◦08.8 8◦18.6 189◦51.3 -13◦22.9 208◦20.7 -18◦44.214 175◦10.9 354◦28.4 0◦27.0 12◦09.8 8◦18.0 204◦54.1 -13◦23.0 223◦23.4 -18◦44.315 190◦13.4 9◦28.2 0◦25.7 27◦10.8 8◦17.4 219◦56.8 -13◦23.2 238◦26.0 -18◦44.316 205◦15.8 24◦28.0 0◦24.5 42◦11.8 8◦16.8 234◦59.6 -13◦23.3 253◦28.6 -18◦44.417 220◦18.3 39◦27.8 0◦23.2 57◦12.8 8◦16.2 250◦02.4 -13◦23.4 268◦31.3 -18◦44.418 235◦20.8 54◦27.6 0◦21.9 72◦13.8 8◦15.6 265◦05.2 -13◦23.5 283◦33.9 -18◦44.519 250◦23.2 69◦27.4 0◦20.6 87◦14.7 8◦14.9 280◦07.9 -13◦23.6 298◦36.6 -18◦44.520 265◦25.7 84◦27.2 0◦19.3 102◦15.7 8◦14.3 295◦10.7 -13◦23.7 313◦39.2 -18◦44.621 280◦28.2 99◦27.0 0◦18.0 117◦16.7 8◦13.7 310◦13.5 -13◦23.9 328◦41.9 -18◦44.622 295◦30.6 114◦26.8 0◦16.7 132◦17.7 8◦13.1 325◦16.3 -13◦24.0 343◦44.5 -18◦44.723 310◦33.1 129◦26.6 0◦15.4 147◦18.7 8◦12.5 340◦19.1 -13◦24.1 358◦47.1 -18◦44.7Mer.pass.:2:21: v-0.2 d-1.3 m-3.9 v1.0 d-0.6 m1.8 v2.8 d-0.1 m-2.7 v2.6 d-0.0 m0.2

StarsSHA Dec

Alpheratz 357◦37.4 29◦12.5Ankaa 353◦09.6 -42◦11.2

Schedar 349◦33.8 56◦39.1Diphda 348◦49.8 -17◦52.0

Achernar 335◦22.1 -57◦07.4Hamal 327◦54.2 23◦33.8Polaris 315◦16.1 89◦20.9Akamar 315◦13.9 -40◦12.9Menkar 314◦09.0 4◦10.5Mirfak 308◦32.2 49◦56.0

Aldebaran 290◦42.9 16◦33.1Rigel 281◦06.7 -8◦10.5

Capella 280◦26.2 46◦01.0Bellatrix 278◦26.0 6◦22.2Elnath 278◦05.6 28◦37.5Alnilam 275◦40.7 -1◦11.2

Betelgeuse 270◦55.3 7◦24.7Canopus 263◦54.0 -52◦42.2

Sirius 258◦28.8 -16◦44.4Adara 255◦08.3 -28◦59.9

Procyon 244◦53.9 5◦10.4Pollux 243◦20.9 27◦58.5Avior 234◦16.4 -59◦34.5Suhail 222◦48.8 -43◦31.0

Miaplacidus 221◦39.7 -69◦48.2Alphard 217◦50.8 -8◦45.0Regulus 207◦37.7 11◦51.9Dubhe 193◦45.1 61◦38.3

Denebola 182◦28.0 14◦27.3Gienah 175◦46.6 -17◦39.6Acrux 173◦03.6 -63◦13.2

Gacrux 171◦55.1 -57◦14.1Alioth 166◦15.9 55◦50.9Spica 158◦25.4 -11◦16.3Alcaid 152◦54.4 49◦12.7Hadar 148◦40.1 -60◦28.7

Menkent 148◦01.0 -36◦28.6Arcturus 145◦50.4 19◦04.8

Rigil Kent. 139◦44.2 -60◦55.6Zubenelg. 136◦59.1 -16◦07.8Kochab 137◦20.0 74◦04.4

Alphecca 126◦06.1 26◦38.9Antares 112◦19.1 -26◦28.7

Atria 107◦15.6 -69◦04.1Sabik 102◦05.8 -15◦45.0

Shaula 96◦13.9 -37◦07.2Rasalhague 96◦01.0 12◦32.9

Etamin 90◦43.1 51◦29.4Kaus Aust. 83◦35.9 -34◦22.4

Vega 80◦34.8 38◦48.4Nunki 75◦50.9 -26◦16.1Altair 62◦02.4 8◦55.6

Peacock 53◦09.5 -56◦39.9Deneb 49◦27.2 45◦21.5

Enif 33◦41.2 9◦58.5Alnair 27◦36.0 -46◦51.3

Fomalhaut 15◦17.3 -29◦30.4Scheat 13◦47.6 28◦11.9Markab 13◦32.4 15◦19.3

2021/8/1 SHA Mer.passVenus 182◦02.9 14:21Mars 198◦30.4 13:15

Jupiter 29◦23.8 00:32Saturn 48◦01.3 23:13

2021/8/1 SHA Mer.passVenus 180◦58.8 14:22Mars 197◦55.0 13:13

Jupiter 29◦31.3 00:27Saturn 48◦05.6 23:09

2021/8/1 SHA Mer.passVenus 179◦54.8 14:22Mars 197◦19.5 13:11

Jupiter 29◦38.8 00:23Saturn 48◦09.9 23:05

Horizontal paralaxVenus: 0.1Mars: 0.1

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2021 August 14 to Aug. 16

h Sun MoonSat GHA Dec GHA ν Dec d HP0 178◦48.9 14◦21.3 113◦38.3 11.2 -8◦34.3 -14.5 58.91 193◦49.0 14◦20.5 128◦08.5 11.2 -8◦48.8 -14.4 58.92 208◦49.2 14◦19.7 142◦38.6 11.1 -9◦03.2 -14.4 58.93 223◦49.3 14◦19.0 157◦08.7 11.1 -9◦17.5 -14.3 58.94 238◦49.4 14◦18.2 171◦38.8 11.0 -9◦31.8 -14.3 58.95 253◦49.5 14◦17.4 186◦08.7 10.9 -9◦46.1 -14.2 59.06 268◦49.6 14◦16.7 200◦38.7 10.9 -10◦00.3 -14.2 59.07 283◦49.8 14◦15.9 215◦08.5 10.8 -10◦14.5 -14.1 59.08 298◦49.9 14◦15.1 229◦38.3 10.8 -10◦28.6 -14.1 59.09 313◦50.0 14◦14.3 244◦08.1 10.7 -10◦42.7 -14.0 59.010 328◦50.1 14◦13.6 258◦37.7 10.7 -10◦56.7 -14.0 59.011 343◦50.2 14◦12.8 273◦07.4 10.6 -11◦10.6 -13.9 59.012 358◦50.3 14◦12.0 287◦36.9 10.5 -11◦24.5 -13.9 59.013 13◦50.5 14◦11.2 302◦06.4 10.5 -11◦38.4 -13.8 59.014 28◦50.6 14◦10.5 316◦35.9 10.4 -11◦52.2 -13.8 59.015 43◦50.7 14◦09.7 331◦05.2 10.3 -12◦05.9 -13.7 59.116 58◦50.8 14◦08.9 345◦34.5 10.3 -12◦19.6 -13.6 59.117 73◦51.0 14◦08.1 0◦03.7 10.2 -12◦33.2 -13.6 59.118 88◦51.1 14◦07.4 14◦32.9 10.1 -12◦46.7 -13.5 59.119 103◦51.2 14◦06.6 29◦02.0 10.1 -13◦00.2 -13.4 59.120 118◦51.3 14◦05.8 43◦31.0 10.0 -13◦13.6 -13.4 59.121 133◦51.4 14◦05.0 57◦60.0 9.9 -13◦26.9 -13.3 59.122 148◦51.6 14◦04.2 72◦28.9 9.8 -13◦40.2 -13.2 59.123 163◦51.7 14◦03.5 86◦57.7 9.8 -13◦53.4 -13.2 59.1

SD.=15.8 d=-0.8 S.D.=16.1

Sun GHA Dec GHA ν Dec d HP0 178◦51.8 14◦02.7 101◦26.4 9.7 -14◦06.5 -13.1 59.11 193◦51.9 14◦01.9 115◦55.1 9.6 -14◦19.6 -13.0 59.12 208◦52.0 14◦01.1 130◦23.7 9.6 -14◦32.6 -12.9 59.23 223◦52.2 14◦00.3 144◦52.2 9.5 -14◦45.5 -12.9 59.24 238◦52.3 13◦59.6 159◦20.6 9.4 -14◦58.3 -12.8 59.25 253◦52.4 13◦58.8 173◦49.0 9.3 -15◦11.0 -12.7 59.26 268◦52.5 13◦58.0 188◦17.3 9.2 -15◦23.7 -12.6 59.27 283◦52.7 13◦57.2 202◦45.5 9.2 -15◦36.2 -12.5 59.28 298◦52.8 13◦56.4 217◦13.6 9.1 -15◦48.7 -12.4 59.29 313◦52.9 13◦55.6 231◦41.7 9.0 -16◦01.1 -12.4 59.210 328◦53.0 13◦54.9 246◦09.6 8.9 -16◦13.4 -12.3 59.211 343◦53.2 13◦54.1 260◦37.5 8.9 -16◦25.6 -12.2 59.212 358◦53.3 13◦53.3 275◦05.3 8.8 -16◦37.8 -12.1 59.213 13◦53.4 13◦52.5 289◦33.1 8.7 -16◦49.8 -12.0 59.214 28◦53.5 13◦51.7 304◦00.7 8.6 -17◦01.7 -11.9 59.215 43◦53.7 13◦50.9 318◦28.3 8.5 -17◦13.6 -11.8 59.316 58◦53.8 13◦50.1 332◦55.8 8.4 -17◦25.3 -11.7 59.317 73◦53.9 13◦49.4 347◦23.2 8.4 -17◦37.0 -11.6 59.318 88◦54.0 13◦48.6 1◦50.5 8.3 -17◦48.5 -11.5 59.319 103◦54.2 13◦47.8 16◦17.7 8.2 -17◦60.0 -11.4 59.320 118◦54.3 13◦47.0 30◦44.9 8.1 -18◦11.3 -11.3 59.321 133◦54.4 13◦46.2 45◦11.9 8.0 -18◦22.5 -11.2 59.322 148◦54.6 13◦45.4 59◦38.9 7.9 -18◦33.7 -11.1 59.323 163◦54.7 13◦44.6 74◦05.8 7.9 -18◦44.7 -11.0 59.3

SD.=15.8 d=-0.8 S.D.=16.1

Mon GHA Dec GHA ν Dec d HP0 178◦54.8 13◦43.8 88◦32.6 7.8 -18◦55.6 -10.9 59.31 193◦54.9 13◦43.0 102◦59.4 7.7 -19◦06.4 -10.7 59.32 208◦55.1 13◦42.3 117◦26.0 7.6 -19◦17.1 -10.6 59.33 223◦55.2 13◦41.5 131◦52.6 7.5 -19◦27.6 -10.5 59.34 238◦55.3 13◦40.7 146◦19.1 7.4 -19◦38.1 -10.4 59.35 253◦55.5 13◦39.9 160◦45.5 7.4 -19◦48.4 -10.3 59.36 268◦55.6 13◦39.1 175◦11.8 7.3 -19◦58.6 -10.2 59.37 283◦55.7 13◦38.3 189◦38.0 7.2 -20◦08.7 -10.0 59.38 298◦55.8 13◦37.5 204◦04.2 7.1 -20◦18.7 -9.9 59.39 313◦56.0 13◦36.7 218◦30.2 7.0 -20◦28.5 -9.8 59.410 328◦56.1 13◦35.9 232◦56.2 6.9 -20◦38.3 -9.7 59.411 343◦56.2 13◦35.1 247◦22.1 6.9 -20◦47.8 -9.5 59.412 358◦56.4 13◦34.3 261◦47.9 6.8 -20◦57.3 -9.4 59.413 13◦56.5 13◦33.5 276◦13.6 6.7 -21◦06.7 -9.3 59.414 28◦56.6 13◦32.7 290◦39.3 6.6 -21◦15.9 -9.1 59.415 43◦56.8 13◦32.0 305◦04.8 6.5 -21◦24.9 -9.0 59.416 58◦56.9 13◦31.2 319◦30.3 6.4 -21◦33.9 -8.9 59.417 73◦57.0 13◦30.4 333◦55.7 6.4 -21◦42.7 -8.7 59.418 88◦57.2 13◦29.6 348◦21.1 6.3 -21◦51.4 -8.6 59.419 103◦57.3 13◦28.8 2◦46.3 6.2 -21◦59.9 -8.5 59.420 118◦57.4 13◦28.0 17◦11.5 6.1 -22◦08.3 -8.3 59.421 133◦57.6 13◦27.2 31◦36.6 6.1 -22◦16.5 -8.2 59.422 148◦57.7 13◦26.4 46◦01.6 6.0 -22◦24.6 -8.0 59.423 163◦57.8 13◦25.6 60◦26.5 5.9 -22◦32.6 -7.9 59.4

SD.=15.8 d=-0.8 S.D.=16.2

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 –:– –:– 02:26 21:38 –:– –:–70 –:– –:– 02:57 21:08 –:– –:–68 –:– 01:45 03:20 20:45 22:17 –:–66 –:– 02:22 03:38 20:28 21:43 –:–64 –:– 02:48 03:52 20:14 21:18 –:–62 01:33 03:07 04:04 20:03 20:59 22:3060 02:07 03:23 04:15 19:53 20:43 21:5858 02:31 03:36 04:23 19:44 20:31 21:3556 02:49 03:48 04:31 19:36 20:19 21:1754 03:04 03:58 04:38 19:30 20:10 21:0352 03:17 04:06 04:44 19:23 20:01 20:5050 03:28 04:14 04:50 19:18 19:54 20:3945 03:50 04:30 05:02 19:06 19:38 20:1740 04:07 04:43 05:12 18:57 19:25 20:0035 04:21 04:53 05:20 18:48 19:15 19:4730 04:32 05:02 05:27 18:41 19:06 19:3620 04:50 05:17 05:40 18:29 18:51 19:1810 05:04 05:29 05:51 18:18 18:39 19:050 05:15 05:40 06:01 18:08 18:29 18:54-10 05:25 05:49 06:11 17:58 18:20 18:44-20 05:33 05:59 06:22 17:48 18:10 18:36-30 05:41 06:09 06:34 17:36 18:00 18:29-35 05:44 06:14 06:40 17:29 17:55 18:25-40 05:48 06:20 06:48 17:21 17:49 18:21-45 05:52 06:27 06:57 17:12 17:43 18:17-50 05:56 06:34 07:08 17:02 17:36 18:14-52 05:58 06:37 07:13 16:57 17:32 18:12-54 05:59 06:41 07:18 16:51 17:29 18:10-56 06:01 06:45 07:24 16:45 17:25 18:09-58 06:03 06:49 07:31 16:39 17:20 18:07-60 06:05 06:54 07:39 16:31 17:16 18:05

Moonrise MoonsetLat. Sat Sun Mon Sat Sun Mon72 13:35 17:18 –:– 19:58 18:05 –:–70 13:13 15:49 –:– 20:22 19:36 –:–68 12:56 15:10 –:– 20:41 20:16 –:–66 12:42 14:43 17:02 20:56 20:44 20:2364 12:31 14:23 16:23 21:09 21:06 21:0262 12:22 14:07 15:56 21:20 21:23 21:3060 12:14 13:53 15:35 21:29 21:37 21:5258 12:06 13:42 15:18 21:37 21:50 22:0956 12:00 13:32 15:04 21:44 22:01 22:2454 11:55 13:23 14:51 21:51 22:10 22:3752 11:50 13:15 14:40 21:56 22:19 22:4850 11:45 13:08 14:31 22:02 22:26 22:5845 11:36 12:53 14:11 22:13 22:43 23:2040 11:28 12:41 13:54 22:23 22:56 23:3735 11:21 12:30 13:41 22:31 23:08 23:5130 11:15 12:21 13:29 22:38 23:18 –:–20 11:05 12:06 13:08 22:51 23:36 –:–10 10:56 11:52 12:51 23:02 23:51 –:–0 10:48 11:40 12:35 23:12 –:– 00:05-10 10:40 11:27 12:19 23:22 –:– 00:20-20 10:31 11:14 12:02 23:34 –:– 00:35-30 10:21 10:59 11:42 23:46 –:– 00:53-35 10:15 10:50 11:31 23:54 –:– 01:04-40 10:09 10:41 11:18 –:– 00:02 01:16-45 10:02 10:29 11:02 –:– 00:12 01:30-50 09:53 10:15 10:44 –:– 00:24 01:47-52 09:49 10:09 10:35 –:– 00:30 01:55-54 09:45 10:02 10:25 –:– 00:36 02:04-56 09:40 09:54 10:14 –:– 00:43 02:15-58 09:34 09:46 10:02 –:– 00:51 02:27-60 09:28 09:36 09:47 –:– 00:60 02:41

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower14 04:44 04:39 12:04 16:59 04:34 6(37%)15 04:33 04:27 12:04 17:52 05:25 7(49%)16 04:21 04:14 12:04 18:48 06:19 8(60%)

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August 17, 18 ,19 (Tue., Wed., Thu.)Aries Venus Mars Jupiter Saturn

Tue GHA GHA Dec GHA Dec GHA Dec GHA Dec0 325◦35.6 144◦26.4 0◦14.1 162◦19.7 8◦11.9 355◦21.8 -13◦24.2 13◦49.8 -18◦44.81 340◦38.0 159◦26.2 0◦12.9 177◦20.7 8◦11.2 10◦24.6 -13◦24.3 28◦52.4 -18◦44.82 355◦40.5 174◦26.0 0◦11.6 192◦21.7 8◦10.6 25◦27.4 -13◦24.5 43◦55.1 -18◦44.93 10◦42.9 189◦25.8 0◦10.3 207◦22.7 8◦10.0 40◦30.2 -13◦24.6 58◦57.7 -18◦44.94 25◦45.4 204◦25.7 0◦09.0 222◦23.7 8◦09.4 55◦32.9 -13◦24.7 74◦00.4 -18◦45.05 40◦47.9 219◦25.5 0◦07.7 237◦24.6 8◦08.8 70◦35.7 -13◦24.8 89◦03.0 -18◦45.06 55◦50.3 234◦25.3 0◦06.4 252◦25.6 8◦08.2 85◦38.5 -13◦24.9 104◦05.6 -18◦45.17 70◦52.8 249◦25.1 0◦05.1 267◦26.6 8◦07.5 100◦41.3 -13◦25.0 119◦08.3 -18◦45.18 85◦55.3 264◦24.9 0◦03.8 282◦27.6 8◦06.9 115◦44.1 -13◦25.2 134◦10.9 -18◦45.29 100◦57.7 279◦24.7 0◦02.6 297◦28.6 8◦06.3 130◦46.8 -13◦25.3 149◦13.6 -18◦45.210 116◦00.2 294◦24.5 0◦01.3 312◦29.6 8◦05.7 145◦49.6 -13◦25.4 164◦16.2 -18◦45.211 131◦02.7 309◦24.3 -0◦00.0 327◦30.6 8◦05.1 160◦52.4 -13◦25.5 179◦18.8 -18◦45.312 146◦05.1 324◦24.1 -0◦01.3 342◦31.6 8◦04.4 175◦55.2 -13◦25.6 194◦21.5 -18◦45.313 161◦07.6 339◦23.9 -0◦02.6 357◦32.6 8◦03.8 190◦57.9 -13◦25.7 209◦24.1 -18◦45.414 176◦10.1 354◦23.7 -0◦03.9 12◦33.6 8◦03.2 206◦00.7 -13◦25.9 224◦26.8 -18◦45.415 191◦12.5 9◦23.5 -0◦05.2 27◦34.6 8◦02.6 221◦03.5 -13◦26.0 239◦29.4 -18◦45.516 206◦15.0 24◦23.3 -0◦06.5 42◦35.5 8◦02.0 236◦06.3 -13◦26.1 254◦32.1 -18◦45.517 221◦17.4 39◦23.1 -0◦07.8 57◦36.5 8◦01.4 251◦09.1 -13◦26.2 269◦34.7 -18◦45.618 236◦19.9 54◦22.9 -0◦09.0 72◦37.5 8◦00.7 266◦11.8 -13◦26.3 284◦37.3 -18◦45.619 251◦22.4 69◦22.7 -0◦10.3 87◦38.5 8◦00.1 281◦14.6 -13◦26.4 299◦40.0 -18◦45.720 266◦24.8 84◦22.5 -0◦11.6 102◦39.5 7◦59.5 296◦17.4 -13◦26.6 314◦42.6 -18◦45.721 281◦27.3 99◦22.3 -0◦12.9 117◦40.5 7◦58.9 311◦20.2 -13◦26.7 329◦45.3 -18◦45.822 296◦29.8 114◦22.1 -0◦14.2 132◦41.5 7◦58.3 326◦22.9 -13◦26.8 344◦47.9 -18◦45.823 311◦32.2 129◦21.9 -0◦15.5 147◦42.5 7◦57.6 341◦25.7 -13◦26.9 359◦50.5 -18◦45.9Mer.pass.:2:17: v-0.2 d-1.3 m-3.9 v1.0 d-0.6 m1.8 v2.8 d-0.1 m-2.7 v2.6 d-0.0 m0.2

Wed GHA GHA Dec GHA Dec GHA Dec GHA Dec0 326◦34.7 144◦21.7 -0◦16.8 162◦43.5 7◦57.0 356◦28.5 -13◦27.0 14◦53.2 -18◦45.91 341◦37.2 159◦21.6 -0◦18.1 177◦44.5 7◦56.4 11◦31.3 -13◦27.2 29◦55.8 -18◦46.02 356◦39.6 174◦21.4 -0◦19.4 192◦45.4 7◦55.8 26◦34.1 -13◦27.3 44◦58.5 -18◦46.03 11◦42.1 189◦21.2 -0◦20.6 207◦46.4 7◦55.2 41◦36.8 -13◦27.4 60◦01.1 -18◦46.14 26◦44.6 204◦21.0 -0◦21.9 222◦47.4 7◦54.5 56◦39.6 -13◦27.5 75◦03.7 -18◦46.15 41◦47.0 219◦20.8 -0◦23.2 237◦48.4 7◦53.9 71◦42.4 -13◦27.6 90◦06.4 -18◦46.26 56◦49.5 234◦20.6 -0◦24.5 252◦49.4 7◦53.3 86◦45.2 -13◦27.7 105◦09.0 -18◦46.27 71◦51.9 249◦20.4 -0◦25.8 267◦50.4 7◦52.7 101◦48.0 -13◦27.9 120◦11.7 -18◦46.38 86◦54.4 264◦20.2 -0◦27.1 282◦51.4 7◦52.1 116◦50.7 -13◦28.0 135◦14.3 -18◦46.39 101◦56.9 279◦20.0 -0◦28.4 297◦52.4 7◦51.4 131◦53.5 -13◦28.1 150◦17.0 -18◦46.410 116◦59.3 294◦19.8 -0◦29.7 312◦53.4 7◦50.8 146◦56.3 -13◦28.2 165◦19.6 -18◦46.411 132◦01.8 309◦19.6 -0◦31.0 327◦54.4 7◦50.2 161◦59.1 -13◦28.3 180◦22.2 -18◦46.512 147◦04.3 324◦19.4 -0◦32.3 342◦55.4 7◦49.6 177◦01.8 -13◦28.4 195◦24.9 -18◦46.513 162◦06.7 339◦19.2 -0◦33.5 357◦56.4 7◦49.0 192◦04.6 -13◦28.6 210◦27.5 -18◦46.614 177◦09.2 354◦19.0 -0◦34.8 12◦57.3 7◦48.3 207◦07.4 -13◦28.7 225◦30.2 -18◦46.615 192◦11.7 9◦18.8 -0◦36.1 27◦58.3 7◦47.7 222◦10.2 -13◦28.8 240◦32.8 -18◦46.716 207◦14.1 24◦18.7 -0◦37.4 42◦59.3 7◦47.1 237◦13.0 -13◦28.9 255◦35.4 -18◦46.717 222◦16.6 39◦18.5 -0◦38.7 58◦00.3 7◦46.5 252◦15.7 -13◦29.0 270◦38.1 -18◦46.818 237◦19.1 54◦18.3 -0◦40.0 73◦01.3 7◦45.9 267◦18.5 -13◦29.1 285◦40.7 -18◦46.819 252◦21.5 69◦18.1 -0◦41.3 88◦02.3 7◦45.2 282◦21.3 -13◦29.3 300◦43.4 -18◦46.820 267◦24.0 84◦17.9 -0◦42.6 103◦03.3 7◦44.6 297◦24.1 -13◦29.4 315◦46.0 -18◦46.921 282◦26.4 99◦17.7 -0◦43.9 118◦04.3 7◦44.0 312◦26.9 -13◦29.5 330◦48.6 -18◦46.922 297◦28.9 114◦17.5 -0◦45.1 133◦05.3 7◦43.4 327◦29.6 -13◦29.6 345◦51.3 -18◦47.023 312◦31.4 129◦17.3 -0◦46.4 148◦06.3 7◦42.8 342◦32.4 -13◦29.7 0◦53.9 -18◦47.0Mer.pass.:2:13: v-0.2 d-1.3 m-3.9 v1.0 d-0.6 m1.8 v2.8 d-0.1 m-2.7 v2.6 d-0.0 m0.2

Thu GHA GHA Dec GHA Dec GHA Dec GHA Dec0 327◦33.8 144◦17.1 -0◦47.7 163◦07.3 7◦42.1 357◦35.2 -13◦29.8 15◦56.6 -18◦47.11 342◦36.3 159◦16.9 -0◦49.0 178◦08.2 7◦41.5 12◦38.0 -13◦30.0 30◦59.2 -18◦47.12 357◦38.8 174◦16.7 -0◦50.3 193◦09.2 7◦40.9 27◦40.8 -13◦30.1 46◦01.8 -18◦47.23 12◦41.2 189◦16.5 -0◦51.6 208◦10.2 7◦40.3 42◦43.5 -13◦30.2 61◦04.5 -18◦47.24 27◦43.7 204◦16.4 -0◦52.9 223◦11.2 7◦39.6 57◦46.3 -13◦30.3 76◦07.1 -18◦47.35 42◦46.2 219◦16.2 -0◦54.2 238◦12.2 7◦39.0 72◦49.1 -13◦30.4 91◦09.7 -18◦47.36 57◦48.6 234◦16.0 -0◦55.5 253◦13.2 7◦38.4 87◦51.9 -13◦30.6 106◦12.4 -18◦47.47 72◦51.1 249◦15.8 -0◦56.7 268◦14.2 7◦37.8 102◦54.6 -13◦30.7 121◦15.0 -18◦47.48 87◦53.6 264◦15.6 -0◦58.0 283◦15.2 7◦37.2 117◦57.4 -13◦30.8 136◦17.7 -18◦47.59 102◦56.0 279◦15.4 -0◦59.3 298◦16.2 7◦36.5 133◦00.2 -13◦30.9 151◦20.3 -18◦47.510 117◦58.5 294◦15.2 -1◦00.6 313◦17.2 7◦35.9 148◦03.0 -13◦31.0 166◦22.9 -18◦47.611 133◦00.9 309◦15.0 -1◦01.9 328◦18.2 7◦35.3 163◦05.8 -13◦31.1 181◦25.6 -18◦47.612 148◦03.4 324◦14.8 -1◦03.2 343◦19.2 7◦34.7 178◦08.5 -13◦31.3 196◦28.2 -18◦47.713 163◦05.9 339◦14.6 -1◦04.5 358◦20.2 7◦34.0 193◦11.3 -13◦31.4 211◦30.9 -18◦47.714 178◦08.3 354◦14.5 -1◦05.8 13◦21.1 7◦33.4 208◦14.1 -13◦31.5 226◦33.5 -18◦47.815 193◦10.8 9◦14.3 -1◦07.1 28◦22.1 7◦32.8 223◦16.9 -13◦31.6 241◦36.1 -18◦47.816 208◦13.3 24◦14.1 -1◦08.4 43◦23.1 7◦32.2 238◦19.7 -13◦31.7 256◦38.8 -18◦47.917 223◦15.7 39◦13.9 -1◦09.6 58◦24.1 7◦31.6 253◦22.4 -13◦31.8 271◦41.4 -18◦47.918 238◦18.2 54◦13.7 -1◦10.9 73◦25.1 7◦30.9 268◦25.2 -13◦32.0 286◦44.1 -18◦47.919 253◦20.7 69◦13.5 -1◦12.2 88◦26.1 7◦30.3 283◦28.0 -13◦32.1 301◦46.7 -18◦48.020 268◦23.1 84◦13.3 -1◦13.5 103◦27.1 7◦29.7 298◦30.8 -13◦32.2 316◦49.3 -18◦48.021 283◦25.6 99◦13.1 -1◦14.8 118◦28.1 7◦29.1 313◦33.6 -13◦32.3 331◦52.0 -18◦48.122 298◦28.1 114◦12.9 -1◦16.1 133◦29.1 7◦28.4 328◦36.3 -13◦32.4 346◦54.6 -18◦48.123 313◦30.5 129◦12.7 -1◦17.4 148◦30.1 7◦27.8 343◦39.1 -13◦32.5 1◦57.2 -18◦48.2Mer.pass.:2:09: v-0.2 d-1.3 m-3.9 v1.0 d-0.6 m1.8 v2.8 d-0.1 m-2.7 v2.6 d-0.0 m0.2

StarsSHA Dec

Alpheratz 357◦37.3 29◦12.5Ankaa 353◦09.6 -42◦11.2

Schedar 349◦33.7 56◦39.1Diphda 348◦49.7 -17◦52.0

Achernar 335◦22.0 -57◦07.4Hamal 327◦54.2 23◦33.8Polaris 315◦14.3 89◦20.9Akamar 315◦13.8 -40◦12.9Menkar 314◦09.0 4◦10.5Mirfak 308◦32.2 49◦56.0

Aldebaran 290◦42.9 16◦33.1Rigel 281◦06.7 -8◦10.5

Capella 280◦26.2 46◦01.0Bellatrix 278◦26.0 6◦22.2Elnath 278◦05.5 28◦37.5Alnilam 275◦40.7 -1◦11.2

Betelgeuse 270◦55.3 7◦24.7Canopus 263◦54.0 -52◦42.2

Sirius 258◦28.8 -16◦44.4Adara 255◦08.3 -28◦59.9

Procyon 244◦53.9 5◦10.4Pollux 243◦20.9 27◦58.5Avior 234◦16.4 -59◦34.5Suhail 222◦48.7 -43◦31.0

Miaplacidus 221◦39.7 -69◦48.2Alphard 217◦50.8 -8◦45.0Regulus 207◦37.7 11◦51.9Dubhe 193◦45.1 61◦38.3

Denebola 182◦28.0 14◦27.3Gienah 175◦46.6 -17◦39.6Acrux 173◦03.6 -63◦13.2

Gacrux 171◦55.1 -57◦14.1Alioth 166◦15.9 55◦50.9Spica 158◦25.4 -11◦16.3Alcaid 152◦54.5 49◦12.7Hadar 148◦40.1 -60◦28.7

Menkent 148◦01.0 -36◦28.6Arcturus 145◦50.4 19◦04.8

Rigil Kent. 139◦44.2 -60◦55.6Zubenelg. 136◦59.1 -16◦07.8Kochab 137◦20.1 74◦04.4

Alphecca 126◦06.1 26◦38.9Antares 112◦19.1 -26◦28.7

Atria 107◦15.6 -69◦04.1Sabik 102◦05.8 -15◦45.0

Shaula 96◦13.9 -37◦07.2Rasalhague 96◦01.0 12◦32.9

Etamin 90◦43.2 51◦29.4Kaus Aust. 83◦35.9 -34◦22.4

Vega 80◦34.8 38◦48.4Nunki 75◦50.9 -26◦16.1Altair 62◦02.4 8◦55.6

Peacock 53◦09.5 -56◦39.9Deneb 49◦27.2 45◦21.5

Enif 33◦41.2 9◦58.5Alnair 27◦36.0 -46◦51.3

Fomalhaut 15◦17.3 -29◦30.4Scheat 13◦47.6 28◦11.9Markab 13◦32.3 15◦19.3

2021/8/1 SHA Mer.passVenus 178◦50.9 14:22Mars 196◦44.1 13:10

Jupiter 29◦46.3 00:18Saturn 48◦14.2 23:01

2021/8/1 SHA Mer.passVenus 177◦47.0 14:23Mars 196◦08.8 13:08

Jupiter 29◦53.8 00:14Saturn 48◦18.5 22:56

2021/8/1 SHA Mer.passVenus 176◦43.3 14:23Mars 195◦33.4 13:07

Jupiter 30◦01.4 00:10Saturn 48◦22.7 22:52

Horizontal paralaxVenus: 0.1Mars: 0.1

154

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2021 August 17 to Aug. 19

h Sun MoonTue GHA Dec GHA ν Dec d HP0 178◦58.0 13◦24.8 74◦51.4 5.8 -22◦40.4 -7.7 59.41 193◦58.1 13◦24.0 89◦16.2 5.7 -22◦48.1 -7.6 59.42 208◦58.2 13◦23.2 103◦40.9 5.7 -22◦55.6 -7.5 59.43 223◦58.4 13◦22.4 118◦05.5 5.6 -23◦03.0 -7.3 59.44 238◦58.5 13◦21.6 132◦30.1 5.5 -23◦10.2 -7.2 59.45 253◦58.6 13◦20.8 146◦54.6 5.5 -23◦17.3 -7.0 59.46 268◦58.8 13◦20.0 161◦19.0 5.4 -23◦24.2 -6.9 59.47 283◦58.9 13◦19.2 175◦43.4 5.3 -23◦31.0 -6.7 59.48 298◦59.0 13◦18.4 190◦07.7 5.3 -23◦37.6 -6.5 59.49 313◦59.2 13◦17.6 204◦31.9 5.2 -23◦44.1 -6.4 59.410 328◦59.3 13◦16.8 218◦56.0 5.1 -23◦50.4 -6.2 59.411 343◦59.4 13◦16.0 233◦20.1 5.1 -23◦56.6 -6.1 59.412 358◦59.6 13◦15.2 247◦44.2 5.0 -24◦02.5 -5.9 59.413 13◦59.7 13◦14.4 262◦08.2 4.9 -24◦08.4 -5.7 59.414 28◦59.9 13◦13.6 276◦32.1 4.9 -24◦14.0 -5.6 59.415 43◦60.0 13◦12.8 290◦55.9 4.8 -24◦19.5 -5.4 59.416 59◦00.1 13◦12.0 305◦19.7 4.8 -24◦24.9 -5.3 59.417 74◦00.3 13◦11.2 319◦43.5 4.7 -24◦30.1 -5.1 59.418 89◦00.4 13◦10.4 334◦07.2 4.7 -24◦35.1 -4.9 59.419 104◦00.5 13◦09.5 348◦30.8 4.6 -24◦39.9 -4.8 59.420 119◦00.7 13◦08.7 2◦54.4 4.6 -24◦44.6 -4.6 59.421 134◦00.8 13◦07.9 17◦18.0 4.5 -24◦49.1 -4.4 59.422 149◦01.0 13◦07.1 31◦41.5 4.5 -24◦53.5 -4.3 59.423 164◦01.1 13◦06.3 46◦04.9 4.4 -24◦57.7 -4.1 59.4

SD.=15.8 d=-0.8 S.D.=16.2

Wed GHA Dec GHA ν Dec d HP0 179◦01.2 13◦05.5 60◦28.4 4.4 -25◦01.7 -3.9 59.41 194◦01.4 13◦04.7 74◦51.7 4.4 -25◦05.5 -3.8 59.42 209◦01.5 13◦03.9 89◦15.1 4.3 -25◦09.2 -3.6 59.43 224◦01.7 13◦03.1 103◦38.4 4.3 -25◦12.7 -3.4 59.44 239◦01.8 13◦02.3 118◦01.6 4.2 -25◦16.0 -3.2 59.45 254◦01.9 13◦01.5 132◦24.9 4.2 -25◦19.1 -3.1 59.46 269◦02.1 13◦00.7 146◦48.1 4.2 -25◦22.1 -2.9 59.47 284◦02.2 12◦59.9 161◦11.2 4.2 -25◦24.9 -2.7 59.48 299◦02.4 12◦59.1 175◦34.4 4.1 -25◦27.5 -2.5 59.49 314◦02.5 12◦58.2 189◦57.5 4.1 -25◦30.0 -2.4 59.310 329◦02.6 12◦57.4 204◦20.6 4.1 -25◦32.3 -2.2 59.311 344◦02.8 12◦56.6 218◦43.7 4.1 -25◦34.4 -2.0 59.312 359◦02.9 12◦55.8 233◦06.8 4.1 -25◦36.3 -1.8 59.313 14◦03.1 12◦55.0 247◦29.8 4.0 -25◦38.0 -1.7 59.314 29◦03.2 12◦54.2 261◦52.8 4.0 -25◦39.6 -1.5 59.315 44◦03.4 12◦53.4 276◦15.9 4.0 -25◦41.0 -1.3 59.316 59◦03.5 12◦52.6 290◦38.9 4.0 -25◦42.2 -1.1 59.317 74◦03.6 12◦51.7 305◦01.9 4.0 -25◦43.2 -0.9 59.318 89◦03.8 12◦50.9 319◦24.9 4.0 -25◦44.1 -0.8 59.319 104◦03.9 12◦50.1 333◦47.9 4.0 -25◦44.8 -0.6 59.320 119◦04.1 12◦49.3 348◦10.9 4.0 -25◦45.3 -0.4 59.321 134◦04.2 12◦48.5 2◦33.9 4.0 -25◦45.6 -0.2 59.322 149◦04.4 12◦47.7 16◦56.9 4.0 -25◦45.8 -0.1 59.323 164◦04.5 12◦46.9 31◦19.9 4.0 -25◦45.7 0.1 59.3

SD.=15.8 d=-0.8 S.D.=16.2

Thu GHA Dec GHA ν Dec d HP0 179◦04.6 12◦46.0 45◦42.9 4.0 -25◦45.5 0.3 59.31 194◦04.8 12◦45.2 60◦05.9 4.0 -25◦45.1 0.5 59.22 209◦04.9 12◦44.4 74◦29.0 4.1 -25◦44.6 0.6 59.23 224◦05.1 12◦43.6 88◦52.1 4.1 -25◦43.8 0.8 59.24 239◦05.2 12◦42.8 103◦15.1 4.1 -25◦42.9 1.0 59.25 254◦05.4 12◦42.0 117◦38.2 4.1 -25◦41.8 1.2 59.26 269◦05.5 12◦41.1 132◦01.3 4.1 -25◦40.6 1.4 59.27 284◦05.7 12◦40.3 146◦24.5 4.2 -25◦39.1 1.5 59.28 299◦05.8 12◦39.5 160◦47.7 4.2 -25◦37.5 1.7 59.29 314◦06.0 12◦38.7 175◦10.9 4.2 -25◦35.7 1.9 59.210 329◦06.1 12◦37.9 189◦34.1 4.2 -25◦33.8 2.1 59.211 344◦06.3 12◦37.1 203◦57.4 4.3 -25◦31.6 2.2 59.212 359◦06.4 12◦36.2 218◦20.7 4.3 -25◦29.3 2.4 59.113 14◦06.5 12◦35.4 232◦44.0 4.4 -25◦26.8 2.6 59.114 29◦06.7 12◦34.6 247◦07.4 4.4 -25◦24.2 2.7 59.115 44◦06.8 12◦33.8 261◦30.8 4.4 -25◦21.3 2.9 59.116 59◦07.0 12◦33.0 275◦54.2 4.5 -25◦18.3 3.1 59.117 74◦07.1 12◦32.1 290◦17.7 4.5 -25◦15.2 3.3 59.118 89◦07.3 12◦31.3 304◦41.3 4.6 -25◦11.8 3.4 59.119 104◦07.4 12◦30.5 319◦04.9 4.6 -25◦08.3 3.6 59.120 119◦07.6 12◦29.7 333◦28.6 4.7 -25◦04.6 3.8 59.121 134◦07.7 12◦28.8 347◦52.3 4.7 -25◦00.8 3.9 59.022 149◦07.9 12◦28.0 2◦16.0 4.8 -24◦56.8 4.1 59.023 164◦08.0 12◦27.2 16◦39.9 4.9 -24◦52.6 4.3 59.0

SD.=15.8 d=-0.8 S.D.=16.2

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 –:– –:– 02:45 21:17 –:– –:–70 –:– 01:15 03:12 20:51 22:42 –:–68 –:– 02:06 03:33 20:32 21:56 –:–66 –:– 02:37 03:49 20:16 21:27 –:–64 01:06 02:60 04:02 20:04 21:05 22:5262 01:52 03:17 04:13 19:53 20:48 22:1160 02:20 03:32 04:22 19:44 20:34 21:4458 02:41 03:44 04:30 19:36 20:22 21:2456 02:58 03:54 04:37 19:29 20:11 21:0754 03:12 04:04 04:43 19:23 20:03 20:5452 03:24 04:12 04:49 19:17 19:55 20:4250 03:34 04:19 04:54 19:12 19:48 20:3245 03:55 04:34 05:05 19:01 19:33 20:1140 04:11 04:46 05:15 18:52 19:21 19:5635 04:24 04:56 05:22 18:45 19:11 19:4330 04:35 05:04 05:29 18:38 19:03 19:3220 04:51 05:18 05:41 18:26 18:49 19:1610 05:04 05:29 05:51 18:16 18:38 19:030 05:15 05:39 06:00 18:07 18:28 18:53-10 05:23 05:48 06:10 17:58 18:19 18:44-20 05:31 05:57 06:20 17:48 18:11 18:37-30 05:38 06:06 06:31 17:37 18:02 18:30-35 05:41 06:11 06:37 17:31 17:57 18:27-40 05:44 06:16 06:44 17:24 17:52 18:24-45 05:48 06:22 06:52 17:16 17:46 18:21-50 05:51 06:29 07:02 17:06 17:40 18:17-52 05:52 06:32 07:07 17:02 17:37 18:16-54 05:54 06:35 07:12 16:57 17:33 18:15-56 05:55 06:38 07:17 16:51 17:30 18:14-58 05:56 06:42 07:24 16:45 17:26 18:12-60 05:58 06:47 07:31 16:38 17:22 18:11

Moonrise MoonsetLat. Tue Wed Thu Tue Wed Thu72 –:– –:– –:– –:– –:– –:–70 –:– –:– –:– –:– –:– –:–68 –:– –:– –:– –:– –:– –:–66 –:– –:– –:– –:– –:– –:–64 18:29 20:28 20:46 20:60 21:11 23:0162 17:43 19:09 19:56 21:47 22:29 23:5160 17:13 18:33 19:24 22:17 23:06 –:–58 16:50 18:07 19:00 22:41 23:32 –:–56 16:31 17:46 18:41 22:59 23:52 –:–54 16:16 17:29 18:25 23:15 –:– 00:1052 16:02 17:14 18:11 23:29 –:– 00:2450 15:50 17:01 17:59 23:41 –:– 00:3745 15:26 16:35 17:34 –:– 00:06 01:0340 15:07 16:14 17:14 –:– 00:26 01:2435 14:51 15:57 16:57 –:– 00:42 01:4130 14:37 15:42 16:42 00:04 00:57 01:5620 14:13 15:17 16:17 00:26 01:21 02:2210 13:52 14:55 15:56 00:45 01:43 02:440 13:33 14:35 15:36 01:02 02:02 03:04-10 13:15 14:14 15:16 01:20 02:22 03:24-20 12:54 13:53 14:55 01:39 02:43 03:46-30 12:31 13:28 14:30 02:01 03:08 04:11-35 12:18 13:13 14:15 02:14 03:23 04:26-40 12:02 12:56 13:58 02:29 03:39 04:43-45 11:44 12:35 13:38 02:47 03:59 05:04-50 11:21 12:10 13:13 03:09 04:25 05:29-52 11:10 11:57 13:00 03:19 04:37 05:42-54 10:57 11:43 12:46 03:31 04:51 05:56-56 10:43 11:27 12:30 03:45 05:07 06:13-58 10:27 11:07 12:10 04:01 05:27 06:32-60 10:07 10:43 11:46 04:21 05:51 06:57

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower17 04:08 04:02 12:04 19:47 07:17 9(71%)18 03:55 03:48 12:03 20:49 08:18 10(81%)19 03:41 03:34 12:03 21:50 09:20 11(89%)

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August 20, 21 ,22 (Fri., Sat., Sun.)Aries Venus Mars Jupiter Saturn

Fri GHA GHA Dec GHA Dec GHA Dec GHA Dec0 328◦33.0 144◦12.6 -1◦18.7 163◦31.1 7◦27.2 358◦41.9 -13◦32.7 16◦59.9 -18◦48.21 343◦35.4 159◦12.4 -1◦20.0 178◦32.1 7◦26.6 13◦44.7 -13◦32.8 32◦02.5 -18◦48.32 358◦37.9 174◦12.2 -1◦21.2 193◦33.1 7◦25.9 28◦47.5 -13◦32.9 47◦05.2 -18◦48.33 13◦40.4 189◦12.0 -1◦22.5 208◦34.0 7◦25.3 43◦50.2 -13◦33.0 62◦07.8 -18◦48.44 28◦42.8 204◦11.8 -1◦23.8 223◦35.0 7◦24.7 58◦53.0 -13◦33.1 77◦10.4 -18◦48.45 43◦45.3 219◦11.6 -1◦25.1 238◦36.0 7◦24.1 73◦55.8 -13◦33.2 92◦13.1 -18◦48.56 58◦47.8 234◦11.4 -1◦26.4 253◦37.0 7◦23.4 88◦58.6 -13◦33.4 107◦15.7 -18◦48.57 73◦50.2 249◦11.2 -1◦27.7 268◦38.0 7◦22.8 104◦01.3 -13◦33.5 122◦18.3 -18◦48.68 88◦52.7 264◦11.0 -1◦29.0 283◦39.0 7◦22.2 119◦04.1 -13◦33.6 137◦21.0 -18◦48.69 103◦55.2 279◦10.9 -1◦30.3 298◦40.0 7◦21.6 134◦06.9 -13◦33.7 152◦23.6 -18◦48.710 118◦57.6 294◦10.7 -1◦31.6 313◦41.0 7◦21.0 149◦09.7 -13◦33.8 167◦26.3 -18◦48.711 134◦00.1 309◦10.5 -1◦32.8 328◦42.0 7◦20.3 164◦12.5 -13◦33.9 182◦28.9 -18◦48.812 149◦02.5 324◦10.3 -1◦34.1 343◦43.0 7◦19.7 179◦15.2 -13◦34.1 197◦31.5 -18◦48.813 164◦05.0 339◦10.1 -1◦35.4 358◦44.0 7◦19.1 194◦18.0 -13◦34.2 212◦34.2 -18◦48.814 179◦07.5 354◦09.9 -1◦36.7 13◦45.0 7◦18.5 209◦20.8 -13◦34.3 227◦36.8 -18◦48.915 194◦09.9 9◦09.7 -1◦38.0 28◦46.0 7◦17.8 224◦23.6 -13◦34.4 242◦39.4 -18◦48.916 209◦12.4 24◦09.5 -1◦39.3 43◦47.0 7◦17.2 239◦26.4 -13◦34.5 257◦42.1 -18◦49.017 224◦14.9 39◦09.4 -1◦40.6 58◦47.9 7◦16.6 254◦29.1 -13◦34.6 272◦44.7 -18◦49.018 239◦17.3 54◦09.2 -1◦41.9 73◦48.9 7◦16.0 269◦31.9 -13◦34.8 287◦47.3 -18◦49.119 254◦19.8 69◦09.0 -1◦43.2 88◦49.9 7◦15.3 284◦34.7 -13◦34.9 302◦50.0 -18◦49.120 269◦22.3 84◦08.8 -1◦44.4 103◦50.9 7◦14.7 299◦37.5 -13◦35.0 317◦52.6 -18◦49.221 284◦24.7 99◦08.6 -1◦45.7 118◦51.9 7◦14.1 314◦40.3 -13◦35.1 332◦55.3 -18◦49.222 299◦27.2 114◦08.4 -1◦47.0 133◦52.9 7◦13.5 329◦43.0 -13◦35.2 347◦57.9 -18◦49.323 314◦29.7 129◦08.2 -1◦48.3 148◦53.9 7◦12.8 344◦45.8 -13◦35.3 3◦00.5 -18◦49.3Mer.pass.:2:05: v-0.2 d-1.3 m-3.9 v1.0 d-0.6 m1.8 v2.8 d-0.1 m-2.7 v2.6 d-0.0 m0.2

Sat GHA GHA Dec GHA Dec GHA Dec GHA Dec0 329◦32.1 144◦08.0 -1◦49.6 163◦54.9 7◦12.2 359◦48.6 -13◦35.5 18◦03.2 -18◦49.41 344◦34.6 159◦07.9 -1◦50.9 178◦55.9 7◦11.6 14◦51.4 -13◦35.6 33◦05.8 -18◦49.42 359◦37.0 174◦07.7 -1◦52.2 193◦56.9 7◦10.9 29◦54.2 -13◦35.7 48◦08.4 -18◦49.53 14◦39.5 189◦07.5 -1◦53.5 208◦57.9 7◦10.3 44◦56.9 -13◦35.8 63◦11.1 -18◦49.54 29◦42.0 204◦07.3 -1◦54.8 223◦58.9 7◦09.7 59◦59.7 -13◦35.9 78◦13.7 -18◦49.65 44◦44.4 219◦07.1 -1◦56.0 238◦59.9 7◦09.1 75◦02.5 -13◦36.0 93◦16.3 -18◦49.66 59◦46.9 234◦06.9 -1◦57.3 254◦00.9 7◦08.4 90◦05.3 -13◦36.2 108◦19.0 -18◦49.67 74◦49.4 249◦06.7 -1◦58.6 269◦01.8 7◦07.8 105◦08.1 -13◦36.3 123◦21.6 -18◦49.78 89◦51.8 264◦06.5 -1◦59.9 284◦02.8 7◦07.2 120◦10.8 -13◦36.4 138◦24.3 -18◦49.79 104◦54.3 279◦06.4 -2◦01.2 299◦03.8 7◦06.6 135◦13.6 -13◦36.5 153◦26.9 -18◦49.810 119◦56.8 294◦06.2 -2◦02.5 314◦04.8 7◦05.9 150◦16.4 -13◦36.6 168◦29.5 -18◦49.811 134◦59.2 309◦06.0 -2◦03.8 329◦05.8 7◦05.3 165◦19.2 -13◦36.7 183◦32.2 -18◦49.912 150◦01.7 324◦05.8 -2◦05.1 344◦06.8 7◦04.7 180◦22.0 -13◦36.8 198◦34.8 -18◦49.913 165◦04.2 339◦05.6 -2◦06.3 359◦07.8 7◦04.1 195◦24.7 -13◦37.0 213◦37.4 -18◦50.014 180◦06.6 354◦05.4 -2◦07.6 14◦08.8 7◦03.4 210◦27.5 -13◦37.1 228◦40.1 -18◦50.015 195◦09.1 9◦05.2 -2◦08.9 29◦09.8 7◦02.8 225◦30.3 -13◦37.2 243◦42.7 -18◦50.116 210◦11.5 24◦05.0 -2◦10.2 44◦10.8 7◦02.2 240◦33.1 -13◦37.3 258◦45.3 -18◦50.117 225◦14.0 39◦04.9 -2◦11.5 59◦11.8 7◦01.6 255◦35.8 -13◦37.4 273◦48.0 -18◦50.218 240◦16.5 54◦04.7 -2◦12.8 74◦12.8 7◦00.9 270◦38.6 -13◦37.5 288◦50.6 -18◦50.219 255◦18.9 69◦04.5 -2◦14.1 89◦13.8 7◦00.3 285◦41.4 -13◦37.7 303◦53.2 -18◦50.320 270◦21.4 84◦04.3 -2◦15.4 104◦14.8 6◦59.7 300◦44.2 -13◦37.8 318◦55.9 -18◦50.321 285◦23.9 99◦04.1 -2◦16.7 119◦15.8 6◦59.0 315◦47.0 -13◦37.9 333◦58.5 -18◦50.322 300◦26.3 114◦03.9 -2◦17.9 134◦16.8 6◦58.4 330◦49.7 -13◦38.0 349◦01.1 -18◦50.423 315◦28.8 129◦03.7 -2◦19.2 149◦17.7 6◦57.8 345◦52.5 -13◦38.1 4◦03.8 -18◦50.4Mer.pass.:2:01: v-0.2 d-1.3 m-3.9 v1.0 d-0.6 m1.8 v2.8 d-0.1 m-2.7 v2.6 d-0.0 m0.2

Sun GHA GHA Dec GHA Dec GHA Dec GHA Dec0 330◦31.3 144◦03.6 -2◦20.5 164◦18.7 6◦57.2 0◦55.3 -13◦38.2 19◦06.4 -18◦50.51 345◦33.7 159◦03.4 -2◦21.8 179◦19.7 6◦56.5 15◦58.1 -13◦38.4 34◦09.1 -18◦50.52 0◦36.2 174◦03.2 -2◦23.1 194◦20.7 6◦55.9 31◦00.9 -13◦38.5 49◦11.7 -18◦50.63 15◦38.6 189◦03.0 -2◦24.4 209◦21.7 6◦55.3 46◦03.6 -13◦38.6 64◦14.3 -18◦50.64 30◦41.1 204◦02.8 -2◦25.7 224◦22.7 6◦54.7 61◦06.4 -13◦38.7 79◦17.0 -18◦50.75 45◦43.6 219◦02.6 -2◦26.9 239◦23.7 6◦54.0 76◦09.2 -13◦38.8 94◦19.6 -18◦50.76 60◦46.0 234◦02.4 -2◦28.2 254◦24.7 6◦53.4 91◦12.0 -13◦38.9 109◦22.2 -18◦50.87 75◦48.5 249◦02.3 -2◦29.5 269◦25.7 6◦52.8 106◦14.8 -13◦39.1 124◦24.9 -18◦50.88 90◦51.0 264◦02.1 -2◦30.8 284◦26.7 6◦52.1 121◦17.5 -13◦39.2 139◦27.5 -18◦50.99 105◦53.4 279◦01.9 -2◦32.1 299◦27.7 6◦51.5 136◦20.3 -13◦39.3 154◦30.1 -18◦50.910 120◦55.9 294◦01.7 -2◦33.4 314◦28.7 6◦50.9 151◦23.1 -13◦39.4 169◦32.8 -18◦50.911 135◦58.4 309◦01.5 -2◦34.7 329◦29.7 6◦50.3 166◦25.9 -13◦39.5 184◦35.4 -18◦51.012 151◦00.8 324◦01.3 -2◦36.0 344◦30.7 6◦49.6 181◦28.7 -13◦39.6 199◦38.0 -18◦51.013 166◦03.3 339◦01.1 -2◦37.2 359◦31.7 6◦49.0 196◦31.4 -13◦39.7 214◦40.7 -18◦51.114 181◦05.8 354◦01.0 -2◦38.5 14◦32.7 6◦48.4 211◦34.2 -13◦39.9 229◦43.3 -18◦51.115 196◦08.2 9◦00.8 -2◦39.8 29◦33.6 6◦47.7 226◦37.0 -13◦40.0 244◦45.9 -18◦51.216 211◦10.7 24◦00.6 -2◦41.1 44◦34.6 6◦47.1 241◦39.8 -13◦40.1 259◦48.6 -18◦51.217 226◦13.1 39◦00.4 -2◦42.4 59◦35.6 6◦46.5 256◦42.5 -13◦40.2 274◦51.2 -18◦51.318 241◦15.6 54◦00.2 -2◦43.7 74◦36.6 6◦45.9 271◦45.3 -13◦40.3 289◦53.8 -18◦51.319 256◦18.1 69◦00.0 -2◦45.0 89◦37.6 6◦45.2 286◦48.1 -13◦40.4 304◦56.5 -18◦51.420 271◦20.5 83◦59.9 -2◦46.3 104◦38.6 6◦44.6 301◦50.9 -13◦40.6 319◦59.1 -18◦51.421 286◦23.0 98◦59.7 -2◦47.5 119◦39.6 6◦44.0 316◦53.7 -13◦40.7 335◦01.7 -18◦51.522 301◦25.5 113◦59.5 -2◦48.8 134◦40.6 6◦43.3 331◦56.4 -13◦40.8 350◦04.4 -18◦51.523 316◦27.9 128◦59.3 -2◦50.1 149◦41.6 6◦42.7 346◦59.2 -13◦40.9 5◦07.0 -18◦51.5Mer.pass.:1:57: v-0.2 d-1.3 m-3.9 v1.0 d-0.6 m1.8 v2.8 d-0.1 m-2.7 v2.6 d-0.0 m0.2

StarsSHA Dec

Alpheratz 357◦37.3 29◦12.5Ankaa 353◦09.6 -42◦11.2

Schedar 349◦33.7 56◦39.1Diphda 348◦49.7 -17◦52.0

Achernar 335◦22.0 -57◦07.4Hamal 327◦54.2 23◦33.8Polaris 315◦12.6 89◦20.9Akamar 315◦13.8 -40◦12.9Menkar 314◦09.0 4◦10.5Mirfak 308◦32.1 49◦56.0

Aldebaran 290◦42.9 16◦33.1Rigel 281◦06.6 -8◦10.5

Capella 280◦26.1 46◦01.0Bellatrix 278◦26.0 6◦22.2Elnath 278◦05.5 28◦37.5Alnilam 275◦40.7 -1◦11.2

Betelgeuse 270◦55.2 7◦24.7Canopus 263◦54.0 -52◦42.2

Sirius 258◦28.8 -16◦44.4Adara 255◦08.3 -28◦59.9

Procyon 244◦53.9 5◦10.4Pollux 243◦20.9 27◦58.5Avior 234◦16.4 -59◦34.5Suhail 222◦48.7 -43◦31.0

Miaplacidus 221◦39.7 -69◦48.2Alphard 217◦50.8 -8◦45.0Regulus 207◦37.7 11◦51.9Dubhe 193◦45.1 61◦38.3

Denebola 182◦28.0 14◦27.3Gienah 175◦46.6 -17◦39.6Acrux 173◦03.6 -63◦13.2

Gacrux 171◦55.1 -57◦14.1Alioth 166◦15.9 55◦50.9Spica 158◦25.4 -11◦16.3Alcaid 152◦54.5 49◦12.7Hadar 148◦40.1 -60◦28.7

Menkent 148◦01.0 -36◦28.6Arcturus 145◦50.4 19◦04.8

Rigil Kent. 139◦44.2 -60◦55.6Zubenelg. 136◦59.1 -16◦07.8Kochab 137◦20.1 74◦04.4

Alphecca 126◦06.1 26◦38.8Antares 112◦19.1 -26◦28.7

Atria 107◦15.6 -69◦04.1Sabik 102◦05.8 -15◦45.0

Shaula 96◦13.9 -37◦07.2Rasalhague 96◦01.0 12◦32.9

Etamin 90◦43.2 51◦29.4Kaus Aust. 83◦35.9 -34◦22.4

Vega 80◦34.8 38◦48.4Nunki 75◦50.9 -26◦16.2Altair 62◦02.4 8◦55.6

Peacock 53◦09.5 -56◦40.0Deneb 49◦27.2 45◦21.5

Enif 33◦41.2 9◦58.5Alnair 27◦36.0 -46◦51.3

Fomalhaut 15◦17.3 -29◦30.4Scheat 13◦47.5 28◦12.0Markab 13◦32.3 15◦19.3

2021/8/2 SHA Mer.passVenus 175◦39.6 14:23Mars 194◦58.1 13:05

Jupiter 30◦08.9 00:05Saturn 48◦26.9 22:48

2021/8/2 SHA Mer.passVenus 174◦35.9 14:24Mars 194◦22.8 13:03

Jupiter 30◦16.5 00:01Saturn 48◦31.0 22:44

2021/8/2 SHA Mer.passVenus 173◦32.3 14:24Mars 193◦47.5 13:02

Jupiter 30◦24.0 23:52Saturn 48◦35.2 22:40

Horizontal paralaxVenus: 0.1Mars: 0.1

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2021 August 20 to Aug. 22

h Sun MoonFri GHA Dec GHA ν Dec d HP0 179◦08.2 12◦26.4 31◦03.7 4.9 -24◦48.3 4.4 59.01 194◦08.3 12◦25.6 45◦27.7 5.0 -24◦43.8 4.6 59.02 209◦08.5 12◦24.7 59◦51.7 5.0 -24◦39.1 4.7 59.03 224◦08.6 12◦23.9 74◦15.7 5.1 -24◦34.3 4.9 59.04 239◦08.8 12◦23.1 88◦39.9 5.2 -24◦29.3 5.1 58.95 254◦08.9 12◦22.3 103◦04.1 5.2 -24◦24.1 5.2 58.96 269◦09.1 12◦21.4 117◦28.4 5.3 -24◦18.8 5.4 58.97 284◦09.2 12◦20.6 131◦52.7 5.4 -24◦13.4 5.5 58.98 299◦09.4 12◦19.8 146◦17.1 5.5 -24◦07.8 5.7 58.99 314◦09.5 12◦18.9 160◦41.6 5.5 -24◦02.0 5.8 58.910 329◦09.7 12◦18.1 175◦06.2 5.6 -23◦56.1 6.0 58.911 344◦09.8 12◦17.3 189◦30.8 5.7 -23◦50.0 6.2 58.812 359◦10.0 12◦16.5 203◦55.5 5.8 -23◦43.8 6.3 58.813 14◦10.1 12◦15.6 218◦20.3 5.8 -23◦37.4 6.5 58.814 29◦10.3 12◦14.8 232◦45.2 5.9 -23◦30.9 6.6 58.815 44◦10.4 12◦14.0 247◦10.2 6.0 -23◦24.2 6.7 58.816 59◦10.6 12◦13.2 261◦35.2 6.1 -23◦17.4 6.9 58.817 74◦10.8 12◦12.3 276◦00.3 6.2 -23◦10.4 7.0 58.718 89◦10.9 12◦11.5 290◦25.5 6.3 -23◦03.3 7.2 58.719 104◦11.1 12◦10.7 304◦50.8 6.3 -22◦56.0 7.3 58.720 119◦11.2 12◦09.8 319◦16.2 6.4 -22◦48.7 7.5 58.721 134◦11.4 12◦09.0 333◦41.7 6.5 -22◦41.1 7.6 58.722 149◦11.5 12◦08.2 348◦07.3 6.6 -22◦33.5 7.7 58.623 164◦11.7 12◦07.3 2◦32.9 6.7 -22◦25.7 7.9 58.6

SD.=15.8 d=-0.8 S.D.=16.1

Sat GHA Dec GHA ν Dec d HP0 179◦11.8 12◦06.5 16◦58.7 6.8 -22◦17.7 8.0 58.61 194◦12.0 12◦05.7 31◦24.5 6.9 -22◦09.7 8.1 58.62 209◦12.1 12◦04.8 45◦50.4 7.0 -22◦01.5 8.3 58.63 224◦12.3 12◦04.0 60◦16.5 7.1 -21◦53.1 8.4 58.64 239◦12.5 12◦03.2 74◦42.6 7.2 -21◦44.7 8.5 58.55 254◦12.6 12◦02.3 89◦08.8 7.3 -21◦36.1 8.6 58.56 269◦12.8 12◦01.5 103◦35.1 7.4 -21◦27.4 8.8 58.57 284◦12.9 12◦00.7 118◦01.5 7.5 -21◦18.6 8.9 58.58 299◦13.1 11◦59.8 132◦28.0 7.5 -21◦09.6 9.0 58.59 314◦13.2 11◦59.0 146◦54.6 7.6 -21◦00.5 9.1 58.410 329◦13.4 11◦58.2 161◦21.3 7.7 -20◦51.3 9.3 58.411 344◦13.5 11◦57.3 175◦48.1 7.8 -20◦42.0 9.4 58.412 359◦13.7 11◦56.5 190◦15.0 7.9 -20◦32.6 9.5 58.413 14◦13.9 11◦55.7 204◦41.9 8.0 -20◦23.0 9.6 58.414 29◦14.0 11◦54.8 219◦09.0 8.1 -20◦13.4 9.7 58.315 44◦14.2 11◦54.0 233◦36.2 8.2 -20◦03.6 9.8 58.316 59◦14.3 11◦53.2 248◦03.5 8.3 -19◦53.7 9.9 58.317 74◦14.5 11◦52.3 262◦30.9 8.4 -19◦43.7 10.0 58.318 89◦14.7 11◦51.5 276◦58.3 8.5 -19◦33.7 10.1 58.219 104◦14.8 11◦50.6 291◦25.9 8.6 -19◦23.5 10.2 58.220 119◦15.0 11◦49.8 305◦53.6 8.7 -19◦13.2 10.4 58.221 134◦15.1 11◦49.0 320◦21.4 8.8 -19◦02.8 10.5 58.222 149◦15.3 11◦48.1 334◦49.3 8.9 -18◦52.2 10.6 58.223 164◦15.4 11◦47.3 349◦17.2 9.0 -18◦41.6 10.7 58.1

SD.=15.8 d=-0.8 S.D.=16.0

Sun GHA Dec GHA ν Dec d HP0 179◦15.6 11◦46.5 3◦45.3 9.1 -18◦30.9 10.7 58.11 194◦15.8 11◦45.6 18◦13.5 9.2 -18◦20.2 10.8 58.12 209◦15.9 11◦44.8 32◦41.8 9.3 -18◦09.3 10.9 58.13 224◦16.1 11◦43.9 47◦10.1 9.4 -17◦58.3 11.0 58.04 239◦16.2 11◦43.1 61◦38.6 9.5 -17◦47.2 11.1 58.05 254◦16.4 11◦42.3 76◦07.2 9.6 -17◦36.1 11.2 58.06 269◦16.6 11◦41.4 90◦35.8 9.7 -17◦24.8 11.3 58.07 284◦16.7 11◦40.6 105◦04.6 9.8 -17◦13.5 11.4 57.98 299◦16.9 11◦39.7 119◦33.5 9.9 -17◦02.1 11.5 57.99 314◦17.1 11◦38.9 134◦02.4 10.0 -16◦50.6 11.5 57.910 329◦17.2 11◦38.0 148◦31.5 10.1 -16◦39.0 11.6 57.911 344◦17.4 11◦37.2 163◦00.6 10.2 -16◦27.3 11.7 57.812 359◦17.5 11◦36.4 177◦29.9 10.3 -16◦15.6 11.8 57.813 14◦17.7 11◦35.5 191◦59.2 10.4 -16◦03.8 11.9 57.814 29◦17.9 11◦34.7 206◦28.6 10.5 -15◦51.9 11.9 57.815 44◦18.0 11◦33.8 220◦58.2 10.6 -15◦39.9 12.0 57.716 59◦18.2 11◦33.0 235◦27.8 10.7 -15◦27.9 12.1 57.717 74◦18.3 11◦32.1 249◦57.5 10.8 -15◦15.8 12.1 57.718 89◦18.5 11◦31.3 264◦27.3 10.9 -15◦03.6 12.2 57.719 104◦18.7 11◦30.4 278◦57.2 10.9 -14◦51.4 12.3 57.620 119◦18.8 11◦29.6 293◦27.2 11.0 -14◦39.1 12.3 57.621 134◦19.0 11◦28.8 307◦57.3 11.1 -14◦26.7 12.4 57.622 149◦19.2 11◦27.9 322◦27.4 11.2 -14◦14.3 12.5 57.623 164◦19.3 11◦27.1 336◦57.7 11.3 -14◦01.8 12.5 57.5

SD.=15.8 d=-0.8 S.D.=15.9

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 –:– –:– 03:04 20:58 –:– –:–70 –:– 01:46 03:27 20:36 22:12 –:–68 –:– 02:25 03:45 20:19 21:36 –:–66 –:– 02:51 03:59 20:05 21:11 –:–64 01:33 03:11 04:11 19:53 20:52 22:2662 02:08 03:27 04:21 19:44 20:37 21:5460 02:32 03:40 04:29 19:35 20:24 21:3158 02:51 03:52 04:36 19:28 20:13 21:1256 03:06 04:01 04:43 19:22 20:03 20:5854 03:19 04:10 04:49 19:16 19:55 20:4552 03:30 04:17 04:54 19:11 19:48 20:3450 03:40 04:24 04:59 19:06 19:41 20:2545 03:59 04:38 05:09 18:56 19:28 20:0640 04:14 04:49 05:17 18:48 19:17 19:5135 04:27 04:58 05:25 18:41 19:07 19:3930 04:37 05:06 05:31 18:35 18:60 19:2920 04:52 05:19 05:42 18:24 18:47 19:1310 05:04 05:30 05:51 18:15 18:36 19:020 05:14 05:39 05:60 18:06 18:28 18:52-10 05:22 05:47 06:08 17:58 18:19 18:44-20 05:29 05:55 06:17 17:49 18:12 18:37-30 05:35 06:03 06:27 17:39 18:03 18:32-35 05:38 06:07 06:33 17:33 17:59 18:29-40 05:41 06:12 06:40 17:27 17:55 18:26-45 05:43 06:17 06:47 17:19 17:49 18:24-50 05:46 06:23 06:56 17:10 17:44 18:21-52 05:47 06:26 07:01 17:06 17:41 18:21-54 05:47 06:29 07:05 17:02 17:38 18:20-56 05:48 06:32 07:10 16:57 17:35 18:19-58 05:49 06:35 07:16 16:51 17:32 18:18-60 05:50 06:39 07:22 16:45 17:28 18:17

Moonrise MoonsetLat. Fri Sat Sun Fri Sat Sun72 –:– –:– 21:58 –:– –:– –:–70 –:– 22:24 21:30 –:– –:– 01:2468 –:– 21:35 21:08 –:– –:– 02:1166 21:28 21:04 20:51 –:– 00:22 02:4164 20:44 20:41 20:37 –:– 01:06 03:0362 20:14 20:22 20:25 –:– 01:35 03:2160 19:52 20:07 20:15 00:22 01:57 03:3558 19:33 19:53 20:06 00:46 02:15 03:4856 19:18 19:42 19:58 01:05 02:30 03:5954 19:04 19:32 19:51 01:20 02:42 04:0852 18:53 19:23 19:45 01:34 02:54 04:1650 18:42 19:15 19:39 01:46 03:04 04:2445 18:21 18:58 19:27 02:11 03:24 04:4040 18:03 18:43 19:17 02:30 03:41 04:5335 17:48 18:31 19:08 02:47 03:55 05:0430 17:35 18:21 19:00 03:01 04:08 05:1320 17:13 18:03 18:47 03:25 04:28 05:3010 16:54 17:47 18:35 03:46 04:46 05:440 16:36 17:32 18:24 04:05 05:03 05:57-10 16:18 17:17 18:12 04:24 05:19 06:10-20 15:58 17:01 18:00 04:44 05:37 06:24-30 15:36 16:42 17:47 05:08 05:57 06:40-35 15:23 16:31 17:38 05:22 06:09 06:49-40 15:07 16:19 17:29 05:38 06:22 06:59-45 14:49 16:04 17:19 05:56 06:38 07:11-50 14:27 15:46 17:05 06:20 06:58 07:26-52 14:16 15:37 16:59 06:31 07:07 07:33-54 14:03 15:28 16:53 06:44 07:17 07:40-56 13:49 15:17 16:45 06:58 07:28 07:49-58 13:32 15:04 16:36 07:15 07:42 07:58-60 13:12 14:49 16:26 07:36 07:57 08:09

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower20 03:27 03:20 12:03 22:49 10:20 12(95%)21 03:13 03:05 12:03 23:44 11:17 13(99%)22 02:58 02:50 12:02 00:35 12:10 14(100%)

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August 23, 24 ,25 (Mon., Tue., Wed.)Aries Venus Mars Jupiter Saturn

Mon GHA GHA Dec GHA Dec GHA Dec GHA Dec0 331◦30.4 143◦59.1 -2◦51.4 164◦42.6 6◦42.1 2◦02.0 -13◦41.0 20◦09.6 -18◦51.61 346◦32.9 158◦58.9 -2◦52.7 179◦43.6 6◦41.4 17◦04.8 -13◦41.1 35◦12.3 -18◦51.62 1◦35.3 173◦58.7 -2◦54.0 194◦44.6 6◦40.8 32◦07.6 -13◦41.2 50◦14.9 -18◦51.73 16◦37.8 188◦58.6 -2◦55.3 209◦45.6 6◦40.2 47◦10.3 -13◦41.4 65◦17.5 -18◦51.74 31◦40.3 203◦58.4 -2◦56.5 224◦46.6 6◦39.6 62◦13.1 -13◦41.5 80◦20.2 -18◦51.85 46◦42.7 218◦58.2 -2◦57.8 239◦47.6 6◦38.9 77◦15.9 -13◦41.6 95◦22.8 -18◦51.86 61◦45.2 233◦58.0 -2◦59.1 254◦48.6 6◦38.3 92◦18.7 -13◦41.7 110◦25.4 -18◦51.97 76◦47.6 248◦57.8 -3◦00.4 269◦49.6 6◦37.7 107◦21.4 -13◦41.8 125◦28.0 -18◦51.98 91◦50.1 263◦57.6 -3◦01.7 284◦50.6 6◦37.0 122◦24.2 -13◦41.9 140◦30.7 -18◦52.09 106◦52.6 278◦57.4 -3◦03.0 299◦51.5 6◦36.4 137◦27.0 -13◦42.1 155◦33.3 -18◦52.010 121◦55.0 293◦57.3 -3◦04.3 314◦52.5 6◦35.8 152◦29.8 -13◦42.2 170◦35.9 -18◦52.011 136◦57.5 308◦57.1 -3◦05.5 329◦53.5 6◦35.1 167◦32.6 -13◦42.3 185◦38.6 -18◦52.112 151◦60.0 323◦56.9 -3◦06.8 344◦54.5 6◦34.5 182◦35.3 -13◦42.4 200◦41.2 -18◦52.113 167◦02.4 338◦56.7 -3◦08.1 359◦55.5 6◦33.9 197◦38.1 -13◦42.5 215◦43.8 -18◦52.214 182◦04.9 353◦56.5 -3◦09.4 14◦56.5 6◦33.3 212◦40.9 -13◦42.6 230◦46.5 -18◦52.215 197◦07.4 8◦56.3 -3◦10.7 29◦57.5 6◦32.6 227◦43.7 -13◦42.7 245◦49.1 -18◦52.316 212◦09.8 23◦56.2 -3◦12.0 44◦58.5 6◦32.0 242◦46.5 -13◦42.9 260◦51.7 -18◦52.317 227◦12.3 38◦56.0 -3◦13.2 59◦59.5 6◦31.4 257◦49.2 -13◦43.0 275◦54.4 -18◦52.418 242◦14.7 53◦55.8 -3◦14.5 75◦00.5 6◦30.7 272◦52.0 -13◦43.1 290◦57.0 -18◦52.419 257◦17.2 68◦55.6 -3◦15.8 90◦01.5 6◦30.1 287◦54.8 -13◦43.2 305◦59.6 -18◦52.520 272◦19.7 83◦55.4 -3◦17.1 105◦02.5 6◦29.5 302◦57.6 -13◦43.3 321◦02.3 -18◦52.521 287◦22.1 98◦55.2 -3◦18.4 120◦03.5 6◦28.8 318◦00.3 -13◦43.4 336◦04.9 -18◦52.522 302◦24.6 113◦55.0 -3◦19.7 135◦04.5 6◦28.2 333◦03.1 -13◦43.6 351◦07.5 -18◦52.623 317◦27.1 128◦54.9 -3◦21.0 150◦05.5 6◦27.6 348◦05.9 -13◦43.7 6◦10.2 -18◦52.6Mer.pass.:1:53: v-0.2 d-1.3 m-3.9 v1.0 d-0.6 m1.8 v2.8 d-0.1 m-2.7 v2.6 d-0.0 m0.3

Tue GHA GHA Dec GHA Dec GHA Dec GHA Dec0 332◦29.5 143◦54.7 -3◦22.2 165◦06.5 6◦26.9 3◦08.7 -13◦43.8 21◦12.8 -18◦52.71 347◦32.0 158◦54.5 -3◦23.5 180◦07.5 6◦26.3 18◦11.5 -13◦43.9 36◦15.4 -18◦52.72 2◦34.5 173◦54.3 -3◦24.8 195◦08.5 6◦25.7 33◦14.2 -13◦44.0 51◦18.0 -18◦52.83 17◦36.9 188◦54.1 -3◦26.1 210◦09.5 6◦25.0 48◦17.0 -13◦44.1 66◦20.7 -18◦52.84 32◦39.4 203◦53.9 -3◦27.4 225◦10.4 6◦24.4 63◦19.8 -13◦44.2 81◦23.3 -18◦52.95 47◦41.9 218◦53.8 -3◦28.7 240◦11.4 6◦23.8 78◦22.6 -13◦44.4 96◦25.9 -18◦52.96 62◦44.3 233◦53.6 -3◦29.9 255◦12.4 6◦23.2 93◦25.4 -13◦44.5 111◦28.6 -18◦52.97 77◦46.8 248◦53.4 -3◦31.2 270◦13.4 6◦22.5 108◦28.1 -13◦44.6 126◦31.2 -18◦53.08 92◦49.2 263◦53.2 -3◦32.5 285◦14.4 6◦21.9 123◦30.9 -13◦44.7 141◦33.8 -18◦53.09 107◦51.7 278◦53.0 -3◦33.8 300◦15.4 6◦21.3 138◦33.7 -13◦44.8 156◦36.5 -18◦53.110 122◦54.2 293◦52.8 -3◦35.1 315◦16.4 6◦20.6 153◦36.5 -13◦44.9 171◦39.1 -18◦53.111 137◦56.6 308◦52.7 -3◦36.4 330◦17.4 6◦20.0 168◦39.2 -13◦45.0 186◦41.7 -18◦53.212 152◦59.1 323◦52.5 -3◦37.6 345◦18.4 6◦19.4 183◦42.0 -13◦45.2 201◦44.3 -18◦53.213 168◦01.6 338◦52.3 -3◦38.9 0◦19.4 6◦18.7 198◦44.8 -13◦45.3 216◦47.0 -18◦53.314 183◦04.0 353◦52.1 -3◦40.2 15◦20.4 6◦18.1 213◦47.6 -13◦45.4 231◦49.6 -18◦53.315 198◦06.5 8◦51.9 -3◦41.5 30◦21.4 6◦17.5 228◦50.4 -13◦45.5 246◦52.2 -18◦53.416 213◦09.0 23◦51.7 -3◦42.8 45◦22.4 6◦16.8 243◦53.1 -13◦45.6 261◦54.9 -18◦53.417 228◦11.4 38◦51.6 -3◦44.1 60◦23.4 6◦16.2 258◦55.9 -13◦45.7 276◦57.5 -18◦53.418 243◦13.9 53◦51.4 -3◦45.3 75◦24.4 6◦15.6 273◦58.7 -13◦45.8 292◦00.1 -18◦53.519 258◦16.3 68◦51.2 -3◦46.6 90◦25.4 6◦14.9 289◦01.5 -13◦46.0 307◦02.8 -18◦53.520 273◦18.8 83◦51.0 -3◦47.9 105◦26.4 6◦14.3 304◦04.2 -13◦46.1 322◦05.4 -18◦53.621 288◦21.3 98◦50.8 -3◦49.2 120◦27.4 6◦13.7 319◦07.0 -13◦46.2 337◦08.0 -18◦53.622 303◦23.7 113◦50.6 -3◦50.5 135◦28.4 6◦13.0 334◦09.8 -13◦46.3 352◦10.6 -18◦53.723 318◦26.2 128◦50.4 -3◦51.7 150◦29.4 6◦12.4 349◦12.6 -13◦46.4 7◦13.3 -18◦53.7Mer.pass.:1:49: v-0.2 d-1.3 m-3.9 v1.0 d-0.6 m1.8 v2.8 d-0.1 m-2.7 v2.6 d-0.0 m0.3

Wed GHA GHA Dec GHA Dec GHA Dec GHA Dec0 333◦28.7 143◦50.3 -3◦53.0 165◦30.3 6◦11.8 4◦15.4 -13◦46.5 22◦15.9 -18◦53.81 348◦31.1 158◦50.1 -3◦54.3 180◦31.3 6◦11.1 19◦18.1 -13◦46.6 37◦18.5 -18◦53.82 3◦33.6 173◦49.9 -3◦55.6 195◦32.3 6◦10.5 34◦20.9 -13◦46.8 52◦21.2 -18◦53.83 18◦36.1 188◦49.7 -3◦56.9 210◦33.3 6◦09.9 49◦23.7 -13◦46.9 67◦23.8 -18◦53.94 33◦38.5 203◦49.5 -3◦58.2 225◦34.3 6◦09.2 64◦26.5 -13◦47.0 82◦26.4 -18◦53.95 48◦41.0 218◦49.3 -3◦59.4 240◦35.3 6◦08.6 79◦29.2 -13◦47.1 97◦29.0 -18◦54.06 63◦43.5 233◦49.2 -4◦00.7 255◦36.3 6◦08.0 94◦32.0 -13◦47.2 112◦31.7 -18◦54.07 78◦45.9 248◦49.0 -4◦02.0 270◦37.3 6◦07.3 109◦34.8 -13◦47.3 127◦34.3 -18◦54.18 93◦48.4 263◦48.8 -4◦03.3 285◦38.3 6◦06.7 124◦37.6 -13◦47.4 142◦36.9 -18◦54.19 108◦50.8 278◦48.6 -4◦04.6 300◦39.3 6◦06.1 139◦40.3 -13◦47.6 157◦39.6 -18◦54.210 123◦53.3 293◦48.4 -4◦05.8 315◦40.3 6◦05.4 154◦43.1 -13◦47.7 172◦42.2 -18◦54.211 138◦55.8 308◦48.2 -4◦07.1 330◦41.3 6◦04.8 169◦45.9 -13◦47.8 187◦44.8 -18◦54.212 153◦58.2 323◦48.1 -4◦08.4 345◦42.3 6◦04.2 184◦48.7 -13◦47.9 202◦47.4 -18◦54.313 169◦00.7 338◦47.9 -4◦09.7 0◦43.3 6◦03.5 199◦51.5 -13◦48.0 217◦50.1 -18◦54.314 184◦03.2 353◦47.7 -4◦11.0 15◦44.3 6◦02.9 214◦54.2 -13◦48.1 232◦52.7 -18◦54.415 199◦05.6 8◦47.5 -4◦12.2 30◦45.3 6◦02.3 229◦57.0 -13◦48.2 247◦55.3 -18◦54.416 214◦08.1 23◦47.3 -4◦13.5 45◦46.3 6◦01.6 244◦59.8 -13◦48.3 262◦57.9 -18◦54.517 229◦10.6 38◦47.1 -4◦14.8 60◦47.3 6◦01.0 260◦02.6 -13◦48.5 278◦00.6 -18◦54.518 244◦13.0 53◦46.9 -4◦16.1 75◦48.3 6◦00.4 275◦05.3 -13◦48.6 293◦03.2 -18◦54.519 259◦15.5 68◦46.8 -4◦17.4 90◦49.3 5◦59.7 290◦08.1 -13◦48.7 308◦05.8 -18◦54.620 274◦18.0 83◦46.6 -4◦18.6 105◦50.3 5◦59.1 305◦10.9 -13◦48.8 323◦08.5 -18◦54.621 289◦20.4 98◦46.4 -4◦19.9 120◦51.3 5◦58.5 320◦13.7 -13◦48.9 338◦11.1 -18◦54.722 304◦22.9 113◦46.2 -4◦21.2 135◦52.2 5◦57.8 335◦16.4 -13◦49.0 353◦13.7 -18◦54.723 319◦25.3 128◦46.0 -4◦22.5 150◦53.2 5◦57.2 350◦19.2 -13◦49.1 8◦16.3 -18◦54.8Mer.pass.:1:45: v-0.2 d-1.3 m-3.9 v1.0 d-0.6 m1.8 v2.8 d-0.1 m-2.7 v2.6 d-0.0 m0.3

StarsSHA Dec

Alpheratz 357◦37.3 29◦12.5Ankaa 353◦09.5 -42◦11.2

Schedar 349◦33.7 56◦39.2Diphda 348◦49.7 -17◦52.0

Achernar 335◦22.0 -57◦07.4Hamal 327◦54.1 23◦33.8Polaris 315◦11.3 89◦21.0Akamar 315◦13.8 -40◦12.9Menkar 314◦08.9 4◦10.5Mirfak 308◦32.1 49◦56.0

Aldebaran 290◦42.8 16◦33.1Rigel 281◦06.6 -8◦10.5

Capella 280◦26.1 46◦01.0Bellatrix 278◦25.9 6◦22.2Elnath 278◦05.5 28◦37.5Alnilam 275◦40.7 -1◦11.2

Betelgeuse 270◦55.2 7◦24.7Canopus 263◦53.9 -52◦42.1

Sirius 258◦28.8 -16◦44.4Adara 255◦08.3 -28◦59.9

Procyon 244◦53.9 5◦10.4Pollux 243◦20.9 27◦58.5Avior 234◦16.4 -59◦34.5Suhail 222◦48.7 -43◦31.0

Miaplacidus 221◦39.7 -69◦48.2Alphard 217◦50.8 -8◦45.0Regulus 207◦37.7 11◦51.9Dubhe 193◦45.1 61◦38.3

Denebola 182◦28.0 14◦27.3Gienah 175◦46.7 -17◦39.6Acrux 173◦03.7 -63◦13.2

Gacrux 171◦55.1 -57◦14.1Alioth 166◦15.9 55◦50.9Spica 158◦25.4 -11◦16.3Alcaid 152◦54.5 49◦12.7Hadar 148◦40.2 -60◦28.7

Menkent 148◦01.0 -36◦28.6Arcturus 145◦50.4 19◦04.8

Rigil Kent. 139◦44.3 -60◦55.6Zubenelg. 136◦59.2 -16◦07.8Kochab 137◦20.2 74◦04.4

Alphecca 126◦06.1 26◦38.8Antares 112◦19.1 -26◦28.8

Atria 107◦15.7 -69◦04.1Sabik 102◦05.8 -15◦45.0

Shaula 96◦13.9 -37◦07.2Rasalhague 96◦01.0 12◦32.9

Etamin 90◦43.2 51◦29.5Kaus Aust. 83◦35.9 -34◦22.5

Vega 80◦34.8 38◦48.4Nunki 75◦50.9 -26◦16.2Altair 62◦02.4 8◦55.6

Peacock 53◦09.5 -56◦40.0Deneb 49◦27.2 45◦21.6

Enif 33◦41.2 9◦58.5Alnair 27◦36.0 -46◦51.3

Fomalhaut 15◦17.3 -29◦30.4Scheat 13◦47.5 28◦12.0Markab 13◦32.3 15◦19.3

2021/8/2 SHA Mer.passVenus 172◦28.7 14:24Mars 193◦12.2 13:00

Jupiter 30◦31.6 23:47Saturn 48◦39.2 22:35

2021/8/2 SHA Mer.passVenus 171◦25.1 14:25Mars 192◦36.9 12:59

Jupiter 30◦39.2 23:43Saturn 48◦43.3 22:31

2021/8/2 SHA Mer.passVenus 170◦21.6 14:25Mars 192◦01.7 12:57

Jupiter 30◦46.7 23:39Saturn 48◦47.2 22:27

Horizontal paralaxVenus: 0.1Mars: 0.1

158

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2021 August 23 to Aug. 25

h Sun MoonMon GHA Dec GHA ν Dec d HP0 179◦19.5 11◦26.2 351◦28.0 11.4 -13◦49.2 12.6 57.51 194◦19.7 11◦25.4 5◦58.5 11.5 -13◦36.6 12.6 57.52 209◦19.8 11◦24.5 20◦29.0 11.6 -13◦24.0 12.7 57.53 224◦20.0 11◦23.7 34◦59.6 11.7 -13◦11.2 12.7 57.44 239◦20.1 11◦22.8 49◦30.3 11.7 -12◦58.5 12.8 57.45 254◦20.3 11◦22.0 64◦01.1 11.8 -12◦45.6 12.9 57.46 269◦20.5 11◦21.1 78◦31.9 11.9 -12◦32.8 12.9 57.47 284◦20.6 11◦20.3 93◦02.9 12.0 -12◦19.8 13.0 57.38 299◦20.8 11◦19.4 107◦33.9 12.1 -12◦06.9 13.0 57.39 314◦21.0 11◦18.6 122◦05.0 12.2 -11◦53.8 13.0 57.310 329◦21.1 11◦17.7 136◦36.2 12.2 -11◦40.8 13.1 57.211 344◦21.3 11◦16.9 151◦07.5 12.3 -11◦27.7 13.1 57.212 359◦21.5 11◦16.0 165◦38.8 12.4 -11◦14.5 13.2 57.213 14◦21.6 11◦15.2 180◦10.3 12.5 -11◦01.3 13.2 57.214 29◦21.8 11◦14.3 194◦41.8 12.5 -10◦48.1 13.3 57.115 44◦22.0 11◦13.5 209◦13.4 12.6 -10◦34.8 13.3 57.116 59◦22.1 11◦12.6 223◦45.0 12.7 -10◦21.5 13.3 57.117 74◦22.3 11◦11.8 238◦16.8 12.8 -10◦08.1 13.4 57.118 89◦22.5 11◦10.9 252◦48.6 12.8 -9◦54.8 13.4 57.019 104◦22.6 11◦10.1 267◦20.4 12.9 -9◦41.3 13.4 57.020 119◦22.8 11◦09.2 281◦52.4 13.0 -9◦27.9 13.5 57.021 134◦23.0 11◦08.4 296◦24.4 13.1 -9◦14.4 13.5 56.922 149◦23.1 11◦07.5 310◦56.5 13.1 -9◦00.9 13.5 56.923 164◦23.3 11◦06.7 325◦28.7 13.2 -8◦47.4 13.5 56.9

SD.=15.8 d=-0.8 S.D.=15.7

Tue GHA Dec GHA ν Dec d HP0 179◦23.5 11◦05.8 340◦00.9 13.3 -8◦33.8 13.6 56.91 194◦23.7 11◦04.9 354◦33.2 13.3 -8◦20.2 13.6 56.82 209◦23.8 11◦04.1 9◦05.5 13.4 -8◦06.6 13.6 56.83 224◦24.0 11◦03.2 23◦38.0 13.5 -7◦53.0 13.6 56.84 239◦24.2 11◦02.4 38◦10.4 13.5 -7◦39.3 13.7 56.75 254◦24.3 11◦01.5 52◦43.0 13.6 -7◦25.7 13.7 56.76 269◦24.5 11◦00.7 67◦15.6 13.6 -7◦12.0 13.7 56.77 284◦24.7 10◦59.8 81◦48.3 13.7 -6◦58.2 13.7 56.78 299◦24.8 10◦58.9 96◦21.0 13.8 -6◦44.5 13.7 56.69 314◦25.0 10◦58.1 110◦53.8 13.8 -6◦30.8 13.8 56.610 329◦25.2 10◦57.2 125◦26.7 13.9 -6◦17.0 13.8 56.611 344◦25.4 10◦56.4 139◦59.6 13.9 -6◦03.2 13.8 56.612 359◦25.5 10◦55.5 154◦32.5 14.0 -5◦49.4 13.8 56.513 14◦25.7 10◦54.7 169◦05.5 14.0 -5◦35.6 13.8 56.514 29◦25.9 10◦53.8 183◦38.6 14.1 -5◦21.8 13.8 56.515 44◦26.0 10◦52.9 198◦11.7 14.1 -5◦08.0 13.8 56.416 59◦26.2 10◦52.1 212◦44.9 14.2 -4◦54.2 13.8 56.417 74◦26.4 10◦51.2 227◦18.1 14.3 -4◦40.3 13.8 56.418 89◦26.5 10◦50.4 241◦51.4 14.3 -4◦26.5 13.8 56.419 104◦26.7 10◦49.5 256◦24.7 14.3 -4◦12.6 13.9 56.320 119◦26.9 10◦48.6 270◦58.1 14.4 -3◦58.8 13.9 56.321 134◦27.1 10◦47.8 285◦31.5 14.4 -3◦44.9 13.9 56.322 149◦27.2 10◦46.9 300◦05.0 14.5 -3◦31.1 13.9 56.323 164◦27.4 10◦46.1 314◦38.5 14.5 -3◦17.2 13.9 56.2

SD.=15.8 d=-0.9 S.D.=15.5

Wed GHA Dec GHA ν Dec d HP0 179◦27.6 10◦45.2 329◦12.1 14.6 -3◦03.4 13.9 56.21 194◦27.8 10◦44.3 343◦45.6 14.6 -2◦49.5 13.9 56.22 209◦27.9 10◦43.5 358◦19.3 14.7 -2◦35.6 13.9 56.13 224◦28.1 10◦42.6 12◦53.0 14.7 -2◦21.8 13.9 56.14 239◦28.3 10◦41.8 27◦26.7 14.7 -2◦07.9 13.8 56.15 254◦28.4 10◦40.9 42◦00.4 14.8 -1◦54.1 13.8 56.16 269◦28.6 10◦40.0 56◦34.2 14.8 -1◦40.3 13.8 56.07 284◦28.8 10◦39.2 71◦08.0 14.8 -1◦26.4 13.8 56.08 299◦29.0 10◦38.3 85◦41.9 14.9 -1◦12.6 13.8 56.09 314◦29.1 10◦37.4 100◦15.8 14.9 -0◦58.8 13.8 56.010 329◦29.3 10◦36.6 114◦49.7 14.9 -0◦45.0 13.8 55.911 344◦29.5 10◦35.7 129◦23.7 15.0 -0◦31.2 13.8 55.912 359◦29.7 10◦34.8 143◦57.7 15.0 -0◦17.4 13.8 55.913 14◦29.8 10◦34.0 158◦31.7 15.0 -0◦03.6 13.8 55.914 29◦30.0 10◦33.1 173◦05.7 15.1 0◦10.1 13.8 55.815 44◦30.2 10◦32.2 187◦39.8 15.1 0◦23.9 13.7 55.816 59◦30.4 10◦31.4 202◦13.9 15.1 0◦37.6 13.7 55.817 74◦30.5 10◦30.5 216◦48.0 15.1 0◦51.3 13.7 55.818 89◦30.7 10◦29.6 231◦22.2 15.2 1◦05.0 13.7 55.719 104◦30.9 10◦28.8 245◦56.4 15.2 1◦18.7 13.7 55.720 119◦31.1 10◦27.9 260◦30.6 15.2 1◦32.3 13.7 55.721 134◦31.3 10◦27.0 275◦04.8 15.2 1◦46.0 13.6 55.722 149◦31.4 10◦26.2 289◦39.0 15.3 1◦59.6 13.6 55.623 164◦31.6 10◦25.3 304◦13.3 15.3 2◦13.2 13.6 55.6

SD.=15.8 d=-0.9 S.D.=15.3

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 –:– 01:17 03:21 20:40 22:36 –:–70 –:– 02:10 03:41 20:20 21:48 –:–68 –:– 02:42 03:56 20:05 21:19 –:–66 01:07 03:05 04:09 19:53 20:57 22:4864 01:54 03:22 04:20 19:43 20:40 22:0562 02:23 03:37 04:29 19:34 20:26 21:3860 02:44 03:49 04:36 19:27 20:14 21:1858 03:01 03:59 04:43 19:20 20:04 21:0156 03:15 04:08 04:49 19:14 19:55 20:4854 03:26 04:16 04:54 19:09 19:48 20:3652 03:37 04:22 04:59 19:05 19:41 20:2650 03:46 04:29 05:03 19:00 19:35 20:1845 04:04 04:42 05:13 18:51 19:22 19:6040 04:18 04:52 05:20 18:44 19:12 19:4635 04:29 05:01 05:27 18:37 19:03 19:3530 04:39 05:08 05:33 18:32 18:56 19:2520 04:53 05:20 05:43 18:22 18:44 19:1110 05:05 05:30 05:51 18:13 18:35 18:600 05:13 05:38 05:59 18:06 18:27 18:51-10 05:21 05:45 06:07 17:58 18:19 18:44-20 05:27 05:53 06:15 17:50 18:12 18:38-30 05:32 05:60 06:24 17:41 18:05 18:33-35 05:34 06:04 06:30 17:36 18:01 18:31-40 05:36 06:08 06:35 17:30 17:57 18:29-45 05:38 06:12 06:42 17:23 17:53 18:27-50 05:40 06:18 06:51 17:15 17:48 18:25-52 05:41 06:20 06:54 17:11 17:46 18:25-54 05:41 06:22 06:58 17:07 17:43 18:24-56 05:42 06:25 07:03 17:02 17:41 18:24-58 05:42 06:28 07:08 16:57 17:38 18:24-60 05:43 06:31 07:14 16:52 17:35 18:23

Moonrise MoonsetLat. Mon Tue Wed Mon Tue Wed72 21:16 20:46 20:20 03:37 05:58 08:0170 21:02 20:41 20:22 04:03 06:09 08:0368 20:51 20:37 20:24 04:23 06:18 08:0466 20:42 20:33 20:25 04:39 06:26 08:0664 20:34 20:30 20:26 04:51 06:32 08:0762 20:27 20:27 20:27 05:02 06:37 08:0860 20:21 20:25 20:28 05:11 06:42 08:0858 20:15 20:23 20:29 05:19 06:46 08:0956 20:11 20:21 20:30 05:26 06:50 08:1054 20:06 20:19 20:30 05:32 06:53 08:1052 20:03 20:17 20:31 05:38 06:56 08:1150 19:59 20:16 20:32 05:43 06:58 08:1145 19:51 20:13 20:33 05:53 07:04 08:1240 19:45 20:10 20:34 06:02 07:09 08:1335 19:40 20:08 20:35 06:10 07:13 08:1430 19:35 20:06 20:36 06:16 07:17 08:1420 19:26 20:02 20:37 06:28 07:23 08:1610 19:19 19:59 20:38 06:38 07:28 08:160 19:11 19:56 20:40 06:47 07:33 08:17-10 19:04 19:54 20:41 06:56 07:38 08:18-20 18:57 19:50 20:42 07:06 07:44 08:19-30 18:48 19:47 20:44 07:17 07:49 08:20-35 18:43 19:45 20:45 07:23 07:53 08:20-40 18:37 19:43 20:46 07:30 07:57 08:21-45 18:31 19:40 20:47 07:38 08:01 08:22-50 18:23 19:37 20:48 07:48 08:06 08:23-52 18:19 19:35 20:49 07:53 08:09 08:23-54 18:15 19:34 20:50 07:58 08:11 08:23-56 18:10 19:32 20:50 08:03 08:14 08:24-58 18:05 19:30 20:51 08:09 08:17 08:24-60 17:59 19:28 20:52 08:16 08:21 08:25

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower23 02:42 02:34 12:02 00:35 12:59 15(99%)24 02:26 02:18 12:02 01:22 13:44 16(95%)25 02:10 02:01 12:02 02:06 14:28 17(90%)

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August 26, 27 ,28 (Thu., Fri., Sat.)Aries Venus Mars Jupiter Saturn

Thu GHA GHA Dec GHA Dec GHA Dec GHA Dec0 334◦27.8 143◦45.8 -4◦23.8 165◦54.2 5◦56.5 5◦22.0 -13◦49.3 23◦19.0 -18◦54.81 349◦30.3 158◦45.7 -4◦25.0 180◦55.2 5◦55.9 20◦24.8 -13◦49.4 38◦21.6 -18◦54.92 4◦32.7 173◦45.5 -4◦26.3 195◦56.2 5◦55.3 35◦27.6 -13◦49.5 53◦24.2 -18◦54.93 19◦35.2 188◦45.3 -4◦27.6 210◦57.2 5◦54.6 50◦30.3 -13◦49.6 68◦26.8 -18◦54.94 34◦37.7 203◦45.1 -4◦28.9 225◦58.2 5◦54.0 65◦33.1 -13◦49.7 83◦29.5 -18◦55.05 49◦40.1 218◦44.9 -4◦30.1 240◦59.2 5◦53.4 80◦35.9 -13◦49.8 98◦32.1 -18◦55.06 64◦42.6 233◦44.7 -4◦31.4 256◦00.2 5◦52.7 95◦38.7 -13◦49.9 113◦34.7 -18◦55.17 79◦45.1 248◦44.6 -4◦32.7 271◦01.2 5◦52.1 110◦41.4 -13◦50.0 128◦37.3 -18◦55.18 94◦47.5 263◦44.4 -4◦34.0 286◦02.2 5◦51.5 125◦44.2 -13◦50.2 143◦40.0 -18◦55.29 109◦50.0 278◦44.2 -4◦35.3 301◦03.2 5◦50.8 140◦47.0 -13◦50.3 158◦42.6 -18◦55.210 124◦52.4 293◦44.0 -4◦36.5 316◦04.2 5◦50.2 155◦49.8 -13◦50.4 173◦45.2 -18◦55.211 139◦54.9 308◦43.8 -4◦37.8 331◦05.2 5◦49.6 170◦52.5 -13◦50.5 188◦47.9 -18◦55.312 154◦57.4 323◦43.6 -4◦39.1 346◦06.2 5◦48.9 185◦55.3 -13◦50.6 203◦50.5 -18◦55.313 169◦59.8 338◦43.4 -4◦40.4 1◦07.2 5◦48.3 200◦58.1 -13◦50.7 218◦53.1 -18◦55.414 185◦02.3 353◦43.3 -4◦41.6 16◦08.2 5◦47.6 216◦00.9 -13◦50.8 233◦55.7 -18◦55.415 200◦04.8 8◦43.1 -4◦42.9 31◦09.2 5◦47.0 231◦03.6 -13◦50.9 248◦58.4 -18◦55.516 215◦07.2 23◦42.9 -4◦44.2 46◦10.2 5◦46.4 246◦06.4 -13◦51.1 264◦01.0 -18◦55.517 230◦09.7 38◦42.7 -4◦45.5 61◦11.2 5◦45.7 261◦09.2 -13◦51.2 279◦03.6 -18◦55.618 245◦12.2 53◦42.5 -4◦46.7 76◦12.2 5◦45.1 276◦12.0 -13◦51.3 294◦06.2 -18◦55.619 260◦14.6 68◦42.3 -4◦48.0 91◦13.2 5◦44.5 291◦14.7 -13◦51.4 309◦08.9 -18◦55.620 275◦17.1 83◦42.2 -4◦49.3 106◦14.2 5◦43.8 306◦17.5 -13◦51.5 324◦11.5 -18◦55.721 290◦19.6 98◦42.0 -4◦50.6 121◦15.1 5◦43.2 321◦20.3 -13◦51.6 339◦14.1 -18◦55.722 305◦22.0 113◦41.8 -4◦51.9 136◦16.1 5◦42.6 336◦23.1 -13◦51.7 354◦16.7 -18◦55.823 320◦24.5 128◦41.6 -4◦53.1 151◦17.1 5◦41.9 351◦25.8 -13◦51.8 9◦19.4 -18◦55.8Mer.pass.:1:41: v-0.2 d-1.3 m-3.9 v1.0 d-0.6 m1.8 v2.8 d-0.1 m-2.7 v2.6 d-0.0 m0.3

Fri GHA GHA Dec GHA Dec GHA Dec GHA Dec0 335◦26.9 143◦41.4 -4◦54.4 166◦18.1 5◦41.3 6◦28.6 -13◦52.0 24◦22.0 -18◦55.91 350◦29.4 158◦41.2 -4◦55.7 181◦19.1 5◦40.6 21◦31.4 -13◦52.1 39◦24.6 -18◦55.92 5◦31.9 173◦41.0 -4◦57.0 196◦20.1 5◦40.0 36◦34.2 -13◦52.2 54◦27.2 -18◦55.93 20◦34.3 188◦40.9 -4◦58.2 211◦21.1 5◦39.4 51◦36.9 -13◦52.3 69◦29.9 -18◦56.04 35◦36.8 203◦40.7 -4◦59.5 226◦22.1 5◦38.7 66◦39.7 -13◦52.4 84◦32.5 -18◦56.05 50◦39.3 218◦40.5 -5◦00.8 241◦23.1 5◦38.1 81◦42.5 -13◦52.5 99◦35.1 -18◦56.16 65◦41.7 233◦40.3 -5◦02.1 256◦24.1 5◦37.5 96◦45.3 -13◦52.6 114◦37.7 -18◦56.17 80◦44.2 248◦40.1 -5◦03.3 271◦25.1 5◦36.8 111◦48.0 -13◦52.7 129◦40.3 -18◦56.28 95◦46.7 263◦39.9 -5◦04.6 286◦26.1 5◦36.2 126◦50.8 -13◦52.9 144◦43.0 -18◦56.29 110◦49.1 278◦39.7 -5◦05.9 301◦27.1 5◦35.5 141◦53.6 -13◦53.0 159◦45.6 -18◦56.210 125◦51.6 293◦39.6 -5◦07.2 316◦28.1 5◦34.9 156◦56.4 -13◦53.1 174◦48.2 -18◦56.311 140◦54.0 308◦39.4 -5◦08.4 331◦29.1 5◦34.3 171◦59.1 -13◦53.2 189◦50.8 -18◦56.312 155◦56.5 323◦39.2 -5◦09.7 346◦30.1 5◦33.6 187◦01.9 -13◦53.3 204◦53.5 -18◦56.413 170◦59.0 338◦39.0 -5◦11.0 1◦31.1 5◦33.0 202◦04.7 -13◦53.4 219◦56.1 -18◦56.414 186◦01.4 353◦38.8 -5◦12.2 16◦32.1 5◦32.4 217◦07.5 -13◦53.5 234◦58.7 -18◦56.515 201◦03.9 8◦38.6 -5◦13.5 31◦33.1 5◦31.7 232◦10.2 -13◦53.6 250◦01.3 -18◦56.516 216◦06.4 23◦38.5 -5◦14.8 46◦34.1 5◦31.1 247◦13.0 -13◦53.8 265◦04.0 -18◦56.517 231◦08.8 38◦38.3 -5◦16.1 61◦35.1 5◦30.4 262◦15.8 -13◦53.9 280◦06.6 -18◦56.618 246◦11.3 53◦38.1 -5◦17.3 76◦36.1 5◦29.8 277◦18.6 -13◦54.0 295◦09.2 -18◦56.619 261◦13.8 68◦37.9 -5◦18.6 91◦37.1 5◦29.2 292◦21.3 -13◦54.1 310◦11.8 -18◦56.720 276◦16.2 83◦37.7 -5◦19.9 106◦38.1 5◦28.5 307◦24.1 -13◦54.2 325◦14.4 -18◦56.721 291◦18.7 98◦37.5 -5◦21.2 121◦39.0 5◦27.9 322◦26.9 -13◦54.3 340◦17.1 -18◦56.822 306◦21.2 113◦37.3 -5◦22.4 136◦40.0 5◦27.3 337◦29.7 -13◦54.4 355◦19.7 -18◦56.823 321◦23.6 128◦37.2 -5◦23.7 151◦41.0 5◦26.6 352◦32.4 -13◦54.5 10◦22.3 -18◦56.8Mer.pass.:1:37: v-0.2 d-1.3 m-3.9 v1.0 d-0.6 m1.8 v2.8 d-0.1 m-2.7 v2.6 d-0.0 m0.3

Sat GHA GHA Dec GHA Dec GHA Dec GHA Dec0 336◦26.1 143◦37.0 -5◦25.0 166◦42.0 5◦26.0 7◦35.2 -13◦54.6 25◦24.9 -18◦56.91 351◦28.5 158◦36.8 -5◦26.2 181◦43.0 5◦25.3 22◦38.0 -13◦54.8 40◦27.6 -18◦56.92 6◦31.0 173◦36.6 -5◦27.5 196◦44.0 5◦24.7 37◦40.8 -13◦54.9 55◦30.2 -18◦57.03 21◦33.5 188◦36.4 -5◦28.8 211◦45.0 5◦24.1 52◦43.5 -13◦55.0 70◦32.8 -18◦57.04 36◦35.9 203◦36.2 -5◦30.1 226◦46.0 5◦23.4 67◦46.3 -13◦55.1 85◦35.4 -18◦57.05 51◦38.4 218◦36.0 -5◦31.3 241◦47.0 5◦22.8 82◦49.1 -13◦55.2 100◦38.0 -18◦57.16 66◦40.9 233◦35.8 -5◦32.6 256◦48.0 5◦22.1 97◦51.8 -13◦55.3 115◦40.7 -18◦57.17 81◦43.3 248◦35.7 -5◦33.9 271◦49.0 5◦21.5 112◦54.6 -13◦55.4 130◦43.3 -18◦57.28 96◦45.8 263◦35.5 -5◦35.1 286◦50.0 5◦20.9 127◦57.4 -13◦55.5 145◦45.9 -18◦57.29 111◦48.3 278◦35.3 -5◦36.4 301◦51.0 5◦20.2 143◦00.2 -13◦55.6 160◦48.5 -18◦57.310 126◦50.7 293◦35.1 -5◦37.7 316◦52.0 5◦19.6 158◦02.9 -13◦55.8 175◦51.2 -18◦57.311 141◦53.2 308◦34.9 -5◦39.0 331◦53.0 5◦19.0 173◦05.7 -13◦55.9 190◦53.8 -18◦57.312 156◦55.6 323◦34.7 -5◦40.2 346◦54.0 5◦18.3 188◦08.5 -13◦56.0 205◦56.4 -18◦57.413 171◦58.1 338◦34.5 -5◦41.5 1◦55.0 5◦17.7 203◦11.3 -13◦56.1 220◦59.0 -18◦57.414 187◦00.6 353◦34.4 -5◦42.8 16◦56.0 5◦17.0 218◦14.0 -13◦56.2 236◦01.6 -18◦57.515 202◦03.0 8◦34.2 -5◦44.0 31◦57.0 5◦16.4 233◦16.8 -13◦56.3 251◦04.3 -18◦57.516 217◦05.5 23◦34.0 -5◦45.3 46◦58.0 5◦15.8 248◦19.6 -13◦56.4 266◦06.9 -18◦57.617 232◦08.0 38◦33.8 -5◦46.6 61◦59.0 5◦15.1 263◦22.3 -13◦56.5 281◦09.5 -18◦57.618 247◦10.4 53◦33.6 -5◦47.8 76◦60.0 5◦14.5 278◦25.1 -13◦56.6 296◦12.1 -18◦57.619 262◦12.9 68◦33.4 -5◦49.1 92◦01.0 5◦13.8 293◦27.9 -13◦56.8 311◦14.7 -18◦57.720 277◦15.4 83◦33.2 -5◦50.4 107◦02.0 5◦13.2 308◦30.7 -13◦56.9 326◦17.4 -18◦57.721 292◦17.8 98◦33.1 -5◦51.6 122◦03.0 5◦12.6 323◦33.4 -13◦57.0 341◦20.0 -18◦57.822 307◦20.3 113◦32.9 -5◦52.9 137◦04.0 5◦11.9 338◦36.2 -13◦57.1 356◦22.6 -18◦57.823 322◦22.8 128◦32.7 -5◦54.2 152◦04.9 5◦11.3 353◦39.0 -13◦57.2 11◦25.2 -18◦57.8Mer.pass.:1:34: v-0.2 d-1.3 m-3.9 v1.0 d-0.6 m1.8 v2.8 d-0.1 m-2.7 v2.6 d-0.0 m0.3

StarsSHA Dec

Alpheratz 357◦37.3 29◦12.6Ankaa 353◦09.5 -42◦11.2

Schedar 349◦33.7 56◦39.2Diphda 348◦49.7 -17◦52.0

Achernar 335◦21.9 -57◦07.4Hamal 327◦54.1 23◦33.8Polaris 315◦09.9 89◦21.0Akamar 315◦13.7 -40◦12.9Menkar 314◦08.9 4◦10.5Mirfak 308◦32.1 49◦56.0

Aldebaran 290◦42.8 16◦33.1Rigel 281◦06.6 -8◦10.5

Capella 280◦26.1 46◦01.0Bellatrix 278◦25.9 6◦22.2Elnath 278◦05.5 28◦37.5Alnilam 275◦40.6 -1◦11.2

Betelgeuse 270◦55.2 7◦24.7Canopus 263◦53.9 -52◦42.1

Sirius 258◦28.8 -16◦44.4Adara 255◦08.3 -28◦59.9

Procyon 244◦53.9 5◦10.4Pollux 243◦20.9 27◦58.5Avior 234◦16.4 -59◦34.5Suhail 222◦48.7 -43◦31.0

Miaplacidus 221◦39.7 -69◦48.2Alphard 217◦50.8 -8◦45.0Regulus 207◦37.7 11◦51.9Dubhe 193◦45.1 61◦38.3

Denebola 182◦28.0 14◦27.3Gienah 175◦46.7 -17◦39.6Acrux 173◦03.7 -63◦13.1

Gacrux 171◦55.1 -57◦14.0Alioth 166◦15.9 55◦50.9Spica 158◦25.4 -11◦16.3Alcaid 152◦54.5 49◦12.7Hadar 148◦40.2 -60◦28.7

Menkent 148◦01.1 -36◦28.5Arcturus 145◦50.5 19◦04.8

Rigil Kent. 139◦44.3 -60◦55.6Zubenelg. 136◦59.2 -16◦07.8Kochab 137◦20.2 74◦04.4

Alphecca 126◦06.2 26◦38.8Antares 112◦19.2 -26◦28.7

Atria 107◦15.7 -69◦04.1Sabik 102◦05.8 -15◦45.0

Shaula 96◦14.0 -37◦07.2Rasalhague 96◦01.0 12◦32.9

Etamin 90◦43.2 51◦29.5Kaus Aust. 83◦35.9 -34◦22.5

Vega 80◦34.9 38◦48.4Nunki 75◦50.9 -26◦16.2Altair 62◦02.4 8◦55.6

Peacock 53◦09.6 -56◦40.0Deneb 49◦27.2 45◦21.6

Enif 33◦41.2 9◦58.5Alnair 27◦36.0 -46◦51.3

Fomalhaut 15◦17.3 -29◦30.4Scheat 13◦47.5 28◦12.0Markab 13◦32.3 15◦19.3

2021/8/2 SHA Mer.passVenus 169◦18.0 14:25Mars 191◦26.4 12:56

Jupiter 30◦54.2 23:34Saturn 48◦51.2 22:23

2021/8/2 SHA Mer.passVenus 168◦14.5 14:25Mars 190◦51.2 12:54

Jupiter 31◦01.7 23:30Saturn 48◦55.0 22:19

2021/8/2 SHA Mer.passVenus 167◦10.9 14:26Mars 190◦16.0 12:52

Jupiter 31◦09.1 23:25Saturn 48◦58.9 22:14

Horizontal paralaxVenus: 0.1Mars: 0.1

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2021 August 26 to Aug. 28

h Sun MoonThu GHA Dec GHA ν Dec d HP0 179◦31.8 10◦24.4 318◦47.6 15.3 2◦26.8 13.6 55.61 194◦32.0 10◦23.6 333◦21.9 15.3 2◦40.3 13.5 55.62 209◦32.1 10◦22.7 347◦56.2 15.3 2◦53.9 13.5 55.53 224◦32.3 10◦21.8 2◦30.5 15.3 3◦07.4 13.5 55.54 239◦32.5 10◦21.0 17◦04.9 15.4 3◦20.9 13.5 55.55 254◦32.7 10◦20.1 31◦39.2 15.4 3◦34.3 13.4 55.56 269◦32.8 10◦19.2 46◦13.6 15.4 3◦47.8 13.4 55.47 284◦33.0 10◦18.3 60◦48.0 15.4 4◦01.2 13.4 55.48 299◦33.2 10◦17.5 75◦22.4 15.4 4◦14.5 13.4 55.49 314◦33.4 10◦16.6 89◦56.8 15.4 4◦27.9 13.3 55.410 329◦33.6 10◦15.7 104◦31.2 15.4 4◦41.2 13.3 55.311 344◦33.7 10◦14.9 119◦05.6 15.4 4◦54.5 13.3 55.312 359◦33.9 10◦14.0 133◦40.0 15.4 5◦07.7 13.2 55.313 14◦34.1 10◦13.1 148◦14.5 15.4 5◦21.0 13.2 55.314 29◦34.3 10◦12.2 162◦48.9 15.4 5◦34.2 13.2 55.315 44◦34.5 10◦11.4 177◦23.3 15.4 5◦47.3 13.1 55.216 59◦34.6 10◦10.5 191◦57.8 15.4 6◦00.4 13.1 55.217 74◦34.8 10◦09.6 206◦32.2 15.4 6◦13.5 13.1 55.218 89◦35.0 10◦08.7 221◦06.7 15.4 6◦26.6 13.0 55.219 104◦35.2 10◦07.9 235◦41.1 15.4 6◦39.6 13.0 55.120 119◦35.4 10◦07.0 250◦15.6 15.4 6◦52.6 13.0 55.121 134◦35.5 10◦06.1 264◦50.0 15.4 7◦05.5 12.9 55.122 149◦35.7 10◦05.3 279◦24.5 15.4 7◦18.4 12.9 55.123 164◦35.9 10◦04.4 293◦58.9 15.4 7◦31.3 12.8 55.1

SD.=15.8 d=-0.9 S.D.=15.2

Fri GHA Dec GHA ν Dec d HP0 179◦36.1 10◦03.5 308◦33.3 15.4 7◦44.1 12.8 55.01 194◦36.3 10◦02.6 323◦07.8 15.4 7◦56.9 12.8 55.02 209◦36.4 10◦01.7 337◦42.2 15.4 8◦09.7 12.7 55.03 224◦36.6 10◦00.9 352◦16.6 15.4 8◦22.4 12.7 55.04 239◦36.8 9◦60.0 6◦51.0 15.4 8◦35.0 12.6 55.05 254◦37.0 9◦59.1 21◦25.4 15.4 8◦47.6 12.6 54.96 269◦37.2 9◦58.2 35◦59.8 15.4 9◦00.2 12.5 54.97 284◦37.3 9◦57.4 50◦34.1 15.4 9◦12.7 12.5 54.98 299◦37.5 9◦56.5 65◦08.5 15.4 9◦25.2 12.5 54.99 314◦37.7 9◦55.6 79◦42.8 15.3 9◦37.6 12.4 54.910 329◦37.9 9◦54.7 94◦17.2 15.3 9◦50.0 12.4 54.911 344◦38.1 9◦53.9 108◦51.5 15.3 10◦02.4 12.3 54.812 359◦38.3 9◦53.0 123◦25.8 15.3 10◦14.7 12.3 54.813 14◦38.4 9◦52.1 138◦00.1 15.3 10◦26.9 12.2 54.814 29◦38.6 9◦51.2 152◦34.4 15.3 10◦39.1 12.2 54.815 44◦38.8 9◦50.3 167◦08.6 15.2 10◦51.2 12.1 54.816 59◦39.0 9◦49.5 181◦42.9 15.2 11◦03.3 12.1 54.817 74◦39.2 9◦48.6 196◦17.1 15.2 11◦15.4 12.0 54.718 89◦39.4 9◦47.7 210◦51.3 15.2 11◦27.4 12.0 54.719 104◦39.5 9◦46.8 225◦25.4 15.2 11◦39.3 11.9 54.720 119◦39.7 9◦45.9 239◦59.6 15.1 11◦51.2 11.9 54.721 134◦39.9 9◦45.1 254◦33.7 15.1 12◦03.0 11.8 54.722 149◦40.1 9◦44.2 269◦07.8 15.1 12◦14.8 11.7 54.723 164◦40.3 9◦43.3 283◦41.9 15.1 12◦26.5 11.7 54.6

SD.=15.8 d=-0.9 S.D.=15.0

Sat GHA Dec GHA ν Dec d HP0 179◦40.5 9◦42.4 298◦15.9 15.0 12◦38.2 11.6 54.61 194◦40.6 9◦41.5 312◦50.0 15.0 12◦49.8 11.6 54.62 209◦40.8 9◦40.6 327◦24.0 15.0 13◦01.3 11.5 54.63 224◦41.0 9◦39.8 341◦57.9 15.0 13◦12.8 11.5 54.64 239◦41.2 9◦38.9 356◦31.9 14.9 13◦24.2 11.4 54.65 254◦41.4 9◦38.0 11◦05.8 14.9 13◦35.6 11.3 54.66 269◦41.6 9◦37.1 25◦39.7 14.9 13◦46.9 11.3 54.67 284◦41.8 9◦36.2 40◦13.5 14.8 13◦58.2 11.2 54.58 299◦41.9 9◦35.3 54◦47.4 14.8 14◦09.4 11.2 54.59 314◦42.1 9◦34.5 69◦21.1 14.8 14◦20.5 11.1 54.510 329◦42.3 9◦33.6 83◦54.9 14.7 14◦31.6 11.0 54.511 344◦42.5 9◦32.7 98◦28.6 14.7 14◦42.6 11.0 54.512 359◦42.7 9◦31.8 113◦02.3 14.7 14◦53.5 10.9 54.513 14◦42.9 9◦30.9 127◦36.0 14.6 15◦04.4 10.8 54.514 29◦43.1 9◦30.0 142◦09.6 14.6 15◦15.2 10.8 54.515 44◦43.2 9◦29.1 156◦43.2 14.6 15◦25.9 10.7 54.416 59◦43.4 9◦28.3 171◦16.7 14.5 15◦36.6 10.6 54.417 74◦43.6 9◦27.4 185◦50.2 14.5 15◦47.2 10.6 54.418 89◦43.8 9◦26.5 200◦23.7 14.4 15◦57.7 10.5 54.419 104◦44.0 9◦25.6 214◦57.1 14.4 16◦08.2 10.4 54.420 119◦44.2 9◦24.7 229◦30.5 14.4 16◦18.6 10.4 54.421 134◦44.4 9◦23.8 244◦03.8 14.3 16◦28.9 10.3 54.422 149◦44.6 9◦22.9 258◦37.2 14.3 16◦39.2 10.2 54.423 164◦44.7 9◦22.0 273◦10.4 14.2 16◦49.4 10.2 54.4

SD.=15.8 d=-0.9 S.D.=14.9

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 –:– 01:51 03:37 20:22 22:04 –:–70 –:– 02:31 03:54 20:06 21:27 –:–68 –:– 02:57 04:08 19:52 21:02 –:–66 01:36 03:17 04:19 19:41 20:43 22:2064 02:11 03:33 04:29 19:32 20:27 21:4762 02:36 03:46 04:37 19:25 20:15 21:2460 02:55 03:57 04:43 19:18 20:04 21:0558 03:10 04:06 04:49 19:12 19:55 20:5156 03:23 04:14 04:55 19:07 19:47 20:3854 03:34 04:21 04:60 19:02 19:40 20:2852 03:43 04:28 05:04 18:58 19:34 20:1850 03:51 04:33 05:08 18:54 19:28 20:1045 04:08 04:45 05:16 18:46 19:17 19:5440 04:21 04:55 05:23 18:39 19:07 19:4135 04:32 05:03 05:29 18:33 18:59 19:3030 04:41 05:10 05:34 18:28 18:53 19:2220 04:54 05:21 05:43 18:19 18:42 19:0810 05:05 05:30 05:51 18:12 18:33 18:580 05:13 05:37 05:58 18:05 18:26 18:50-10 05:19 05:44 06:05 17:58 18:19 18:44-20 05:25 05:50 06:13 17:51 18:13 18:39-30 05:29 05:57 06:21 17:42 18:07 18:34-35 05:31 06:00 06:26 17:38 18:03 18:33-40 05:32 06:04 06:31 17:32 17:60 18:31-45 05:33 06:07 06:37 17:26 17:56 18:30-50 05:34 06:12 06:44 17:19 17:52 18:30-52 05:34 06:14 06:48 17:16 17:50 18:29-54 05:35 06:16 06:52 17:12 17:48 18:29-56 05:35 06:18 06:56 17:08 17:46 18:29-58 05:35 06:20 07:00 17:04 17:44 18:29-60 05:35 06:23 07:05 16:59 17:41 18:30

Moonrise MoonsetLat. Thu Fri Sat Thu Fri Sat72 19:53 19:22 18:33 09:59 11:60 14:1970 20:03 19:41 19:11 09:52 11:43 13:4268 20:11 19:56 19:38 09:47 11:29 13:1766 20:17 20:09 19:59 09:42 11:18 12:5764 20:23 20:19 20:16 09:38 11:09 12:4262 20:27 20:28 20:29 09:35 11:02 12:2960 20:32 20:36 20:41 09:32 10:55 12:1858 20:35 20:43 20:51 09:30 10:49 12:0856 20:39 20:49 21:00 09:27 10:44 11:6054 20:42 20:54 21:08 09:25 10:39 11:5352 20:45 20:59 21:16 09:24 10:35 11:4650 20:47 21:03 21:22 09:22 10:31 11:4045 20:53 21:13 21:36 09:18 10:23 11:2840 20:57 21:21 21:48 09:15 10:16 11:1735 21:01 21:28 21:58 09:13 10:11 11:0830 21:05 21:35 22:06 09:10 10:06 11:0120 21:11 21:45 22:21 09:07 09:57 10:4710 21:16 21:55 22:35 09:03 09:49 10:360 21:22 22:04 22:47 08:60 09:42 10:25-10 21:27 22:13 22:60 08:57 09:35 10:14-20 21:33 22:23 23:13 08:53 09:27 10:02-30 21:39 22:34 23:29 08:49 09:19 09:49-35 21:43 22:40 23:38 08:47 09:14 09:42-40 21:47 22:48 23:49 08:44 09:08 09:33-45 21:52 22:57 –:– 08:41 09:02 09:23-50 21:58 23:07 –:– 08:38 08:54 09:11-52 22:01 23:12 –:– 08:36 08:50 09:06-54 22:04 23:17 –:– 08:35 08:46 08:59-56 22:07 23:23 –:– 08:33 08:42 08:53-58 22:11 23:30 –:– 08:31 08:37 08:45-60 22:15 23:38 –:– 08:28 08:32 08:37

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower26 01:53 01:44 12:01 02:49 15:10 18(83%)27 01:36 01:27 12:01 03:31 15:52 19(76%)28 01:18 01:09 12:01 04:14 16:35 20(67%)

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August 29, 30 ,31 (Sun., Mon., Tue.)Aries Venus Mars Jupiter Saturn

Sun GHA GHA Dec GHA Dec GHA Dec GHA Dec0 337◦25.2 143◦32.5 -5◦55.5 167◦05.9 5◦10.6 8◦41.8 -13◦57.3 26◦27.8 -18◦57.91 352◦27.7 158◦32.3 -5◦56.7 182◦06.9 5◦10.0 23◦44.5 -13◦57.4 41◦30.5 -18◦57.92 7◦30.1 173◦32.1 -5◦58.0 197◦07.9 5◦09.4 38◦47.3 -13◦57.5 56◦33.1 -18◦58.03 22◦32.6 188◦31.9 -5◦59.3 212◦08.9 5◦08.7 53◦50.1 -13◦57.6 71◦35.7 -18◦58.04 37◦35.1 203◦31.7 -6◦00.5 227◦09.9 5◦08.1 68◦52.8 -13◦57.7 86◦38.3 -18◦58.15 52◦37.5 218◦31.6 -6◦01.8 242◦10.9 5◦07.4 83◦55.6 -13◦57.9 101◦40.9 -18◦58.16 67◦40.0 233◦31.4 -6◦03.1 257◦11.9 5◦06.8 98◦58.4 -13◦58.0 116◦43.6 -18◦58.17 82◦42.5 248◦31.2 -6◦04.3 272◦12.9 5◦06.2 114◦01.2 -13◦58.1 131◦46.2 -18◦58.28 97◦44.9 263◦31.0 -6◦05.6 287◦13.9 5◦05.5 129◦03.9 -13◦58.2 146◦48.8 -18◦58.29 112◦47.4 278◦30.8 -6◦06.9 302◦14.9 5◦04.9 144◦06.7 -13◦58.3 161◦51.4 -18◦58.310 127◦49.9 293◦30.6 -6◦08.1 317◦15.9 5◦04.2 159◦09.5 -13◦58.4 176◦54.0 -18◦58.311 142◦52.3 308◦30.4 -6◦09.4 332◦16.9 5◦03.6 174◦12.2 -13◦58.5 191◦56.7 -18◦58.312 157◦54.8 323◦30.2 -6◦10.6 347◦17.9 5◦02.9 189◦15.0 -13◦58.6 206◦59.3 -18◦58.413 172◦57.3 338◦30.1 -6◦11.9 2◦18.9 5◦02.3 204◦17.8 -13◦58.7 222◦01.9 -18◦58.414 187◦59.7 353◦29.9 -6◦13.2 17◦19.9 5◦01.7 219◦20.5 -13◦58.8 237◦04.5 -18◦58.515 203◦02.2 8◦29.7 -6◦14.4 32◦20.9 5◦01.0 234◦23.3 -13◦59.0 252◦07.1 -18◦58.516 218◦04.6 23◦29.5 -6◦15.7 47◦21.9 5◦00.4 249◦26.1 -13◦59.1 267◦09.8 -18◦58.517 233◦07.1 38◦29.3 -6◦17.0 62◦22.9 4◦59.7 264◦28.9 -13◦59.2 282◦12.4 -18◦58.618 248◦09.6 53◦29.1 -6◦18.2 77◦23.9 4◦59.1 279◦31.6 -13◦59.3 297◦15.0 -18◦58.619 263◦12.0 68◦28.9 -6◦19.5 92◦24.9 4◦58.5 294◦34.4 -13◦59.4 312◦17.6 -18◦58.720 278◦14.5 83◦28.7 -6◦20.8 107◦25.9 4◦57.8 309◦37.2 -13◦59.5 327◦20.2 -18◦58.721 293◦17.0 98◦28.5 -6◦22.0 122◦26.9 4◦57.2 324◦39.9 -13◦59.6 342◦22.8 -18◦58.822 308◦19.4 113◦28.4 -6◦23.3 137◦27.9 4◦56.5 339◦42.7 -13◦59.7 357◦25.5 -18◦58.823 323◦21.9 128◦28.2 -6◦24.6 152◦28.9 4◦55.9 354◦45.5 -13◦59.8 12◦28.1 -18◦58.8Mer.pass.:1:30: v-0.2 d-1.3 m-3.9 v1.0 d-0.6 m1.8 v2.8 d-0.1 m-2.7 v2.6 d-0.0 m0.3

Mon GHA GHA Dec GHA Dec GHA Dec GHA Dec0 338◦24.4 143◦28.0 -6◦25.8 167◦29.8 4◦55.3 9◦48.3 -13◦59.9 27◦30.7 -18◦58.91 353◦26.8 158◦27.8 -6◦27.1 182◦30.8 4◦54.6 24◦51.0 -14◦00.0 42◦33.3 -18◦58.92 8◦29.3 173◦27.6 -6◦28.3 197◦31.8 4◦54.0 39◦53.8 -14◦00.2 57◦35.9 -18◦59.03 23◦31.8 188◦27.4 -6◦29.6 212◦32.8 4◦53.3 54◦56.6 -14◦00.3 72◦38.6 -18◦59.04 38◦34.2 203◦27.2 -6◦30.9 227◦33.8 4◦52.7 69◦59.3 -14◦00.4 87◦41.2 -18◦59.05 53◦36.7 218◦27.0 -6◦32.1 242◦34.8 4◦52.0 85◦02.1 -14◦00.5 102◦43.8 -18◦59.16 68◦39.1 233◦26.8 -6◦33.4 257◦35.8 4◦51.4 100◦04.9 -14◦00.6 117◦46.4 -18◦59.17 83◦41.6 248◦26.7 -6◦34.7 272◦36.8 4◦50.8 115◦07.6 -14◦00.7 132◦49.0 -18◦59.28 98◦44.1 263◦26.5 -6◦35.9 287◦37.8 4◦50.1 130◦10.4 -14◦00.8 147◦51.6 -18◦59.29 113◦46.5 278◦26.3 -6◦37.2 302◦38.8 4◦49.5 145◦13.2 -14◦00.9 162◦54.3 -18◦59.210 128◦49.0 293◦26.1 -6◦38.4 317◦39.8 4◦48.8 160◦15.9 -14◦01.0 177◦56.9 -18◦59.311 143◦51.5 308◦25.9 -6◦39.7 332◦40.8 4◦48.2 175◦18.7 -14◦01.1 192◦59.5 -18◦59.312 158◦53.9 323◦25.7 -6◦41.0 347◦41.8 4◦47.5 190◦21.5 -14◦01.2 208◦02.1 -18◦59.413 173◦56.4 338◦25.5 -6◦42.2 2◦42.8 4◦46.9 205◦24.3 -14◦01.4 223◦04.7 -18◦59.414 188◦58.9 353◦25.3 -6◦43.5 17◦43.8 4◦46.3 220◦27.0 -14◦01.5 238◦07.3 -18◦59.415 204◦01.3 8◦25.1 -6◦44.7 32◦44.8 4◦45.6 235◦29.8 -14◦01.6 253◦10.0 -18◦59.516 219◦03.8 23◦24.9 -6◦46.0 47◦45.8 4◦45.0 250◦32.6 -14◦01.7 268◦12.6 -18◦59.517 234◦06.2 38◦24.8 -6◦47.3 62◦46.8 4◦44.3 265◦35.3 -14◦01.8 283◦15.2 -18◦59.618 249◦08.7 53◦24.6 -6◦48.5 77◦47.8 4◦43.7 280◦38.1 -14◦01.9 298◦17.8 -18◦59.619 264◦11.2 68◦24.4 -6◦49.8 92◦48.8 4◦43.0 295◦40.9 -14◦02.0 313◦20.4 -18◦59.620 279◦13.6 83◦24.2 -6◦51.0 107◦49.8 4◦42.4 310◦43.6 -14◦02.1 328◦23.0 -18◦59.721 294◦16.1 98◦24.0 -6◦52.3 122◦50.8 4◦41.8 325◦46.4 -14◦02.2 343◦25.6 -18◦59.722 309◦18.6 113◦23.8 -6◦53.6 137◦51.8 4◦41.1 340◦49.2 -14◦02.3 358◦28.3 -18◦59.823 324◦21.0 128◦23.6 -6◦54.8 152◦52.8 4◦40.5 355◦51.9 -14◦02.4 13◦30.9 -18◦59.8Mer.pass.:1:26: v-0.2 d-1.3 m-3.9 v1.0 d-0.6 m1.8 v2.8 d-0.1 m-2.7 v2.6 d-0.0 m0.3

Tue GHA GHA Dec GHA Dec GHA Dec GHA Dec0 339◦23.5 143◦23.4 -6◦56.1 167◦53.8 4◦39.8 10◦54.7 -14◦02.5 28◦33.5 -18◦59.81 354◦26.0 158◦23.2 -6◦57.3 182◦54.8 4◦39.2 25◦57.5 -14◦02.7 43◦36.1 -18◦59.92 9◦28.4 173◦23.0 -6◦58.6 197◦55.7 4◦38.5 41◦00.2 -14◦02.8 58◦38.7 -18◦59.93 24◦30.9 188◦22.8 -6◦59.8 212◦56.7 4◦37.9 56◦03.0 -14◦02.9 73◦41.3 -18◦60.04 39◦33.4 203◦22.7 -7◦01.1 227◦57.7 4◦37.3 71◦05.8 -14◦03.0 88◦43.9 -19◦00.05 54◦35.8 218◦22.5 -7◦02.4 242◦58.7 4◦36.6 86◦08.5 -14◦03.1 103◦46.6 -19◦00.06 69◦38.3 233◦22.3 -7◦03.6 257◦59.7 4◦36.0 101◦11.3 -14◦03.2 118◦49.2 -19◦00.17 84◦40.7 248◦22.1 -7◦04.9 273◦00.7 4◦35.3 116◦14.1 -14◦03.3 133◦51.8 -19◦00.18 99◦43.2 263◦21.9 -7◦06.1 288◦01.7 4◦34.7 131◦16.8 -14◦03.4 148◦54.4 -19◦00.29 114◦45.7 278◦21.7 -7◦07.4 303◦02.7 4◦34.0 146◦19.6 -14◦03.5 163◦57.0 -19◦00.210 129◦48.1 293◦21.5 -7◦08.6 318◦03.7 4◦33.4 161◦22.4 -14◦03.6 178◦59.6 -19◦00.211 144◦50.6 308◦21.3 -7◦09.9 333◦04.7 4◦32.8 176◦25.1 -14◦03.7 194◦02.2 -19◦00.312 159◦53.1 323◦21.1 -7◦11.2 348◦05.7 4◦32.1 191◦27.9 -14◦03.8 209◦04.9 -19◦00.313 174◦55.5 338◦20.9 -7◦12.4 3◦06.7 4◦31.5 206◦30.7 -14◦03.9 224◦07.5 -19◦00.414 189◦58.0 353◦20.7 -7◦13.7 18◦07.7 4◦30.8 221◦33.4 -14◦04.1 239◦10.1 -19◦00.415 205◦00.5 8◦20.5 -7◦14.9 33◦08.7 4◦30.2 236◦36.2 -14◦04.2 254◦12.7 -19◦00.416 220◦02.9 23◦20.3 -7◦16.2 48◦09.7 4◦29.5 251◦39.0 -14◦04.3 269◦15.3 -19◦00.517 235◦05.4 38◦20.2 -7◦17.4 63◦10.7 4◦28.9 266◦41.7 -14◦04.4 284◦17.9 -19◦00.518 250◦07.9 53◦20.0 -7◦18.7 78◦11.7 4◦28.2 281◦44.5 -14◦04.5 299◦20.5 -19◦00.619 265◦10.3 68◦19.8 -7◦19.9 93◦12.7 4◦27.6 296◦47.3 -14◦04.6 314◦23.2 -19◦00.620 280◦12.8 83◦19.6 -7◦21.2 108◦13.7 4◦27.0 311◦50.0 -14◦04.7 329◦25.8 -19◦00.621 295◦15.2 98◦19.4 -7◦22.4 123◦14.7 4◦26.3 326◦52.8 -14◦04.8 344◦28.4 -19◦00.722 310◦17.7 113◦19.2 -7◦23.7 138◦15.7 4◦25.7 341◦55.6 -14◦04.9 359◦31.0 -19◦00.723 325◦20.2 128◦19.0 -7◦25.0 153◦16.7 4◦25.0 356◦58.3 -14◦05.0 14◦33.6 -19◦00.8Mer.pass.:1:22: v-0.2 d-1.3 m-3.9 v1.0 d-0.6 m1.8 v2.8 d-0.1 m-2.7 v2.6 d-0.0 m0.3

StarsSHA Dec

Alpheratz 357◦37.3 29◦12.6Ankaa 353◦09.5 -42◦11.2

Schedar 349◦33.6 56◦39.2Diphda 348◦49.7 -17◦52.0

Achernar 335◦21.9 -57◦07.4Hamal 327◦54.1 23◦33.8Polaris 315◦08.3 89◦21.0Akamar 315◦13.7 -40◦12.9Menkar 314◦08.9 4◦10.5Mirfak 308◦32.0 49◦56.0

Aldebaran 290◦42.8 16◦33.2Rigel 281◦06.6 -8◦10.5

Capella 280◦26.1 46◦01.0Bellatrix 278◦25.9 6◦22.2Elnath 278◦05.4 28◦37.5Alnilam 275◦40.6 -1◦11.2

Betelgeuse 270◦55.2 7◦24.7Canopus 263◦53.9 -52◦42.1

Sirius 258◦28.8 -16◦44.4Adara 255◦08.2 -28◦59.9

Procyon 244◦53.9 5◦10.4Pollux 243◦20.8 27◦58.5Avior 234◦16.4 -59◦34.5Suhail 222◦48.7 -43◦31.0

Miaplacidus 221◦39.6 -69◦48.1Alphard 217◦50.7 -8◦45.0Regulus 207◦37.7 11◦51.9Dubhe 193◦45.1 61◦38.2

Denebola 182◦28.0 14◦27.3Gienah 175◦46.7 -17◦39.6Acrux 173◦03.7 -63◦13.1

Gacrux 171◦55.1 -57◦14.0Alioth 166◦15.9 55◦50.9Spica 158◦25.4 -11◦16.3Alcaid 152◦54.5 49◦12.7Hadar 148◦40.2 -60◦28.7

Menkent 148◦01.1 -36◦28.5Arcturus 145◦50.5 19◦04.8

Rigil Kent. 139◦44.3 -60◦55.6Zubenelg. 136◦59.2 -16◦07.8Kochab 137◦20.3 74◦04.4

Alphecca 126◦06.2 26◦38.8Antares 112◦19.2 -26◦28.7

Atria 107◦15.8 -69◦04.1Sabik 102◦05.9 -15◦45.0

Shaula 96◦14.0 -37◦07.2Rasalhague 96◦01.0 12◦32.9

Etamin 90◦43.3 51◦29.5Kaus Aust. 83◦35.9 -34◦22.5

Vega 80◦34.9 38◦48.4Nunki 75◦51.0 -26◦16.2Altair 62◦02.4 8◦55.6

Peacock 53◦09.6 -56◦40.0Deneb 49◦27.2 45◦21.6

Enif 33◦41.2 9◦58.5Alnair 27◦36.0 -46◦51.3

Fomalhaut 15◦17.3 -29◦30.4Scheat 13◦47.5 28◦12.0Markab 13◦32.3 15◦19.3

2021/8/2 SHA Mer.passVenus 166◦07.3 14:26Mars 189◦40.7 12:51

Jupiter 31◦16.5 23:21Saturn 49◦02.6 22:10

2021/8/3 SHA Mer.passVenus 165◦03.6 14:26Mars 189◦05.5 12:49

Jupiter 31◦23.9 23:16Saturn 49◦06.3 22:06

2021/8/3 SHA Mer.passVenus 163◦59.9 14:27Mars 188◦30.3 12:48

Jupiter 31◦31.2 23:12Saturn 49◦10.0 22:02

Horizontal paralaxVenus: 0.1Mars: 0.1

162

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2021 August 29 to Aug. 31

h Sun MoonSun GHA Dec GHA ν Dec d HP0 179◦44.9 9◦21.2 287◦43.6 14.2 16◦59.5 10.1 54.41 194◦45.1 9◦20.3 302◦16.8 14.2 17◦09.5 10.0 54.42 209◦45.3 9◦19.4 316◦50.0 14.1 17◦19.5 9.9 54.33 224◦45.5 9◦18.5 331◦23.1 14.1 17◦29.4 9.9 54.34 239◦45.7 9◦17.6 345◦56.1 14.0 17◦39.2 9.8 54.35 254◦45.9 9◦16.7 0◦29.1 14.0 17◦48.9 9.7 54.36 269◦46.1 9◦15.8 15◦02.1 13.9 17◦58.6 9.6 54.37 284◦46.2 9◦14.9 29◦35.0 13.9 18◦08.2 9.6 54.38 299◦46.4 9◦14.0 44◦07.8 13.8 18◦17.7 9.5 54.39 314◦46.6 9◦13.2 58◦40.7 13.8 18◦27.1 9.4 54.310 329◦46.8 9◦12.3 73◦13.4 13.7 18◦36.5 9.3 54.311 344◦47.0 9◦11.4 87◦46.2 13.7 18◦45.8 9.2 54.312 359◦47.2 9◦10.5 102◦18.8 13.7 18◦55.0 9.2 54.313 14◦47.4 9◦09.6 116◦51.5 13.6 19◦04.1 9.1 54.314 29◦47.6 9◦08.7 131◦24.0 13.6 19◦13.1 9.0 54.315 44◦47.8 9◦07.8 145◦56.6 13.5 19◦22.1 8.9 54.316 59◦48.0 9◦06.9 160◦29.0 13.5 19◦30.9 8.8 54.317 74◦48.1 9◦06.0 175◦01.5 13.4 19◦39.7 8.7 54.318 89◦48.3 9◦05.1 189◦33.8 13.3 19◦48.4 8.7 54.319 104◦48.5 9◦04.2 204◦06.2 13.3 19◦57.0 8.6 54.320 119◦48.7 9◦03.3 218◦38.4 13.2 20◦05.6 8.5 54.321 134◦48.9 9◦02.4 233◦10.7 13.2 20◦14.0 8.4 54.322 149◦49.1 9◦01.5 247◦42.8 13.1 20◦22.4 8.3 54.323 164◦49.3 9◦00.7 262◦14.9 13.1 20◦30.6 8.2 54.3

SD.=15.8 d=-0.9 S.D.=14.8

Mon GHA Dec GHA ν Dec d HP0 179◦49.5 8◦59.8 276◦47.0 13.0 20◦38.8 8.1 54.31 194◦49.7 8◦58.9 291◦19.0 13.0 20◦46.9 8.0 54.32 209◦49.9 8◦58.0 305◦51.0 12.9 20◦54.9 8.0 54.33 224◦50.1 8◦57.1 320◦22.9 12.9 21◦02.8 7.9 54.34 239◦50.3 8◦56.2 334◦54.7 12.8 21◦10.6 7.8 54.35 254◦50.4 8◦55.3 349◦26.5 12.8 21◦18.4 7.7 54.36 269◦50.6 8◦54.4 3◦58.3 12.7 21◦26.0 7.6 54.37 284◦50.8 8◦53.5 18◦29.9 12.7 21◦33.5 7.5 54.38 299◦51.0 8◦52.6 33◦01.6 12.6 21◦41.0 7.4 54.39 314◦51.2 8◦51.7 47◦33.1 12.5 21◦48.3 7.3 54.310 329◦51.4 8◦50.8 62◦04.7 12.5 21◦55.6 7.2 54.311 344◦51.6 8◦49.9 76◦36.1 12.4 22◦02.8 7.1 54.312 359◦51.8 8◦49.0 91◦07.5 12.4 22◦09.8 7.0 54.313 14◦52.0 8◦48.1 105◦38.9 12.3 22◦16.8 6.9 54.314 29◦52.2 8◦47.2 120◦10.2 12.3 22◦23.7 6.8 54.315 44◦52.4 8◦46.3 134◦41.4 12.2 22◦30.4 6.7 54.316 59◦52.6 8◦45.4 149◦12.6 12.2 22◦37.1 6.6 54.317 74◦52.8 8◦44.5 163◦43.8 12.1 22◦43.7 6.5 54.318 89◦53.0 8◦43.6 178◦14.8 12.1 22◦50.1 6.4 54.319 104◦53.1 8◦42.7 192◦45.9 12.0 22◦56.5 6.3 54.320 119◦53.3 8◦41.8 207◦16.8 11.9 23◦02.8 6.2 54.321 134◦53.5 8◦40.9 221◦47.8 11.9 23◦08.9 6.1 54.322 149◦53.7 8◦40.0 236◦18.6 11.8 23◦15.0 6.0 54.323 164◦53.9 8◦39.1 250◦49.4 11.8 23◦21.0 5.9 54.3

SD.=15.8 d=-0.9 S.D.=14.8

Tue GHA Dec GHA ν Dec d HP0 179◦54.1 8◦38.2 265◦20.2 11.7 23◦26.8 5.8 54.31 194◦54.3 8◦37.3 279◦50.9 11.7 23◦32.5 5.7 54.32 209◦54.5 8◦36.4 294◦21.5 11.6 23◦38.2 5.6 54.33 224◦54.7 8◦35.5 308◦52.1 11.6 23◦43.7 5.5 54.44 239◦54.9 8◦34.6 323◦22.6 11.5 23◦49.1 5.4 54.45 254◦55.1 8◦33.7 337◦53.1 11.4 23◦54.5 5.3 54.46 269◦55.3 8◦32.8 352◦23.5 11.4 23◦59.7 5.2 54.47 284◦55.5 8◦31.9 6◦53.9 11.3 24◦04.8 5.0 54.48 299◦55.7 8◦31.0 21◦24.2 11.3 24◦09.8 4.9 54.49 314◦55.9 8◦30.1 35◦54.5 11.2 24◦14.6 4.8 54.410 329◦56.1 8◦29.2 50◦24.7 11.2 24◦19.4 4.7 54.411 344◦56.3 8◦28.3 64◦54.8 11.1 24◦24.1 4.6 54.412 359◦56.5 8◦27.4 79◦24.9 11.1 24◦28.6 4.5 54.413 14◦56.7 8◦26.5 93◦55.0 11.0 24◦33.0 4.4 54.414 29◦56.9 8◦25.6 108◦25.0 11.0 24◦37.3 4.3 54.515 44◦57.1 8◦24.7 122◦55.0 10.9 24◦41.5 4.1 54.516 59◦57.2 8◦23.8 137◦24.9 10.9 24◦45.6 4.0 54.517 74◦57.4 8◦22.9 151◦54.7 10.8 24◦49.6 3.9 54.518 89◦57.6 8◦22.0 166◦24.5 10.8 24◦53.4 3.8 54.519 104◦57.8 8◦21.1 180◦54.3 10.7 24◦57.2 3.7 54.520 119◦58.0 8◦20.2 195◦24.0 10.7 25◦00.8 3.6 54.521 134◦58.2 8◦19.2 209◦53.6 10.6 25◦04.3 3.4 54.522 149◦58.4 8◦18.3 224◦23.2 10.6 25◦07.7 3.3 54.523 164◦58.6 8◦17.4 238◦52.8 10.5 25◦10.9 3.2 54.6

SD.=15.8 d=-0.9 S.D.=14.8

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 –:– 02:17 03:52 20:05 21:37 –:–70 –:– 02:49 04:07 19:51 21:07 –:–68 01:11 03:12 04:19 19:39 20:46 22:3966 01:58 03:29 04:29 19:30 20:29 21:5764 02:27 03:43 04:37 19:22 20:15 21:3062 02:48 03:55 04:44 19:15 20:04 21:1060 03:05 04:05 04:51 19:09 19:54 20:5358 03:19 04:13 04:56 19:04 19:46 20:4056 03:30 04:21 05:01 18:59 19:39 20:2954 03:40 04:27 05:05 18:55 19:32 20:1952 03:49 04:33 05:09 18:51 19:27 20:1050 03:57 04:38 05:12 18:48 19:22 20:0345 04:12 04:49 05:20 18:41 19:11 19:4840 04:25 04:58 05:26 18:34 19:02 19:3635 04:35 05:05 05:31 18:29 18:55 19:2630 04:43 05:12 05:36 18:25 18:49 19:1820 04:55 05:22 05:44 18:17 18:39 19:0510 05:05 05:30 05:51 18:10 18:31 18:560 05:12 05:36 05:57 18:04 18:25 18:49-10 05:18 05:42 06:04 17:58 18:19 18:43-20 05:22 05:48 06:10 17:51 18:13 18:39-30 05:26 05:53 06:17 17:44 18:08 18:36-35 05:27 05:56 06:22 17:40 18:05 18:35-40 05:28 05:59 06:26 17:35 18:03 18:34-45 05:28 06:02 06:32 17:30 17:60 18:34-50 05:28 06:06 06:38 17:24 17:56 18:34-52 05:28 06:07 06:41 17:21 17:55 18:34-54 05:28 06:09 06:45 17:17 17:53 18:34-56 05:28 06:11 06:48 17:14 17:52 18:35-58 05:27 06:12 06:52 17:10 17:50 18:35-60 05:26 06:14 06:57 17:06 17:48 18:36

Moonrise MoonsetLat. Sun Mon Tue Sun Mon Tue72 –:– –:– –:– –:– –:– –:–70 18:02 –:– –:– 16:25 –:– –:–68 19:10 –:– –:– 15:18 –:– –:–66 19:46 19:24 –:– 14:42 16:41 –:–64 20:12 20:10 20:09 14:17 15:56 17:3862 20:33 20:40 20:56 13:57 15:26 16:5260 20:49 21:03 21:26 13:41 15:04 16:2258 21:04 21:21 21:49 13:27 14:46 15:5956 21:16 21:37 22:07 13:16 14:31 15:4154 21:26 21:50 22:23 13:06 14:18 15:2652 21:36 22:02 22:37 12:57 14:06 15:1250 21:44 22:13 22:49 12:49 13:56 15:0145 22:03 22:34 23:13 12:32 13:35 14:3640 22:17 22:52 23:33 12:18 13:18 14:1735 22:30 23:07 23:50 12:06 13:04 14:0130 22:41 23:20 –:– 11:56 12:51 13:4720 23:00 23:42 –:– 11:38 12:30 13:2310 23:17 –:– 00:02 11:23 12:12 13:020 23:32 –:– 00:20 11:09 11:55 12:43-10 23:48 –:– 00:38 10:55 11:38 12:24-20 –:– 00:05 00:57 10:40 11:20 12:04-30 –:– 00:24 01:20 10:22 10:59 11:40-35 –:– 00:36 01:33 10:12 10:47 11:27-40 –:– 00:49 01:49 10:01 10:33 11:11-45 00:01 01:05 02:07 09:48 10:16 10:52-50 00:16 01:24 02:30 09:31 09:56 10:28-52 00:23 01:33 02:41 09:24 09:47 10:17-54 00:31 01:44 02:54 09:15 09:36 10:04-56 00:40 01:55 03:09 09:06 09:24 09:49-58 00:50 02:09 03:26 08:55 09:10 09:31-60 01:01 02:25 03:47 08:43 08:53 09:10

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower29 01:00 00:51 12:00 04:58 17:20 21(58%)30 00:42 00:33 12:00 05:43 18:07 22(48%)31 00:24 00:14 12:00 06:31 18:56 23(39%)

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September 01, 02 ,03 (Wed., Thu., Fri.)Aries Venus Mars Jupiter Saturn

Wed GHA GHA Dec GHA Dec GHA Dec GHA Dec0 340◦22.6 143◦18.8 -7◦26.2 168◦17.7 4◦24.4 12◦01.1 -14◦05.1 29◦36.2 -19◦00.81 355◦25.1 158◦18.6 -7◦27.5 183◦18.7 4◦23.7 27◦03.9 -14◦05.2 44◦38.8 -19◦00.82 10◦27.6 173◦18.4 -7◦28.7 198◦19.7 4◦23.1 42◦06.6 -14◦05.3 59◦41.4 -19◦00.93 25◦30.0 188◦18.2 -7◦30.0 213◦20.7 4◦22.4 57◦09.4 -14◦05.4 74◦44.1 -19◦00.94 40◦32.5 203◦18.0 -7◦31.2 228◦21.6 4◦21.8 72◦12.2 -14◦05.6 89◦46.7 -19◦01.05 55◦35.0 218◦17.8 -7◦32.5 243◦22.6 4◦21.2 87◦14.9 -14◦05.7 104◦49.3 -19◦01.06 70◦37.4 233◦17.6 -7◦33.7 258◦23.6 4◦20.5 102◦17.7 -14◦05.8 119◦51.9 -19◦01.07 85◦39.9 248◦17.4 -7◦35.0 273◦24.6 4◦19.9 117◦20.5 -14◦05.9 134◦54.5 -19◦01.18 100◦42.3 263◦17.3 -7◦36.2 288◦25.6 4◦19.2 132◦23.2 -14◦06.0 149◦57.1 -19◦01.19 115◦44.8 278◦17.1 -7◦37.5 303◦26.6 4◦18.6 147◦26.0 -14◦06.1 164◦59.7 -19◦01.210 130◦47.3 293◦16.9 -7◦38.7 318◦27.6 4◦17.9 162◦28.8 -14◦06.2 180◦02.3 -19◦01.211 145◦49.7 308◦16.7 -7◦40.0 333◦28.6 4◦17.3 177◦31.5 -14◦06.3 195◦05.0 -19◦01.212 160◦52.2 323◦16.5 -7◦41.2 348◦29.6 4◦16.6 192◦34.3 -14◦06.4 210◦07.6 -19◦01.313 175◦54.7 338◦16.3 -7◦42.5 3◦30.6 4◦16.0 207◦37.0 -14◦06.5 225◦10.2 -19◦01.314 190◦57.1 353◦16.1 -7◦43.7 18◦31.6 4◦15.3 222◦39.8 -14◦06.6 240◦12.8 -19◦01.315 205◦59.6 8◦15.9 -7◦45.0 33◦32.6 4◦14.7 237◦42.6 -14◦06.7 255◦15.4 -19◦01.416 221◦02.1 23◦15.7 -7◦46.2 48◦33.6 4◦14.1 252◦45.3 -14◦06.8 270◦18.0 -19◦01.417 236◦04.5 38◦15.5 -7◦47.5 63◦34.6 4◦13.4 267◦48.1 -14◦06.9 285◦20.6 -19◦01.518 251◦07.0 53◦15.3 -7◦48.7 78◦35.6 4◦12.8 282◦50.9 -14◦07.0 300◦23.2 -19◦01.519 266◦09.5 68◦15.1 -7◦50.0 93◦36.6 4◦12.1 297◦53.6 -14◦07.1 315◦25.8 -19◦01.520 281◦11.9 83◦14.9 -7◦51.2 108◦37.6 4◦11.5 312◦56.4 -14◦07.2 330◦28.5 -19◦01.621 296◦14.4 98◦14.7 -7◦52.5 123◦38.6 4◦10.8 327◦59.2 -14◦07.4 345◦31.1 -19◦01.622 311◦16.8 113◦14.5 -7◦53.7 138◦39.6 4◦10.2 343◦01.9 -14◦07.5 0◦33.7 -19◦01.723 326◦19.3 128◦14.3 -7◦55.0 153◦40.6 4◦09.5 358◦04.7 -14◦07.6 15◦36.3 -19◦01.7Mer.pass.:1:18: v-0.2 d-1.3 m-3.9 v1.0 d-0.6 m1.8 v2.8 d-0.1 m-2.7 v2.6 d-0.0 m0.3

Thu GHA GHA Dec GHA Dec GHA Dec GHA Dec0 341◦21.8 143◦14.1 -7◦56.2 168◦41.6 4◦08.9 13◦07.4 -14◦07.7 30◦38.9 -19◦01.71 356◦24.2 158◦13.9 -7◦57.4 183◦42.6 4◦08.2 28◦10.2 -14◦07.8 45◦41.5 -19◦01.82 11◦26.7 173◦13.7 -7◦58.7 198◦43.6 4◦07.6 43◦13.0 -14◦07.9 60◦44.1 -19◦01.83 26◦29.2 188◦13.5 -7◦59.9 213◦44.6 4◦07.0 58◦15.7 -14◦08.0 75◦46.7 -19◦01.94 41◦31.6 203◦13.3 -8◦01.2 228◦45.5 4◦06.3 73◦18.5 -14◦08.1 90◦49.3 -19◦01.95 56◦34.1 218◦13.1 -8◦02.4 243◦46.5 4◦05.7 88◦21.3 -14◦08.2 105◦51.9 -19◦01.96 71◦36.6 233◦12.9 -8◦03.7 258◦47.5 4◦05.0 103◦24.0 -14◦08.3 120◦54.5 -19◦02.07 86◦39.0 248◦12.8 -8◦04.9 273◦48.5 4◦04.4 118◦26.8 -14◦08.4 135◦57.2 -19◦02.08 101◦41.5 263◦12.6 -8◦06.2 288◦49.5 4◦03.7 133◦29.5 -14◦08.5 150◦59.8 -19◦02.09 116◦44.0 278◦12.4 -8◦07.4 303◦50.5 4◦03.1 148◦32.3 -14◦08.6 166◦02.4 -19◦02.110 131◦46.4 293◦12.2 -8◦08.7 318◦51.5 4◦02.4 163◦35.1 -14◦08.7 181◦05.0 -19◦02.111 146◦48.9 308◦12.0 -8◦09.9 333◦52.5 4◦01.8 178◦37.8 -14◦08.8 196◦07.6 -19◦02.212 161◦51.3 323◦11.8 -8◦11.1 348◦53.5 4◦01.1 193◦40.6 -14◦08.9 211◦10.2 -19◦02.213 176◦53.8 338◦11.6 -8◦12.4 3◦54.5 4◦00.5 208◦43.3 -14◦09.0 226◦12.8 -19◦02.214 191◦56.3 353◦11.4 -8◦13.6 18◦55.5 3◦59.8 223◦46.1 -14◦09.1 241◦15.4 -19◦02.315 206◦58.7 8◦11.2 -8◦14.9 33◦56.5 3◦59.2 238◦48.9 -14◦09.2 256◦18.0 -19◦02.316 222◦01.2 23◦11.0 -8◦16.1 48◦57.5 3◦58.5 253◦51.6 -14◦09.4 271◦20.6 -19◦02.417 237◦03.7 38◦10.8 -8◦17.4 63◦58.5 3◦57.9 268◦54.4 -14◦09.5 286◦23.2 -19◦02.418 252◦06.1 53◦10.6 -8◦18.6 78◦59.5 3◦57.3 283◦57.1 -14◦09.6 301◦25.9 -19◦02.419 267◦08.6 68◦10.4 -8◦19.8 94◦00.5 3◦56.6 298◦59.9 -14◦09.7 316◦28.5 -19◦02.520 282◦11.1 83◦10.2 -8◦21.1 109◦01.5 3◦56.0 314◦02.7 -14◦09.8 331◦31.1 -19◦02.521 297◦13.5 98◦10.0 -8◦22.3 124◦02.5 3◦55.3 329◦05.4 -14◦09.9 346◦33.7 -19◦02.522 312◦16.0 113◦09.8 -8◦23.6 139◦03.5 3◦54.7 344◦08.2 -14◦10.0 1◦36.3 -19◦02.623 327◦18.5 128◦09.6 -8◦24.8 154◦04.5 3◦54.0 359◦11.0 -14◦10.1 16◦38.9 -19◦02.6Mer.pass.:1:14: v-0.2 d-1.2 m-4.0 v1.0 d-0.6 m1.8 v2.8 d-0.1 m-2.7 v2.6 d-0.0 m0.3

Fri GHA GHA Dec GHA Dec GHA Dec GHA Dec0 342◦20.9 143◦09.4 -8◦26.0 169◦05.5 3◦53.4 14◦13.7 -14◦10.2 31◦41.5 -19◦02.71 357◦23.4 158◦09.2 -8◦27.3 184◦06.5 3◦52.7 29◦16.5 -14◦10.3 46◦44.1 -19◦02.72 12◦25.8 173◦09.0 -8◦28.5 199◦07.5 3◦52.1 44◦19.2 -14◦10.4 61◦46.7 -19◦02.73 27◦28.3 188◦08.8 -8◦29.8 214◦08.4 3◦51.4 59◦22.0 -14◦10.5 76◦49.3 -19◦02.84 42◦30.8 203◦08.6 -8◦31.0 229◦09.4 3◦50.8 74◦24.7 -14◦10.6 91◦51.9 -19◦02.85 57◦33.2 218◦08.4 -8◦32.2 244◦10.4 3◦50.1 89◦27.5 -14◦10.7 106◦54.5 -19◦02.86 72◦35.7 233◦08.2 -8◦33.5 259◦11.4 3◦49.5 104◦30.3 -14◦10.8 121◦57.1 -19◦02.97 87◦38.2 248◦08.0 -8◦34.7 274◦12.4 3◦48.8 119◦33.0 -14◦10.9 136◦59.7 -19◦02.98 102◦40.6 263◦07.8 -8◦36.0 289◦13.4 3◦48.2 134◦35.8 -14◦11.0 152◦02.3 -19◦03.09 117◦43.1 278◦07.6 -8◦37.2 304◦14.4 3◦47.5 149◦38.5 -14◦11.1 167◦05.0 -19◦03.010 132◦45.6 293◦07.4 -8◦38.4 319◦15.4 3◦46.9 164◦41.3 -14◦11.2 182◦07.6 -19◦03.011 147◦48.0 308◦07.2 -8◦39.7 334◦16.4 3◦46.2 179◦44.1 -14◦11.3 197◦10.2 -19◦03.112 162◦50.5 323◦07.0 -8◦40.9 349◦17.4 3◦45.6 194◦46.8 -14◦11.4 212◦12.8 -19◦03.113 177◦52.9 338◦06.8 -8◦42.1 4◦18.4 3◦44.9 209◦49.6 -14◦11.5 227◦15.4 -19◦03.114 192◦55.4 353◦06.6 -8◦43.4 19◦19.4 3◦44.3 224◦52.3 -14◦11.6 242◦18.0 -19◦03.215 207◦57.9 8◦06.4 -8◦44.6 34◦20.4 3◦43.7 239◦55.1 -14◦11.7 257◦20.6 -19◦03.216 223◦00.3 23◦06.2 -8◦45.8 49◦21.4 3◦43.0 254◦57.9 -14◦11.8 272◦23.2 -19◦03.317 238◦02.8 38◦06.0 -8◦47.1 64◦22.4 3◦42.4 270◦00.6 -14◦11.9 287◦25.8 -19◦03.318 253◦05.3 53◦05.8 -8◦48.3 79◦23.4 3◦41.7 285◦03.4 -14◦12.0 302◦28.4 -19◦03.319 268◦07.7 68◦05.6 -8◦49.6 94◦24.4 3◦41.1 300◦06.1 -14◦12.2 317◦31.0 -19◦03.420 283◦10.2 83◦05.4 -8◦50.8 109◦25.4 3◦40.4 315◦08.9 -14◦12.3 332◦33.6 -19◦03.421 298◦12.7 98◦05.2 -8◦52.0 124◦26.4 3◦39.8 330◦11.6 -14◦12.4 347◦36.2 -19◦03.422 313◦15.1 113◦05.0 -8◦53.3 139◦27.4 3◦39.1 345◦14.4 -14◦12.5 2◦38.8 -19◦03.523 328◦17.6 128◦04.8 -8◦54.5 154◦28.4 3◦38.5 0◦17.2 -14◦12.6 17◦41.4 -19◦03.5Mer.pass.:1:10: v-0.2 d-1.2 m-4.0 v1.0 d-0.6 m1.8 v2.8 d-0.1 m-2.7 v2.6 d-0.0 m0.3

StarsSHA Dec

Alpheratz 357◦37.3 29◦12.6Ankaa 353◦09.5 -42◦11.2

Schedar 349◦33.6 56◦39.2Diphda 348◦49.7 -17◦52.0

Achernar 335◦21.9 -57◦07.4Hamal 327◦54.1 23◦33.8Polaris 315◦06.7 89◦21.0Akamar 315◦13.7 -40◦12.9Menkar 314◦08.9 4◦10.5Mirfak 308◦32.0 49◦56.0

Aldebaran 290◦42.8 16◦33.2Rigel 281◦06.5 -8◦10.5

Capella 280◦26.0 46◦01.0Bellatrix 278◦25.9 6◦22.2Elnath 278◦05.4 28◦37.5Alnilam 275◦40.6 -1◦11.2

Betelgeuse 270◦55.2 7◦24.7Canopus 263◦53.8 -52◦42.1

Sirius 258◦28.7 -16◦44.4Adara 255◦08.2 -28◦59.8

Procyon 244◦53.8 5◦10.4Pollux 243◦20.8 27◦58.5Avior 234◦16.3 -59◦34.5Suhail 222◦48.7 -43◦31.0

Miaplacidus 221◦39.6 -69◦48.1Alphard 217◦50.7 -8◦44.9Regulus 207◦37.6 11◦51.9Dubhe 193◦45.1 61◦38.2

Denebola 182◦28.0 14◦27.3Gienah 175◦46.7 -17◦39.6Acrux 173◦03.7 -63◦13.1

Gacrux 171◦55.2 -57◦14.0Alioth 166◦15.9 55◦50.8Spica 158◦25.4 -11◦16.3Alcaid 152◦54.5 49◦12.7Hadar 148◦40.2 -60◦28.7

Menkent 148◦01.1 -36◦28.5Arcturus 145◦50.5 19◦04.8

Rigil Kent. 139◦44.3 -60◦55.6Zubenelg. 136◦59.2 -16◦07.8Kochab 137◦20.4 74◦04.3

Alphecca 126◦06.2 26◦38.8Antares 112◦19.2 -26◦28.7

Atria 107◦15.8 -69◦04.1Sabik 102◦05.9 -15◦45.0

Shaula 96◦14.0 -37◦07.2Rasalhague 96◦01.0 12◦32.9

Etamin 90◦43.3 51◦29.5Kaus Aust. 83◦36.0 -34◦22.5

Vega 80◦34.9 38◦48.4Nunki 75◦51.0 -26◦16.2Altair 62◦02.5 8◦55.6

Peacock 53◦09.6 -56◦40.0Deneb 49◦27.2 45◦21.6

Enif 33◦41.2 9◦58.5Alnair 27◦35.9 -46◦51.3

Fomalhaut 15◦17.3 -29◦30.4Scheat 13◦47.5 28◦12.0Markab 13◦32.3 15◦19.3

2021/9/1 SHA Mer.passVenus 162◦56.2 14:27Mars 187◦55.0 12:46

Jupiter 31◦38.5 23:08Saturn 49◦13.6 21:58

2021/9/2 SHA Mer.passVenus 161◦52.4 14:27Mars 187◦19.8 12:44

Jupiter 31◦45.7 23:03Saturn 49◦17.1 21:54

2021/9/3 SHA Mer.passVenus 160◦48.5 14:28Mars 186◦44.5 12:43

Jupiter 31◦52.8 22:59Saturn 49◦20.6 21:49

Horizontal paralaxVenus: 0.1Mars: 0.1

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2021 September 01 to Sep. 03

h Sun MoonWed GHA Dec GHA ν Dec d HP0 179◦58.8 8◦16.5 253◦22.3 10.5 25◦14.1 3.1 54.61 194◦59.0 8◦15.6 267◦51.8 10.4 25◦17.1 3.0 54.62 209◦59.2 8◦14.7 282◦21.2 10.4 25◦20.0 2.8 54.63 224◦59.4 8◦13.8 296◦50.6 10.4 25◦22.8 2.7 54.64 239◦59.6 8◦12.9 311◦19.9 10.3 25◦25.4 2.6 54.65 254◦59.8 8◦12.0 325◦49.2 10.3 25◦28.0 2.5 54.66 270◦00.0 8◦11.1 340◦18.5 10.2 25◦30.4 2.3 54.77 285◦00.2 8◦10.2 354◦47.7 10.2 25◦32.7 2.2 54.78 300◦00.4 8◦09.3 9◦16.9 10.1 25◦34.8 2.1 54.79 315◦00.6 8◦08.4 23◦46.0 10.1 25◦36.9 2.0 54.710 330◦00.8 8◦07.5 38◦15.1 10.1 25◦38.8 1.9 54.711 345◦01.0 8◦06.5 52◦44.1 10.0 25◦40.6 1.7 54.712 0◦01.2 8◦05.6 67◦13.1 10.0 25◦42.2 1.6 54.713 15◦01.4 8◦04.7 81◦42.1 10.0 25◦43.8 1.5 54.814 30◦01.6 8◦03.8 96◦11.1 9.9 25◦45.2 1.3 54.815 45◦01.8 8◦02.9 110◦40.0 9.9 25◦46.5 1.2 54.816 60◦02.0 8◦02.0 125◦08.8 9.9 25◦47.6 1.1 54.817 75◦02.2 8◦01.1 139◦37.7 9.8 25◦48.6 1.0 54.818 90◦02.4 8◦00.2 154◦06.5 9.8 25◦49.5 0.8 54.919 105◦02.6 7◦59.3 168◦35.2 9.8 25◦50.3 0.7 54.920 120◦02.8 7◦58.4 183◦04.0 9.7 25◦50.9 0.6 54.921 135◦03.0 7◦57.4 197◦32.7 9.7 25◦51.4 0.4 54.922 150◦03.2 7◦56.5 212◦01.3 9.7 25◦51.8 0.3 54.923 165◦03.4 7◦55.6 226◦30.0 9.6 25◦52.1 0.2 54.9

SD.=15.8 d=-0.9 S.D.=14.9

Thu GHA Dec GHA ν Dec d HP0 180◦03.6 7◦54.7 240◦58.6 9.6 25◦52.2 0.1 55.01 195◦03.8 7◦53.8 255◦27.2 9.6 25◦52.2 -0.1 55.02 210◦04.0 7◦52.9 269◦55.8 9.6 25◦52.0 -0.2 55.03 225◦04.2 7◦52.0 284◦24.3 9.5 25◦51.7 -0.3 55.04 240◦04.4 7◦51.1 298◦52.8 9.5 25◦51.3 -0.5 55.05 255◦04.6 7◦50.1 313◦21.3 9.5 25◦50.8 -0.6 55.16 270◦04.8 7◦49.2 327◦49.8 9.5 25◦50.1 -0.7 55.17 285◦05.0 7◦48.3 342◦18.2 9.4 25◦49.3 -0.9 55.18 300◦05.2 7◦47.4 356◦46.7 9.4 25◦48.4 -1.0 55.19 315◦05.4 7◦46.5 11◦15.1 9.4 25◦47.3 -1.1 55.210 330◦05.6 7◦45.6 25◦43.5 9.4 25◦46.1 -1.3 55.211 345◦05.8 7◦44.7 40◦11.9 9.4 25◦44.8 -1.4 55.212 0◦06.0 7◦43.8 54◦40.2 9.4 25◦43.3 -1.5 55.213 15◦06.2 7◦42.8 69◦08.6 9.3 25◦41.7 -1.7 55.214 30◦06.4 7◦41.9 83◦36.9 9.3 25◦39.9 -1.8 55.315 45◦06.6 7◦41.0 98◦05.2 9.3 25◦38.1 -1.9 55.316 60◦06.8 7◦40.1 112◦33.5 9.3 25◦36.1 -2.1 55.317 75◦07.0 7◦39.2 127◦01.8 9.3 25◦33.9 -2.2 55.318 90◦07.2 7◦38.3 141◦30.1 9.3 25◦31.6 -2.3 55.419 105◦07.4 7◦37.3 155◦58.4 9.3 25◦29.2 -2.5 55.420 120◦07.6 7◦36.4 170◦26.6 9.3 25◦26.7 -2.6 55.421 135◦07.8 7◦35.5 184◦54.9 9.3 25◦24.0 -2.8 55.422 150◦08.0 7◦34.6 199◦23.1 9.2 25◦21.2 -2.9 55.423 165◦08.2 7◦33.7 213◦51.4 9.2 25◦18.2 -3.0 55.5

SD.=15.9 d=-0.9 S.D.=15.0

Fri GHA Dec GHA ν Dec d HP0 180◦08.4 7◦32.8 228◦19.6 9.2 25◦15.1 -3.2 55.51 195◦08.7 7◦31.8 242◦47.9 9.2 25◦11.9 -3.3 55.52 210◦08.9 7◦30.9 257◦16.1 9.2 25◦08.5 -3.4 55.53 225◦09.1 7◦30.0 271◦44.4 9.2 25◦05.0 -3.6 55.64 240◦09.3 7◦29.1 286◦12.6 9.2 25◦01.4 -3.7 55.65 255◦09.5 7◦28.2 300◦40.8 9.2 24◦57.7 -3.8 55.66 270◦09.7 7◦27.3 315◦09.1 9.2 24◦53.8 -4.0 55.67 285◦09.9 7◦26.3 329◦37.3 9.2 24◦49.7 -4.1 55.78 300◦10.1 7◦25.4 344◦05.5 9.2 24◦45.6 -4.2 55.79 315◦10.3 7◦24.5 358◦33.8 9.3 24◦41.3 -4.4 55.710 330◦10.5 7◦23.6 13◦02.1 9.3 24◦36.8 -4.5 55.711 345◦10.7 7◦22.7 27◦30.3 9.3 24◦32.3 -4.6 55.812 0◦10.9 7◦21.7 41◦58.6 9.3 24◦27.6 -4.8 55.813 15◦11.1 7◦20.8 56◦26.9 9.3 24◦22.7 -4.9 55.814 30◦11.3 7◦19.9 70◦55.1 9.3 24◦17.8 -5.0 55.915 45◦11.5 7◦19.0 85◦23.4 9.3 24◦12.7 -5.2 55.916 60◦11.7 7◦18.1 99◦51.7 9.3 24◦07.4 -5.3 55.917 75◦11.9 7◦17.1 114◦20.1 9.3 24◦02.1 -5.4 55.918 90◦12.1 7◦16.2 128◦48.4 9.3 23◦56.6 -5.6 56.019 105◦12.3 7◦15.3 143◦16.7 9.4 23◦51.0 -5.7 56.020 120◦12.5 7◦14.4 157◦45.1 9.4 23◦45.2 -5.8 56.021 135◦12.7 7◦13.5 172◦13.5 9.4 23◦39.3 -6.0 56.022 150◦12.9 7◦12.5 186◦41.9 9.4 23◦33.3 -6.1 56.123 165◦13.2 7◦11.6 201◦10.3 9.4 23◦27.1 -6.2 56.1

SD.=15.9 d=-0.9 S.D.=15.1

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 –:– 02:39 04:07 19:49 21:14 –:–70 00:22 03:06 04:20 19:36 20:49 23:1168 01:41 03:25 04:30 19:26 20:30 22:1066 02:17 03:41 04:39 19:18 20:15 21:3864 02:41 03:53 04:46 19:11 20:03 21:1462 02:60 04:04 04:52 19:05 19:53 20:5660 03:15 04:13 04:58 19:00 19:44 20:4258 03:27 04:20 05:02 18:55 19:37 20:3056 03:38 04:27 05:06 18:51 19:30 20:1954 03:47 04:33 05:10 18:48 19:25 20:1052 03:55 04:38 05:14 18:45 19:20 20:0350 04:02 04:43 05:17 18:42 19:15 19:5645 04:17 04:53 05:23 18:35 19:05 19:4140 04:28 05:01 05:29 18:30 18:57 19:3035 04:37 05:08 05:33 18:25 18:51 19:2130 04:45 05:13 05:38 18:21 18:45 19:1420 04:56 05:22 05:45 18:14 18:37 19:0310 05:05 05:29 05:51 18:08 18:30 18:540 05:11 05:35 05:56 18:03 18:24 18:48-10 05:16 05:41 06:02 17:57 18:19 18:43-20 05:20 05:45 06:08 17:52 18:14 18:40-30 05:22 05:50 06:14 17:46 18:10 18:37-35 05:23 05:52 06:18 17:42 18:07 18:37-40 05:23 05:55 06:22 17:38 18:05 18:37-45 05:23 05:57 06:26 17:33 18:03 18:37-50 05:22 05:60 06:32 17:28 18:00 18:38-52 05:22 06:01 06:35 17:25 17:59 18:38-54 05:21 06:02 06:37 17:23 17:58 18:39-56 05:20 06:03 06:41 17:20 17:57 18:40-58 05:19 06:04 06:44 17:16 17:56 18:41-60 05:18 06:06 06:48 17:13 17:55 18:43

Moonrise MoonsetLat. Wed Thu Fri Wed Thu Fri72 –:– –:– –:– –:– –:– –:–70 –:– –:– –:– –:– –:– –:–68 –:– –:– –:– –:– –:– –:–66 –:– –:– 22:29 –:– –:– 20:4564 20:22 21:40 23:29 19:12 19:43 19:4462 21:30 22:34 –:– 18:04 18:49 19:1060 22:05 23:07 –:– 17:29 18:16 18:4558 22:31 23:31 –:– 17:03 17:52 18:2556 22:51 23:50 –:– 16:43 17:32 18:0954 23:08 –:– 00:06 16:26 17:16 17:5452 23:22 –:– 00:20 16:12 17:02 17:4250 23:35 –:– 00:32 15:59 16:50 17:3145 –:– 00:01 00:57 15:33 16:24 17:0840 –:– 00:21 01:17 15:13 16:04 16:5035 –:– 00:39 01:34 14:56 15:47 16:3430 00:04 00:53 01:48 14:41 15:33 16:2120 00:28 01:19 02:13 14:16 15:08 15:5710 00:50 01:40 02:34 13:54 14:46 15:370 01:09 02:01 02:53 13:34 14:26 15:19-10 01:29 02:21 03:13 13:14 14:06 14:60-20 01:50 02:43 03:34 12:52 13:44 14:39-30 02:15 03:08 03:58 12:27 13:19 14:16-35 02:30 03:23 04:12 12:12 13:04 14:02-40 02:47 03:40 04:29 11:55 12:47 13:46-45 03:07 04:01 04:49 11:35 12:26 13:27-50 03:32 04:27 05:13 11:09 12:00 13:03-52 03:45 04:40 05:25 10:56 11:48 12:51-54 03:59 04:55 05:39 10:42 11:33 12:38-56 04:16 05:12 05:54 10:25 11:16 12:22-58 04:36 05:32 06:13 10:05 10:56 12:04-60 05:01 05:58 06:36 09:40 10:30 11:42

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower1 00:05 00:05 11:59 07:21 19:47 24(30%)2 00:14 00:24 11:59 08:13 20:39 25(21%)3 00:34 00:44 11:59 09:05 21:32 26(14%)

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September 04, 05 ,06 (Sat., Sun., Mon.)Aries Venus Mars Jupiter Saturn

Sat GHA GHA Dec GHA Dec GHA Dec GHA Dec0 343◦20.1 143◦04.6 -8◦55.7 169◦29.4 3◦37.8 15◦19.9 -14◦12.7 32◦44.0 -19◦03.61 358◦22.5 158◦04.4 -8◦57.0 184◦30.4 3◦37.2 30◦22.7 -14◦12.8 47◦46.6 -19◦03.62 13◦25.0 173◦04.2 -8◦58.2 199◦31.3 3◦36.5 45◦25.4 -14◦12.9 62◦49.2 -19◦03.63 28◦27.4 188◦03.9 -8◦59.4 214◦32.3 3◦35.9 60◦28.2 -14◦13.0 77◦51.8 -19◦03.74 43◦29.9 203◦03.7 -9◦00.7 229◦33.3 3◦35.2 75◦30.9 -14◦13.1 92◦54.5 -19◦03.75 58◦32.4 218◦03.5 -9◦01.9 244◦34.3 3◦34.6 90◦33.7 -14◦13.2 107◦57.1 -19◦03.76 73◦34.8 233◦03.3 -9◦03.1 259◦35.3 3◦33.9 105◦36.4 -14◦13.3 122◦59.7 -19◦03.87 88◦37.3 248◦03.1 -9◦04.4 274◦36.3 3◦33.3 120◦39.2 -14◦13.4 138◦02.3 -19◦03.88 103◦39.8 263◦02.9 -9◦05.6 289◦37.3 3◦32.6 135◦42.0 -14◦13.5 153◦04.9 -19◦03.89 118◦42.2 278◦02.7 -9◦06.8 304◦38.3 3◦32.0 150◦44.7 -14◦13.6 168◦07.5 -19◦03.910 133◦44.7 293◦02.5 -9◦08.0 319◦39.3 3◦31.3 165◦47.5 -14◦13.7 183◦10.1 -19◦03.911 148◦47.2 308◦02.3 -9◦09.3 334◦40.3 3◦30.7 180◦50.2 -14◦13.8 198◦12.7 -19◦04.012 163◦49.6 323◦02.1 -9◦10.5 349◦41.3 3◦30.0 195◦53.0 -14◦13.9 213◦15.3 -19◦04.013 178◦52.1 338◦01.9 -9◦11.7 4◦42.3 3◦29.4 210◦55.7 -14◦14.0 228◦17.9 -19◦04.014 193◦54.6 353◦01.7 -9◦13.0 19◦43.3 3◦28.7 225◦58.5 -14◦14.1 243◦20.5 -19◦04.115 208◦57.0 8◦01.5 -9◦14.2 34◦44.3 3◦28.1 241◦01.2 -14◦14.2 258◦23.1 -19◦04.116 223◦59.5 23◦01.3 -9◦15.4 49◦45.3 3◦27.4 256◦04.0 -14◦14.3 273◦25.7 -19◦04.117 239◦01.9 38◦01.1 -9◦16.7 64◦46.3 3◦26.8 271◦06.8 -14◦14.4 288◦28.3 -19◦04.218 254◦04.4 53◦00.9 -9◦17.9 79◦47.3 3◦26.1 286◦09.5 -14◦14.5 303◦30.9 -19◦04.219 269◦06.9 68◦00.7 -9◦19.1 94◦48.3 3◦25.5 301◦12.3 -14◦14.6 318◦33.5 -19◦04.220 284◦09.3 83◦00.5 -9◦20.3 109◦49.3 3◦24.8 316◦15.0 -14◦14.7 333◦36.1 -19◦04.321 299◦11.8 98◦00.3 -9◦21.6 124◦50.3 3◦24.2 331◦17.8 -14◦14.8 348◦38.7 -19◦04.322 314◦14.3 113◦00.1 -9◦22.8 139◦51.2 3◦23.5 346◦20.5 -14◦14.9 3◦41.3 -19◦04.423 329◦16.7 127◦59.9 -9◦24.0 154◦52.2 3◦22.9 1◦23.3 -14◦15.0 18◦43.9 -19◦04.4Mer.pass.:1:06: v-0.2 d-1.2 m-4.0 v1.0 d-0.6 m1.8 v2.8 d-0.1 m-2.7 v2.6 d-0.0 m0.3

Sun GHA GHA Dec GHA Dec GHA Dec GHA Dec0 344◦19.2 142◦59.6 -9◦25.2 169◦53.2 3◦22.2 16◦26.0 -14◦15.1 33◦46.5 -19◦04.41 359◦21.7 157◦59.4 -9◦26.5 184◦54.2 3◦21.6 31◦28.8 -14◦15.2 48◦49.1 -19◦04.52 14◦24.1 172◦59.2 -9◦27.7 199◦55.2 3◦20.9 46◦31.5 -14◦15.3 63◦51.7 -19◦04.53 29◦26.6 187◦59.0 -9◦28.9 214◦56.2 3◦20.3 61◦34.3 -14◦15.4 78◦54.3 -19◦04.54 44◦29.1 202◦58.8 -9◦30.1 229◦57.2 3◦19.6 76◦37.0 -14◦15.5 93◦56.9 -19◦04.65 59◦31.5 217◦58.6 -9◦31.4 244◦58.2 3◦19.0 91◦39.8 -14◦15.6 108◦59.5 -19◦04.66 74◦34.0 232◦58.4 -9◦32.6 259◦59.2 3◦18.3 106◦42.5 -14◦15.7 124◦02.1 -19◦04.67 89◦36.4 247◦58.2 -9◦33.8 275◦00.2 3◦17.7 121◦45.3 -14◦15.8 139◦04.7 -19◦04.78 104◦38.9 262◦58.0 -9◦35.0 290◦01.2 3◦17.0 136◦48.1 -14◦15.9 154◦07.3 -19◦04.79 119◦41.4 277◦57.8 -9◦36.3 305◦02.2 3◦16.4 151◦50.8 -14◦16.0 169◦09.9 -19◦04.810 134◦43.8 292◦57.6 -9◦37.5 320◦03.2 3◦15.7 166◦53.6 -14◦16.1 184◦12.5 -19◦04.811 149◦46.3 307◦57.4 -9◦38.7 335◦04.2 3◦15.1 181◦56.3 -14◦16.2 199◦15.1 -19◦04.812 164◦48.8 322◦57.2 -9◦39.9 350◦05.2 3◦14.4 196◦59.1 -14◦16.3 214◦17.7 -19◦04.913 179◦51.2 337◦56.9 -9◦41.2 5◦06.2 3◦13.8 212◦01.8 -14◦16.4 229◦20.3 -19◦04.914 194◦53.7 352◦56.7 -9◦42.4 20◦07.2 3◦13.1 227◦04.6 -14◦16.5 244◦22.9 -19◦04.915 209◦56.2 7◦56.5 -9◦43.6 35◦08.2 3◦12.5 242◦07.3 -14◦16.6 259◦25.5 -19◦05.016 224◦58.6 22◦56.3 -9◦44.8 50◦09.2 3◦11.8 257◦10.1 -14◦16.7 274◦28.1 -19◦05.017 240◦01.1 37◦56.1 -9◦46.0 65◦10.2 3◦11.2 272◦12.8 -14◦16.8 289◦30.7 -19◦05.018 255◦03.5 52◦55.9 -9◦47.3 80◦11.1 3◦10.5 287◦15.6 -14◦16.9 304◦33.3 -19◦05.119 270◦06.0 67◦55.7 -9◦48.5 95◦12.1 3◦09.9 302◦18.3 -14◦17.0 319◦35.9 -19◦05.120 285◦08.5 82◦55.5 -9◦49.7 110◦13.1 3◦09.2 317◦21.1 -14◦17.1 334◦38.5 -19◦05.121 300◦10.9 97◦55.3 -9◦50.9 125◦14.1 3◦08.6 332◦23.8 -14◦17.2 349◦41.1 -19◦05.222 315◦13.4 112◦55.1 -9◦52.1 140◦15.1 3◦07.9 347◦26.6 -14◦17.3 4◦43.7 -19◦05.223 330◦15.9 127◦54.8 -9◦53.4 155◦16.1 3◦07.3 2◦29.3 -14◦17.4 19◦46.3 -19◦05.3Mer.pass.:1:02: v-0.2 d-1.2 m-4.0 v1.0 d-0.6 m1.8 v2.8 d-0.1 m-2.7 v2.6 d-0.0 m0.3

Mon GHA GHA Dec GHA Dec GHA Dec GHA Dec0 345◦18.3 142◦54.6 -9◦54.6 170◦17.1 3◦06.6 17◦32.1 -14◦17.5 34◦48.9 -19◦05.31 0◦20.8 157◦54.4 -9◦55.8 185◦18.1 3◦06.0 32◦34.8 -14◦17.6 49◦51.5 -19◦05.32 15◦23.3 172◦54.2 -9◦57.0 200◦19.1 3◦05.3 47◦37.6 -14◦17.7 64◦54.1 -19◦05.43 30◦25.7 187◦54.0 -9◦58.2 215◦20.1 3◦04.7 62◦40.3 -14◦17.8 79◦56.7 -19◦05.44 45◦28.2 202◦53.8 -9◦59.4 230◦21.1 3◦04.0 77◦43.1 -14◦17.9 94◦59.3 -19◦05.45 60◦30.7 217◦53.6 -10◦00.7 245◦22.1 3◦03.4 92◦45.8 -14◦18.0 110◦01.9 -19◦05.56 75◦33.1 232◦53.4 -10◦01.9 260◦23.1 3◦02.7 107◦48.6 -14◦18.1 125◦04.5 -19◦05.57 90◦35.6 247◦53.2 -10◦03.1 275◦24.1 3◦02.1 122◦51.3 -14◦18.2 140◦07.1 -19◦05.58 105◦38.0 262◦52.9 -10◦04.3 290◦25.1 3◦01.4 137◦54.1 -14◦18.3 155◦09.7 -19◦05.69 120◦40.5 277◦52.7 -10◦05.5 305◦26.1 3◦00.8 152◦56.8 -14◦18.4 170◦12.3 -19◦05.610 135◦43.0 292◦52.5 -10◦06.7 320◦27.1 3◦00.1 167◦59.6 -14◦18.5 185◦14.9 -19◦05.611 150◦45.4 307◦52.3 -10◦08.0 335◦28.1 2◦59.5 183◦02.3 -14◦18.6 200◦17.5 -19◦05.712 165◦47.9 322◦52.1 -10◦09.2 350◦29.1 2◦58.8 198◦05.1 -14◦18.7 215◦20.1 -19◦05.713 180◦50.4 337◦51.9 -10◦10.4 5◦30.0 2◦58.2 213◦07.8 -14◦18.8 230◦22.7 -19◦05.714 195◦52.8 352◦51.7 -10◦11.6 20◦31.0 2◦57.5 228◦10.5 -14◦18.9 245◦25.3 -19◦05.815 210◦55.3 7◦51.5 -10◦12.8 35◦32.0 2◦56.9 243◦13.3 -14◦19.0 260◦27.9 -19◦05.816 225◦57.8 22◦51.2 -10◦14.0 50◦33.0 2◦56.2 258◦16.0 -14◦19.1 275◦30.5 -19◦05.817 241◦00.2 37◦51.0 -10◦15.2 65◦34.0 2◦55.5 273◦18.8 -14◦19.2 290◦33.1 -19◦05.918 256◦02.7 52◦50.8 -10◦16.4 80◦35.0 2◦54.9 288◦21.5 -14◦19.3 305◦35.7 -19◦05.919 271◦05.1 67◦50.6 -10◦17.7 95◦36.0 2◦54.2 303◦24.3 -14◦19.4 320◦38.3 -19◦06.020 286◦07.6 82◦50.4 -10◦18.9 110◦37.0 2◦53.6 318◦27.0 -14◦19.5 335◦40.9 -19◦06.021 301◦10.1 97◦50.2 -10◦20.1 125◦38.0 2◦52.9 333◦29.8 -14◦19.6 350◦43.4 -19◦06.022 316◦12.5 112◦50.0 -10◦21.3 140◦39.0 2◦52.3 348◦32.5 -14◦19.7 5◦46.0 -19◦06.123 331◦15.0 127◦49.7 -10◦22.5 155◦40.0 2◦51.6 3◦35.3 -14◦19.8 20◦48.6 -19◦06.1Mer.pass.:0:58: v-0.2 d-1.2 m-4.0 v1.0 d-0.7 m1.8 v2.7 d-0.1 m-2.7 v2.6 d-0.0 m0.3

StarsSHA Dec

Alpheratz 357◦37.2 29◦12.6Ankaa 353◦09.5 -42◦11.2

Schedar 349◦33.6 56◦39.2Diphda 348◦49.6 -17◦52.0

Achernar 335◦21.9 -57◦07.4Hamal 327◦54.1 23◦33.8Polaris 315◦05.3 89◦21.0Akamar 315◦13.7 -40◦12.9Menkar 314◦08.9 4◦10.5Mirfak 308◦32.0 49◦56.0

Aldebaran 290◦42.7 16◦33.2Rigel 281◦06.5 -8◦10.5

Capella 280◦26.0 46◦01.0Bellatrix 278◦25.9 6◦22.2Elnath 278◦05.4 28◦37.5Alnilam 275◦40.6 -1◦11.2

Betelgeuse 270◦55.1 7◦24.7Canopus 263◦53.8 -52◦42.1

Sirius 258◦28.7 -16◦44.4Adara 255◦08.2 -28◦59.8

Procyon 244◦53.8 5◦10.4Pollux 243◦20.8 27◦58.5Avior 234◦16.3 -59◦34.4Suhail 222◦48.7 -43◦30.9

Miaplacidus 221◦39.6 -69◦48.1Alphard 217◦50.7 -8◦44.9Regulus 207◦37.6 11◦51.9Dubhe 193◦45.1 61◦38.2

Denebola 182◦28.0 14◦27.3Gienah 175◦46.7 -17◦39.5Acrux 173◦03.7 -63◦13.1

Gacrux 171◦55.2 -57◦14.0Alioth 166◦16.0 55◦50.8Spica 158◦25.4 -11◦16.3Alcaid 152◦54.5 49◦12.6Hadar 148◦40.3 -60◦28.7

Menkent 148◦01.1 -36◦28.5Arcturus 145◦50.5 19◦04.8

Rigil Kent. 139◦44.4 -60◦55.5Zubenelg. 136◦59.2 -16◦07.8Kochab 137◦20.4 74◦04.3

Alphecca 126◦06.2 26◦38.8Antares 112◦19.2 -26◦28.7

Atria 107◦15.8 -69◦04.1Sabik 102◦05.9 -15◦45.0

Shaula 96◦14.0 -37◦07.2Rasalhague 96◦01.0 12◦32.9

Etamin 90◦43.3 51◦29.5Kaus Aust. 83◦36.0 -34◦22.5

Vega 80◦34.9 38◦48.5Nunki 75◦51.0 -26◦16.2Altair 62◦02.5 8◦55.6

Peacock 53◦09.6 -56◦40.0Deneb 49◦27.2 45◦21.6

Enif 33◦41.2 9◦58.5Alnair 27◦35.9 -46◦51.4

Fomalhaut 15◦17.2 -29◦30.4Scheat 13◦47.5 28◦12.0Markab 13◦32.3 15◦19.3

2021/9/4 SHA Mer.passVenus 159◦44.5 14:28Mars 186◦09.3 12:41

Jupiter 31◦59.9 22:54Saturn 49◦24.0 21:45

2021/9/5 SHA Mer.passVenus 158◦40.5 14:28Mars 185◦34.0 12:40

Jupiter 32◦06.8 22:50Saturn 49◦27.3 21:41

2021/9/6 SHA Mer.passVenus 157◦36.3 14:29Mars 184◦58.8 12:38

Jupiter 32◦13.7 22:46Saturn 49◦30.6 21:37

Horizontal paralaxVenus: 0.1Mars: 0.1

166

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2021 September 04 to Sep. 06

h Sun MoonSat GHA Dec GHA ν Dec d HP0 180◦13.4 7◦10.7 215◦38.7 9.4 23◦20.9 -6.3 56.11 195◦13.6 7◦09.8 230◦07.1 9.5 23◦14.4 -6.5 56.22 210◦13.8 7◦08.8 244◦35.6 9.5 23◦07.9 -6.6 56.23 225◦14.0 7◦07.9 259◦04.1 9.5 23◦01.2 -6.7 56.24 240◦14.2 7◦07.0 273◦32.6 9.5 22◦54.4 -6.9 56.25 255◦14.4 7◦06.1 288◦01.1 9.5 22◦47.5 -7.0 56.36 270◦14.6 7◦05.2 302◦29.6 9.6 22◦40.5 -7.1 56.37 285◦14.8 7◦04.2 316◦58.2 9.6 22◦33.3 -7.2 56.38 300◦15.0 7◦03.3 331◦26.8 9.6 22◦26.0 -7.4 56.39 315◦15.2 7◦02.4 345◦55.4 9.6 22◦18.5 -7.5 56.410 330◦15.4 7◦01.5 0◦24.0 9.6 22◦11.0 -7.6 56.411 345◦15.6 7◦00.5 14◦52.7 9.7 22◦03.3 -7.7 56.412 0◦15.8 6◦59.6 29◦21.4 9.7 21◦55.5 -7.9 56.513 15◦16.0 6◦58.7 43◦50.1 9.7 21◦47.6 -8.0 56.514 30◦16.2 6◦57.8 58◦18.8 9.8 21◦39.5 -8.1 56.515 45◦16.5 6◦56.8 72◦47.6 9.8 21◦31.3 -8.2 56.516 60◦16.7 6◦55.9 87◦16.4 9.8 21◦23.0 -8.4 56.617 75◦16.9 6◦55.0 101◦45.2 9.8 21◦14.6 -8.5 56.618 90◦17.1 6◦54.1 116◦14.1 9.9 21◦06.1 -8.6 56.619 105◦17.3 6◦53.1 130◦42.9 9.9 20◦57.4 -8.7 56.720 120◦17.5 6◦52.2 145◦11.8 9.9 20◦48.6 -8.8 56.721 135◦17.7 6◦51.3 159◦40.8 9.9 20◦39.7 -9.0 56.722 150◦17.9 6◦50.4 174◦09.7 10.0 20◦30.7 -9.1 56.723 165◦18.1 6◦49.4 188◦38.7 10.0 20◦21.6 -9.2 56.8

SD.=15.9 d=-0.9 S.D.=15.3

Sun GHA Dec GHA ν Dec d HP0 180◦18.3 6◦48.5 203◦07.8 10.0 20◦12.3 -9.3 56.81 195◦18.5 6◦47.6 217◦36.8 10.1 20◦02.9 -9.4 56.82 210◦18.7 6◦46.6 232◦05.9 10.1 19◦53.5 -9.5 56.93 225◦18.9 6◦45.7 246◦35.0 10.1 19◦43.9 -9.7 56.94 240◦19.2 6◦44.8 261◦04.2 10.2 19◦34.2 -9.8 56.95 255◦19.4 6◦43.9 275◦33.3 10.2 19◦24.3 -9.9 57.06 270◦19.6 6◦42.9 290◦02.6 10.2 19◦14.4 -10.0 57.07 285◦19.8 6◦42.0 304◦31.8 10.3 19◦04.4 -10.1 57.08 300◦20.0 6◦41.1 319◦01.1 10.3 18◦54.2 -10.2 57.09 315◦20.2 6◦40.2 333◦30.4 10.3 18◦43.9 -10.3 57.110 330◦20.4 6◦39.2 347◦59.7 10.4 18◦33.6 -10.4 57.111 345◦20.6 6◦38.3 2◦29.1 10.4 18◦23.1 -10.5 57.112 0◦20.8 6◦37.4 16◦58.5 10.4 18◦12.5 -10.6 57.213 15◦21.0 6◦36.4 31◦27.9 10.5 18◦01.8 -10.7 57.214 30◦21.2 6◦35.5 45◦57.4 10.5 17◦51.0 -10.9 57.215 45◦21.5 6◦34.6 60◦26.9 10.5 17◦40.1 -11.0 57.216 60◦21.7 6◦33.6 74◦56.5 10.6 17◦29.1 -11.1 57.317 75◦21.9 6◦32.7 89◦26.0 10.6 17◦18.0 -11.2 57.318 90◦22.1 6◦31.8 103◦55.6 10.6 17◦06.8 -11.3 57.319 105◦22.3 6◦30.9 118◦25.3 10.6 16◦55.5 -11.4 57.420 120◦22.5 6◦29.9 132◦54.9 10.7 16◦44.1 -11.5 57.421 135◦22.7 6◦29.0 147◦24.6 10.7 16◦32.6 -11.6 57.422 150◦22.9 6◦28.1 161◦54.4 10.7 16◦20.9 -11.7 57.423 165◦23.1 6◦27.1 176◦24.1 10.8 16◦09.2 -11.7 57.5

SD.=15.9 d=-0.9 S.D.=15.5

Mon GHA Dec GHA ν Dec d HP0 180◦23.3 6◦26.2 190◦53.9 10.8 15◦57.5 -11.8 57.51 195◦23.6 6◦25.3 205◦23.7 10.8 15◦45.6 -11.9 57.52 210◦23.8 6◦24.3 219◦53.6 10.9 15◦33.6 -12.0 57.63 225◦24.0 6◦23.4 234◦23.5 10.9 15◦21.5 -12.1 57.64 240◦24.2 6◦22.5 248◦53.4 10.9 15◦09.3 -12.2 57.65 255◦24.4 6◦21.5 263◦23.3 11.0 14◦57.1 -12.3 57.66 270◦24.6 6◦20.6 277◦53.3 11.0 14◦44.7 -12.4 57.77 285◦24.8 6◦19.7 292◦23.3 11.0 14◦32.3 -12.5 57.78 300◦25.0 6◦18.7 306◦53.4 11.1 14◦19.8 -12.6 57.79 315◦25.2 6◦17.8 321◦23.4 11.1 14◦07.2 -12.7 57.710 330◦25.5 6◦16.9 335◦53.5 11.1 13◦54.5 -12.7 57.811 345◦25.7 6◦15.9 350◦23.7 11.1 13◦41.7 -12.8 57.812 0◦25.9 6◦15.0 4◦53.8 11.2 13◦28.8 -12.9 57.813 15◦26.1 6◦14.1 19◦24.0 11.2 13◦15.9 -13.0 57.914 30◦26.3 6◦13.1 33◦54.2 11.2 13◦02.9 -13.1 57.915 45◦26.5 6◦12.2 48◦24.4 11.2 12◦49.8 -13.1 57.916 60◦26.7 6◦11.3 62◦54.7 11.3 12◦36.6 -13.2 57.917 75◦26.9 6◦10.3 77◦25.0 11.3 12◦23.3 -13.3 58.018 90◦27.1 6◦09.4 91◦55.3 11.3 12◦10.0 -13.4 58.019 105◦27.4 6◦08.5 106◦25.6 11.4 11◦56.6 -13.4 58.020 120◦27.6 6◦07.5 120◦56.0 11.4 11◦43.1 -13.5 58.021 135◦27.8 6◦06.6 135◦26.4 11.4 11◦29.6 -13.6 58.122 150◦28.0 6◦05.7 149◦56.8 11.4 11◦16.0 -13.7 58.123 165◦28.2 6◦04.7 164◦27.2 11.4 11◦02.3 -13.7 58.1

SD.=15.9 d=-0.9 S.D.=15.7

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 –:– 02:59 04:22 19:32 20:53 –:–70 01:19 03:22 04:33 19:22 20:32 22:2868 02:05 03:39 04:41 19:13 20:15 21:4766 02:33 03:52 04:49 19:06 20:02 21:2064 02:54 04:03 04:55 19:01 19:52 20:6062 03:11 04:13 05:00 18:55 19:43 20:4460 03:24 04:21 05:05 18:51 19:35 20:3058 03:36 04:27 05:09 18:47 19:28 20:1956 03:45 04:34 05:12 18:44 19:22 20:1054 03:54 04:39 05:16 18:40 19:17 20:0252 04:01 04:44 05:18 18:38 19:12 19:5550 04:07 04:48 05:21 18:35 19:08 19:4845 04:21 04:57 05:27 18:30 18:59 19:3540 04:31 05:04 05:32 18:25 18:52 19:2535 04:40 05:10 05:36 18:21 18:47 19:1730 04:47 05:15 05:39 18:18 18:42 19:1020 04:57 05:23 05:45 18:12 18:34 18:6010 05:05 05:29 05:51 18:07 18:28 18:520 05:10 05:35 05:55 18:02 18:23 18:47-10 05:14 05:39 06:00 17:57 18:18 18:43-20 05:17 05:43 06:05 17:53 18:15 18:40-30 05:19 05:46 06:10 17:47 18:11 18:39-35 05:19 05:48 06:14 17:44 18:10 18:39-40 05:19 05:50 06:17 17:41 18:08 18:39-45 05:18 05:52 06:21 17:37 18:06 18:40-50 05:16 05:53 06:26 17:32 18:05 18:42-52 05:15 05:54 06:28 17:30 18:04 18:43-54 05:14 05:55 06:30 17:28 18:03 18:44-56 05:13 05:56 06:33 17:25 18:03 18:46-58 05:11 05:56 06:36 17:23 18:02 18:47-60 05:09 05:57 06:39 17:20 18:01 18:49

Moonrise MoonsetLat. Sat Sun Mon Sat Sun Mon72 –:– –:– 01:23 –:– 21:29 20:3270 –:– –:– 02:04 –:– 20:47 20:1368 –:– 00:09 02:31 20:54 20:18 19:5866 –:– 00:51 02:51 20:11 19:57 19:4664 –:– 01:19 03:07 19:42 19:39 19:3662 00:02 01:40 03:21 19:20 19:25 19:2760 00:27 01:58 03:32 19:02 19:12 19:1958 00:46 02:12 03:42 18:47 19:02 19:1256 01:03 02:24 03:50 18:34 18:52 19:0654 01:16 02:35 03:58 18:23 18:44 19:0152 01:28 02:44 04:04 18:13 18:37 18:5650 01:39 02:53 04:11 18:04 18:30 18:5245 02:01 03:11 04:24 17:45 18:16 18:4240 02:19 03:25 04:34 17:29 18:04 18:3435 02:34 03:38 04:43 17:16 17:53 18:2730 02:47 03:48 04:51 17:04 17:44 18:2120 03:09 04:07 05:05 16:44 17:29 18:1010 03:28 04:23 05:17 16:27 17:15 18:000 03:46 04:38 05:28 16:11 17:02 17:51-10 04:04 04:52 05:39 15:54 16:49 17:42-20 04:22 05:08 05:51 15:37 16:35 17:33-30 04:44 05:26 06:04 15:16 16:18 17:21-35 04:57 05:36 06:12 15:04 16:09 17:15-40 05:12 05:48 06:21 14:50 15:58 17:07-45 05:29 06:02 06:31 14:34 15:45 16:59-50 05:50 06:19 06:43 14:14 15:30 16:48-52 06:00 06:27 06:49 14:04 15:22 16:43-54 06:12 06:36 06:55 13:53 15:14 16:38-56 06:25 06:46 07:02 13:40 15:05 16:32-58 06:40 06:57 07:10 13:26 14:54 16:25-60 06:58 07:10 07:18 13:08 14:42 16:17

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower4 00:53 01:03 11:58 09:58 22:24 27(8%)5 01:13 01:23 11:58 10:49 23:14 28(3%)6 01:33 01:43 11:58 11:39 00:04 29(1%)

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September 07, 08 ,09 (Tue., Wed., Thu.)Aries Venus Mars Jupiter Saturn

Tue GHA GHA Dec GHA Dec GHA Dec GHA Dec0 346◦17.5 142◦49.5 -10◦23.7 170◦41.0 2◦51.0 18◦38.0 -14◦19.9 35◦51.2 -19◦06.11 1◦19.9 157◦49.3 -10◦24.9 185◦42.0 2◦50.3 33◦40.8 -14◦20.0 50◦53.8 -19◦06.22 16◦22.4 172◦49.1 -10◦26.1 200◦43.0 2◦49.7 48◦43.5 -14◦20.1 65◦56.4 -19◦06.23 31◦24.9 187◦48.9 -10◦27.3 215◦44.0 2◦49.0 63◦46.3 -14◦20.2 80◦59.0 -19◦06.24 46◦27.3 202◦48.7 -10◦28.6 230◦45.0 2◦48.4 78◦49.0 -14◦20.3 96◦01.6 -19◦06.35 61◦29.8 217◦48.5 -10◦29.8 245◦46.0 2◦47.7 93◦51.7 -14◦20.4 111◦04.2 -19◦06.36 76◦32.3 232◦48.2 -10◦31.0 260◦46.9 2◦47.1 108◦54.5 -14◦20.5 126◦06.8 -19◦06.37 91◦34.7 247◦48.0 -10◦32.2 275◦47.9 2◦46.4 123◦57.2 -14◦20.6 141◦09.4 -19◦06.48 106◦37.2 262◦47.8 -10◦33.4 290◦48.9 2◦45.8 138◦60.0 -14◦20.7 156◦12.0 -19◦06.49 121◦39.6 277◦47.6 -10◦34.6 305◦49.9 2◦45.1 154◦02.7 -14◦20.8 171◦14.6 -19◦06.410 136◦42.1 292◦47.4 -10◦35.8 320◦50.9 2◦44.5 169◦05.5 -14◦20.9 186◦17.2 -19◦06.511 151◦44.6 307◦47.2 -10◦37.0 335◦51.9 2◦43.8 184◦08.2 -14◦20.9 201◦19.8 -19◦06.512 166◦47.0 322◦46.9 -10◦38.2 350◦52.9 2◦43.2 199◦11.0 -14◦21.0 216◦22.4 -19◦06.513 181◦49.5 337◦46.7 -10◦39.4 5◦53.9 2◦42.5 214◦13.7 -14◦21.1 231◦25.0 -19◦06.614 196◦52.0 352◦46.5 -10◦40.6 20◦54.9 2◦41.9 229◦16.4 -14◦21.2 246◦27.6 -19◦06.615 211◦54.4 7◦46.3 -10◦41.8 35◦55.9 2◦41.2 244◦19.2 -14◦21.3 261◦30.2 -19◦06.616 226◦56.9 22◦46.1 -10◦43.0 50◦56.9 2◦40.5 259◦21.9 -14◦21.4 276◦32.7 -19◦06.717 241◦59.4 37◦45.9 -10◦44.2 65◦57.9 2◦39.9 274◦24.7 -14◦21.5 291◦35.3 -19◦06.718 257◦01.8 52◦45.6 -10◦45.4 80◦58.9 2◦39.2 289◦27.4 -14◦21.6 306◦37.9 -19◦06.719 272◦04.3 67◦45.4 -10◦46.6 95◦59.9 2◦38.6 304◦30.2 -14◦21.7 321◦40.5 -19◦06.820 287◦06.8 82◦45.2 -10◦47.8 111◦00.9 2◦37.9 319◦32.9 -14◦21.8 336◦43.1 -19◦06.821 302◦09.2 97◦45.0 -10◦49.0 126◦01.9 2◦37.3 334◦35.6 -14◦21.9 351◦45.7 -19◦06.822 317◦11.7 112◦44.8 -10◦50.3 141◦02.9 2◦36.6 349◦38.4 -14◦22.0 6◦48.3 -19◦06.923 332◦14.1 127◦44.5 -10◦51.5 156◦03.8 2◦36.0 4◦41.1 -14◦22.1 21◦50.9 -19◦06.9Mer.pass.:0:54: v-0.2 d-1.2 m-4.0 v1.0 d-0.7 m1.8 v2.7 d-0.1 m-2.7 v2.6 d-0.0 m0.3

Wed GHA GHA Dec GHA Dec GHA Dec GHA Dec0 347◦16.6 142◦44.3 -10◦52.7 171◦04.8 2◦35.3 19◦43.9 -14◦22.2 36◦53.5 -19◦06.91 2◦19.1 157◦44.1 -10◦53.9 186◦05.8 2◦34.7 34◦46.6 -14◦22.3 51◦56.1 -19◦07.02 17◦21.5 172◦43.9 -10◦55.1 201◦06.8 2◦34.0 49◦49.4 -14◦22.4 66◦58.7 -19◦07.03 32◦24.0 187◦43.7 -10◦56.3 216◦07.8 2◦33.4 64◦52.1 -14◦22.5 82◦01.3 -19◦07.04 47◦26.5 202◦43.4 -10◦57.5 231◦08.8 2◦32.7 79◦54.8 -14◦22.6 97◦03.9 -19◦07.15 62◦28.9 217◦43.2 -10◦58.7 246◦09.8 2◦32.1 94◦57.6 -14◦22.7 112◦06.4 -19◦07.16 77◦31.4 232◦43.0 -10◦59.9 261◦10.8 2◦31.4 110◦00.3 -14◦22.8 127◦09.0 -19◦07.17 92◦33.9 247◦42.8 -11◦01.1 276◦11.8 2◦30.8 125◦03.1 -14◦22.9 142◦11.6 -19◦07.28 107◦36.3 262◦42.6 -11◦02.3 291◦12.8 2◦30.1 140◦05.8 -14◦23.0 157◦14.2 -19◦07.29 122◦38.8 277◦42.3 -11◦03.5 306◦13.8 2◦29.4 155◦08.5 -14◦23.1 172◦16.8 -19◦07.210 137◦41.2 292◦42.1 -11◦04.6 321◦14.8 2◦28.8 170◦11.3 -14◦23.2 187◦19.4 -19◦07.311 152◦43.7 307◦41.9 -11◦05.8 336◦15.8 2◦28.1 185◦14.0 -14◦23.3 202◦22.0 -19◦07.312 167◦46.2 322◦41.7 -11◦07.0 351◦16.8 2◦27.5 200◦16.8 -14◦23.3 217◦24.6 -19◦07.313 182◦48.6 337◦41.4 -11◦08.2 6◦17.8 2◦26.8 215◦19.5 -14◦23.4 232◦27.2 -19◦07.414 197◦51.1 352◦41.2 -11◦09.4 21◦18.7 2◦26.2 230◦22.2 -14◦23.5 247◦29.8 -19◦07.415 212◦53.6 7◦41.0 -11◦10.6 36◦19.7 2◦25.5 245◦25.0 -14◦23.6 262◦32.4 -19◦07.416 227◦56.0 22◦40.8 -11◦11.8 51◦20.7 2◦24.9 260◦27.7 -14◦23.7 277◦35.0 -19◦07.517 242◦58.5 37◦40.6 -11◦13.0 66◦21.7 2◦24.2 275◦30.5 -14◦23.8 292◦37.5 -19◦07.518 258◦01.0 52◦40.3 -11◦14.2 81◦22.7 2◦23.6 290◦33.2 -14◦23.9 307◦40.1 -19◦07.519 273◦03.4 67◦40.1 -11◦15.4 96◦23.7 2◦22.9 305◦35.9 -14◦24.0 322◦42.7 -19◦07.620 288◦05.9 82◦39.9 -11◦16.6 111◦24.7 2◦22.3 320◦38.7 -14◦24.1 337◦45.3 -19◦07.621 303◦08.4 97◦39.7 -11◦17.8 126◦25.7 2◦21.6 335◦41.4 -14◦24.2 352◦47.9 -19◦07.622 318◦10.8 112◦39.4 -11◦19.0 141◦26.7 2◦20.9 350◦44.2 -14◦24.3 7◦50.5 -19◦07.723 333◦13.3 127◦39.2 -11◦20.2 156◦27.7 2◦20.3 5◦46.9 -14◦24.4 22◦53.1 -19◦07.7Mer.pass.:0:50: v-0.2 d-1.2 m-4.0 v1.0 d-0.7 m1.8 v2.7 d-0.1 m-2.7 v2.6 d-0.0 m0.3

Thu GHA GHA Dec GHA Dec GHA Dec GHA Dec0 348◦15.7 142◦39.0 -11◦21.4 171◦28.7 2◦19.6 20◦49.6 -14◦24.5 37◦55.7 -19◦07.71 3◦18.2 157◦38.8 -11◦22.6 186◦29.7 2◦19.0 35◦52.4 -14◦24.6 52◦58.3 -19◦07.82 18◦20.7 172◦38.5 -11◦23.8 201◦30.7 2◦18.3 50◦55.1 -14◦24.7 68◦00.8 -19◦07.83 33◦23.1 187◦38.3 -11◦25.0 216◦31.7 2◦17.7 65◦57.8 -14◦24.8 83◦03.4 -19◦07.84 48◦25.6 202◦38.1 -11◦26.1 231◦32.7 2◦17.0 81◦00.6 -14◦24.9 98◦06.0 -19◦07.95 63◦28.1 217◦37.9 -11◦27.3 246◦33.6 2◦16.4 96◦03.3 -14◦25.0 113◦08.6 -19◦07.96 78◦30.5 232◦37.6 -11◦28.5 261◦34.6 2◦15.7 111◦06.1 -14◦25.0 128◦11.2 -19◦07.97 93◦33.0 247◦37.4 -11◦29.7 276◦35.6 2◦15.1 126◦08.8 -14◦25.1 143◦13.8 -19◦08.08 108◦35.5 262◦37.2 -11◦30.9 291◦36.6 2◦14.4 141◦11.5 -14◦25.2 158◦16.4 -19◦08.09 123◦37.9 277◦37.0 -11◦32.1 306◦37.6 2◦13.8 156◦14.3 -14◦25.3 173◦19.0 -19◦08.010 138◦40.4 292◦36.7 -11◦33.3 321◦38.6 2◦13.1 171◦17.0 -14◦25.4 188◦21.6 -19◦08.111 153◦42.8 307◦36.5 -11◦34.5 336◦39.6 2◦12.4 186◦19.7 -14◦25.5 203◦24.1 -19◦08.112 168◦45.3 322◦36.3 -11◦35.7 351◦40.6 2◦11.8 201◦22.5 -14◦25.6 218◦26.7 -19◦08.113 183◦47.8 337◦36.1 -11◦36.8 6◦41.6 2◦11.1 216◦25.2 -14◦25.7 233◦29.3 -19◦08.214 198◦50.2 352◦35.8 -11◦38.0 21◦42.6 2◦10.5 231◦27.9 -14◦25.8 248◦31.9 -19◦08.215 213◦52.7 7◦35.6 -11◦39.2 36◦43.6 2◦09.8 246◦30.7 -14◦25.9 263◦34.5 -19◦08.216 228◦55.2 22◦35.4 -11◦40.4 51◦44.6 2◦09.2 261◦33.4 -14◦26.0 278◦37.1 -19◦08.317 243◦57.6 37◦35.1 -11◦41.6 66◦45.6 2◦08.5 276◦36.1 -14◦26.1 293◦39.7 -19◦08.318 259◦00.1 52◦34.9 -11◦42.8 81◦46.6 2◦07.9 291◦38.9 -14◦26.2 308◦42.3 -19◦08.319 274◦02.6 67◦34.7 -11◦44.0 96◦47.5 2◦07.2 306◦41.6 -14◦26.3 323◦44.8 -19◦08.420 289◦05.0 82◦34.5 -11◦45.1 111◦48.5 2◦06.6 321◦44.3 -14◦26.4 338◦47.4 -19◦08.421 304◦07.5 97◦34.2 -11◦46.3 126◦49.5 2◦05.9 336◦47.1 -14◦26.4 353◦50.0 -19◦08.422 319◦10.0 112◦34.0 -11◦47.5 141◦50.5 2◦05.2 351◦49.8 -14◦26.5 8◦52.6 -19◦08.423 334◦12.4 127◦33.8 -11◦48.7 156◦51.5 2◦04.6 6◦52.6 -14◦26.6 23◦55.2 -19◦08.5Mer.pass.:0:46: v-0.2 d-1.2 m-4.0 v1.0 d-0.7 m1.8 v2.7 d-0.1 m-2.7 v2.6 d-0.0 m0.3

StarsSHA Dec

Alpheratz 357◦37.2 29◦12.6Ankaa 353◦09.5 -42◦11.2

Schedar 349◦33.6 56◦39.2Diphda 348◦49.6 -17◦52.0

Achernar 335◦21.8 -57◦07.4Hamal 327◦54.1 23◦33.8Polaris 315◦04.1 89◦21.0Akamar 315◦13.6 -40◦12.9Menkar 314◦08.8 4◦10.5Mirfak 308◦31.9 49◦56.1

Aldebaran 290◦42.7 16◦33.2Rigel 281◦06.5 -8◦10.5

Capella 280◦26.0 46◦01.1Bellatrix 278◦25.8 6◦22.2Elnath 278◦05.4 28◦37.5Alnilam 275◦40.6 -1◦11.2

Betelgeuse 270◦55.1 7◦24.7Canopus 263◦53.8 -52◦42.1

Sirius 258◦28.7 -16◦44.4Adara 255◦08.2 -28◦59.8

Procyon 244◦53.8 5◦10.4Pollux 243◦20.8 27◦58.5Avior 234◦16.3 -59◦34.4Suhail 222◦48.7 -43◦30.9

Miaplacidus 221◦39.6 -69◦48.1Alphard 217◦50.7 -8◦44.9Regulus 207◦37.6 11◦51.9Dubhe 193◦45.1 61◦38.2

Denebola 182◦28.0 14◦27.3Gienah 175◦46.7 -17◦39.5Acrux 173◦03.7 -63◦13.1

Gacrux 171◦55.2 -57◦14.0Alioth 166◦16.0 55◦50.8Spica 158◦25.4 -11◦16.3Alcaid 152◦54.6 49◦12.6Hadar 148◦40.3 -60◦28.7

Menkent 148◦01.1 -36◦28.5Arcturus 145◦50.5 19◦04.8

Rigil Kent. 139◦44.4 -60◦55.5Zubenelg. 136◦59.2 -16◦07.8Kochab 137◦20.5 74◦04.3

Alphecca 126◦06.2 26◦38.8Antares 112◦19.2 -26◦28.7

Atria 107◦15.9 -69◦04.1Sabik 102◦05.9 -15◦45.0

Shaula 96◦14.0 -37◦07.2Rasalhague 96◦01.1 12◦32.9

Etamin 90◦43.3 51◦29.5Kaus Aust. 83◦36.0 -34◦22.5

Vega 80◦34.9 38◦48.5Nunki 75◦51.0 -26◦16.2Altair 62◦02.5 8◦55.6

Peacock 53◦09.6 -56◦40.0Deneb 49◦27.3 45◦21.6

Enif 33◦41.2 9◦58.5Alnair 27◦35.9 -46◦51.4

Fomalhaut 15◦17.2 -29◦30.4Scheat 13◦47.5 28◦12.0Markab 13◦32.3 15◦19.4

2021/9/7 SHA Mer.passVenus 156◦32.1 14:29Mars 184◦23.5 12:36

Jupiter 32◦20.5 22:41Saturn 49◦33.8 21:33

2021/9/8 SHA Mer.passVenus 155◦27.7 14:29Mars 183◦48.2 12:35

Jupiter 32◦27.3 22:37Saturn 49◦36.9 21:29

2021/9/9 SHA Mer.passVenus 154◦23.3 14:30Mars 183◦12.9 12:33

Jupiter 32◦33.9 22:33Saturn 49◦39.9 21:25

Horizontal paralaxVenus: 0.1Mars: 0.1

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2021 September 07 to Sep. 09

h Sun MoonTue GHA Dec GHA ν Dec d HP0 180◦28.4 6◦03.8 178◦57.7 11.5 10◦48.5 -13.8 58.11 195◦28.6 6◦02.9 193◦28.2 11.5 10◦34.7 -13.9 58.22 210◦28.8 6◦01.9 207◦58.7 11.5 10◦20.8 -13.9 58.23 225◦29.1 6◦01.0 222◦29.2 11.5 10◦06.8 -14.0 58.24 240◦29.3 6◦00.0 236◦59.7 11.5 9◦52.8 -14.1 58.25 255◦29.5 5◦59.1 251◦30.3 11.6 9◦38.7 -14.1 58.36 270◦29.7 5◦58.2 266◦00.9 11.6 9◦24.6 -14.2 58.37 285◦29.9 5◦57.2 280◦31.5 11.6 9◦10.4 -14.2 58.38 300◦30.1 5◦56.3 295◦02.1 11.6 8◦56.1 -14.3 58.39 315◦30.3 5◦55.4 309◦32.7 11.6 8◦41.8 -14.3 58.410 330◦30.5 5◦54.4 324◦03.3 11.6 8◦27.4 -14.4 58.411 345◦30.8 5◦53.5 338◦34.0 11.7 8◦13.0 -14.5 58.412 0◦31.0 5◦52.6 353◦04.7 11.7 7◦58.5 -14.5 58.413 15◦31.2 5◦51.6 7◦35.3 11.7 7◦44.0 -14.6 58.414 30◦31.4 5◦50.7 22◦06.0 11.7 7◦29.4 -14.6 58.515 45◦31.6 5◦49.7 36◦36.7 11.7 7◦14.8 -14.7 58.516 60◦31.8 5◦48.8 51◦07.5 11.7 7◦00.1 -14.7 58.517 75◦32.0 5◦47.9 65◦38.2 11.7 6◦45.4 -14.8 58.518 90◦32.3 5◦46.9 80◦08.9 11.7 6◦30.6 -14.8 58.619 105◦32.5 5◦46.0 94◦39.7 11.8 6◦15.8 -14.8 58.620 120◦32.7 5◦45.0 109◦10.4 11.8 6◦00.9 -14.9 58.621 135◦32.9 5◦44.1 123◦41.2 11.8 5◦46.0 -14.9 58.622 150◦33.1 5◦43.2 138◦12.0 11.8 5◦31.1 -15.0 58.623 165◦33.3 5◦42.2 152◦42.8 11.8 5◦16.1 -15.0 58.7

SD.=15.9 d=-0.9 S.D.=15.9

Wed GHA Dec GHA ν Dec d HP0 180◦33.5 5◦41.3 167◦13.5 11.8 5◦01.1 -15.0 58.71 195◦33.8 5◦40.3 181◦44.3 11.8 4◦46.0 -15.1 58.72 210◦34.0 5◦39.4 196◦15.1 11.8 4◦31.0 -15.1 58.73 225◦34.2 5◦38.5 210◦45.9 11.8 4◦15.8 -15.1 58.74 240◦34.4 5◦37.5 225◦16.7 11.8 4◦00.7 -15.2 58.85 255◦34.6 5◦36.6 239◦47.5 11.8 3◦45.5 -15.2 58.86 270◦34.8 5◦35.6 254◦18.2 11.8 3◦30.3 -15.2 58.87 285◦35.0 5◦34.7 268◦49.0 11.8 3◦15.1 -15.3 58.88 300◦35.3 5◦33.8 283◦19.8 11.8 2◦59.8 -15.3 58.89 315◦35.5 5◦32.8 297◦50.6 11.8 2◦44.5 -15.3 58.910 330◦35.7 5◦31.9 312◦21.4 11.8 2◦29.2 -15.3 58.911 345◦35.9 5◦30.9 326◦52.1 11.8 2◦13.9 -15.3 58.912 0◦36.1 5◦30.0 341◦22.9 11.8 1◦58.5 -15.4 58.913 15◦36.3 5◦29.1 355◦53.7 11.8 1◦43.1 -15.4 58.914 30◦36.6 5◦28.1 10◦24.4 11.7 1◦27.7 -15.4 58.915 45◦36.8 5◦27.2 24◦55.1 11.7 1◦12.3 -15.4 59.016 60◦37.0 5◦26.2 39◦25.9 11.7 0◦56.9 -15.4 59.017 75◦37.2 5◦25.3 53◦56.6 11.7 0◦41.5 -15.4 59.018 90◦37.4 5◦24.3 68◦27.3 11.7 0◦26.0 -15.5 59.019 105◦37.6 5◦23.4 82◦58.0 11.7 0◦10.6 -15.5 59.020 120◦37.8 5◦22.5 97◦28.7 11.7 -0◦04.9 -15.5 59.021 135◦38.1 5◦21.5 111◦59.3 11.7 -0◦20.4 -15.5 59.122 150◦38.3 5◦20.6 126◦30.0 11.6 -0◦35.8 -15.5 59.123 165◦38.5 5◦19.6 141◦00.6 11.6 -0◦51.3 -15.5 59.1

SD.=15.9 d=-0.9 S.D.=16.0

Thu GHA Dec GHA ν Dec d HP0 180◦38.7 5◦18.7 155◦31.2 11.6 -1◦06.8 -15.5 59.11 195◦38.9 5◦17.7 170◦01.8 11.6 -1◦22.3 -15.5 59.12 210◦39.1 5◦16.8 184◦32.4 11.6 -1◦37.8 -15.5 59.13 225◦39.4 5◦15.8 199◦02.9 11.5 -1◦53.3 -15.5 59.14 240◦39.6 5◦14.9 213◦33.4 11.5 -2◦08.7 -15.5 59.25 255◦39.8 5◦14.0 228◦03.9 11.5 -2◦24.2 -15.5 59.26 270◦40.0 5◦13.0 242◦34.4 11.5 -2◦39.7 -15.5 59.27 285◦40.2 5◦12.1 257◦04.9 11.4 -2◦55.1 -15.5 59.28 300◦40.4 5◦11.1 271◦35.3 11.4 -3◦10.6 -15.4 59.29 315◦40.7 5◦10.2 286◦05.7 11.4 -3◦26.0 -15.4 59.210 330◦40.9 5◦09.2 300◦36.1 11.4 -3◦41.5 -15.4 59.211 345◦41.1 5◦08.3 315◦06.4 11.3 -3◦56.9 -15.4 59.212 0◦41.3 5◦07.3 329◦36.7 11.3 -4◦12.3 -15.4 59.313 15◦41.5 5◦06.4 344◦07.0 11.3 -4◦27.7 -15.4 59.314 30◦41.7 5◦05.5 358◦37.3 11.2 -4◦43.0 -15.4 59.315 45◦42.0 5◦04.5 13◦07.5 11.2 -4◦58.4 -15.3 59.316 60◦42.2 5◦03.6 27◦37.7 11.2 -5◦13.7 -15.3 59.317 75◦42.4 5◦02.6 42◦07.8 11.1 -5◦29.0 -15.3 59.318 90◦42.6 5◦01.7 56◦37.9 11.1 -5◦44.3 -15.3 59.319 105◦42.8 5◦00.7 71◦08.0 11.1 -5◦59.5 -15.2 59.320 120◦43.0 4◦59.8 85◦38.0 11.0 -6◦14.7 -15.2 59.321 135◦43.3 4◦58.8 100◦08.0 11.0 -6◦29.9 -15.2 59.322 150◦43.5 4◦57.9 114◦38.0 10.9 -6◦45.1 -15.1 59.423 165◦43.7 4◦56.9 129◦07.9 10.9 -7◦00.2 -15.1 59.4

SD.=15.9 d=-0.9 S.D.=16.1

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 00:41 03:17 04:36 19:16 20:33 22:5570 01:50 03:37 04:45 19:08 20:15 21:5868 02:24 03:51 04:52 19:01 20:01 21:2666 02:48 04:03 04:58 18:55 19:49 21:0364 03:07 04:13 05:03 18:50 19:40 20:4562 03:21 04:21 05:08 18:46 19:32 20:3160 03:33 04:28 05:12 18:42 19:25 20:1958 03:44 04:34 05:15 18:39 19:19 20:0956 03:52 04:40 05:18 18:36 19:14 20:0154 04:00 04:45 05:21 18:33 19:09 19:5352 04:07 04:49 05:23 18:31 19:05 19:4750 04:13 04:53 05:26 18:29 19:02 19:4145 04:25 05:01 05:30 18:24 18:54 19:2940 04:34 05:07 05:34 18:20 18:47 19:2035 04:42 05:12 05:38 18:17 18:42 19:1230 04:48 05:17 05:41 18:14 18:38 19:0620 04:58 05:24 05:46 18:09 18:31 18:5710 05:05 05:29 05:50 18:05 18:26 18:500 05:09 05:34 05:54 18:01 18:22 18:46-10 05:13 05:37 05:58 17:57 18:18 18:43-20 05:15 05:40 06:02 17:53 18:15 18:41-30 05:15 05:43 06:07 17:49 18:13 18:41-35 05:15 05:44 06:09 17:46 18:12 18:41-40 05:14 05:45 06:12 17:44 18:11 18:42-45 05:12 05:46 06:15 17:40 18:10 18:44-50 05:10 05:47 06:19 17:37 18:09 18:47-52 05:08 05:47 06:21 17:35 18:09 18:48-54 05:07 05:48 06:23 17:33 18:09 18:50-56 05:05 05:48 06:25 17:31 18:08 18:51-58 05:03 05:48 06:27 17:29 18:08 18:54-60 05:00 05:48 06:30 17:26 18:08 18:56

Moonrise MoonsetLat. Tue Wed Thu Tue Wed Thu72 04:05 06:23 08:38 19:57 19:28 18:5870 04:21 06:28 08:33 19:49 19:28 19:0668 04:34 06:32 08:29 19:42 19:28 19:1366 04:45 06:35 08:26 19:37 19:28 19:1964 04:53 06:38 08:23 19:32 19:28 19:2462 05:01 06:40 08:20 19:28 19:28 19:2960 05:07 06:42 08:18 19:24 19:28 19:3258 05:13 06:44 08:16 19:21 19:28 19:3656 05:18 06:46 08:14 19:18 19:28 19:3954 05:22 06:47 08:13 19:15 19:28 19:4252 05:26 06:48 08:12 19:13 19:28 19:4450 05:30 06:50 08:10 19:11 19:28 19:4645 05:37 06:52 08:08 19:06 19:28 19:5140 05:44 06:54 08:05 19:02 19:28 19:5635 05:50 06:56 08:03 18:58 19:28 19:5930 05:54 06:58 08:02 18:55 19:29 20:0220 06:03 07:01 07:59 18:50 19:29 20:0810 06:10 07:03 07:56 18:45 19:28 20:130 06:17 07:05 07:54 18:40 19:28 20:17-10 06:24 07:08 07:52 18:35 19:28 20:22-20 06:31 07:10 07:49 18:30 19:28 20:27-30 06:39 07:13 07:47 18:25 19:28 20:33-35 06:44 07:15 07:45 18:21 19:28 20:36-40 06:50 07:17 07:43 18:17 19:28 20:40-45 06:56 07:19 07:41 18:13 19:28 20:44-50 07:03 07:21 07:39 18:08 19:28 20:49-52 07:07 07:23 07:38 18:05 19:28 20:52-54 07:10 07:24 07:37 18:02 19:28 20:54-56 07:14 07:25 07:36 17:59 19:28 20:57-58 07:19 07:27 07:34 17:56 19:28 21:00-60 07:24 07:29 07:33 17:52 19:27 21:04

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower7 01:54 02:04 11:57 12:28 00:04 0(0%)8 02:14 02:24 11:57 13:16 00:52 1(3%)9 02:35 02:45 11:57 14:05 01:41 2(8%)

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September 10, 11 ,12 (Fri., Sat., Sun.)Aries Venus Mars Jupiter Saturn

Fri GHA GHA Dec GHA Dec GHA Dec GHA Dec0 349◦14.9 142◦33.5 -11◦49.9 171◦52.5 2◦03.9 21◦55.3 -14◦26.7 38◦57.8 -19◦08.51 4◦17.3 157◦33.3 -11◦51.1 186◦53.5 2◦03.3 36◦58.0 -14◦26.8 54◦00.4 -19◦08.52 19◦19.8 172◦33.1 -11◦52.2 201◦54.5 2◦02.6 52◦00.8 -14◦26.9 69◦02.9 -19◦08.63 34◦22.3 187◦32.9 -11◦53.4 216◦55.5 2◦02.0 67◦03.5 -14◦27.0 84◦05.5 -19◦08.64 49◦24.7 202◦32.6 -11◦54.6 231◦56.5 2◦01.3 82◦06.2 -14◦27.1 99◦08.1 -19◦08.65 64◦27.2 217◦32.4 -11◦55.8 246◦57.5 2◦00.7 97◦08.9 -14◦27.2 114◦10.7 -19◦08.76 79◦29.7 232◦32.2 -11◦57.0 261◦58.5 2◦00.0 112◦11.7 -14◦27.3 129◦13.3 -19◦08.77 94◦32.1 247◦31.9 -11◦58.1 276◦59.5 1◦59.4 127◦14.4 -14◦27.4 144◦15.9 -19◦08.78 109◦34.6 262◦31.7 -11◦59.3 292◦00.5 1◦58.7 142◦17.1 -14◦27.5 159◦18.5 -19◦08.89 124◦37.1 277◦31.5 -12◦00.5 307◦01.4 1◦58.0 157◦19.9 -14◦27.5 174◦21.0 -19◦08.810 139◦39.5 292◦31.2 -12◦01.7 322◦02.4 1◦57.4 172◦22.6 -14◦27.6 189◦23.6 -19◦08.811 154◦42.0 307◦31.0 -12◦02.9 337◦03.4 1◦56.7 187◦25.3 -14◦27.7 204◦26.2 -19◦08.912 169◦44.4 322◦30.8 -12◦04.0 352◦04.4 1◦56.1 202◦28.1 -14◦27.8 219◦28.8 -19◦08.913 184◦46.9 337◦30.5 -12◦05.2 7◦05.4 1◦55.4 217◦30.8 -14◦27.9 234◦31.4 -19◦08.914 199◦49.4 352◦30.3 -12◦06.4 22◦06.4 1◦54.8 232◦33.5 -14◦28.0 249◦34.0 -19◦09.015 214◦51.8 7◦30.1 -12◦07.6 37◦07.4 1◦54.1 247◦36.3 -14◦28.1 264◦36.5 -19◦09.016 229◦54.3 22◦29.9 -12◦08.7 52◦08.4 1◦53.5 262◦39.0 -14◦28.2 279◦39.1 -19◦09.017 244◦56.8 37◦29.6 -12◦09.9 67◦09.4 1◦52.8 277◦41.7 -14◦28.3 294◦41.7 -19◦09.018 259◦59.2 52◦29.4 -12◦11.1 82◦10.4 1◦52.1 292◦44.5 -14◦28.4 309◦44.3 -19◦09.119 275◦01.7 67◦29.2 -12◦12.3 97◦11.4 1◦51.5 307◦47.2 -14◦28.5 324◦46.9 -19◦09.120 290◦04.2 82◦28.9 -12◦13.4 112◦12.4 1◦50.8 322◦49.9 -14◦28.5 339◦49.5 -19◦09.121 305◦06.6 97◦28.7 -12◦14.6 127◦13.4 1◦50.2 337◦52.6 -14◦28.6 354◦52.0 -19◦09.222 320◦09.1 112◦28.5 -12◦15.8 142◦14.3 1◦49.5 352◦55.4 -14◦28.7 9◦54.6 -19◦09.223 335◦11.6 127◦28.2 -12◦17.0 157◦15.3 1◦48.9 7◦58.1 -14◦28.8 24◦57.2 -19◦09.2Mer.pass.:0:42: v-0.2 d-1.2 m-4.0 v1.0 d-0.7 m1.7 v2.7 d-0.1 m-2.7 v2.6 d-0.0 m0.4

Sat GHA GHA Dec GHA Dec GHA Dec GHA Dec0 350◦14.0 142◦28.0 -12◦18.1 172◦16.3 1◦48.2 23◦00.8 -14◦28.9 39◦59.8 -19◦09.31 5◦16.5 157◦27.7 -12◦19.3 187◦17.3 1◦47.6 38◦03.6 -14◦29.0 55◦02.4 -19◦09.32 20◦18.9 172◦27.5 -12◦20.5 202◦18.3 1◦46.9 53◦06.3 -14◦29.1 70◦05.0 -19◦09.33 35◦21.4 187◦27.3 -12◦21.6 217◦19.3 1◦46.2 68◦09.0 -14◦29.2 85◦07.5 -19◦09.44 50◦23.9 202◦27.0 -12◦22.8 232◦20.3 1◦45.6 83◦11.7 -14◦29.3 100◦10.1 -19◦09.45 65◦26.3 217◦26.8 -12◦24.0 247◦21.3 1◦44.9 98◦14.5 -14◦29.4 115◦12.7 -19◦09.46 80◦28.8 232◦26.6 -12◦25.2 262◦22.3 1◦44.3 113◦17.2 -14◦29.5 130◦15.3 -19◦09.47 95◦31.3 247◦26.3 -12◦26.3 277◦23.3 1◦43.6 128◦19.9 -14◦29.5 145◦17.9 -19◦09.58 110◦33.7 262◦26.1 -12◦27.5 292◦24.3 1◦43.0 143◦22.7 -14◦29.6 160◦20.5 -19◦09.59 125◦36.2 277◦25.9 -12◦28.7 307◦25.3 1◦42.3 158◦25.4 -14◦29.7 175◦23.0 -19◦09.510 140◦38.7 292◦25.6 -12◦29.8 322◦26.2 1◦41.7 173◦28.1 -14◦29.8 190◦25.6 -19◦09.611 155◦41.1 307◦25.4 -12◦31.0 337◦27.2 1◦41.0 188◦30.8 -14◦29.9 205◦28.2 -19◦09.612 170◦43.6 322◦25.2 -12◦32.2 352◦28.2 1◦40.3 203◦33.6 -14◦30.0 220◦30.8 -19◦09.613 185◦46.1 337◦24.9 -12◦33.3 7◦29.2 1◦39.7 218◦36.3 -14◦30.1 235◦33.4 -19◦09.714 200◦48.5 352◦24.7 -12◦34.5 22◦30.2 1◦39.0 233◦39.0 -14◦30.2 250◦35.9 -19◦09.715 215◦51.0 7◦24.4 -12◦35.7 37◦31.2 1◦38.4 248◦41.7 -14◦30.3 265◦38.5 -19◦09.716 230◦53.4 22◦24.2 -12◦36.8 52◦32.2 1◦37.7 263◦44.5 -14◦30.3 280◦41.1 -19◦09.817 245◦55.9 37◦24.0 -12◦38.0 67◦33.2 1◦37.1 278◦47.2 -14◦30.4 295◦43.7 -19◦09.818 260◦58.4 52◦23.7 -12◦39.2 82◦34.2 1◦36.4 293◦49.9 -14◦30.5 310◦46.3 -19◦09.819 276◦00.8 67◦23.5 -12◦40.3 97◦35.2 1◦35.7 308◦52.6 -14◦30.6 325◦48.8 -19◦09.820 291◦03.3 82◦23.2 -12◦41.5 112◦36.2 1◦35.1 323◦55.4 -14◦30.7 340◦51.4 -19◦09.921 306◦05.8 97◦23.0 -12◦42.7 127◦37.2 1◦34.4 338◦58.1 -14◦30.8 355◦54.0 -19◦09.922 321◦08.2 112◦22.8 -12◦43.8 142◦38.1 1◦33.8 354◦00.8 -14◦30.9 10◦56.6 -19◦09.923 336◦10.7 127◦22.5 -12◦45.0 157◦39.1 1◦33.1 9◦03.5 -14◦31.0 25◦59.2 -19◦10.0Mer.pass.:0:38: v-0.2 d-1.2 m-4.0 v1.0 d-0.7 m1.7 v2.7 d-0.1 m-2.7 v2.6 d-0.0 m0.4

Sun GHA GHA Dec GHA Dec GHA Dec GHA Dec0 351◦13.2 142◦22.3 -12◦46.1 172◦40.1 1◦32.5 24◦06.3 -14◦31.1 41◦01.7 -19◦10.01 6◦15.6 157◦22.0 -12◦47.3 187◦41.1 1◦31.8 39◦09.0 -14◦31.1 56◦04.3 -19◦10.02 21◦18.1 172◦21.8 -12◦48.5 202◦42.1 1◦31.2 54◦11.7 -14◦31.2 71◦06.9 -19◦10.13 36◦20.5 187◦21.6 -12◦49.6 217◦43.1 1◦30.5 69◦14.4 -14◦31.3 86◦09.5 -19◦10.14 51◦23.0 202◦21.3 -12◦50.8 232◦44.1 1◦29.8 84◦17.2 -14◦31.4 101◦12.1 -19◦10.15 66◦25.5 217◦21.1 -12◦51.9 247◦45.1 1◦29.2 99◦19.9 -14◦31.5 116◦14.6 -19◦10.16 81◦27.9 232◦20.8 -12◦53.1 262◦46.1 1◦28.5 114◦22.6 -14◦31.6 131◦17.2 -19◦10.27 96◦30.4 247◦20.6 -12◦54.3 277◦47.1 1◦27.9 129◦25.3 -14◦31.7 146◦19.8 -19◦10.28 111◦32.9 262◦20.4 -12◦55.4 292◦48.1 1◦27.2 144◦28.0 -14◦31.8 161◦22.4 -19◦10.29 126◦35.3 277◦20.1 -12◦56.6 307◦49.0 1◦26.6 159◦30.8 -14◦31.8 176◦25.0 -19◦10.310 141◦37.8 292◦19.9 -12◦57.7 322◦50.0 1◦25.9 174◦33.5 -14◦31.9 191◦27.5 -19◦10.311 156◦40.3 307◦19.6 -12◦58.9 337◦51.0 1◦25.2 189◦36.2 -14◦32.0 206◦30.1 -19◦10.312 171◦42.7 322◦19.4 -13◦00.1 352◦52.0 1◦24.6 204◦38.9 -14◦32.1 221◦32.7 -19◦10.313 186◦45.2 337◦19.1 -13◦01.2 7◦53.0 1◦23.9 219◦41.7 -14◦32.2 236◦35.3 -19◦10.414 201◦47.7 352◦18.9 -13◦02.4 22◦54.0 1◦23.3 234◦44.4 -14◦32.3 251◦37.8 -19◦10.415 216◦50.1 7◦18.7 -13◦03.5 37◦55.0 1◦22.6 249◦47.1 -14◦32.4 266◦40.4 -19◦10.416 231◦52.6 22◦18.4 -13◦04.7 52◦56.0 1◦22.0 264◦49.8 -14◦32.5 281◦43.0 -19◦10.517 246◦55.0 37◦18.2 -13◦05.8 67◦57.0 1◦21.3 279◦52.5 -14◦32.5 296◦45.6 -19◦10.518 261◦57.5 52◦17.9 -13◦07.0 82◦58.0 1◦20.6 294◦55.3 -14◦32.6 311◦48.1 -19◦10.519 276◦60.0 67◦17.7 -13◦08.1 97◦59.0 1◦20.0 309◦58.0 -14◦32.7 326◦50.7 -19◦10.620 292◦02.4 82◦17.4 -13◦09.3 112◦59.9 1◦19.3 325◦00.7 -14◦32.8 341◦53.3 -19◦10.621 307◦04.9 97◦17.2 -13◦10.4 128◦00.9 1◦18.7 340◦03.4 -14◦32.9 356◦55.9 -19◦10.622 322◦07.4 112◦17.0 -13◦11.6 143◦01.9 1◦18.0 355◦06.1 -14◦33.0 11◦58.5 -19◦10.623 337◦09.8 127◦16.7 -13◦12.7 158◦02.9 1◦17.4 10◦08.9 -14◦33.1 27◦01.0 -19◦10.7Mer.pass.:0:35: v-0.2 d-1.2 m-4.0 v1.0 d-0.7 m1.7 v2.7 d-0.1 m-2.7 v2.6 d-0.0 m0.4

StarsSHA Dec

Alpheratz 357◦37.2 29◦12.6Ankaa 353◦09.5 -42◦11.2

Schedar 349◦33.6 56◦39.3Diphda 348◦49.6 -17◦52.0

Achernar 335◦21.8 -57◦07.5Hamal 327◦54.0 23◦33.9Polaris 315◦02.8 89◦21.0Akamar 315◦13.6 -40◦12.9Menkar 314◦08.8 4◦10.5Mirfak 308◦31.9 49◦56.1

Aldebaran 290◦42.7 16◦33.2Rigel 281◦06.5 -8◦10.5

Capella 280◦25.9 46◦01.1Bellatrix 278◦25.8 6◦22.2Elnath 278◦05.3 28◦37.5Alnilam 275◦40.5 -1◦11.2

Betelgeuse 270◦55.1 7◦24.7Canopus 263◦53.8 -52◦42.1

Sirius 258◦28.7 -16◦44.4Adara 255◦08.1 -28◦59.8

Procyon 244◦53.8 5◦10.4Pollux 243◦20.8 27◦58.4Avior 234◦16.3 -59◦34.4Suhail 222◦48.6 -43◦30.9

Miaplacidus 221◦39.6 -69◦48.1Alphard 217◦50.7 -8◦44.9Regulus 207◦37.6 11◦51.9Dubhe 193◦45.1 61◦38.2

Denebola 182◦28.0 14◦27.3Gienah 175◦46.7 -17◦39.5Acrux 173◦03.8 -63◦13.1

Gacrux 171◦55.2 -57◦14.0Alioth 166◦16.0 55◦50.8Spica 158◦25.4 -11◦16.3Alcaid 152◦54.6 49◦12.6Hadar 148◦40.3 -60◦28.7

Menkent 148◦01.1 -36◦28.5Arcturus 145◦50.5 19◦04.7

Rigil Kent. 139◦44.4 -60◦55.5Zubenelg. 136◦59.2 -16◦07.8Kochab 137◦20.5 74◦04.3

Alphecca 126◦06.2 26◦38.8Antares 112◦19.2 -26◦28.7

Atria 107◦15.9 -69◦04.1Sabik 102◦05.9 -15◦45.0

Shaula 96◦14.0 -37◦07.2Rasalhague 96◦01.1 12◦32.9

Etamin 90◦43.4 51◦29.5Kaus Aust. 83◦36.0 -34◦22.5

Vega 80◦35.0 38◦48.5Nunki 75◦51.0 -26◦16.2Altair 62◦02.5 8◦55.6

Peacock 53◦09.6 -56◦40.0Deneb 49◦27.3 45◦21.6

Enif 33◦41.2 9◦58.5Alnair 27◦35.9 -46◦51.4

Fomalhaut 15◦17.2 -29◦30.4Scheat 13◦47.5 28◦12.0Markab 13◦32.3 15◦19.4

2021/9/1 SHA Mer.passVenus 153◦18.7 14:30Mars 182◦37.6 12:32

Jupiter 32◦40.4 22:28Saturn 49◦42.9 21:20

2021/9/1 SHA Mer.passVenus 152◦14.0 14:30Mars 182◦02.3 12:30

Jupiter 32◦46.8 22:24Saturn 49◦45.8 21:16

2021/9/1 SHA Mer.passVenus 151◦09.1 14:31Mars 181◦27.0 12:29

Jupiter 32◦53.1 22:20Saturn 49◦48.6 21:12

Horizontal paralaxVenus: 0.1Mars: 0.1

170

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2021 September 10 to Sep. 12

h Sun MoonFri GHA Dec GHA ν Dec d HP0 180◦43.9 4◦56.0 143◦37.8 10.9 -7◦15.3 -15.1 59.41 195◦44.1 4◦55.0 158◦07.6 10.8 -7◦30.4 -15.0 59.42 210◦44.4 4◦54.1 172◦37.4 10.8 -7◦45.4 -15.0 59.43 225◦44.6 4◦53.1 187◦07.1 10.7 -8◦00.4 -15.0 59.44 240◦44.8 4◦52.2 201◦36.8 10.7 -8◦15.4 -14.9 59.45 255◦45.0 4◦51.2 216◦06.5 10.6 -8◦30.3 -14.9 59.46 270◦45.2 4◦50.3 230◦36.1 10.6 -8◦45.1 -14.8 59.47 285◦45.4 4◦49.4 245◦05.6 10.5 -8◦59.9 -14.8 59.48 300◦45.7 4◦48.4 259◦35.1 10.5 -9◦14.7 -14.7 59.49 315◦45.9 4◦47.5 274◦04.6 10.4 -9◦29.4 -14.7 59.410 330◦46.1 4◦46.5 288◦34.0 10.4 -9◦44.1 -14.6 59.411 345◦46.3 4◦45.6 303◦03.3 10.3 -9◦58.7 -14.6 59.412 0◦46.5 4◦44.6 317◦32.6 10.3 -10◦13.3 -14.5 59.513 15◦46.8 4◦43.7 332◦01.9 10.2 -10◦27.8 -14.5 59.514 30◦47.0 4◦42.7 346◦31.1 10.2 -10◦42.3 -14.4 59.515 45◦47.2 4◦41.8 1◦00.2 10.1 -10◦56.7 -14.4 59.516 60◦47.4 4◦40.8 15◦29.3 10.0 -11◦11.0 -14.3 59.517 75◦47.6 4◦39.9 29◦58.3 10.0 -11◦25.3 -14.3 59.518 90◦47.8 4◦38.9 44◦27.3 9.9 -11◦39.5 -14.2 59.519 105◦48.1 4◦38.0 58◦56.2 9.9 -11◦53.7 -14.1 59.520 120◦48.3 4◦37.0 73◦25.0 9.8 -12◦07.8 -14.1 59.521 135◦48.5 4◦36.1 87◦53.8 9.8 -12◦21.8 -14.0 59.522 150◦48.7 4◦35.1 102◦22.5 9.7 -12◦35.7 -13.9 59.523 165◦48.9 4◦34.2 116◦51.2 9.6 -12◦49.6 -13.9 59.5

SD.=15.9 d=-0.9 S.D.=16.2

Sat GHA Dec GHA ν Dec d HP0 180◦49.2 4◦33.2 131◦19.8 9.6 -13◦03.4 -13.8 59.51 195◦49.4 4◦32.3 145◦48.3 9.5 -13◦17.2 -13.7 59.52 210◦49.6 4◦31.3 160◦16.8 9.4 -13◦30.9 -13.6 59.53 225◦49.8 4◦30.4 174◦45.2 9.4 -13◦44.4 -13.6 59.54 240◦50.0 4◦29.4 189◦13.5 9.3 -13◦58.0 -13.5 59.55 255◦50.3 4◦28.5 203◦41.8 9.2 -14◦11.4 -13.4 59.56 270◦50.5 4◦27.5 218◦10.0 9.2 -14◦24.7 -13.3 59.57 285◦50.7 4◦26.6 232◦38.2 9.1 -14◦38.0 -13.2 59.58 300◦50.9 4◦25.6 247◦06.2 9.0 -14◦51.2 -13.1 59.59 315◦51.1 4◦24.6 261◦34.2 9.0 -15◦04.3 -13.1 59.510 330◦51.4 4◦23.7 276◦02.2 8.9 -15◦17.3 -13.0 59.511 345◦51.6 4◦22.7 290◦30.0 8.8 -15◦30.2 -12.9 59.512 0◦51.8 4◦21.8 304◦57.8 8.8 -15◦43.1 -12.8 59.513 15◦52.0 4◦20.8 319◦25.6 8.7 -15◦55.8 -12.7 59.514 30◦52.2 4◦19.9 333◦53.2 8.6 -16◦08.4 -12.6 59.515 45◦52.5 4◦18.9 348◦20.8 8.6 -16◦21.0 -12.5 59.516 60◦52.7 4◦18.0 2◦48.3 8.5 -16◦33.4 -12.4 59.517 75◦52.9 4◦17.0 17◦15.8 8.4 -16◦45.8 -12.3 59.518 90◦53.1 4◦16.1 31◦43.2 8.3 -16◦58.1 -12.2 59.519 105◦53.3 4◦15.1 46◦10.5 8.3 -17◦10.2 -12.1 59.520 120◦53.6 4◦14.2 60◦37.7 8.2 -17◦22.3 -12.0 59.521 135◦53.8 4◦13.2 75◦04.9 8.1 -17◦34.2 -11.9 59.522 150◦54.0 4◦12.3 89◦31.9 8.1 -17◦46.0 -11.8 59.523 165◦54.2 4◦11.3 103◦59.0 8.0 -17◦57.8 -11.7 59.5

SD.=15.9 d=-1.0 S.D.=16.2

Sun GHA Dec GHA ν Dec d HP0 180◦54.4 4◦10.4 118◦25.9 7.9 -18◦09.4 -11.6 59.51 195◦54.7 4◦09.4 132◦52.8 7.8 -18◦20.9 -11.5 59.52 210◦54.9 4◦08.4 147◦19.6 7.8 -18◦32.3 -11.3 59.53 225◦55.1 4◦07.5 161◦46.3 7.7 -18◦43.6 -11.2 59.54 240◦55.3 4◦06.5 176◦12.9 7.6 -18◦54.8 -11.1 59.55 255◦55.5 4◦05.6 190◦39.5 7.5 -19◦05.8 -11.0 59.56 270◦55.8 4◦04.6 205◦06.0 7.5 -19◦16.8 -10.9 59.57 285◦56.0 4◦03.7 219◦32.4 7.4 -19◦27.6 -10.8 59.58 300◦56.2 4◦02.7 233◦58.8 7.3 -19◦38.3 -10.6 59.59 315◦56.4 4◦01.8 248◦25.1 7.2 -19◦48.9 -10.5 59.510 330◦56.6 4◦00.8 262◦51.3 7.2 -19◦59.3 -10.4 59.511 345◦56.9 3◦59.9 277◦17.4 7.1 -20◦09.7 -10.3 59.412 0◦57.1 3◦58.9 291◦43.5 7.0 -20◦19.9 -10.1 59.413 15◦57.3 3◦57.9 306◦09.5 7.0 -20◦29.9 -10.0 59.414 30◦57.5 3◦57.0 320◦35.4 6.9 -20◦39.9 -9.9 59.415 45◦57.8 3◦56.0 335◦01.3 6.8 -20◦49.7 -9.7 59.416 60◦58.0 3◦55.1 349◦27.0 6.7 -20◦59.4 -9.6 59.417 75◦58.2 3◦54.1 3◦52.8 6.7 -21◦08.9 -9.5 59.418 90◦58.4 3◦53.2 18◦18.4 6.6 -21◦18.3 -9.3 59.419 105◦58.6 3◦52.2 32◦44.0 6.5 -21◦27.6 -9.2 59.420 120◦58.9 3◦51.3 47◦09.5 6.5 -21◦36.8 -9.1 59.421 135◦59.1 3◦50.3 61◦34.9 6.4 -21◦45.8 -8.9 59.422 150◦59.3 3◦49.3 76◦00.3 6.3 -21◦54.6 -8.8 59.423 165◦59.5 3◦48.4 90◦25.6 6.3 -22◦03.3 -8.7 59.4

SD.=15.9 d=-1.0 S.D.=16.2

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 01:30 03:35 04:50 19:00 20:15 22:1370 02:14 03:51 04:57 18:54 19:59 21:3368 02:42 04:03 05:03 18:48 19:47 21:0766 03:02 04:14 05:08 18:43 19:37 20:4764 03:18 04:22 05:12 18:39 19:29 20:3262 03:31 04:30 05:16 18:36 19:22 20:1960 03:42 04:36 05:19 18:33 19:16 20:0958 03:52 04:41 05:22 18:30 19:10 19:6056 03:59 04:46 05:24 18:28 19:06 19:5254 04:06 04:50 05:26 18:26 19:02 19:4552 04:12 04:54 05:28 18:24 18:58 19:3950 04:18 04:57 05:30 18:22 18:55 19:3445 04:29 05:04 05:34 18:18 18:48 19:2340 04:38 05:10 05:37 18:15 18:42 19:1535 04:45 05:15 05:40 18:12 18:38 19:0830 04:50 05:18 05:42 18:10 18:34 19:0220 04:59 05:24 05:47 18:06 18:28 18:5410 05:05 05:29 05:50 18:03 18:24 18:480 05:09 05:33 05:53 17:60 18:21 18:45-10 05:11 05:35 05:56 17:57 18:18 18:42-20 05:12 05:38 05:60 17:54 18:16 18:41-30 05:12 05:39 06:03 17:50 18:14 18:42-35 05:11 05:40 06:05 17:49 18:14 18:43-40 05:09 05:40 06:07 17:46 18:13 18:45-45 05:07 05:41 06:10 17:44 18:13 18:47-50 05:03 05:41 06:13 17:41 18:13 18:51-52 05:01 05:41 06:14 17:40 18:14 18:53-54 04:59 05:40 06:16 17:39 18:14 18:55-56 04:57 05:40 06:17 17:37 18:14 18:57-58 04:54 05:40 06:19 17:35 18:14 19:00-60 04:51 05:40 06:21 17:33 18:15 19:03

Moonrise MoonsetLat. Fri Sat Sun Fri Sat Sun72 11:01 14:01 –:– 18:21 17:12 –:–70 10:44 13:13 –:– 18:41 18:02 –:–68 10:30 12:43 15:31 18:57 18:34 17:4266 10:19 12:21 14:36 19:10 18:57 18:3864 10:10 12:03 14:03 19:20 19:16 19:1262 10:03 11:49 13:39 19:29 19:32 19:3660 09:56 11:37 13:20 19:37 19:45 19:5658 09:50 11:26 13:04 19:45 19:56 20:1356 09:45 11:17 12:51 19:51 20:06 20:2654 09:40 11:10 12:39 19:56 20:14 20:3952 09:36 11:02 12:29 20:01 20:22 20:4950 09:32 10:56 12:20 20:06 20:29 20:5945 09:24 10:42 12:01 20:16 20:45 21:1940 09:18 10:31 11:46 20:24 20:57 21:3535 09:12 10:22 11:33 20:32 21:08 21:4930 09:07 10:14 11:22 20:38 21:17 22:0220 08:58 09:59 11:02 20:49 21:34 22:2210 08:51 09:47 10:46 20:59 21:48 22:410 08:44 09:36 10:30 21:08 22:01 22:58-10 08:37 09:24 10:15 21:17 22:15 23:15-20 08:30 09:12 09:59 21:27 22:29 23:33-30 08:21 08:59 09:40 21:38 22:46 23:54-35 08:17 08:51 09:30 21:45 22:56 –:–-40 08:11 08:42 09:17 21:53 23:07 –:–-45 08:05 08:32 09:03 22:01 23:20 –:–-50 07:58 08:19 08:45 22:12 23:36 –:–-52 07:55 08:13 08:37 22:17 23:43 –:–-54 07:51 08:07 08:28 22:22 23:52 –:–-56 07:47 08:00 08:18 22:28 –:– 00:01-58 07:42 07:52 08:06 22:35 –:– 00:12-60 07:37 07:44 07:53 22:43 –:– 00:25

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower10 02:56 03:06 11:56 14:55 02:30 3(15%)11 03:17 03:27 11:56 15:48 03:21 4(24%)12 03:38 03:48 11:56 16:43 04:15 5(35%)

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September 13, 14 ,15 (Mon., Tue., Wed.)Aries Venus Mars Jupiter Saturn

Mon GHA GHA Dec GHA Dec GHA Dec GHA Dec0 352◦12.3 142◦16.5 -13◦13.9 173◦03.9 1◦16.7 25◦11.6 -14◦33.1 42◦03.6 -19◦10.71 7◦14.8 157◦16.2 -13◦15.0 188◦04.9 1◦16.1 40◦14.3 -14◦33.2 57◦06.2 -19◦10.72 22◦17.2 172◦16.0 -13◦16.2 203◦05.9 1◦15.4 55◦17.0 -14◦33.3 72◦08.8 -19◦10.83 37◦19.7 187◦15.7 -13◦17.3 218◦06.9 1◦14.7 70◦19.7 -14◦33.4 87◦11.3 -19◦10.84 52◦22.2 202◦15.5 -13◦18.5 233◦07.9 1◦14.1 85◦22.4 -14◦33.5 102◦13.9 -19◦10.85 67◦24.6 217◦15.2 -13◦19.6 248◦08.9 1◦13.4 100◦25.2 -14◦33.6 117◦16.5 -19◦10.86 82◦27.1 232◦15.0 -13◦20.8 263◦09.9 1◦12.8 115◦27.9 -14◦33.7 132◦19.1 -19◦10.97 97◦29.5 247◦14.7 -13◦21.9 278◦10.8 1◦12.1 130◦30.6 -14◦33.7 147◦21.6 -19◦10.98 112◦32.0 262◦14.5 -13◦23.1 293◦11.8 1◦11.5 145◦33.3 -14◦33.8 162◦24.2 -19◦10.99 127◦34.5 277◦14.2 -13◦24.2 308◦12.8 1◦10.8 160◦36.0 -14◦33.9 177◦26.8 -19◦11.010 142◦36.9 292◦14.0 -13◦25.4 323◦13.8 1◦10.1 175◦38.8 -14◦34.0 192◦29.4 -19◦11.011 157◦39.4 307◦13.7 -13◦26.5 338◦14.8 1◦09.5 190◦41.5 -14◦34.1 207◦31.9 -19◦11.012 172◦41.9 322◦13.5 -13◦27.7 353◦15.8 1◦08.8 205◦44.2 -14◦34.2 222◦34.5 -19◦11.013 187◦44.3 337◦13.2 -13◦28.8 8◦16.8 1◦08.2 220◦46.9 -14◦34.3 237◦37.1 -19◦11.114 202◦46.8 352◦13.0 -13◦30.0 23◦17.8 1◦07.5 235◦49.6 -14◦34.3 252◦39.7 -19◦11.115 217◦49.3 7◦12.7 -13◦31.1 38◦18.8 1◦06.8 250◦52.3 -14◦34.4 267◦42.2 -19◦11.116 232◦51.7 22◦12.5 -13◦32.2 53◦19.8 1◦06.2 265◦55.0 -14◦34.5 282◦44.8 -19◦11.217 247◦54.2 37◦12.3 -13◦33.4 68◦20.7 1◦05.5 280◦57.8 -14◦34.6 297◦47.4 -19◦11.218 262◦56.6 52◦12.0 -13◦34.5 83◦21.7 1◦04.9 296◦00.5 -14◦34.7 312◦50.0 -19◦11.219 277◦59.1 67◦11.8 -13◦35.7 98◦22.7 1◦04.2 311◦03.2 -14◦34.8 327◦52.5 -19◦11.220 293◦01.6 82◦11.5 -13◦36.8 113◦23.7 1◦03.6 326◦05.9 -14◦34.9 342◦55.1 -19◦11.321 308◦04.0 97◦11.2 -13◦38.0 128◦24.7 1◦02.9 341◦08.6 -14◦34.9 357◦57.7 -19◦11.322 323◦06.5 112◦11.0 -13◦39.1 143◦25.7 1◦02.2 356◦11.3 -14◦35.0 13◦00.2 -19◦11.323 338◦09.0 127◦10.7 -13◦40.2 158◦26.7 1◦01.6 11◦14.0 -14◦35.1 28◦02.8 -19◦11.4Mer.pass.:0:31: v-0.2 d-1.2 m-4.0 v1.0 d-0.7 m1.7 v2.7 d-0.1 m-2.7 v2.6 d-0.0 m0.4

Tue GHA GHA Dec GHA Dec GHA Dec GHA Dec0 353◦11.4 142◦10.5 -13◦41.4 173◦27.7 1◦00.9 26◦16.8 -14◦35.2 43◦05.4 -19◦11.41 8◦13.9 157◦10.2 -13◦42.5 188◦28.7 1◦00.3 41◦19.5 -14◦35.3 58◦08.0 -19◦11.42 23◦16.4 172◦10.0 -13◦43.7 203◦29.7 0◦59.6 56◦22.2 -14◦35.4 73◦10.5 -19◦11.43 38◦18.8 187◦09.7 -13◦44.8 218◦30.6 0◦59.0 71◦24.9 -14◦35.4 88◦13.1 -19◦11.54 53◦21.3 202◦09.5 -13◦45.9 233◦31.6 0◦58.3 86◦27.6 -14◦35.5 103◦15.7 -19◦11.55 68◦23.8 217◦09.2 -13◦47.1 248◦32.6 0◦57.6 101◦30.3 -14◦35.6 118◦18.2 -19◦11.56 83◦26.2 232◦09.0 -13◦48.2 263◦33.6 0◦57.0 116◦33.0 -14◦35.7 133◦20.8 -19◦11.57 98◦28.7 247◦08.7 -13◦49.3 278◦34.6 0◦56.3 131◦35.8 -14◦35.8 148◦23.4 -19◦11.68 113◦31.1 262◦08.5 -13◦50.5 293◦35.6 0◦55.7 146◦38.5 -14◦35.9 163◦26.0 -19◦11.69 128◦33.6 277◦08.2 -13◦51.6 308◦36.6 0◦55.0 161◦41.2 -14◦35.9 178◦28.5 -19◦11.610 143◦36.1 292◦08.0 -13◦52.7 323◦37.6 0◦54.4 176◦43.9 -14◦36.0 193◦31.1 -19◦11.711 158◦38.5 307◦07.7 -13◦53.9 338◦38.6 0◦53.7 191◦46.6 -14◦36.1 208◦33.7 -19◦11.712 173◦41.0 322◦07.5 -13◦55.0 353◦39.5 0◦53.0 206◦49.3 -14◦36.2 223◦36.2 -19◦11.713 188◦43.5 337◦07.2 -13◦56.1 8◦40.5 0◦52.4 221◦52.0 -14◦36.3 238◦38.8 -19◦11.714 203◦45.9 352◦07.0 -13◦57.3 23◦41.5 0◦51.7 236◦54.7 -14◦36.4 253◦41.4 -19◦11.815 218◦48.4 7◦06.7 -13◦58.4 38◦42.5 0◦51.1 251◦57.4 -14◦36.4 268◦44.0 -19◦11.816 233◦50.9 22◦06.4 -13◦59.5 53◦43.5 0◦50.4 267◦00.2 -14◦36.5 283◦46.5 -19◦11.817 248◦53.3 37◦06.2 -14◦00.7 68◦44.5 0◦49.8 282◦02.9 -14◦36.6 298◦49.1 -19◦11.918 263◦55.8 52◦05.9 -14◦01.8 83◦45.5 0◦49.1 297◦05.6 -14◦36.7 313◦51.7 -19◦11.919 278◦58.3 67◦05.7 -14◦02.9 98◦46.5 0◦48.4 312◦08.3 -14◦36.8 328◦54.2 -19◦11.920 294◦00.7 82◦05.4 -14◦04.1 113◦47.5 0◦47.8 327◦11.0 -14◦36.9 343◦56.8 -19◦11.921 309◦03.2 97◦05.2 -14◦05.2 128◦48.4 0◦47.1 342◦13.7 -14◦36.9 358◦59.4 -19◦12.022 324◦05.6 112◦04.9 -14◦06.3 143◦49.4 0◦46.5 357◦16.4 -14◦37.0 14◦01.9 -19◦12.023 339◦08.1 127◦04.7 -14◦07.4 158◦50.4 0◦45.8 12◦19.1 -14◦37.1 29◦04.5 -19◦12.0Mer.pass.:0:27: v-0.3 d-1.1 m-4.0 v1.0 d-0.7 m1.7 v2.7 d-0.1 m-2.7 v2.6 d-0.0 m0.4

Wed GHA GHA Dec GHA Dec GHA Dec GHA Dec0 354◦10.6 142◦04.4 -14◦08.6 173◦51.4 0◦45.1 27◦21.8 -14◦37.2 44◦07.1 -19◦12.01 9◦13.0 157◦04.1 -14◦09.7 188◦52.4 0◦44.5 42◦24.5 -14◦37.3 59◦09.7 -19◦12.12 24◦15.5 172◦03.9 -14◦10.8 203◦53.4 0◦43.8 57◦27.2 -14◦37.3 74◦12.2 -19◦12.13 39◦18.0 187◦03.6 -14◦11.9 218◦54.4 0◦43.2 72◦29.9 -14◦37.4 89◦14.8 -19◦12.14 54◦20.4 202◦03.4 -14◦13.1 233◦55.4 0◦42.5 87◦32.7 -14◦37.5 104◦17.4 -19◦12.25 69◦22.9 217◦03.1 -14◦14.2 248◦56.4 0◦41.9 102◦35.4 -14◦37.6 119◦19.9 -19◦12.26 84◦25.4 232◦02.8 -14◦15.3 263◦57.3 0◦41.2 117◦38.1 -14◦37.7 134◦22.5 -19◦12.27 99◦27.8 247◦02.6 -14◦16.4 278◦58.3 0◦40.5 132◦40.8 -14◦37.8 149◦25.1 -19◦12.28 114◦30.3 262◦02.3 -14◦17.6 293◦59.3 0◦39.9 147◦43.5 -14◦37.8 164◦27.6 -19◦12.39 129◦32.8 277◦02.1 -14◦18.7 309◦00.3 0◦39.2 162◦46.2 -14◦37.9 179◦30.2 -19◦12.310 144◦35.2 292◦01.8 -14◦19.8 324◦01.3 0◦38.6 177◦48.9 -14◦38.0 194◦32.8 -19◦12.311 159◦37.7 307◦01.5 -14◦20.9 339◦02.3 0◦37.9 192◦51.6 -14◦38.1 209◦35.3 -19◦12.312 174◦40.1 322◦01.3 -14◦22.1 354◦03.3 0◦37.2 207◦54.3 -14◦38.2 224◦37.9 -19◦12.413 189◦42.6 337◦01.0 -14◦23.2 9◦04.3 0◦36.6 222◦57.0 -14◦38.2 239◦40.5 -19◦12.414 204◦45.1 352◦00.8 -14◦24.3 24◦05.3 0◦35.9 237◦59.7 -14◦38.3 254◦43.0 -19◦12.415 219◦47.5 7◦00.5 -14◦25.4 39◦06.2 0◦35.3 253◦02.4 -14◦38.4 269◦45.6 -19◦12.416 234◦50.0 22◦00.2 -14◦26.5 54◦07.2 0◦34.6 268◦05.1 -14◦38.5 284◦48.2 -19◦12.517 249◦52.5 36◦60.0 -14◦27.7 69◦08.2 0◦34.0 283◦07.8 -14◦38.6 299◦50.7 -19◦12.518 264◦54.9 51◦59.7 -14◦28.8 84◦09.2 0◦33.3 298◦10.5 -14◦38.6 314◦53.3 -19◦12.519 279◦57.4 66◦59.5 -14◦29.9 99◦10.2 0◦32.6 313◦13.2 -14◦38.7 329◦55.9 -19◦12.620 294◦59.9 81◦59.2 -14◦31.0 114◦11.2 0◦32.0 328◦15.9 -14◦38.8 344◦58.4 -19◦12.621 310◦02.3 96◦58.9 -14◦32.1 129◦12.2 0◦31.3 343◦18.6 -14◦38.9 0◦01.0 -19◦12.622 325◦04.8 111◦58.7 -14◦33.2 144◦13.2 0◦30.7 358◦21.4 -14◦39.0 15◦03.6 -19◦12.623 340◦07.3 126◦58.4 -14◦34.4 159◦14.1 0◦30.0 13◦24.1 -14◦39.0 30◦06.1 -19◦12.7Mer.pass.:0:23: v-0.3 d-1.1 m-4.0 v1.0 d-0.7 m1.7 v2.7 d-0.1 m-2.6 v2.6 d-0.0 m0.4

StarsSHA Dec

Alpheratz 357◦37.2 29◦12.6Ankaa 353◦09.4 -42◦11.2

Schedar 349◦33.5 56◦39.3Diphda 348◦49.6 -17◦52.0

Achernar 335◦21.8 -57◦07.5Hamal 327◦54.0 23◦33.9Polaris 315◦01.3 89◦21.0Akamar 315◦13.6 -40◦12.9Menkar 314◦08.8 4◦10.5Mirfak 308◦31.9 49◦56.1

Aldebaran 290◦42.7 16◦33.2Rigel 281◦06.5 -8◦10.5

Capella 280◦25.9 46◦01.1Bellatrix 278◦25.8 6◦22.2Elnath 278◦05.3 28◦37.5Alnilam 275◦40.5 -1◦11.2

Betelgeuse 270◦55.1 7◦24.7Canopus 263◦53.7 -52◦42.1

Sirius 258◦28.6 -16◦44.4Adara 255◦08.1 -28◦59.8

Procyon 244◦53.8 5◦10.4Pollux 243◦20.7 27◦58.4Avior 234◦16.2 -59◦34.4Suhail 222◦48.6 -43◦30.9

Miaplacidus 221◦39.5 -69◦48.1Alphard 217◦50.7 -8◦44.9Regulus 207◦37.6 11◦51.9Dubhe 193◦45.0 61◦38.2

Denebola 182◦28.0 14◦27.3Gienah 175◦46.7 -17◦39.5Acrux 173◦03.7 -63◦13.1

Gacrux 171◦55.2 -57◦14.0Alioth 166◦16.0 55◦50.8Spica 158◦25.4 -11◦16.3Alcaid 152◦54.6 49◦12.6Hadar 148◦40.3 -60◦28.7

Menkent 148◦01.1 -36◦28.5Arcturus 145◦50.5 19◦04.7

Rigil Kent. 139◦44.4 -60◦55.5Zubenelg. 136◦59.2 -16◦07.8Kochab 137◦20.6 74◦04.3

Alphecca 126◦06.2 26◦38.8Antares 112◦19.2 -26◦28.7

Atria 107◦16.0 -69◦04.1Sabik 102◦05.9 -15◦45.0

Shaula 96◦14.1 -37◦07.2Rasalhague 96◦01.1 12◦32.9

Etamin 90◦43.4 51◦29.5Kaus Aust. 83◦36.0 -34◦22.5

Vega 80◦35.0 38◦48.5Nunki 75◦51.0 -26◦16.2Altair 62◦02.5 8◦55.6

Peacock 53◦09.6 -56◦40.0Deneb 49◦27.3 45◦21.6

Enif 33◦41.2 9◦58.6Alnair 27◦35.9 -46◦51.4

Fomalhaut 15◦17.2 -29◦30.4Scheat 13◦47.5 28◦12.1Markab 13◦32.3 15◦19.4

2021/9/1 SHA Mer.passVenus 150◦04.2 14:31Mars 180◦51.6 12:27

Jupiter 32◦59.3 22:15Saturn 49◦51.3 21:08

2021/9/1 SHA Mer.passVenus 148◦59.1 14:32Mars 180◦16.2 12:25

Jupiter 33◦05.3 22:11Saturn 49◦54.0 21:04

2021/9/1 SHA Mer.passVenus 147◦53.8 14:32Mars 179◦40.8 12:24

Jupiter 33◦11.3 22:07Saturn 49◦56.5 20:60

Horizontal paralaxVenus: 0.1Mars: 0.1

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2021 September 13 to Sep. 15

h Sun MoonMon GHA Dec GHA ν Dec d HP0 180◦59.7 3◦47.4 104◦50.8 6.2 -22◦11.9 -8.5 59.41 195◦60.0 3◦46.5 119◦16.0 6.1 -22◦20.4 -8.4 59.42 211◦00.2 3◦45.5 133◦41.1 6.1 -22◦28.7 -8.2 59.43 226◦00.4 3◦44.6 148◦06.1 6.0 -22◦36.8 -8.1 59.34 241◦00.6 3◦43.6 162◦31.1 5.9 -22◦44.8 -7.9 59.35 256◦00.9 3◦42.6 176◦56.0 5.9 -22◦52.6 -7.8 59.36 271◦01.1 3◦41.7 191◦20.9 5.8 -23◦00.3 -7.6 59.37 286◦01.3 3◦40.7 205◦45.7 5.8 -23◦07.9 -7.5 59.38 301◦01.5 3◦39.8 220◦10.4 5.7 -23◦15.3 -7.3 59.39 316◦01.7 3◦38.8 234◦35.1 5.6 -23◦22.5 -7.2 59.310 331◦02.0 3◦37.9 248◦59.7 5.6 -23◦29.6 -7.0 59.311 346◦02.2 3◦36.9 263◦24.3 5.5 -23◦36.6 -6.9 59.312 1◦02.4 3◦35.9 277◦48.8 5.5 -23◦43.4 -6.7 59.313 16◦02.6 3◦35.0 292◦13.2 5.4 -23◦50.0 -6.5 59.314 31◦02.9 3◦34.0 306◦37.6 5.4 -23◦56.5 -6.4 59.315 46◦03.1 3◦33.1 321◦02.0 5.3 -24◦02.8 -6.2 59.216 61◦03.3 3◦32.1 335◦26.3 5.3 -24◦08.9 -6.1 59.217 76◦03.5 3◦31.1 349◦50.5 5.2 -24◦14.9 -5.9 59.218 91◦03.7 3◦30.2 4◦14.7 5.2 -24◦20.7 -5.7 59.219 106◦04.0 3◦29.2 18◦38.9 5.1 -24◦26.4 -5.6 59.220 121◦04.2 3◦28.3 33◦03.0 5.1 -24◦31.9 -5.4 59.221 136◦04.4 3◦27.3 47◦27.1 5.1 -24◦37.3 -5.3 59.222 151◦04.6 3◦26.4 61◦51.1 5.0 -24◦42.4 -5.1 59.223 166◦04.9 3◦25.4 76◦15.1 5.0 -24◦47.4 -4.9 59.2

SD.=15.9 d=-1.0 S.D.=16.2

Tue GHA Dec GHA ν Dec d HP0 181◦05.1 3◦24.4 90◦39.1 4.9 -24◦52.3 -4.8 59.21 196◦05.3 3◦23.5 105◦03.0 4.9 -24◦57.0 -4.6 59.12 211◦05.5 3◦22.5 119◦26.9 4.9 -25◦01.5 -4.4 59.13 226◦05.7 3◦21.6 133◦50.7 4.8 -25◦05.8 -4.3 59.14 241◦06.0 3◦20.6 148◦14.6 4.8 -25◦10.0 -4.1 59.15 256◦06.2 3◦19.6 162◦38.4 4.8 -25◦14.0 -3.9 59.16 271◦06.4 3◦18.7 177◦02.1 4.8 -25◦17.9 -3.8 59.17 286◦06.6 3◦17.7 191◦25.9 4.7 -25◦21.5 -3.6 59.18 301◦06.9 3◦16.8 205◦49.6 4.7 -25◦25.0 -3.4 59.19 316◦07.1 3◦15.8 220◦13.3 4.7 -25◦28.4 -3.2 59.110 331◦07.3 3◦14.8 234◦36.9 4.7 -25◦31.5 -3.1 59.111 346◦07.5 3◦13.9 249◦00.6 4.6 -25◦34.5 -2.9 59.012 1◦07.8 3◦12.9 263◦24.2 4.6 -25◦37.3 -2.7 59.013 16◦08.0 3◦12.0 277◦47.8 4.6 -25◦40.0 -2.6 59.014 31◦08.2 3◦11.0 292◦11.4 4.6 -25◦42.4 -2.4 59.015 46◦08.4 3◦10.0 306◦35.0 4.6 -25◦44.7 -2.2 59.016 61◦08.6 3◦09.1 320◦58.6 4.6 -25◦46.8 -2.0 59.017 76◦08.9 3◦08.1 335◦22.2 4.6 -25◦48.8 -1.9 59.018 91◦09.1 3◦07.2 349◦45.8 4.6 -25◦50.6 -1.7 59.019 106◦09.3 3◦06.2 4◦09.4 4.6 -25◦52.2 -1.5 58.920 121◦09.5 3◦05.2 18◦32.9 4.6 -25◦53.6 -1.3 58.921 136◦09.8 3◦04.3 32◦56.5 4.6 -25◦54.9 -1.2 58.922 151◦10.0 3◦03.3 47◦20.1 4.6 -25◦55.9 -1.0 58.923 166◦10.2 3◦02.3 61◦43.6 4.6 -25◦56.9 -0.8 58.9

SD.=15.9 d=-1.0 S.D.=16.1

Wed GHA Dec GHA ν Dec d HP0 181◦10.4 3◦01.4 76◦07.2 4.6 -25◦57.6 -0.7 58.91 196◦10.7 3◦00.4 90◦30.8 4.6 -25◦58.2 -0.5 58.92 211◦10.9 2◦59.5 104◦54.4 4.6 -25◦58.5 -0.3 58.93 226◦11.1 2◦58.5 119◦18.0 4.6 -25◦58.8 -0.1 58.84 241◦11.3 2◦57.5 133◦41.6 4.6 -25◦58.8 0.0 58.85 256◦11.5 2◦56.6 148◦05.3 4.7 -25◦58.7 0.2 58.86 271◦11.8 2◦55.6 162◦28.9 4.7 -25◦58.4 0.4 58.87 286◦12.0 2◦54.7 176◦52.6 4.7 -25◦57.9 0.6 58.88 301◦12.2 2◦53.7 191◦16.3 4.7 -25◦57.3 0.7 58.89 316◦12.4 2◦52.7 205◦40.1 4.7 -25◦56.4 0.9 58.810 331◦12.7 2◦51.8 220◦03.8 4.8 -25◦55.5 1.1 58.711 346◦12.9 2◦50.8 234◦27.6 4.8 -25◦54.3 1.2 58.712 1◦13.1 2◦49.8 248◦51.4 4.8 -25◦53.0 1.4 58.713 16◦13.3 2◦48.9 263◦15.3 4.9 -25◦51.5 1.6 58.714 31◦13.6 2◦47.9 277◦39.1 4.9 -25◦49.8 1.8 58.715 46◦13.8 2◦47.0 292◦03.0 4.9 -25◦48.0 1.9 58.716 61◦14.0 2◦46.0 306◦27.0 5.0 -25◦45.9 2.1 58.717 76◦14.2 2◦45.0 320◦51.0 5.0 -25◦43.8 2.3 58.618 91◦14.4 2◦44.1 335◦15.0 5.1 -25◦41.4 2.4 58.619 106◦14.7 2◦43.1 349◦39.1 5.1 -25◦38.9 2.6 58.620 121◦14.9 2◦42.1 4◦03.2 5.1 -25◦36.2 2.8 58.621 136◦15.1 2◦41.2 18◦27.4 5.2 -25◦33.4 2.9 58.622 151◦15.3 2◦40.2 32◦51.6 5.2 -25◦30.4 3.1 58.623 166◦15.6 2◦39.2 47◦15.9 5.3 -25◦27.2 3.3 58.6

SD.=15.9 d=-1.0 S.D.=16.1

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 02:00 03:51 05:03 18:45 19:57 21:4370 02:34 04:04 05:09 18:40 19:43 21:1268 02:58 04:15 05:14 18:35 19:33 20:4966 03:15 04:24 05:17 18:32 19:24 20:3264 03:30 04:32 05:21 18:29 19:17 20:1962 03:41 04:38 05:23 18:26 19:11 20:0760 03:51 04:43 05:26 18:24 19:06 19:5858 03:59 04:48 05:28 18:22 19:01 19:5056 04:06 04:52 05:30 18:20 18:57 19:4354 04:13 04:56 05:32 18:18 18:54 19:3752 04:18 04:59 05:33 18:17 18:51 19:3250 04:23 05:02 05:35 18:15 18:48 19:2745 04:33 05:08 05:38 18:13 18:42 19:1740 04:41 05:13 05:40 18:10 18:37 19:0935 04:47 05:17 05:42 18:08 18:34 19:0330 04:52 05:20 05:44 18:06 18:30 18:5820 04:59 05:25 05:47 18:03 18:26 18:5110 05:04 05:29 05:50 18:01 18:22 18:460 05:08 05:32 05:52 17:59 18:19 18:43-10 05:09 05:34 05:55 17:57 18:18 18:42-20 05:09 05:35 05:57 17:54 18:16 18:42-30 05:08 05:36 05:59 17:52 18:16 18:44-35 05:06 05:36 06:01 17:51 18:16 18:45-40 05:04 05:35 06:02 17:49 18:16 18:48-45 05:01 05:35 06:04 17:48 18:17 18:51-50 04:57 05:34 06:06 17:46 18:18 18:55-52 04:54 05:34 06:07 17:45 18:18 18:58-54 04:52 05:33 06:08 17:44 18:19 19:00-56 04:49 05:32 06:09 17:43 18:20 19:03-58 04:46 05:32 06:11 17:42 18:21 19:07-60 04:42 05:31 06:12 17:40 18:22 19:11

Moonrise MoonsetLat. Mon Tue Wed Mon Tue Wed72 –:– –:– –:– –:– –:– –:–70 –:– –:– –:– –:– –:– –:–68 –:– –:– –:– –:– –:– –:–66 –:– –:– –:– –:– –:– –:–64 16:10 –:– 19:10 19:06 –:– 20:2062 15:29 17:04 18:01 19:48 20:19 21:2860 15:00 16:27 17:26 20:17 20:56 22:0458 14:39 16:01 17:00 20:39 21:23 22:2956 14:21 15:40 16:40 20:57 21:44 22:4954 14:06 15:23 16:23 21:13 22:01 23:0652 13:53 15:08 16:08 21:26 22:16 23:2050 13:42 14:55 15:56 21:38 22:29 23:3345 13:18 14:29 15:30 22:02 22:55 23:5940 12:59 14:08 15:09 22:22 23:16 –:–35 12:43 13:50 14:51 22:38 23:34 –:–30 12:30 13:36 14:36 22:52 23:49 –:–20 12:07 13:10 14:11 23:16 –:– 00:1510 11:47 12:48 13:49 23:37 –:– 00:370 11:28 12:28 13:29 23:57 –:– 00:57-10 11:10 12:08 13:08 –:– 00:16 01:18-20 10:50 11:46 12:46 –:– 00:37 01:40-30 10:28 11:21 12:21 –:– 01:01 02:05-35 10:14 11:07 12:06 00:06 01:16 02:20-40 09:59 10:50 11:49 00:21 01:32 02:38-45 09:41 10:30 11:28 00:38 01:52 02:58-50 09:19 10:04 11:02 00:59 02:17 03:25-52 09:09 09:52 10:49 01:09 02:29 03:37-54 08:57 09:38 10:35 01:21 02:43 03:52-56 08:43 09:22 10:18 01:34 02:59 04:09-58 08:28 09:02 09:57 01:49 03:18 04:29-60 08:09 08:38 09:31 02:07 03:42 04:55

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower13 03:59 04:10 11:55 17:42 05:12 6(46%)14 04:20 04:31 11:55 18:42 06:12 7(57%)15 04:42 04:52 11:55 19:43 07:13 8(68%)

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September 16, 17 ,18 (Thu., Fri., Sat.)Aries Venus Mars Jupiter Saturn

Thu GHA GHA Dec GHA Dec GHA Dec GHA Dec0 355◦09.7 141◦58.1 -14◦35.5 174◦15.1 0◦29.3 28◦26.8 -14◦39.1 45◦08.7 -19◦12.71 10◦12.2 156◦57.9 -14◦36.6 189◦16.1 0◦28.7 43◦29.5 -14◦39.2 60◦11.3 -19◦12.72 25◦14.6 171◦57.6 -14◦37.7 204◦17.1 0◦28.0 58◦32.2 -14◦39.3 75◦13.8 -19◦12.73 40◦17.1 186◦57.4 -14◦38.8 219◦18.1 0◦27.4 73◦34.9 -14◦39.4 90◦16.4 -19◦12.84 55◦19.6 201◦57.1 -14◦39.9 234◦19.1 0◦26.7 88◦37.6 -14◦39.4 105◦19.0 -19◦12.85 70◦22.0 216◦56.8 -14◦41.0 249◦20.1 0◦26.1 103◦40.3 -14◦39.5 120◦21.5 -19◦12.86 85◦24.5 231◦56.6 -14◦42.1 264◦21.1 0◦25.4 118◦43.0 -14◦39.6 135◦24.1 -19◦12.87 100◦27.0 246◦56.3 -14◦43.3 279◦22.1 0◦24.7 133◦45.7 -14◦39.7 150◦26.7 -19◦12.98 115◦29.4 261◦56.0 -14◦44.4 294◦23.0 0◦24.1 148◦48.4 -14◦39.8 165◦29.2 -19◦12.99 130◦31.9 276◦55.8 -14◦45.5 309◦24.0 0◦23.4 163◦51.1 -14◦39.8 180◦31.8 -19◦12.910 145◦34.4 291◦55.5 -14◦46.6 324◦25.0 0◦22.8 178◦53.8 -14◦39.9 195◦34.3 -19◦12.911 160◦36.8 306◦55.2 -14◦47.7 339◦26.0 0◦22.1 193◦56.5 -14◦40.0 210◦36.9 -19◦13.012 175◦39.3 321◦55.0 -14◦48.8 354◦27.0 0◦21.4 208◦59.2 -14◦40.1 225◦39.5 -19◦13.013 190◦41.7 336◦54.7 -14◦49.9 9◦28.0 0◦20.8 224◦01.9 -14◦40.1 240◦42.0 -19◦13.014 205◦44.2 351◦54.4 -14◦51.0 24◦29.0 0◦20.1 239◦04.6 -14◦40.2 255◦44.6 -19◦13.015 220◦46.7 6◦54.2 -14◦52.1 39◦29.9 0◦19.5 254◦07.3 -14◦40.3 270◦47.2 -19◦13.116 235◦49.1 21◦53.9 -14◦53.2 54◦30.9 0◦18.8 269◦10.0 -14◦40.4 285◦49.7 -19◦13.117 250◦51.6 36◦53.6 -14◦54.3 69◦31.9 0◦18.1 284◦12.7 -14◦40.5 300◦52.3 -19◦13.118 265◦54.1 51◦53.4 -14◦55.4 84◦32.9 0◦17.5 299◦15.4 -14◦40.5 315◦54.9 -19◦13.119 280◦56.5 66◦53.1 -14◦56.5 99◦33.9 0◦16.8 314◦18.1 -14◦40.6 330◦57.4 -19◦13.220 295◦59.0 81◦52.8 -14◦57.7 114◦34.9 0◦16.2 329◦20.8 -14◦40.7 345◦60.0 -19◦13.221 311◦01.5 96◦52.6 -14◦58.8 129◦35.9 0◦15.5 344◦23.5 -14◦40.8 1◦02.5 -19◦13.222 326◦03.9 111◦52.3 -14◦59.9 144◦36.9 0◦14.9 359◦26.2 -14◦40.9 16◦05.1 -19◦13.223 341◦06.4 126◦52.0 -15◦01.0 159◦37.8 0◦14.2 14◦28.9 -14◦40.9 31◦07.7 -19◦13.3Mer.pass.:0:19: v-0.3 d-1.1 m-4.0 v1.0 d-0.7 m1.7 v2.7 d-0.1 m-2.6 v2.6 d-0.0 m0.4

Fri GHA GHA Dec GHA Dec GHA Dec GHA Dec0 356◦08.9 141◦51.8 -15◦02.1 174◦38.8 0◦13.5 29◦31.6 -14◦41.0 46◦10.2 -19◦13.31 11◦11.3 156◦51.5 -15◦03.2 189◦39.8 0◦12.9 44◦34.3 -14◦41.1 61◦12.8 -19◦13.32 26◦13.8 171◦51.2 -15◦04.3 204◦40.8 0◦12.2 59◦36.9 -14◦41.2 76◦15.3 -19◦13.33 41◦16.2 186◦50.9 -15◦05.4 219◦41.8 0◦11.6 74◦39.6 -14◦41.2 91◦17.9 -19◦13.44 56◦18.7 201◦50.7 -15◦06.5 234◦42.8 0◦10.9 89◦42.3 -14◦41.3 106◦20.5 -19◦13.45 71◦21.2 216◦50.4 -15◦07.6 249◦43.8 0◦10.2 104◦45.0 -14◦41.4 121◦23.0 -19◦13.46 86◦23.6 231◦50.1 -15◦08.7 264◦44.8 0◦09.6 119◦47.7 -14◦41.5 136◦25.6 -19◦13.47 101◦26.1 246◦49.9 -15◦09.8 279◦45.7 0◦08.9 134◦50.4 -14◦41.5 151◦28.2 -19◦13.58 116◦28.6 261◦49.6 -15◦10.9 294◦46.7 0◦08.3 149◦53.1 -14◦41.6 166◦30.7 -19◦13.59 131◦31.0 276◦49.3 -15◦12.0 309◦47.7 0◦07.6 164◦55.8 -14◦41.7 181◦33.3 -19◦13.510 146◦33.5 291◦49.0 -15◦13.1 324◦48.7 0◦06.9 179◦58.5 -14◦41.8 196◦35.8 -19◦13.511 161◦36.0 306◦48.8 -15◦14.1 339◦49.7 0◦06.3 195◦01.2 -14◦41.9 211◦38.4 -19◦13.612 176◦38.4 321◦48.5 -15◦15.2 354◦50.7 0◦05.6 210◦03.9 -14◦41.9 226◦41.0 -19◦13.613 191◦40.9 336◦48.2 -15◦16.3 9◦51.7 0◦05.0 225◦06.6 -14◦42.0 241◦43.5 -19◦13.614 206◦43.4 351◦48.0 -15◦17.4 24◦52.6 0◦04.3 240◦09.3 -14◦42.1 256◦46.1 -19◦13.615 221◦45.8 6◦47.7 -15◦18.5 39◦53.6 0◦03.7 255◦12.0 -14◦42.2 271◦48.6 -19◦13.716 236◦48.3 21◦47.4 -15◦19.6 54◦54.6 0◦03.0 270◦14.7 -14◦42.2 286◦51.2 -19◦13.717 251◦50.7 36◦47.1 -15◦20.7 69◦55.6 0◦02.3 285◦17.4 -14◦42.3 301◦53.8 -19◦13.718 266◦53.2 51◦46.9 -15◦21.8 84◦56.6 0◦01.7 300◦20.1 -14◦42.4 316◦56.3 -19◦13.719 281◦55.7 66◦46.6 -15◦22.9 99◦57.6 0◦01.0 315◦22.8 -14◦42.5 331◦58.9 -19◦13.820 296◦58.1 81◦46.3 -15◦24.0 114◦58.6 0◦00.4 330◦25.4 -14◦42.5 347◦01.4 -19◦13.821 312◦00.6 96◦46.0 -15◦25.1 129◦59.5 -0◦00.3 345◦28.1 -14◦42.6 2◦04.0 -19◦13.822 327◦03.1 111◦45.8 -15◦26.2 145◦00.5 -0◦01.0 0◦30.8 -14◦42.7 17◦06.5 -19◦13.823 342◦05.5 126◦45.5 -15◦27.3 160◦01.5 -0◦01.6 15◦33.5 -14◦42.8 32◦09.1 -19◦13.9Mer.pass.:0:15: v-0.3 d-1.1 m-4.0 v1.0 d-0.7 m1.7 v2.7 d-0.1 m-2.6 v2.6 d-0.0 m0.4

Sat GHA GHA Dec GHA Dec GHA Dec GHA Dec0 357◦08.0 141◦45.2 -15◦28.3 175◦02.5 -0◦02.3 30◦36.2 -14◦42.8 47◦11.7 -19◦13.91 12◦10.5 156◦44.9 -15◦29.4 190◦03.5 -0◦02.9 45◦38.9 -14◦42.9 62◦14.2 -19◦13.92 27◦12.9 171◦44.7 -15◦30.5 205◦04.5 -0◦03.6 60◦41.6 -14◦43.0 77◦16.8 -19◦13.93 42◦15.4 186◦44.4 -15◦31.6 220◦05.5 -0◦04.3 75◦44.3 -14◦43.1 92◦19.3 -19◦14.04 57◦17.9 201◦44.1 -15◦32.7 235◦06.4 -0◦04.9 90◦47.0 -14◦43.1 107◦21.9 -19◦14.05 72◦20.3 216◦43.8 -15◦33.8 250◦07.4 -0◦05.6 105◦49.7 -14◦43.2 122◦24.5 -19◦14.06 87◦22.8 231◦43.6 -15◦34.9 265◦08.4 -0◦06.2 120◦52.4 -14◦43.3 137◦27.0 -19◦14.07 102◦25.2 246◦43.3 -15◦35.9 280◦09.4 -0◦06.9 135◦55.0 -14◦43.4 152◦29.6 -19◦14.18 117◦27.7 261◦43.0 -15◦37.0 295◦10.4 -0◦07.6 150◦57.7 -14◦43.4 167◦32.1 -19◦14.19 132◦30.2 276◦42.7 -15◦38.1 310◦11.4 -0◦08.2 166◦00.4 -14◦43.5 182◦34.7 -19◦14.110 147◦32.6 291◦42.4 -15◦39.2 325◦12.4 -0◦08.9 181◦03.1 -14◦43.6 197◦37.2 -19◦14.111 162◦35.1 306◦42.2 -15◦40.3 340◦13.3 -0◦09.5 196◦05.8 -14◦43.7 212◦39.8 -19◦14.212 177◦37.6 321◦41.9 -15◦41.4 355◦14.3 -0◦10.2 211◦08.5 -14◦43.7 227◦42.3 -19◦14.213 192◦40.0 336◦41.6 -15◦42.4 10◦15.3 -0◦10.9 226◦11.2 -14◦43.8 242◦44.9 -19◦14.214 207◦42.5 351◦41.3 -15◦43.5 25◦16.3 -0◦11.5 241◦13.9 -14◦43.9 257◦47.5 -19◦14.215 222◦45.0 6◦41.0 -15◦44.6 40◦17.3 -0◦12.2 256◦16.6 -14◦44.0 272◦50.0 -19◦14.216 237◦47.4 21◦40.8 -15◦45.7 55◦18.3 -0◦12.8 271◦19.2 -14◦44.0 287◦52.6 -19◦14.317 252◦49.9 36◦40.5 -15◦46.8 70◦19.3 -0◦13.5 286◦21.9 -14◦44.1 302◦55.1 -19◦14.318 267◦52.3 51◦40.2 -15◦47.8 85◦20.2 -0◦14.1 301◦24.6 -14◦44.2 317◦57.7 -19◦14.319 282◦54.8 66◦39.9 -15◦48.9 100◦21.2 -0◦14.8 316◦27.3 -14◦44.3 333◦00.2 -19◦14.320 297◦57.3 81◦39.6 -15◦50.0 115◦22.2 -0◦15.5 331◦30.0 -14◦44.3 348◦02.8 -19◦14.421 312◦59.7 96◦39.4 -15◦51.1 130◦23.2 -0◦16.1 346◦32.7 -14◦44.4 3◦05.3 -19◦14.422 328◦02.2 111◦39.1 -15◦52.1 145◦24.2 -0◦16.8 1◦35.4 -14◦44.5 18◦07.9 -19◦14.423 343◦04.7 126◦38.8 -15◦53.2 160◦25.2 -0◦17.4 16◦38.0 -14◦44.5 33◦10.5 -19◦14.4Mer.pass.:0:11: v-0.3 d-1.1 m-4.0 v1.0 d-0.7 m1.7 v2.7 d-0.1 m-2.6 v2.6 d-0.0 m0.4

StarsSHA Dec

Alpheratz 357◦37.2 29◦12.6Ankaa 353◦09.4 -42◦11.2

Schedar 349◦33.5 56◦39.3Diphda 348◦49.6 -17◦52.0

Achernar 335◦21.8 -57◦07.5Hamal 327◦54.0 23◦33.9Polaris 314◦59.9 89◦21.0Akamar 315◦13.6 -40◦12.9Menkar 314◦08.8 4◦10.5Mirfak 308◦31.8 49◦56.1

Aldebaran 290◦42.6 16◦33.2Rigel 281◦06.4 -8◦10.5

Capella 280◦25.9 46◦01.1Bellatrix 278◦25.8 6◦22.2Elnath 278◦05.3 28◦37.5Alnilam 275◦40.5 -1◦11.2

Betelgeuse 270◦55.0 7◦24.7Canopus 263◦53.7 -52◦42.1

Sirius 258◦28.6 -16◦44.4Adara 255◦08.1 -28◦59.8

Procyon 244◦53.7 5◦10.4Pollux 243◦20.7 27◦58.4Avior 234◦16.2 -59◦34.4Suhail 222◦48.6 -43◦30.9

Miaplacidus 221◦39.5 -69◦48.1Alphard 217◦50.7 -8◦44.9Regulus 207◦37.6 11◦51.8Dubhe 193◦45.0 61◦38.1

Denebola 182◦28.0 14◦27.3Gienah 175◦46.7 -17◦39.5Acrux 173◦03.7 -63◦13.1

Gacrux 171◦55.2 -57◦14.0Alioth 166◦16.0 55◦50.8Spica 158◦25.4 -11◦16.3Alcaid 152◦54.6 49◦12.6Hadar 148◦40.3 -60◦28.6

Menkent 148◦01.1 -36◦28.5Arcturus 145◦50.5 19◦04.7

Rigil Kent. 139◦44.4 -60◦55.5Zubenelg. 136◦59.2 -16◦07.8Kochab 137◦20.6 74◦04.3

Alphecca 126◦06.3 26◦38.8Antares 112◦19.3 -26◦28.7

Atria 107◦16.0 -69◦04.1Sabik 102◦05.9 -15◦45.0

Shaula 96◦14.1 -37◦07.2Rasalhague 96◦01.1 12◦32.9

Etamin 90◦43.4 51◦29.5Kaus Aust. 83◦36.0 -34◦22.5

Vega 80◦35.0 38◦48.5Nunki 75◦51.0 -26◦16.2Altair 62◦02.5 8◦55.6

Peacock 53◦09.6 -56◦40.0Deneb 49◦27.3 45◦21.7

Enif 33◦41.2 9◦58.6Alnair 27◦35.9 -46◦51.4

Fomalhaut 15◦17.2 -29◦30.4Scheat 13◦47.5 28◦12.1Markab 13◦32.3 15◦19.4

2021/9/1 SHA Mer.passVenus 146◦48.4 14:32Mars 179◦05.4 12:22

Jupiter 33◦17.0 22:02Saturn 49◦59.0 20:56

2021/9/1 SHA Mer.passVenus 145◦42.9 14:33Mars 178◦30.0 12:21

Jupiter 33◦22.7 21:58Saturn 50◦01.4 20:52

2021/9/1 SHA Mer.passVenus 144◦37.2 14:33Mars 177◦54.5 12:19

Jupiter 33◦28.2 21:54Saturn 50◦03.7 20:48

Horizontal paralaxVenus: 0.1Mars: 0.1

174

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2021 September 16 to Sep. 18

h Sun MoonThu GHA Dec GHA ν Dec d HP0 181◦15.8 2◦38.3 61◦40.2 5.3 -25◦23.9 3.4 58.51 196◦16.0 2◦37.3 76◦04.5 5.4 -25◦20.4 3.6 58.52 211◦16.2 2◦36.4 90◦29.0 5.5 -25◦16.7 3.7 58.53 226◦16.5 2◦35.4 104◦53.4 5.5 -25◦12.9 3.9 58.54 241◦16.7 2◦34.4 119◦18.0 5.6 -25◦08.9 4.1 58.55 256◦16.9 2◦33.5 133◦42.6 5.6 -25◦04.8 4.2 58.56 271◦17.1 2◦32.5 148◦07.2 5.7 -25◦00.5 4.4 58.57 286◦17.4 2◦31.5 162◦32.0 5.8 -24◦56.1 4.5 58.48 301◦17.6 2◦30.6 176◦56.7 5.8 -24◦51.4 4.7 58.49 316◦17.8 2◦29.6 191◦21.6 5.9 -24◦46.7 4.8 58.410 331◦18.0 2◦28.6 205◦46.5 6.0 -24◦41.8 5.0 58.411 346◦18.3 2◦27.7 220◦11.5 6.0 -24◦36.7 5.1 58.412 1◦18.5 2◦26.7 234◦36.6 6.1 -24◦31.5 5.3 58.413 16◦18.7 2◦25.7 249◦01.7 6.2 -24◦26.1 5.5 58.314 31◦18.9 2◦24.8 263◦26.9 6.2 -24◦20.6 5.6 58.315 46◦19.1 2◦23.8 277◦52.1 6.3 -24◦14.9 5.7 58.316 61◦19.4 2◦22.8 292◦17.5 6.4 -24◦09.1 5.9 58.317 76◦19.6 2◦21.9 306◦42.9 6.5 -24◦03.1 6.0 58.318 91◦19.8 2◦20.9 321◦08.4 6.5 -23◦57.0 6.2 58.319 106◦20.0 2◦20.0 335◦34.0 6.6 -23◦50.7 6.3 58.220 121◦20.3 2◦19.0 349◦59.6 6.7 -23◦44.3 6.5 58.221 136◦20.5 2◦18.0 4◦25.4 6.8 -23◦37.8 6.6 58.222 151◦20.7 2◦17.1 18◦51.2 6.9 -23◦31.1 6.8 58.223 166◦20.9 2◦16.1 33◦17.1 6.9 -23◦24.3 6.9 58.2

SD.=15.9 d=-1.0 S.D.=16.0

Fri GHA Dec GHA ν Dec d HP0 181◦21.2 2◦15.1 47◦43.0 7.0 -23◦17.3 7.0 58.21 196◦21.4 2◦14.2 62◦09.1 7.1 -23◦10.2 7.2 58.12 211◦21.6 2◦13.2 76◦35.2 7.2 -23◦03.0 7.3 58.13 226◦21.8 2◦12.2 91◦01.5 7.3 -22◦55.6 7.4 58.14 241◦22.1 2◦11.3 105◦27.8 7.4 -22◦48.1 7.6 58.15 256◦22.3 2◦10.3 119◦54.2 7.4 -22◦40.5 7.7 58.16 271◦22.5 2◦09.3 134◦20.6 7.5 -22◦32.7 7.8 58.17 286◦22.7 2◦08.4 148◦47.2 7.6 -22◦24.8 8.0 58.08 301◦23.0 2◦07.4 163◦13.9 7.7 -22◦16.8 8.1 58.09 316◦23.2 2◦06.4 177◦40.6 7.8 -22◦08.6 8.2 58.010 331◦23.4 2◦05.5 192◦07.5 7.9 -22◦00.4 8.3 58.011 346◦23.6 2◦04.5 206◦34.4 8.0 -21◦52.0 8.5 58.012 1◦23.9 2◦03.5 221◦01.4 8.1 -21◦43.4 8.6 57.913 16◦24.1 2◦02.6 235◦28.5 8.1 -21◦34.8 8.7 57.914 31◦24.3 2◦01.6 249◦55.7 8.2 -21◦26.0 8.8 57.915 46◦24.5 2◦00.6 264◦23.0 8.3 -21◦17.2 8.9 57.916 61◦24.7 1◦59.7 278◦50.3 8.4 -21◦08.2 9.1 57.917 76◦25.0 1◦58.7 293◦17.8 8.5 -20◦59.1 9.2 57.918 91◦25.2 1◦57.7 307◦45.4 8.6 -20◦49.8 9.3 57.819 106◦25.4 1◦56.8 322◦13.0 8.7 -20◦40.5 9.4 57.820 121◦25.6 1◦55.8 336◦40.7 8.8 -20◦31.0 9.5 57.821 136◦25.9 1◦54.8 351◦08.6 8.9 -20◦21.5 9.6 57.822 151◦26.1 1◦53.9 5◦36.5 9.0 -20◦11.8 9.7 57.823 166◦26.3 1◦52.9 20◦04.5 9.1 -20◦02.1 9.8 57.7

SD.=15.9 d=-1.0 S.D.=15.9

Sat GHA Dec GHA ν Dec d HP0 181◦26.5 1◦51.9 34◦32.6 9.2 -19◦52.2 9.9 57.71 196◦26.8 1◦51.0 49◦00.8 9.2 -19◦42.2 10.0 57.72 211◦27.0 1◦50.0 63◦29.1 9.3 -19◦32.1 10.1 57.73 226◦27.2 1◦49.0 77◦57.5 9.4 -19◦21.9 10.2 57.74 241◦27.4 1◦48.1 92◦26.0 9.5 -19◦11.6 10.3 57.75 256◦27.7 1◦47.1 106◦54.5 9.6 -19◦01.2 10.4 57.66 271◦27.9 1◦46.1 121◦23.2 9.7 -18◦50.8 10.5 57.67 286◦28.1 1◦45.2 135◦51.9 9.8 -18◦40.2 10.6 57.68 301◦28.3 1◦44.2 150◦20.8 9.9 -18◦29.5 10.7 57.69 316◦28.6 1◦43.2 164◦49.7 10.0 -18◦18.8 10.8 57.610 331◦28.8 1◦42.2 179◦18.7 10.1 -18◦07.9 10.9 57.511 346◦29.0 1◦41.3 193◦47.8 10.2 -17◦57.0 11.0 57.512 1◦29.2 1◦40.3 208◦17.0 10.2 -17◦45.9 11.1 57.513 16◦29.4 1◦39.3 222◦46.3 10.3 -17◦34.8 11.2 57.514 31◦29.7 1◦38.4 237◦15.7 10.4 -17◦23.6 11.2 57.515 46◦29.9 1◦37.4 251◦45.1 10.5 -17◦12.3 11.3 57.416 61◦30.1 1◦36.4 266◦14.7 10.6 -17◦00.9 11.4 57.417 76◦30.3 1◦35.5 280◦44.3 10.7 -16◦49.5 11.5 57.418 91◦30.6 1◦34.5 295◦14.0 10.8 -16◦38.0 11.6 57.419 106◦30.8 1◦33.5 309◦43.9 10.9 -16◦26.3 11.6 57.420 121◦31.0 1◦32.6 324◦13.8 10.9 -16◦14.7 11.7 57.321 136◦31.2 1◦31.6 338◦43.7 11.0 -16◦02.9 11.8 57.322 151◦31.5 1◦30.6 353◦13.8 11.1 -15◦51.1 11.9 57.323 166◦31.7 1◦29.7 7◦44.0 11.2 -15◦39.2 11.9 57.3

SD.=15.9 d=-1.0 S.D.=15.7

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 02:25 04:06 05:17 18:29 19:39 21:1870 02:52 04:18 05:21 18:26 19:28 20:5268 03:12 04:27 05:24 18:23 19:19 20:3366 03:28 04:34 05:27 18:20 19:12 20:1864 03:40 04:41 05:29 18:18 19:06 20:0662 03:51 04:46 05:31 18:16 19:01 19:5660 03:59 04:51 05:33 18:15 18:56 19:4858 04:07 04:55 05:34 18:13 18:53 19:4056 04:13 04:58 05:36 18:12 18:49 19:3454 04:19 05:01 05:37 18:11 18:46 19:2952 04:24 05:04 05:38 18:10 18:44 19:2450 04:28 05:07 05:39 18:09 18:41 19:2045 04:37 05:12 05:41 18:07 18:36 19:1140 04:44 05:16 05:43 18:05 18:32 19:0435 04:49 05:19 05:44 18:04 18:29 18:5930 04:54 05:22 05:46 18:03 18:27 18:5520 05:00 05:26 05:48 18:01 18:23 18:4810 05:04 05:29 05:50 17:59 18:20 18:440 05:06 05:30 05:51 17:58 18:18 18:42-10 05:07 05:32 05:53 17:56 18:17 18:42-20 05:07 05:32 05:54 17:55 18:17 18:43-30 05:04 05:32 05:56 17:54 18:18 18:45-35 05:02 05:31 05:56 17:53 18:18 18:48-40 04:59 05:30 05:57 17:52 18:19 18:51-45 04:55 05:29 05:58 17:51 18:20 18:55-50 04:50 05:27 05:60 17:50 18:22 19:00-52 04:47 05:27 06:00 17:50 18:23 19:03-54 04:44 05:26 06:01 17:49 18:24 19:06-56 04:41 05:24 06:01 17:49 18:26 19:09-58 04:37 05:23 06:02 17:48 18:27 19:13-60 04:33 05:21 06:03 17:47 18:29 19:18

Moonrise MoonsetLat. Thu Fri Sat Thu Fri Sat72 –:– –:– 20:39 –:– –:– –:–70 –:– –:– 19:58 –:– –:– –:–68 –:– 20:08 19:30 –:– 23:20 –:–66 20:13 19:25 19:09 21:20 –:– 00:0364 19:01 18:56 18:52 22:31 –:– 00:3162 18:25 18:34 18:37 23:07 –:– 00:5260 17:58 18:16 18:25 23:33 –:– 01:1058 17:38 18:00 18:15 23:53 –:– 01:2456 17:21 17:47 18:05 –:– 00:10 01:3754 17:06 17:36 17:57 –:– 00:24 01:4752 16:54 17:26 17:50 –:– 00:36 01:5750 16:42 17:17 17:43 –:– 00:47 02:0545 16:19 16:58 17:29 –:– 01:10 02:2340 16:00 16:42 17:17 00:19 01:28 02:3835 15:44 16:29 17:07 00:36 01:43 02:5030 15:31 16:17 16:58 00:51 01:56 03:0120 15:07 15:58 16:42 01:16 02:18 03:1910 14:47 15:40 16:29 01:37 02:37 03:350 14:28 15:24 16:16 01:57 02:55 03:49-10 14:09 15:08 16:03 02:17 03:13 04:04-20 13:48 14:50 15:50 02:38 03:32 04:19-30 13:25 14:30 15:34 03:03 03:53 04:37-35 13:11 14:18 15:25 03:17 04:06 04:47-40 12:55 14:04 15:14 03:34 04:21 04:59-45 12:36 13:48 15:02 03:54 04:38 05:12-50 12:12 13:28 14:47 04:18 04:59 05:29-52 11:60 13:19 14:39 04:30 05:09 05:37-54 11:47 13:08 14:32 04:44 05:20 05:45-56 11:31 12:56 14:23 04:59 05:33 05:55-58 11:13 12:41 14:13 05:18 05:47 06:06-60 10:51 12:24 14:01 05:41 06:05 06:18

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower16 05:03 05:14 11:54 20:41 08:12 9(78%)17 05:25 05:35 11:54 21:36 09:09 10(86%)18 05:46 05:57 11:54 22:28 10:02 11(93%)

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September 19, 20 ,21 (Sun., Mon., Tue.)Aries Venus Mars Jupiter Saturn

Sun GHA GHA Dec GHA Dec GHA Dec GHA Dec0 358◦07.1 141◦38.5 -15◦54.3 175◦26.1 -0◦18.1 31◦40.7 -14◦44.6 48◦13.0 -19◦14.51 13◦09.6 156◦38.2 -15◦55.4 190◦27.1 -0◦18.8 46◦43.4 -14◦44.7 63◦15.6 -19◦14.52 28◦12.1 171◦38.0 -15◦56.4 205◦28.1 -0◦19.4 61◦46.1 -14◦44.8 78◦18.1 -19◦14.53 43◦14.5 186◦37.7 -15◦57.5 220◦29.1 -0◦20.1 76◦48.8 -14◦44.8 93◦20.7 -19◦14.54 58◦17.0 201◦37.4 -15◦58.6 235◦30.1 -0◦20.7 91◦51.5 -14◦44.9 108◦23.2 -19◦14.55 73◦19.5 216◦37.1 -15◦59.6 250◦31.1 -0◦21.4 106◦54.2 -14◦45.0 123◦25.8 -19◦14.66 88◦21.9 231◦36.8 -16◦00.7 265◦32.1 -0◦22.1 121◦56.8 -14◦45.1 138◦28.3 -19◦14.67 103◦24.4 246◦36.5 -16◦01.8 280◦33.0 -0◦22.7 136◦59.5 -14◦45.1 153◦30.9 -19◦14.68 118◦26.8 261◦36.3 -16◦02.9 295◦34.0 -0◦23.4 152◦02.2 -14◦45.2 168◦33.4 -19◦14.69 133◦29.3 276◦36.0 -16◦03.9 310◦35.0 -0◦24.0 167◦04.9 -14◦45.3 183◦36.0 -19◦14.710 148◦31.8 291◦35.7 -16◦05.0 325◦36.0 -0◦24.7 182◦07.6 -14◦45.3 198◦38.6 -19◦14.711 163◦34.2 306◦35.4 -16◦06.1 340◦37.0 -0◦25.4 197◦10.3 -14◦45.4 213◦41.1 -19◦14.712 178◦36.7 321◦35.1 -16◦07.1 355◦38.0 -0◦26.0 212◦12.9 -14◦45.5 228◦43.7 -19◦14.713 193◦39.2 336◦34.8 -16◦08.2 10◦38.9 -0◦26.7 227◦15.6 -14◦45.6 243◦46.2 -19◦14.814 208◦41.6 351◦34.5 -16◦09.3 25◦39.9 -0◦27.3 242◦18.3 -14◦45.6 258◦48.8 -19◦14.815 223◦44.1 6◦34.3 -16◦10.3 40◦40.9 -0◦28.0 257◦21.0 -14◦45.7 273◦51.3 -19◦14.816 238◦46.6 21◦34.0 -16◦11.4 55◦41.9 -0◦28.7 272◦23.7 -14◦45.8 288◦53.9 -19◦14.817 253◦49.0 36◦33.7 -16◦12.5 70◦42.9 -0◦29.3 287◦26.3 -14◦45.8 303◦56.4 -19◦14.818 268◦51.5 51◦33.4 -16◦13.5 85◦43.9 -0◦30.0 302◦29.0 -14◦45.9 318◦59.0 -19◦14.919 283◦53.9 66◦33.1 -16◦14.6 100◦44.8 -0◦30.6 317◦31.7 -14◦46.0 334◦01.5 -19◦14.920 298◦56.4 81◦32.8 -16◦15.7 115◦45.8 -0◦31.3 332◦34.4 -14◦46.1 349◦04.1 -19◦14.921 313◦58.9 96◦32.5 -16◦16.7 130◦46.8 -0◦32.0 347◦37.1 -14◦46.1 4◦06.6 -19◦14.922 329◦01.3 111◦32.2 -16◦17.8 145◦47.8 -0◦32.6 2◦39.7 -14◦46.2 19◦09.2 -19◦15.023 344◦03.8 126◦32.0 -16◦18.8 160◦48.8 -0◦33.3 17◦42.4 -14◦46.3 34◦11.7 -19◦15.0Mer.pass.:0:07: v-0.3 d-1.1 m-4.0 v1.0 d-0.7 m1.7 v2.7 d-0.1 m-2.6 v2.6 d-0.0 m0.4

Mon GHA GHA Dec GHA Dec GHA Dec GHA Dec0 359◦06.3 141◦31.7 -16◦19.9 175◦49.8 -0◦33.9 32◦45.1 -14◦46.3 49◦14.3 -19◦15.01 14◦08.7 156◦31.4 -16◦21.0 190◦50.7 -0◦34.6 47◦47.8 -14◦46.4 64◦16.8 -19◦15.02 29◦11.2 171◦31.1 -16◦22.0 205◦51.7 -0◦35.3 62◦50.5 -14◦46.5 79◦19.4 -19◦15.03 44◦13.7 186◦30.8 -16◦23.1 220◦52.7 -0◦35.9 77◦53.1 -14◦46.5 94◦21.9 -19◦15.14 59◦16.1 201◦30.5 -16◦24.1 235◦53.7 -0◦36.6 92◦55.8 -14◦46.6 109◦24.5 -19◦15.15 74◦18.6 216◦30.2 -16◦25.2 250◦54.7 -0◦37.2 107◦58.5 -14◦46.7 124◦27.0 -19◦15.16 89◦21.1 231◦29.9 -16◦26.2 265◦55.7 -0◦37.9 123◦01.2 -14◦46.8 139◦29.6 -19◦15.17 104◦23.5 246◦29.6 -16◦27.3 280◦56.6 -0◦38.6 138◦03.9 -14◦46.8 154◦32.1 -19◦15.28 119◦26.0 261◦29.3 -16◦28.4 295◦57.6 -0◦39.2 153◦06.5 -14◦46.9 169◦34.7 -19◦15.29 134◦28.4 276◦29.1 -16◦29.4 310◦58.6 -0◦39.9 168◦09.2 -14◦47.0 184◦37.2 -19◦15.210 149◦30.9 291◦28.8 -16◦30.5 325◦59.6 -0◦40.5 183◦11.9 -14◦47.0 199◦39.8 -19◦15.211 164◦33.4 306◦28.5 -16◦31.5 341◦00.6 -0◦41.2 198◦14.6 -14◦47.1 214◦42.3 -19◦15.212 179◦35.8 321◦28.2 -16◦32.6 356◦01.6 -0◦41.8 213◦17.2 -14◦47.2 229◦44.9 -19◦15.313 194◦38.3 336◦27.9 -16◦33.6 11◦02.5 -0◦42.5 228◦19.9 -14◦47.2 244◦47.4 -19◦15.314 209◦40.8 351◦27.6 -16◦34.7 26◦03.5 -0◦43.2 243◦22.6 -14◦47.3 259◦50.0 -19◦15.315 224◦43.2 6◦27.3 -16◦35.7 41◦04.5 -0◦43.8 258◦25.3 -14◦47.4 274◦52.5 -19◦15.316 239◦45.7 21◦27.0 -16◦36.8 56◦05.5 -0◦44.5 273◦27.9 -14◦47.5 289◦55.1 -19◦15.417 254◦48.2 36◦26.7 -16◦37.8 71◦06.5 -0◦45.1 288◦30.6 -14◦47.5 304◦57.6 -19◦15.418 269◦50.6 51◦26.4 -16◦38.9 86◦07.5 -0◦45.8 303◦33.3 -14◦47.6 320◦00.2 -19◦15.419 284◦53.1 66◦26.1 -16◦39.9 101◦08.4 -0◦46.5 318◦36.0 -14◦47.7 335◦02.7 -19◦15.420 299◦55.5 81◦25.8 -16◦41.0 116◦09.4 -0◦47.1 333◦38.6 -14◦47.7 350◦05.3 -19◦15.421 314◦58.0 96◦25.5 -16◦42.0 131◦10.4 -0◦47.8 348◦41.3 -14◦47.8 5◦07.8 -19◦15.522 330◦00.5 111◦25.2 -16◦43.1 146◦11.4 -0◦48.4 3◦44.0 -14◦47.9 20◦10.4 -19◦15.523 345◦02.9 126◦25.0 -16◦44.1 161◦12.4 -0◦49.1 18◦46.7 -14◦47.9 35◦12.9 -19◦15.5Mer.pass.:23:59 v-0.3 d-1.1 m-4.0 v1.0 d-0.7 m1.7 v2.7 d-0.1 m-2.6 v2.6 d-0.0 m0.4

Tue GHA GHA Dec GHA Dec GHA Dec GHA Dec0 0◦05.4 141◦24.7 -16◦45.2 176◦13.3 -0◦49.8 33◦49.3 -14◦48.0 50◦15.4 -19◦15.51 15◦07.9 156◦24.4 -16◦46.2 191◦14.3 -0◦50.4 48◦52.0 -14◦48.1 65◦18.0 -19◦15.52 30◦10.3 171◦24.1 -16◦47.2 206◦15.3 -0◦51.1 63◦54.7 -14◦48.1 80◦20.5 -19◦15.63 45◦12.8 186◦23.8 -16◦48.3 221◦16.3 -0◦51.7 78◦57.3 -14◦48.2 95◦23.1 -19◦15.64 60◦15.3 201◦23.5 -16◦49.3 236◦17.3 -0◦52.4 94◦00.0 -14◦48.3 110◦25.6 -19◦15.65 75◦17.7 216◦23.2 -16◦50.4 251◦18.3 -0◦53.1 109◦02.7 -14◦48.3 125◦28.2 -19◦15.66 90◦20.2 231◦22.9 -16◦51.4 266◦19.2 -0◦53.7 124◦05.4 -14◦48.4 140◦30.7 -19◦15.67 105◦22.7 246◦22.6 -16◦52.5 281◦20.2 -0◦54.4 139◦08.0 -14◦48.5 155◦33.3 -19◦15.78 120◦25.1 261◦22.3 -16◦53.5 296◦21.2 -0◦55.0 154◦10.7 -14◦48.5 170◦35.8 -19◦15.79 135◦27.6 276◦22.0 -16◦54.5 311◦22.2 -0◦55.7 169◦13.4 -14◦48.6 185◦38.4 -19◦15.710 150◦30.0 291◦21.7 -16◦55.6 326◦23.2 -0◦56.4 184◦16.0 -14◦48.7 200◦40.9 -19◦15.711 165◦32.5 306◦21.4 -16◦56.6 341◦24.1 -0◦57.0 199◦18.7 -14◦48.7 215◦43.5 -19◦15.812 180◦35.0 321◦21.1 -16◦57.6 356◦25.1 -0◦57.7 214◦21.4 -14◦48.8 230◦46.0 -19◦15.813 195◦37.4 336◦20.8 -16◦58.7 11◦26.1 -0◦58.3 229◦24.1 -14◦48.9 245◦48.5 -19◦15.814 210◦39.9 351◦20.5 -16◦59.7 26◦27.1 -0◦59.0 244◦26.7 -14◦48.9 260◦51.1 -19◦15.815 225◦42.4 6◦20.2 -17◦00.8 41◦28.1 -0◦59.7 259◦29.4 -14◦49.0 275◦53.6 -19◦15.816 240◦44.8 21◦19.9 -17◦01.8 56◦29.1 -1◦00.3 274◦32.1 -14◦49.1 290◦56.2 -19◦15.917 255◦47.3 36◦19.6 -17◦02.8 71◦30.0 -1◦01.0 289◦34.7 -14◦49.1 305◦58.7 -19◦15.918 270◦49.8 51◦19.3 -17◦03.9 86◦31.0 -1◦01.6 304◦37.4 -14◦49.2 321◦01.3 -19◦15.919 285◦52.2 66◦19.0 -17◦04.9 101◦32.0 -1◦02.3 319◦40.1 -14◦49.3 336◦03.8 -19◦15.920 300◦54.7 81◦18.7 -17◦05.9 116◦33.0 -1◦03.0 334◦42.7 -14◦49.3 351◦06.4 -19◦15.921 315◦57.2 96◦18.4 -17◦07.0 131◦34.0 -1◦03.6 349◦45.4 -14◦49.4 6◦08.9 -19◦16.022 330◦59.6 111◦18.1 -17◦08.0 146◦34.9 -1◦04.3 4◦48.1 -14◦49.5 21◦11.4 -19◦16.023 346◦02.1 126◦17.8 -17◦09.0 161◦35.9 -1◦04.9 19◦50.7 -14◦49.5 36◦14.0 -19◦16.0Mer.pass.:23:55 v-0.3 d-1.0 m-4.0 v1.0 d-0.7 m1.7 v2.7 d-0.1 m-2.6 v2.5 d-0.0 m0.4

StarsSHA Dec

Alpheratz 357◦37.2 29◦12.7Ankaa 353◦09.4 -42◦11.2

Schedar 349◦33.5 56◦39.3Diphda 348◦49.6 -17◦52.0

Achernar 335◦21.8 -57◦07.5Hamal 327◦54.0 23◦33.9Polaris 314◦58.8 89◦21.1Akamar 315◦13.6 -40◦12.9Menkar 314◦08.8 4◦10.5Mirfak 308◦31.8 49◦56.1

Aldebaran 290◦42.6 16◦33.2Rigel 281◦06.4 -8◦10.5

Capella 280◦25.8 46◦01.1Bellatrix 278◦25.7 6◦22.2Elnath 278◦05.3 28◦37.5Alnilam 275◦40.5 -1◦11.2

Betelgeuse 270◦55.0 7◦24.7Canopus 263◦53.7 -52◦42.1

Sirius 258◦28.6 -16◦44.3Adara 255◦08.1 -28◦59.8

Procyon 244◦53.7 5◦10.4Pollux 243◦20.7 27◦58.4Avior 234◦16.2 -59◦34.4Suhail 222◦48.6 -43◦30.9

Miaplacidus 221◦39.5 -69◦48.0Alphard 217◦50.7 -8◦44.9Regulus 207◦37.6 11◦51.8Dubhe 193◦45.0 61◦38.1

Denebola 182◦28.0 14◦27.3Gienah 175◦46.7 -17◦39.5Acrux 173◦03.8 -63◦13.0

Gacrux 171◦55.2 -57◦14.0Alioth 166◦16.0 55◦50.8Spica 158◦25.4 -11◦16.3Alcaid 152◦54.6 49◦12.6Hadar 148◦40.3 -60◦28.6

Menkent 148◦01.1 -36◦28.5Arcturus 145◦50.5 19◦04.7

Rigil Kent. 139◦44.5 -60◦55.5Zubenelg. 136◦59.2 -16◦07.8Kochab 137◦20.6 74◦04.3

Alphecca 126◦06.3 26◦38.8Antares 112◦19.3 -26◦28.7

Atria 107◦16.0 -69◦04.1Sabik 102◦05.9 -15◦45.0

Shaula 96◦14.1 -37◦07.2Rasalhague 96◦01.1 12◦32.9

Etamin 90◦43.4 51◦29.5Kaus Aust. 83◦36.0 -34◦22.5

Vega 80◦35.0 38◦48.5Nunki 75◦51.0 -26◦16.2Altair 62◦02.5 8◦55.6

Peacock 53◦09.6 -56◦40.1Deneb 49◦27.3 45◦21.7

Enif 33◦41.2 9◦58.6Alnair 27◦35.9 -46◦51.4

Fomalhaut 15◦17.2 -29◦30.4Scheat 13◦47.5 28◦12.1Markab 13◦32.3 15◦19.4

2021/9/1 SHA Mer.passVenus 143◦31.4 14:34Mars 177◦19.0 12:17

Jupiter 33◦33.6 21:49Saturn 50◦05.9 20:44

2021/9/2 SHA Mer.passVenus 142◦25.4 14:34Mars 176◦43.5 12:16

Jupiter 33◦38.8 21:45Saturn 50◦08.0 20:40

2021/9/2 SHA Mer.passVenus 141◦19.3 14:35Mars 176◦07.9 12:14

Jupiter 33◦43.9 21:41Saturn 50◦10.0 20:35

Horizontal paralaxVenus: 0.2Mars: 0.1

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2021 September 19 to Sep. 21

h Sun MoonSun GHA Dec GHA ν Dec d HP0 181◦31.9 1◦28.7 22◦14.2 11.3 -15◦27.2 12.0 57.31 196◦32.1 1◦27.7 36◦44.5 11.4 -15◦15.1 12.1 57.22 211◦32.4 1◦26.8 51◦14.9 11.4 -15◦03.0 12.2 57.23 226◦32.6 1◦25.8 65◦45.4 11.5 -14◦50.8 12.2 57.24 241◦32.8 1◦24.8 80◦16.0 11.6 -14◦38.6 12.3 57.25 256◦33.0 1◦23.8 94◦46.6 11.7 -14◦26.3 12.3 57.26 271◦33.3 1◦22.9 109◦17.4 11.8 -14◦13.9 12.4 57.17 286◦33.5 1◦21.9 123◦48.2 11.9 -14◦01.4 12.5 57.18 301◦33.7 1◦20.9 138◦19.1 11.9 -13◦48.9 12.5 57.19 316◦33.9 1◦20.0 152◦50.0 12.0 -13◦36.4 12.6 57.110 331◦34.1 1◦19.0 167◦21.1 12.1 -13◦23.8 12.6 57.011 346◦34.4 1◦18.0 181◦52.2 12.2 -13◦11.1 12.7 57.012 1◦34.6 1◦17.1 196◦23.4 12.2 -12◦58.4 12.8 57.013 16◦34.8 1◦16.1 210◦54.7 12.3 -12◦45.6 12.8 57.014 31◦35.0 1◦15.1 225◦26.0 12.4 -12◦32.7 12.9 57.015 46◦35.3 1◦14.2 239◦57.5 12.5 -12◦19.9 12.9 56.916 61◦35.5 1◦13.2 254◦29.0 12.5 -12◦06.9 13.0 56.917 76◦35.7 1◦12.2 269◦00.5 12.6 -11◦53.9 13.0 56.918 91◦35.9 1◦11.2 283◦32.2 12.7 -11◦40.9 13.1 56.919 106◦36.2 1◦10.3 298◦03.9 12.7 -11◦27.8 13.1 56.920 121◦36.4 1◦09.3 312◦35.6 12.8 -11◦14.7 13.1 56.821 136◦36.6 1◦08.3 327◦07.5 12.9 -11◦01.6 13.2 56.822 151◦36.8 1◦07.4 341◦39.4 12.9 -10◦48.4 13.2 56.823 166◦37.1 1◦06.4 356◦11.4 13.0 -10◦35.1 13.3 56.8

SD.=15.9 d=-1.0 S.D.=15.6

Mon GHA Dec GHA ν Dec d HP0 181◦37.3 1◦05.4 10◦43.4 13.1 -10◦21.8 13.3 56.71 196◦37.5 1◦04.5 25◦15.6 13.1 -10◦08.5 13.3 56.72 211◦37.7 1◦03.5 39◦47.7 13.2 -9◦55.1 13.4 56.73 226◦37.9 1◦02.5 54◦20.0 13.3 -9◦41.8 13.4 56.74 241◦38.2 1◦01.5 68◦52.3 13.3 -9◦28.3 13.4 56.75 256◦38.4 1◦00.6 83◦24.6 13.4 -9◦14.9 13.5 56.66 271◦38.6 0◦59.6 97◦57.1 13.5 -9◦01.4 13.5 56.67 286◦38.8 0◦58.6 112◦29.6 13.5 -8◦47.8 13.5 56.68 301◦39.1 0◦57.7 127◦02.1 13.6 -8◦34.3 13.6 56.69 316◦39.3 0◦56.7 141◦34.7 13.6 -8◦20.7 13.6 56.610 331◦39.5 0◦55.7 156◦07.4 13.7 -8◦07.1 13.6 56.511 346◦39.7 0◦54.7 170◦40.1 13.7 -7◦53.5 13.7 56.512 1◦40.0 0◦53.8 185◦12.9 13.8 -7◦39.8 13.7 56.513 16◦40.2 0◦52.8 199◦45.7 13.9 -7◦26.1 13.7 56.514 31◦40.4 0◦51.8 214◦18.6 13.9 -7◦12.4 13.7 56.415 46◦40.6 0◦50.9 228◦51.5 14.0 -6◦58.7 13.7 56.416 61◦40.8 0◦49.9 243◦24.5 14.0 -6◦44.9 13.8 56.417 76◦41.1 0◦48.9 257◦57.5 14.1 -6◦31.1 13.8 56.418 91◦41.3 0◦48.0 272◦30.6 14.1 -6◦17.4 13.8 56.419 106◦41.5 0◦47.0 287◦03.8 14.2 -6◦03.5 13.8 56.320 121◦41.7 0◦46.0 301◦36.9 14.2 -5◦49.7 13.8 56.321 136◦42.0 0◦45.0 316◦10.2 14.3 -5◦35.9 13.8 56.322 151◦42.2 0◦44.1 330◦43.4 14.3 -5◦22.0 13.9 56.323 166◦42.4 0◦43.1 345◦16.8 14.3 -5◦08.2 13.9 56.2

SD.=15.9 d=-1.0 S.D.=15.5

Tue GHA Dec GHA ν Dec d HP0 181◦42.6 0◦42.1 359◦50.1 14.4 -4◦54.3 13.9 56.21 196◦42.8 0◦41.2 14◦23.5 14.4 -4◦40.4 13.9 56.22 211◦43.1 0◦40.2 28◦57.0 14.5 -4◦26.5 13.9 56.23 226◦43.3 0◦39.2 43◦30.5 14.5 -4◦12.6 13.9 56.24 241◦43.5 0◦38.2 58◦04.0 14.6 -3◦58.7 13.9 56.15 256◦43.7 0◦37.3 72◦37.6 14.6 -3◦44.8 13.9 56.16 271◦44.0 0◦36.3 87◦11.2 14.6 -3◦30.9 13.9 56.17 286◦44.2 0◦35.3 101◦44.8 14.7 -3◦16.9 13.9 56.18 301◦44.4 0◦34.4 116◦18.5 14.7 -3◦03.0 13.9 56.09 316◦44.6 0◦33.4 130◦52.2 14.7 -2◦49.1 13.9 56.010 331◦44.8 0◦32.4 145◦26.0 14.8 -2◦35.2 13.9 56.011 346◦45.1 0◦31.4 159◦59.8 14.8 -2◦21.2 13.9 56.012 1◦45.3 0◦30.5 174◦33.6 14.8 -2◦07.3 13.9 56.013 16◦45.5 0◦29.5 189◦07.4 14.9 -1◦53.4 13.9 55.914 31◦45.7 0◦28.5 203◦41.3 14.9 -1◦39.4 13.9 55.915 46◦46.0 0◦27.6 218◦15.2 14.9 -1◦25.5 13.9 55.916 61◦46.2 0◦26.6 232◦49.1 15.0 -1◦11.6 13.9 55.917 76◦46.4 0◦25.6 247◦23.1 15.0 -0◦57.7 13.9 55.918 91◦46.6 0◦24.6 261◦57.1 15.0 -0◦43.8 13.9 55.819 106◦46.8 0◦23.7 276◦31.1 15.0 -0◦29.9 13.9 55.820 121◦47.1 0◦22.7 291◦05.2 15.1 -0◦16.0 13.9 55.821 136◦47.3 0◦21.7 305◦39.2 15.1 -0◦02.1 13.9 55.822 151◦47.5 0◦20.8 320◦13.3 15.1 0◦11.8 13.9 55.723 166◦47.7 0◦19.8 334◦47.4 15.1 0◦25.6 13.9 55.7

SD.=15.9 d=-1.0 S.D.=15.3

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 02:46 04:21 05:30 18:14 19:23 20:5570 03:09 04:30 05:33 18:12 19:13 20:3468 03:26 04:38 05:35 18:10 19:06 20:1766 03:40 04:44 05:36 18:09 19:00 20:0464 03:51 04:50 05:38 18:07 18:55 19:5462 03:60 04:54 05:39 18:06 18:51 19:4560 04:07 04:58 05:40 18:05 18:47 19:3758 04:14 05:01 05:41 18:05 18:44 19:3156 04:20 05:04 05:42 18:04 18:41 19:2654 04:25 05:07 05:42 18:03 18:39 19:2152 04:29 05:09 05:43 18:03 18:36 19:1650 04:33 05:11 05:44 18:02 18:34 19:1345 04:41 05:15 05:45 18:01 18:30 19:0540 04:47 05:19 05:46 18:00 18:27 18:5935 04:52 05:21 05:47 17:60 18:25 18:5430 04:55 05:23 05:47 17:59 18:23 18:5120 05:01 05:26 05:48 17:58 18:20 18:4610 05:04 05:28 05:49 17:57 18:18 18:430 05:05 05:29 05:50 17:57 18:17 18:41-10 05:05 05:30 05:51 17:56 18:17 18:41-20 05:04 05:29 05:51 17:56 18:18 18:43-30 05:00 05:28 05:52 17:55 18:19 18:47-35 04:58 05:27 05:52 17:55 18:20 18:50-40 04:54 05:25 05:52 17:55 18:22 18:53-45 04:49 05:23 05:53 17:55 18:24 18:58-50 04:43 05:21 05:53 17:55 18:27 19:05-52 04:40 05:20 05:53 17:55 18:28 19:08-54 04:37 05:18 05:53 17:54 18:30 19:12-56 04:33 05:16 05:53 17:54 18:32 19:16-58 04:28 05:14 05:54 17:54 18:34 19:20-60 04:23 05:12 05:54 17:54 18:36 19:26

Moonrise MoonsetLat. Sun Mon Tue Sun Mon Tue72 19:43 19:09 18:42 00:39 03:15 05:2370 19:24 19:01 18:41 01:18 03:32 05:2968 19:10 18:54 18:40 01:45 03:44 05:3366 18:57 18:48 18:40 02:05 03:55 05:3764 18:47 18:43 18:39 02:21 04:04 05:4062 18:39 18:39 18:39 02:34 04:11 05:4360 18:31 18:35 18:38 02:46 04:17 05:4558 18:24 18:32 18:38 02:55 04:23 05:4756 18:18 18:29 18:38 03:04 04:28 05:4954 18:13 18:26 18:37 03:11 04:32 05:5152 18:08 18:23 18:37 03:18 04:36 05:5250 18:04 18:21 18:37 03:24 04:40 05:5345 17:54 18:16 18:36 03:36 04:48 05:5640 17:46 18:12 18:36 03:47 04:54 05:5935 17:39 18:08 18:35 03:56 04:60 06:0130 17:33 18:05 18:35 04:04 05:04 06:0320 17:23 17:60 18:35 04:17 05:13 06:0610 17:13 17:55 18:34 04:29 05:20 06:090 17:05 17:50 18:34 04:40 05:27 06:11-10 16:56 17:46 18:33 04:50 05:33 06:14-20 16:46 17:41 18:33 05:02 05:40 06:16-30 16:36 17:35 18:32 05:15 05:48 06:19-35 16:29 17:32 18:32 05:22 05:53 06:21-40 16:22 17:28 18:32 05:31 05:58 06:23-45 16:14 17:24 18:31 05:41 06:04 06:25-50 16:04 17:18 18:31 05:52 06:11 06:28-52 15:59 17:16 18:31 05:58 06:14 06:29-54 15:54 17:13 18:30 06:04 06:18 06:30-56 15:48 17:11 18:30 06:10 06:22 06:32-58 15:42 17:07 18:30 06:18 06:26 06:33-60 15:34 17:04 18:30 06:26 06:31 06:35

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower19 06:08 06:18 11:53 23:15 10:52 12(97%)20 06:29 06:40 11:53 00:00 11:38 13(100%)21 06:50 07:01 11:52 00:00 12:22 14(100%)

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September 22, 23 ,24 (Wed., Thu., Fri.)Aries Venus Mars Jupiter Saturn

Wed GHA GHA Dec GHA Dec GHA Dec GHA Dec0 1◦04.5 141◦17.5 -17◦10.0 176◦36.9 -1◦05.6 34◦53.4 -14◦49.6 51◦16.5 -19◦16.01 16◦07.0 156◦17.2 -17◦11.1 191◦37.9 -1◦06.3 49◦56.1 -14◦49.7 66◦19.1 -19◦16.02 31◦09.5 171◦16.9 -17◦12.1 206◦38.9 -1◦06.9 64◦58.7 -14◦49.7 81◦21.6 -19◦16.13 46◦11.9 186◦16.6 -17◦13.1 221◦39.8 -1◦07.6 80◦01.4 -14◦49.8 96◦24.2 -19◦16.14 61◦14.4 201◦16.3 -17◦14.2 236◦40.8 -1◦08.2 95◦04.1 -14◦49.9 111◦26.7 -19◦16.15 76◦16.9 216◦16.0 -17◦15.2 251◦41.8 -1◦08.9 110◦06.7 -14◦49.9 126◦29.2 -19◦16.16 91◦19.3 231◦15.7 -17◦16.2 266◦42.8 -1◦09.6 125◦09.4 -14◦50.0 141◦31.8 -19◦16.17 106◦21.8 246◦15.4 -17◦17.2 281◦43.8 -1◦10.2 140◦12.1 -14◦50.1 156◦34.3 -19◦16.28 121◦24.3 261◦15.1 -17◦18.3 296◦44.7 -1◦10.9 155◦14.7 -14◦50.1 171◦36.9 -19◦16.29 136◦26.7 276◦14.8 -17◦19.3 311◦45.7 -1◦11.5 170◦17.4 -14◦50.2 186◦39.4 -19◦16.210 151◦29.2 291◦14.4 -17◦20.3 326◦46.7 -1◦12.2 185◦20.1 -14◦50.3 201◦42.0 -19◦16.211 166◦31.6 306◦14.1 -17◦21.3 341◦47.7 -1◦12.9 200◦22.7 -14◦50.3 216◦44.5 -19◦16.212 181◦34.1 321◦13.8 -17◦22.4 356◦48.7 -1◦13.5 215◦25.4 -14◦50.4 231◦47.0 -19◦16.313 196◦36.6 336◦13.5 -17◦23.4 11◦49.6 -1◦14.2 230◦28.0 -14◦50.5 246◦49.6 -19◦16.314 211◦39.0 351◦13.2 -17◦24.4 26◦50.6 -1◦14.8 245◦30.7 -14◦50.5 261◦52.1 -19◦16.315 226◦41.5 6◦12.9 -17◦25.4 41◦51.6 -1◦15.5 260◦33.4 -14◦50.6 276◦54.7 -19◦16.316 241◦44.0 21◦12.6 -17◦26.4 56◦52.6 -1◦16.2 275◦36.0 -14◦50.6 291◦57.2 -19◦16.317 256◦46.4 36◦12.3 -17◦27.5 71◦53.6 -1◦16.8 290◦38.7 -14◦50.7 306◦59.7 -19◦16.418 271◦48.9 51◦12.0 -17◦28.5 86◦54.5 -1◦17.5 305◦41.4 -14◦50.8 322◦02.3 -19◦16.419 286◦51.4 66◦11.7 -17◦29.5 101◦55.5 -1◦18.1 320◦44.0 -14◦50.8 337◦04.8 -19◦16.420 301◦53.8 81◦11.4 -17◦30.5 116◦56.5 -1◦18.8 335◦46.7 -14◦50.9 352◦07.4 -19◦16.421 316◦56.3 96◦11.1 -17◦31.5 131◦57.5 -1◦19.5 350◦49.3 -14◦51.0 7◦09.9 -19◦16.422 331◦58.8 111◦10.8 -17◦32.5 146◦58.5 -1◦20.1 5◦52.0 -14◦51.0 22◦12.4 -19◦16.523 347◦01.2 126◦10.5 -17◦33.6 161◦59.4 -1◦20.8 20◦54.7 -14◦51.1 37◦15.0 -19◦16.5Mer.pass.:23:51 v-0.3 d-1.0 m-4.0 v1.0 d-0.7 m1.7 v2.7 d-0.1 m-2.6 v2.5 d-0.0 m0.4

Thu GHA GHA Dec GHA Dec GHA Dec GHA Dec0 2◦03.7 141◦10.2 -17◦34.6 177◦00.4 -1◦21.4 35◦57.3 -14◦51.2 52◦17.5 -19◦16.51 17◦06.1 156◦09.8 -17◦35.6 192◦01.4 -1◦22.1 50◦60.0 -14◦51.2 67◦20.1 -19◦16.52 32◦08.6 171◦09.5 -17◦36.6 207◦02.4 -1◦22.8 66◦02.6 -14◦51.3 82◦22.6 -19◦16.53 47◦11.1 186◦09.2 -17◦37.6 222◦03.3 -1◦23.4 81◦05.3 -14◦51.3 97◦25.1 -19◦16.54 62◦13.5 201◦08.9 -17◦38.6 237◦04.3 -1◦24.1 96◦08.0 -14◦51.4 112◦27.7 -19◦16.65 77◦16.0 216◦08.6 -17◦39.6 252◦05.3 -1◦24.7 111◦10.6 -14◦51.5 127◦30.2 -19◦16.66 92◦18.5 231◦08.3 -17◦40.6 267◦06.3 -1◦25.4 126◦13.3 -14◦51.5 142◦32.8 -19◦16.67 107◦20.9 246◦08.0 -17◦41.7 282◦07.3 -1◦26.1 141◦15.9 -14◦51.6 157◦35.3 -19◦16.68 122◦23.4 261◦07.7 -17◦42.7 297◦08.2 -1◦26.7 156◦18.6 -14◦51.7 172◦37.8 -19◦16.69 137◦25.9 276◦07.4 -17◦43.7 312◦09.2 -1◦27.4 171◦21.3 -14◦51.7 187◦40.4 -19◦16.710 152◦28.3 291◦07.0 -17◦44.7 327◦10.2 -1◦28.0 186◦23.9 -14◦51.8 202◦42.9 -19◦16.711 167◦30.8 306◦06.7 -17◦45.7 342◦11.2 -1◦28.7 201◦26.6 -14◦51.8 217◦45.4 -19◦16.712 182◦33.2 321◦06.4 -17◦46.7 357◦12.2 -1◦29.4 216◦29.2 -14◦51.9 232◦48.0 -19◦16.713 197◦35.7 336◦06.1 -17◦47.7 12◦13.1 -1◦30.0 231◦31.9 -14◦52.0 247◦50.5 -19◦16.714 212◦38.2 351◦05.8 -17◦48.7 27◦14.1 -1◦30.7 246◦34.5 -14◦52.0 262◦53.1 -19◦16.815 227◦40.6 6◦05.5 -17◦49.7 42◦15.1 -1◦31.3 261◦37.2 -14◦52.1 277◦55.6 -19◦16.816 242◦43.1 21◦05.2 -17◦50.7 57◦16.1 -1◦32.0 276◦39.8 -14◦52.2 292◦58.1 -19◦16.817 257◦45.6 36◦04.9 -17◦51.7 72◦17.0 -1◦32.7 291◦42.5 -14◦52.2 308◦00.7 -19◦16.818 272◦48.0 51◦04.5 -17◦52.7 87◦18.0 -1◦33.3 306◦45.2 -14◦52.3 323◦03.2 -19◦16.819 287◦50.5 66◦04.2 -17◦53.7 102◦19.0 -1◦34.0 321◦47.8 -14◦52.3 338◦05.7 -19◦16.820 302◦53.0 81◦03.9 -17◦54.7 117◦20.0 -1◦34.6 336◦50.5 -14◦52.4 353◦08.3 -19◦16.921 317◦55.4 96◦03.6 -17◦55.7 132◦21.0 -1◦35.3 351◦53.1 -14◦52.5 8◦10.8 -19◦16.922 332◦57.9 111◦03.3 -17◦56.7 147◦21.9 -1◦36.0 6◦55.8 -14◦52.5 23◦13.3 -19◦16.923 348◦00.4 126◦03.0 -17◦57.7 162◦22.9 -1◦36.6 21◦58.4 -14◦52.6 38◦15.9 -19◦16.9Mer.pass.:23:47 v-0.3 d-1.0 m-4.0 v1.0 d-0.7 m1.7 v2.7 d-0.1 m-2.6 v2.5 d-0.0 m0.4

Fri GHA GHA Dec GHA Dec GHA Dec GHA Dec0 3◦02.8 141◦02.7 -17◦58.7 177◦23.9 -1◦37.3 37◦01.1 -14◦52.6 53◦18.4 -19◦16.91 18◦05.3 156◦02.3 -17◦59.7 192◦24.9 -1◦37.9 52◦03.7 -14◦52.7 68◦20.9 -19◦17.02 33◦07.7 171◦02.0 -18◦00.7 207◦25.8 -1◦38.6 67◦06.4 -14◦52.8 83◦23.5 -19◦17.03 48◦10.2 186◦01.7 -18◦01.7 222◦26.8 -1◦39.3 82◦09.0 -14◦52.8 98◦26.0 -19◦17.04 63◦12.7 201◦01.4 -18◦02.7 237◦27.8 -1◦39.9 97◦11.7 -14◦52.9 113◦28.6 -19◦17.05 78◦15.1 216◦01.1 -18◦03.7 252◦28.8 -1◦40.6 112◦14.3 -14◦52.9 128◦31.1 -19◦17.06 93◦17.6 231◦00.8 -18◦04.7 267◦29.7 -1◦41.2 127◦17.0 -14◦53.0 143◦33.6 -19◦17.07 108◦20.1 246◦00.4 -18◦05.7 282◦30.7 -1◦41.9 142◦19.7 -14◦53.1 158◦36.2 -19◦17.18 123◦22.5 261◦00.1 -18◦06.7 297◦31.7 -1◦42.6 157◦22.3 -14◦53.1 173◦38.7 -19◦17.19 138◦25.0 275◦59.8 -18◦07.7 312◦32.7 -1◦43.2 172◦25.0 -14◦53.2 188◦41.2 -19◦17.110 153◦27.5 290◦59.5 -18◦08.7 327◦33.7 -1◦43.9 187◦27.6 -14◦53.2 203◦43.8 -19◦17.111 168◦29.9 305◦59.2 -18◦09.7 342◦34.6 -1◦44.5 202◦30.3 -14◦53.3 218◦46.3 -19◦17.112 183◦32.4 320◦58.8 -18◦10.6 357◦35.6 -1◦45.2 217◦32.9 -14◦53.4 233◦48.8 -19◦17.213 198◦34.8 335◦58.5 -18◦11.6 12◦36.6 -1◦45.9 232◦35.6 -14◦53.4 248◦51.4 -19◦17.214 213◦37.3 350◦58.2 -18◦12.6 27◦37.6 -1◦46.5 247◦38.2 -14◦53.5 263◦53.9 -19◦17.215 228◦39.8 5◦57.9 -18◦13.6 42◦38.5 -1◦47.2 262◦40.9 -14◦53.5 278◦56.4 -19◦17.216 243◦42.2 20◦57.6 -18◦14.6 57◦39.5 -1◦47.8 277◦43.5 -14◦53.6 293◦59.0 -19◦17.217 258◦44.7 35◦57.2 -18◦15.6 72◦40.5 -1◦48.5 292◦46.2 -14◦53.7 309◦01.5 -19◦17.218 273◦47.2 50◦56.9 -18◦16.6 87◦41.5 -1◦49.2 307◦48.8 -14◦53.7 324◦04.0 -19◦17.319 288◦49.6 65◦56.6 -18◦17.6 102◦42.4 -1◦49.8 322◦51.4 -14◦53.8 339◦06.6 -19◦17.320 303◦52.1 80◦56.3 -18◦18.5 117◦43.4 -1◦50.5 337◦54.1 -14◦53.8 354◦09.1 -19◦17.321 318◦54.6 95◦56.0 -18◦19.5 132◦44.4 -1◦51.1 352◦56.7 -14◦53.9 9◦11.6 -19◦17.322 333◦57.0 110◦55.6 -18◦20.5 147◦45.4 -1◦51.8 7◦59.4 -14◦54.0 24◦14.2 -19◦17.323 348◦59.5 125◦55.3 -18◦21.5 162◦46.3 -1◦52.5 23◦02.0 -14◦54.0 39◦16.7 -19◦17.3Mer.pass.:23:43 v-0.3 d-1.0 m-4.0 v1.0 d-0.7 m1.7 v2.7 d-0.1 m-2.6 v2.5 d-0.0 m0.4

StarsSHA Dec

Alpheratz 357◦37.2 29◦12.7Ankaa 353◦09.4 -42◦11.3

Schedar 349◦33.5 56◦39.3Diphda 348◦49.6 -17◦52.0

Achernar 335◦21.7 -57◦07.5Hamal 327◦54.0 23◦33.9Polaris 314◦57.8 89◦21.1Akamar 315◦13.5 -40◦12.9Menkar 314◦08.7 4◦10.5Mirfak 308◦31.8 49◦56.1

Aldebaran 290◦42.6 16◦33.2Rigel 281◦06.4 -8◦10.5

Capella 280◦25.8 46◦01.1Bellatrix 278◦25.7 6◦22.2Elnath 278◦05.2 28◦37.5Alnilam 275◦40.4 -1◦11.2

Betelgeuse 270◦55.0 7◦24.7Canopus 263◦53.6 -52◦42.1

Sirius 258◦28.6 -16◦44.3Adara 255◦08.1 -28◦59.8

Procyon 244◦53.7 5◦10.4Pollux 243◦20.7 27◦58.4Avior 234◦16.2 -59◦34.4Suhail 222◦48.6 -43◦30.9

Miaplacidus 221◦39.4 -69◦48.0Alphard 217◦50.6 -8◦44.9Regulus 207◦37.6 11◦51.8Dubhe 193◦45.0 61◦38.1

Denebola 182◦28.0 14◦27.3Gienah 175◦46.7 -17◦39.5Acrux 173◦03.8 -63◦13.0

Gacrux 171◦55.2 -57◦13.9Alioth 166◦16.0 55◦50.7Spica 158◦25.5 -11◦16.3Alcaid 152◦54.6 49◦12.6Hadar 148◦40.4 -60◦28.6

Menkent 148◦01.1 -36◦28.5Arcturus 145◦50.5 19◦04.7

Rigil Kent. 139◦44.5 -60◦55.5Zubenelg. 136◦59.3 -16◦07.8Kochab 137◦20.7 74◦04.3

Alphecca 126◦06.3 26◦38.8Antares 112◦19.3 -26◦28.7

Atria 107◦16.1 -69◦04.1Sabik 102◦06.0 -15◦45.0

Shaula 96◦14.1 -37◦07.2Rasalhague 96◦01.1 12◦32.9

Etamin 90◦43.5 51◦29.5Kaus Aust. 83◦36.1 -34◦22.5

Vega 80◦35.0 38◦48.5Nunki 75◦51.0 -26◦16.2Altair 62◦02.5 8◦55.6

Peacock 53◦09.7 -56◦40.1Deneb 49◦27.3 45◦21.7

Enif 33◦41.2 9◦58.6Alnair 27◦36.0 -46◦51.4

Fomalhaut 15◦17.2 -29◦30.4Scheat 13◦47.5 28◦12.1Markab 13◦32.3 15◦19.4

2021/9/2 SHA Mer.passVenus 140◦12.9 14:35Mars 175◦32.4 12:13

Jupiter 33◦48.9 21:37Saturn 50◦12.0 20:31

2021/9/2 SHA Mer.passVenus 139◦06.5 14:36Mars 174◦56.7 12:11

Jupiter 33◦53.6 21:32Saturn 50◦13.8 20:27

2021/9/2 SHA Mer.passVenus 137◦59.8 14:36Mars 174◦21.1 12:10

Jupiter 33◦58.3 21:28Saturn 50◦15.6 20:23

Horizontal paralaxVenus: 0.2Mars: 0.1

178

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2021 September 22 to Sep. 24

h Sun MoonWed GHA Dec GHA ν Dec d HP0 181◦48.0 0◦18.8 349◦21.6 15.1 0◦39.5 13.8 55.71 196◦48.2 0◦17.8 3◦55.7 15.2 0◦53.3 13.8 55.72 211◦48.4 0◦16.9 18◦29.9 15.2 1◦07.1 13.8 55.73 226◦48.6 0◦15.9 33◦04.1 15.2 1◦20.9 13.8 55.64 241◦48.8 0◦14.9 47◦38.3 15.2 1◦34.7 13.8 55.65 256◦49.1 0◦13.9 62◦12.5 15.2 1◦48.5 13.8 55.66 271◦49.3 0◦13.0 76◦46.7 15.2 2◦02.2 13.7 55.67 286◦49.5 0◦12.0 91◦21.0 15.3 2◦16.0 13.7 55.68 301◦49.7 0◦11.0 105◦55.3 15.3 2◦29.7 13.7 55.59 316◦49.9 0◦10.1 120◦29.5 15.3 2◦43.4 13.7 55.510 331◦50.2 0◦09.1 135◦03.8 15.3 2◦57.0 13.7 55.511 346◦50.4 0◦08.1 149◦38.1 15.3 3◦10.7 13.6 55.512 1◦50.6 0◦07.1 164◦12.4 15.3 3◦24.3 13.6 55.513 16◦50.8 0◦06.2 178◦46.7 15.3 3◦37.9 13.6 55.414 31◦51.0 0◦05.2 193◦21.1 15.3 3◦51.5 13.6 55.415 46◦51.3 0◦04.2 207◦55.4 15.3 4◦05.0 13.5 55.416 61◦51.5 0◦03.3 222◦29.7 15.3 4◦18.6 13.5 55.417 76◦51.7 0◦02.3 237◦04.1 15.3 4◦32.1 13.5 55.418 91◦51.9 0◦01.3 251◦38.4 15.4 4◦45.5 13.5 55.319 106◦52.1 0◦00.3 266◦12.8 15.4 4◦59.0 13.4 55.320 121◦52.4 -0◦00.6 280◦47.2 15.4 5◦12.4 13.4 55.321 136◦52.6 -0◦01.6 295◦21.5 15.4 5◦25.8 13.4 55.322 151◦52.8 -0◦02.6 309◦55.9 15.4 5◦39.1 13.3 55.323 166◦53.0 -0◦03.6 324◦30.2 15.4 5◦52.4 13.3 55.2

SD.=15.9 d=-1.0 S.D.=15.2

Thu GHA Dec GHA ν Dec d HP0 181◦53.3 -0◦04.5 339◦04.6 15.4 6◦05.7 13.3 55.21 196◦53.5 -0◦05.5 353◦38.9 15.4 6◦19.0 13.2 55.22 211◦53.7 -0◦06.5 8◦13.3 15.4 6◦32.2 13.2 55.23 226◦53.9 -0◦07.4 22◦47.6 15.3 6◦45.4 13.2 55.24 241◦54.1 -0◦08.4 37◦22.0 15.3 6◦58.5 13.1 55.15 256◦54.4 -0◦09.4 51◦56.3 15.3 7◦11.6 13.1 55.16 271◦54.6 -0◦10.4 66◦30.7 15.3 7◦24.7 13.0 55.17 286◦54.8 -0◦11.3 81◦05.0 15.3 7◦37.7 13.0 55.18 301◦55.0 -0◦12.3 95◦39.3 15.3 7◦50.7 13.0 55.19 316◦55.2 -0◦13.3 110◦13.6 15.3 8◦03.7 12.9 55.010 331◦55.5 -0◦14.3 124◦47.9 15.3 8◦16.6 12.9 55.011 346◦55.7 -0◦15.2 139◦22.2 15.3 8◦29.4 12.8 55.012 1◦55.9 -0◦16.2 153◦56.5 15.3 8◦42.3 12.8 55.013 16◦56.1 -0◦17.2 168◦30.8 15.3 8◦55.0 12.8 55.014 31◦56.3 -0◦18.1 183◦05.0 15.2 9◦07.8 12.7 55.015 46◦56.5 -0◦19.1 197◦39.3 15.2 9◦20.5 12.7 54.916 61◦56.8 -0◦20.1 212◦13.5 15.2 9◦33.1 12.6 54.917 76◦57.0 -0◦21.1 226◦47.7 15.2 9◦45.7 12.6 54.918 91◦57.2 -0◦22.0 241◦21.9 15.2 9◦58.3 12.5 54.919 106◦57.4 -0◦23.0 255◦56.1 15.2 10◦10.8 12.5 54.920 121◦57.6 -0◦24.0 270◦30.3 15.2 10◦23.2 12.4 54.921 136◦57.9 -0◦25.0 285◦04.4 15.1 10◦35.6 12.4 54.822 151◦58.1 -0◦25.9 299◦38.5 15.1 10◦48.0 12.3 54.823 166◦58.3 -0◦26.9 314◦12.6 15.1 11◦00.3 12.3 54.8

SD.=15.9 d=-1.0 S.D.=15.1

Fri GHA Dec GHA ν Dec d HP0 181◦58.5 -0◦27.9 328◦46.7 15.1 11◦12.5 12.2 54.81 196◦58.7 -0◦28.9 343◦20.8 15.1 11◦24.7 12.2 54.82 211◦59.0 -0◦29.8 357◦54.8 15.0 11◦36.9 12.1 54.83 226◦59.2 -0◦30.8 12◦28.8 15.0 11◦49.0 12.1 54.74 241◦59.4 -0◦31.8 27◦02.8 15.0 12◦01.0 12.0 54.75 256◦59.6 -0◦32.7 41◦36.8 15.0 12◦13.0 12.0 54.76 271◦59.8 -0◦33.7 56◦10.8 14.9 12◦24.9 11.9 54.77 287◦00.0 -0◦34.7 70◦44.7 14.9 12◦36.8 11.8 54.78 302◦00.3 -0◦35.7 85◦18.6 14.9 12◦48.6 11.8 54.79 317◦00.5 -0◦36.6 99◦52.5 14.9 13◦00.4 11.7 54.710 332◦00.7 -0◦37.6 114◦26.3 14.8 13◦12.0 11.7 54.611 347◦00.9 -0◦38.6 129◦00.1 14.8 13◦23.7 11.6 54.612 2◦01.1 -0◦39.6 143◦33.9 14.8 13◦35.3 11.5 54.613 17◦01.4 -0◦40.5 158◦07.7 14.7 13◦46.8 11.5 54.614 32◦01.6 -0◦41.5 172◦41.4 14.7 13◦58.2 11.4 54.615 47◦01.8 -0◦42.5 187◦15.1 14.7 14◦09.6 11.4 54.616 62◦02.0 -0◦43.5 201◦48.8 14.6 14◦20.9 11.3 54.617 77◦02.2 -0◦44.4 216◦22.4 14.6 14◦32.2 11.2 54.518 92◦02.4 -0◦45.4 230◦56.0 14.6 14◦43.4 11.2 54.519 107◦02.7 -0◦46.4 245◦29.6 14.5 14◦54.5 11.1 54.520 122◦02.9 -0◦47.3 260◦03.1 14.5 15◦05.6 11.0 54.521 137◦03.1 -0◦48.3 274◦36.6 14.5 15◦16.6 11.0 54.522 152◦03.3 -0◦49.3 289◦10.0 14.4 15◦27.5 10.9 54.523 167◦03.5 -0◦50.3 303◦43.5 14.4 15◦38.4 10.8 54.5

SD.=15.9 d=-1.0 S.D.=14.9

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 03:05 04:35 05:44 17:58 19:06 20:3570 03:24 04:43 05:45 17:58 18:59 20:1668 03:39 04:49 05:45 17:57 18:53 20:0266 03:51 04:54 05:46 17:57 18:48 19:5164 04:00 04:59 05:46 17:57 18:44 19:4262 04:08 05:02 05:47 17:57 18:41 19:3460 04:15 05:05 05:47 17:56 18:38 19:2758 04:21 05:08 05:47 17:56 18:35 19:2256 04:26 05:10 05:47 17:56 18:33 19:1754 04:30 05:12 05:48 17:56 18:31 19:1352 04:34 05:14 05:48 17:56 18:29 19:0950 04:38 05:16 05:48 17:56 18:28 19:0645 04:45 05:19 05:48 17:55 18:25 18:5940 04:50 05:22 05:49 17:55 18:22 18:5435 04:54 05:24 05:49 17:55 18:20 18:5030 04:57 05:25 05:49 17:55 18:19 18:4720 05:01 05:27 05:49 17:55 18:17 18:4310 05:04 05:28 05:49 17:55 18:16 18:410 05:04 05:28 05:49 17:56 18:16 18:40-10 05:04 05:28 05:49 17:56 18:17 18:41-20 05:01 05:27 05:49 17:56 18:18 18:44-30 04:56 05:24 05:48 17:57 18:21 18:49-35 04:53 05:23 05:48 17:57 18:23 18:52-40 04:49 05:20 05:47 17:58 18:25 18:56-45 04:43 05:18 05:47 17:58 18:28 19:02-50 04:36 05:14 05:46 17:59 18:31 19:10-52 04:33 05:12 05:46 17:59 18:33 19:13-54 04:29 05:11 05:46 17:60 18:35 19:17-56 04:24 05:08 05:45 18:00 18:38 19:22-58 04:19 05:06 05:45 18:01 18:40 19:27-60 04:13 05:03 05:45 18:01 18:43 19:33

Moonrise MoonsetLat. Wed Thu Fri Wed Thu Fri72 18:15 17:45 17:05 07:23 09:23 11:3470 18:21 18:00 17:34 07:20 09:10 11:0668 18:27 18:12 17:55 07:17 09:00 10:4666 18:31 18:22 18:13 07:15 08:52 10:3064 18:35 18:31 18:27 07:13 08:45 10:1762 18:38 18:38 18:39 07:11 08:39 10:0660 18:41 18:45 18:49 07:10 08:34 09:5758 18:44 18:50 18:58 07:09 08:29 09:4956 18:46 18:55 19:06 07:08 08:25 09:4254 18:48 18:60 19:13 07:07 08:21 09:3652 18:50 19:04 19:19 07:06 08:18 09:3050 18:52 19:08 19:25 07:05 08:15 09:2545 18:56 19:16 19:37 07:03 08:09 09:1440 18:59 19:22 19:48 07:02 08:04 09:0535 19:02 19:28 19:57 07:00 07:59 08:5730 19:04 19:34 20:05 06:59 07:55 08:5020 19:09 19:43 20:18 06:57 07:48 08:3910 19:12 19:51 20:30 06:56 07:42 08:280 19:16 19:58 20:41 06:54 07:36 08:19-10 19:20 20:06 20:53 06:52 07:31 08:09-20 19:24 20:14 21:05 06:51 07:25 07:59-30 19:28 20:24 21:19 06:49 07:18 07:48-35 19:31 20:29 21:27 06:48 07:14 07:41-40 19:34 20:35 21:37 06:46 07:09 07:34-45 19:37 20:43 21:48 06:45 07:04 07:25-50 19:42 20:51 22:01 06:43 06:58 07:15-52 19:44 20:56 22:07 06:42 06:55 07:10-54 19:46 21:00 22:14 06:41 06:52 07:05-56 19:48 21:05 22:22 06:40 06:49 06:59-58 19:51 21:11 22:31 06:39 06:45 06:52-60 19:54 21:17 22:41 06:38 06:41 06:45

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower22 07:12 07:22 11:52 00:43 13:05 15(98%)23 07:33 07:43 11:52 01:26 13:47 16(94%)24 07:54 08:04 11:51 02:08 14:30 17(88%)

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September 25, 26 ,27 (Sat., Sun., Mon.)Aries Venus Mars Jupiter Saturn

Sat GHA GHA Dec GHA Dec GHA Dec GHA Dec0 4◦02.0 140◦55.0 -18◦22.5 177◦47.3 -1◦53.1 38◦04.7 -14◦54.1 54◦19.2 -19◦17.41 19◦04.4 155◦54.7 -18◦23.5 192◦48.3 -1◦53.8 53◦07.3 -14◦54.1 69◦21.7 -19◦17.42 34◦06.9 170◦54.3 -18◦24.4 207◦49.3 -1◦54.4 68◦10.0 -14◦54.2 84◦24.3 -19◦17.43 49◦09.3 185◦54.0 -18◦25.4 222◦50.2 -1◦55.1 83◦12.6 -14◦54.2 99◦26.8 -19◦17.44 64◦11.8 200◦53.7 -18◦26.4 237◦51.2 -1◦55.7 98◦15.3 -14◦54.3 114◦29.3 -19◦17.45 79◦14.3 215◦53.4 -18◦27.4 252◦52.2 -1◦56.4 113◦17.9 -14◦54.4 129◦31.9 -19◦17.46 94◦16.7 230◦53.1 -18◦28.3 267◦53.2 -1◦57.1 128◦20.6 -14◦54.4 144◦34.4 -19◦17.57 109◦19.2 245◦52.7 -18◦29.3 282◦54.1 -1◦57.7 143◦23.2 -14◦54.5 159◦36.9 -19◦17.58 124◦21.7 260◦52.4 -18◦30.3 297◦55.1 -1◦58.4 158◦25.8 -14◦54.5 174◦39.5 -19◦17.59 139◦24.1 275◦52.1 -18◦31.3 312◦56.1 -1◦59.0 173◦28.5 -14◦54.6 189◦42.0 -19◦17.510 154◦26.6 290◦51.8 -18◦32.2 327◦57.1 -1◦59.7 188◦31.1 -14◦54.7 204◦44.5 -19◦17.511 169◦29.1 305◦51.4 -18◦33.2 342◦58.0 -2◦00.4 203◦33.8 -14◦54.7 219◦47.1 -19◦17.512 184◦31.5 320◦51.1 -18◦34.2 357◦59.0 -2◦01.0 218◦36.4 -14◦54.8 234◦49.6 -19◦17.613 199◦34.0 335◦50.8 -18◦35.2 12◦60.0 -2◦01.7 233◦39.1 -14◦54.8 249◦52.1 -19◦17.614 214◦36.5 350◦50.5 -18◦36.1 28◦01.0 -2◦02.3 248◦41.7 -14◦54.9 264◦54.6 -19◦17.615 229◦38.9 5◦50.1 -18◦37.1 43◦01.9 -2◦03.0 263◦44.4 -14◦54.9 279◦57.2 -19◦17.616 244◦41.4 20◦49.8 -18◦38.1 58◦02.9 -2◦03.7 278◦47.0 -14◦55.0 294◦59.7 -19◦17.617 259◦43.8 35◦49.5 -18◦39.1 73◦03.9 -2◦04.3 293◦49.6 -14◦55.0 310◦02.2 -19◦17.618 274◦46.3 50◦49.1 -18◦40.0 88◦04.9 -2◦05.0 308◦52.3 -14◦55.1 325◦04.8 -19◦17.719 289◦48.8 65◦48.8 -18◦41.0 103◦05.8 -2◦05.6 323◦54.9 -14◦55.2 340◦07.3 -19◦17.720 304◦51.2 80◦48.5 -18◦42.0 118◦06.8 -2◦06.3 338◦57.6 -14◦55.2 355◦09.8 -19◦17.721 319◦53.7 95◦48.2 -18◦42.9 133◦07.8 -2◦07.0 354◦00.2 -14◦55.3 10◦12.3 -19◦17.722 334◦56.2 110◦47.8 -18◦43.9 148◦08.8 -2◦07.6 9◦02.8 -14◦55.3 25◦14.9 -19◦17.723 349◦58.6 125◦47.5 -18◦44.9 163◦09.7 -2◦08.3 24◦05.5 -14◦55.4 40◦17.4 -19◦17.7Mer.pass.:23:39 v-0.3 d-1.0 m-4.0 v1.0 d-0.7 m1.7 v2.6 d-0.1 m-2.6 v2.5 d-0.0 m0.4

Sun GHA GHA Dec GHA Dec GHA Dec GHA Dec0 5◦01.1 140◦47.2 -18◦45.8 178◦10.7 -2◦08.9 39◦08.1 -14◦55.4 55◦19.9 -19◦17.81 20◦03.6 155◦46.8 -18◦46.8 193◦11.7 -2◦09.6 54◦10.8 -14◦55.5 70◦22.5 -19◦17.82 35◦06.0 170◦46.5 -18◦47.7 208◦12.7 -2◦10.3 69◦13.4 -14◦55.6 85◦25.0 -19◦17.83 50◦08.5 185◦46.2 -18◦48.7 223◦13.6 -2◦10.9 84◦16.0 -14◦55.6 100◦27.5 -19◦17.84 65◦10.9 200◦45.8 -18◦49.7 238◦14.6 -2◦11.6 99◦18.7 -14◦55.7 115◦30.0 -19◦17.85 80◦13.4 215◦45.5 -18◦50.6 253◦15.6 -2◦12.2 114◦21.3 -14◦55.7 130◦32.6 -19◦17.86 95◦15.9 230◦45.2 -18◦51.6 268◦16.6 -2◦12.9 129◦24.0 -14◦55.8 145◦35.1 -19◦17.97 110◦18.3 245◦44.9 -18◦52.6 283◦17.5 -2◦13.6 144◦26.6 -14◦55.8 160◦37.6 -19◦17.98 125◦20.8 260◦44.5 -18◦53.5 298◦18.5 -2◦14.2 159◦29.2 -14◦55.9 175◦40.1 -19◦17.99 140◦23.3 275◦44.2 -18◦54.5 313◦19.5 -2◦14.9 174◦31.9 -14◦55.9 190◦42.7 -19◦17.910 155◦25.7 290◦43.9 -18◦55.4 328◦20.5 -2◦15.5 189◦34.5 -14◦56.0 205◦45.2 -19◦17.911 170◦28.2 305◦43.5 -18◦56.4 343◦21.4 -2◦16.2 204◦37.1 -14◦56.0 220◦47.7 -19◦17.912 185◦30.7 320◦43.2 -18◦57.3 358◦22.4 -2◦16.9 219◦39.8 -14◦56.1 235◦50.2 -19◦17.913 200◦33.1 335◦42.9 -18◦58.3 13◦23.4 -2◦17.5 234◦42.4 -14◦56.2 250◦52.8 -19◦18.014 215◦35.6 350◦42.5 -18◦59.3 28◦24.3 -2◦18.2 249◦45.0 -14◦56.2 265◦55.3 -19◦18.015 230◦38.1 5◦42.2 -19◦00.2 43◦25.3 -2◦18.8 264◦47.7 -14◦56.3 280◦57.8 -19◦18.016 245◦40.5 20◦41.9 -19◦01.2 58◦26.3 -2◦19.5 279◦50.3 -14◦56.3 296◦00.3 -19◦18.017 260◦43.0 35◦41.5 -19◦02.1 73◦27.3 -2◦20.2 294◦53.0 -14◦56.4 311◦02.9 -19◦18.018 275◦45.4 50◦41.2 -19◦03.1 88◦28.2 -2◦20.8 309◦55.6 -14◦56.4 326◦05.4 -19◦18.019 290◦47.9 65◦40.9 -19◦04.0 103◦29.2 -2◦21.5 324◦58.2 -14◦56.5 341◦07.9 -19◦18.120 305◦50.4 80◦40.5 -19◦05.0 118◦30.2 -2◦22.1 340◦00.9 -14◦56.5 356◦10.4 -19◦18.121 320◦52.8 95◦40.2 -19◦05.9 133◦31.1 -2◦22.8 355◦03.5 -14◦56.6 11◦13.0 -19◦18.122 335◦55.3 110◦39.9 -19◦06.9 148◦32.1 -2◦23.5 10◦06.1 -14◦56.6 26◦15.5 -19◦18.123 350◦57.8 125◦39.5 -19◦07.8 163◦33.1 -2◦24.1 25◦08.8 -14◦56.7 41◦18.0 -19◦18.1Mer.pass.:23:36 v-0.3 d-1.0 m-4.0 v1.0 d-0.7 m1.7 v2.6 d-0.1 m-2.6 v2.5 d-0.0 m0.5

Mon GHA GHA Dec GHA Dec GHA Dec GHA Dec0 6◦00.2 140◦39.2 -19◦08.8 178◦34.1 -2◦24.8 40◦11.4 -14◦56.7 56◦20.5 -19◦18.11 21◦02.7 155◦38.8 -19◦09.7 193◦35.0 -2◦25.4 55◦14.0 -14◦56.8 71◦23.1 -19◦18.12 36◦05.2 170◦38.5 -19◦10.6 208◦36.0 -2◦26.1 70◦16.7 -14◦56.9 86◦25.6 -19◦18.23 51◦07.6 185◦38.2 -19◦11.6 223◦37.0 -2◦26.7 85◦19.3 -14◦56.9 101◦28.1 -19◦18.24 66◦10.1 200◦37.8 -19◦12.5 238◦38.0 -2◦27.4 100◦21.9 -14◦57.0 116◦30.6 -19◦18.25 81◦12.6 215◦37.5 -19◦13.5 253◦38.9 -2◦28.1 115◦24.6 -14◦57.0 131◦33.2 -19◦18.26 96◦15.0 230◦37.2 -19◦14.4 268◦39.9 -2◦28.7 130◦27.2 -14◦57.1 146◦35.7 -19◦18.27 111◦17.5 245◦36.8 -19◦15.4 283◦40.9 -2◦29.4 145◦29.8 -14◦57.1 161◦38.2 -19◦18.28 126◦19.9 260◦36.5 -19◦16.3 298◦41.8 -2◦30.0 160◦32.4 -14◦57.2 176◦40.7 -19◦18.29 141◦22.4 275◦36.1 -19◦17.3 313◦42.8 -2◦30.7 175◦35.1 -14◦57.2 191◦43.2 -19◦18.310 156◦24.9 290◦35.8 -19◦18.2 328◦43.8 -2◦31.4 190◦37.7 -14◦57.3 206◦45.8 -19◦18.311 171◦27.3 305◦35.5 -19◦19.1 343◦44.8 -2◦32.0 205◦40.3 -14◦57.3 221◦48.3 -19◦18.312 186◦29.8 320◦35.1 -19◦20.1 358◦45.7 -2◦32.7 220◦43.0 -14◦57.4 236◦50.8 -19◦18.313 201◦32.3 335◦34.8 -19◦21.0 13◦46.7 -2◦33.3 235◦45.6 -14◦57.4 251◦53.3 -19◦18.314 216◦34.7 350◦34.4 -19◦21.9 28◦47.7 -2◦34.0 250◦48.2 -14◦57.5 266◦55.8 -19◦18.315 231◦37.2 5◦34.1 -19◦22.9 43◦48.6 -2◦34.7 265◦50.9 -14◦57.5 281◦58.4 -19◦18.316 246◦39.7 20◦33.8 -19◦23.8 58◦49.6 -2◦35.3 280◦53.5 -14◦57.6 297◦00.9 -19◦18.417 261◦42.1 35◦33.4 -19◦24.8 73◦50.6 -2◦36.0 295◦56.1 -14◦57.6 312◦03.4 -19◦18.418 276◦44.6 50◦33.1 -19◦25.7 88◦51.5 -2◦36.6 310◦58.7 -14◦57.7 327◦05.9 -19◦18.419 291◦47.0 65◦32.7 -19◦26.6 103◦52.5 -2◦37.3 326◦01.4 -14◦57.7 342◦08.5 -19◦18.420 306◦49.5 80◦32.4 -19◦27.6 118◦53.5 -2◦38.0 341◦04.0 -14◦57.8 357◦11.0 -19◦18.421 321◦52.0 95◦32.1 -19◦28.5 133◦54.5 -2◦38.6 356◦06.6 -14◦57.8 12◦13.5 -19◦18.422 336◦54.4 110◦31.7 -19◦29.4 148◦55.4 -2◦39.3 11◦09.2 -14◦57.9 27◦16.0 -19◦18.423 351◦56.9 125◦31.4 -19◦30.3 163◦56.4 -2◦39.9 26◦11.9 -14◦57.9 42◦18.5 -19◦18.5Mer.pass.:23:32 v-0.3 d-0.9 m-4.1 v1.0 d-0.7 m1.7 v2.6 d-0.1 m-2.6 v2.5 d-0.0 m0.5

StarsSHA Dec

Alpheratz 357◦37.2 29◦12.7Ankaa 353◦09.4 -42◦11.3

Schedar 349◦33.5 56◦39.3Diphda 348◦49.6 -17◦52.0

Achernar 335◦21.7 -57◦07.5Hamal 327◦54.0 23◦33.9Polaris 314◦56.5 89◦21.1Akamar 315◦13.5 -40◦12.9Menkar 314◦08.7 4◦10.5Mirfak 308◦31.8 49◦56.1

Aldebaran 290◦42.6 16◦33.2Rigel 281◦06.4 -8◦10.5

Capella 280◦25.8 46◦01.1Bellatrix 278◦25.7 6◦22.2Elnath 278◦05.2 28◦37.5Alnilam 275◦40.4 -1◦11.2

Betelgeuse 270◦55.0 7◦24.7Canopus 263◦53.6 -52◦42.1

Sirius 258◦28.6 -16◦44.3Adara 255◦08.0 -28◦59.8

Procyon 244◦53.7 5◦10.4Pollux 243◦20.6 27◦58.4Avior 234◦16.1 -59◦34.4Suhail 222◦48.6 -43◦30.9

Miaplacidus 221◦39.4 -69◦48.0Alphard 217◦50.6 -8◦44.9Regulus 207◦37.6 11◦51.8Dubhe 193◦45.0 61◦38.1

Denebola 182◦28.0 14◦27.3Gienah 175◦46.7 -17◦39.5Acrux 173◦03.8 -63◦13.0

Gacrux 171◦55.2 -57◦13.9Alioth 166◦16.0 55◦50.7Spica 158◦25.5 -11◦16.2Alcaid 152◦54.6 49◦12.6Hadar 148◦40.4 -60◦28.6

Menkent 148◦01.2 -36◦28.5Arcturus 145◦50.5 19◦04.7

Rigil Kent. 139◦44.5 -60◦55.5Zubenelg. 136◦59.3 -16◦07.7Kochab 137◦20.7 74◦04.2

Alphecca 126◦06.3 26◦38.8Antares 112◦19.3 -26◦28.7

Atria 107◦16.1 -69◦04.1Sabik 102◦06.0 -15◦45.0

Shaula 96◦14.1 -37◦07.2Rasalhague 96◦01.1 12◦32.9

Etamin 90◦43.5 51◦29.5Kaus Aust. 83◦36.1 -34◦22.5

Vega 80◦35.0 38◦48.5Nunki 75◦51.1 -26◦16.2Altair 62◦02.5 8◦55.6

Peacock 53◦09.7 -56◦40.1Deneb 49◦27.4 45◦21.7

Enif 33◦41.2 9◦58.6Alnair 27◦36.0 -46◦51.4

Fomalhaut 15◦17.2 -29◦30.4Scheat 13◦47.5 28◦12.1Markab 13◦32.3 15◦19.4

2021/9/2 SHA Mer.passVenus 136◦53.0 14:37Mars 173◦45.4 12:08

Jupiter 34◦02.7 21:24Saturn 50◦17.3 20:19

2021/9/2 SHA Mer.passVenus 135◦46.1 14:37Mars 173◦09.6 12:06

Jupiter 34◦07.0 21:20Saturn 50◦18.8 20:15

2021/9/2 SHA Mer.passVenus 134◦38.9 14:38Mars 172◦33.8 12:05

Jupiter 34◦11.2 21:16Saturn 50◦20.3 20:11

Horizontal paralaxVenus: 0.2Mars: 0.1

180

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2021 September 25 to Sep. 27

h Sun MoonSat GHA Dec GHA ν Dec d HP0 182◦03.7 -0◦51.2 318◦16.9 14.4 15◦49.2 10.8 54.51 197◦04.0 -0◦52.2 332◦50.2 14.3 15◦59.9 10.7 54.42 212◦04.2 -0◦53.2 347◦23.5 14.3 16◦10.6 10.6 54.43 227◦04.4 -0◦54.2 1◦56.8 14.3 16◦21.1 10.5 54.44 242◦04.6 -0◦55.1 16◦30.1 14.2 16◦31.6 10.5 54.45 257◦04.8 -0◦56.1 31◦03.3 14.2 16◦42.1 10.4 54.46 272◦05.0 -0◦57.1 45◦36.4 14.1 16◦52.4 10.3 54.47 287◦05.3 -0◦58.0 60◦09.5 14.1 17◦02.7 10.3 54.48 302◦05.5 -0◦59.0 74◦42.6 14.1 17◦12.9 10.2 54.49 317◦05.7 -0◦60.0 89◦15.7 14.0 17◦23.1 10.1 54.410 332◦05.9 -1◦01.0 103◦48.7 14.0 17◦33.2 10.0 54.411 347◦06.1 -1◦01.9 118◦21.6 13.9 17◦43.1 9.9 54.312 2◦06.3 -1◦02.9 132◦54.5 13.9 17◦53.0 9.9 54.313 17◦06.6 -1◦03.9 147◦27.4 13.9 18◦02.9 9.8 54.314 32◦06.8 -1◦04.9 162◦00.2 13.8 18◦12.6 9.7 54.315 47◦07.0 -1◦05.8 176◦33.0 13.8 18◦22.3 9.6 54.316 62◦07.2 -1◦06.8 191◦05.8 13.7 18◦31.9 9.6 54.317 77◦07.4 -1◦07.8 205◦38.5 13.7 18◦41.4 9.5 54.318 92◦07.6 -1◦08.8 220◦11.1 13.6 18◦50.8 9.4 54.319 107◦07.9 -1◦09.7 234◦43.7 13.6 19◦00.2 9.3 54.320 122◦08.1 -1◦10.7 249◦16.3 13.5 19◦09.5 9.2 54.321 137◦08.3 -1◦11.7 263◦48.8 13.5 19◦18.6 9.1 54.322 152◦08.5 -1◦12.6 278◦21.3 13.4 19◦27.7 9.1 54.323 167◦08.7 -1◦13.6 292◦53.7 13.4 19◦36.8 9.0 54.3

SD.=15.9 d=-1.0 S.D.=14.9

Sun GHA Dec GHA ν Dec d HP0 182◦08.9 -1◦14.6 307◦26.1 13.4 19◦45.7 8.9 54.31 197◦09.1 -1◦15.6 321◦58.4 13.3 19◦54.5 8.8 54.22 212◦09.4 -1◦16.5 336◦30.7 13.3 20◦03.3 8.7 54.23 227◦09.6 -1◦17.5 351◦02.9 13.2 20◦11.9 8.6 54.24 242◦09.8 -1◦18.5 5◦35.1 13.2 20◦20.5 8.5 54.25 257◦10.0 -1◦19.5 20◦07.3 13.1 20◦29.0 8.4 54.26 272◦10.2 -1◦20.4 34◦39.4 13.1 20◦37.4 8.4 54.27 287◦10.4 -1◦21.4 49◦11.4 13.0 20◦45.7 8.3 54.28 302◦10.7 -1◦22.4 63◦43.4 13.0 20◦53.9 8.2 54.29 317◦10.9 -1◦23.4 78◦15.3 12.9 21◦02.1 8.1 54.210 332◦11.1 -1◦24.3 92◦47.2 12.9 21◦10.1 8.0 54.211 347◦11.3 -1◦25.3 107◦19.1 12.8 21◦18.0 7.9 54.212 2◦11.5 -1◦26.3 121◦50.9 12.8 21◦25.9 7.8 54.213 17◦11.7 -1◦27.2 136◦22.6 12.7 21◦33.6 7.7 54.214 32◦11.9 -1◦28.2 150◦54.3 12.7 21◦41.3 7.6 54.215 47◦12.1 -1◦29.2 165◦26.0 12.6 21◦48.9 7.5 54.216 62◦12.4 -1◦30.2 179◦57.6 12.6 21◦56.3 7.4 54.217 77◦12.6 -1◦31.1 194◦29.2 12.5 22◦03.7 7.3 54.218 92◦12.8 -1◦32.1 209◦00.7 12.5 22◦11.0 7.2 54.219 107◦13.0 -1◦33.1 223◦32.1 12.4 22◦18.1 7.1 54.220 122◦13.2 -1◦34.1 238◦03.5 12.4 22◦25.2 7.0 54.221 137◦13.4 -1◦35.0 252◦34.9 12.3 22◦32.2 6.9 54.222 152◦13.6 -1◦36.0 267◦06.2 12.3 22◦39.1 6.8 54.223 167◦13.9 -1◦37.0 281◦37.4 12.2 22◦45.8 6.7 54.2

SD.=16.0 d=-1.0 S.D.=14.8

Mon GHA Dec GHA ν Dec d HP0 182◦14.1 -1◦38.0 296◦08.6 12.2 22◦52.5 6.6 54.21 197◦14.3 -1◦38.9 310◦39.8 12.1 22◦59.1 6.5 54.22 212◦14.5 -1◦39.9 325◦10.9 12.1 23◦05.5 6.4 54.23 227◦14.7 -1◦40.9 339◦41.9 12.0 23◦11.9 6.3 54.24 242◦14.9 -1◦41.8 354◦12.9 12.0 23◦18.2 6.2 54.25 257◦15.1 -1◦42.8 8◦43.9 11.9 23◦24.3 6.1 54.26 272◦15.3 -1◦43.8 23◦14.8 11.9 23◦30.4 6.0 54.27 287◦15.6 -1◦44.8 37◦45.7 11.8 23◦36.3 5.9 54.28 302◦15.8 -1◦45.7 52◦16.5 11.8 23◦42.2 5.8 54.29 317◦16.0 -1◦46.7 66◦47.2 11.7 23◦47.9 5.7 54.210 332◦16.2 -1◦47.7 81◦18.0 11.7 23◦53.5 5.6 54.211 347◦16.4 -1◦48.7 95◦48.6 11.6 23◦59.0 5.5 54.212 2◦16.6 -1◦49.6 110◦19.2 11.6 24◦04.4 5.4 54.213 17◦16.8 -1◦50.6 124◦49.8 11.5 24◦09.7 5.2 54.214 32◦17.0 -1◦51.6 139◦20.3 11.5 24◦14.9 5.1 54.215 47◦17.3 -1◦52.5 153◦50.8 11.5 24◦20.0 5.0 54.216 62◦17.5 -1◦53.5 168◦21.2 11.4 24◦25.0 4.9 54.217 77◦17.7 -1◦54.5 182◦51.6 11.4 24◦29.8 4.8 54.218 92◦17.9 -1◦55.5 197◦22.0 11.3 24◦34.6 4.7 54.219 107◦18.1 -1◦56.4 211◦52.3 11.3 24◦39.2 4.6 54.320 122◦18.3 -1◦57.4 226◦22.5 11.2 24◦43.7 4.5 54.321 137◦18.5 -1◦58.4 240◦52.7 11.2 24◦48.1 4.3 54.322 152◦18.7 -1◦59.4 255◦22.9 11.1 24◦52.4 4.2 54.323 167◦18.9 -2◦00.3 269◦53.0 11.1 24◦56.6 4.1 54.3

SD.=16.0 d=-1.0 S.D.=14.8

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 03:23 04:49 05:57 17:43 18:50 20:1570 03:39 04:55 05:56 17:44 18:45 19:6068 03:52 05:00 05:56 17:45 18:40 19:4866 04:02 05:04 05:55 17:46 18:36 19:3864 04:10 05:07 05:55 17:46 18:33 19:3062 04:17 05:10 05:54 17:47 18:31 19:2360 04:23 05:12 05:54 17:47 18:29 19:1858 04:28 05:14 05:54 17:48 18:27 19:1356 04:32 05:16 05:53 17:48 18:25 19:0954 04:36 05:18 05:53 17:48 18:24 19:0552 04:40 05:19 05:53 17:49 18:22 19:0250 04:42 05:20 05:53 17:49 18:21 18:5945 04:48 05:23 05:52 17:50 18:19 18:5340 04:53 05:24 05:51 17:50 18:17 18:4935 04:56 05:26 05:51 17:51 18:16 18:4530 04:59 05:27 05:51 17:51 18:15 18:4320 05:02 05:28 05:50 17:52 18:14 18:4010 05:04 05:28 05:49 17:53 18:14 18:390 05:03 05:27 05:48 17:54 18:15 18:39-10 05:02 05:26 05:47 17:56 18:17 18:41-20 04:58 05:24 05:46 17:57 18:19 18:45-30 04:53 05:21 05:44 17:59 18:22 18:50-35 04:49 05:18 05:44 17:60 18:25 18:54-40 04:44 05:15 05:43 18:01 18:28 18:60-45 04:37 05:12 05:41 18:02 18:31 19:06-50 04:29 05:07 05:40 18:04 18:36 19:15-52 04:25 05:05 05:39 18:04 18:38 19:19-54 04:21 05:03 05:38 18:05 18:41 19:23-56 04:16 05:00 05:37 18:06 18:44 19:29-58 04:10 04:57 05:37 18:07 18:47 19:35-60 04:03 04:54 05:35 18:08 18:50 19:41

Moonrise MoonsetLat. Sat Sun Mon Sat Sun Mon72 –:– –:– –:– –:– –:– –:–70 16:48 –:– –:– 13:24 –:– –:–68 17:31 16:24 –:– 12:42 15:25 –:–66 18:00 17:41 –:– 12:14 14:08 –:–64 18:23 18:19 18:14 11:52 13:32 15:1562 18:41 18:45 18:55 11:35 13:06 14:3560 18:56 19:06 19:24 11:21 12:45 14:0758 19:08 19:23 19:45 11:09 12:29 13:4556 19:19 19:37 20:03 10:59 12:15 13:2854 19:29 19:50 20:18 10:50 12:03 13:1352 19:38 20:01 20:32 10:42 11:52 13:0050 19:46 20:11 20:43 10:34 11:43 12:4945 20:02 20:32 21:07 10:19 11:23 12:2540 20:16 20:48 21:27 10:06 11:07 12:0635 20:28 21:03 21:43 09:55 10:53 11:5130 20:38 21:15 21:57 09:46 10:42 11:3720 20:56 21:36 22:21 09:30 10:22 11:1410 21:11 21:55 22:41 09:16 10:04 10:540 21:26 22:12 23:01 09:03 09:48 10:36-10 21:41 22:30 23:20 08:50 09:32 10:17-20 21:56 22:49 23:41 08:36 09:15 09:57-30 22:15 23:10 –:– 08:20 08:55 09:34-35 22:25 23:23 –:– 08:11 08:44 09:21-40 22:38 23:38 –:– 08:00 08:31 09:06-45 22:52 23:56 –:– 07:48 08:15 08:47-50 23:10 –:– 00:18 07:33 07:56 08:25-52 23:19 –:– 00:28 07:27 07:47 08:14-54 23:28 –:– 00:40 07:19 07:37 08:01-56 23:39 –:– 00:54 07:11 07:26 07:47-58 23:51 –:– 01:10 07:01 07:13 07:31-60 –:– 00:05 01:29 06:50 06:58 07:11

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower25 08:15 08:25 11:51 02:51 15:14 18(81%)26 08:36 08:46 11:51 03:36 16:00 19(74%)27 08:56 09:06 11:50 04:23 16:48 20(65%)

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September 28, 29 ,30 (Tue., Wed., Thu.)Aries Venus Mars Jupiter Saturn

Tue GHA GHA Dec GHA Dec GHA Dec GHA Dec0 6◦59.4 140◦31.0 -19◦31.3 178◦57.4 -2◦40.6 41◦14.5 -14◦58.0 57◦21.1 -19◦18.51 22◦01.8 155◦30.7 -19◦32.2 193◦58.3 -2◦41.3 56◦17.1 -14◦58.0 72◦23.6 -19◦18.52 37◦04.3 170◦30.3 -19◦33.1 208◦59.3 -2◦41.9 71◦19.7 -14◦58.1 87◦26.1 -19◦18.53 52◦06.8 185◦30.0 -19◦34.1 224◦00.3 -2◦42.6 86◦22.4 -14◦58.1 102◦28.6 -19◦18.54 67◦09.2 200◦29.7 -19◦35.0 239◦01.3 -2◦43.2 101◦25.0 -14◦58.2 117◦31.1 -19◦18.55 82◦11.7 215◦29.3 -19◦35.9 254◦02.2 -2◦43.9 116◦27.6 -14◦58.2 132◦33.6 -19◦18.56 97◦14.2 230◦29.0 -19◦36.8 269◦03.2 -2◦44.5 131◦30.2 -14◦58.3 147◦36.2 -19◦18.67 112◦16.6 245◦28.6 -19◦37.8 284◦04.2 -2◦45.2 146◦32.9 -14◦58.3 162◦38.7 -19◦18.68 127◦19.1 260◦28.3 -19◦38.7 299◦05.1 -2◦45.9 161◦35.5 -14◦58.4 177◦41.2 -19◦18.69 142◦21.5 275◦27.9 -19◦39.6 314◦06.1 -2◦46.5 176◦38.1 -14◦58.4 192◦43.7 -19◦18.610 157◦24.0 290◦27.6 -19◦40.5 329◦07.1 -2◦47.2 191◦40.7 -14◦58.5 207◦46.2 -19◦18.611 172◦26.5 305◦27.2 -19◦41.4 344◦08.0 -2◦47.8 206◦43.4 -14◦58.5 222◦48.8 -19◦18.612 187◦28.9 320◦26.9 -19◦42.4 359◦09.0 -2◦48.5 221◦46.0 -14◦58.6 237◦51.3 -19◦18.613 202◦31.4 335◦26.5 -19◦43.3 14◦10.0 -2◦49.2 236◦48.6 -14◦58.6 252◦53.8 -19◦18.714 217◦33.9 350◦26.2 -19◦44.2 29◦10.9 -2◦49.8 251◦51.2 -14◦58.7 267◦56.3 -19◦18.715 232◦36.3 5◦25.9 -19◦45.1 44◦11.9 -2◦50.5 266◦53.8 -14◦58.7 282◦58.8 -19◦18.716 247◦38.8 20◦25.5 -19◦46.0 59◦12.9 -2◦51.1 281◦56.5 -14◦58.8 298◦01.3 -19◦18.717 262◦41.3 35◦25.2 -19◦47.0 74◦13.9 -2◦51.8 296◦59.1 -14◦58.8 313◦03.9 -19◦18.718 277◦43.7 50◦24.8 -19◦47.9 89◦14.8 -2◦52.5 312◦01.7 -14◦58.9 328◦06.4 -19◦18.719 292◦46.2 65◦24.5 -19◦48.8 104◦15.8 -2◦53.1 327◦04.3 -14◦58.9 343◦08.9 -19◦18.720 307◦48.7 80◦24.1 -19◦49.7 119◦16.8 -2◦53.8 342◦06.9 -14◦59.0 358◦11.4 -19◦18.721 322◦51.1 95◦23.8 -19◦50.6 134◦17.7 -2◦54.4 357◦09.6 -14◦59.0 13◦13.9 -19◦18.822 337◦53.6 110◦23.4 -19◦51.5 149◦18.7 -2◦55.1 12◦12.2 -14◦59.1 28◦16.4 -19◦18.823 352◦56.0 125◦23.1 -19◦52.4 164◦19.7 -2◦55.7 27◦14.8 -14◦59.1 43◦19.0 -19◦18.8Mer.pass.:23:28 v-0.3 d-0.9 m-4.1 v1.0 d-0.7 m1.7 v2.6 d-0.1 m-2.6 v2.5 d-0.0 m0.5

Wed GHA GHA Dec GHA Dec GHA Dec GHA Dec0 7◦58.5 140◦22.7 -19◦53.4 179◦20.6 -2◦56.4 42◦17.4 -14◦59.2 58◦21.5 -19◦18.81 23◦01.0 155◦22.4 -19◦54.3 194◦21.6 -2◦57.1 57◦20.0 -14◦59.2 73◦24.0 -19◦18.82 38◦03.4 170◦22.0 -19◦55.2 209◦22.6 -2◦57.7 72◦22.7 -14◦59.3 88◦26.5 -19◦18.83 53◦05.9 185◦21.7 -19◦56.1 224◦23.5 -2◦58.4 87◦25.3 -14◦59.3 103◦29.0 -19◦18.84 68◦08.4 200◦21.3 -19◦57.0 239◦24.5 -2◦59.0 102◦27.9 -14◦59.4 118◦31.5 -19◦18.85 83◦10.8 215◦21.0 -19◦57.9 254◦25.5 -2◦59.7 117◦30.5 -14◦59.4 133◦34.0 -19◦18.96 98◦13.3 230◦20.6 -19◦58.8 269◦26.4 -3◦00.4 132◦33.1 -14◦59.5 148◦36.6 -19◦18.97 113◦15.8 245◦20.3 -19◦59.7 284◦27.4 -3◦01.0 147◦35.7 -14◦59.5 163◦39.1 -19◦18.98 128◦18.2 260◦19.9 -20◦00.6 299◦28.4 -3◦01.7 162◦38.4 -14◦59.6 178◦41.6 -19◦18.99 143◦20.7 275◦19.6 -20◦01.5 314◦29.3 -3◦02.3 177◦41.0 -14◦59.6 193◦44.1 -19◦18.910 158◦23.2 290◦19.2 -20◦02.4 329◦30.3 -3◦03.0 192◦43.6 -14◦59.6 208◦46.6 -19◦18.911 173◦25.6 305◦18.9 -20◦03.3 344◦31.3 -3◦03.7 207◦46.2 -14◦59.7 223◦49.1 -19◦18.912 188◦28.1 320◦18.5 -20◦04.2 359◦32.2 -3◦04.3 222◦48.8 -14◦59.7 238◦51.6 -19◦19.013 203◦30.5 335◦18.1 -20◦05.1 14◦33.2 -3◦05.0 237◦51.4 -14◦59.8 253◦54.2 -19◦19.014 218◦33.0 350◦17.8 -20◦06.0 29◦34.2 -3◦05.6 252◦54.1 -14◦59.8 268◦56.7 -19◦19.015 233◦35.5 5◦17.4 -20◦06.9 44◦35.1 -3◦06.3 267◦56.7 -14◦59.9 283◦59.2 -19◦19.016 248◦37.9 20◦17.1 -20◦07.8 59◦36.1 -3◦06.9 282◦59.3 -14◦59.9 299◦01.7 -19◦19.017 263◦40.4 35◦16.7 -20◦08.7 74◦37.1 -3◦07.6 298◦01.9 -14◦60.0 314◦04.2 -19◦19.018 278◦42.9 50◦16.4 -20◦09.6 89◦38.0 -3◦08.3 313◦04.5 -15◦00.0 329◦06.7 -19◦19.019 293◦45.3 65◦16.0 -20◦10.5 104◦39.0 -3◦08.9 328◦07.1 -15◦00.1 344◦09.2 -19◦19.020 308◦47.8 80◦15.7 -20◦11.4 119◦40.0 -3◦09.6 343◦09.7 -15◦00.1 359◦11.7 -19◦19.021 323◦50.3 95◦15.3 -20◦12.3 134◦40.9 -3◦10.2 358◦12.3 -15◦00.2 14◦14.3 -19◦19.122 338◦52.7 110◦15.0 -20◦13.2 149◦41.9 -3◦10.9 13◦15.0 -15◦00.2 29◦16.8 -19◦19.123 353◦55.2 125◦14.6 -20◦14.1 164◦42.9 -3◦11.6 28◦17.6 -15◦00.2 44◦19.3 -19◦19.1Mer.pass.:23:24 v-0.3 d-0.9 m-4.1 v1.0 d-0.7 m1.7 v2.6 d-0.0 m-2.6 v2.5 d-0.0 m0.5

Thu GHA GHA Dec GHA Dec GHA Dec GHA Dec0 8◦57.6 140◦14.2 -20◦15.0 179◦43.8 -3◦12.2 43◦20.2 -15◦00.3 59◦21.8 -19◦19.11 24◦00.1 155◦13.9 -20◦15.9 194◦44.8 -3◦12.9 58◦22.8 -15◦00.3 74◦24.3 -19◦19.12 39◦02.6 170◦13.5 -20◦16.8 209◦45.8 -3◦13.5 73◦25.4 -15◦00.4 89◦26.8 -19◦19.13 54◦05.0 185◦13.2 -20◦17.7 224◦46.7 -3◦14.2 88◦28.0 -15◦00.4 104◦29.3 -19◦19.14 69◦07.5 200◦12.8 -20◦18.6 239◦47.7 -3◦14.8 103◦30.6 -15◦00.5 119◦31.8 -19◦19.15 84◦10.0 215◦12.5 -20◦19.4 254◦48.7 -3◦15.5 118◦33.2 -15◦00.5 134◦34.3 -19◦19.26 99◦12.4 230◦12.1 -20◦20.3 269◦49.6 -3◦16.2 133◦35.8 -15◦00.6 149◦36.9 -19◦19.27 114◦14.9 245◦11.7 -20◦21.2 284◦50.6 -3◦16.8 148◦38.4 -15◦00.6 164◦39.4 -19◦19.28 129◦17.4 260◦11.4 -20◦22.1 299◦51.6 -3◦17.5 163◦41.1 -15◦00.6 179◦41.9 -19◦19.29 144◦19.8 275◦11.0 -20◦23.0 314◦52.5 -3◦18.1 178◦43.7 -15◦00.7 194◦44.4 -19◦19.210 159◦22.3 290◦10.7 -20◦23.9 329◦53.5 -3◦18.8 193◦46.3 -15◦00.7 209◦46.9 -19◦19.211 174◦24.8 305◦10.3 -20◦24.8 344◦54.5 -3◦19.5 208◦48.9 -15◦00.8 224◦49.4 -19◦19.212 189◦27.2 320◦09.9 -20◦25.6 359◦55.4 -3◦20.1 223◦51.5 -15◦00.8 239◦51.9 -19◦19.213 204◦29.7 335◦09.6 -20◦26.5 14◦56.4 -3◦20.8 238◦54.1 -15◦00.9 254◦54.4 -19◦19.214 219◦32.1 350◦09.2 -20◦27.4 29◦57.4 -3◦21.4 253◦56.7 -15◦00.9 269◦56.9 -19◦19.315 234◦34.6 5◦08.9 -20◦28.3 44◦58.3 -3◦22.1 268◦59.3 -15◦01.0 284◦59.4 -19◦19.316 249◦37.1 20◦08.5 -20◦29.2 59◦59.3 -3◦22.7 284◦01.9 -15◦01.0 300◦02.0 -19◦19.317 264◦39.5 35◦08.1 -20◦30.1 75◦00.2 -3◦23.4 299◦04.5 -15◦01.0 315◦04.5 -19◦19.318 279◦42.0 50◦07.8 -20◦30.9 90◦01.2 -3◦24.1 314◦07.1 -15◦01.1 330◦07.0 -19◦19.319 294◦44.5 65◦07.4 -20◦31.8 105◦02.2 -3◦24.7 329◦09.7 -15◦01.1 345◦09.5 -19◦19.320 309◦46.9 80◦07.1 -20◦32.7 120◦03.1 -3◦25.4 344◦12.3 -15◦01.2 0◦12.0 -19◦19.321 324◦49.4 95◦06.7 -20◦33.6 135◦04.1 -3◦26.0 359◦14.9 -15◦01.2 15◦14.5 -19◦19.322 339◦51.9 110◦06.3 -20◦34.4 150◦05.1 -3◦26.7 14◦17.5 -15◦01.3 30◦17.0 -19◦19.323 354◦54.3 125◦06.0 -20◦35.3 165◦06.0 -3◦27.4 29◦20.2 -15◦01.3 45◦19.5 -19◦19.4Mer.pass.:23:20 v-0.4 d-0.9 m-4.1 v1.0 d-0.7 m1.7 v2.6 d-0.0 m-2.6 v2.5 d-0.0 m0.5

StarsSHA Dec

Alpheratz 357◦37.2 29◦12.7Ankaa 353◦09.4 -42◦11.3

Schedar 349◦33.5 56◦39.4Diphda 348◦49.6 -17◦52.0

Achernar 335◦21.7 -57◦07.5Hamal 327◦53.9 23◦33.9Polaris 314◦55.3 89◦21.1Akamar 315◦13.5 -40◦12.9Menkar 314◦08.7 4◦10.5Mirfak 308◦31.7 49◦56.1

Aldebaran 290◦42.6 16◦33.2Rigel 281◦06.4 -8◦10.5

Capella 280◦25.7 46◦01.1Bellatrix 278◦25.7 6◦22.2Elnath 278◦05.2 28◦37.5Alnilam 275◦40.4 -1◦11.2

Betelgeuse 270◦55.0 7◦24.7Canopus 263◦53.6 -52◦42.1

Sirius 258◦28.5 -16◦44.3Adara 255◦08.0 -28◦59.8

Procyon 244◦53.7 5◦10.4Pollux 243◦20.6 27◦58.4Avior 234◦16.1 -59◦34.4Suhail 222◦48.5 -43◦30.9

Miaplacidus 221◦39.4 -69◦48.0Alphard 217◦50.6 -8◦44.9Regulus 207◦37.5 11◦51.8Dubhe 193◦45.0 61◦38.1

Denebola 182◦28.0 14◦27.3Gienah 175◦46.7 -17◦39.5Acrux 173◦03.7 -63◦13.0

Gacrux 171◦55.2 -57◦13.9Alioth 166◦16.0 55◦50.7Spica 158◦25.4 -11◦16.2Alcaid 152◦54.6 49◦12.5Hadar 148◦40.4 -60◦28.6

Menkent 148◦01.2 -36◦28.5Arcturus 145◦50.5 19◦04.7

Rigil Kent. 139◦44.5 -60◦55.5Zubenelg. 136◦59.3 -16◦07.7Kochab 137◦20.8 74◦04.2

Alphecca 126◦06.3 26◦38.8Antares 112◦19.3 -26◦28.7

Atria 107◦16.2 -69◦04.1Sabik 102◦06.0 -15◦45.0

Shaula 96◦14.1 -37◦07.2Rasalhague 96◦01.2 12◦32.9

Etamin 90◦43.5 51◦29.5Kaus Aust. 83◦36.1 -34◦22.5

Vega 80◦35.1 38◦48.5Nunki 75◦51.1 -26◦16.2Altair 62◦02.5 8◦55.6

Peacock 53◦09.7 -56◦40.1Deneb 49◦27.4 45◦21.7

Enif 33◦41.2 9◦58.6Alnair 27◦36.0 -46◦51.4

Fomalhaut 15◦17.2 -29◦30.4Scheat 13◦47.5 28◦12.1Markab 13◦32.3 15◦19.4

2021/9/2 SHA Mer.passVenus 133◦31.7 14:38Mars 171◦58.0 12:03

Jupiter 34◦15.1 21:11Saturn 50◦21.7 20:07

2021/9/2 SHA Mer.passVenus 132◦24.2 14:39Mars 171◦22.1 12:02

Jupiter 34◦18.9 21:07Saturn 50◦23.0 20:03

2021/9/3 SHA Mer.passVenus 131◦16.6 14:39Mars 170◦46.2 12:00

Jupiter 34◦22.5 21:03Saturn 50◦24.1 19:59

Horizontal paralaxVenus: 0.2Mars: 0.1

182

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2021 September 28 to Sep. 30

h Sun MoonTue GHA Dec GHA ν Dec d HP0 182◦19.1 -2◦01.3 284◦23.1 11.0 25◦00.6 4.0 54.31 197◦19.4 -2◦02.3 298◦53.1 11.0 25◦04.6 3.9 54.32 212◦19.6 -2◦03.2 313◦23.1 11.0 25◦08.4 3.8 54.33 227◦19.8 -2◦04.2 327◦53.0 10.9 25◦12.1 3.6 54.34 242◦20.0 -2◦05.2 342◦22.9 10.9 25◦15.7 3.5 54.35 257◦20.2 -2◦06.2 356◦52.8 10.8 25◦19.1 3.4 54.36 272◦20.4 -2◦07.1 11◦22.6 10.8 25◦22.5 3.3 54.37 287◦20.6 -2◦08.1 25◦52.4 10.8 25◦25.7 3.2 54.38 302◦20.8 -2◦09.1 40◦22.1 10.7 25◦28.8 3.1 54.49 317◦21.0 -2◦10.0 54◦51.8 10.7 25◦31.8 2.9 54.410 332◦21.2 -2◦11.0 69◦21.5 10.6 25◦34.7 2.8 54.411 347◦21.5 -2◦12.0 83◦51.1 10.6 25◦37.5 2.7 54.412 2◦21.7 -2◦13.0 98◦20.7 10.6 25◦40.1 2.6 54.413 17◦21.9 -2◦13.9 112◦50.2 10.5 25◦42.6 2.4 54.414 32◦22.1 -2◦14.9 127◦19.7 10.5 25◦45.0 2.3 54.415 47◦22.3 -2◦15.9 141◦49.2 10.5 25◦47.3 2.2 54.416 62◦22.5 -2◦16.9 156◦18.7 10.4 25◦49.4 2.1 54.417 77◦22.7 -2◦17.8 170◦48.1 10.4 25◦51.4 2.0 54.518 92◦22.9 -2◦18.8 185◦17.5 10.4 25◦53.3 1.8 54.519 107◦23.1 -2◦19.8 199◦46.8 10.3 25◦55.1 1.7 54.520 122◦23.3 -2◦20.7 214◦16.1 10.3 25◦56.7 1.6 54.521 137◦23.5 -2◦21.7 228◦45.4 10.3 25◦58.2 1.5 54.522 152◦23.8 -2◦22.7 243◦14.6 10.2 25◦59.6 1.3 54.523 167◦24.0 -2◦23.7 257◦43.9 10.2 26◦00.9 1.2 54.5

SD.=16.0 d=-1.0 S.D.=14.8

Wed GHA Dec GHA ν Dec d HP0 182◦24.2 -2◦24.6 272◦13.1 10.2 26◦02.1 1.1 54.61 197◦24.4 -2◦25.6 286◦42.2 10.2 26◦03.1 1.0 54.62 212◦24.6 -2◦26.6 301◦11.4 10.1 26◦04.0 0.8 54.63 227◦24.8 -2◦27.5 315◦40.5 10.1 26◦04.7 0.7 54.64 242◦25.0 -2◦28.5 330◦09.6 10.1 26◦05.4 0.6 54.65 257◦25.2 -2◦29.5 344◦38.6 10.0 26◦05.9 0.4 54.66 272◦25.4 -2◦30.5 359◦07.7 10.0 26◦06.2 0.3 54.67 287◦25.6 -2◦31.4 13◦36.7 10.0 26◦06.5 0.2 54.78 302◦25.8 -2◦32.4 28◦05.7 10.0 26◦06.6 0.1 54.79 317◦26.0 -2◦33.4 42◦34.6 10.0 26◦06.6 -0.1 54.710 332◦26.2 -2◦34.3 57◦03.6 9.9 26◦06.5 -0.2 54.711 347◦26.4 -2◦35.3 71◦32.5 9.9 26◦06.2 -0.3 54.712 2◦26.7 -2◦36.3 86◦01.4 9.9 26◦05.8 -0.5 54.813 17◦26.9 -2◦37.3 100◦30.3 9.9 26◦05.3 -0.6 54.814 32◦27.1 -2◦38.2 114◦59.2 9.9 26◦04.6 -0.7 54.815 47◦27.3 -2◦39.2 129◦28.0 9.8 26◦03.8 -0.9 54.816 62◦27.5 -2◦40.2 143◦56.9 9.8 26◦02.9 -1.0 54.817 77◦27.7 -2◦41.1 158◦25.7 9.8 26◦01.9 -1.1 54.818 92◦27.9 -2◦42.1 172◦54.5 9.8 26◦00.7 -1.2 54.919 107◦28.1 -2◦43.1 187◦23.3 9.8 25◦59.4 -1.4 54.920 122◦28.3 -2◦44.1 201◦52.1 9.8 25◦58.0 -1.5 54.921 137◦28.5 -2◦45.0 216◦20.8 9.8 25◦56.4 -1.6 54.922 152◦28.7 -2◦46.0 230◦49.6 9.8 25◦54.7 -1.8 55.023 167◦28.9 -2◦47.0 245◦18.4 9.7 25◦52.8 -1.9 55.0

SD.=16.0 d=-1.0 S.D.=14.9

Thu GHA Dec GHA ν Dec d HP0 182◦29.1 -2◦47.9 259◦47.1 9.7 25◦50.9 -2.0 55.01 197◦29.3 -2◦48.9 274◦15.8 9.7 25◦48.8 -2.2 55.02 212◦29.5 -2◦49.9 288◦44.6 9.7 25◦46.6 -2.3 55.03 227◦29.7 -2◦50.8 303◦13.3 9.7 25◦44.2 -2.4 55.14 242◦29.9 -2◦51.8 317◦42.0 9.7 25◦41.7 -2.6 55.15 257◦30.1 -2◦52.8 332◦10.7 9.7 25◦39.1 -2.7 55.16 272◦30.4 -2◦53.8 346◦39.4 9.7 25◦36.3 -2.8 55.17 287◦30.6 -2◦54.7 1◦08.1 9.7 25◦33.4 -3.0 55.28 302◦30.8 -2◦55.7 15◦36.8 9.7 25◦30.4 -3.1 55.29 317◦31.0 -2◦56.7 30◦05.5 9.7 25◦27.3 -3.2 55.210 332◦31.2 -2◦57.6 44◦34.2 9.7 25◦24.0 -3.3 55.211 347◦31.4 -2◦58.6 59◦02.9 9.7 25◦20.6 -3.5 55.212 2◦31.6 -2◦59.6 73◦31.6 9.7 25◦17.0 -3.6 55.313 17◦31.8 -3◦00.6 88◦00.3 9.7 25◦13.4 -3.7 55.314 32◦32.0 -3◦01.5 102◦29.0 9.7 25◦09.6 -3.9 55.315 47◦32.2 -3◦02.5 116◦57.7 9.7 25◦05.6 -4.0 55.316 62◦32.4 -3◦03.5 131◦26.4 9.7 25◦01.5 -4.1 55.417 77◦32.6 -3◦04.4 145◦55.1 9.7 24◦57.3 -4.3 55.418 92◦32.8 -3◦05.4 160◦23.9 9.7 24◦53.0 -4.4 55.419 107◦33.0 -3◦06.4 174◦52.6 9.7 24◦48.5 -4.5 55.520 122◦33.2 -3◦07.3 189◦21.3 9.7 24◦43.9 -4.7 55.521 137◦33.4 -3◦08.3 203◦50.1 9.7 24◦39.2 -4.8 55.522 152◦33.6 -3◦09.3 218◦18.8 9.8 24◦34.4 -4.9 55.523 167◦33.8 -3◦10.3 232◦47.6 9.8 24◦29.4 -5.1 55.6

SD.=16.0 d=-1.0 S.D.=15.0

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 03:39 05:03 06:10 17:28 18:35 19:5770 03:53 05:07 06:08 17:30 18:31 19:4468 04:04 05:11 06:06 17:32 18:27 19:3466 04:12 05:14 06:05 17:34 18:25 19:2664 04:20 05:16 06:03 17:36 18:23 19:1962 04:26 05:18 06:02 17:37 18:21 19:1360 04:31 05:20 06:01 17:38 18:19 19:0858 04:35 05:21 06:00 17:39 18:18 19:0456 04:39 05:22 05:59 17:40 18:17 19:0054 04:42 05:23 05:58 17:41 18:16 18:5752 04:45 05:24 05:58 17:42 18:15 18:5550 04:47 05:25 05:57 17:42 18:15 18:5245 04:52 05:26 05:56 17:44 18:13 18:4740 04:56 05:27 05:54 17:45 18:12 18:4435 04:59 05:28 05:53 17:47 18:12 18:4130 05:01 05:28 05:52 17:48 18:12 18:3920 05:03 05:28 05:50 17:50 18:12 18:3710 05:03 05:28 05:49 17:52 18:13 18:370 05:02 05:26 05:47 17:53 18:14 18:38-10 04:60 05:24 05:45 17:55 18:16 18:41-20 04:55 05:21 05:43 17:58 18:20 18:45-30 04:49 05:17 05:41 18:00 18:24 18:52-35 04:44 05:14 05:39 18:02 18:27 18:57-40 04:39 05:10 05:38 18:04 18:31 19:03-45 04:31 05:06 05:36 18:06 18:35 19:10-50 04:22 05:01 05:33 18:08 18:41 19:20-52 04:18 04:58 05:32 18:09 18:43 19:24-54 04:13 04:55 05:31 18:11 18:46 19:29-56 04:07 04:52 05:30 18:12 18:50 19:35-58 04:00 04:48 05:28 18:14 18:54 19:42-60 03:53 04:44 05:26 18:16 18:58 19:50

Moonrise MoonsetLat. Tue Wed Thu Tue Wed Thu72 –:– –:– –:– –:– –:– –:–70 –:– –:– –:– –:– –:– –:–68 –:– –:– –:– –:– –:– –:–66 –:– –:– –:– –:– –:– –:–64 18:09 18:52 20:46 17:04 18:09 18:0362 19:19 20:10 21:30 15:55 16:51 17:1960 19:55 20:46 21:59 15:19 16:14 16:4958 20:20 21:12 22:21 14:54 15:48 16:2756 20:41 21:32 22:39 14:34 15:28 16:0954 20:57 21:49 22:54 14:17 15:11 15:5352 21:12 22:04 23:07 14:02 14:56 15:4050 21:25 22:17 23:19 13:50 14:43 15:2845 21:51 22:43 23:43 13:24 14:17 15:0340 22:11 23:03 –:– 13:04 13:56 14:4435 22:29 23:21 –:– 12:46 13:39 14:2730 22:44 23:36 –:– 12:32 13:24 14:1320 23:09 –:– 00:01 12:07 12:59 13:4910 23:31 –:– 00:23 11:45 12:37 13:280 23:51 –:– 00:43 11:25 12:16 13:08-10 –:– 00:12 01:03 11:05 11:55 12:48-20 –:– 00:34 01:25 10:43 11:33 12:27-30 00:06 00:59 01:50 10:18 11:08 12:02-35 00:20 01:14 02:05 10:04 10:53 11:48-40 00:37 01:32 02:22 09:47 10:35 11:31-45 00:57 01:53 02:43 09:27 10:14 11:10-50 01:22 02:19 03:08 09:01 09:48 10:45-52 01:34 02:32 03:21 08:49 09:35 10:32-54 01:48 02:47 03:35 08:35 09:20 10:18-56 02:04 03:05 03:52 08:18 09:02 10:02-58 02:23 03:26 04:12 07:59 08:41 09:42-60 02:48 03:53 04:37 07:34 08:14 09:17

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower28 09:16 09:27 11:50 05:12 17:38 21(56%)29 09:37 09:46 11:50 06:03 18:29 22(46%)30 09:56 10:06 11:49 06:55 19:21 23(37%)

183

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October 01, 02 ,03 (Fri., Sat., Sun.)Aries Venus Mars Jupiter Saturn

Fri GHA GHA Dec GHA Dec GHA Dec GHA Dec0 9◦56.8 140◦05.6 -20◦36.2 180◦07.0 -3◦28.0 44◦22.8 -15◦01.3 60◦22.0 -19◦19.41 24◦59.3 155◦05.3 -20◦37.1 195◦08.0 -3◦28.7 59◦25.4 -15◦01.4 75◦24.5 -19◦19.42 40◦01.7 170◦04.9 -20◦37.9 210◦08.9 -3◦29.3 74◦28.0 -15◦01.4 90◦27.0 -19◦19.43 55◦04.2 185◦04.5 -20◦38.8 225◦09.9 -3◦30.0 89◦30.6 -15◦01.5 105◦29.5 -19◦19.44 70◦06.6 200◦04.2 -20◦39.7 240◦10.9 -3◦30.6 104◦33.2 -15◦01.5 120◦32.0 -19◦19.45 85◦09.1 215◦03.8 -20◦40.5 255◦11.8 -3◦31.3 119◦35.8 -15◦01.6 135◦34.5 -19◦19.46 100◦11.6 230◦03.4 -20◦41.4 270◦12.8 -3◦32.0 134◦38.4 -15◦01.6 150◦37.1 -19◦19.47 115◦14.0 245◦03.1 -20◦42.3 285◦13.7 -3◦32.6 149◦41.0 -15◦01.6 165◦39.6 -19◦19.48 130◦16.5 260◦02.7 -20◦43.1 300◦14.7 -3◦33.3 164◦43.6 -15◦01.7 180◦42.1 -19◦19.59 145◦19.0 275◦02.3 -20◦44.0 315◦15.7 -3◦33.9 179◦46.2 -15◦01.7 195◦44.6 -19◦19.510 160◦21.4 290◦02.0 -20◦44.9 330◦16.6 -3◦34.6 194◦48.8 -15◦01.8 210◦47.1 -19◦19.511 175◦23.9 305◦01.6 -20◦45.7 345◦17.6 -3◦35.2 209◦51.4 -15◦01.8 225◦49.6 -19◦19.512 190◦26.4 320◦01.2 -20◦46.6 0◦18.6 -3◦35.9 224◦54.0 -15◦01.8 240◦52.1 -19◦19.513 205◦28.8 335◦00.9 -20◦47.5 15◦19.5 -3◦36.6 239◦56.6 -15◦01.9 255◦54.6 -19◦19.514 220◦31.3 350◦00.5 -20◦48.3 30◦20.5 -3◦37.2 254◦59.2 -15◦01.9 270◦57.1 -19◦19.515 235◦33.8 5◦00.1 -20◦49.2 45◦21.4 -3◦37.9 270◦01.8 -15◦02.0 285◦59.6 -19◦19.516 250◦36.2 19◦59.8 -20◦50.1 60◦22.4 -3◦38.5 285◦04.4 -15◦02.0 301◦02.1 -19◦19.517 265◦38.7 34◦59.4 -20◦50.9 75◦23.4 -3◦39.2 300◦07.0 -15◦02.1 316◦04.6 -19◦19.518 280◦41.1 49◦59.0 -20◦51.8 90◦24.3 -3◦39.8 315◦09.6 -15◦02.1 331◦07.1 -19◦19.619 295◦43.6 64◦58.7 -20◦52.6 105◦25.3 -3◦40.5 330◦12.2 -15◦02.1 346◦09.6 -19◦19.620 310◦46.1 79◦58.3 -20◦53.5 120◦26.3 -3◦41.2 345◦14.8 -15◦02.2 1◦12.1 -19◦19.621 325◦48.5 94◦57.9 -20◦54.3 135◦27.2 -3◦41.8 0◦17.4 -15◦02.2 16◦14.6 -19◦19.622 340◦51.0 109◦57.6 -20◦55.2 150◦28.2 -3◦42.5 15◦20.0 -15◦02.3 31◦17.1 -19◦19.623 355◦53.5 124◦57.2 -20◦56.1 165◦29.1 -3◦43.1 30◦22.6 -15◦02.3 46◦19.6 -19◦19.6Mer.pass.:23:16 v-0.4 d-0.9 m-4.1 v1.0 d-0.7 m1.7 v2.6 d-0.0 m-2.6 v2.5 d-0.0 m0.5

Sat GHA GHA Dec GHA Dec GHA Dec GHA Dec0 10◦55.9 139◦56.8 -20◦56.9 180◦30.1 -3◦43.8 45◦25.2 -15◦02.3 61◦22.1 -19◦19.61 25◦58.4 154◦56.5 -20◦57.8 195◦31.1 -3◦44.4 60◦27.7 -15◦02.4 76◦24.6 -19◦19.62 41◦00.9 169◦56.1 -20◦58.6 210◦32.0 -3◦45.1 75◦30.3 -15◦02.4 91◦27.1 -19◦19.63 56◦03.3 184◦55.7 -20◦59.5 225◦33.0 -3◦45.8 90◦32.9 -15◦02.5 106◦29.6 -19◦19.64 71◦05.8 199◦55.4 -21◦00.3 240◦34.0 -3◦46.4 105◦35.5 -15◦02.5 121◦32.1 -19◦19.75 86◦08.2 214◦55.0 -21◦01.2 255◦34.9 -3◦47.1 120◦38.1 -15◦02.5 136◦34.6 -19◦19.76 101◦10.7 229◦54.6 -21◦02.0 270◦35.9 -3◦47.7 135◦40.7 -15◦02.6 151◦37.2 -19◦19.77 116◦13.2 244◦54.2 -21◦02.9 285◦36.8 -3◦48.4 150◦43.3 -15◦02.6 166◦39.7 -19◦19.78 131◦15.6 259◦53.9 -21◦03.7 300◦37.8 -3◦49.0 165◦45.9 -15◦02.7 181◦42.2 -19◦19.79 146◦18.1 274◦53.5 -21◦04.6 315◦38.8 -3◦49.7 180◦48.5 -15◦02.7 196◦44.7 -19◦19.710 161◦20.6 289◦53.1 -21◦05.4 330◦39.7 -3◦50.4 195◦51.1 -15◦02.7 211◦47.2 -19◦19.711 176◦23.0 304◦52.8 -21◦06.3 345◦40.7 -3◦51.0 210◦53.7 -15◦02.8 226◦49.7 -19◦19.712 191◦25.5 319◦52.4 -21◦07.1 0◦41.6 -3◦51.7 225◦56.3 -15◦02.8 241◦52.2 -19◦19.713 206◦28.0 334◦52.0 -21◦07.9 15◦42.6 -3◦52.3 240◦58.9 -15◦02.8 256◦54.7 -19◦19.714 221◦30.4 349◦51.6 -21◦08.8 30◦43.6 -3◦53.0 256◦01.5 -15◦02.9 271◦57.2 -19◦19.715 236◦32.9 4◦51.3 -21◦09.6 45◦44.5 -3◦53.6 271◦04.1 -15◦02.9 286◦59.7 -19◦19.816 251◦35.4 19◦50.9 -21◦10.5 60◦45.5 -3◦54.3 286◦06.7 -15◦03.0 302◦02.2 -19◦19.817 266◦37.8 34◦50.5 -21◦11.3 75◦46.4 -3◦55.0 301◦09.2 -15◦03.0 317◦04.7 -19◦19.818 281◦40.3 49◦50.2 -21◦12.1 90◦47.4 -3◦55.6 316◦11.8 -15◦03.0 332◦07.2 -19◦19.819 296◦42.7 64◦49.8 -21◦13.0 105◦48.4 -3◦56.3 331◦14.4 -15◦03.1 347◦09.7 -19◦19.820 311◦45.2 79◦49.4 -21◦13.8 120◦49.3 -3◦56.9 346◦17.0 -15◦03.1 2◦12.2 -19◦19.821 326◦47.7 94◦49.0 -21◦14.7 135◦50.3 -3◦57.6 1◦19.6 -15◦03.2 17◦14.7 -19◦19.822 341◦50.1 109◦48.7 -21◦15.5 150◦51.2 -3◦58.2 16◦22.2 -15◦03.2 32◦17.2 -19◦19.823 356◦52.6 124◦48.3 -21◦16.3 165◦52.2 -3◦58.9 31◦24.8 -15◦03.2 47◦19.7 -19◦19.8Mer.pass.:23:12 v-0.4 d-0.9 m-4.1 v1.0 d-0.7 m1.7 v2.6 d-0.0 m-2.6 v2.5 d-0.0 m0.5

Sun GHA GHA Dec GHA Dec GHA Dec GHA Dec0 11◦55.1 139◦47.9 -21◦17.2 180◦53.2 -3◦59.6 46◦27.4 -15◦03.3 62◦22.2 -19◦19.81 26◦57.5 154◦47.5 -21◦18.0 195◦54.1 -4◦00.2 61◦30.0 -15◦03.3 77◦24.7 -19◦19.82 41◦60.0 169◦47.2 -21◦18.8 210◦55.1 -4◦00.9 76◦32.5 -15◦03.3 92◦27.2 -19◦19.93 57◦02.5 184◦46.8 -21◦19.7 225◦56.0 -4◦01.5 91◦35.1 -15◦03.4 107◦29.7 -19◦19.94 72◦04.9 199◦46.4 -21◦20.5 240◦57.0 -4◦02.2 106◦37.7 -15◦03.4 122◦32.2 -19◦19.95 87◦07.4 214◦46.0 -21◦21.3 255◦58.0 -4◦02.8 121◦40.3 -15◦03.4 137◦34.7 -19◦19.96 102◦09.9 229◦45.7 -21◦22.2 270◦58.9 -4◦03.5 136◦42.9 -15◦03.5 152◦37.1 -19◦19.97 117◦12.3 244◦45.3 -21◦23.0 285◦59.9 -4◦04.2 151◦45.5 -15◦03.5 167◦39.6 -19◦19.98 132◦14.8 259◦44.9 -21◦23.8 301◦00.8 -4◦04.8 166◦48.1 -15◦03.6 182◦42.1 -19◦19.99 147◦17.2 274◦44.5 -21◦24.6 316◦01.8 -4◦05.5 181◦50.7 -15◦03.6 197◦44.6 -19◦19.910 162◦19.7 289◦44.1 -21◦25.5 331◦02.7 -4◦06.1 196◦53.2 -15◦03.6 212◦47.1 -19◦19.911 177◦22.2 304◦43.8 -21◦26.3 346◦03.7 -4◦06.8 211◦55.8 -15◦03.7 227◦49.6 -19◦19.912 192◦24.6 319◦43.4 -21◦27.1 1◦04.7 -4◦07.4 226◦58.4 -15◦03.7 242◦52.1 -19◦19.913 207◦27.1 334◦43.0 -21◦27.9 16◦05.6 -4◦08.1 242◦01.0 -15◦03.7 257◦54.6 -19◦19.914 222◦29.6 349◦42.6 -21◦28.8 31◦06.6 -4◦08.7 257◦03.6 -15◦03.8 272◦57.1 -19◦20.015 237◦32.0 4◦42.3 -21◦29.6 46◦07.5 -4◦09.4 272◦06.2 -15◦03.8 287◦59.6 -19◦20.016 252◦34.5 19◦41.9 -21◦30.4 61◦08.5 -4◦10.1 287◦08.7 -15◦03.8 303◦02.1 -19◦20.017 267◦37.0 34◦41.5 -21◦31.2 76◦09.5 -4◦10.7 302◦11.3 -15◦03.9 318◦04.6 -19◦20.018 282◦39.4 49◦41.1 -21◦32.0 91◦10.4 -4◦11.4 317◦13.9 -15◦03.9 333◦07.1 -19◦20.019 297◦41.9 64◦40.7 -21◦32.9 106◦11.4 -4◦12.0 332◦16.5 -15◦04.0 348◦09.6 -19◦20.020 312◦44.3 79◦40.4 -21◦33.7 121◦12.3 -4◦12.7 347◦19.1 -15◦04.0 3◦12.1 -19◦20.021 327◦46.8 94◦40.0 -21◦34.5 136◦13.3 -4◦13.3 2◦21.7 -15◦04.0 18◦14.6 -19◦20.022 342◦49.3 109◦39.6 -21◦35.3 151◦14.2 -4◦14.0 17◦24.2 -15◦04.1 33◦17.1 -19◦20.023 357◦51.7 124◦39.2 -21◦36.1 166◦15.2 -4◦14.7 32◦26.8 -15◦04.1 48◦19.6 -19◦20.0Mer.pass.:23:08 v-0.4 d-0.8 m-4.1 v1.0 d-0.7 m1.6 v2.6 d-0.0 m-2.5 v2.5 d-0.0 m0.5

StarsSHA Dec

Alpheratz 357◦37.2 29◦12.7Ankaa 353◦09.4 -42◦11.3

Schedar 349◦33.5 56◦39.4Diphda 348◦49.6 -17◦52.0

Achernar 335◦21.7 -57◦07.5Hamal 327◦53.9 23◦33.9Polaris 314◦54.2 89◦21.1Akamar 315◦13.5 -40◦12.9Menkar 314◦08.7 4◦10.5Mirfak 308◦31.7 49◦56.1

Aldebaran 290◦42.5 16◦33.2Rigel 281◦06.3 -8◦10.5

Capella 280◦25.7 46◦01.1Bellatrix 278◦25.6 6◦22.2Elnath 278◦05.2 28◦37.5Alnilam 275◦40.4 -1◦11.2

Betelgeuse 270◦54.9 7◦24.7Canopus 263◦53.5 -52◦42.1

Sirius 258◦28.5 -16◦44.4Adara 255◦08.0 -28◦59.8

Procyon 244◦53.6 5◦10.4Pollux 243◦20.6 27◦58.4Avior 234◦16.1 -59◦34.4Suhail 222◦48.5 -43◦30.9

Miaplacidus 221◦39.3 -69◦48.0Alphard 217◦50.6 -8◦44.9Regulus 207◦37.5 11◦51.8Dubhe 193◦44.9 61◦38.1

Denebola 182◦27.9 14◦27.3Gienah 175◦46.6 -17◦39.5Acrux 173◦03.7 -63◦13.0

Gacrux 171◦55.2 -57◦13.9Alioth 166◦16.0 55◦50.7Spica 158◦25.4 -11◦16.3Alcaid 152◦54.6 49◦12.5Hadar 148◦40.4 -60◦28.6

Menkent 148◦01.2 -36◦28.5Arcturus 145◦50.5 19◦04.7

Rigil Kent. 139◦44.5 -60◦55.5Zubenelg. 136◦59.3 -16◦07.7Kochab 137◦20.8 74◦04.2

Alphecca 126◦06.3 26◦38.8Antares 112◦19.3 -26◦28.7

Atria 107◦16.2 -69◦04.1Sabik 102◦06.0 -15◦45.0

Shaula 96◦14.1 -37◦07.2Rasalhague 96◦01.2 12◦32.9

Etamin 90◦43.5 51◦29.5Kaus Aust. 83◦36.1 -34◦22.5

Vega 80◦35.1 38◦48.5Nunki 75◦51.1 -26◦16.2Altair 62◦02.6 8◦55.6

Peacock 53◦09.7 -56◦40.1Deneb 49◦27.4 45◦21.7

Enif 33◦41.2 9◦58.6Alnair 27◦36.0 -46◦51.4

Fomalhaut 15◦17.2 -29◦30.4Scheat 13◦47.5 28◦12.1Markab 13◦32.3 15◦19.4

2021/10/ SHA Mer.passVenus 130◦08.8 14:40Mars 170◦10.2 11:59

Jupiter 34◦26.0 20:59Saturn 50◦25.2 19:55

2021/10/ SHA Mer.passVenus 129◦00.9 14:41Mars 169◦34.2 11:57

Jupiter 34◦29.2 20:55Saturn 50◦26.2 19:51

2021/10/ SHA Mer.passVenus 127◦52.8 14:41Mars 168◦58.1 11:56

Jupiter 34◦32.3 20:51Saturn 50◦27.1 19:47

Horizontal paralaxVenus: 0.2Mars: 0.1

184

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2021 October 01 to Oct. 03

h Sun MoonFri GHA Dec GHA ν Dec d HP0 182◦34.0 -3◦11.2 247◦16.3 9.8 24◦24.3 -5.2 55.61 197◦34.2 -3◦12.2 261◦45.1 9.8 24◦19.0 -5.3 55.62 212◦34.4 -3◦13.2 276◦13.9 9.8 24◦13.6 -5.4 55.63 227◦34.6 -3◦14.1 290◦42.7 9.8 24◦08.1 -5.6 55.74 242◦34.8 -3◦15.1 305◦11.5 9.8 24◦02.5 -5.7 55.75 257◦35.0 -3◦16.1 319◦40.3 9.8 23◦56.7 -5.8 55.76 272◦35.2 -3◦17.0 334◦09.2 9.8 23◦50.8 -6.0 55.87 287◦35.4 -3◦18.0 348◦38.0 9.9 23◦44.8 -6.1 55.88 302◦35.6 -3◦19.0 3◦06.9 9.9 23◦38.7 -6.2 55.89 317◦35.8 -3◦19.9 17◦35.8 9.9 23◦32.4 -6.3 55.810 332◦36.0 -3◦20.9 32◦04.7 9.9 23◦26.0 -6.5 55.911 347◦36.2 -3◦21.9 46◦33.6 9.9 23◦19.5 -6.6 55.912 2◦36.4 -3◦22.9 61◦02.6 9.9 23◦12.8 -6.7 55.913 17◦36.6 -3◦23.8 75◦31.5 10.0 23◦06.0 -6.8 56.014 32◦36.8 -3◦24.8 90◦00.5 10.0 22◦59.1 -7.0 56.015 47◦37.0 -3◦25.8 104◦29.5 10.0 22◦52.1 -7.1 56.016 62◦37.2 -3◦26.7 118◦58.5 10.0 22◦44.9 -7.2 56.117 77◦37.4 -3◦27.7 133◦27.5 10.0 22◦37.6 -7.3 56.118 92◦37.6 -3◦28.7 147◦56.6 10.1 22◦30.2 -7.5 56.119 107◦37.8 -3◦29.6 162◦25.6 10.1 22◦22.7 -7.6 56.220 122◦38.0 -3◦30.6 176◦54.7 10.1 22◦15.1 -7.7 56.221 137◦38.2 -3◦31.6 191◦23.8 10.1 22◦07.3 -7.8 56.222 152◦38.4 -3◦32.5 205◦53.0 10.1 21◦59.4 -8.0 56.223 167◦38.6 -3◦33.5 220◦22.1 10.2 21◦51.3 -8.1 56.3

SD.=16.0 d=-1.0 S.D.=15.2

Sat GHA Dec GHA ν Dec d HP0 182◦38.8 -3◦34.5 234◦51.3 10.2 21◦43.2 -8.2 56.31 197◦39.0 -3◦35.4 249◦20.5 10.2 21◦34.9 -8.3 56.32 212◦39.2 -3◦36.4 263◦49.7 10.2 21◦26.6 -8.4 56.43 227◦39.4 -3◦37.4 278◦19.0 10.3 21◦18.0 -8.6 56.44 242◦39.6 -3◦38.3 292◦48.2 10.3 21◦09.4 -8.7 56.45 257◦39.8 -3◦39.3 307◦17.5 10.3 21◦00.7 -8.8 56.56 272◦40.0 -3◦40.3 321◦46.9 10.3 20◦51.8 -8.9 56.57 287◦40.2 -3◦41.2 336◦16.2 10.4 20◦42.8 -9.0 56.58 302◦40.4 -3◦42.2 350◦45.6 10.4 20◦33.7 -9.2 56.69 317◦40.6 -3◦43.2 5◦15.0 10.4 20◦24.5 -9.3 56.610 332◦40.8 -3◦44.2 19◦44.4 10.4 20◦15.2 -9.4 56.611 347◦41.0 -3◦45.1 34◦13.8 10.5 20◦05.8 -9.5 56.712 2◦41.2 -3◦46.1 48◦43.3 10.5 19◦56.2 -9.6 56.713 17◦41.4 -3◦47.1 63◦12.8 10.5 19◦46.5 -9.7 56.714 32◦41.6 -3◦48.0 77◦42.3 10.5 19◦36.7 -9.8 56.815 47◦41.8 -3◦49.0 92◦11.8 10.6 19◦26.8 -10.0 56.816 62◦42.0 -3◦50.0 106◦41.4 10.6 19◦16.8 -10.1 56.817 77◦42.2 -3◦50.9 121◦11.0 10.6 19◦06.7 -10.2 56.918 92◦42.4 -3◦51.9 135◦40.6 10.6 18◦56.5 -10.3 56.919 107◦42.6 -3◦52.9 150◦10.2 10.7 18◦46.1 -10.4 57.020 122◦42.8 -3◦53.8 164◦39.9 10.7 18◦35.7 -10.5 57.021 137◦43.0 -3◦54.8 179◦09.6 10.7 18◦25.1 -10.6 57.022 152◦43.2 -3◦55.8 193◦39.3 10.7 18◦14.4 -10.7 57.123 167◦43.3 -3◦56.7 208◦09.0 10.8 18◦03.7 -10.8 57.1

SD.=16.0 d=-1.0 S.D.=15.4

Sun GHA Dec GHA ν Dec d HP0 182◦43.5 -3◦57.7 222◦38.8 10.8 17◦52.8 -10.9 57.11 197◦43.7 -3◦58.7 237◦08.6 10.8 17◦41.8 -11.0 57.22 212◦43.9 -3◦59.6 251◦38.4 10.8 17◦30.7 -11.1 57.23 227◦44.1 -4◦00.6 266◦08.2 10.8 17◦19.5 -11.2 57.24 242◦44.3 -4◦01.6 280◦38.1 10.9 17◦08.2 -11.3 57.35 257◦44.5 -4◦02.5 295◦08.0 10.9 16◦56.8 -11.5 57.36 272◦44.7 -4◦03.5 309◦37.9 10.9 16◦45.3 -11.6 57.37 287◦44.9 -4◦04.4 324◦07.8 10.9 16◦33.7 -11.7 57.48 302◦45.1 -4◦05.4 338◦37.8 11.0 16◦22.0 -11.8 57.49 317◦45.3 -4◦06.4 353◦07.7 11.0 16◦10.2 -11.8 57.410 332◦45.5 -4◦07.3 7◦37.7 11.0 15◦58.3 -11.9 57.511 347◦45.7 -4◦08.3 22◦07.8 11.0 15◦46.3 -12.0 57.512 2◦45.9 -4◦09.3 36◦37.8 11.1 15◦34.2 -12.1 57.513 17◦46.1 -4◦10.2 51◦07.9 11.1 15◦22.0 -12.2 57.614 32◦46.3 -4◦11.2 65◦38.0 11.1 15◦09.8 -12.3 57.615 47◦46.5 -4◦12.2 80◦08.1 11.1 14◦57.4 -12.4 57.716 62◦46.6 -4◦13.1 94◦38.2 11.1 14◦44.9 -12.5 57.717 77◦46.8 -4◦14.1 109◦08.4 11.2 14◦32.4 -12.6 57.718 92◦47.0 -4◦15.1 123◦38.5 11.2 14◦19.7 -12.7 57.819 107◦47.2 -4◦16.0 138◦08.7 11.2 14◦07.0 -12.8 57.820 122◦47.4 -4◦17.0 152◦38.9 11.2 13◦54.2 -12.9 57.821 137◦47.6 -4◦18.0 167◦09.1 11.2 13◦41.3 -13.0 57.922 152◦47.8 -4◦18.9 181◦39.4 11.3 13◦28.3 -13.0 57.923 167◦48.0 -4◦19.9 196◦09.6 11.3 13◦15.2 -13.1 57.9

SD.=16.0 d=-1.0 S.D.=15.6

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 03:55 05:17 06:24 17:12 18:19 19:4070 04:06 05:19 06:20 17:16 18:17 19:2968 04:15 05:22 06:17 17:20 18:15 19:2066 04:23 05:23 06:14 17:23 18:13 19:1364 04:29 05:25 06:12 17:25 18:12 19:0862 04:34 05:26 06:10 17:27 18:11 19:0360 04:38 05:27 06:08 17:29 18:10 18:5958 04:42 05:28 06:07 17:31 18:10 18:5556 04:45 05:28 06:05 17:32 18:09 18:5254 04:48 05:29 06:04 17:34 18:09 18:5052 04:50 05:29 06:03 17:35 18:08 18:4750 04:52 05:29 06:02 17:36 18:08 18:4645 04:56 05:30 05:59 17:38 18:08 18:4240 04:59 05:30 05:57 17:41 18:08 18:3935 05:01 05:30 05:56 17:42 18:08 18:3730 05:02 05:30 05:54 17:44 18:08 18:3620 05:04 05:29 05:51 17:47 18:09 18:3510 05:03 05:28 05:49 17:50 18:11 18:350 05:01 05:25 05:46 17:53 18:13 18:37-10 04:58 05:22 05:43 17:55 18:16 18:41-20 04:53 05:18 05:40 17:58 18:20 18:46-30 04:45 05:13 05:37 18:02 18:26 18:54-35 04:40 05:10 05:35 18:04 18:30 18:59-40 04:33 05:05 05:33 18:07 18:34 19:06-45 04:25 05:00 05:30 18:09 18:39 19:14-50 04:15 04:54 05:27 18:13 18:46 19:25-52 04:10 04:51 05:25 18:14 18:49 19:30-54 04:04 04:48 05:23 18:16 18:52 19:36-56 03:58 04:44 05:22 18:18 18:56 19:42-58 03:51 04:40 05:20 18:20 19:00 19:50-60 03:42 04:35 05:17 18:23 19:06 19:58

Moonrise MoonsetLat. Fri Sat Sun Fri Sat Sun72 –:– –:– –:– –:– –:– 19:0770 –:– 22:56 –:– –:– 19:30 18:4168 –:– 23:38 –:– –:– 18:46 18:2066 21:59 –:– 00:06 18:38 18:17 18:0464 22:38 –:– 00:27 17:59 17:55 17:5062 23:05 –:– 00:44 17:31 17:37 17:3960 23:25 –:– 00:58 17:10 17:22 17:2958 23:42 –:– 01:10 16:52 17:09 17:2156 23:57 –:– 01:21 16:37 16:58 17:1354 –:– 00:09 01:30 16:25 16:48 17:0652 –:– 00:20 01:38 16:13 16:39 17:0050 –:– 00:30 01:45 16:03 16:31 16:5445 –:– 00:50 02:01 15:42 16:15 16:4240 00:02 01:06 02:13 15:25 16:01 16:3235 00:18 01:20 02:24 15:10 15:49 16:2430 00:32 01:32 02:33 14:58 15:39 16:1620 00:55 01:52 02:50 14:36 15:21 16:0310 01:16 02:10 03:04 14:17 15:05 15:510 01:35 02:26 03:17 13:59 14:50 15:40-10 01:54 02:42 03:30 13:42 14:36 15:29-20 02:14 02:60 03:43 13:23 14:20 15:17-30 02:37 03:20 03:59 13:00 14:01 15:03-35 02:51 03:32 04:08 12:47 13:50 14:55-40 03:06 03:45 04:19 12:32 13:38 14:46-45 03:25 04:01 04:31 12:14 13:23 14:36-50 03:48 04:20 04:45 11:52 13:05 14:22-52 03:59 04:29 04:52 11:41 12:56 14:16-54 04:12 04:39 04:60 11:29 12:47 14:09-56 04:26 04:51 05:08 11:14 12:36 14:02-58 04:43 05:04 05:17 10:58 12:23 13:53-60 05:04 05:19 05:28 10:38 12:09 13:43

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower1 10:16 10:26 11:49 07:47 20:12 24(27%)2 10:35 10:45 11:49 08:38 21:03 25(19%)3 10:54 11:03 11:48 09:28 21:53 26(11%)

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October 04, 05 ,06 (Mon., Tue., Wed.)Aries Venus Mars Jupiter Saturn

Mon GHA GHA Dec GHA Dec GHA Dec GHA Dec0 12◦54.2 139◦38.8 -21◦36.9 181◦16.2 -4◦15.3 47◦29.4 -15◦04.1 63◦22.1 -19◦20.01 27◦56.7 154◦38.5 -21◦37.8 196◦17.1 -4◦16.0 62◦32.0 -15◦04.2 78◦24.6 -19◦20.02 42◦59.1 169◦38.1 -21◦38.6 211◦18.1 -4◦16.6 77◦34.6 -15◦04.2 93◦27.1 -19◦20.03 58◦01.6 184◦37.7 -21◦39.4 226◦19.0 -4◦17.3 92◦37.1 -15◦04.2 108◦29.6 -19◦20.14 73◦04.1 199◦37.3 -21◦40.2 241◦20.0 -4◦17.9 107◦39.7 -15◦04.3 123◦32.1 -19◦20.15 88◦06.5 214◦36.9 -21◦41.0 256◦20.9 -4◦18.6 122◦42.3 -15◦04.3 138◦34.6 -19◦20.16 103◦09.0 229◦36.5 -21◦41.8 271◦21.9 -4◦19.2 137◦44.9 -15◦04.3 153◦37.0 -19◦20.17 118◦11.5 244◦36.2 -21◦42.6 286◦22.9 -4◦19.9 152◦47.5 -15◦04.4 168◦39.5 -19◦20.18 133◦13.9 259◦35.8 -21◦43.4 301◦23.8 -4◦20.6 167◦50.0 -15◦04.4 183◦42.0 -19◦20.19 148◦16.4 274◦35.4 -21◦44.2 316◦24.8 -4◦21.2 182◦52.6 -15◦04.4 198◦44.5 -19◦20.110 163◦18.8 289◦35.0 -21◦45.0 331◦25.7 -4◦21.9 197◦55.2 -15◦04.5 213◦47.0 -19◦20.111 178◦21.3 304◦34.6 -21◦45.8 346◦26.7 -4◦22.5 212◦57.8 -15◦04.5 228◦49.5 -19◦20.112 193◦23.8 319◦34.3 -21◦46.6 1◦27.6 -4◦23.2 228◦00.4 -15◦04.5 243◦52.0 -19◦20.113 208◦26.2 334◦33.9 -21◦47.5 16◦28.6 -4◦23.8 243◦02.9 -15◦04.6 258◦54.5 -19◦20.114 223◦28.7 349◦33.5 -21◦48.3 31◦29.5 -4◦24.5 258◦05.5 -15◦04.6 273◦57.0 -19◦20.115 238◦31.2 4◦33.1 -21◦49.1 46◦30.5 -4◦25.1 273◦08.1 -15◦04.6 288◦59.5 -19◦20.116 253◦33.6 19◦32.7 -21◦49.9 61◦31.5 -4◦25.8 288◦10.7 -15◦04.7 304◦02.0 -19◦20.217 268◦36.1 34◦32.3 -21◦50.7 76◦32.4 -4◦26.5 303◦13.2 -15◦04.7 319◦04.5 -19◦20.218 283◦38.6 49◦31.9 -21◦51.5 91◦33.4 -4◦27.1 318◦15.8 -15◦04.7 334◦07.0 -19◦20.219 298◦41.0 64◦31.6 -21◦52.3 106◦34.3 -4◦27.8 333◦18.4 -15◦04.8 349◦09.4 -19◦20.220 313◦43.5 79◦31.2 -21◦53.0 121◦35.3 -4◦28.4 348◦21.0 -15◦04.8 4◦11.9 -19◦20.221 328◦45.9 94◦30.8 -21◦53.8 136◦36.2 -4◦29.1 3◦23.5 -15◦04.8 19◦14.4 -19◦20.222 343◦48.4 109◦30.4 -21◦54.6 151◦37.2 -4◦29.7 18◦26.1 -15◦04.9 34◦16.9 -19◦20.223 358◦50.9 124◦30.0 -21◦55.4 166◦38.1 -4◦30.4 33◦28.7 -15◦04.9 49◦19.4 -19◦20.2Mer.pass.:23:04 v-0.4 d-0.8 m-4.1 v1.0 d-0.7 m1.6 v2.6 d-0.0 m-2.5 v2.5 d-0.0 m0.5

Tue GHA GHA Dec GHA Dec GHA Dec GHA Dec0 13◦53.3 139◦29.6 -21◦56.2 181◦39.1 -4◦31.0 48◦31.3 -15◦04.9 64◦21.9 -19◦20.21 28◦55.8 154◦29.2 -21◦57.0 196◦40.1 -4◦31.7 63◦33.8 -15◦05.0 79◦24.4 -19◦20.22 43◦58.3 169◦28.9 -21◦57.8 211◦41.0 -4◦32.4 78◦36.4 -15◦05.0 94◦26.9 -19◦20.23 59◦00.7 184◦28.5 -21◦58.6 226◦42.0 -4◦33.0 93◦39.0 -15◦05.0 109◦29.4 -19◦20.24 74◦03.2 199◦28.1 -21◦59.4 241◦42.9 -4◦33.7 108◦41.5 -15◦05.0 124◦31.9 -19◦20.25 89◦05.7 214◦27.7 -22◦00.2 256◦43.9 -4◦34.3 123◦44.1 -15◦05.1 139◦34.4 -19◦20.26 104◦08.1 229◦27.3 -22◦01.0 271◦44.8 -4◦35.0 138◦46.7 -15◦05.1 154◦36.8 -19◦20.27 119◦10.6 244◦26.9 -22◦01.8 286◦45.8 -4◦35.6 153◦49.3 -15◦05.1 169◦39.3 -19◦20.28 134◦13.1 259◦26.5 -22◦02.5 301◦46.7 -4◦36.3 168◦51.8 -15◦05.2 184◦41.8 -19◦20.39 149◦15.5 274◦26.1 -22◦03.3 316◦47.7 -4◦36.9 183◦54.4 -15◦05.2 199◦44.3 -19◦20.310 164◦18.0 289◦25.8 -22◦04.1 331◦48.6 -4◦37.6 198◦57.0 -15◦05.2 214◦46.8 -19◦20.311 179◦20.4 304◦25.4 -22◦04.9 346◦49.6 -4◦38.2 213◦59.5 -15◦05.3 229◦49.3 -19◦20.312 194◦22.9 319◦25.0 -22◦05.7 1◦50.5 -4◦38.9 229◦02.1 -15◦05.3 244◦51.8 -19◦20.313 209◦25.4 334◦24.6 -22◦06.5 16◦51.5 -4◦39.6 244◦04.7 -15◦05.3 259◦54.3 -19◦20.314 224◦27.8 349◦24.2 -22◦07.2 31◦52.5 -4◦40.2 259◦07.2 -15◦05.4 274◦56.7 -19◦20.315 239◦30.3 4◦23.8 -22◦08.0 46◦53.4 -4◦40.9 274◦09.8 -15◦05.4 289◦59.2 -19◦20.316 254◦32.8 19◦23.4 -22◦08.8 61◦54.4 -4◦41.5 289◦12.4 -15◦05.4 305◦01.7 -19◦20.317 269◦35.2 34◦23.0 -22◦09.6 76◦55.3 -4◦42.2 304◦14.9 -15◦05.4 320◦04.2 -19◦20.318 284◦37.7 49◦22.6 -22◦10.4 91◦56.3 -4◦42.8 319◦17.5 -15◦05.5 335◦06.7 -19◦20.319 299◦40.2 64◦22.3 -22◦11.1 106◦57.2 -4◦43.5 334◦20.1 -15◦05.5 350◦09.2 -19◦20.320 314◦42.6 79◦21.9 -22◦11.9 121◦58.2 -4◦44.1 349◦22.6 -15◦05.5 5◦11.7 -19◦20.321 329◦45.1 94◦21.5 -22◦12.7 136◦59.1 -4◦44.8 4◦25.2 -15◦05.6 20◦14.2 -19◦20.322 344◦47.5 109◦21.1 -22◦13.5 152◦00.1 -4◦45.4 19◦27.8 -15◦05.6 35◦16.6 -19◦20.323 359◦50.0 124◦20.7 -22◦14.2 167◦01.0 -4◦46.1 34◦30.3 -15◦05.6 50◦19.1 -19◦20.3Mer.pass.:23:00 v-0.4 d-0.8 m-4.1 v1.0 d-0.7 m1.6 v2.6 d-0.0 m-2.5 v2.5 d-0.0 m0.5

Wed GHA GHA Dec GHA Dec GHA Dec GHA Dec0 14◦52.5 139◦20.3 -22◦15.0 182◦02.0 -4◦46.8 49◦32.9 -15◦05.7 65◦21.6 -19◦20.31 29◦54.9 154◦19.9 -22◦15.8 197◦02.9 -4◦47.4 64◦35.5 -15◦05.7 80◦24.1 -19◦20.42 44◦57.4 169◦19.5 -22◦16.6 212◦03.9 -4◦48.1 79◦38.0 -15◦05.7 95◦26.6 -19◦20.43 59◦59.9 184◦19.1 -22◦17.3 227◦04.8 -4◦48.7 94◦40.6 -15◦05.7 110◦29.1 -19◦20.44 75◦02.3 199◦18.7 -22◦18.1 242◦05.8 -4◦49.4 109◦43.2 -15◦05.8 125◦31.6 -19◦20.45 90◦04.8 214◦18.3 -22◦18.9 257◦06.7 -4◦50.0 124◦45.7 -15◦05.8 140◦34.0 -19◦20.46 105◦07.3 229◦17.9 -22◦19.6 272◦07.7 -4◦50.7 139◦48.3 -15◦05.8 155◦36.5 -19◦20.47 120◦09.7 244◦17.6 -22◦20.4 287◦08.6 -4◦51.3 154◦50.9 -15◦05.9 170◦39.0 -19◦20.48 135◦12.2 259◦17.2 -22◦21.2 302◦09.6 -4◦52.0 169◦53.4 -15◦05.9 185◦41.5 -19◦20.49 150◦14.7 274◦16.8 -22◦21.9 317◦10.5 -4◦52.6 184◦56.0 -15◦05.9 200◦44.0 -19◦20.410 165◦17.1 289◦16.4 -22◦22.7 332◦11.5 -4◦53.3 199◦58.5 -15◦05.9 215◦46.5 -19◦20.411 180◦19.6 304◦16.0 -22◦23.5 347◦12.4 -4◦53.9 215◦01.1 -15◦06.0 230◦49.0 -19◦20.412 195◦22.0 319◦15.6 -22◦24.2 2◦13.4 -4◦54.6 230◦03.7 -15◦06.0 245◦51.4 -19◦20.413 210◦24.5 334◦15.2 -22◦25.0 17◦14.3 -4◦55.3 245◦06.2 -15◦06.0 260◦53.9 -19◦20.414 225◦27.0 349◦14.8 -22◦25.7 32◦15.3 -4◦55.9 260◦08.8 -15◦06.0 275◦56.4 -19◦20.415 240◦29.4 4◦14.4 -22◦26.5 47◦16.3 -4◦56.6 275◦11.4 -15◦06.1 290◦58.9 -19◦20.416 255◦31.9 19◦14.0 -22◦27.3 62◦17.2 -4◦57.2 290◦13.9 -15◦06.1 306◦01.4 -19◦20.417 270◦34.4 34◦13.6 -22◦28.0 77◦18.2 -4◦57.9 305◦16.5 -15◦06.1 321◦03.9 -19◦20.418 285◦36.8 49◦13.2 -22◦28.8 92◦19.1 -4◦58.5 320◦19.0 -15◦06.2 336◦06.3 -19◦20.419 300◦39.3 64◦12.8 -22◦29.5 107◦20.1 -4◦59.2 335◦21.6 -15◦06.2 351◦08.8 -19◦20.420 315◦41.8 79◦12.4 -22◦30.3 122◦21.0 -4◦59.8 350◦24.2 -15◦06.2 6◦11.3 -19◦20.421 330◦44.2 94◦12.0 -22◦31.0 137◦22.0 -5◦00.5 5◦26.7 -15◦06.2 21◦13.8 -19◦20.522 345◦46.7 109◦11.6 -22◦31.8 152◦22.9 -5◦01.1 20◦29.3 -15◦06.3 36◦16.3 -19◦20.523 0◦49.1 124◦11.2 -22◦32.5 167◦23.9 -5◦01.8 35◦31.8 -15◦06.3 51◦18.8 -19◦20.5Mer.pass.:22:56 v-0.4 d-0.8 m-4.1 v1.0 d-0.7 m1.6 v2.6 d-0.0 m-2.5 v2.5 d-0.0 m0.5

StarsSHA Dec

Alpheratz 357◦37.2 29◦12.7Ankaa 353◦09.4 -42◦11.3

Schedar 349◦33.5 56◦39.4Diphda 348◦49.6 -17◦52.0

Achernar 335◦21.7 -57◦07.6Hamal 327◦53.9 23◦33.9Polaris 314◦53.4 89◦21.1Akamar 315◦13.5 -40◦12.9Menkar 314◦08.7 4◦10.5Mirfak 308◦31.7 49◦56.1

Aldebaran 290◦42.5 16◦33.2Rigel 281◦06.3 -8◦10.5

Capella 280◦25.7 46◦01.1Bellatrix 278◦25.6 6◦22.2Elnath 278◦05.1 28◦37.5Alnilam 275◦40.4 -1◦11.2

Betelgeuse 270◦54.9 7◦24.7Canopus 263◦53.5 -52◦42.1

Sirius 258◦28.5 -16◦44.3Adara 255◦08.0 -28◦59.8

Procyon 244◦53.6 5◦10.4Pollux 243◦20.6 27◦58.4Avior 234◦16.0 -59◦34.4Suhail 222◦48.5 -43◦30.9

Miaplacidus 221◦39.3 -69◦48.0Alphard 217◦50.6 -8◦44.9Regulus 207◦37.5 11◦51.8Dubhe 193◦44.9 61◦38.0

Denebola 182◦27.9 14◦27.2Gienah 175◦46.6 -17◦39.5Acrux 173◦03.7 -63◦13.0

Gacrux 171◦55.2 -57◦13.9Alioth 166◦16.0 55◦50.7Spica 158◦25.4 -11◦16.3Alcaid 152◦54.6 49◦12.5Hadar 148◦40.4 -60◦28.6

Menkent 148◦01.2 -36◦28.5Arcturus 145◦50.5 19◦04.7

Rigil Kent. 139◦44.5 -60◦55.4Zubenelg. 136◦59.3 -16◦07.7Kochab 137◦20.8 74◦04.2

Alphecca 126◦06.3 26◦38.8Antares 112◦19.3 -26◦28.7

Atria 107◦16.2 -69◦04.1Sabik 102◦06.0 -15◦45.0

Shaula 96◦14.2 -37◦07.2Rasalhague 96◦01.2 12◦32.9

Etamin 90◦43.6 51◦29.5Kaus Aust. 83◦36.1 -34◦22.5

Vega 80◦35.1 38◦48.5Nunki 75◦51.1 -26◦16.2Altair 62◦02.6 8◦55.6

Peacock 53◦09.8 -56◦40.1Deneb 49◦27.4 45◦21.7

Enif 33◦41.2 9◦58.6Alnair 27◦36.0 -46◦51.5

Fomalhaut 15◦17.2 -29◦30.5Scheat 13◦47.5 28◦12.1Markab 13◦32.3 15◦19.4

2021/10/ SHA Mer.passVenus 126◦44.6 14:42Mars 168◦22.0 11:54

Jupiter 34◦35.2 20:46Saturn 50◦27.9 19:43

2021/10/ SHA Mer.passVenus 125◦36.3 14:42Mars 167◦45.8 11:53

Jupiter 34◦37.9 20:42Saturn 50◦28.6 19:39

2021/10/ SHA Mer.passVenus 124◦27.8 14:43Mars 167◦09.5 11:51

Jupiter 34◦40.4 20:38Saturn 50◦29.1 19:35

Horizontal paralaxVenus: 0.2Mars: 0.1

186

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2021 October 04 to Oct. 06

h Sun MoonMon GHA Dec GHA ν Dec d HP0 182◦48.2 -4◦20.9 210◦39.9 11.3 13◦02.0 -13.2 58.01 197◦48.4 -4◦21.8 225◦10.2 11.3 12◦48.8 -13.3 58.02 212◦48.6 -4◦22.8 239◦40.5 11.3 12◦35.4 -13.4 58.03 227◦48.8 -4◦23.7 254◦10.9 11.3 12◦22.0 -13.5 58.14 242◦48.9 -4◦24.7 268◦41.2 11.3 12◦08.5 -13.5 58.15 257◦49.1 -4◦25.7 283◦11.5 11.4 11◦54.9 -13.6 58.16 272◦49.3 -4◦26.6 297◦41.9 11.4 11◦41.3 -13.7 58.27 287◦49.5 -4◦27.6 312◦12.3 11.4 11◦27.6 -13.8 58.28 302◦49.7 -4◦28.6 326◦42.7 11.4 11◦13.8 -13.8 58.29 317◦49.9 -4◦29.5 341◦13.1 11.4 10◦59.9 -13.9 58.310 332◦50.1 -4◦30.5 355◦43.5 11.4 10◦45.9 -14.0 58.311 347◦50.3 -4◦31.5 10◦13.9 11.4 10◦31.9 -14.1 58.312 2◦50.5 -4◦32.4 24◦44.4 11.4 10◦17.8 -14.1 58.413 17◦50.7 -4◦33.4 39◦14.8 11.4 10◦03.6 -14.2 58.414 32◦50.9 -4◦34.3 53◦45.3 11.5 9◦49.4 -14.3 58.415 47◦51.0 -4◦35.3 68◦15.7 11.5 9◦35.1 -14.3 58.516 62◦51.2 -4◦36.3 82◦46.2 11.5 9◦20.7 -14.4 58.517 77◦51.4 -4◦37.2 97◦16.7 11.5 9◦06.3 -14.5 58.518 92◦51.6 -4◦38.2 111◦47.2 11.5 8◦51.8 -14.5 58.619 107◦51.8 -4◦39.2 126◦17.6 11.5 8◦37.2 -14.6 58.620 122◦52.0 -4◦40.1 140◦48.1 11.5 8◦22.6 -14.7 58.621 137◦52.2 -4◦41.1 155◦18.6 11.5 8◦07.9 -14.7 58.722 152◦52.4 -4◦42.0 169◦49.1 11.5 7◦53.2 -14.8 58.723 167◦52.5 -4◦43.0 184◦19.6 11.5 7◦38.4 -14.8 58.7

SD.=16.0 d=-1.0 S.D.=15.8

Tue GHA Dec GHA ν Dec d HP0 182◦52.7 -4◦44.0 198◦50.1 11.5 7◦23.6 -14.9 58.81 197◦52.9 -4◦44.9 213◦20.6 11.5 7◦08.6 -14.9 58.82 212◦53.1 -4◦45.9 227◦51.1 11.5 6◦53.7 -15.0 58.83 227◦53.3 -4◦46.9 242◦21.6 11.5 6◦38.7 -15.0 58.94 242◦53.5 -4◦47.8 256◦52.1 11.5 6◦23.6 -15.1 58.95 257◦53.7 -4◦48.8 271◦22.6 11.5 6◦08.5 -15.1 58.96 272◦53.9 -4◦49.7 285◦53.1 11.5 5◦53.3 -15.2 59.07 287◦54.0 -4◦50.7 300◦23.5 11.5 5◦38.1 -15.2 59.08 302◦54.2 -4◦51.7 314◦54.0 11.5 5◦22.9 -15.3 59.09 317◦54.4 -4◦52.6 329◦24.5 11.5 5◦07.5 -15.3 59.110 332◦54.6 -4◦53.6 343◦54.9 11.5 4◦52.2 -15.4 59.111 347◦54.8 -4◦54.6 358◦25.4 11.4 4◦36.8 -15.4 59.112 2◦55.0 -4◦55.5 12◦55.8 11.4 4◦21.4 -15.4 59.113 17◦55.2 -4◦56.5 27◦26.3 11.4 4◦05.9 -15.5 59.214 32◦55.4 -4◦57.4 41◦56.7 11.4 3◦50.4 -15.5 59.215 47◦55.5 -4◦58.4 56◦27.1 11.4 3◦34.9 -15.6 59.216 62◦55.7 -4◦59.4 70◦57.5 11.4 3◦19.3 -15.6 59.317 77◦55.9 -5◦00.3 85◦27.9 11.4 3◦03.7 -15.6 59.318 92◦56.1 -5◦01.3 99◦58.2 11.4 2◦48.1 -15.7 59.319 107◦56.3 -5◦02.2 114◦28.6 11.3 2◦32.4 -15.7 59.320 122◦56.5 -5◦03.2 128◦58.9 11.3 2◦16.7 -15.7 59.421 137◦56.6 -5◦04.2 143◦29.2 11.3 2◦01.0 -15.7 59.422 152◦56.8 -5◦05.1 157◦59.5 11.3 1◦45.3 -15.8 59.423 167◦57.0 -5◦06.1 172◦29.8 11.3 1◦29.5 -15.8 59.4

SD.=16.0 d=-1.0 S.D.=16.0

Wed GHA Dec GHA ν Dec d HP0 182◦57.2 -5◦07.0 187◦00.0 11.2 1◦13.7 -15.8 59.51 197◦57.4 -5◦08.0 201◦30.3 11.2 0◦57.9 -15.8 59.52 212◦57.6 -5◦09.0 216◦00.5 11.2 0◦42.1 -15.8 59.53 227◦57.7 -5◦09.9 230◦30.7 11.2 0◦26.2 -15.9 59.54 242◦57.9 -5◦10.9 245◦00.8 11.1 0◦10.3 -15.9 59.65 257◦58.1 -5◦11.8 259◦31.0 11.1 -0◦05.5 -15.9 59.66 272◦58.3 -5◦12.8 274◦01.1 11.1 -0◦21.4 -15.9 59.67 287◦58.5 -5◦13.7 288◦31.2 11.1 -0◦37.3 -15.9 59.68 302◦58.7 -5◦14.7 303◦01.2 11.0 -0◦53.2 -15.9 59.79 317◦58.8 -5◦15.7 317◦31.2 11.0 -1◦09.2 -15.9 59.710 332◦59.0 -5◦16.6 332◦01.2 11.0 -1◦25.1 -15.9 59.711 347◦59.2 -5◦17.6 346◦31.2 10.9 -1◦41.0 -15.9 59.712 2◦59.4 -5◦18.5 1◦01.1 10.9 -1◦56.9 -15.9 59.813 17◦59.6 -5◦19.5 15◦31.0 10.9 -2◦12.9 -15.9 59.814 32◦59.8 -5◦20.5 30◦00.9 10.8 -2◦28.8 -15.9 59.815 47◦59.9 -5◦21.4 44◦30.7 10.8 -2◦44.8 -15.9 59.816 63◦00.1 -5◦22.4 59◦00.5 10.8 -3◦00.7 -15.9 59.817 78◦00.3 -5◦23.3 73◦30.2 10.7 -3◦16.6 -15.9 59.918 93◦00.5 -5◦24.3 87◦60.0 10.7 -3◦32.5 -15.9 59.919 108◦00.7 -5◦25.2 102◦29.6 10.7 -3◦48.4 -15.9 59.920 123◦00.8 -5◦26.2 116◦59.3 10.6 -4◦04.3 -15.9 59.921 138◦01.0 -5◦27.2 131◦28.9 10.6 -4◦20.2 -15.9 59.922 153◦01.2 -5◦28.1 145◦58.4 10.5 -4◦36.1 -15.9 59.923 168◦01.4 -5◦29.1 160◦27.9 10.5 -4◦51.9 -15.8 60.0

SD.=16.0 d=-1.0 S.D.=16.2

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 04:10 05:30 06:38 16:57 18:04 19:2370 04:19 05:31 06:32 17:03 18:03 19:1568 04:27 05:32 06:28 17:07 18:03 19:0766 04:33 05:33 06:24 17:11 18:02 19:0264 04:38 05:33 06:21 17:15 18:02 18:5762 04:42 05:34 06:18 17:17 18:02 18:5360 04:45 05:34 06:15 17:20 18:01 18:5058 04:48 05:34 06:13 17:22 18:01 18:4756 04:51 05:34 06:11 17:24 18:01 18:4454 04:53 05:34 06:09 17:26 18:01 18:4252 04:55 05:34 06:08 17:28 18:02 18:4150 04:57 05:34 06:06 17:29 18:02 18:3945 04:60 05:34 06:03 17:33 18:02 18:3640 05:02 05:33 06:00 17:36 18:03 18:3435 05:03 05:33 05:58 17:38 18:04 18:3330 05:04 05:32 05:56 17:41 18:04 18:3220 05:04 05:30 05:52 17:44 18:07 18:3210 05:03 05:27 05:48 17:48 18:09 18:340 05:00 05:24 05:45 17:52 18:12 18:36-10 04:56 05:21 05:42 17:55 18:16 18:41-20 04:50 05:16 05:38 17:59 18:21 18:47-30 04:41 05:09 05:33 18:04 18:28 18:56-35 04:35 05:05 05:31 18:06 18:32 19:02-40 04:28 05:01 05:28 18:10 18:37 19:09-45 04:19 04:55 05:24 18:13 18:43 19:18-50 04:08 04:47 05:20 18:18 18:50 19:30-52 04:02 04:44 05:18 18:20 18:54 19:36-54 03:56 04:40 05:16 18:22 18:58 19:42-56 03:49 04:36 05:14 18:24 19:02 19:49-58 03:41 04:31 05:11 18:27 19:08 19:58-60 03:32 04:25 05:08 18:30 19:13 20:07

Moonrise MoonsetLat. Mon Tue Wed Mon Tue Wed72 01:05 03:31 05:49 18:25 17:53 17:2370 01:29 03:41 05:49 18:12 17:49 17:2768 01:48 03:49 05:48 18:02 17:46 17:3166 02:03 03:55 05:48 17:53 17:44 17:3564 02:15 04:01 05:47 17:46 17:42 17:3762 02:25 04:05 05:47 17:40 17:40 17:4060 02:34 04:10 05:47 17:34 17:38 17:4258 02:41 04:13 05:47 17:29 17:37 17:4456 02:48 04:16 05:46 17:25 17:36 17:4654 02:54 04:19 05:46 17:21 17:34 17:4752 02:59 04:22 05:46 17:17 17:33 17:4950 03:04 04:24 05:46 17:14 17:32 17:5045 03:14 04:29 05:45 17:07 17:30 17:5340 03:23 04:33 05:45 17:01 17:28 17:5535 03:30 04:37 05:45 16:56 17:27 17:5730 03:36 04:40 05:45 16:51 17:25 17:5920 03:47 04:46 05:44 16:43 17:23 18:0210 03:57 04:50 05:44 16:36 17:20 18:050 04:06 04:55 05:44 16:29 17:18 18:08-10 04:15 04:59 05:44 16:22 17:16 18:10-20 04:24 05:04 05:44 16:15 17:14 18:13-30 04:35 05:10 05:43 16:07 17:11 18:16-35 04:42 05:13 05:43 16:02 17:09 18:18-40 04:49 05:16 05:43 15:56 17:07 18:20-45 04:57 05:20 05:43 15:50 17:05 18:22-50 05:06 05:25 05:43 15:42 17:03 18:25-52 05:11 05:27 05:43 15:38 17:02 18:27-54 05:16 05:30 05:43 15:34 17:00 18:28-56 05:21 05:33 05:43 15:30 16:59 18:30-58 05:27 05:35 05:43 15:25 16:57 18:32-60 05:34 05:39 05:43 15:19 16:55 18:34

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower4 11:13 11:22 11:48 10:17 22:42 27(5%)5 11:31 11:40 11:48 11:06 23:31 28(1%)6 11:49 11:57 11:48 11:55 00:20 0(0%)

187

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October 07, 08 ,09 (Thu., Fri., Sat.)Aries Venus Mars Jupiter Saturn

Thu GHA GHA Dec GHA Dec GHA Dec GHA Dec0 15◦51.6 139◦10.8 -22◦33.3 182◦24.8 -5◦02.4 50◦34.4 -15◦06.3 66◦21.2 -19◦20.51 30◦54.1 154◦10.5 -22◦34.0 197◦25.8 -5◦03.1 65◦36.9 -15◦06.3 81◦23.7 -19◦20.52 45◦56.5 169◦10.1 -22◦34.8 212◦26.7 -5◦03.7 80◦39.5 -15◦06.4 96◦26.2 -19◦20.53 60◦59.0 184◦09.7 -22◦35.5 227◦27.7 -5◦04.4 95◦42.1 -15◦06.4 111◦28.7 -19◦20.54 76◦01.5 199◦09.3 -22◦36.3 242◦28.6 -5◦05.1 110◦44.6 -15◦06.4 126◦31.2 -19◦20.55 91◦03.9 214◦08.9 -22◦37.0 257◦29.5 -5◦05.7 125◦47.2 -15◦06.4 141◦33.6 -19◦20.56 106◦06.4 229◦08.5 -22◦37.8 272◦30.5 -5◦06.4 140◦49.7 -15◦06.5 156◦36.1 -19◦20.57 121◦08.9 244◦08.1 -22◦38.5 287◦31.4 -5◦07.0 155◦52.3 -15◦06.5 171◦38.6 -19◦20.58 136◦11.3 259◦07.7 -22◦39.3 302◦32.4 -5◦07.7 170◦54.8 -15◦06.5 186◦41.1 -19◦20.59 151◦13.8 274◦07.3 -22◦40.0 317◦33.3 -5◦08.3 185◦57.4 -15◦06.5 201◦43.6 -19◦20.510 166◦16.3 289◦06.9 -22◦40.7 332◦34.3 -5◦09.0 200◦59.9 -15◦06.6 216◦46.0 -19◦20.511 181◦18.7 304◦06.5 -22◦41.5 347◦35.2 -5◦09.6 216◦02.5 -15◦06.6 231◦48.5 -19◦20.512 196◦21.2 319◦06.1 -22◦42.2 2◦36.2 -5◦10.3 231◦05.0 -15◦06.6 246◦51.0 -19◦20.513 211◦23.6 334◦05.7 -22◦43.0 17◦37.1 -5◦10.9 246◦07.6 -15◦06.6 261◦53.5 -19◦20.514 226◦26.1 349◦05.3 -22◦43.7 32◦38.1 -5◦11.6 261◦10.2 -15◦06.7 276◦56.0 -19◦20.515 241◦28.6 4◦04.9 -22◦44.4 47◦39.0 -5◦12.2 276◦12.7 -15◦06.7 291◦58.4 -19◦20.516 256◦31.0 19◦04.5 -22◦45.2 62◦40.0 -5◦12.9 291◦15.3 -15◦06.7 307◦00.9 -19◦20.517 271◦33.5 34◦04.1 -22◦45.9 77◦40.9 -5◦13.5 306◦17.8 -15◦06.7 322◦03.4 -19◦20.518 286◦36.0 49◦03.7 -22◦46.7 92◦41.9 -5◦14.2 321◦20.4 -15◦06.8 337◦05.9 -19◦20.519 301◦38.4 64◦03.3 -22◦47.4 107◦42.8 -5◦14.8 336◦22.9 -15◦06.8 352◦08.4 -19◦20.520 316◦40.9 79◦02.9 -22◦48.1 122◦43.8 -5◦15.5 351◦25.5 -15◦06.8 7◦10.8 -19◦20.521 331◦43.4 94◦02.5 -22◦48.9 137◦44.7 -5◦16.2 6◦28.0 -15◦06.8 22◦13.3 -19◦20.522 346◦45.8 109◦02.1 -22◦49.6 152◦45.7 -5◦16.8 21◦30.6 -15◦06.9 37◦15.8 -19◦20.623 1◦48.3 124◦01.7 -22◦50.3 167◦46.6 -5◦17.5 36◦33.1 -15◦06.9 52◦18.3 -19◦20.6Mer.pass.:22:52 v-0.4 d-0.8 m-4.1 v0.9 d-0.7 m1.7 v2.6 d-0.0 m-2.5 v2.5 d-0.0 m0.5

Fri GHA GHA Dec GHA Dec GHA Dec GHA Dec0 16◦50.8 139◦01.3 -22◦51.0 182◦47.6 -5◦18.1 51◦35.7 -15◦06.9 67◦20.8 -19◦20.61 31◦53.2 154◦00.9 -22◦51.8 197◦48.5 -5◦18.8 66◦38.2 -15◦06.9 82◦23.2 -19◦20.62 46◦55.7 169◦00.5 -22◦52.5 212◦49.5 -5◦19.4 81◦40.8 -15◦07.0 97◦25.7 -19◦20.63 61◦58.1 184◦00.1 -22◦53.2 227◦50.4 -5◦20.1 96◦43.3 -15◦07.0 112◦28.2 -19◦20.64 77◦00.6 198◦59.7 -22◦54.0 242◦51.4 -5◦20.7 111◦45.9 -15◦07.0 127◦30.7 -19◦20.65 92◦03.1 213◦59.3 -22◦54.7 257◦52.3 -5◦21.4 126◦48.4 -15◦07.0 142◦33.1 -19◦20.66 107◦05.5 228◦58.9 -22◦55.4 272◦53.2 -5◦22.0 141◦51.0 -15◦07.0 157◦35.6 -19◦20.67 122◦08.0 243◦58.5 -22◦56.1 287◦54.2 -5◦22.7 156◦53.5 -15◦07.1 172◦38.1 -19◦20.68 137◦10.5 258◦58.1 -22◦56.8 302◦55.1 -5◦23.3 171◦56.0 -15◦07.1 187◦40.6 -19◦20.69 152◦12.9 273◦57.7 -22◦57.6 317◦56.1 -5◦24.0 186◦58.6 -15◦07.1 202◦43.0 -19◦20.610 167◦15.4 288◦57.3 -22◦58.3 332◦57.0 -5◦24.6 202◦01.1 -15◦07.1 217◦45.5 -19◦20.611 182◦17.9 303◦56.9 -22◦59.0 347◦58.0 -5◦25.3 217◦03.7 -15◦07.2 232◦48.0 -19◦20.612 197◦20.3 318◦56.5 -22◦59.7 2◦58.9 -5◦25.9 232◦06.2 -15◦07.2 247◦50.5 -19◦20.613 212◦22.8 333◦56.1 -23◦00.4 17◦59.9 -5◦26.6 247◦08.8 -15◦07.2 262◦52.9 -19◦20.614 227◦25.2 348◦55.7 -23◦01.2 33◦00.8 -5◦27.2 262◦11.3 -15◦07.2 277◦55.4 -19◦20.615 242◦27.7 3◦55.3 -23◦01.9 48◦01.8 -5◦27.9 277◦13.9 -15◦07.2 292◦57.9 -19◦20.616 257◦30.2 18◦54.9 -23◦02.6 63◦02.7 -5◦28.5 292◦16.4 -15◦07.3 308◦00.4 -19◦20.617 272◦32.6 33◦54.5 -23◦03.3 78◦03.7 -5◦29.2 307◦19.0 -15◦07.3 323◦02.8 -19◦20.618 287◦35.1 48◦54.1 -23◦04.0 93◦04.6 -5◦29.8 322◦21.5 -15◦07.3 338◦05.3 -19◦20.619 302◦37.6 63◦53.6 -23◦04.7 108◦05.5 -5◦30.5 337◦24.0 -15◦07.3 353◦07.8 -19◦20.620 317◦40.0 78◦53.2 -23◦05.4 123◦06.5 -5◦31.1 352◦26.6 -15◦07.4 8◦10.3 -19◦20.621 332◦42.5 93◦52.8 -23◦06.2 138◦07.4 -5◦31.8 7◦29.1 -15◦07.4 23◦12.7 -19◦20.622 347◦45.0 108◦52.4 -23◦06.9 153◦08.4 -5◦32.4 22◦31.7 -15◦07.4 38◦15.2 -19◦20.623 2◦47.4 123◦52.0 -23◦07.6 168◦09.3 -5◦33.1 37◦34.2 -15◦07.4 53◦17.7 -19◦20.6Mer.pass.:22:48 v-0.4 d-0.7 m-4.1 v0.9 d-0.7 m1.7 v2.5 d-0.0 m-2.5 v2.5 d-0.0 m0.5

Sat GHA GHA Dec GHA Dec GHA Dec GHA Dec0 17◦49.9 138◦51.6 -23◦08.3 183◦10.3 -5◦33.8 52◦36.8 -15◦07.4 68◦20.2 -19◦20.61 32◦52.4 153◦51.2 -23◦09.0 198◦11.2 -5◦34.4 67◦39.3 -15◦07.5 83◦22.6 -19◦20.62 47◦54.8 168◦50.8 -23◦09.7 213◦12.2 -5◦35.1 82◦41.8 -15◦07.5 98◦25.1 -19◦20.63 62◦57.3 183◦50.4 -23◦10.4 228◦13.1 -5◦35.7 97◦44.4 -15◦07.5 113◦27.6 -19◦20.64 77◦59.7 198◦50.0 -23◦11.1 243◦14.0 -5◦36.4 112◦46.9 -15◦07.5 128◦30.1 -19◦20.65 93◦02.2 213◦49.6 -23◦11.8 258◦15.0 -5◦37.0 127◦49.5 -15◦07.5 143◦32.5 -19◦20.66 108◦04.7 228◦49.2 -23◦12.5 273◦15.9 -5◦37.7 142◦52.0 -15◦07.6 158◦35.0 -19◦20.67 123◦07.1 243◦48.8 -23◦13.2 288◦16.9 -5◦38.3 157◦54.5 -15◦07.6 173◦37.5 -19◦20.68 138◦09.6 258◦48.4 -23◦13.9 303◦17.8 -5◦39.0 172◦57.1 -15◦07.6 188◦39.9 -19◦20.69 153◦12.1 273◦48.0 -23◦14.6 318◦18.8 -5◦39.6 187◦59.6 -15◦07.6 203◦42.4 -19◦20.610 168◦14.5 288◦47.6 -23◦15.3 333◦19.7 -5◦40.3 203◦02.1 -15◦07.6 218◦44.9 -19◦20.611 183◦17.0 303◦47.2 -23◦16.0 348◦20.6 -5◦40.9 218◦04.7 -15◦07.7 233◦47.4 -19◦20.612 198◦19.5 318◦46.8 -23◦16.7 3◦21.6 -5◦41.6 233◦07.2 -15◦07.7 248◦49.8 -19◦20.613 213◦21.9 333◦46.4 -23◦17.4 18◦22.5 -5◦42.2 248◦09.8 -15◦07.7 263◦52.3 -19◦20.614 228◦24.4 348◦46.0 -23◦18.1 33◦23.5 -5◦42.9 263◦12.3 -15◦07.7 278◦54.8 -19◦20.715 243◦26.9 3◦45.5 -23◦18.8 48◦24.4 -5◦43.5 278◦14.8 -15◦07.7 293◦57.2 -19◦20.716 258◦29.3 18◦45.1 -23◦19.5 63◦25.4 -5◦44.2 293◦17.4 -15◦07.8 308◦59.7 -19◦20.717 273◦31.8 33◦44.7 -23◦20.2 78◦26.3 -5◦44.8 308◦19.9 -15◦07.8 324◦02.2 -19◦20.718 288◦34.2 48◦44.3 -23◦20.9 93◦27.3 -5◦45.5 323◦22.4 -15◦07.8 339◦04.7 -19◦20.719 303◦36.7 63◦43.9 -23◦21.5 108◦28.2 -5◦46.1 338◦25.0 -15◦07.8 354◦07.1 -19◦20.720 318◦39.2 78◦43.5 -23◦22.2 123◦29.1 -5◦46.8 353◦27.5 -15◦07.8 9◦09.6 -19◦20.721 333◦41.6 93◦43.1 -23◦22.9 138◦30.1 -5◦47.4 8◦30.0 -15◦07.8 24◦12.1 -19◦20.722 348◦44.1 108◦42.7 -23◦23.6 153◦31.0 -5◦48.1 23◦32.6 -15◦07.9 39◦14.5 -19◦20.723 3◦46.6 123◦42.3 -23◦24.3 168◦32.0 -5◦48.7 38◦35.1 -15◦07.9 54◦17.0 -19◦20.7Mer.pass.:22:44 v-0.4 d-0.7 m-4.1 v0.9 d-0.7 m1.7 v2.5 d-0.0 m-2.5 v2.5 d-0.0 m0.5

StarsSHA Dec

Alpheratz 357◦37.2 29◦12.7Ankaa 353◦09.4 -42◦11.3

Schedar 349◦33.5 56◦39.4Diphda 348◦49.6 -17◦52.0

Achernar 335◦21.7 -57◦07.6Hamal 327◦53.9 23◦33.9Polaris 314◦52.6 89◦21.1Akamar 315◦13.5 -40◦12.9Menkar 314◦08.7 4◦10.5Mirfak 308◦31.7 49◦56.2

Aldebaran 290◦42.5 16◦33.2Rigel 281◦06.3 -8◦10.5

Capella 280◦25.7 46◦01.1Bellatrix 278◦25.6 6◦22.2Elnath 278◦05.1 28◦37.5Alnilam 275◦40.3 -1◦11.2

Betelgeuse 270◦54.9 7◦24.7Canopus 263◦53.5 -52◦42.1

Sirius 258◦28.5 -16◦44.4Adara 255◦07.9 -28◦59.8

Procyon 244◦53.6 5◦10.4Pollux 243◦20.5 27◦58.4Avior 234◦16.0 -59◦34.3Suhail 222◦48.5 -43◦30.9

Miaplacidus 221◦39.2 -69◦48.0Alphard 217◦50.6 -8◦44.9Regulus 207◦37.5 11◦51.8Dubhe 193◦44.9 61◦38.0

Denebola 182◦27.9 14◦27.2Gienah 175◦46.6 -17◦39.5Acrux 173◦03.7 -63◦13.0

Gacrux 171◦55.2 -57◦13.9Alioth 166◦16.0 55◦50.7Spica 158◦25.4 -11◦16.2Alcaid 152◦54.6 49◦12.5Hadar 148◦40.4 -60◦28.6

Menkent 148◦01.2 -36◦28.5Arcturus 145◦50.6 19◦04.7

Rigil Kent. 139◦44.6 -60◦55.4Zubenelg. 136◦59.3 -16◦07.7Kochab 137◦20.9 74◦04.2

Alphecca 126◦06.3 26◦38.8Antares 112◦19.3 -26◦28.7

Atria 107◦16.3 -69◦04.1Sabik 102◦06.0 -15◦45.0

Shaula 96◦14.2 -37◦07.2Rasalhague 96◦01.2 12◦32.9

Etamin 90◦43.6 51◦29.5Kaus Aust. 83◦36.1 -34◦22.5

Vega 80◦35.1 38◦48.5Nunki 75◦51.1 -26◦16.2Altair 62◦02.6 8◦55.6

Peacock 53◦09.8 -56◦40.1Deneb 49◦27.4 45◦21.7

Enif 33◦41.2 9◦58.6Alnair 27◦36.0 -46◦51.5

Fomalhaut 15◦17.3 -29◦30.5Scheat 13◦47.5 28◦12.1Markab 13◦32.3 15◦19.4

2021/10/ SHA Mer.passVenus 123◦19.2 14:44Mars 166◦33.2 11:50

Jupiter 34◦42.8 20:34Saturn 50◦29.6 19:31

2021/10/ SHA Mer.passVenus 122◦10.5 14:44Mars 165◦56.8 11:48

Jupiter 34◦44.9 20:30Saturn 50◦30.0 19:27

2021/10/ SHA Mer.passVenus 121◦01.7 14:45Mars 165◦20.4 11:47

Jupiter 34◦46.9 20:26Saturn 50◦30.3 19:23

Horizontal paralaxVenus: 0.2Mars: 0.1

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2021 October 07 to Oct. 09

h Sun MoonThu GHA Dec GHA ν Dec d HP0 183◦01.6 -5◦30.0 174◦57.4 10.4 -5◦07.8 -15.8 60.01 198◦01.7 -5◦31.0 189◦26.8 10.4 -5◦23.6 -15.8 60.02 213◦01.9 -5◦31.9 203◦56.2 10.3 -5◦39.4 -15.8 60.03 228◦02.1 -5◦32.9 218◦25.5 10.3 -5◦55.2 -15.8 60.04 243◦02.3 -5◦33.9 232◦54.7 10.2 -6◦10.9 -15.7 60.05 258◦02.5 -5◦34.8 247◦24.0 10.2 -6◦26.6 -15.7 60.16 273◦02.6 -5◦35.8 261◦53.1 10.1 -6◦42.3 -15.7 60.17 288◦02.8 -5◦36.7 276◦22.3 10.1 -6◦58.0 -15.7 60.18 303◦03.0 -5◦37.7 290◦51.3 10.0 -7◦13.6 -15.6 60.19 318◦03.2 -5◦38.6 305◦20.4 10.0 -7◦29.2 -15.6 60.110 333◦03.3 -5◦39.6 319◦49.3 9.9 -7◦44.8 -15.5 60.111 348◦03.5 -5◦40.5 334◦18.2 9.9 -8◦00.3 -15.5 60.112 3◦03.7 -5◦41.5 348◦47.1 9.8 -8◦15.8 -15.5 60.213 18◦03.9 -5◦42.5 3◦15.9 9.8 -8◦31.3 -15.4 60.214 33◦04.1 -5◦43.4 17◦44.6 9.7 -8◦46.7 -15.4 60.215 48◦04.2 -5◦44.4 32◦13.3 9.7 -9◦02.0 -15.3 60.216 63◦04.4 -5◦45.3 46◦41.9 9.6 -9◦17.4 -15.3 60.217 78◦04.6 -5◦46.3 61◦10.5 9.5 -9◦32.6 -15.2 60.218 93◦04.8 -5◦47.2 75◦39.0 9.5 -9◦47.9 -15.2 60.219 108◦04.9 -5◦48.2 90◦07.4 9.4 -10◦03.0 -15.1 60.220 123◦05.1 -5◦49.1 104◦35.8 9.3 -10◦18.1 -15.1 60.221 138◦05.3 -5◦50.1 119◦04.1 9.3 -10◦33.2 -15.0 60.322 153◦05.5 -5◦51.0 133◦32.4 9.2 -10◦48.2 -15.0 60.323 168◦05.6 -5◦52.0 148◦00.6 9.2 -11◦03.1 -14.9 60.3

SD.=16.0 d=-1.0 S.D.=16.4

Fri GHA Dec GHA ν Dec d HP0 183◦05.8 -5◦53.0 162◦28.7 9.1 -11◦18.0 -14.8 60.31 198◦06.0 -5◦53.9 176◦56.8 9.0 -11◦32.8 -14.8 60.32 213◦06.2 -5◦54.9 191◦24.8 9.0 -11◦47.6 -14.7 60.33 228◦06.3 -5◦55.8 205◦52.7 8.9 -12◦02.3 -14.7 60.34 243◦06.5 -5◦56.8 220◦20.5 8.8 -12◦16.9 -14.6 60.35 258◦06.7 -5◦57.7 234◦48.3 8.8 -12◦31.4 -14.5 60.36 273◦06.9 -5◦58.7 249◦16.1 8.7 -12◦45.9 -14.4 60.37 288◦07.0 -5◦59.6 263◦43.7 8.6 -13◦00.3 -14.4 60.38 303◦07.2 -6◦00.6 278◦11.3 8.5 -13◦14.6 -14.3 60.39 318◦07.4 -6◦01.5 292◦38.8 8.5 -13◦28.9 -14.2 60.310 333◦07.6 -6◦02.5 307◦06.2 8.4 -13◦43.0 -14.1 60.311 348◦07.7 -6◦03.4 321◦33.6 8.3 -13◦57.1 -14.0 60.312 3◦07.9 -6◦04.4 336◦00.9 8.3 -14◦11.1 -14.0 60.313 18◦08.1 -6◦05.3 350◦28.1 8.2 -14◦25.0 -13.9 60.314 33◦08.3 -6◦06.3 4◦55.3 8.1 -14◦38.9 -13.8 60.315 48◦08.4 -6◦07.2 19◦22.3 8.0 -14◦52.6 -13.7 60.316 63◦08.6 -6◦08.2 33◦49.3 8.0 -15◦06.3 -13.6 60.317 78◦08.8 -6◦09.2 48◦16.3 7.9 -15◦19.8 -13.5 60.318 93◦08.9 -6◦10.1 62◦43.1 7.8 -15◦33.3 -13.4 60.319 108◦09.1 -6◦11.1 77◦09.9 7.7 -15◦46.7 -13.3 60.320 123◦09.3 -6◦12.0 91◦36.6 7.7 -15◦59.9 -13.2 60.321 138◦09.5 -6◦13.0 106◦03.2 7.6 -16◦13.1 -13.1 60.322 153◦09.6 -6◦13.9 120◦29.8 7.5 -16◦26.2 -13.0 60.323 168◦09.8 -6◦14.9 134◦56.2 7.4 -16◦39.1 -12.9 60.3

SD.=16.0 d=-1.0 S.D.=16.4

Sat GHA Dec GHA ν Dec d HP0 183◦10.0 -6◦15.8 149◦22.6 7.4 -16◦52.0 -12.8 60.31 198◦10.1 -6◦16.8 163◦49.0 7.3 -17◦04.7 -12.7 60.32 213◦10.3 -6◦17.7 178◦15.2 7.2 -17◦17.4 -12.6 60.33 228◦10.5 -6◦18.7 192◦41.4 7.1 -17◦29.9 -12.5 60.34 243◦10.7 -6◦19.6 207◦07.5 7.1 -17◦42.3 -12.4 60.35 258◦10.8 -6◦20.6 221◦33.5 7.0 -17◦54.6 -12.2 60.36 273◦11.0 -6◦21.5 235◦59.5 6.9 -18◦06.8 -12.1 60.37 288◦11.2 -6◦22.5 250◦25.3 6.8 -18◦18.9 -12.0 60.38 303◦11.3 -6◦23.4 264◦51.1 6.8 -18◦30.9 -11.9 60.39 318◦11.5 -6◦24.4 279◦16.8 6.7 -18◦42.7 -11.8 60.310 333◦11.7 -6◦25.3 293◦42.5 6.6 -18◦54.4 -11.6 60.311 348◦11.8 -6◦26.3 308◦08.0 6.5 -19◦06.0 -11.5 60.312 3◦12.0 -6◦27.2 322◦33.5 6.5 -19◦17.5 -11.4 60.313 18◦12.2 -6◦28.2 336◦59.0 6.4 -19◦28.8 -11.3 60.314 33◦12.3 -6◦29.1 351◦24.3 6.3 -19◦40.0 -11.1 60.315 48◦12.5 -6◦30.0 5◦49.6 6.2 -19◦51.1 -11.0 60.216 63◦12.7 -6◦31.0 20◦14.8 6.2 -20◦02.0 -10.9 60.217 78◦12.9 -6◦31.9 34◦39.9 6.1 -20◦12.8 -10.7 60.218 93◦13.0 -6◦32.9 49◦04.9 6.0 -20◦23.5 -10.6 60.219 108◦13.2 -6◦33.8 63◦29.9 5.9 -20◦34.0 -10.5 60.220 123◦13.4 -6◦34.8 77◦54.8 5.9 -20◦44.4 -10.3 60.221 138◦13.5 -6◦35.7 92◦19.7 5.8 -20◦54.7 -10.2 60.222 153◦13.7 -6◦36.7 106◦44.4 5.7 -21◦04.8 -10.0 60.223 168◦13.9 -6◦37.6 121◦09.1 5.7 -21◦14.8 -9.9 60.2

SD.=16.0 d=-1.0 S.D.=16.5

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 04:24 05:43 06:52 16:41 17:49 19:0870 04:32 05:43 06:44 16:49 17:50 19:0168 04:38 05:43 06:39 16:55 17:50 18:5566 04:43 05:42 06:34 16:60 17:51 18:5064 04:47 05:42 06:29 17:04 17:52 18:4662 04:50 05:41 06:26 17:08 17:52 18:4360 04:53 05:41 06:23 17:11 17:53 18:4158 04:55 05:40 06:20 17:14 17:53 18:3956 04:57 05:40 06:17 17:17 17:54 18:3754 04:59 05:40 06:15 17:19 17:54 18:3552 05:00 05:39 06:13 17:21 17:55 18:3450 05:01 05:39 06:11 17:23 17:55 18:3345 05:03 05:37 06:07 17:27 17:57 18:3140 05:05 05:36 06:03 17:31 17:58 18:2935 05:06 05:35 06:00 17:34 17:59 18:2930 05:06 05:34 05:58 17:37 18:01 18:2920 05:05 05:31 05:53 17:42 18:04 18:3010 05:03 05:27 05:48 17:46 18:08 18:320 04:59 05:23 05:44 17:51 18:12 18:36-10 04:54 05:19 05:40 17:55 18:16 18:41-20 04:47 05:13 05:35 17:60 18:22 18:48-30 04:37 05:06 05:30 18:06 18:30 18:58-35 04:31 05:01 05:27 18:09 18:35 19:05-40 04:23 04:56 05:23 18:13 18:40 19:13-45 04:13 04:49 05:19 18:17 18:47 19:23-50 04:01 04:41 05:14 18:22 18:55 19:36-52 03:55 04:37 05:11 18:25 18:59 19:42-54 03:48 04:32 05:09 18:27 19:04 19:49-56 03:40 04:27 05:06 18:30 19:09 19:57-58 03:31 04:22 05:03 18:34 19:15 20:06-60 03:21 04:16 04:59 18:37 19:21 20:17

Moonrise MoonsetLat. Thu Fri Sat Thu Fri Sat72 08:12 10:56 –:– 16:49 15:56 –:–70 08:00 10:25 14:04 17:03 16:29 14:4868 07:51 10:03 12:38 17:15 16:54 16:1666 07:43 09:45 11:60 17:25 17:13 16:5564 07:37 09:31 11:33 17:33 17:28 17:2362 07:31 09:20 11:13 17:40 17:41 17:4460 07:26 09:10 10:56 17:46 17:52 18:0258 07:22 09:01 10:42 17:52 18:02 18:1656 07:19 08:54 10:31 17:57 18:10 18:2954 07:15 08:47 10:20 18:01 18:18 18:4052 07:12 08:41 10:11 18:05 18:25 18:5050 07:10 08:36 10:03 18:09 18:31 18:5945 07:04 08:24 09:46 18:17 18:44 19:1740 06:59 08:14 09:31 18:24 18:55 19:3335 06:55 08:06 09:20 18:29 19:05 19:4630 06:51 07:59 09:09 18:35 19:13 19:5720 06:45 07:47 08:52 18:44 19:28 20:1610 06:39 07:37 08:36 18:51 19:41 20:340 06:34 07:27 08:22 18:59 19:53 20:50-10 06:29 07:17 08:08 19:06 20:05 21:06-20 06:24 07:07 07:53 19:14 20:18 21:23-30 06:18 06:55 07:36 19:23 20:32 21:43-35 06:15 06:48 07:26 19:29 20:41 21:55-40 06:11 06:41 07:15 19:35 20:51 22:08-45 06:06 06:32 07:02 19:42 21:03 22:24-50 06:01 06:22 06:46 19:50 21:17 22:44-52 05:59 06:17 06:39 19:54 21:23 22:53-54 05:56 06:12 06:31 19:58 21:31 23:04-56 05:53 06:06 06:22 20:03 21:39 23:16-58 05:50 05:59 06:11 20:09 21:48 23:30-60 05:47 05:52 05:60 20:15 21:59 23:46

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower7 12:06 12:15 11:47 12:46 00:20 1(2%)8 12:23 12:31 11:47 13:39 01:12 2(6%)9 12:40 12:48 11:47 14:35 02:07 3(13%)

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October 10, 11 ,12 (Sun., Mon., Tue.)Aries Venus Mars Jupiter Saturn

Sun GHA GHA Dec GHA Dec GHA Dec GHA Dec0 18◦49.0 138◦41.9 -23◦25.0 183◦32.9 -5◦49.4 53◦37.6 -15◦07.9 69◦19.5 -19◦20.71 33◦51.5 153◦41.5 -23◦25.7 198◦33.8 -5◦50.0 68◦40.2 -15◦07.9 84◦21.9 -19◦20.72 48◦54.0 168◦41.1 -23◦26.3 213◦34.8 -5◦50.7 83◦42.7 -15◦07.9 99◦24.4 -19◦20.73 63◦56.4 183◦40.7 -23◦27.0 228◦35.7 -5◦51.3 98◦45.2 -15◦08.0 114◦26.9 -19◦20.74 78◦58.9 198◦40.3 -23◦27.7 243◦36.7 -5◦52.0 113◦47.8 -15◦08.0 129◦29.3 -19◦20.75 94◦01.3 213◦39.8 -23◦28.4 258◦37.6 -5◦52.6 128◦50.3 -15◦08.0 144◦31.8 -19◦20.76 109◦03.8 228◦39.4 -23◦29.1 273◦38.6 -5◦53.3 143◦52.8 -15◦08.0 159◦34.3 -19◦20.77 124◦06.3 243◦39.0 -23◦29.7 288◦39.5 -5◦53.9 158◦55.4 -15◦08.0 174◦36.7 -19◦20.78 139◦08.7 258◦38.6 -23◦30.4 303◦40.4 -5◦54.6 173◦57.9 -15◦08.0 189◦39.2 -19◦20.79 154◦11.2 273◦38.2 -23◦31.1 318◦41.4 -5◦55.2 189◦00.4 -15◦08.1 204◦41.7 -19◦20.710 169◦13.7 288◦37.8 -23◦31.8 333◦42.3 -5◦55.9 204◦03.0 -15◦08.1 219◦44.1 -19◦20.711 184◦16.1 303◦37.4 -23◦32.4 348◦43.3 -5◦56.5 219◦05.5 -15◦08.1 234◦46.6 -19◦20.712 199◦18.6 318◦37.0 -23◦33.1 3◦44.2 -5◦57.2 234◦08.0 -15◦08.1 249◦49.1 -19◦20.713 214◦21.1 333◦36.6 -23◦33.8 18◦45.1 -5◦57.8 249◦10.5 -15◦08.1 264◦51.5 -19◦20.714 229◦23.5 348◦36.2 -23◦34.5 33◦46.1 -5◦58.5 264◦13.1 -15◦08.1 279◦54.0 -19◦20.715 244◦26.0 3◦35.8 -23◦35.1 48◦47.0 -5◦59.1 279◦15.6 -15◦08.2 294◦56.5 -19◦20.716 259◦28.5 18◦35.3 -23◦35.8 63◦48.0 -5◦59.8 294◦18.1 -15◦08.2 309◦58.9 -19◦20.717 274◦30.9 33◦34.9 -23◦36.5 78◦48.9 -6◦00.4 309◦20.7 -15◦08.2 325◦01.4 -19◦20.718 289◦33.4 48◦34.5 -23◦37.1 93◦49.8 -6◦01.1 324◦23.2 -15◦08.2 340◦03.9 -19◦20.719 304◦35.8 63◦34.1 -23◦37.8 108◦50.8 -6◦01.7 339◦25.7 -15◦08.2 355◦06.3 -19◦20.720 319◦38.3 78◦33.7 -23◦38.5 123◦51.7 -6◦02.4 354◦28.2 -15◦08.2 10◦08.8 -19◦20.721 334◦40.8 93◦33.3 -23◦39.1 138◦52.7 -6◦03.0 9◦30.8 -15◦08.2 25◦11.3 -19◦20.722 349◦43.2 108◦32.9 -23◦39.8 153◦53.6 -6◦03.7 24◦33.3 -15◦08.3 40◦13.7 -19◦20.723 4◦45.7 123◦32.5 -23◦40.5 168◦54.5 -6◦04.3 39◦35.8 -15◦08.3 55◦16.2 -19◦20.7Mer.pass.:22:41 v-0.4 d-0.7 m-4.1 v0.9 d-0.6 m1.7 v2.5 d-0.0 m-2.5 v2.5 d-0.0 m0.5

Mon GHA GHA Dec GHA Dec GHA Dec GHA Dec0 19◦48.2 138◦32.1 -23◦41.1 183◦55.5 -6◦04.9 54◦38.3 -15◦08.3 70◦18.7 -19◦20.71 34◦50.6 153◦31.7 -23◦41.8 198◦56.4 -6◦05.6 69◦40.9 -15◦08.3 85◦21.1 -19◦20.72 49◦53.1 168◦31.2 -23◦42.5 213◦57.4 -6◦06.2 84◦43.4 -15◦08.3 100◦23.6 -19◦20.73 64◦55.6 183◦30.8 -23◦43.1 228◦58.3 -6◦06.9 99◦45.9 -15◦08.3 115◦26.1 -19◦20.74 79◦58.0 198◦30.4 -23◦43.8 243◦59.2 -6◦07.5 114◦48.4 -15◦08.4 130◦28.5 -19◦20.75 95◦00.5 213◦30.0 -23◦44.4 259◦00.2 -6◦08.2 129◦51.0 -15◦08.4 145◦31.0 -19◦20.76 110◦03.0 228◦29.6 -23◦45.1 274◦01.1 -6◦08.8 144◦53.5 -15◦08.4 160◦33.5 -19◦20.77 125◦05.4 243◦29.2 -23◦45.7 289◦02.0 -6◦09.5 159◦56.0 -15◦08.4 175◦35.9 -19◦20.78 140◦07.9 258◦28.8 -23◦46.4 304◦03.0 -6◦10.1 174◦58.5 -15◦08.4 190◦38.4 -19◦20.79 155◦10.3 273◦28.4 -23◦47.0 319◦03.9 -6◦10.8 190◦01.1 -15◦08.4 205◦40.8 -19◦20.710 170◦12.8 288◦28.0 -23◦47.7 334◦04.9 -6◦11.4 205◦03.6 -15◦08.4 220◦43.3 -19◦20.711 185◦15.3 303◦27.5 -23◦48.4 349◦05.8 -6◦12.1 220◦06.1 -15◦08.5 235◦45.8 -19◦20.712 200◦17.7 318◦27.1 -23◦49.0 4◦06.7 -6◦12.7 235◦08.6 -15◦08.5 250◦48.2 -19◦20.713 215◦20.2 333◦26.7 -23◦49.7 19◦07.7 -6◦13.4 250◦11.1 -15◦08.5 265◦50.7 -19◦20.714 230◦22.7 348◦26.3 -23◦50.3 34◦08.6 -6◦14.0 265◦13.7 -15◦08.5 280◦53.2 -19◦20.715 245◦25.1 3◦25.9 -23◦50.9 49◦09.6 -6◦14.7 280◦16.2 -15◦08.5 295◦55.6 -19◦20.716 260◦27.6 18◦25.5 -23◦51.6 64◦10.5 -6◦15.3 295◦18.7 -15◦08.5 310◦58.1 -19◦20.717 275◦30.1 33◦25.1 -23◦52.2 79◦11.4 -6◦16.0 310◦21.2 -15◦08.5 326◦00.5 -19◦20.718 290◦32.5 48◦24.7 -23◦52.9 94◦12.4 -6◦16.6 325◦23.7 -15◦08.5 341◦03.0 -19◦20.719 305◦35.0 63◦24.3 -23◦53.5 109◦13.3 -6◦17.3 340◦26.3 -15◦08.6 356◦05.5 -19◦20.720 320◦37.5 78◦23.8 -23◦54.2 124◦14.2 -6◦17.9 355◦28.8 -15◦08.6 11◦07.9 -19◦20.721 335◦39.9 93◦23.4 -23◦54.8 139◦15.2 -6◦18.6 10◦31.3 -15◦08.6 26◦10.4 -19◦20.722 350◦42.4 108◦23.0 -23◦55.5 154◦16.1 -6◦19.2 25◦33.8 -15◦08.6 41◦12.8 -19◦20.723 5◦44.8 123◦22.6 -23◦56.1 169◦17.0 -6◦19.9 40◦36.3 -15◦08.6 56◦15.3 -19◦20.7Mer.pass.:22:37 v-0.4 d-0.7 m-4.1 v0.9 d-0.6 m1.7 v2.5 d-0.0 m-2.5 v2.5 d0.0 m0.5

Tue GHA GHA Dec GHA Dec GHA Dec GHA Dec0 20◦47.3 138◦22.2 -23◦56.7 184◦18.0 -6◦20.5 55◦38.8 -15◦08.6 71◦17.8 -19◦20.71 35◦49.8 153◦21.8 -23◦57.4 199◦18.9 -6◦21.2 70◦41.4 -15◦08.6 86◦20.2 -19◦20.72 50◦52.2 168◦21.4 -23◦58.0 214◦19.9 -6◦21.8 85◦43.9 -15◦08.6 101◦22.7 -19◦20.73 65◦54.7 183◦21.0 -23◦58.6 229◦20.8 -6◦22.4 100◦46.4 -15◦08.7 116◦25.1 -19◦20.74 80◦57.2 198◦20.5 -23◦59.3 244◦21.7 -6◦23.1 115◦48.9 -15◦08.7 131◦27.6 -19◦20.75 95◦59.6 213◦20.1 -23◦59.9 259◦22.7 -6◦23.7 130◦51.4 -15◦08.7 146◦30.1 -19◦20.76 111◦02.1 228◦19.7 -24◦00.5 274◦23.6 -6◦24.4 145◦53.9 -15◦08.7 161◦32.5 -19◦20.77 126◦04.6 243◦19.3 -24◦01.2 289◦24.5 -6◦25.0 160◦56.5 -15◦08.7 176◦35.0 -19◦20.78 141◦07.0 258◦18.9 -24◦01.8 304◦25.5 -6◦25.7 175◦59.0 -15◦08.7 191◦37.4 -19◦20.79 156◦09.5 273◦18.5 -24◦02.4 319◦26.4 -6◦26.3 191◦01.5 -15◦08.7 206◦39.9 -19◦20.710 171◦12.0 288◦18.1 -24◦03.1 334◦27.3 -6◦27.0 206◦04.0 -15◦08.7 221◦42.4 -19◦20.711 186◦14.4 303◦17.7 -24◦03.7 349◦28.3 -6◦27.6 221◦06.5 -15◦08.7 236◦44.8 -19◦20.612 201◦16.9 318◦17.2 -24◦04.3 4◦29.2 -6◦28.3 236◦09.0 -15◦08.8 251◦47.3 -19◦20.613 216◦19.3 333◦16.8 -24◦05.0 19◦30.1 -6◦28.9 251◦11.5 -15◦08.8 266◦49.7 -19◦20.614 231◦21.8 348◦16.4 -24◦05.6 34◦31.1 -6◦29.6 266◦14.0 -15◦08.8 281◦52.2 -19◦20.615 246◦24.3 3◦16.0 -24◦06.2 49◦32.0 -6◦30.2 281◦16.6 -15◦08.8 296◦54.7 -19◦20.616 261◦26.7 18◦15.6 -24◦06.8 64◦33.0 -6◦30.9 296◦19.1 -15◦08.8 311◦57.1 -19◦20.617 276◦29.2 33◦15.2 -24◦07.5 79◦33.9 -6◦31.5 311◦21.6 -15◦08.8 326◦59.6 -19◦20.618 291◦31.7 48◦14.8 -24◦08.1 94◦34.8 -6◦32.1 326◦24.1 -15◦08.8 342◦02.0 -19◦20.619 306◦34.1 63◦14.3 -24◦08.7 109◦35.8 -6◦32.8 341◦26.6 -15◦08.8 357◦04.5 -19◦20.620 321◦36.6 78◦13.9 -24◦09.3 124◦36.7 -6◦33.4 356◦29.1 -15◦08.8 12◦06.9 -19◦20.621 336◦39.1 93◦13.5 -24◦09.9 139◦37.6 -6◦34.1 11◦31.6 -15◦08.9 27◦09.4 -19◦20.622 351◦41.5 108◦13.1 -24◦10.5 154◦38.6 -6◦34.7 26◦34.1 -15◦08.9 42◦11.9 -19◦20.623 6◦44.0 123◦12.7 -24◦11.2 169◦39.5 -6◦35.4 41◦36.6 -15◦08.9 57◦14.3 -19◦20.6Mer.pass.:22:33 v-0.4 d-0.6 m-4.2 v0.9 d-0.6 m1.7 v2.5 d-0.0 m-2.5 v2.5 d0.0 m0.5

StarsSHA Dec

Alpheratz 357◦37.2 29◦12.7Ankaa 353◦09.4 -42◦11.3

Schedar 349◦33.5 56◦39.4Diphda 348◦49.6 -17◦52.0

Achernar 335◦21.7 -57◦07.6Hamal 327◦53.9 23◦33.9Polaris 314◦51.5 89◦21.2Akamar 315◦13.4 -40◦12.9Menkar 314◦08.7 4◦10.5Mirfak 308◦31.6 49◦56.2

Aldebaran 290◦42.5 16◦33.2Rigel 281◦06.3 -8◦10.5

Capella 280◦25.6 46◦01.1Bellatrix 278◦25.6 6◦22.2Elnath 278◦05.1 28◦37.5Alnilam 275◦40.3 -1◦11.2

Betelgeuse 270◦54.9 7◦24.7Canopus 263◦53.4 -52◦42.1

Sirius 258◦28.4 -16◦44.4Adara 255◦07.9 -28◦59.8

Procyon 244◦53.6 5◦10.4Pollux 243◦20.5 27◦58.4Avior 234◦16.0 -59◦34.3Suhail 222◦48.4 -43◦30.9

Miaplacidus 221◦39.2 -69◦48.0Alphard 217◦50.5 -8◦44.9Regulus 207◦37.5 11◦51.8Dubhe 193◦44.9 61◦38.0

Denebola 182◦27.9 14◦27.2Gienah 175◦46.6 -17◦39.5Acrux 173◦03.7 -63◦12.9

Gacrux 171◦55.2 -57◦13.9Alioth 166◦16.0 55◦50.6Spica 158◦25.4 -11◦16.3Alcaid 152◦54.6 49◦12.5Hadar 148◦40.4 -60◦28.5

Menkent 148◦01.2 -36◦28.4Arcturus 145◦50.6 19◦04.7

Rigil Kent. 139◦44.6 -60◦55.4Zubenelg. 136◦59.3 -16◦07.7Kochab 137◦20.9 74◦04.2

Alphecca 126◦06.3 26◦38.8Antares 112◦19.4 -26◦28.7

Atria 107◦16.3 -69◦04.1Sabik 102◦06.0 -15◦45.0

Shaula 96◦14.2 -37◦07.2Rasalhague 96◦01.2 12◦32.9

Etamin 90◦43.6 51◦29.5Kaus Aust. 83◦36.1 -34◦22.5

Vega 80◦35.1 38◦48.5Nunki 75◦51.1 -26◦16.2Altair 62◦02.6 8◦55.6

Peacock 53◦09.8 -56◦40.1Deneb 49◦27.4 45◦21.7

Enif 33◦41.2 9◦58.6Alnair 27◦36.0 -46◦51.5

Fomalhaut 15◦17.3 -29◦30.5Scheat 13◦47.5 28◦12.1Markab 13◦32.3 15◦19.4

2021/10/ SHA Mer.passVenus 119◦52.9 14:46Mars 164◦43.9 11:45

Jupiter 34◦48.6 20:22Saturn 50◦30.4 19:20

2021/10/ SHA Mer.passVenus 118◦43.9 14:46Mars 164◦07.3 11:44

Jupiter 34◦50.2 20:18Saturn 50◦30.5 19:16

2021/10/ SHA Mer.passVenus 117◦34.9 14:47Mars 163◦30.7 11:42

Jupiter 34◦51.5 20:14Saturn 50◦30.5 19:12

Horizontal paralaxVenus: 0.2Mars: 0.1

190

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2021 October 10 to Oct. 12

h Sun MoonSun GHA Dec GHA ν Dec d HP0 183◦14.0 -6◦38.6 135◦33.8 5.6 -21◦24.6 -9.8 60.21 198◦14.2 -6◦39.5 149◦58.3 5.5 -21◦34.3 -9.6 60.22 213◦14.4 -6◦40.5 164◦22.8 5.5 -21◦43.8 -9.5 60.13 228◦14.5 -6◦41.4 178◦47.3 5.4 -21◦53.2 -9.3 60.14 243◦14.7 -6◦42.4 193◦11.6 5.3 -22◦02.4 -9.2 60.15 258◦14.9 -6◦43.3 207◦35.9 5.3 -22◦11.5 -9.0 60.16 273◦15.0 -6◦44.3 222◦00.2 5.2 -22◦20.5 -8.9 60.17 288◦15.2 -6◦45.2 236◦24.3 5.1 -22◦29.2 -8.7 60.18 303◦15.3 -6◦46.1 250◦48.5 5.1 -22◦37.9 -8.5 60.19 318◦15.5 -6◦47.1 265◦12.5 5.0 -22◦46.3 -8.4 60.010 333◦15.7 -6◦48.0 279◦36.5 5.0 -22◦54.6 -8.2 60.011 348◦15.8 -6◦49.0 294◦00.5 4.9 -23◦02.8 -8.1 60.012 3◦16.0 -6◦49.9 308◦24.4 4.9 -23◦10.8 -7.9 60.013 18◦16.2 -6◦50.9 322◦48.2 4.8 -23◦18.6 -7.7 60.014 33◦16.3 -6◦51.8 337◦12.0 4.8 -23◦26.3 -7.6 60.015 48◦16.5 -6◦52.8 351◦35.7 4.7 -23◦33.8 -7.4 60.016 63◦16.7 -6◦53.7 5◦59.4 4.7 -23◦41.1 -7.3 59.917 78◦16.8 -6◦54.6 20◦23.0 4.6 -23◦48.3 -7.1 59.918 93◦17.0 -6◦55.6 34◦46.6 4.6 -23◦55.3 -6.9 59.919 108◦17.1 -6◦56.5 49◦10.1 4.5 -24◦02.1 -6.8 59.920 123◦17.3 -6◦57.5 63◦33.6 4.5 -24◦08.8 -6.6 59.921 138◦17.5 -6◦58.4 77◦57.1 4.4 -24◦15.3 -6.4 59.922 153◦17.6 -6◦59.4 92◦20.5 4.4 -24◦21.6 -6.2 59.823 168◦17.8 -7◦00.3 106◦43.8 4.4 -24◦27.8 -6.1 59.8

SD.=16.0 d=-0.9 S.D.=16.4

Mon GHA Dec GHA ν Dec d HP0 183◦18.0 -7◦01.3 121◦07.2 4.3 -24◦33.8 -5.9 59.81 198◦18.1 -7◦02.2 135◦30.5 4.3 -24◦39.6 -5.7 59.82 213◦18.3 -7◦03.1 149◦53.7 4.2 -24◦45.3 -5.6 59.83 228◦18.4 -7◦04.1 164◦17.0 4.2 -24◦50.7 -5.4 59.84 243◦18.6 -7◦05.0 178◦40.2 4.2 -24◦56.0 -5.2 59.75 258◦18.8 -7◦06.0 193◦03.3 4.2 -25◦01.2 -5.0 59.76 273◦18.9 -7◦06.9 207◦26.5 4.1 -25◦06.1 -4.9 59.77 288◦19.1 -7◦07.8 221◦49.6 4.1 -25◦10.9 -4.7 59.78 303◦19.2 -7◦08.8 236◦12.7 4.1 -25◦15.5 -4.5 59.79 318◦19.4 -7◦09.7 250◦35.8 4.1 -25◦19.9 -4.3 59.610 333◦19.6 -7◦10.7 264◦58.8 4.0 -25◦24.1 -4.2 59.611 348◦19.7 -7◦11.6 279◦21.9 4.0 -25◦28.2 -4.0 59.612 3◦19.9 -7◦12.6 293◦44.9 4.0 -25◦32.1 -3.8 59.613 18◦20.0 -7◦13.5 308◦07.9 4.0 -25◦35.8 -3.6 59.614 33◦20.2 -7◦14.4 322◦30.9 4.0 -25◦39.3 -3.4 59.515 48◦20.4 -7◦15.4 336◦53.9 4.0 -25◦42.7 -3.3 59.516 63◦20.5 -7◦16.3 351◦16.9 4.0 -25◦45.8 -3.1 59.517 78◦20.7 -7◦17.3 5◦39.8 4.0 -25◦48.8 -2.9 59.518 93◦20.8 -7◦18.2 20◦02.8 4.0 -25◦51.6 -2.7 59.519 108◦21.0 -7◦19.1 34◦25.8 4.0 -25◦54.3 -2.5 59.420 123◦21.1 -7◦20.1 48◦48.8 4.0 -25◦56.7 -2.4 59.421 138◦21.3 -7◦21.0 63◦11.8 4.0 -25◦59.0 -2.2 59.422 153◦21.5 -7◦22.0 77◦34.7 4.0 -26◦01.1 -2.0 59.423 168◦21.6 -7◦22.9 91◦57.7 4.0 -26◦03.0 -1.8 59.4

SD.=16.0 d=-0.9 S.D.=16.3

Tue GHA Dec GHA ν Dec d HP0 183◦21.8 -7◦23.8 106◦20.7 4.0 -26◦04.7 -1.6 59.31 198◦21.9 -7◦24.8 120◦43.8 4.0 -26◦06.2 -1.5 59.32 213◦22.1 -7◦25.7 135◦06.8 4.0 -26◦07.6 -1.3 59.33 228◦22.2 -7◦26.6 149◦29.8 4.1 -26◦08.8 -1.1 59.34 243◦22.4 -7◦27.6 163◦52.9 4.1 -26◦09.8 -0.9 59.25 258◦22.6 -7◦28.5 178◦16.0 4.1 -26◦10.6 -0.7 59.26 273◦22.7 -7◦29.5 192◦39.1 4.1 -26◦11.3 -0.6 59.27 288◦22.9 -7◦30.4 207◦02.2 4.1 -26◦11.8 -0.4 59.28 303◦23.0 -7◦31.3 221◦25.4 4.2 -26◦12.0 -0.2 59.29 318◦23.2 -7◦32.3 235◦48.6 4.2 -26◦12.2 -0.0 59.110 333◦23.3 -7◦33.2 250◦11.8 4.2 -26◦12.1 0.2 59.111 348◦23.5 -7◦34.1 264◦35.1 4.3 -26◦11.9 0.3 59.112 3◦23.6 -7◦35.1 278◦58.4 4.3 -26◦11.4 0.5 59.113 18◦23.8 -7◦36.0 293◦21.7 4.3 -26◦10.9 0.7 59.014 33◦23.9 -7◦37.0 307◦45.1 4.4 -26◦10.1 0.9 59.015 48◦24.1 -7◦37.9 322◦08.5 4.4 -26◦09.1 1.0 59.016 63◦24.3 -7◦38.8 336◦31.9 4.5 -26◦08.0 1.2 59.017 78◦24.4 -7◦39.8 350◦55.4 4.5 -26◦06.7 1.4 58.918 93◦24.6 -7◦40.7 5◦19.0 4.6 -26◦05.3 1.6 58.919 108◦24.7 -7◦41.6 19◦42.6 4.6 -26◦03.6 1.7 58.920 123◦24.9 -7◦42.6 34◦06.2 4.7 -26◦01.8 1.9 58.921 138◦25.0 -7◦43.5 48◦29.9 4.7 -25◦59.8 2.1 58.822 153◦25.2 -7◦44.4 62◦53.6 4.8 -25◦57.7 2.2 58.823 168◦25.3 -7◦45.4 77◦17.4 4.8 -25◦55.4 2.4 58.8

SD.=16.0 d=-0.9 S.D.=16.2

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 04:38 05:57 07:06 16:26 17:34 18:5270 04:44 05:55 06:57 16:35 17:37 18:4768 04:49 05:53 06:50 16:42 17:38 18:4366 04:52 05:52 06:43 16:48 17:40 18:3964 04:55 05:50 06:38 16:54 17:42 18:3662 04:58 05:49 06:34 16:58 17:43 18:3460 04:60 05:48 06:30 17:02 17:44 18:3258 05:02 05:47 06:26 17:06 17:45 18:3056 05:03 05:46 06:23 17:09 17:46 18:2954 05:04 05:45 06:21 17:12 17:47 18:2852 05:05 05:44 06:18 17:14 17:48 18:2750 05:06 05:43 06:16 17:17 17:49 18:2645 05:07 05:41 06:11 17:22 17:51 18:2540 05:08 05:39 06:06 17:26 17:53 18:2535 05:08 05:37 06:03 17:30 17:56 18:2530 05:08 05:35 05:59 17:34 17:58 18:2520 05:06 05:31 05:54 17:39 18:02 18:2710 05:03 05:27 05:48 17:45 18:06 18:300 04:58 05:23 05:43 17:50 18:11 18:35-10 04:52 05:17 05:38 17:55 18:16 18:41-20 04:45 05:11 05:33 18:01 18:23 18:49-30 04:34 05:02 05:26 18:07 18:32 19:00-35 04:27 04:57 05:23 18:11 18:37 19:08-40 04:18 04:51 05:18 18:16 18:43 19:16-45 04:07 04:43 05:13 18:21 18:51 19:27-50 03:54 04:34 05:07 18:27 19:01 19:41-52 03:47 04:30 05:05 18:30 19:05 19:48-54 03:39 04:25 05:01 18:33 19:10 19:56-56 03:31 04:19 04:58 18:37 19:16 20:04-58 03:21 04:13 04:54 18:41 19:22 20:15-60 03:09 04:06 04:50 18:45 19:29 20:26

Moonrise MoonsetLat. Sun Mon Tue Sun Mon Tue72 –:– –:– –:– –:– –:– –:–70 –:– –:– –:– –:– –:– –:–68 –:– –:– –:– –:– –:– –:–66 14:56 –:– –:– 16:03 –:– –:–64 13:44 16:18 –:– 17:16 16:51 –:–62 13:08 14:55 16:07 17:52 18:14 19:1160 12:43 14:19 15:28 18:18 18:50 19:5058 12:23 13:52 15:01 18:39 19:17 20:1756 12:06 13:32 14:39 18:56 19:38 20:3854 11:52 13:15 14:22 19:11 19:55 20:5652 11:39 13:00 14:06 19:23 20:10 21:1150 11:29 12:47 13:53 19:35 20:23 21:2445 11:06 12:21 13:26 19:58 20:49 21:5040 10:48 12:01 13:05 20:17 21:10 22:1235 10:33 11:43 12:47 20:33 21:28 22:2930 10:20 11:28 12:32 20:47 21:43 22:4420 09:58 11:03 12:06 21:10 22:08 23:1010 09:38 10:42 11:44 21:30 22:30 23:320 09:21 10:22 11:23 21:50 22:51 23:52-10 09:03 10:02 11:03 22:09 23:12 –:–-20 08:44 09:40 10:40 22:29 23:34 –:–-30 08:23 09:16 10:15 22:53 23:59 –:–-35 08:10 09:01 09:59 23:07 –:– 00:15-40 07:56 08:44 09:42 23:23 –:– 00:32-45 07:39 08:24 09:21 23:42 –:– 00:53-50 07:18 07:60 08:54 –:– 00:07 01:20-52 07:08 07:48 08:41 –:– 00:18 01:32-54 06:57 07:34 08:26 –:– 00:32 01:47-56 06:44 07:18 08:09 –:– 00:47 02:05-58 06:30 06:59 07:48 –:– 01:06 02:26-60 06:13 06:36 07:21 –:– 01:28 02:52

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower10 12:56 13:04 11:46 15:35 03:05 4(21%)11 13:12 13:19 11:46 16:36 04:05 5(32%)12 13:27 13:34 11:46 17:37 05:07 6(43%)

191

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October 13, 14 ,15 (Wed., Thu., Fri.)Aries Venus Mars Jupiter Saturn

Wed GHA GHA Dec GHA Dec GHA Dec GHA Dec0 21◦46.4 138◦12.3 -24◦11.8 184◦40.4 -6◦36.0 56◦39.2 -15◦08.9 72◦16.8 -19◦20.61 36◦48.9 153◦11.9 -24◦12.4 199◦41.4 -6◦36.7 71◦41.7 -15◦08.9 87◦19.2 -19◦20.62 51◦51.4 168◦11.4 -24◦13.0 214◦42.3 -6◦37.3 86◦44.2 -15◦08.9 102◦21.7 -19◦20.63 66◦53.8 183◦11.0 -24◦13.6 229◦43.2 -6◦38.0 101◦46.7 -15◦08.9 117◦24.1 -19◦20.64 81◦56.3 198◦10.6 -24◦14.2 244◦44.2 -6◦38.6 116◦49.2 -15◦08.9 132◦26.6 -19◦20.65 96◦58.8 213◦10.2 -24◦14.8 259◦45.1 -6◦39.3 131◦51.7 -15◦08.9 147◦29.0 -19◦20.66 112◦01.2 228◦09.8 -24◦15.5 274◦46.0 -6◦39.9 146◦54.2 -15◦08.9 162◦31.5 -19◦20.67 127◦03.7 243◦09.4 -24◦16.1 289◦47.0 -6◦40.5 161◦56.7 -15◦08.9 177◦34.0 -19◦20.68 142◦06.2 258◦09.0 -24◦16.7 304◦47.9 -6◦41.2 176◦59.2 -15◦09.0 192◦36.4 -19◦20.69 157◦08.6 273◦08.5 -24◦17.3 319◦48.8 -6◦41.8 192◦01.7 -15◦09.0 207◦38.9 -19◦20.610 172◦11.1 288◦08.1 -24◦17.9 334◦49.8 -6◦42.5 207◦04.2 -15◦09.0 222◦41.3 -19◦20.611 187◦13.6 303◦07.7 -24◦18.5 349◦50.7 -6◦43.1 222◦06.7 -15◦09.0 237◦43.8 -19◦20.612 202◦16.0 318◦07.3 -24◦19.1 4◦51.6 -6◦43.8 237◦09.2 -15◦09.0 252◦46.2 -19◦20.613 217◦18.5 333◦06.9 -24◦19.7 19◦52.6 -6◦44.4 252◦11.7 -15◦09.0 267◦48.7 -19◦20.614 232◦20.9 348◦06.5 -24◦20.3 34◦53.5 -6◦45.1 267◦14.2 -15◦09.0 282◦51.1 -19◦20.615 247◦23.4 3◦06.1 -24◦20.9 49◦54.4 -6◦45.7 282◦16.7 -15◦09.0 297◦53.6 -19◦20.616 262◦25.9 18◦05.6 -24◦21.5 64◦55.3 -6◦46.4 297◦19.2 -15◦09.0 312◦56.0 -19◦20.617 277◦28.3 33◦05.2 -24◦22.1 79◦56.3 -6◦47.0 312◦21.8 -15◦09.0 327◦58.5 -19◦20.618 292◦30.8 48◦04.8 -24◦22.7 94◦57.2 -6◦47.6 327◦24.3 -15◦09.0 343◦00.9 -19◦20.619 307◦33.3 63◦04.4 -24◦23.3 109◦58.1 -6◦48.3 342◦26.8 -15◦09.0 358◦03.4 -19◦20.620 322◦35.7 78◦04.0 -24◦23.9 124◦59.1 -6◦48.9 357◦29.3 -15◦09.0 13◦05.8 -19◦20.621 337◦38.2 93◦03.6 -24◦24.5 140◦00.0 -6◦49.6 12◦31.8 -15◦09.1 28◦08.3 -19◦20.622 352◦40.7 108◦03.2 -24◦25.1 155◦00.9 -6◦50.2 27◦34.3 -15◦09.1 43◦10.8 -19◦20.623 7◦43.1 123◦02.7 -24◦25.7 170◦01.9 -6◦50.9 42◦36.8 -15◦09.1 58◦13.2 -19◦20.6Mer.pass.:22:29 v-0.4 d-0.6 m-4.2 v0.9 d-0.6 m1.7 v2.5 d-0.0 m-2.5 v2.5 d0.0 m0.5

Thu GHA GHA Dec GHA Dec GHA Dec GHA Dec0 22◦45.6 138◦02.3 -24◦26.3 185◦02.8 -6◦51.5 57◦39.3 -15◦09.1 73◦15.7 -19◦20.61 37◦48.1 153◦01.9 -24◦26.9 200◦03.7 -6◦52.2 72◦41.8 -15◦09.1 88◦18.1 -19◦20.62 52◦50.5 168◦01.5 -24◦27.4 215◦04.7 -6◦52.8 87◦44.3 -15◦09.1 103◦20.6 -19◦20.63 67◦53.0 183◦01.1 -24◦28.0 230◦05.6 -6◦53.4 102◦46.8 -15◦09.1 118◦23.0 -19◦20.64 82◦55.4 198◦00.7 -24◦28.6 245◦06.5 -6◦54.1 117◦49.3 -15◦09.1 133◦25.5 -19◦20.55 97◦57.9 213◦00.3 -24◦29.2 260◦07.4 -6◦54.7 132◦51.8 -15◦09.1 148◦27.9 -19◦20.56 113◦00.4 227◦59.8 -24◦29.8 275◦08.4 -6◦55.4 147◦54.3 -15◦09.1 163◦30.4 -19◦20.57 128◦02.8 242◦59.4 -24◦30.4 290◦09.3 -6◦56.0 162◦56.8 -15◦09.1 178◦32.8 -19◦20.58 143◦05.3 257◦59.0 -24◦31.0 305◦10.2 -6◦56.7 177◦59.3 -15◦09.1 193◦35.3 -19◦20.59 158◦07.8 272◦58.6 -24◦31.5 320◦11.2 -6◦57.3 193◦01.8 -15◦09.1 208◦37.7 -19◦20.510 173◦10.2 287◦58.2 -24◦32.1 335◦12.1 -6◦57.9 208◦04.3 -15◦09.1 223◦40.2 -19◦20.511 188◦12.7 302◦57.8 -24◦32.7 350◦13.0 -6◦58.6 223◦06.8 -15◦09.1 238◦42.6 -19◦20.512 203◦15.2 317◦57.3 -24◦33.3 5◦14.0 -6◦59.2 238◦09.2 -15◦09.1 253◦45.1 -19◦20.513 218◦17.6 332◦56.9 -24◦33.9 20◦14.9 -6◦59.9 253◦11.7 -15◦09.2 268◦47.5 -19◦20.514 233◦20.1 347◦56.5 -24◦34.4 35◦15.8 -7◦00.5 268◦14.2 -15◦09.2 283◦50.0 -19◦20.515 248◦22.6 2◦56.1 -24◦35.0 50◦16.7 -7◦01.2 283◦16.7 -15◦09.2 298◦52.4 -19◦20.516 263◦25.0 17◦55.7 -24◦35.6 65◦17.7 -7◦01.8 298◦19.2 -15◦09.2 313◦54.9 -19◦20.517 278◦27.5 32◦55.3 -24◦36.2 80◦18.6 -7◦02.5 313◦21.7 -15◦09.2 328◦57.3 -19◦20.518 293◦29.9 47◦54.9 -24◦36.7 95◦19.5 -7◦03.1 328◦24.2 -15◦09.2 343◦59.8 -19◦20.519 308◦32.4 62◦54.4 -24◦37.3 110◦20.5 -7◦03.7 343◦26.7 -15◦09.2 359◦02.2 -19◦20.520 323◦34.9 77◦54.0 -24◦37.9 125◦21.4 -7◦04.4 358◦29.2 -15◦09.2 14◦04.7 -19◦20.521 338◦37.3 92◦53.6 -24◦38.5 140◦22.3 -7◦05.0 13◦31.7 -15◦09.2 29◦07.1 -19◦20.522 353◦39.8 107◦53.2 -24◦39.0 155◦23.2 -7◦05.7 28◦34.2 -15◦09.2 44◦09.5 -19◦20.523 8◦42.3 122◦52.8 -24◦39.6 170◦24.2 -7◦06.3 43◦36.7 -15◦09.2 59◦12.0 -19◦20.5Mer.pass.:22:25 v-0.4 d-0.6 m-4.2 v0.9 d-0.6 m1.7 v2.5 d-0.0 m-2.5 v2.5 d0.0 m0.5

Fri GHA GHA Dec GHA Dec GHA Dec GHA Dec0 23◦44.7 137◦52.4 -24◦40.2 185◦25.1 -7◦07.0 58◦39.2 -15◦09.2 74◦14.4 -19◦20.51 38◦47.2 152◦51.9 -24◦40.7 200◦26.0 -7◦07.6 73◦41.7 -15◦09.2 89◦16.9 -19◦20.52 53◦49.7 167◦51.5 -24◦41.3 215◦27.0 -7◦08.2 88◦44.2 -15◦09.2 104◦19.3 -19◦20.53 68◦52.1 182◦51.1 -24◦41.9 230◦27.9 -7◦08.9 103◦46.7 -15◦09.2 119◦21.8 -19◦20.54 83◦54.6 197◦50.7 -24◦42.4 245◦28.8 -7◦09.5 118◦49.1 -15◦09.2 134◦24.2 -19◦20.55 98◦57.0 212◦50.3 -24◦43.0 260◦29.7 -7◦10.2 133◦51.6 -15◦09.2 149◦26.7 -19◦20.46 113◦59.5 227◦49.9 -24◦43.6 275◦30.7 -7◦10.8 148◦54.1 -15◦09.2 164◦29.1 -19◦20.47 129◦02.0 242◦49.5 -24◦44.1 290◦31.6 -7◦11.5 163◦56.6 -15◦09.2 179◦31.6 -19◦20.48 144◦04.4 257◦49.0 -24◦44.7 305◦32.5 -7◦12.1 178◦59.1 -15◦09.2 194◦34.0 -19◦20.49 159◦06.9 272◦48.6 -24◦45.2 320◦33.4 -7◦12.7 194◦01.6 -15◦09.2 209◦36.5 -19◦20.410 174◦09.4 287◦48.2 -24◦45.8 335◦34.4 -7◦13.4 209◦04.1 -15◦09.2 224◦38.9 -19◦20.411 189◦11.8 302◦47.8 -24◦46.4 350◦35.3 -7◦14.0 224◦06.6 -15◦09.2 239◦41.4 -19◦20.412 204◦14.3 317◦47.4 -24◦46.9 5◦36.2 -7◦14.7 239◦09.1 -15◦09.2 254◦43.8 -19◦20.413 219◦16.8 332◦47.0 -24◦47.5 20◦37.1 -7◦15.3 254◦11.6 -15◦09.2 269◦46.2 -19◦20.414 234◦19.2 347◦46.6 -24◦48.0 35◦38.1 -7◦15.9 269◦14.0 -15◦09.2 284◦48.7 -19◦20.415 249◦21.7 2◦46.1 -24◦48.6 50◦39.0 -7◦16.6 284◦16.5 -15◦09.2 299◦51.1 -19◦20.416 264◦24.2 17◦45.7 -24◦49.1 65◦39.9 -7◦17.2 299◦19.0 -15◦09.2 314◦53.6 -19◦20.417 279◦26.6 32◦45.3 -24◦49.7 80◦40.9 -7◦17.9 314◦21.5 -15◦09.2 329◦56.0 -19◦20.418 294◦29.1 47◦44.9 -24◦50.2 95◦41.8 -7◦18.5 329◦24.0 -15◦09.2 344◦58.5 -19◦20.419 309◦31.5 62◦44.5 -24◦50.8 110◦42.7 -7◦19.2 344◦26.5 -15◦09.3 0◦00.9 -19◦20.420 324◦34.0 77◦44.1 -24◦51.3 125◦43.6 -7◦19.8 359◦29.0 -15◦09.3 15◦03.4 -19◦20.421 339◦36.5 92◦43.7 -24◦51.9 140◦44.6 -7◦20.4 14◦31.4 -15◦09.3 30◦05.8 -19◦20.422 354◦38.9 107◦43.2 -24◦52.4 155◦45.5 -7◦21.1 29◦33.9 -15◦09.3 45◦08.2 -19◦20.423 9◦41.4 122◦42.8 -24◦53.0 170◦46.4 -7◦21.7 44◦36.4 -15◦09.3 60◦10.7 -19◦20.4Mer.pass.:22:21 v-0.4 d-0.6 m-4.2 v0.9 d-0.6 m1.7 v2.5 d-0.0 m-2.5 v2.4 d0.0 m0.5

StarsSHA Dec

Alpheratz 357◦37.2 29◦12.7Ankaa 353◦09.4 -42◦11.3

Schedar 349◦33.5 56◦39.4Diphda 348◦49.6 -17◦52.0

Achernar 335◦21.7 -57◦07.6Hamal 327◦53.9 23◦33.9Polaris 314◦50.5 89◦21.2Akamar 315◦13.4 -40◦13.0Menkar 314◦08.6 4◦10.5Mirfak 308◦31.6 49◦56.2

Aldebaran 290◦42.5 16◦33.2Rigel 281◦06.2 -8◦10.5

Capella 280◦25.6 46◦01.1Bellatrix 278◦25.6 6◦22.2Elnath 278◦05.1 28◦37.5Alnilam 275◦40.3 -1◦11.2

Betelgeuse 270◦54.8 7◦24.7Canopus 263◦53.4 -52◦42.1

Sirius 258◦28.4 -16◦44.4Adara 255◦07.9 -28◦59.8

Procyon 244◦53.5 5◦10.4Pollux 243◦20.5 27◦58.4Avior 234◦15.9 -59◦34.3Suhail 222◦48.4 -43◦30.9

Miaplacidus 221◦39.1 -69◦48.0Alphard 217◦50.5 -8◦44.9Regulus 207◦37.4 11◦51.8Dubhe 193◦44.8 61◦38.0

Denebola 182◦27.9 14◦27.2Gienah 175◦46.6 -17◦39.5Acrux 173◦03.7 -63◦12.9

Gacrux 171◦55.1 -57◦13.9Alioth 166◦16.0 55◦50.6Spica 158◦25.4 -11◦16.3Alcaid 152◦54.6 49◦12.5Hadar 148◦40.4 -60◦28.5

Menkent 148◦01.2 -36◦28.4Arcturus 145◦50.5 19◦04.7

Rigil Kent. 139◦44.6 -60◦55.4Zubenelg. 136◦59.3 -16◦07.7Kochab 137◦20.9 74◦04.1

Alphecca 126◦06.3 26◦38.8Antares 112◦19.4 -26◦28.7

Atria 107◦16.3 -69◦04.1Sabik 102◦06.0 -15◦45.0

Shaula 96◦14.2 -37◦07.2Rasalhague 96◦01.2 12◦32.9

Etamin 90◦43.6 51◦29.5Kaus Aust. 83◦36.2 -34◦22.5

Vega 80◦35.2 38◦48.5Nunki 75◦51.1 -26◦16.2Altair 62◦02.6 8◦55.6

Peacock 53◦09.8 -56◦40.1Deneb 49◦27.5 45◦21.7

Enif 33◦41.3 9◦58.6Alnair 27◦36.0 -46◦51.5

Fomalhaut 15◦17.3 -29◦30.5Scheat 13◦47.5 28◦12.1Markab 13◦32.3 15◦19.4

2021/10/ SHA Mer.passVenus 116◦25.8 14:48Mars 162◦54.0 11:41

Jupiter 34◦52.7 20:10Saturn 50◦30.3 19:08

2021/10/ SHA Mer.passVenus 115◦16.7 14:48Mars 162◦17.2 11:39

Jupiter 34◦53.7 20:06Saturn 50◦30.1 19:04

2021/10/ SHA Mer.passVenus 114◦07.6 14:49Mars 161◦40.4 11:38

Jupiter 34◦54.5 20:02Saturn 50◦29.7 18:60

Horizontal paralaxVenus: 0.2Mars: 0.1

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2021 October 13 to Oct. 15

h Sun MoonWed GHA Dec GHA ν Dec d HP0 183◦25.5 -7◦46.3 91◦41.3 4.9 -25◦52.9 2.6 58.81 198◦25.6 -7◦47.2 106◦05.2 5.0 -25◦50.2 2.7 58.82 213◦25.8 -7◦48.2 120◦29.2 5.0 -25◦47.4 2.9 58.73 228◦25.9 -7◦49.1 134◦53.3 5.1 -25◦44.4 3.1 58.74 243◦26.1 -7◦50.0 149◦17.4 5.1 -25◦41.3 3.2 58.75 258◦26.2 -7◦51.0 163◦41.6 5.2 -25◦37.9 3.4 58.76 273◦26.4 -7◦51.9 178◦05.8 5.3 -25◦34.5 3.6 58.67 288◦26.5 -7◦52.8 192◦30.1 5.4 -25◦30.8 3.7 58.68 303◦26.7 -7◦53.8 206◦54.5 5.4 -25◦27.0 3.9 58.69 318◦26.8 -7◦54.7 221◦19.0 5.5 -25◦23.1 4.0 58.610 333◦27.0 -7◦55.6 235◦43.5 5.6 -25◦18.9 4.2 58.511 348◦27.1 -7◦56.6 250◦08.1 5.6 -25◦14.6 4.4 58.512 3◦27.3 -7◦57.5 264◦32.8 5.7 -25◦10.2 4.5 58.513 18◦27.4 -7◦58.4 278◦57.6 5.8 -25◦05.6 4.7 58.514 33◦27.6 -7◦59.4 293◦22.4 5.9 -25◦00.9 4.8 58.415 48◦27.7 -8◦00.3 307◦47.3 6.0 -24◦56.0 5.0 58.416 63◦27.9 -8◦01.2 322◦12.3 6.0 -24◦50.9 5.1 58.417 78◦28.0 -8◦02.2 336◦37.4 6.1 -24◦45.7 5.3 58.418 93◦28.2 -8◦03.1 351◦02.6 6.2 -24◦40.3 5.4 58.319 108◦28.3 -8◦04.0 5◦27.9 6.3 -24◦34.8 5.6 58.320 123◦28.5 -8◦05.0 19◦53.2 6.4 -24◦29.2 5.7 58.321 138◦28.6 -8◦05.9 34◦18.6 6.5 -24◦23.4 5.9 58.322 153◦28.7 -8◦06.8 48◦44.1 6.6 -24◦17.4 6.0 58.223 168◦28.9 -8◦07.7 63◦09.7 6.6 -24◦11.4 6.2 58.2

SD.=16.0 d=-0.9 S.D.=16.0

Thu GHA Dec GHA ν Dec d HP0 183◦29.0 -8◦08.7 77◦35.4 6.7 -24◦05.1 6.3 58.21 198◦29.2 -8◦09.6 92◦01.2 6.8 -23◦58.8 6.4 58.22 213◦29.3 -8◦10.5 106◦27.1 6.9 -23◦52.2 6.6 58.13 228◦29.5 -8◦11.5 120◦53.1 7.0 -23◦45.6 6.7 58.14 243◦29.6 -8◦12.4 135◦19.1 7.1 -23◦38.8 6.9 58.15 258◦29.8 -8◦13.3 149◦45.3 7.2 -23◦31.9 7.0 58.16 273◦29.9 -8◦14.3 164◦11.5 7.3 -23◦24.8 7.1 58.07 288◦30.1 -8◦15.2 178◦37.8 7.4 -23◦17.6 7.3 58.08 303◦30.2 -8◦16.1 193◦04.3 7.5 -23◦10.3 7.4 58.09 318◦30.3 -8◦17.0 207◦30.8 7.6 -23◦02.9 7.5 58.010 333◦30.5 -8◦18.0 221◦57.4 7.7 -22◦55.3 7.6 57.911 348◦30.6 -8◦18.9 236◦24.1 7.8 -22◦47.6 7.8 57.912 3◦30.8 -8◦19.8 250◦51.0 7.9 -22◦39.7 7.9 57.913 18◦30.9 -8◦20.7 265◦17.9 8.0 -22◦31.8 8.0 57.914 33◦31.1 -8◦21.7 279◦44.9 8.1 -22◦23.7 8.1 57.815 48◦31.2 -8◦22.6 294◦12.0 8.2 -22◦15.5 8.3 57.816 63◦31.3 -8◦23.5 308◦39.2 8.3 -22◦07.2 8.4 57.817 78◦31.5 -8◦24.5 323◦06.5 8.4 -21◦58.7 8.5 57.818 93◦31.6 -8◦25.4 337◦33.9 8.4 -21◦50.2 8.6 57.819 108◦31.8 -8◦26.3 352◦01.4 8.5 -21◦41.5 8.7 57.720 123◦31.9 -8◦27.2 6◦29.0 8.6 -21◦32.7 8.9 57.721 138◦32.1 -8◦28.2 20◦56.7 8.7 -21◦23.8 9.0 57.722 153◦32.2 -8◦29.1 35◦24.5 8.8 -21◦14.8 9.1 57.723 168◦32.3 -8◦30.0 49◦52.4 8.9 -21◦05.6 9.2 57.6

SD.=16.0 d=-0.9 S.D.=15.9

Fri GHA Dec GHA ν Dec d HP0 183◦32.5 -8◦30.9 64◦20.3 9.0 -20◦56.4 9.3 57.61 198◦32.6 -8◦31.9 78◦48.4 9.1 -20◦47.0 9.4 57.62 213◦32.8 -8◦32.8 93◦16.6 9.2 -20◦37.6 9.5 57.63 228◦32.9 -8◦33.7 107◦44.9 9.3 -20◦28.0 9.6 57.54 243◦33.0 -8◦34.6 122◦13.3 9.4 -20◦18.4 9.7 57.55 258◦33.2 -8◦35.6 136◦41.7 9.5 -20◦08.6 9.8 57.56 273◦33.3 -8◦36.5 151◦10.3 9.6 -19◦58.7 9.9 57.57 288◦33.5 -8◦37.4 165◦39.0 9.7 -19◦48.8 10.0 57.48 303◦33.6 -8◦38.3 180◦07.8 9.8 -19◦38.7 10.1 57.49 318◦33.7 -8◦39.2 194◦36.6 9.9 -19◦28.5 10.2 57.410 333◦33.9 -8◦40.2 209◦05.6 10.0 -19◦18.3 10.3 57.411 348◦34.0 -8◦41.1 223◦34.6 10.1 -19◦07.9 10.4 57.312 3◦34.1 -8◦42.0 238◦03.8 10.2 -18◦57.5 10.5 57.313 18◦34.3 -8◦42.9 252◦33.0 10.3 -18◦46.9 10.6 57.314 33◦34.4 -8◦43.9 267◦02.4 10.4 -18◦36.3 10.7 57.315 48◦34.6 -8◦44.8 281◦31.8 10.5 -18◦25.6 10.8 57.316 63◦34.7 -8◦45.7 296◦01.3 10.6 -18◦14.8 10.8 57.217 78◦34.8 -8◦46.6 310◦30.9 10.7 -18◦03.9 10.9 57.218 93◦35.0 -8◦47.5 325◦00.6 10.8 -17◦52.9 11.0 57.219 108◦35.1 -8◦48.5 339◦30.4 10.8 -17◦41.9 11.1 57.220 123◦35.2 -8◦49.4 354◦00.3 10.9 -17◦30.8 11.2 57.121 138◦35.4 -8◦50.3 8◦30.3 11.0 -17◦19.5 11.3 57.122 153◦35.5 -8◦51.2 23◦00.4 11.1 -17◦08.2 11.3 57.123 168◦35.6 -8◦52.1 37◦30.6 11.2 -16◦56.9 11.4 57.1

SD.=16.0 d=-0.9 S.D.=15.7

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 04:52 06:10 07:20 16:10 17:20 18:3870 04:56 06:06 07:09 16:21 17:24 18:3468 04:59 06:04 07:01 16:30 17:27 18:3166 05:02 06:01 06:53 16:37 17:29 18:2864 05:04 05:59 06:47 16:43 17:32 18:2662 05:06 05:57 06:42 16:49 17:34 18:2560 05:07 05:55 06:37 16:54 17:36 18:2458 05:08 05:53 06:33 16:58 17:37 18:2356 05:09 05:52 06:29 17:01 17:39 18:2254 05:10 05:50 06:26 17:05 17:40 18:2152 05:10 05:49 06:23 17:08 17:42 18:2150 05:10 05:48 06:20 17:11 17:43 18:2045 05:11 05:45 06:15 17:17 17:46 18:2040 05:11 05:42 06:10 17:22 17:49 18:2035 05:10 05:40 06:05 17:26 17:52 18:2130 05:09 05:37 06:01 17:30 17:54 18:2220 05:07 05:32 05:55 17:37 17:59 18:2510 05:03 05:27 05:48 17:43 18:05 18:290 04:58 05:22 05:43 17:49 18:10 18:34-10 04:51 05:16 05:37 17:55 18:17 18:41-20 04:42 05:08 05:30 18:02 18:24 18:50-30 04:30 04:59 05:23 18:09 18:34 19:03-35 04:22 04:53 05:19 18:14 18:40 19:10-40 04:13 04:46 05:14 18:19 18:47 19:20-45 04:01 04:38 05:08 18:25 18:55 19:32-50 03:46 04:27 05:01 18:32 19:06 19:47-52 03:39 04:23 04:58 18:35 19:11 19:54-54 03:31 04:17 04:54 18:39 19:16 20:03-56 03:22 04:11 04:50 18:43 19:22 20:12-58 03:11 04:04 04:46 18:47 19:30 20:23-60 02:58 03:56 04:41 18:52 19:38 20:37

Moonrise MoonsetLat. Wed Thu Fri Wed Thu Fri72 –:– –:– 19:40 –:– –:– 21:3170 –:– –:– 18:31 –:– –:– 22:3768 –:– 19:01 17:54 –:– 20:19 23:1366 –:– 17:50 17:28 –:– 21:29 23:3864 17:22 17:13 17:07 20:00 22:05 23:5862 16:37 16:47 16:51 20:45 22:31 –:–60 16:07 16:26 16:37 21:15 22:51 –:–58 15:44 16:09 16:25 21:37 23:07 –:–56 15:25 15:55 16:14 21:55 23:21 –:–54 15:10 15:42 16:05 22:11 23:33 –:–52 14:56 15:31 15:57 22:24 23:43 –:–50 14:44 15:21 15:49 22:36 23:53 –:–45 14:19 15:01 15:33 22:60 –:– 00:1240 13:60 14:44 15:20 23:19 –:– 00:2835 13:43 14:30 15:09 23:35 –:– 00:4230 13:29 14:17 14:59 23:49 –:– 00:5320 13:04 13:56 14:42 –:– 00:12 01:1310 12:43 13:37 14:27 –:– 00:32 01:300 12:23 13:20 14:13 –:– 00:51 01:46-10 12:04 13:03 13:59 00:13 01:10 02:02-20 11:42 12:44 13:44 00:35 01:30 02:18-30 11:18 12:22 13:26 00:60 01:52 02:37-35 11:03 12:10 13:16 01:15 02:06 02:49-40 10:47 11:55 13:04 01:32 02:21 03:01-45 10:26 11:38 12:51 01:52 02:39 03:16-50 10:01 11:16 12:34 02:18 03:02 03:34-52 09:49 11:06 12:26 02:31 03:13 03:43-54 09:35 10:54 12:17 02:45 03:25 03:52-56 09:18 10:40 12:07 03:01 03:39 04:03-58 08:59 10:25 11:55 03:21 03:55 04:15-60 08:34 10:06 11:42 03:46 04:14 04:29

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower13 13:42 13:49 11:46 18:37 06:07 7(54%)14 13:56 14:03 11:45 19:33 07:05 8(65%)15 14:10 14:16 11:45 20:24 07:59 9(75%)

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October 16, 17 ,18 (Sat., Sun., Mon.)Aries Venus Mars Jupiter Saturn

Sat GHA GHA Dec GHA Dec GHA Dec GHA Dec0 24◦43.9 137◦42.4 -24◦53.5 185◦47.3 -7◦22.4 59◦38.9 -15◦09.3 75◦13.1 -19◦20.41 39◦46.3 152◦42.0 -24◦54.0 200◦48.3 -7◦23.0 74◦41.4 -15◦09.3 90◦15.6 -19◦20.32 54◦48.8 167◦41.6 -24◦54.6 215◦49.2 -7◦23.6 89◦43.9 -15◦09.3 105◦18.0 -19◦20.33 69◦51.3 182◦41.2 -24◦55.1 230◦50.1 -7◦24.3 104◦46.3 -15◦09.3 120◦20.5 -19◦20.34 84◦53.7 197◦40.8 -24◦55.7 245◦51.0 -7◦24.9 119◦48.8 -15◦09.3 135◦22.9 -19◦20.35 99◦56.2 212◦40.3 -24◦56.2 260◦51.9 -7◦25.6 134◦51.3 -15◦09.3 150◦25.3 -19◦20.36 114◦58.7 227◦39.9 -24◦56.7 275◦52.9 -7◦26.2 149◦53.8 -15◦09.3 165◦27.8 -19◦20.37 130◦01.1 242◦39.5 -24◦57.3 290◦53.8 -7◦26.8 164◦56.3 -15◦09.3 180◦30.2 -19◦20.38 145◦03.6 257◦39.1 -24◦57.8 305◦54.7 -7◦27.5 179◦58.8 -15◦09.3 195◦32.7 -19◦20.39 160◦06.0 272◦38.7 -24◦58.4 320◦55.6 -7◦28.1 195◦01.2 -15◦09.3 210◦35.1 -19◦20.310 175◦08.5 287◦38.3 -24◦58.9 335◦56.6 -7◦28.8 210◦03.7 -15◦09.3 225◦37.6 -19◦20.311 190◦11.0 302◦37.9 -24◦59.4 350◦57.5 -7◦29.4 225◦06.2 -15◦09.3 240◦40.0 -19◦20.312 205◦13.4 317◦37.4 -24◦59.9 5◦58.4 -7◦30.1 240◦08.7 -15◦09.3 255◦42.4 -19◦20.313 220◦15.9 332◦37.0 -25◦00.5 20◦59.3 -7◦30.7 255◦11.2 -15◦09.3 270◦44.9 -19◦20.314 235◦18.4 347◦36.6 -25◦01.0 36◦00.3 -7◦31.3 270◦13.6 -15◦09.3 285◦47.3 -19◦20.315 250◦20.8 2◦36.2 -25◦01.5 51◦01.2 -7◦32.0 285◦16.1 -15◦09.3 300◦49.8 -19◦20.316 265◦23.3 17◦35.8 -25◦02.1 66◦02.1 -7◦32.6 300◦18.6 -15◦09.3 315◦52.2 -19◦20.317 280◦25.8 32◦35.4 -25◦02.6 81◦03.0 -7◦33.3 315◦21.1 -15◦09.3 330◦54.6 -19◦20.318 295◦28.2 47◦35.0 -25◦03.1 96◦03.9 -7◦33.9 330◦23.6 -15◦09.3 345◦57.1 -19◦20.319 310◦30.7 62◦34.5 -25◦03.6 111◦04.9 -7◦34.5 345◦26.0 -15◦09.3 0◦59.5 -19◦20.220 325◦33.1 77◦34.1 -25◦04.2 126◦05.8 -7◦35.2 0◦28.5 -15◦09.3 16◦02.0 -19◦20.221 340◦35.6 92◦33.7 -25◦04.7 141◦06.7 -7◦35.8 15◦31.0 -15◦09.3 31◦04.4 -19◦20.222 355◦38.1 107◦33.3 -25◦05.2 156◦07.6 -7◦36.4 30◦33.5 -15◦09.3 46◦06.8 -19◦20.223 10◦40.5 122◦32.9 -25◦05.7 171◦08.6 -7◦37.1 45◦35.9 -15◦09.3 61◦09.3 -19◦20.2Mer.pass.:22:17 v-0.4 d-0.5 m-4.2 v0.9 d-0.6 m1.7 v2.5 d-0.0 m-2.5 v2.4 d0.0 m0.6

Sun GHA GHA Dec GHA Dec GHA Dec GHA Dec0 25◦43.0 137◦32.5 -25◦06.2 186◦09.5 -7◦37.7 60◦38.4 -15◦09.2 76◦11.7 -19◦20.21 40◦45.5 152◦32.1 -25◦06.8 201◦10.4 -7◦38.4 75◦40.9 -15◦09.2 91◦14.1 -19◦20.22 55◦47.9 167◦31.6 -25◦07.3 216◦11.3 -7◦39.0 90◦43.4 -15◦09.2 106◦16.6 -19◦20.23 70◦50.4 182◦31.2 -25◦07.8 231◦12.2 -7◦39.6 105◦45.8 -15◦09.2 121◦19.0 -19◦20.24 85◦52.9 197◦30.8 -25◦08.3 246◦13.2 -7◦40.3 120◦48.3 -15◦09.2 136◦21.5 -19◦20.25 100◦55.3 212◦30.4 -25◦08.8 261◦14.1 -7◦40.9 135◦50.8 -15◦09.2 151◦23.9 -19◦20.26 115◦57.8 227◦30.0 -25◦09.3 276◦15.0 -7◦41.6 150◦53.3 -15◦09.2 166◦26.3 -19◦20.27 131◦00.3 242◦29.6 -25◦09.9 291◦15.9 -7◦42.2 165◦55.7 -15◦09.2 181◦28.8 -19◦20.28 146◦02.7 257◦29.2 -25◦10.4 306◦16.8 -7◦42.8 180◦58.2 -15◦09.2 196◦31.2 -19◦20.29 161◦05.2 272◦28.8 -25◦10.9 321◦17.8 -7◦43.5 196◦00.7 -15◦09.2 211◦33.7 -19◦20.210 176◦07.6 287◦28.3 -25◦11.4 336◦18.7 -7◦44.1 211◦03.2 -15◦09.2 226◦36.1 -19◦20.111 191◦10.1 302◦27.9 -25◦11.9 351◦19.6 -7◦44.8 226◦05.6 -15◦09.2 241◦38.5 -19◦20.112 206◦12.6 317◦27.5 -25◦12.4 6◦20.5 -7◦45.4 241◦08.1 -15◦09.2 256◦41.0 -19◦20.113 221◦15.0 332◦27.1 -25◦12.9 21◦21.4 -7◦46.0 256◦10.6 -15◦09.2 271◦43.4 -19◦20.114 236◦17.5 347◦26.7 -25◦13.4 36◦22.4 -7◦46.7 271◦13.0 -15◦09.2 286◦45.8 -19◦20.115 251◦20.0 2◦26.3 -25◦13.9 51◦23.3 -7◦47.3 286◦15.5 -15◦09.2 301◦48.3 -19◦20.116 266◦22.4 17◦25.9 -25◦14.4 66◦24.2 -7◦47.9 301◦18.0 -15◦09.2 316◦50.7 -19◦20.117 281◦24.9 32◦25.5 -25◦14.9 81◦25.1 -7◦48.6 316◦20.5 -15◦09.2 331◦53.1 -19◦20.118 296◦27.4 47◦25.1 -25◦15.4 96◦26.0 -7◦49.2 331◦22.9 -15◦09.2 346◦55.6 -19◦20.119 311◦29.8 62◦24.6 -25◦15.9 111◦27.0 -7◦49.9 346◦25.4 -15◦09.2 1◦58.0 -19◦20.120 326◦32.3 77◦24.2 -25◦16.4 126◦27.9 -7◦50.5 1◦27.9 -15◦09.2 17◦00.5 -19◦20.121 341◦34.7 92◦23.8 -25◦16.9 141◦28.8 -7◦51.1 16◦30.3 -15◦09.2 32◦02.9 -19◦20.122 356◦37.2 107◦23.4 -25◦17.4 156◦29.7 -7◦51.8 31◦32.8 -15◦09.2 47◦05.3 -19◦20.123 11◦39.7 122◦23.0 -25◦17.9 171◦30.6 -7◦52.4 46◦35.3 -15◦09.2 62◦07.8 -19◦20.1Mer.pass.:22:13 v-0.4 d-0.5 m-4.2 v0.9 d-0.6 m1.7 v2.5 d0.0 m-2.5 v2.4 d0.0 m0.6

Mon GHA GHA Dec GHA Dec GHA Dec GHA Dec0 26◦42.1 137◦22.6 -25◦18.4 186◦31.6 -7◦53.1 61◦37.7 -15◦09.2 77◦10.2 -19◦20.01 41◦44.6 152◦22.2 -25◦18.9 201◦32.5 -7◦53.7 76◦40.2 -15◦09.2 92◦12.6 -19◦20.02 56◦47.1 167◦21.8 -25◦19.4 216◦33.4 -7◦54.3 91◦42.7 -15◦09.2 107◦15.1 -19◦20.03 71◦49.5 182◦21.3 -25◦19.9 231◦34.3 -7◦55.0 106◦45.1 -15◦09.2 122◦17.5 -19◦20.04 86◦52.0 197◦20.9 -25◦20.4 246◦35.2 -7◦55.6 121◦47.6 -15◦09.2 137◦19.9 -19◦20.05 101◦54.5 212◦20.5 -25◦20.9 261◦36.1 -7◦56.2 136◦50.1 -15◦09.1 152◦22.4 -19◦20.06 116◦56.9 227◦20.1 -25◦21.4 276◦37.1 -7◦56.9 151◦52.5 -15◦09.1 167◦24.8 -19◦20.07 131◦59.4 242◦19.7 -25◦21.8 291◦38.0 -7◦57.5 166◦55.0 -15◦09.1 182◦27.2 -19◦20.08 147◦01.9 257◦19.3 -25◦22.3 306◦38.9 -7◦58.2 181◦57.5 -15◦09.1 197◦29.7 -19◦20.09 162◦04.3 272◦18.9 -25◦22.8 321◦39.8 -7◦58.8 196◦59.9 -15◦09.1 212◦32.1 -19◦20.010 177◦06.8 287◦18.5 -25◦23.3 336◦40.7 -7◦59.4 212◦02.4 -15◦09.1 227◦34.5 -19◦20.011 192◦09.2 302◦18.1 -25◦23.8 351◦41.7 -8◦00.1 227◦04.9 -15◦09.1 242◦37.0 -19◦20.012 207◦11.7 317◦17.7 -25◦24.3 6◦42.6 -8◦00.7 242◦07.3 -15◦09.1 257◦39.4 -19◦20.013 222◦14.2 332◦17.2 -25◦24.7 21◦43.5 -8◦01.3 257◦09.8 -15◦09.1 272◦41.8 -19◦19.914 237◦16.6 347◦16.8 -25◦25.2 36◦44.4 -8◦02.0 272◦12.3 -15◦09.1 287◦44.3 -19◦19.915 252◦19.1 2◦16.4 -25◦25.7 51◦45.3 -8◦02.6 287◦14.7 -15◦09.1 302◦46.7 -19◦19.916 267◦21.6 17◦16.0 -25◦26.2 66◦46.2 -8◦03.2 302◦17.2 -15◦09.1 317◦49.1 -19◦19.917 282◦24.0 32◦15.6 -25◦26.7 81◦47.1 -8◦03.9 317◦19.6 -15◦09.1 332◦51.5 -19◦19.918 297◦26.5 47◦15.2 -25◦27.1 96◦48.1 -8◦04.5 332◦22.1 -15◦09.1 347◦54.0 -19◦19.919 312◦29.0 62◦14.8 -25◦27.6 111◦49.0 -8◦05.2 347◦24.6 -15◦09.1 2◦56.4 -19◦19.920 327◦31.4 77◦14.4 -25◦28.1 126◦49.9 -8◦05.8 2◦27.0 -15◦09.1 17◦58.8 -19◦19.921 342◦33.9 92◦14.0 -25◦28.6 141◦50.8 -8◦06.4 17◦29.5 -15◦09.1 33◦01.3 -19◦19.922 357◦36.4 107◦13.6 -25◦29.0 156◦51.7 -8◦07.1 32◦32.0 -15◦09.0 48◦03.7 -19◦19.923 12◦38.8 122◦13.2 -25◦29.5 171◦52.6 -8◦07.7 47◦34.4 -15◦09.0 63◦06.1 -19◦19.9Mer.pass.:22:09 v-0.4 d-0.5 m-4.2 v0.9 d-0.6 m1.7 v2.5 d0.0 m-2.5 v2.4 d0.0 m0.6

StarsSHA Dec

Alpheratz 357◦37.2 29◦12.7Ankaa 353◦09.4 -42◦11.3

Schedar 349◦33.5 56◦39.5Diphda 348◦49.6 -17◦52.0

Achernar 335◦21.7 -57◦07.6Hamal 327◦53.9 23◦33.9Polaris 314◦49.9 89◦21.2Akamar 315◦13.4 -40◦13.0Menkar 314◦08.6 4◦10.5Mirfak 308◦31.6 49◦56.2

Aldebaran 290◦42.4 16◦33.2Rigel 281◦06.2 -8◦10.5

Capella 280◦25.6 46◦01.1Bellatrix 278◦25.5 6◦22.2Elnath 278◦05.0 28◦37.5Alnilam 275◦40.3 -1◦11.2

Betelgeuse 270◦54.8 7◦24.7Canopus 263◦53.4 -52◦42.1

Sirius 258◦28.4 -16◦44.4Adara 255◦07.9 -28◦59.8

Procyon 244◦53.5 5◦10.4Pollux 243◦20.5 27◦58.4Avior 234◦15.9 -59◦34.3Suhail 222◦48.4 -43◦30.9

Miaplacidus 221◦39.1 -69◦48.0Alphard 217◦50.5 -8◦44.9Regulus 207◦37.4 11◦51.8Dubhe 193◦44.8 61◦38.0

Denebola 182◦27.9 14◦27.2Gienah 175◦46.6 -17◦39.5Acrux 173◦03.7 -63◦12.9

Gacrux 171◦55.1 -57◦13.8Alioth 166◦16.0 55◦50.6Spica 158◦25.4 -11◦16.3Alcaid 152◦54.6 49◦12.4Hadar 148◦40.4 -60◦28.5

Menkent 148◦01.2 -36◦28.4Arcturus 145◦50.5 19◦04.6

Rigil Kent. 139◦44.6 -60◦55.4Zubenelg. 136◦59.3 -16◦07.7Kochab 137◦20.9 74◦04.1

Alphecca 126◦06.3 26◦38.7Antares 112◦19.4 -26◦28.7

Atria 107◦16.3 -69◦04.1Sabik 102◦06.0 -15◦45.0

Shaula 96◦14.2 -37◦07.2Rasalhague 96◦01.2 12◦32.9

Etamin 90◦43.7 51◦29.4Kaus Aust. 83◦36.2 -34◦22.5

Vega 80◦35.2 38◦48.5Nunki 75◦51.1 -26◦16.2Altair 62◦02.6 8◦55.6

Peacock 53◦09.8 -56◦40.1Deneb 49◦27.5 45◦21.7

Enif 33◦41.3 9◦58.6Alnair 27◦36.0 -46◦51.5

Fomalhaut 15◦17.3 -29◦30.5Scheat 13◦47.5 28◦12.2Markab 13◦32.3 15◦19.4

2021/10/ SHA Mer.passVenus 112◦58.5 14:50Mars 161◦03.5 11:36

Jupiter 34◦55.0 19:58Saturn 50◦29.3 18:56

2021/10/ SHA Mer.passVenus 111◦49.5 14:50Mars 160◦26.5 11:35

Jupiter 34◦55.4 19:54Saturn 50◦28.7 18:52

2021/10/ SHA Mer.passVenus 110◦40.4 14:51Mars 159◦49.4 11:33

Jupiter 34◦55.6 19:50Saturn 50◦28.0 18:48

Horizontal paralaxVenus: 0.2Mars: 0.1

194

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2021 October 16 to Oct. 18

h Sun MoonSat GHA Dec GHA ν Dec d HP0 183◦35.8 -8◦53.1 52◦00.8 11.3 -16◦45.4 11.5 57.01 198◦35.9 -8◦54.0 66◦31.2 11.4 -16◦33.9 11.6 57.02 213◦36.1 -8◦54.9 81◦01.6 11.5 -16◦22.3 11.6 57.03 228◦36.2 -8◦55.8 95◦32.1 11.6 -16◦10.6 11.7 57.04 243◦36.3 -8◦56.7 110◦02.7 11.6 -15◦58.9 11.8 57.05 258◦36.5 -8◦57.7 124◦33.4 11.7 -15◦47.1 11.8 56.96 273◦36.6 -8◦58.6 139◦04.2 11.8 -15◦35.2 11.9 56.97 288◦36.7 -8◦59.5 153◦35.0 11.9 -15◦23.3 12.0 56.98 303◦36.9 -9◦00.4 168◦05.9 12.0 -15◦11.3 12.0 56.99 318◦37.0 -9◦01.3 182◦37.0 12.1 -14◦59.2 12.1 56.810 333◦37.1 -9◦02.2 197◦08.1 12.1 -14◦47.0 12.2 56.811 348◦37.3 -9◦03.2 211◦39.2 12.2 -14◦34.8 12.2 56.812 3◦37.4 -9◦04.1 226◦10.5 12.3 -14◦22.6 12.3 56.813 18◦37.5 -9◦05.0 240◦41.8 12.4 -14◦10.3 12.4 56.814 33◦37.6 -9◦05.9 255◦13.3 12.5 -13◦57.9 12.4 56.715 48◦37.8 -9◦06.8 269◦44.8 12.5 -13◦45.4 12.5 56.716 63◦37.9 -9◦07.7 284◦16.3 12.6 -13◦32.9 12.5 56.717 78◦38.0 -9◦08.7 298◦48.0 12.7 -13◦20.4 12.6 56.718 93◦38.2 -9◦09.6 313◦19.7 12.8 -13◦07.8 12.6 56.619 108◦38.3 -9◦10.5 327◦51.5 12.8 -12◦55.1 12.7 56.620 123◦38.4 -9◦11.4 342◦23.4 12.9 -12◦42.4 12.7 56.621 138◦38.6 -9◦12.3 356◦55.3 13.0 -12◦29.7 12.8 56.622 153◦38.7 -9◦13.2 11◦27.3 13.0 -12◦16.9 12.8 56.623 168◦38.8 -9◦14.1 25◦59.4 13.1 -12◦04.0 12.9 56.5

SD.=16.0 d=-0.9 S.D.=15.6

Sun GHA Dec GHA ν Dec d HP0 183◦38.9 -9◦15.1 40◦31.6 13.2 -11◦51.1 12.9 56.51 198◦39.1 -9◦16.0 55◦03.8 13.3 -11◦38.2 13.0 56.52 213◦39.2 -9◦16.9 69◦36.1 13.3 -11◦25.2 13.0 56.53 228◦39.3 -9◦17.8 84◦08.4 13.4 -11◦12.2 13.0 56.44 243◦39.5 -9◦18.7 98◦40.8 13.5 -10◦59.1 13.1 56.45 258◦39.6 -9◦19.6 113◦13.3 13.5 -10◦46.0 13.1 56.46 273◦39.7 -9◦20.5 127◦45.9 13.6 -10◦32.9 13.2 56.47 288◦39.8 -9◦21.5 142◦18.5 13.6 -10◦19.7 13.2 56.48 303◦40.0 -9◦22.4 156◦51.2 13.7 -10◦06.5 13.2 56.39 318◦40.1 -9◦23.3 171◦23.9 13.8 -9◦53.2 13.3 56.310 333◦40.2 -9◦24.2 185◦56.7 13.8 -9◦39.9 13.3 56.311 348◦40.3 -9◦25.1 200◦29.5 13.9 -9◦26.6 13.3 56.312 3◦40.5 -9◦26.0 215◦02.5 13.9 -9◦13.2 13.4 56.313 18◦40.6 -9◦26.9 229◦35.4 14.0 -8◦59.8 13.4 56.214 33◦40.7 -9◦27.8 244◦08.4 14.1 -8◦46.4 13.4 56.215 48◦40.9 -9◦28.7 258◦41.5 14.1 -8◦32.9 13.5 56.216 63◦41.0 -9◦29.7 273◦14.6 14.2 -8◦19.5 13.5 56.217 78◦41.1 -9◦30.6 287◦47.8 14.2 -8◦06.0 13.5 56.218 93◦41.2 -9◦31.5 302◦21.1 14.3 -7◦52.4 13.5 56.119 108◦41.3 -9◦32.4 316◦54.4 14.3 -7◦38.9 13.6 56.120 123◦41.5 -9◦33.3 331◦27.7 14.4 -7◦25.3 13.6 56.121 138◦41.6 -9◦34.2 346◦01.1 14.4 -7◦11.7 13.6 56.122 153◦41.7 -9◦35.1 0◦34.5 14.5 -6◦58.0 13.6 56.123 168◦41.8 -9◦36.0 15◦08.0 14.5 -6◦44.4 13.7 56.0

SD.=16.0 d=-0.9 S.D.=15.4

Mon GHA Dec GHA ν Dec d HP0 183◦42.0 -9◦36.9 29◦41.5 14.5 -6◦30.7 13.7 56.01 198◦42.1 -9◦37.8 44◦15.1 14.6 -6◦17.0 13.7 56.02 213◦42.2 -9◦38.7 58◦48.7 14.6 -6◦03.3 13.7 56.03 228◦42.3 -9◦39.7 73◦22.4 14.7 -5◦49.6 13.7 56.04 243◦42.5 -9◦40.6 87◦56.1 14.7 -5◦35.9 13.7 55.95 258◦42.6 -9◦41.5 102◦29.8 14.8 -5◦22.1 13.8 55.96 273◦42.7 -9◦42.4 117◦03.6 14.8 -5◦08.4 13.8 55.97 288◦42.8 -9◦43.3 131◦37.4 14.8 -4◦54.6 13.8 55.98 303◦42.9 -9◦44.2 146◦11.3 14.9 -4◦40.8 13.8 55.99 318◦43.1 -9◦45.1 160◦45.2 14.9 -4◦27.0 13.8 55.810 333◦43.2 -9◦46.0 175◦19.1 14.9 -4◦13.2 13.8 55.811 348◦43.3 -9◦46.9 189◦53.1 15.0 -3◦59.3 13.8 55.812 3◦43.4 -9◦47.8 204◦27.1 15.0 -3◦45.5 13.8 55.813 18◦43.5 -9◦48.7 219◦01.1 15.0 -3◦31.7 13.8 55.814 33◦43.7 -9◦49.6 233◦35.2 15.1 -3◦17.8 13.8 55.715 48◦43.8 -9◦50.5 248◦09.2 15.1 -3◦04.0 13.8 55.716 63◦43.9 -9◦51.4 262◦43.4 15.1 -2◦50.1 13.9 55.717 78◦44.0 -9◦52.3 277◦17.5 15.2 -2◦36.3 13.9 55.718 93◦44.1 -9◦53.2 291◦51.7 15.2 -2◦22.4 13.9 55.719 108◦44.2 -9◦54.1 306◦25.9 15.2 -2◦08.6 13.9 55.620 123◦44.4 -9◦55.0 321◦00.2 15.2 -1◦54.7 13.9 55.621 138◦44.5 -9◦55.9 335◦34.4 15.3 -1◦40.9 13.9 55.622 153◦44.6 -9◦56.8 350◦08.7 15.3 -1◦27.0 13.9 55.623 168◦44.7 -9◦57.8 4◦43.0 15.3 -1◦13.1 13.9 55.6

SD.=16.1 d=-0.9 S.D.=15.3

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 05:05 06:23 07:35 15:54 17:05 18:2370 05:07 06:18 07:22 16:07 17:11 18:2168 05:10 06:14 07:12 16:17 17:15 18:1966 05:11 06:10 07:03 16:26 17:19 18:1864 05:12 06:07 06:56 16:33 17:22 18:1762 05:13 06:05 06:50 16:39 17:25 18:1660 05:14 06:02 06:45 16:45 17:27 18:1558 05:14 05:60 06:40 16:50 17:30 18:1556 05:15 05:58 06:36 16:54 17:32 18:1554 05:15 05:56 06:32 16:58 17:34 18:1552 05:15 05:54 06:28 17:01 17:36 18:1550 05:15 05:53 06:25 17:05 17:37 18:1545 05:15 05:49 06:18 17:12 17:41 18:1540 05:14 05:45 06:13 17:17 17:45 18:1635 05:13 05:42 06:08 17:22 17:48 18:1730 05:11 05:39 06:03 17:27 17:51 18:1920 05:08 05:33 05:55 17:35 17:57 18:2310 05:03 05:27 05:49 17:42 18:03 18:280 04:57 05:21 05:42 17:49 18:10 18:34-10 04:49 05:14 05:35 17:55 18:17 18:42-20 04:39 05:06 05:28 18:03 18:25 18:52-30 04:26 04:55 05:20 18:11 18:36 19:05-35 04:18 04:49 05:15 18:16 18:42 19:13-40 04:08 04:41 05:09 18:22 18:50 19:24-45 03:55 04:32 05:03 18:29 18:59 19:36-50 03:39 04:21 04:55 18:37 19:11 19:53-52 03:31 04:16 04:51 18:41 19:16 20:01-54 03:22 04:10 04:47 18:45 19:22 20:10-56 03:12 04:03 04:43 18:49 19:29 20:20-58 03:00 03:55 04:38 18:54 19:37 20:33-60 02:46 03:47 04:32 19:00 19:46 20:47

Moonrise MoonsetLat. Sat Sun Mon Sat Sun Mon72 18:12 17:34 17:04 –:– 00:38 02:5170 17:48 17:22 17:01 –:– 01:00 03:0068 17:30 17:12 16:58 –:– 01:17 03:0766 17:15 17:05 16:55 –:– 01:30 03:1364 17:02 16:58 16:53 –:– 01:41 03:1862 16:52 16:52 16:51 00:14 01:51 03:2360 16:43 16:47 16:50 00:27 01:59 03:2658 16:35 16:42 16:48 00:38 02:06 03:3056 16:28 16:38 16:47 00:48 02:12 03:3354 16:21 16:35 16:46 00:56 02:17 03:3552 16:16 16:31 16:45 01:04 02:22 03:3850 16:11 16:28 16:44 01:11 02:26 03:4045 15:59 16:22 16:42 01:25 02:36 03:4440 15:50 16:16 16:40 01:37 02:44 03:4835 15:42 16:11 16:38 01:47 02:51 03:5230 15:35 16:07 16:37 01:56 02:56 03:5520 15:23 15:60 16:34 02:11 03:07 03:6010 15:12 15:53 16:32 02:24 03:15 04:040 15:02 15:47 16:30 02:37 03:24 04:08-10 14:51 15:41 16:28 02:49 03:32 04:12-20 14:40 15:34 16:26 03:02 03:40 04:16-30 14:28 15:27 16:24 03:16 03:50 04:21-35 14:20 15:23 16:23 03:25 03:56 04:24-40 14:12 15:18 16:21 03:34 04:02 04:27-45 14:02 15:12 16:19 03:45 04:10 04:31-50 13:50 15:05 16:17 03:59 04:18 04:35-52 13:45 15:02 16:16 04:05 04:22 04:37-54 13:39 14:58 16:15 04:12 04:27 04:39-56 13:32 14:54 16:14 04:20 04:32 04:41-58 13:24 14:50 16:12 04:28 04:37 04:44-60 13:15 14:45 16:11 04:38 04:43 04:47

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower16 14:23 14:29 11:45 21:12 08:49 10(83%)17 14:36 14:42 11:45 21:57 09:35 11(90%)18 14:48 14:54 11:45 22:40 10:19 12(95%)

195

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October 19, 20 ,21 (Tue., Wed., Thu.)Aries Venus Mars Jupiter Saturn

Tue GHA GHA Dec GHA Dec GHA Dec GHA Dec0 27◦41.3 137◦12.7 -25◦30.0 186◦53.6 -8◦08.3 62◦36.9 -15◦09.0 78◦08.6 -19◦19.91 42◦43.7 152◦12.3 -25◦30.4 201◦54.5 -8◦09.0 77◦39.3 -15◦09.0 93◦11.0 -19◦19.82 57◦46.2 167◦11.9 -25◦30.9 216◦55.4 -8◦09.6 92◦41.8 -15◦09.0 108◦13.4 -19◦19.83 72◦48.7 182◦11.5 -25◦31.4 231◦56.3 -8◦10.2 107◦44.2 -15◦09.0 123◦15.9 -19◦19.84 87◦51.1 197◦11.1 -25◦31.8 246◦57.2 -8◦10.9 122◦46.7 -15◦09.0 138◦18.3 -19◦19.85 102◦53.6 212◦10.7 -25◦32.3 261◦58.1 -8◦11.5 137◦49.2 -15◦09.0 153◦20.7 -19◦19.86 117◦56.1 227◦10.3 -25◦32.8 276◦59.0 -8◦12.1 152◦51.6 -15◦09.0 168◦23.1 -19◦19.87 132◦58.5 242◦09.9 -25◦33.2 291◦60.0 -8◦12.8 167◦54.1 -15◦09.0 183◦25.6 -19◦19.88 148◦01.0 257◦09.5 -25◦33.7 307◦00.9 -8◦13.4 182◦56.5 -15◦09.0 198◦28.0 -19◦19.89 163◦03.5 272◦09.1 -25◦34.2 322◦01.8 -8◦14.1 197◦59.0 -15◦09.0 213◦30.4 -19◦19.810 178◦05.9 287◦08.7 -25◦34.6 337◦02.7 -8◦14.7 213◦01.5 -15◦09.0 228◦32.9 -19◦19.811 193◦08.4 302◦08.3 -25◦35.1 352◦03.6 -8◦15.3 228◦03.9 -15◦08.9 243◦35.3 -19◦19.812 208◦10.8 317◦07.9 -25◦35.5 7◦04.5 -8◦16.0 243◦06.4 -15◦08.9 258◦37.7 -19◦19.713 223◦13.3 332◦07.4 -25◦36.0 22◦05.4 -8◦16.6 258◦08.8 -15◦08.9 273◦40.1 -19◦19.714 238◦15.8 347◦07.0 -25◦36.4 37◦06.4 -8◦17.2 273◦11.3 -15◦08.9 288◦42.6 -19◦19.715 253◦18.2 2◦06.6 -25◦36.9 52◦07.3 -8◦17.9 288◦13.7 -15◦08.9 303◦45.0 -19◦19.716 268◦20.7 17◦06.2 -25◦37.3 67◦08.2 -8◦18.5 303◦16.2 -15◦08.9 318◦47.4 -19◦19.717 283◦23.2 32◦05.8 -25◦37.8 82◦09.1 -8◦19.1 318◦18.6 -15◦08.9 333◦49.9 -19◦19.718 298◦25.6 47◦05.4 -25◦38.2 97◦10.0 -8◦19.8 333◦21.1 -15◦08.9 348◦52.3 -19◦19.719 313◦28.1 62◦05.0 -25◦38.7 112◦10.9 -8◦20.4 348◦23.5 -15◦08.9 3◦54.7 -19◦19.720 328◦30.6 77◦04.6 -25◦39.1 127◦11.8 -8◦21.0 3◦26.0 -15◦08.9 18◦57.1 -19◦19.721 343◦33.0 92◦04.2 -25◦39.6 142◦12.7 -8◦21.7 18◦28.4 -15◦08.9 33◦59.6 -19◦19.722 358◦35.5 107◦03.8 -25◦40.0 157◦13.7 -8◦22.3 33◦30.9 -15◦08.8 49◦02.0 -19◦19.723 13◦38.0 122◦03.4 -25◦40.5 172◦14.6 -8◦22.9 48◦33.4 -15◦08.8 64◦04.4 -19◦19.6Mer.pass.:22:05 v-0.4 d-0.5 m-4.2 v0.9 d-0.6 m1.7 v2.5 d0.0 m-2.4 v2.4 d0.0 m0.6

Wed GHA GHA Dec GHA Dec GHA Dec GHA Dec0 28◦40.4 137◦03.0 -25◦40.9 187◦15.5 -8◦23.6 63◦35.8 -15◦08.8 79◦06.8 -19◦19.61 43◦42.9 152◦02.6 -25◦41.4 202◦16.4 -8◦24.2 78◦38.3 -15◦08.8 94◦09.3 -19◦19.62 58◦45.3 167◦02.2 -25◦41.8 217◦17.3 -8◦24.8 93◦40.7 -15◦08.8 109◦11.7 -19◦19.63 73◦47.8 182◦01.8 -25◦42.3 232◦18.2 -8◦25.5 108◦43.2 -15◦08.8 124◦14.1 -19◦19.64 88◦50.3 197◦01.4 -25◦42.7 247◦19.1 -8◦26.1 123◦45.6 -15◦08.8 139◦16.5 -19◦19.65 103◦52.7 212◦01.0 -25◦43.1 262◦20.0 -8◦26.7 138◦48.1 -15◦08.8 154◦19.0 -19◦19.66 118◦55.2 227◦00.6 -25◦43.6 277◦20.9 -8◦27.4 153◦50.5 -15◦08.8 169◦21.4 -19◦19.67 133◦57.7 242◦00.2 -25◦44.0 292◦21.9 -8◦28.0 168◦53.0 -15◦08.7 184◦23.8 -19◦19.68 149◦00.1 256◦59.8 -25◦44.5 307◦22.8 -8◦28.6 183◦55.4 -15◦08.7 199◦26.2 -19◦19.69 164◦02.6 271◦59.3 -25◦44.9 322◦23.7 -8◦29.3 198◦57.9 -15◦08.7 214◦28.7 -19◦19.510 179◦05.1 286◦58.9 -25◦45.3 337◦24.6 -8◦29.9 214◦00.3 -15◦08.7 229◦31.1 -19◦19.511 194◦07.5 301◦58.5 -25◦45.8 352◦25.5 -8◦30.5 229◦02.7 -15◦08.7 244◦33.5 -19◦19.512 209◦10.0 316◦58.1 -25◦46.2 7◦26.4 -8◦31.2 244◦05.2 -15◦08.7 259◦35.9 -19◦19.513 224◦12.4 331◦57.7 -25◦46.6 22◦27.3 -8◦31.8 259◦07.6 -15◦08.7 274◦38.4 -19◦19.514 239◦14.9 346◦57.3 -25◦47.1 37◦28.2 -8◦32.4 274◦10.1 -15◦08.7 289◦40.8 -19◦19.515 254◦17.4 1◦56.9 -25◦47.5 52◦29.1 -8◦33.1 289◦12.5 -15◦08.7 304◦43.2 -19◦19.516 269◦19.8 16◦56.5 -25◦47.9 67◦30.0 -8◦33.7 304◦15.0 -15◦08.6 319◦45.6 -19◦19.517 284◦22.3 31◦56.1 -25◦48.3 82◦31.0 -8◦34.3 319◦17.4 -15◦08.6 334◦48.1 -19◦19.518 299◦24.8 46◦55.7 -25◦48.8 97◦31.9 -8◦35.0 334◦19.9 -15◦08.6 349◦50.5 -19◦19.519 314◦27.2 61◦55.3 -25◦49.2 112◦32.8 -8◦35.6 349◦22.3 -15◦08.6 4◦52.9 -19◦19.420 329◦29.7 76◦54.9 -25◦49.6 127◦33.7 -8◦36.2 4◦24.8 -15◦08.6 19◦55.3 -19◦19.421 344◦32.2 91◦54.5 -25◦50.0 142◦34.6 -8◦36.9 19◦27.2 -15◦08.6 34◦57.7 -19◦19.422 359◦34.6 106◦54.1 -25◦50.5 157◦35.5 -8◦37.5 34◦29.7 -15◦08.6 50◦00.2 -19◦19.423 14◦37.1 121◦53.7 -25◦50.9 172◦36.4 -8◦38.1 49◦32.1 -15◦08.6 65◦02.6 -19◦19.4Mer.pass.:22:01 v-0.4 d-0.4 m-4.2 v0.9 d-0.6 m1.7 v2.5 d0.0 m-2.4 v2.4 d0.0 m0.6

Thu GHA GHA Dec GHA Dec GHA Dec GHA Dec0 29◦39.6 136◦53.3 -25◦51.3 187◦37.3 -8◦38.8 64◦34.5 -15◦08.5 80◦05.0 -19◦19.41 44◦42.0 151◦52.9 -25◦51.7 202◦38.2 -8◦39.4 79◦37.0 -15◦08.5 95◦07.4 -19◦19.42 59◦44.5 166◦52.5 -25◦52.1 217◦39.1 -8◦40.0 94◦39.4 -15◦08.5 110◦09.9 -19◦19.43 74◦46.9 181◦52.1 -25◦52.6 232◦40.0 -8◦40.6 109◦41.9 -15◦08.5 125◦12.3 -19◦19.44 89◦49.4 196◦51.7 -25◦53.0 247◦40.9 -8◦41.3 124◦44.3 -15◦08.5 140◦14.7 -19◦19.35 104◦51.9 211◦51.3 -25◦53.4 262◦41.9 -8◦41.9 139◦46.8 -15◦08.5 155◦17.1 -19◦19.36 119◦54.3 226◦50.9 -25◦53.8 277◦42.8 -8◦42.5 154◦49.2 -15◦08.5 170◦19.5 -19◦19.37 134◦56.8 241◦50.5 -25◦54.2 292◦43.7 -8◦43.2 169◦51.6 -15◦08.5 185◦22.0 -19◦19.38 149◦59.3 256◦50.1 -25◦54.6 307◦44.6 -8◦43.8 184◦54.1 -15◦08.4 200◦24.4 -19◦19.39 165◦01.7 271◦49.7 -25◦55.0 322◦45.5 -8◦44.4 199◦56.5 -15◦08.4 215◦26.8 -19◦19.310 180◦04.2 286◦49.3 -25◦55.4 337◦46.4 -8◦45.1 214◦59.0 -15◦08.4 230◦29.2 -19◦19.311 195◦06.7 301◦48.9 -25◦55.8 352◦47.3 -8◦45.7 230◦01.4 -15◦08.4 245◦31.6 -19◦19.312 210◦09.1 316◦48.5 -25◦56.3 7◦48.2 -8◦46.3 245◦03.8 -15◦08.4 260◦34.1 -19◦19.313 225◦11.6 331◦48.1 -25◦56.7 22◦49.1 -8◦47.0 260◦06.3 -15◦08.4 275◦36.5 -19◦19.214 240◦14.0 346◦47.7 -25◦57.1 37◦50.0 -8◦47.6 275◦08.7 -15◦08.4 290◦38.9 -19◦19.215 255◦16.5 1◦47.3 -25◦57.5 52◦50.9 -8◦48.2 290◦11.1 -15◦08.3 305◦41.3 -19◦19.216 270◦19.0 16◦46.9 -25◦57.9 67◦51.8 -8◦48.8 305◦13.6 -15◦08.3 320◦43.7 -19◦19.217 285◦21.4 31◦46.5 -25◦58.3 82◦52.7 -8◦49.5 320◦16.0 -15◦08.3 335◦46.1 -19◦19.218 300◦23.9 46◦46.1 -25◦58.7 97◦53.6 -8◦50.1 335◦18.5 -15◦08.3 350◦48.6 -19◦19.219 315◦26.4 61◦45.8 -25◦59.1 112◦54.5 -8◦50.7 350◦20.9 -15◦08.3 5◦51.0 -19◦19.220 330◦28.8 76◦45.4 -25◦59.5 127◦55.4 -8◦51.4 5◦23.3 -15◦08.3 20◦53.4 -19◦19.221 345◦31.3 91◦45.0 -25◦59.9 142◦56.4 -8◦52.0 20◦25.8 -15◦08.2 35◦55.8 -19◦19.122 0◦33.8 106◦44.6 -26◦00.3 157◦57.3 -8◦52.6 35◦28.2 -15◦08.2 50◦58.2 -19◦19.123 15◦36.2 121◦44.2 -26◦00.7 172◦58.2 -8◦53.3 50◦30.6 -15◦08.2 66◦00.7 -19◦19.1Mer.pass.:21:57 v-0.4 d-0.4 m-4.2 v0.9 d-0.6 m1.7 v2.4 d0.0 m-2.4 v2.4 d0.0 m0.6

StarsSHA Dec

Alpheratz 357◦37.2 29◦12.7Ankaa 353◦09.4 -42◦11.4

Schedar 349◦33.5 56◦39.5Diphda 348◦49.6 -17◦52.0

Achernar 335◦21.7 -57◦07.6Hamal 327◦53.9 23◦33.9Polaris 314◦49.4 89◦21.2Akamar 315◦13.4 -40◦13.0Menkar 314◦08.6 4◦10.5Mirfak 308◦31.6 49◦56.2

Aldebaran 290◦42.4 16◦33.2Rigel 281◦06.2 -8◦10.5

Capella 280◦25.5 46◦01.1Bellatrix 278◦25.5 6◦22.2Elnath 278◦05.0 28◦37.5Alnilam 275◦40.3 -1◦11.2

Betelgeuse 270◦54.8 7◦24.7Canopus 263◦53.4 -52◦42.1

Sirius 258◦28.4 -16◦44.4Adara 255◦07.8 -28◦59.8

Procyon 244◦53.5 5◦10.4Pollux 243◦20.4 27◦58.4Avior 234◦15.8 -59◦34.3Suhail 222◦48.4 -43◦30.9

Miaplacidus 221◦39.1 -69◦48.0Alphard 217◦50.5 -8◦44.9Regulus 207◦37.4 11◦51.8Dubhe 193◦44.8 61◦38.0

Denebola 182◦27.9 14◦27.2Gienah 175◦46.6 -17◦39.5Acrux 173◦03.7 -63◦12.9

Gacrux 171◦55.1 -57◦13.8Alioth 166◦16.0 55◦50.6Spica 158◦25.4 -11◦16.3Alcaid 152◦54.6 49◦12.4Hadar 148◦40.4 -60◦28.5

Menkent 148◦01.2 -36◦28.4Arcturus 145◦50.5 19◦04.6

Rigil Kent. 139◦44.6 -60◦55.4Zubenelg. 136◦59.3 -16◦07.7Kochab 137◦21.0 74◦04.1

Alphecca 126◦06.4 26◦38.7Antares 112◦19.4 -26◦28.7

Atria 107◦16.4 -69◦04.1Sabik 102◦06.1 -15◦45.0

Shaula 96◦14.2 -37◦07.2Rasalhague 96◦01.2 12◦32.9

Etamin 90◦43.7 51◦29.4Kaus Aust. 83◦36.2 -34◦22.5

Vega 80◦35.2 38◦48.5Nunki 75◦51.2 -26◦16.2Altair 62◦02.6 8◦55.6

Peacock 53◦09.9 -56◦40.1Deneb 49◦27.5 45◦21.7

Enif 33◦41.3 9◦58.6Alnair 27◦36.1 -46◦51.5

Fomalhaut 15◦17.3 -29◦30.5Scheat 13◦47.5 28◦12.2Markab 13◦32.3 15◦19.4

2021/10/ SHA Mer.passVenus 109◦31.5 14:52Mars 159◦12.3 11:32

Jupiter 34◦55.6 19:46Saturn 50◦27.3 18:44

2021/10/ SHA Mer.passVenus 108◦22.6 14:52Mars 158◦35.1 11:30

Jupiter 34◦55.4 19:42Saturn 50◦26.4 18:41

2021/10/ SHA Mer.passVenus 107◦13.8 14:53Mars 157◦57.8 11:29

Jupiter 34◦55.0 19:39Saturn 50◦25.5 18:37

Horizontal paralaxVenus: 0.2Mars: 0.1

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2021 October 19 to Oct. 21

h Sun MoonTue GHA Dec GHA ν Dec d HP0 183◦44.8 -9◦58.7 19◦17.3 15.3 -0◦59.3 13.8 55.61 198◦45.0 -9◦59.6 33◦51.7 15.4 -0◦45.5 13.8 55.52 213◦45.1 -10◦00.5 48◦26.1 15.4 -0◦31.6 13.8 55.53 228◦45.2 -10◦01.4 63◦00.4 15.4 -0◦17.8 13.8 55.54 243◦45.3 -10◦02.3 77◦34.9 15.4 -0◦03.9 13.8 55.55 258◦45.4 -10◦03.2 92◦09.3 15.4 0◦09.9 13.8 55.56 273◦45.5 -10◦04.1 106◦43.7 15.5 0◦23.7 13.8 55.47 288◦45.6 -10◦05.0 121◦18.2 15.5 0◦37.5 13.8 55.48 303◦45.8 -10◦05.9 135◦52.7 15.5 0◦51.3 13.8 55.49 318◦45.9 -10◦06.8 150◦27.1 15.5 1◦05.1 13.8 55.410 333◦46.0 -10◦07.7 165◦01.6 15.5 1◦18.8 13.8 55.411 348◦46.1 -10◦08.6 179◦36.1 15.5 1◦32.6 13.7 55.412 3◦46.2 -10◦09.5 194◦10.7 15.5 1◦46.3 13.7 55.313 18◦46.3 -10◦10.4 208◦45.2 15.5 2◦00.0 13.7 55.314 33◦46.4 -10◦11.3 223◦19.7 15.5 2◦13.8 13.7 55.315 48◦46.5 -10◦12.2 237◦54.3 15.6 2◦27.4 13.7 55.316 63◦46.7 -10◦13.1 252◦28.8 15.6 2◦41.1 13.7 55.317 78◦46.8 -10◦14.0 267◦03.4 15.6 2◦54.8 13.6 55.318 93◦46.9 -10◦14.9 281◦38.0 15.6 3◦08.4 13.6 55.219 108◦47.0 -10◦15.7 296◦12.5 15.6 3◦22.0 13.6 55.220 123◦47.1 -10◦16.6 310◦47.1 15.6 3◦35.6 13.6 55.221 138◦47.2 -10◦17.5 325◦21.7 15.6 3◦49.2 13.6 55.222 153◦47.3 -10◦18.4 339◦56.3 15.6 4◦02.8 13.5 55.223 168◦47.4 -10◦19.3 354◦30.9 15.6 4◦16.3 13.5 55.2

SD.=16.1 d=-0.9 S.D.=15.2

Wed GHA Dec GHA ν Dec d HP0 183◦47.5 -10◦20.2 9◦05.4 15.6 4◦29.8 13.5 55.11 198◦47.7 -10◦21.1 23◦40.0 15.6 4◦43.3 13.5 55.12 213◦47.8 -10◦22.0 38◦14.6 15.6 4◦56.7 13.4 55.13 228◦47.9 -10◦22.9 52◦49.2 15.6 5◦10.1 13.4 55.14 243◦48.0 -10◦23.8 67◦23.7 15.6 5◦23.5 13.4 55.15 258◦48.1 -10◦24.7 81◦58.3 15.6 5◦36.9 13.4 55.16 273◦48.2 -10◦25.6 96◦32.9 15.6 5◦50.3 13.3 55.07 288◦48.3 -10◦26.5 111◦07.4 15.6 6◦03.6 13.3 55.08 303◦48.4 -10◦27.4 125◦42.0 15.5 6◦16.8 13.3 55.09 318◦48.5 -10◦28.3 140◦16.5 15.5 6◦30.1 13.2 55.010 333◦48.6 -10◦29.2 154◦51.0 15.5 6◦43.3 13.2 55.011 348◦48.7 -10◦30.1 169◦25.6 15.5 6◦56.5 13.2 55.012 3◦48.8 -10◦31.0 184◦00.1 15.5 7◦09.6 13.1 54.913 18◦49.0 -10◦31.9 198◦34.6 15.5 7◦22.7 13.1 54.914 33◦49.1 -10◦32.8 213◦09.1 15.5 7◦35.8 13.1 54.915 48◦49.2 -10◦33.6 227◦43.5 15.5 7◦48.9 13.0 54.916 63◦49.3 -10◦34.5 242◦18.0 15.5 8◦01.9 13.0 54.917 78◦49.4 -10◦35.4 256◦52.4 15.4 8◦14.8 12.9 54.918 93◦49.5 -10◦36.3 271◦26.9 15.4 8◦27.7 12.9 54.919 108◦49.6 -10◦37.2 286◦01.3 15.4 8◦40.6 12.9 54.820 123◦49.7 -10◦38.1 300◦35.7 15.4 8◦53.5 12.8 54.821 138◦49.8 -10◦39.0 315◦10.1 15.4 9◦06.3 12.8 54.822 153◦49.9 -10◦39.9 329◦44.4 15.4 9◦19.0 12.7 54.823 168◦50.0 -10◦40.8 344◦18.8 15.3 9◦31.7 12.7 54.8

SD.=16.1 d=-0.9 S.D.=15.0

Thu GHA Dec GHA ν Dec d HP0 183◦50.1 -10◦41.7 358◦53.1 15.3 9◦44.4 12.6 54.81 198◦50.2 -10◦42.5 13◦27.4 15.3 9◦57.0 12.6 54.72 213◦50.3 -10◦43.4 28◦01.7 15.3 10◦09.6 12.6 54.73 228◦50.4 -10◦44.3 42◦36.0 15.3 10◦22.1 12.5 54.74 243◦50.5 -10◦45.2 57◦10.2 15.2 10◦34.6 12.5 54.75 258◦50.6 -10◦46.1 71◦44.4 15.2 10◦47.1 12.4 54.76 273◦50.7 -10◦47.0 86◦18.6 15.2 10◦59.4 12.4 54.77 288◦50.8 -10◦47.9 100◦52.8 15.2 11◦11.8 12.3 54.78 303◦50.9 -10◦48.8 115◦26.9 15.1 11◦24.1 12.3 54.79 318◦51.0 -10◦49.7 130◦01.0 15.1 11◦36.3 12.2 54.610 333◦51.1 -10◦50.5 144◦35.1 15.1 11◦48.5 12.2 54.611 348◦51.2 -10◦51.4 159◦09.2 15.0 12◦00.6 12.1 54.612 3◦51.3 -10◦52.3 173◦43.2 15.0 12◦12.7 12.1 54.613 18◦51.4 -10◦53.2 188◦17.2 15.0 12◦24.7 12.0 54.614 33◦51.5 -10◦54.1 202◦51.2 15.0 12◦36.7 11.9 54.615 48◦51.6 -10◦55.0 217◦25.2 14.9 12◦48.6 11.9 54.616 63◦51.7 -10◦55.9 231◦59.1 14.9 13◦00.5 11.8 54.517 78◦51.8 -10◦56.7 246◦33.0 14.9 13◦12.3 11.8 54.518 93◦51.9 -10◦57.6 261◦06.8 14.8 13◦24.0 11.7 54.519 108◦52.0 -10◦58.5 275◦40.6 14.8 13◦35.7 11.6 54.520 123◦52.1 -10◦59.4 290◦14.4 14.8 13◦47.3 11.6 54.521 138◦52.2 -11◦00.3 304◦48.2 14.7 13◦58.9 11.5 54.522 153◦52.3 -11◦01.2 319◦21.9 14.7 14◦10.3 11.5 54.523 168◦52.4 -11◦02.0 333◦55.6 14.7 14◦21.8 11.4 54.5

SD.=16.1 d=-0.9 S.D.=14.9

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 05:18 06:36 07:50 15:38 16:51 18:0970 05:19 06:30 07:35 15:53 16:58 18:0968 05:20 06:24 07:23 16:05 17:03 18:0866 05:20 06:20 07:14 16:15 17:08 18:0864 05:21 06:16 07:05 16:23 17:12 18:0762 05:21 06:12 06:58 16:30 17:16 18:0760 05:21 06:09 06:52 16:36 17:19 18:0758 05:21 06:06 06:47 16:42 17:22 18:0856 05:21 06:04 06:42 16:47 17:25 18:0854 05:20 06:01 06:38 16:51 17:27 18:0852 05:20 05:59 06:34 16:55 17:29 18:0950 05:20 05:57 06:30 16:59 17:31 18:0945 05:18 05:53 06:22 17:06 17:36 18:1040 05:17 05:48 06:16 17:13 17:41 18:1235 05:15 05:45 06:10 17:19 17:44 18:1430 05:13 05:41 06:05 17:24 17:48 18:1620 05:08 05:34 05:57 17:33 17:55 18:2110 05:03 05:27 05:49 17:41 18:02 18:270 04:56 05:20 05:41 17:48 18:09 18:34-10 04:48 05:13 05:34 17:56 18:17 18:42-20 04:37 05:03 05:26 18:04 18:26 18:53-30 04:23 04:52 05:16 18:13 18:38 19:07-35 04:14 04:45 05:11 18:19 18:45 19:16-40 04:03 04:37 05:05 18:25 18:54 19:27-45 03:49 04:27 04:58 18:33 19:04 19:41-50 03:32 04:14 04:49 18:42 19:16 19:59-52 03:24 04:09 04:45 18:46 19:22 20:08-54 03:14 04:02 04:40 18:50 19:29 20:17-56 03:03 03:55 04:35 18:56 19:36 20:29-58 02:50 03:46 04:30 19:01 19:45 20:42-60 02:34 03:37 04:23 19:08 19:55 20:59

Moonrise MoonsetLat. Tue Wed Thu Tue Wed Thu72 16:37 16:09 15:33 04:51 06:50 08:5570 16:41 16:20 15:56 04:51 06:41 08:3468 16:44 16:30 16:14 04:51 06:34 08:1866 16:47 16:38 16:28 04:51 06:28 08:0564 16:49 16:44 16:40 04:51 06:23 07:5562 16:51 16:50 16:50 04:51 06:18 07:4660 16:52 16:55 16:59 04:51 06:15 07:3858 16:54 16:60 17:06 04:51 06:11 07:3156 16:55 17:04 17:13 04:51 06:08 07:2554 16:56 17:07 17:19 04:51 06:06 07:2052 16:57 17:10 17:25 04:51 06:03 07:1550 16:58 17:13 17:30 04:51 06:01 07:1145 17:01 17:20 17:41 04:51 05:57 07:0240 17:03 17:25 17:50 04:51 05:53 06:5435 17:04 17:30 17:58 04:51 05:49 06:4730 17:06 17:34 18:04 04:51 05:46 06:4220 17:08 17:42 18:16 04:51 05:41 06:3210 17:10 17:48 18:27 04:51 05:37 06:230 17:13 17:54 18:37 04:51 05:33 06:15-10 17:15 18:01 18:47 04:51 05:28 06:07-20 17:17 18:07 18:58 04:50 05:24 05:58-30 17:20 18:15 19:10 04:50 05:19 05:48-35 17:21 18:19 19:17 04:50 05:16 05:43-40 17:23 18:24 19:26 04:50 05:13 05:36-45 17:25 18:30 19:35 04:50 05:09 05:29-50 17:28 18:37 19:47 04:50 05:05 05:20-52 17:29 18:41 19:53 04:50 05:03 05:16-54 17:30 18:44 19:59 04:50 05:00 05:12-56 17:31 18:48 20:05 04:50 04:58 05:07-58 17:33 18:53 20:13 04:50 04:55 05:01-60 17:35 18:58 20:22 04:49 04:52 04:55

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower19 14:59 15:05 11:44 23:22 11:01 13(99%)20 15:10 15:15 11:44 00:04 11:43 14(100%)21 15:20 15:25 11:44 00:04 12:25 15(99%)

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October 22, 23 ,24 (Fri., Sat., Sun.)Aries Venus Mars Jupiter Saturn

Fri GHA GHA Dec GHA Dec GHA Dec GHA Dec0 30◦38.7 136◦43.8 -26◦01.1 187◦59.1 -8◦53.9 65◦33.1 -15◦08.2 81◦03.1 -19◦19.11 45◦41.2 151◦43.4 -26◦01.5 202◦60.0 -8◦54.5 80◦35.5 -15◦08.2 96◦05.5 -19◦19.12 60◦43.6 166◦43.0 -26◦01.8 218◦00.9 -8◦55.1 95◦37.9 -15◦08.2 111◦07.9 -19◦19.13 75◦46.1 181◦42.6 -26◦02.2 233◦01.8 -8◦55.8 110◦40.4 -15◦08.2 126◦10.3 -19◦19.14 90◦48.5 196◦42.2 -26◦02.6 248◦02.7 -8◦56.4 125◦42.8 -15◦08.1 141◦12.7 -19◦19.15 105◦51.0 211◦41.8 -26◦03.0 263◦03.6 -8◦57.0 140◦45.2 -15◦08.1 156◦15.2 -19◦19.16 120◦53.5 226◦41.4 -26◦03.4 278◦04.5 -8◦57.7 155◦47.7 -15◦08.1 171◦17.6 -19◦19.07 135◦55.9 241◦41.0 -26◦03.8 293◦05.4 -8◦58.3 170◦50.1 -15◦08.1 186◦20.0 -19◦19.08 150◦58.4 256◦40.6 -26◦04.2 308◦06.3 -8◦58.9 185◦52.5 -15◦08.1 201◦22.4 -19◦19.09 166◦00.9 271◦40.2 -26◦04.6 323◦07.2 -8◦59.6 200◦55.0 -15◦08.1 216◦24.8 -19◦19.010 181◦03.3 286◦39.8 -26◦04.9 338◦08.1 -9◦00.2 215◦57.4 -15◦08.0 231◦27.2 -19◦19.011 196◦05.8 301◦39.4 -26◦05.3 353◦09.0 -9◦00.8 230◦59.8 -15◦08.0 246◦29.7 -19◦19.012 211◦08.3 316◦39.0 -26◦05.7 8◦09.9 -9◦01.4 246◦02.3 -15◦08.0 261◦32.1 -19◦19.013 226◦10.7 331◦38.7 -26◦06.1 23◦10.8 -9◦02.1 261◦04.7 -15◦08.0 276◦34.5 -19◦19.014 241◦13.2 346◦38.3 -26◦06.5 38◦11.7 -9◦02.7 276◦07.1 -15◦08.0 291◦36.9 -19◦18.915 256◦15.7 1◦37.9 -26◦06.8 53◦12.6 -9◦03.3 291◦09.6 -15◦08.0 306◦39.3 -19◦18.916 271◦18.1 16◦37.5 -26◦07.2 68◦13.5 -9◦04.0 306◦12.0 -15◦07.9 321◦41.7 -19◦18.917 286◦20.6 31◦37.1 -26◦07.6 83◦14.4 -9◦04.6 321◦14.4 -15◦07.9 336◦44.1 -19◦18.918 301◦23.0 46◦36.7 -26◦08.0 98◦15.3 -9◦05.2 336◦16.9 -15◦07.9 351◦46.6 -19◦18.919 316◦25.5 61◦36.3 -26◦08.4 113◦16.2 -9◦05.8 351◦19.3 -15◦07.9 6◦49.0 -19◦18.920 331◦28.0 76◦35.9 -26◦08.7 128◦17.1 -9◦06.5 6◦21.7 -15◦07.9 21◦51.4 -19◦18.921 346◦30.4 91◦35.5 -26◦09.1 143◦18.0 -9◦07.1 21◦24.1 -15◦07.8 36◦53.8 -19◦18.922 1◦32.9 106◦35.1 -26◦09.5 158◦18.9 -9◦07.7 36◦26.6 -15◦07.8 51◦56.2 -19◦18.823 16◦35.4 121◦34.8 -26◦09.8 173◦19.8 -9◦08.3 51◦29.0 -15◦07.8 66◦58.6 -19◦18.8Mer.pass.:21:53 v-0.4 d-0.4 m-4.2 v0.9 d-0.6 m1.7 v2.4 d0.0 m-2.4 v2.4 d0.0 m0.6

Sat GHA GHA Dec GHA Dec GHA Dec GHA Dec0 31◦37.8 136◦34.4 -26◦10.2 188◦20.7 -9◦09.0 66◦31.4 -15◦07.8 82◦01.0 -19◦18.81 46◦40.3 151◦34.0 -26◦10.6 203◦21.6 -9◦09.6 81◦33.8 -15◦07.8 97◦03.5 -19◦18.82 61◦42.8 166◦33.6 -26◦10.9 218◦22.5 -9◦10.2 96◦36.3 -15◦07.8 112◦05.9 -19◦18.83 76◦45.2 181◦33.2 -26◦11.3 233◦23.4 -9◦10.9 111◦38.7 -15◦07.7 127◦08.3 -19◦18.84 91◦47.7 196◦32.8 -26◦11.7 248◦24.3 -9◦11.5 126◦41.1 -15◦07.7 142◦10.7 -19◦18.85 106◦50.1 211◦32.4 -26◦12.0 263◦25.2 -9◦12.1 141◦43.6 -15◦07.7 157◦13.1 -19◦18.86 121◦52.6 226◦32.0 -26◦12.4 278◦26.1 -9◦12.7 156◦46.0 -15◦07.7 172◦15.5 -19◦18.77 136◦55.1 241◦31.6 -26◦12.8 293◦27.0 -9◦13.4 171◦48.4 -15◦07.7 187◦17.9 -19◦18.78 151◦57.5 256◦31.3 -26◦13.1 308◦27.9 -9◦14.0 186◦50.8 -15◦07.6 202◦20.3 -19◦18.79 167◦00.0 271◦30.9 -26◦13.5 323◦28.8 -9◦14.6 201◦53.3 -15◦07.6 217◦22.8 -19◦18.710 182◦02.5 286◦30.5 -26◦13.8 338◦29.7 -9◦15.2 216◦55.7 -15◦07.6 232◦25.2 -19◦18.711 197◦04.9 301◦30.1 -26◦14.2 353◦30.6 -9◦15.9 231◦58.1 -15◦07.6 247◦27.6 -19◦18.712 212◦07.4 316◦29.7 -26◦14.6 8◦31.5 -9◦16.5 247◦00.5 -15◦07.6 262◦30.0 -19◦18.713 227◦09.9 331◦29.3 -26◦14.9 23◦32.4 -9◦17.1 262◦02.9 -15◦07.5 277◦32.4 -19◦18.614 242◦12.3 346◦28.9 -26◦15.3 38◦33.3 -9◦17.7 277◦05.4 -15◦07.5 292◦34.8 -19◦18.615 257◦14.8 1◦28.6 -26◦15.6 53◦34.2 -9◦18.4 292◦07.8 -15◦07.5 307◦37.2 -19◦18.616 272◦17.3 16◦28.2 -26◦16.0 68◦35.1 -9◦19.0 307◦10.2 -15◦07.5 322◦39.6 -19◦18.617 287◦19.7 31◦27.8 -26◦16.3 83◦36.0 -9◦19.6 322◦12.6 -15◦07.5 337◦42.0 -19◦18.618 302◦22.2 46◦27.4 -26◦16.7 98◦36.9 -9◦20.3 337◦15.1 -15◦07.4 352◦44.4 -19◦18.619 317◦24.6 61◦27.0 -26◦17.0 113◦37.8 -9◦20.9 352◦17.5 -15◦07.4 7◦46.9 -19◦18.620 332◦27.1 76◦26.6 -26◦17.4 128◦38.7 -9◦21.5 7◦19.9 -15◦07.4 22◦49.3 -19◦18.521 347◦29.6 91◦26.3 -26◦17.7 143◦39.6 -9◦22.1 22◦22.3 -15◦07.4 37◦51.7 -19◦18.522 2◦32.0 106◦25.9 -26◦18.1 158◦40.5 -9◦22.8 37◦24.7 -15◦07.4 52◦54.1 -19◦18.523 17◦34.5 121◦25.5 -26◦18.4 173◦41.4 -9◦23.4 52◦27.2 -15◦07.3 67◦56.5 -19◦18.5Mer.pass.:21:49 v-0.4 d-0.4 m-4.2 v0.9 d-0.6 m1.7 v2.4 d0.0 m-2.4 v2.4 d0.0 m0.6

Sun GHA GHA Dec GHA Dec GHA Dec GHA Dec0 32◦37.0 136◦25.1 -26◦18.8 188◦42.3 -9◦24.0 67◦29.6 -15◦07.3 82◦58.9 -19◦18.51 47◦39.4 151◦24.7 -26◦19.1 203◦43.2 -9◦24.6 82◦32.0 -15◦07.3 98◦01.3 -19◦18.52 62◦41.9 166◦24.3 -26◦19.4 218◦44.1 -9◦25.3 97◦34.4 -15◦07.3 113◦03.7 -19◦18.53 77◦44.4 181◦24.0 -26◦19.8 233◦45.0 -9◦25.9 112◦36.8 -15◦07.3 128◦06.1 -19◦18.54 92◦46.8 196◦23.6 -26◦20.1 248◦45.9 -9◦26.5 127◦39.2 -15◦07.2 143◦08.5 -19◦18.45 107◦49.3 211◦23.2 -26◦20.5 263◦46.8 -9◦27.1 142◦41.7 -15◦07.2 158◦10.9 -19◦18.46 122◦51.8 226◦22.8 -26◦20.8 278◦47.7 -9◦27.8 157◦44.1 -15◦07.2 173◦13.4 -19◦18.47 137◦54.2 241◦22.4 -26◦21.1 293◦48.6 -9◦28.4 172◦46.5 -15◦07.2 188◦15.8 -19◦18.48 152◦56.7 256◦22.1 -26◦21.5 308◦49.5 -9◦29.0 187◦48.9 -15◦07.1 203◦18.2 -19◦18.49 167◦59.1 271◦21.7 -26◦21.8 323◦50.4 -9◦29.6 202◦51.3 -15◦07.1 218◦20.6 -19◦18.410 183◦01.6 286◦21.3 -26◦22.1 338◦51.3 -9◦30.3 217◦53.7 -15◦07.1 233◦23.0 -19◦18.411 198◦04.1 301◦20.9 -26◦22.5 353◦52.2 -9◦30.9 232◦56.2 -15◦07.1 248◦25.4 -19◦18.312 213◦06.5 316◦20.6 -26◦22.8 8◦53.1 -9◦31.5 247◦58.6 -15◦07.1 263◦27.8 -19◦18.313 228◦09.0 331◦20.2 -26◦23.1 23◦54.0 -9◦32.1 263◦01.0 -15◦07.0 278◦30.2 -19◦18.314 243◦11.5 346◦19.8 -26◦23.5 38◦54.9 -9◦32.8 278◦03.4 -15◦07.0 293◦32.6 -19◦18.315 258◦13.9 1◦19.4 -26◦23.8 53◦55.8 -9◦33.4 293◦05.8 -15◦07.0 308◦35.0 -19◦18.316 273◦16.4 16◦19.0 -26◦24.1 68◦56.6 -9◦34.0 308◦08.2 -15◦07.0 323◦37.4 -19◦18.317 288◦18.9 31◦18.7 -26◦24.4 83◦57.5 -9◦34.6 323◦10.6 -15◦06.9 338◦39.8 -19◦18.218 303◦21.3 46◦18.3 -26◦24.8 98◦58.4 -9◦35.2 338◦13.1 -15◦06.9 353◦42.2 -19◦18.219 318◦23.8 61◦17.9 -26◦25.1 113◦59.3 -9◦35.9 353◦15.5 -15◦06.9 8◦44.6 -19◦18.220 333◦26.3 76◦17.5 -26◦25.4 129◦00.2 -9◦36.5 8◦17.9 -15◦06.9 23◦47.0 -19◦18.221 348◦28.7 91◦17.2 -26◦25.7 144◦01.1 -9◦37.1 23◦20.3 -15◦06.8 38◦49.4 -19◦18.222 3◦31.2 106◦16.8 -26◦26.0 159◦02.0 -9◦37.7 38◦22.7 -15◦06.8 53◦51.9 -19◦18.223 18◦33.6 121◦16.4 -26◦26.4 174◦02.9 -9◦38.4 53◦25.1 -15◦06.8 68◦54.3 -19◦18.2Mer.pass.:21:45 v-0.4 d-0.3 m-4.2 v0.9 d-0.6 m1.7 v2.4 d0.0 m-2.4 v2.4 d0.0 m0.6

StarsSHA Dec

Alpheratz 357◦37.2 29◦12.7Ankaa 353◦09.4 -42◦11.4

Schedar 349◦33.5 56◦39.5Diphda 348◦49.6 -17◦52.1

Achernar 335◦21.7 -57◦07.6Hamal 327◦53.9 23◦34.0Polaris 314◦48.7 89◦21.2Akamar 315◦13.4 -40◦13.0Menkar 314◦08.6 4◦10.5Mirfak 308◦31.6 49◦56.2

Aldebaran 290◦42.4 16◦33.2Rigel 281◦06.2 -8◦10.5

Capella 280◦25.5 46◦01.1Bellatrix 278◦25.5 6◦22.2Elnath 278◦05.0 28◦37.5Alnilam 275◦40.2 -1◦11.2

Betelgeuse 270◦54.8 7◦24.7Canopus 263◦53.3 -52◦42.1

Sirius 258◦28.4 -16◦44.4Adara 255◦07.8 -28◦59.8

Procyon 244◦53.5 5◦10.4Pollux 243◦20.4 27◦58.4Avior 234◦15.8 -59◦34.3Suhail 222◦48.3 -43◦30.9

Miaplacidus 221◦39.0 -69◦48.0Alphard 217◦50.5 -8◦45.0Regulus 207◦37.4 11◦51.8Dubhe 193◦44.8 61◦38.0

Denebola 182◦27.9 14◦27.2Gienah 175◦46.6 -17◦39.5Acrux 173◦03.6 -63◦12.9

Gacrux 171◦55.1 -57◦13.8Alioth 166◦15.9 55◦50.6Spica 158◦25.4 -11◦16.3Alcaid 152◦54.6 49◦12.4Hadar 148◦40.4 -60◦28.5

Menkent 148◦01.2 -36◦28.4Arcturus 145◦50.5 19◦04.6

Rigil Kent. 139◦44.6 -60◦55.4Zubenelg. 136◦59.3 -16◦07.7Kochab 137◦21.0 74◦04.1

Alphecca 126◦06.4 26◦38.7Antares 112◦19.4 -26◦28.7

Atria 107◦16.4 -69◦04.1Sabik 102◦06.1 -15◦45.0

Shaula 96◦14.2 -37◦07.2Rasalhague 96◦01.2 12◦32.9

Etamin 90◦43.7 51◦29.4Kaus Aust. 83◦36.2 -34◦22.5

Vega 80◦35.2 38◦48.5Nunki 75◦51.2 -26◦16.2Altair 62◦02.6 8◦55.6

Peacock 53◦09.9 -56◦40.1Deneb 49◦27.5 45◦21.7

Enif 33◦41.3 9◦58.6Alnair 27◦36.1 -46◦51.5

Fomalhaut 15◦17.3 -29◦30.5Scheat 13◦47.6 28◦12.2Markab 13◦32.3 15◦19.4

2021/10/ SHA Mer.passVenus 106◦05.1 14:53Mars 157◦20.4 11:27

Jupiter 34◦54.4 19:35Saturn 50◦24.4 18:33

2021/10/ SHA Mer.passVenus 104◦56.5 14:54Mars 156◦42.9 11:26

Jupiter 34◦53.6 19:31Saturn 50◦23.2 18:29

2021/10/ SHA Mer.passVenus 103◦48.1 14:55Mars 156◦05.3 11:24

Jupiter 34◦52.6 19:27Saturn 50◦21.9 18:25

Horizontal paralaxVenus: 0.2Mars: 0.1

198

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2021 October 22 to Oct. 24

h Sun MoonFri GHA Dec GHA ν Dec d HP0 183◦52.5 -11◦02.9 348◦29.2 14.6 14◦33.2 11.3 54.51 198◦52.6 -11◦03.8 3◦02.9 14.6 14◦44.5 11.3 54.42 213◦52.7 -11◦04.7 17◦36.4 14.6 14◦55.7 11.2 54.43 228◦52.8 -11◦05.6 32◦10.0 14.5 15◦06.9 11.1 54.44 243◦52.9 -11◦06.5 46◦43.5 14.5 15◦18.0 11.1 54.45 258◦53.0 -11◦07.3 61◦16.9 14.4 15◦29.0 11.0 54.46 273◦53.1 -11◦08.2 75◦50.4 14.4 15◦40.0 10.9 54.47 288◦53.2 -11◦09.1 90◦23.8 14.4 15◦50.9 10.9 54.48 303◦53.2 -11◦10.0 104◦57.1 14.3 16◦01.8 10.8 54.49 318◦53.3 -11◦10.9 119◦30.4 14.3 16◦12.5 10.7 54.410 333◦53.4 -11◦11.7 134◦03.7 14.2 16◦23.2 10.7 54.311 348◦53.5 -11◦12.6 148◦36.9 14.2 16◦33.9 10.6 54.312 3◦53.6 -11◦13.5 163◦10.1 14.2 16◦44.4 10.5 54.313 18◦53.7 -11◦14.4 177◦43.2 14.1 16◦54.9 10.4 54.314 33◦53.8 -11◦15.3 192◦16.3 14.1 17◦05.3 10.4 54.315 48◦53.9 -11◦16.1 206◦49.4 14.0 17◦15.6 10.3 54.316 63◦54.0 -11◦17.0 221◦22.4 14.0 17◦25.9 10.2 54.317 78◦54.1 -11◦17.9 235◦55.4 14.0 17◦36.1 10.1 54.318 93◦54.2 -11◦18.8 250◦28.3 13.9 17◦46.2 10.1 54.319 108◦54.3 -11◦19.7 265◦01.2 13.9 17◦56.2 10.0 54.320 123◦54.3 -11◦20.5 279◦34.1 13.8 18◦06.2 9.9 54.321 138◦54.4 -11◦21.4 294◦06.8 13.8 18◦16.0 9.8 54.222 153◦54.5 -11◦22.3 308◦39.6 13.7 18◦25.8 9.8 54.223 168◦54.6 -11◦23.2 323◦12.3 13.7 18◦35.5 9.7 54.2

SD.=16.1 d=-0.9 S.D.=14.9

Sat GHA Dec GHA ν Dec d HP0 183◦54.7 -11◦24.0 337◦45.0 13.6 18◦45.2 9.6 54.21 198◦54.8 -11◦24.9 352◦17.6 13.6 18◦54.7 9.5 54.22 213◦54.9 -11◦25.8 6◦50.2 13.5 19◦04.2 9.4 54.23 228◦55.0 -11◦26.7 21◦22.7 13.5 19◦13.6 9.3 54.24 243◦55.1 -11◦27.5 35◦55.2 13.5 19◦22.9 9.3 54.25 258◦55.1 -11◦28.4 50◦27.6 13.4 19◦32.1 9.2 54.26 273◦55.2 -11◦29.3 64◦60.0 13.4 19◦41.2 9.1 54.27 288◦55.3 -11◦30.2 79◦32.3 13.3 19◦50.2 9.0 54.28 303◦55.4 -11◦31.0 94◦04.6 13.3 19◦59.2 8.9 54.29 318◦55.5 -11◦31.9 108◦36.8 13.2 20◦08.1 8.8 54.210 333◦55.6 -11◦32.8 123◦09.0 13.2 20◦16.8 8.7 54.111 348◦55.7 -11◦33.6 137◦41.2 13.1 20◦25.5 8.6 54.112 3◦55.7 -11◦34.5 152◦13.3 13.1 20◦34.1 8.6 54.113 18◦55.8 -11◦35.4 166◦45.3 13.0 20◦42.6 8.5 54.114 33◦55.9 -11◦36.3 181◦17.3 13.0 20◦51.0 8.4 54.115 48◦56.0 -11◦37.1 195◦49.3 12.9 20◦59.4 8.3 54.116 63◦56.1 -11◦38.0 210◦21.2 12.9 21◦07.6 8.2 54.117 78◦56.2 -11◦38.9 224◦53.1 12.8 21◦15.7 8.1 54.118 93◦56.3 -11◦39.8 239◦24.9 12.8 21◦23.8 8.0 54.119 108◦56.3 -11◦40.6 253◦56.7 12.7 21◦31.7 7.9 54.120 123◦56.4 -11◦41.5 268◦28.4 12.7 21◦39.6 7.8 54.121 138◦56.5 -11◦42.4 283◦00.0 12.6 21◦47.3 7.7 54.122 153◦56.6 -11◦43.2 297◦31.7 12.6 21◦55.0 7.6 54.123 168◦56.7 -11◦44.1 312◦03.2 12.5 22◦02.6 7.5 54.1

SD.=16.1 d=-0.9 S.D.=14.8

Sun GHA Dec GHA ν Dec d HP0 183◦56.7 -11◦45.0 326◦34.7 12.5 22◦10.0 7.4 54.11 198◦56.8 -11◦45.8 341◦06.2 12.5 22◦17.4 7.3 54.12 213◦56.9 -11◦46.7 355◦37.7 12.4 22◦24.7 7.2 54.13 228◦57.0 -11◦47.6 10◦09.0 12.4 22◦31.8 7.1 54.14 243◦57.1 -11◦48.4 24◦40.4 12.3 22◦38.9 7.0 54.15 258◦57.2 -11◦49.3 39◦11.7 12.3 22◦45.9 6.9 54.16 273◦57.2 -11◦50.2 53◦42.9 12.2 22◦52.7 6.8 54.17 288◦57.3 -11◦51.0 68◦14.1 12.2 22◦59.5 6.7 54.18 303◦57.4 -11◦51.9 82◦45.2 12.1 23◦06.1 6.6 54.19 318◦57.5 -11◦52.8 97◦16.3 12.1 23◦12.7 6.5 54.110 333◦57.5 -11◦53.6 111◦47.4 12.0 23◦19.1 6.4 54.111 348◦57.6 -11◦54.5 126◦18.4 12.0 23◦25.5 6.3 54.112 3◦57.7 -11◦55.4 140◦49.3 11.9 23◦31.7 6.2 54.113 18◦57.8 -11◦56.2 155◦20.3 11.9 23◦37.8 6.1 54.114 33◦57.9 -11◦57.1 169◦51.1 11.8 23◦43.9 6.0 54.115 48◦57.9 -11◦58.0 184◦21.9 11.8 23◦49.8 5.9 54.116 63◦58.0 -11◦58.8 198◦52.7 11.8 23◦55.6 5.8 54.117 78◦58.1 -11◦59.7 213◦23.5 11.7 24◦01.3 5.6 54.118 93◦58.2 -12◦00.6 227◦54.2 11.7 24◦06.9 5.5 54.119 108◦58.2 -12◦01.4 242◦24.8 11.6 24◦12.4 5.4 54.120 123◦58.3 -12◦02.3 256◦55.4 11.6 24◦17.7 5.3 54.121 138◦58.4 -12◦03.1 271◦26.0 11.5 24◦23.0 5.2 54.122 153◦58.5 -12◦04.0 285◦56.5 11.5 24◦28.1 5.1 54.123 168◦58.5 -12◦04.9 300◦27.0 11.5 24◦33.2 5.0 54.1

SD.=16.1 d=-0.9 S.D.=14.8

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 05:30 06:50 08:06 15:21 16:37 17:5670 05:30 06:42 07:49 15:38 16:45 17:5768 05:30 06:35 07:35 15:52 16:52 17:5766 05:29 06:29 07:24 16:03 16:58 17:5864 05:29 06:24 07:15 16:13 17:03 17:5862 05:28 06:20 07:07 16:21 17:07 17:5960 05:28 06:16 06:60 16:28 17:11 17:6058 05:27 06:13 06:54 16:34 17:15 18:0056 05:26 06:10 06:48 16:39 17:18 18:0154 05:26 06:07 06:43 16:44 17:21 18:0252 05:25 06:04 06:39 16:49 17:23 18:0350 05:24 06:02 06:35 16:53 17:26 18:0445 05:22 05:56 06:26 17:02 17:32 18:0640 05:20 05:51 06:19 17:09 17:36 18:0835 05:17 05:47 06:13 17:15 17:41 18:1130 05:15 05:43 06:07 17:21 17:45 18:1320 05:09 05:35 05:58 17:31 17:53 18:1910 05:03 05:28 05:49 17:39 18:01 18:260 04:55 05:20 05:41 17:48 18:09 18:33-10 04:46 05:11 05:33 17:56 18:18 18:43-20 04:35 05:01 05:24 18:05 18:28 18:54-30 04:19 04:49 05:13 18:16 18:40 19:10-35 04:10 04:41 05:07 18:22 18:48 19:20-40 03:58 04:32 05:01 18:29 18:57 19:31-45 03:44 04:22 04:53 18:37 19:08 19:46-50 03:25 04:08 04:43 18:47 19:22 20:05-52 03:16 04:02 04:38 18:51 19:28 20:15-54 03:05 03:55 04:33 18:56 19:35 20:25-56 02:53 03:47 04:28 19:02 19:44 20:38-58 02:39 03:38 04:22 19:08 19:53 20:52-60 02:21 03:27 04:15 19:15 20:04 21:11

Moonrise MoonsetLat. Fri Sat Sun Fri Sat Sun72 14:28 –:– –:– 11:32 –:– –:–70 15:20 –:– –:– 10:41 –:– –:–68 15:52 15:12 –:– 10:10 12:24 –:–66 16:16 15:60 15:17 09:47 11:37 13:5964 16:35 16:30 16:25 09:29 11:08 12:5162 16:51 16:53 17:00 09:14 10:45 12:1660 17:04 17:12 17:26 09:02 10:27 11:5158 17:15 17:28 17:46 08:52 10:12 11:3156 17:25 17:41 18:03 08:42 09:59 11:1454 17:34 17:52 18:17 08:34 09:48 11:0052 17:42 18:03 18:30 08:27 09:39 10:4850 17:49 18:12 18:41 08:21 09:30 10:3745 18:04 18:31 19:04 08:07 09:11 10:1540 18:17 18:47 19:23 07:55 08:57 09:5735 18:27 19:01 19:39 07:46 08:44 09:4230 18:37 19:12 19:52 07:37 08:33 09:2920 18:53 19:33 20:15 07:23 08:14 09:0710 19:07 19:50 20:36 07:10 07:58 08:470 19:21 20:07 20:54 06:58 07:43 08:30-10 19:35 20:23 21:13 06:46 07:28 08:12-20 19:49 20:41 21:34 06:34 07:12 07:53-30 20:06 21:02 21:58 06:19 06:53 07:31-35 20:16 21:14 22:11 06:11 06:42 07:18-40 20:27 21:28 22:28 06:02 06:30 07:03-45 20:40 21:45 22:47 05:51 06:16 06:46-50 20:57 22:05 23:11 05:38 05:58 06:24-52 21:04 22:15 23:23 05:32 05:50 06:14-54 21:13 22:26 23:37 05:25 05:41 06:02-56 21:23 22:39 23:52 05:17 05:31 05:49-58 21:34 22:54 –:– 05:09 05:19 05:34-60 21:47 23:12 –:– 04:59 05:06 05:16

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower22 15:30 15:34 11:44 00:47 13:09 16(97%)23 15:39 15:43 11:44 01:31 13:54 17(93%)24 15:47 15:51 11:44 02:18 14:41 18(87%)

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October 25, 26 ,27 (Mon., Tue., Wed.)Aries Venus Mars Jupiter Saturn

Mon GHA GHA Dec GHA Dec GHA Dec GHA Dec0 33◦36.1 136◦16.0 -26◦26.7 189◦03.8 -9◦39.0 68◦27.5 -15◦06.8 83◦56.7 -19◦18.11 48◦38.6 151◦15.7 -26◦27.0 204◦04.7 -9◦39.6 83◦29.9 -15◦06.7 98◦59.1 -19◦18.12 63◦41.0 166◦15.3 -26◦27.3 219◦05.6 -9◦40.2 98◦32.3 -15◦06.7 114◦01.5 -19◦18.13 78◦43.5 181◦14.9 -26◦27.6 234◦06.5 -9◦40.9 113◦34.8 -15◦06.7 129◦03.9 -19◦18.14 93◦46.0 196◦14.5 -26◦27.9 249◦07.4 -9◦41.5 128◦37.2 -15◦06.7 144◦06.3 -19◦18.15 108◦48.4 211◦14.2 -26◦28.3 264◦08.3 -9◦42.1 143◦39.6 -15◦06.7 159◦08.7 -19◦18.16 123◦50.9 226◦13.8 -26◦28.6 279◦09.2 -9◦42.7 158◦42.0 -15◦06.6 174◦11.1 -19◦18.17 138◦53.4 241◦13.4 -26◦28.9 294◦10.1 -9◦43.3 173◦44.4 -15◦06.6 189◦13.5 -19◦18.08 153◦55.8 256◦13.1 -26◦29.2 309◦10.9 -9◦44.0 188◦46.8 -15◦06.6 204◦15.9 -19◦18.09 168◦58.3 271◦12.7 -26◦29.5 324◦11.8 -9◦44.6 203◦49.2 -15◦06.6 219◦18.3 -19◦18.010 184◦00.7 286◦12.3 -26◦29.8 339◦12.7 -9◦45.2 218◦51.6 -15◦06.5 234◦20.7 -19◦18.011 199◦03.2 301◦11.9 -26◦30.1 354◦13.6 -9◦45.8 233◦54.0 -15◦06.5 249◦23.1 -19◦18.012 214◦05.7 316◦11.6 -26◦30.4 9◦14.5 -9◦46.5 248◦56.4 -15◦06.5 264◦25.5 -19◦18.013 229◦08.1 331◦11.2 -26◦30.7 24◦15.4 -9◦47.1 263◦58.8 -15◦06.5 279◦27.9 -19◦17.914 244◦10.6 346◦10.8 -26◦31.0 39◦16.3 -9◦47.7 279◦01.2 -15◦06.4 294◦30.3 -19◦17.915 259◦13.1 1◦10.5 -26◦31.3 54◦17.2 -9◦48.3 294◦03.6 -15◦06.4 309◦32.7 -19◦17.916 274◦15.5 16◦10.1 -26◦31.6 69◦18.1 -9◦48.9 309◦06.0 -15◦06.4 324◦35.1 -19◦17.917 289◦18.0 31◦09.7 -26◦31.9 84◦19.0 -9◦49.6 324◦08.5 -15◦06.3 339◦37.5 -19◦17.918 304◦20.5 46◦09.4 -26◦32.2 99◦19.9 -9◦50.2 339◦10.9 -15◦06.3 354◦39.9 -19◦17.919 319◦22.9 61◦09.0 -26◦32.5 114◦20.7 -9◦50.8 354◦13.3 -15◦06.3 9◦42.3 -19◦17.820 334◦25.4 76◦08.6 -26◦32.8 129◦21.6 -9◦51.4 9◦15.7 -15◦06.3 24◦44.7 -19◦17.821 349◦27.9 91◦08.3 -26◦33.1 144◦22.5 -9◦52.0 24◦18.1 -15◦06.2 39◦47.1 -19◦17.822 4◦30.3 106◦07.9 -26◦33.4 159◦23.4 -9◦52.7 39◦20.5 -15◦06.2 54◦49.5 -19◦17.823 19◦32.8 121◦07.5 -26◦33.7 174◦24.3 -9◦53.3 54◦22.9 -15◦06.2 69◦51.9 -19◦17.8Mer.pass.:21:42 v-0.4 d-0.3 m-4.2 v0.9 d-0.6 m1.7 v2.4 d0.0 m-2.4 v2.4 d0.0 m0.6

Tue GHA GHA Dec GHA Dec GHA Dec GHA Dec0 34◦35.2 136◦07.2 -26◦34.0 189◦25.2 -9◦53.9 69◦25.3 -15◦06.2 84◦54.3 -19◦17.81 49◦37.7 151◦06.8 -26◦34.3 204◦26.1 -9◦54.5 84◦27.7 -15◦06.1 99◦56.7 -19◦17.82 64◦40.2 166◦06.4 -26◦34.6 219◦27.0 -9◦55.1 99◦30.1 -15◦06.1 114◦59.1 -19◦17.73 79◦42.6 181◦06.1 -26◦34.9 234◦27.9 -9◦55.8 114◦32.5 -15◦06.1 130◦01.5 -19◦17.74 94◦45.1 196◦05.7 -26◦35.2 249◦28.8 -9◦56.4 129◦34.9 -15◦06.1 145◦03.9 -19◦17.75 109◦47.6 211◦05.4 -26◦35.5 264◦29.6 -9◦57.0 144◦37.3 -15◦06.0 160◦06.3 -19◦17.76 124◦50.0 226◦05.0 -26◦35.7 279◦30.5 -9◦57.6 159◦39.7 -15◦06.0 175◦08.7 -19◦17.77 139◦52.5 241◦04.6 -26◦36.0 294◦31.4 -9◦58.2 174◦42.1 -15◦06.0 190◦11.1 -19◦17.78 154◦55.0 256◦04.3 -26◦36.3 309◦32.3 -9◦58.9 189◦44.5 -15◦05.9 205◦13.5 -19◦17.69 169◦57.4 271◦03.9 -26◦36.6 324◦33.2 -9◦59.5 204◦46.9 -15◦05.9 220◦15.9 -19◦17.610 184◦59.9 286◦03.5 -26◦36.9 339◦34.1 -10◦00.1 219◦49.3 -15◦05.9 235◦18.3 -19◦17.611 200◦02.4 301◦03.2 -26◦37.2 354◦35.0 -10◦00.7 234◦51.7 -15◦05.9 250◦20.7 -19◦17.612 215◦04.8 316◦02.8 -26◦37.4 9◦35.9 -10◦01.3 249◦54.1 -15◦05.8 265◦23.1 -19◦17.613 230◦07.3 331◦02.5 -26◦37.7 24◦36.8 -10◦02.0 264◦56.5 -15◦05.8 280◦25.5 -19◦17.614 245◦09.7 346◦02.1 -26◦38.0 39◦37.6 -10◦02.6 279◦58.9 -15◦05.8 295◦27.9 -19◦17.515 260◦12.2 1◦01.7 -26◦38.3 54◦38.5 -10◦03.2 295◦01.3 -15◦05.8 310◦30.3 -19◦17.516 275◦14.7 16◦01.4 -26◦38.5 69◦39.4 -10◦03.8 310◦03.7 -15◦05.7 325◦32.7 -19◦17.517 290◦17.1 31◦01.0 -26◦38.8 84◦40.3 -10◦04.4 325◦06.1 -15◦05.7 340◦35.1 -19◦17.518 305◦19.6 46◦00.7 -26◦39.1 99◦41.2 -10◦05.1 340◦08.5 -15◦05.7 355◦37.5 -19◦17.519 320◦22.1 61◦00.3 -26◦39.4 114◦42.1 -10◦05.7 355◦10.9 -15◦05.6 10◦39.9 -19◦17.520 335◦24.5 75◦60.0 -26◦39.6 129◦43.0 -10◦06.3 10◦13.3 -15◦05.6 25◦42.3 -19◦17.421 350◦27.0 90◦59.6 -26◦39.9 144◦43.8 -10◦06.9 25◦15.7 -15◦05.6 40◦44.7 -19◦17.422 5◦29.5 105◦59.2 -26◦40.2 159◦44.7 -10◦07.5 40◦18.1 -15◦05.5 55◦47.1 -19◦17.423 20◦31.9 120◦58.9 -26◦40.4 174◦45.6 -10◦08.2 55◦20.4 -15◦05.5 70◦49.5 -19◦17.4Mer.pass.:21:38 v-0.4 d-0.3 m-4.2 v0.9 d-0.6 m1.7 v2.4 d0.0 m-2.4 v2.4 d0.0 m0.6

Wed GHA GHA Dec GHA Dec GHA Dec GHA Dec0 35◦34.4 135◦58.5 -26◦40.7 189◦46.5 -10◦08.8 70◦22.8 -15◦05.5 85◦51.9 -19◦17.41 50◦36.9 150◦58.2 -26◦41.0 204◦47.4 -10◦09.4 85◦25.2 -15◦05.5 100◦54.3 -19◦17.42 65◦39.3 165◦57.8 -26◦41.2 219◦48.3 -10◦10.0 100◦27.6 -15◦05.4 115◦56.7 -19◦17.33 80◦41.8 180◦57.5 -26◦41.5 234◦49.2 -10◦10.6 115◦30.0 -15◦05.4 130◦59.1 -19◦17.34 95◦44.2 195◦57.1 -26◦41.8 249◦50.0 -10◦11.2 130◦32.4 -15◦05.4 146◦01.5 -19◦17.35 110◦46.7 210◦56.8 -26◦42.0 264◦50.9 -10◦11.9 145◦34.8 -15◦05.3 161◦03.9 -19◦17.36 125◦49.2 225◦56.4 -26◦42.3 279◦51.8 -10◦12.5 160◦37.2 -15◦05.3 176◦06.3 -19◦17.37 140◦51.6 240◦56.1 -26◦42.6 294◦52.7 -10◦13.1 175◦39.6 -15◦05.3 191◦08.6 -19◦17.28 155◦54.1 255◦55.7 -26◦42.8 309◦53.6 -10◦13.7 190◦42.0 -15◦05.3 206◦11.0 -19◦17.29 170◦56.6 270◦55.4 -26◦43.1 324◦54.5 -10◦14.3 205◦44.4 -15◦05.2 221◦13.4 -19◦17.210 185◦59.0 285◦55.0 -26◦43.3 339◦55.4 -10◦14.9 220◦46.8 -15◦05.2 236◦15.8 -19◦17.211 201◦01.5 300◦54.7 -26◦43.6 354◦56.2 -10◦15.6 235◦49.2 -15◦05.2 251◦18.2 -19◦17.212 216◦04.0 315◦54.3 -26◦43.8 9◦57.1 -10◦16.2 250◦51.6 -15◦05.1 266◦20.6 -19◦17.213 231◦06.4 330◦54.0 -26◦44.1 24◦58.0 -10◦16.8 265◦53.9 -15◦05.1 281◦23.0 -19◦17.114 246◦08.9 345◦53.6 -26◦44.3 39◦58.9 -10◦17.4 280◦56.3 -15◦05.1 296◦25.4 -19◦17.115 261◦11.3 0◦53.3 -26◦44.6 54◦59.8 -10◦18.0 295◦58.7 -15◦05.0 311◦27.8 -19◦17.116 276◦13.8 15◦52.9 -26◦44.8 70◦00.7 -10◦18.6 311◦01.1 -15◦05.0 326◦30.2 -19◦17.117 291◦16.3 30◦52.6 -26◦45.1 85◦01.5 -10◦19.3 326◦03.5 -15◦05.0 341◦32.6 -19◦17.118 306◦18.7 45◦52.2 -26◦45.3 100◦02.4 -10◦19.9 341◦05.9 -15◦04.9 356◦35.0 -19◦17.119 321◦21.2 60◦51.9 -26◦45.6 115◦03.3 -10◦20.5 356◦08.3 -15◦04.9 11◦37.4 -19◦17.020 336◦23.7 75◦51.5 -26◦45.8 130◦04.2 -10◦21.1 11◦10.7 -15◦04.9 26◦39.8 -19◦17.021 351◦26.1 90◦51.2 -26◦46.1 145◦05.1 -10◦21.7 26◦13.1 -15◦04.8 41◦42.2 -19◦17.022 6◦28.6 105◦50.8 -26◦46.3 160◦05.9 -10◦22.3 41◦15.4 -15◦04.8 56◦44.6 -19◦17.023 21◦31.1 120◦50.5 -26◦46.6 175◦06.8 -10◦23.0 56◦17.8 -15◦04.8 71◦46.9 -19◦17.0Mer.pass.:21:34 v-0.4 d-0.3 m-4.2 v0.9 d-0.6 m1.7 v2.4 d0.0 m-2.4 v2.4 d0.0 m0.6

StarsSHA Dec

Alpheratz 357◦37.2 29◦12.8Ankaa 353◦09.4 -42◦11.4

Schedar 349◦33.5 56◦39.5Diphda 348◦49.6 -17◦52.1

Achernar 335◦21.7 -57◦07.7Hamal 327◦53.9 23◦34.0Polaris 314◦48.0 89◦21.2Akamar 315◦13.4 -40◦13.0Menkar 314◦08.6 4◦10.5Mirfak 308◦31.5 49◦56.2

Aldebaran 290◦42.4 16◦33.2Rigel 281◦06.2 -8◦10.5

Capella 280◦25.5 46◦01.1Bellatrix 278◦25.5 6◦22.2Elnath 278◦05.0 28◦37.5Alnilam 275◦40.2 -1◦11.2

Betelgeuse 270◦54.8 7◦24.7Canopus 263◦53.3 -52◦42.1

Sirius 258◦28.3 -16◦44.4Adara 255◦07.8 -28◦59.8

Procyon 244◦53.5 5◦10.4Pollux 243◦20.4 27◦58.4Avior 234◦15.8 -59◦34.4Suhail 222◦48.3 -43◦30.9

Miaplacidus 221◦38.9 -69◦48.0Alphard 217◦50.4 -8◦45.0Regulus 207◦37.4 11◦51.8Dubhe 193◦44.7 61◦37.9

Denebola 182◦27.8 14◦27.2Gienah 175◦46.6 -17◦39.5Acrux 173◦03.6 -63◦12.9

Gacrux 171◦55.1 -57◦13.8Alioth 166◦15.9 55◦50.5Spica 158◦25.4 -11◦16.3Alcaid 152◦54.6 49◦12.4Hadar 148◦40.4 -60◦28.5

Menkent 148◦01.1 -36◦28.4Arcturus 145◦50.5 19◦04.6

Rigil Kent. 139◦44.6 -60◦55.4Zubenelg. 136◦59.3 -16◦07.7Kochab 137◦21.0 74◦04.1

Alphecca 126◦06.4 26◦38.7Antares 112◦19.4 -26◦28.7

Atria 107◦16.4 -69◦04.0Sabik 102◦06.1 -15◦45.0

Shaula 96◦14.2 -37◦07.2Rasalhague 96◦01.3 12◦32.9

Etamin 90◦43.7 51◦29.4Kaus Aust. 83◦36.2 -34◦22.5

Vega 80◦35.2 38◦48.4Nunki 75◦51.2 -26◦16.2Altair 62◦02.7 8◦55.6

Peacock 53◦09.9 -56◦40.1Deneb 49◦27.5 45◦21.7

Enif 33◦41.3 9◦58.6Alnair 27◦36.1 -46◦51.5

Fomalhaut 15◦17.3 -29◦30.5Scheat 13◦47.6 28◦12.2Markab 13◦32.3 15◦19.4

2021/10/ SHA Mer.passVenus 102◦39.9 14:55Mars 155◦27.7 11:23

Jupiter 34◦51.4 19:23Saturn 50◦20.6 18:21

2021/10/ SHA Mer.passVenus 101◦31.9 14:56Mars 154◦50.0 11:22

Jupiter 34◦50.0 19:19Saturn 50◦19.1 18:17

2021/10/ SHA Mer.passVenus 100◦24.1 14:56Mars 154◦12.1 11:20

Jupiter 34◦48.5 19:15Saturn 50◦17.5 18:14

Horizontal paralaxVenus: 0.2Mars: 0.1

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2021 October 25 to Oct. 27

h Sun MoonMon GHA Dec GHA ν Dec d HP0 183◦58.6 -12◦05.7 314◦57.4 11.4 24◦38.1 4.9 54.11 198◦58.7 -12◦06.6 329◦27.8 11.4 24◦42.9 4.8 54.12 213◦58.8 -12◦07.4 343◦58.1 11.3 24◦47.6 4.6 54.13 228◦58.8 -12◦08.3 358◦28.5 11.3 24◦52.2 4.5 54.14 243◦58.9 -12◦09.2 12◦58.7 11.3 24◦56.6 4.4 54.15 258◦59.0 -12◦10.0 27◦29.0 11.2 25◦01.0 4.3 54.16 273◦59.1 -12◦10.9 41◦59.2 11.2 25◦05.2 4.2 54.17 288◦59.1 -12◦11.7 56◦29.3 11.1 25◦09.3 4.1 54.18 303◦59.2 -12◦12.6 70◦59.4 11.1 25◦13.3 3.9 54.19 318◦59.3 -12◦13.5 85◦29.5 11.1 25◦17.2 3.8 54.110 333◦59.3 -12◦14.3 99◦59.6 11.0 25◦21.0 3.7 54.111 348◦59.4 -12◦15.2 114◦29.6 11.0 25◦24.6 3.6 54.112 3◦59.5 -12◦16.0 128◦59.6 11.0 25◦28.2 3.5 54.113 18◦59.6 -12◦16.9 143◦29.5 10.9 25◦31.6 3.4 54.114 33◦59.6 -12◦17.7 157◦59.4 10.9 25◦34.9 3.2 54.115 48◦59.7 -12◦18.6 172◦29.3 10.9 25◦38.1 3.1 54.116 63◦59.8 -12◦19.5 186◦59.1 10.8 25◦41.1 3.0 54.117 78◦59.8 -12◦20.3 201◦29.0 10.8 25◦44.0 2.9 54.118 93◦59.9 -12◦21.2 215◦58.7 10.8 25◦46.9 2.8 54.119 108◦60.0 -12◦22.0 230◦28.5 10.7 25◦49.6 2.6 54.120 124◦00.0 -12◦22.9 244◦58.2 10.7 25◦52.1 2.5 54.221 139◦00.1 -12◦23.7 259◦27.9 10.7 25◦54.6 2.4 54.222 154◦00.2 -12◦24.6 273◦57.6 10.7 25◦56.9 2.3 54.223 169◦00.2 -12◦25.4 288◦27.2 10.6 25◦59.1 2.1 54.2

SD.=16.1 d=-0.9 S.D.=14.7

Tue GHA Dec GHA ν Dec d HP0 184◦00.3 -12◦26.3 302◦56.8 10.6 26◦01.2 2.0 54.21 199◦00.4 -12◦27.2 317◦26.4 10.6 26◦03.1 1.9 54.22 214◦00.4 -12◦28.0 331◦56.0 10.5 26◦05.0 1.8 54.23 229◦00.5 -12◦28.9 346◦25.5 10.5 26◦06.7 1.6 54.24 244◦00.6 -12◦29.7 0◦55.0 10.5 26◦08.3 1.5 54.25 259◦00.6 -12◦30.6 15◦24.5 10.5 26◦09.7 1.4 54.26 274◦00.7 -12◦31.4 29◦54.0 10.5 26◦11.1 1.3 54.27 289◦00.8 -12◦32.3 44◦23.4 10.4 26◦12.3 1.1 54.28 304◦00.8 -12◦33.1 58◦52.8 10.4 26◦13.3 1.0 54.39 319◦00.9 -12◦34.0 73◦22.2 10.4 26◦14.3 0.9 54.310 334◦00.9 -12◦34.8 87◦51.6 10.4 26◦15.1 0.8 54.311 349◦01.0 -12◦35.7 102◦21.0 10.4 26◦15.9 0.6 54.312 4◦01.1 -12◦36.5 116◦50.3 10.3 26◦16.4 0.5 54.313 19◦01.1 -12◦37.4 131◦19.7 10.3 26◦16.9 0.4 54.314 34◦01.2 -12◦38.2 145◦49.0 10.3 26◦17.2 0.3 54.315 49◦01.3 -12◦39.1 160◦18.3 10.3 26◦17.4 0.1 54.316 64◦01.3 -12◦39.9 174◦47.6 10.3 26◦17.5 0.0 54.317 79◦01.4 -12◦40.8 189◦16.9 10.3 26◦17.4 -0.1 54.418 94◦01.4 -12◦41.6 203◦46.1 10.3 26◦17.3 -0.2 54.419 109◦01.5 -12◦42.5 218◦15.4 10.2 26◦17.0 -0.4 54.420 124◦01.6 -12◦43.3 232◦44.6 10.2 26◦16.5 -0.5 54.421 139◦01.6 -12◦44.1 247◦13.9 10.2 26◦16.0 -0.6 54.422 154◦01.7 -12◦45.0 261◦43.1 10.2 26◦15.3 -0.8 54.423 169◦01.7 -12◦45.8 276◦12.3 10.2 26◦14.5 -0.9 54.4

SD.=16.1 d=-0.9 S.D.=14.8

Wed GHA Dec GHA ν Dec d HP0 184◦01.8 -12◦46.7 290◦41.5 10.2 26◦13.5 -1.0 54.51 199◦01.9 -12◦47.5 305◦10.7 10.2 26◦12.4 -1.1 54.52 214◦01.9 -12◦48.4 319◦39.9 10.2 26◦11.2 -1.3 54.53 229◦02.0 -12◦49.2 334◦09.1 10.2 26◦09.9 -1.4 54.54 244◦02.0 -12◦50.1 348◦38.3 10.2 26◦08.4 -1.5 54.55 259◦02.1 -12◦50.9 3◦07.5 10.2 26◦06.9 -1.6 54.56 274◦02.1 -12◦51.7 17◦36.7 10.2 26◦05.2 -1.8 54.57 289◦02.2 -12◦52.6 32◦05.9 10.2 26◦03.3 -1.9 54.68 304◦02.3 -12◦53.4 46◦35.0 10.2 26◦01.3 -2.0 54.69 319◦02.3 -12◦54.3 61◦04.2 10.2 25◦59.2 -2.2 54.610 334◦02.4 -12◦55.1 75◦33.4 10.2 25◦57.0 -2.3 54.611 349◦02.4 -12◦56.0 90◦02.6 10.2 25◦54.7 -2.4 54.612 4◦02.5 -12◦56.8 104◦31.8 10.2 25◦52.2 -2.5 54.713 19◦02.5 -12◦57.6 119◦01.0 10.2 25◦49.6 -2.7 54.714 34◦02.6 -12◦58.5 133◦30.2 10.2 25◦46.8 -2.8 54.715 49◦02.6 -12◦59.3 147◦59.4 10.2 25◦44.0 -2.9 54.716 64◦02.7 -13◦00.2 162◦28.6 10.2 25◦41.0 -3.1 54.717 79◦02.7 -13◦01.0 176◦57.8 10.2 25◦37.9 -3.2 54.718 94◦02.8 -13◦01.8 191◦27.0 10.2 25◦34.6 -3.3 54.819 109◦02.8 -13◦02.7 205◦56.2 10.2 25◦31.2 -3.4 54.820 124◦02.9 -13◦03.5 220◦25.5 10.2 25◦27.7 -3.6 54.821 139◦03.0 -13◦04.4 234◦54.7 10.3 25◦24.1 -3.7 54.822 154◦03.0 -13◦05.2 249◦24.0 10.3 25◦20.3 -3.8 54.823 169◦03.1 -13◦06.0 263◦53.2 10.3 25◦16.5 -3.9 54.9

SD.=16.1 d=-0.8 S.D.=14.9

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 05:43 07:03 08:22 15:04 16:23 17:4370 05:41 06:53 08:02 15:24 16:33 17:4568 05:40 06:45 07:47 15:40 16:41 17:4766 05:38 06:39 07:34 15:52 16:48 17:4864 05:37 06:33 07:24 16:03 16:54 17:4962 05:36 06:28 07:15 16:12 16:59 17:5160 05:34 06:23 07:07 16:20 17:03 17:5258 05:33 06:19 07:00 16:26 17:08 17:5356 05:32 06:16 06:55 16:32 17:11 17:5554 05:31 06:12 06:49 16:38 17:15 17:5652 05:30 06:09 06:44 16:43 17:18 17:5750 05:29 06:07 06:40 16:47 17:21 17:5845 05:26 06:00 06:30 16:57 17:27 18:0140 05:23 05:55 06:22 17:05 17:33 18:0435 05:20 05:50 06:16 17:12 17:38 18:0730 05:17 05:45 06:09 17:18 17:42 18:1120 05:10 05:36 05:59 17:29 17:51 18:1710 05:03 05:28 05:49 17:38 17:60 18:250 04:55 05:19 05:41 17:47 18:08 18:33-10 04:45 05:10 05:32 17:56 18:18 18:43-20 04:32 04:59 05:22 18:06 18:29 18:56-30 04:16 04:46 05:11 18:18 18:43 19:12-35 04:06 04:38 05:04 18:24 18:51 19:23-40 03:53 04:28 04:57 18:32 19:01 19:35-45 03:38 04:16 04:48 18:41 19:12 19:51-50 03:18 04:02 04:37 18:52 19:27 20:12-52 03:08 03:55 04:32 18:57 19:34 20:22-54 02:57 03:47 04:27 19:02 19:42 20:33-56 02:43 03:39 04:21 19:09 19:51 20:47-58 02:28 03:29 04:14 19:15 20:01 21:03-60 02:08 03:17 04:06 19:23 20:13 21:23

Moonrise MoonsetLat. Mon Tue Wed Mon Tue Wed72 –:– –:– –:– –:– –:– –:–70 –:– –:– –:– –:– –:– –:–68 –:– –:– –:– –:– –:– –:–66 –:– –:– –:– –:– –:– –:–64 16:15 –:– 18:04 14:43 –:– 16:2662 17:16 17:54 19:03 13:42 14:49 15:2660 17:50 18:32 19:36 13:08 14:11 14:5358 18:15 18:59 20:01 12:44 13:44 14:2856 18:35 19:20 20:21 12:24 13:23 14:0854 18:52 19:38 20:37 12:07 13:05 13:5152 19:06 19:53 20:51 11:53 12:50 13:3750 19:18 20:06 21:03 11:41 12:37 13:2545 19:44 20:32 21:29 11:15 12:11 12:5940 20:05 20:54 21:49 10:55 11:50 12:3935 20:22 21:11 22:06 10:38 11:32 12:2130 20:37 21:26 22:20 10:24 11:17 12:0720 21:02 21:52 22:45 09:59 10:51 11:4110 21:24 22:14 23:06 09:38 10:29 11:200 21:44 22:35 23:26 09:18 10:08 10:59-10 22:04 22:55 23:46 08:58 09:48 10:39-20 22:26 23:18 –:– 08:37 09:26 10:17-30 22:52 23:43 –:– 08:13 08:60 09:52-35 23:07 23:58 –:– 07:58 08:45 09:37-40 23:24 –:– 00:16 07:42 08:27 09:19-45 23:45 –:– 00:37 07:22 08:06 08:58-50 –:– 00:12 01:04 06:57 07:39 08:32-52 –:– 00:25 01:17 06:45 07:26 08:19-54 –:– 00:40 01:32 06:31 07:11 08:04-56 –:– 00:57 01:49 06:16 06:54 07:47-58 00:11 01:18 02:11 05:57 06:33 07:25-60 00:34 01:45 02:38 05:34 06:05 06:59

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower25 15:54 15:58 11:44 03:06 15:31 19(80%)26 16:01 16:04 11:43 03:56 16:21 20(72%)27 16:07 16:10 11:43 04:47 17:12 21(63%)

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October 28, 29 ,30 (Thu., Fri., Sat.)Aries Venus Mars Jupiter Saturn

Thu GHA GHA Dec GHA Dec GHA Dec GHA Dec0 36◦33.5 135◦50.1 -26◦46.8 190◦07.7 -10◦23.6 71◦20.2 -15◦04.8 86◦49.3 -19◦16.91 51◦36.0 150◦49.8 -26◦47.0 205◦08.6 -10◦24.2 86◦22.6 -15◦04.7 101◦51.7 -19◦16.92 66◦38.5 165◦49.5 -26◦47.3 220◦09.5 -10◦24.8 101◦25.0 -15◦04.7 116◦54.1 -19◦16.93 81◦40.9 180◦49.1 -26◦47.5 235◦10.4 -10◦25.4 116◦27.4 -15◦04.7 131◦56.5 -19◦16.94 96◦43.4 195◦48.8 -26◦47.8 250◦11.2 -10◦26.0 131◦29.8 -15◦04.6 146◦58.9 -19◦16.95 111◦45.8 210◦48.4 -26◦48.0 265◦12.1 -10◦26.6 146◦32.1 -15◦04.6 162◦01.3 -19◦16.96 126◦48.3 225◦48.1 -26◦48.2 280◦13.0 -10◦27.3 161◦34.5 -15◦04.6 177◦03.7 -19◦16.87 141◦50.8 240◦47.8 -26◦48.5 295◦13.9 -10◦27.9 176◦36.9 -15◦04.5 192◦06.1 -19◦16.88 156◦53.2 255◦47.4 -26◦48.7 310◦14.8 -10◦28.5 191◦39.3 -15◦04.5 207◦08.5 -19◦16.89 171◦55.7 270◦47.1 -26◦48.9 325◦15.6 -10◦29.1 206◦41.7 -15◦04.5 222◦10.9 -19◦16.810 186◦58.2 285◦46.7 -26◦49.2 340◦16.5 -10◦29.7 221◦44.1 -15◦04.4 237◦13.2 -19◦16.811 202◦00.6 300◦46.4 -26◦49.4 355◦17.4 -10◦30.3 236◦46.4 -15◦04.4 252◦15.6 -19◦16.712 217◦03.1 315◦46.1 -26◦49.6 10◦18.3 -10◦31.0 251◦48.8 -15◦04.4 267◦18.0 -19◦16.713 232◦05.6 330◦45.7 -26◦49.9 25◦19.2 -10◦31.6 266◦51.2 -15◦04.3 282◦20.4 -19◦16.714 247◦08.0 345◦45.4 -26◦50.1 40◦20.0 -10◦32.2 281◦53.6 -15◦04.3 297◦22.8 -19◦16.715 262◦10.5 0◦45.0 -26◦50.3 55◦20.9 -10◦32.8 296◦56.0 -15◦04.3 312◦25.2 -19◦16.716 277◦13.0 15◦44.7 -26◦50.5 70◦21.8 -10◦33.4 311◦58.4 -15◦04.2 327◦27.6 -19◦16.617 292◦15.4 30◦44.4 -26◦50.8 85◦22.7 -10◦34.0 327◦00.7 -15◦04.2 342◦30.0 -19◦16.618 307◦17.9 45◦44.0 -26◦51.0 100◦23.6 -10◦34.6 342◦03.1 -15◦04.2 357◦32.4 -19◦16.619 322◦20.3 60◦43.7 -26◦51.2 115◦24.4 -10◦35.2 357◦05.5 -15◦04.1 12◦34.7 -19◦16.620 337◦22.8 75◦43.4 -26◦51.4 130◦25.3 -10◦35.9 12◦07.9 -15◦04.1 27◦37.1 -19◦16.621 352◦25.3 90◦43.0 -26◦51.6 145◦26.2 -10◦36.5 27◦10.3 -15◦04.1 42◦39.5 -19◦16.622 7◦27.7 105◦42.7 -26◦51.9 160◦27.1 -10◦37.1 42◦12.6 -15◦04.0 57◦41.9 -19◦16.523 22◦30.2 120◦42.4 -26◦52.1 175◦27.9 -10◦37.7 57◦15.0 -15◦04.0 72◦44.3 -19◦16.5Mer.pass.:21:30 v-0.3 d-0.2 m-4.3 v0.9 d-0.6 m1.7 v2.4 d0.0 m-2.4 v2.4 d0.0 m0.6

Fri GHA GHA Dec GHA Dec GHA Dec GHA Dec0 37◦32.7 135◦42.0 -26◦52.3 190◦28.8 -10◦38.3 72◦17.4 -15◦03.9 87◦46.7 -19◦16.51 52◦35.1 150◦41.7 -26◦52.5 205◦29.7 -10◦38.9 87◦19.8 -15◦03.9 102◦49.1 -19◦16.52 67◦37.6 165◦41.4 -26◦52.7 220◦30.6 -10◦39.5 102◦22.1 -15◦03.9 117◦51.5 -19◦16.53 82◦40.1 180◦41.0 -26◦52.9 235◦31.5 -10◦40.2 117◦24.5 -15◦03.8 132◦53.9 -19◦16.44 97◦42.5 195◦40.7 -26◦53.1 250◦32.3 -10◦40.8 132◦26.9 -15◦03.8 147◦56.2 -19◦16.45 112◦45.0 210◦40.4 -26◦53.4 265◦33.2 -10◦41.4 147◦29.3 -15◦03.8 162◦58.6 -19◦16.46 127◦47.5 225◦40.1 -26◦53.6 280◦34.1 -10◦42.0 162◦31.7 -15◦03.7 178◦01.0 -19◦16.47 142◦49.9 240◦39.7 -26◦53.8 295◦35.0 -10◦42.6 177◦34.0 -15◦03.7 193◦03.4 -19◦16.48 157◦52.4 255◦39.4 -26◦54.0 310◦35.8 -10◦43.2 192◦36.4 -15◦03.7 208◦05.8 -19◦16.39 172◦54.8 270◦39.1 -26◦54.2 325◦36.7 -10◦43.8 207◦38.8 -15◦03.6 223◦08.2 -19◦16.310 187◦57.3 285◦38.8 -26◦54.4 340◦37.6 -10◦44.4 222◦41.2 -15◦03.6 238◦10.6 -19◦16.311 202◦59.8 300◦38.4 -26◦54.6 355◦38.5 -10◦45.0 237◦43.5 -15◦03.6 253◦12.9 -19◦16.312 218◦02.2 315◦38.1 -26◦54.8 10◦39.3 -10◦45.7 252◦45.9 -15◦03.5 268◦15.3 -19◦16.313 233◦04.7 330◦37.8 -26◦55.0 25◦40.2 -10◦46.3 267◦48.3 -15◦03.5 283◦17.7 -19◦16.214 248◦07.2 345◦37.4 -26◦55.2 40◦41.1 -10◦46.9 282◦50.7 -15◦03.4 298◦20.1 -19◦16.215 263◦09.6 0◦37.1 -26◦55.4 55◦42.0 -10◦47.5 297◦53.0 -15◦03.4 313◦22.5 -19◦16.216 278◦12.1 15◦36.8 -26◦55.6 70◦42.8 -10◦48.1 312◦55.4 -15◦03.4 328◦24.9 -19◦16.217 293◦14.6 30◦36.5 -26◦55.8 85◦43.7 -10◦48.7 327◦57.8 -15◦03.3 343◦27.3 -19◦16.218 308◦17.0 45◦36.2 -26◦56.0 100◦44.6 -10◦49.3 343◦00.1 -15◦03.3 358◦29.6 -19◦16.119 323◦19.5 60◦35.8 -26◦56.2 115◦45.5 -10◦49.9 358◦02.5 -15◦03.3 13◦32.0 -19◦16.120 338◦21.9 75◦35.5 -26◦56.4 130◦46.3 -10◦50.5 13◦04.9 -15◦03.2 28◦34.4 -19◦16.121 353◦24.4 90◦35.2 -26◦56.6 145◦47.2 -10◦51.2 28◦07.3 -15◦03.2 43◦36.8 -19◦16.122 8◦26.9 105◦34.9 -26◦56.8 160◦48.1 -10◦51.8 43◦09.6 -15◦03.2 58◦39.2 -19◦16.123 23◦29.3 120◦34.6 -26◦57.0 175◦49.0 -10◦52.4 58◦12.0 -15◦03.1 73◦41.6 -19◦16.0Mer.pass.:21:26 v-0.3 d-0.2 m-4.3 v0.9 d-0.6 m1.7 v2.4 d0.0 m-2.4 v2.4 d0.0 m0.6

Sat GHA GHA Dec GHA Dec GHA Dec GHA Dec0 38◦31.8 135◦34.2 -26◦57.2 190◦49.8 -10◦53.0 73◦14.4 -15◦03.1 88◦43.9 -19◦16.01 53◦34.3 150◦33.9 -26◦57.4 205◦50.7 -10◦53.6 88◦16.7 -15◦03.0 103◦46.3 -19◦16.02 68◦36.7 165◦33.6 -26◦57.5 220◦51.6 -10◦54.2 103◦19.1 -15◦03.0 118◦48.7 -19◦16.03 83◦39.2 180◦33.3 -26◦57.7 235◦52.5 -10◦54.8 118◦21.5 -15◦03.0 133◦51.1 -19◦16.04 98◦41.7 195◦33.0 -26◦57.9 250◦53.3 -10◦55.4 133◦23.9 -15◦02.9 148◦53.5 -19◦15.95 113◦44.1 210◦32.7 -26◦58.1 265◦54.2 -10◦56.0 148◦26.2 -15◦02.9 163◦55.9 -19◦15.96 128◦46.6 225◦32.3 -26◦58.3 280◦55.1 -10◦56.6 163◦28.6 -15◦02.9 178◦58.2 -19◦15.97 143◦49.1 240◦32.0 -26◦58.5 295◦56.0 -10◦57.3 178◦31.0 -15◦02.8 194◦00.6 -19◦15.98 158◦51.5 255◦31.7 -26◦58.7 310◦56.8 -10◦57.9 193◦33.3 -15◦02.8 209◦03.0 -19◦15.99 173◦54.0 270◦31.4 -26◦58.8 325◦57.7 -10◦58.5 208◦35.7 -15◦02.7 224◦05.4 -19◦15.810 188◦56.4 285◦31.1 -26◦59.0 340◦58.6 -10◦59.1 223◦38.1 -15◦02.7 239◦07.8 -19◦15.811 203◦58.9 300◦30.8 -26◦59.2 355◦59.4 -10◦59.7 238◦40.4 -15◦02.7 254◦10.2 -19◦15.812 219◦01.4 315◦30.5 -26◦59.4 11◦00.3 -11◦00.3 253◦42.8 -15◦02.6 269◦12.5 -19◦15.813 234◦03.8 330◦30.1 -26◦59.6 26◦01.2 -11◦00.9 268◦45.2 -15◦02.6 284◦14.9 -19◦15.814 249◦06.3 345◦29.8 -26◦59.7 41◦02.1 -11◦01.5 283◦47.5 -15◦02.5 299◦17.3 -19◦15.715 264◦08.8 0◦29.5 -26◦59.9 56◦02.9 -11◦02.1 298◦49.9 -15◦02.5 314◦19.7 -19◦15.716 279◦11.2 15◦29.2 -27◦00.1 71◦03.8 -11◦02.7 313◦52.3 -15◦02.5 329◦22.1 -19◦15.717 294◦13.7 30◦28.9 -27◦00.2 86◦04.7 -11◦03.3 328◦54.6 -15◦02.4 344◦24.4 -19◦15.718 309◦16.2 45◦28.6 -27◦00.4 101◦05.5 -11◦04.0 343◦57.0 -15◦02.4 359◦26.8 -19◦15.619 324◦18.6 60◦28.3 -27◦00.6 116◦06.4 -11◦04.6 358◦59.3 -15◦02.3 14◦29.2 -19◦15.620 339◦21.1 75◦28.0 -27◦00.8 131◦07.3 -11◦05.2 14◦01.7 -15◦02.3 29◦31.6 -19◦15.621 354◦23.6 90◦27.7 -27◦00.9 146◦08.2 -11◦05.8 29◦04.1 -15◦02.3 44◦34.0 -19◦15.622 9◦26.0 105◦27.4 -27◦01.1 161◦09.0 -11◦06.4 44◦06.4 -15◦02.2 59◦36.3 -19◦15.623 24◦28.5 120◦27.1 -27◦01.3 176◦09.9 -11◦07.0 59◦08.8 -15◦02.2 74◦38.7 -19◦15.5Mer.pass.:21:22 v-0.3 d-0.2 m-4.3 v0.9 d-0.6 m1.7 v2.4 d0.0 m-2.4 v2.4 d0.0 m0.6

StarsSHA Dec

Alpheratz 357◦37.2 29◦12.8Ankaa 353◦09.4 -42◦11.4

Schedar 349◦33.5 56◦39.5Diphda 348◦49.6 -17◦52.1

Achernar 335◦21.7 -57◦07.7Hamal 327◦53.8 23◦34.0Polaris 314◦47.4 89◦21.3Akamar 315◦13.4 -40◦13.0Menkar 314◦08.6 4◦10.5Mirfak 308◦31.5 49◦56.2

Aldebaran 290◦42.4 16◦33.2Rigel 281◦06.2 -8◦10.5

Capella 280◦25.5 46◦01.1Bellatrix 278◦25.5 6◦22.2Elnath 278◦04.9 28◦37.5Alnilam 275◦40.2 -1◦11.2

Betelgeuse 270◦54.7 7◦24.7Canopus 263◦53.3 -52◦42.1

Sirius 258◦28.3 -16◦44.4Adara 255◦07.8 -28◦59.9

Procyon 244◦53.4 5◦10.4Pollux 243◦20.4 27◦58.4Avior 234◦15.7 -59◦34.4Suhail 222◦48.3 -43◦30.9

Miaplacidus 221◦38.9 -69◦48.0Alphard 217◦50.4 -8◦45.0Regulus 207◦37.3 11◦51.8Dubhe 193◦44.7 61◦37.9

Denebola 182◦27.8 14◦27.2Gienah 175◦46.5 -17◦39.5Acrux 173◦03.6 -63◦12.9

Gacrux 171◦55.0 -57◦13.8Alioth 166◦15.9 55◦50.5Spica 158◦25.4 -11◦16.3Alcaid 152◦54.6 49◦12.4Hadar 148◦40.4 -60◦28.5

Menkent 148◦01.1 -36◦28.4Arcturus 145◦50.5 19◦04.6

Rigil Kent. 139◦44.6 -60◦55.4Zubenelg. 136◦59.3 -16◦07.7Kochab 137◦21.0 74◦04.1

Alphecca 126◦06.4 26◦38.7Antares 112◦19.4 -26◦28.7

Atria 107◦16.4 -69◦04.0Sabik 102◦06.1 -15◦45.0

Shaula 96◦14.3 -37◦07.2Rasalhague 96◦01.3 12◦32.9

Etamin 90◦43.7 51◦29.4Kaus Aust. 83◦36.2 -34◦22.5

Vega 80◦35.2 38◦48.4Nunki 75◦51.2 -26◦16.2Altair 62◦02.7 8◦55.6

Peacock 53◦09.9 -56◦40.1Deneb 49◦27.6 45◦21.7

Enif 33◦41.3 9◦58.6Alnair 27◦36.1 -46◦51.5

Fomalhaut 15◦17.3 -29◦30.5Scheat 13◦47.6 28◦12.2Markab 13◦32.3 15◦19.4

2021/10/ SHA Mer.passVenus 99◦16.6 14:57Mars 153◦34.2 11:19

Jupiter 34◦46.7 19:12Saturn 50◦15.8 18:10

2021/10/ SHA Mer.passVenus 98◦09.4 14:58Mars 152◦56.2 11:17

Jupiter 34◦44.7 19:08Saturn 50◦14.0 18:06

2021/10/ SHA Mer.passVenus 97◦02.4 14:58Mars 152◦18.0 11:16

Jupiter 34◦42.6 19:04Saturn 50◦12.1 18:02

Horizontal paralaxVenus: 0.2Mars: 0.1

202

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2021 October 28 to Oct. 30

h Sun MoonThu GHA Dec GHA ν Dec d HP0 184◦03.1 -13◦06.9 278◦22.5 10.3 25◦12.4 -4.1 54.91 199◦03.2 -13◦07.7 292◦51.8 10.3 25◦08.3 -4.2 54.92 214◦03.2 -13◦08.5 307◦21.1 10.3 25◦04.0 -4.3 54.93 229◦03.3 -13◦09.4 321◦50.4 10.3 24◦59.7 -4.5 55.04 244◦03.3 -13◦10.2 336◦19.8 10.3 24◦55.1 -4.6 55.05 259◦03.4 -13◦11.0 350◦49.1 10.4 24◦50.5 -4.7 55.06 274◦03.4 -13◦11.9 5◦18.5 10.4 24◦45.7 -4.8 55.07 289◦03.5 -13◦12.7 19◦47.8 10.4 24◦40.8 -5.0 55.08 304◦03.5 -13◦13.6 34◦17.2 10.4 24◦35.8 -5.1 55.19 319◦03.5 -13◦14.4 48◦46.6 10.4 24◦30.7 -5.2 55.110 334◦03.6 -13◦15.2 63◦16.1 10.4 24◦25.4 -5.3 55.111 349◦03.6 -13◦16.1 77◦45.5 10.5 24◦20.0 -5.5 55.112 4◦03.7 -13◦16.9 92◦15.0 10.5 24◦14.5 -5.6 55.213 19◦03.7 -13◦17.7 106◦44.5 10.5 24◦08.9 -5.7 55.214 34◦03.8 -13◦18.6 121◦14.0 10.5 24◦03.1 -5.8 55.215 49◦03.8 -13◦19.4 135◦43.5 10.5 23◦57.2 -5.9 55.216 64◦03.9 -13◦20.2 150◦13.0 10.6 23◦51.2 -6.1 55.317 79◦03.9 -13◦21.0 164◦42.6 10.6 23◦45.1 -6.2 55.318 94◦04.0 -13◦21.9 179◦12.2 10.6 23◦38.9 -6.3 55.319 109◦04.0 -13◦22.7 193◦41.8 10.6 23◦32.5 -6.4 55.320 124◦04.0 -13◦23.5 208◦11.4 10.6 23◦26.0 -6.6 55.421 139◦04.1 -13◦24.4 222◦41.0 10.7 23◦19.4 -6.7 55.422 154◦04.1 -13◦25.2 237◦10.7 10.7 23◦12.7 -6.8 55.423 169◦04.2 -13◦26.0 251◦40.4 10.7 23◦05.8 -6.9 55.5

SD.=16.1 d=-0.8 S.D.=15.0

Fri GHA Dec GHA ν Dec d HP0 184◦04.2 -13◦26.9 266◦10.1 10.7 22◦58.8 -7.0 55.51 199◦04.3 -13◦27.7 280◦39.9 10.8 22◦51.7 -7.2 55.52 214◦04.3 -13◦28.5 295◦09.6 10.8 22◦44.5 -7.3 55.53 229◦04.3 -13◦29.3 309◦39.4 10.8 22◦37.2 -7.4 55.64 244◦04.4 -13◦30.2 324◦09.2 10.8 22◦29.8 -7.5 55.65 259◦04.4 -13◦31.0 338◦39.0 10.8 22◦22.2 -7.6 55.66 274◦04.5 -13◦31.8 353◦08.9 10.9 22◦14.5 -7.7 55.77 289◦04.5 -13◦32.6 7◦38.8 10.9 22◦06.7 -7.9 55.78 304◦04.5 -13◦33.5 22◦08.7 10.9 21◦58.8 -8.0 55.79 319◦04.6 -13◦34.3 36◦38.6 10.9 21◦50.8 -8.1 55.710 334◦04.6 -13◦35.1 51◦08.6 11.0 21◦42.6 -8.2 55.811 349◦04.7 -13◦35.9 65◦38.6 11.0 21◦34.4 -8.3 55.812 4◦04.7 -13◦36.8 80◦08.6 11.0 21◦26.0 -8.4 55.813 19◦04.7 -13◦37.6 94◦38.6 11.1 21◦17.5 -8.5 55.914 34◦04.8 -13◦38.4 109◦08.7 11.1 21◦08.9 -8.7 55.915 49◦04.8 -13◦39.2 123◦38.8 11.1 21◦00.2 -8.8 55.916 64◦04.9 -13◦40.1 138◦08.9 11.1 20◦51.4 -8.9 56.017 79◦04.9 -13◦40.9 152◦39.0 11.2 20◦42.4 -9.0 56.018 94◦04.9 -13◦41.7 167◦09.2 11.2 20◦33.4 -9.1 56.019 109◦05.0 -13◦42.5 181◦39.4 11.2 20◦24.2 -9.2 56.120 124◦05.0 -13◦43.3 196◦09.6 11.2 20◦14.9 -9.3 56.121 139◦05.0 -13◦44.2 210◦39.9 11.3 20◦05.6 -9.4 56.122 154◦05.1 -13◦45.0 225◦10.1 11.3 19◦56.1 -9.5 56.223 169◦05.1 -13◦45.8 239◦40.4 11.3 19◦46.5 -9.6 56.2

SD.=16.1 d=-0.8 S.D.=15.1

Sat GHA Dec GHA ν Dec d HP0 184◦05.1 -13◦46.6 254◦10.7 11.3 19◦36.8 -9.8 56.21 199◦05.2 -13◦47.4 268◦41.1 11.4 19◦27.0 -9.9 56.32 214◦05.2 -13◦48.3 283◦11.5 11.4 19◦17.1 -10.0 56.33 229◦05.2 -13◦49.1 297◦41.9 11.4 19◦07.0 -10.1 56.34 244◦05.3 -13◦49.9 312◦12.3 11.4 18◦56.9 -10.2 56.45 259◦05.3 -13◦50.7 326◦42.7 11.5 18◦46.7 -10.3 56.46 274◦05.3 -13◦51.5 341◦13.2 11.5 18◦36.3 -10.4 56.47 289◦05.4 -13◦52.4 355◦43.7 11.5 18◦25.9 -10.5 56.58 304◦05.4 -13◦53.2 10◦14.2 11.5 18◦15.3 -10.6 56.59 319◦05.4 -13◦54.0 24◦44.7 11.5 18◦04.7 -10.7 56.510 334◦05.5 -13◦54.8 39◦15.3 11.6 17◦54.0 -10.8 56.611 349◦05.5 -13◦55.6 53◦45.9 11.6 17◦43.1 -10.9 56.612 4◦05.5 -13◦56.4 68◦16.5 11.6 17◦32.2 -11.0 56.713 19◦05.6 -13◦57.2 82◦47.1 11.6 17◦21.1 -11.1 56.714 34◦05.6 -13◦58.1 97◦17.8 11.7 17◦10.0 -11.2 56.715 49◦05.6 -13◦58.9 111◦48.4 11.7 16◦58.7 -11.3 56.816 64◦05.6 -13◦59.7 126◦19.1 11.7 16◦47.4 -11.4 56.817 79◦05.7 -14◦00.5 140◦49.8 11.7 16◦35.9 -11.5 56.818 94◦05.7 -14◦01.3 155◦20.6 11.7 16◦24.4 -11.6 56.919 109◦05.7 -14◦02.1 169◦51.3 11.8 16◦12.8 -11.7 56.920 124◦05.8 -14◦02.9 184◦22.1 11.8 16◦01.1 -11.8 56.921 139◦05.8 -14◦03.8 198◦52.9 11.8 15◦49.2 -11.9 57.022 154◦05.8 -14◦04.6 213◦23.7 11.8 15◦37.3 -12.0 57.023 169◦05.8 -14◦05.4 227◦54.5 11.8 15◦25.3 -12.0 57.1

SD.=16.1 d=-0.8 S.D.=15.3

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 05:55 07:16 08:40 14:46 16:09 17:3170 05:52 07:05 08:17 15:09 16:21 17:3468 05:49 06:56 07:59 15:27 16:30 17:3666 05:47 06:48 07:45 15:41 16:38 17:3964 05:45 06:41 07:33 15:53 16:45 17:4162 05:43 06:35 07:23 16:03 16:51 17:4360 05:41 06:30 07:15 16:12 16:56 17:4558 05:39 06:26 07:07 16:19 17:01 17:4756 05:38 06:22 07:01 16:26 17:05 17:4954 05:36 06:18 06:55 16:32 17:09 17:5052 05:35 06:14 06:50 16:37 17:12 17:5250 05:33 06:11 06:45 16:42 17:15 17:5345 05:30 06:04 06:34 16:52 17:23 17:5740 05:26 05:58 06:26 17:01 17:29 18:0135 05:22 05:52 06:18 17:09 17:35 18:0430 05:19 05:47 06:12 17:15 17:40 18:0820 05:12 05:38 06:00 17:27 17:50 18:1610 05:03 05:28 05:50 17:37 17:59 18:240 04:54 05:19 05:40 17:47 18:08 18:33-10 04:44 05:09 05:30 17:57 18:19 18:44-20 04:30 04:57 05:20 18:08 18:31 18:57-30 04:13 04:43 05:08 18:20 18:45 19:15-35 04:02 04:34 05:01 18:27 18:54 19:26-40 03:49 04:24 04:53 18:35 19:04 19:39-45 03:32 04:11 04:43 18:45 19:17 19:56-50 03:11 03:56 04:32 18:57 19:33 20:18-52 03:00 03:48 04:26 19:02 19:40 20:29-54 02:48 03:40 04:20 19:08 19:49 20:42-56 02:34 03:31 04:14 19:15 19:58 20:56-58 02:16 03:20 04:06 19:23 20:09 21:14-60 01:54 03:07 03:58 19:31 20:22 21:37

Moonrise MoonsetLat. Thu Fri Sat Thu Fri Sat72 –:– –:– 21:51 –:– –:– 17:5570 –:– –:– 22:31 –:– –:– 17:1468 –:– 20:39 22:58 –:– 17:22 16:4566 18:58 21:20 23:18 17:18 16:40 16:2364 19:59 21:48 23:34 16:17 16:11 16:0662 20:32 22:09 23:48 15:42 15:49 15:5260 20:57 22:26 23:59 15:17 15:31 15:3958 21:17 22:41 –:– 14:57 15:16 15:2956 21:33 22:53 –:– 14:40 15:03 15:2054 21:47 23:04 –:– 14:26 14:52 15:1152 21:59 23:13 –:– 14:14 14:42 15:0450 22:10 23:22 –:– 14:03 14:33 14:5745 22:32 23:40 –:– 13:40 14:14 14:4340 22:50 23:54 –:– 13:21 13:59 14:3135 23:05 –:– 00:06 13:06 13:45 14:2130 23:18 –:– 00:17 12:52 13:34 14:1220 23:40 –:– 00:35 12:29 13:14 13:5610 23:59 –:– 00:51 12:09 12:57 13:420 –:– 00:16 01:06 11:50 12:40 13:29-10 –:– 00:34 01:21 11:31 12:24 13:16-20 00:07 00:53 01:36 11:11 12:06 13:02-30 00:31 01:15 01:54 10:47 11:46 12:46-35 00:45 01:27 02:05 10:34 11:34 12:37-40 01:02 01:42 02:17 10:17 11:20 12:26-45 01:22 01:59 02:30 09:58 11:04 12:13-50 01:47 02:20 02:47 09:34 10:43 11:57-52 01:59 02:31 02:55 09:22 10:34 11:50-54 02:12 02:42 03:04 09:09 10:23 11:42-56 02:28 02:55 03:14 08:53 10:10 11:33-58 02:47 03:10 03:25 08:35 09:56 11:22-60 03:10 03:28 03:38 08:12 09:38 11:10

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower28 16:12 16:15 11:43 05:38 18:03 22(53%)29 16:17 16:19 11:43 06:28 18:53 23(44%)30 16:21 16:22 11:43 07:17 19:41 24(34%)

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October 31, 01 ,02 (Sun., Mon., Tue.)Aries Venus Mars Jupiter Saturn

Sun GHA GHA Dec GHA Dec GHA Dec GHA Dec0 39◦30.9 135◦26.8 -27◦01.4 191◦10.8 -11◦07.6 74◦11.2 -15◦02.1 89◦41.1 -19◦15.51 54◦33.4 150◦26.5 -27◦01.6 206◦11.6 -11◦08.2 89◦13.5 -15◦02.1 104◦43.5 -19◦15.52 69◦35.9 165◦26.2 -27◦01.8 221◦12.5 -11◦08.8 104◦15.9 -15◦02.1 119◦45.9 -19◦15.53 84◦38.3 180◦25.9 -27◦01.9 236◦13.4 -11◦09.4 119◦18.2 -15◦02.0 134◦48.2 -19◦15.54 99◦40.8 195◦25.5 -27◦02.1 251◦14.2 -11◦10.0 134◦20.6 -15◦02.0 149◦50.6 -19◦15.45 114◦43.3 210◦25.2 -27◦02.2 266◦15.1 -11◦10.6 149◦23.0 -15◦01.9 164◦53.0 -19◦15.46 129◦45.7 225◦24.9 -27◦02.4 281◦16.0 -11◦11.2 164◦25.3 -15◦01.9 179◦55.4 -19◦15.47 144◦48.2 240◦24.6 -27◦02.6 296◦16.8 -11◦11.8 179◦27.7 -15◦01.9 194◦57.7 -19◦15.48 159◦50.7 255◦24.3 -27◦02.7 311◦17.7 -11◦12.5 194◦30.1 -15◦01.8 210◦00.1 -19◦15.39 174◦53.1 270◦24.0 -27◦02.9 326◦18.6 -11◦13.1 209◦32.4 -15◦01.8 225◦02.5 -19◦15.310 189◦55.6 285◦23.7 -27◦03.0 341◦19.4 -11◦13.7 224◦34.8 -15◦01.7 240◦04.9 -19◦15.311 204◦58.0 300◦23.5 -27◦03.2 356◦20.3 -11◦14.3 239◦37.1 -15◦01.7 255◦07.3 -19◦15.312 220◦00.5 315◦23.2 -27◦03.3 11◦21.2 -11◦14.9 254◦39.5 -15◦01.7 270◦09.6 -19◦15.313 235◦03.0 330◦22.9 -27◦03.5 26◦22.0 -11◦15.5 269◦41.8 -15◦01.6 285◦12.0 -19◦15.214 250◦05.4 345◦22.6 -27◦03.6 41◦22.9 -11◦16.1 284◦44.2 -15◦01.6 300◦14.4 -19◦15.215 265◦07.9 0◦22.3 -27◦03.8 56◦23.8 -11◦16.7 299◦46.6 -15◦01.5 315◦16.8 -19◦15.216 280◦10.4 15◦22.0 -27◦03.9 71◦24.6 -11◦17.3 314◦48.9 -15◦01.5 330◦19.1 -19◦15.217 295◦12.8 30◦21.7 -27◦04.1 86◦25.5 -11◦17.9 329◦51.3 -15◦01.4 345◦21.5 -19◦15.218 310◦15.3 45◦21.4 -27◦04.2 101◦26.4 -11◦18.5 344◦53.6 -15◦01.4 0◦23.9 -19◦15.119 325◦17.8 60◦21.1 -27◦04.4 116◦27.2 -11◦19.1 359◦56.0 -15◦01.4 15◦26.3 -19◦15.120 340◦20.2 75◦20.8 -27◦04.5 131◦28.1 -11◦19.7 14◦58.3 -15◦01.3 30◦28.7 -19◦15.121 355◦22.7 90◦20.5 -27◦04.7 146◦29.0 -11◦20.3 30◦00.7 -15◦01.3 45◦31.0 -19◦15.122 10◦25.2 105◦20.2 -27◦04.8 161◦29.8 -11◦20.9 45◦03.1 -15◦01.2 60◦33.4 -19◦15.023 25◦27.6 120◦19.9 -27◦04.9 176◦30.7 -11◦21.5 60◦05.4 -15◦01.2 75◦35.8 -19◦15.0Mer.pass.:21:18 v-0.3 d-0.2 m-4.3 v0.9 d-0.6 m1.7 v2.4 d0.0 m-2.4 v2.4 d0.0 m0.6

Mon GHA GHA Dec GHA Dec GHA Dec GHA Dec0 40◦30.1 135◦19.6 -27◦05.1 191◦31.6 -11◦22.1 75◦07.8 -15◦01.1 90◦38.2 -19◦15.01 55◦32.5 150◦19.4 -27◦05.2 206◦32.4 -11◦22.7 90◦10.1 -15◦01.1 105◦40.5 -19◦15.02 70◦35.0 165◦19.1 -27◦05.4 221◦33.3 -11◦23.3 105◦12.5 -15◦01.1 120◦42.9 -19◦14.93 85◦37.5 180◦18.8 -27◦05.5 236◦34.2 -11◦24.0 120◦14.8 -15◦01.0 135◦45.3 -19◦14.94 100◦39.9 195◦18.5 -27◦05.6 251◦35.0 -11◦24.6 135◦17.2 -15◦01.0 150◦47.7 -19◦14.95 115◦42.4 210◦18.2 -27◦05.8 266◦35.9 -11◦25.2 150◦19.5 -15◦00.9 165◦50.0 -19◦14.96 130◦44.9 225◦17.9 -27◦05.9 281◦36.8 -11◦25.8 165◦21.9 -15◦00.9 180◦52.4 -19◦14.97 145◦47.3 240◦17.6 -27◦06.0 296◦37.6 -11◦26.4 180◦24.2 -15◦00.8 195◦54.8 -19◦14.88 160◦49.8 255◦17.4 -27◦06.2 311◦38.5 -11◦27.0 195◦26.6 -15◦00.8 210◦57.1 -19◦14.89 175◦52.3 270◦17.1 -27◦06.3 326◦39.4 -11◦27.6 210◦28.9 -15◦00.8 225◦59.5 -19◦14.810 190◦54.7 285◦16.8 -27◦06.4 341◦40.2 -11◦28.2 225◦31.3 -15◦00.7 241◦01.9 -19◦14.811 205◦57.2 300◦16.5 -27◦06.6 356◦41.1 -11◦28.8 240◦33.6 -15◦00.7 256◦04.3 -19◦14.712 220◦59.6 315◦16.2 -27◦06.7 11◦41.9 -11◦29.4 255◦36.0 -15◦00.6 271◦06.6 -19◦14.713 236◦02.1 330◦15.9 -27◦06.8 26◦42.8 -11◦30.0 270◦38.3 -15◦00.6 286◦09.0 -19◦14.714 251◦04.6 345◦15.7 -27◦06.9 41◦43.7 -11◦30.6 285◦40.7 -15◦00.5 301◦11.4 -19◦14.715 266◦07.0 0◦15.4 -27◦07.1 56◦44.5 -11◦31.2 300◦43.0 -15◦00.5 316◦13.8 -19◦14.716 281◦09.5 15◦15.1 -27◦07.2 71◦45.4 -11◦31.8 315◦45.4 -15◦00.4 331◦16.1 -19◦14.617 296◦12.0 30◦14.8 -27◦07.3 86◦46.3 -11◦32.4 330◦47.7 -15◦00.4 346◦18.5 -19◦14.618 311◦14.4 45◦14.6 -27◦07.4 101◦47.1 -11◦33.0 345◦50.1 -15◦00.4 1◦20.9 -19◦14.619 326◦16.9 60◦14.3 -27◦07.6 116◦48.0 -11◦33.6 0◦52.4 -15◦00.3 16◦23.3 -19◦14.620 341◦19.4 75◦14.0 -27◦07.7 131◦48.8 -11◦34.2 15◦54.8 -15◦00.3 31◦25.6 -19◦14.521 356◦21.8 90◦13.7 -27◦07.8 146◦49.7 -11◦34.8 30◦57.1 -15◦00.2 46◦28.0 -19◦14.522 11◦24.3 105◦13.5 -27◦07.9 161◦50.6 -11◦35.4 45◦59.5 -15◦00.2 61◦30.4 -19◦14.523 26◦26.8 120◦13.2 -27◦08.0 176◦51.4 -11◦36.0 61◦01.8 -15◦00.1 76◦32.7 -19◦14.5Mer.pass.:21:14 v-0.3 d-0.1 m-4.3 v0.9 d-0.6 m1.7 v2.4 d0.0 m-2.4 v2.4 d0.0 m0.6

Tue GHA GHA Dec GHA Dec GHA Dec GHA Dec0 41◦29.2 135◦12.9 -27◦08.1 191◦52.3 -11◦36.6 76◦04.2 -15◦00.1 91◦35.1 -19◦14.41 56◦31.7 150◦12.6 -27◦08.3 206◦53.2 -11◦37.2 91◦06.5 -15◦00.0 106◦37.5 -19◦14.42 71◦34.1 165◦12.4 -27◦08.4 221◦54.0 -11◦37.8 106◦08.9 -14◦60.0 121◦39.8 -19◦14.43 86◦36.6 180◦12.1 -27◦08.5 236◦54.9 -11◦38.4 121◦11.2 -14◦59.9 136◦42.2 -19◦14.44 101◦39.1 195◦11.8 -27◦08.6 251◦55.7 -11◦39.0 136◦13.6 -14◦59.9 151◦44.6 -19◦14.45 116◦41.5 210◦11.6 -27◦08.7 266◦56.6 -11◦39.6 151◦15.9 -14◦59.9 166◦47.0 -19◦14.36 131◦44.0 225◦11.3 -27◦08.8 281◦57.5 -11◦40.2 166◦18.2 -14◦59.8 181◦49.3 -19◦14.37 146◦46.5 240◦11.0 -27◦08.9 296◦58.3 -11◦40.8 181◦20.6 -14◦59.8 196◦51.7 -19◦14.38 161◦48.9 255◦10.8 -27◦09.0 311◦59.2 -11◦41.4 196◦22.9 -14◦59.7 211◦54.1 -19◦14.39 176◦51.4 270◦10.5 -27◦09.1 327◦00.0 -11◦42.0 211◦25.3 -14◦59.7 226◦56.4 -19◦14.210 191◦53.9 285◦10.2 -27◦09.2 342◦00.9 -11◦42.6 226◦27.6 -14◦59.6 241◦58.8 -19◦14.211 206◦56.3 300◦10.0 -27◦09.3 357◦01.8 -11◦43.2 241◦30.0 -14◦59.6 257◦01.2 -19◦14.212 221◦58.8 315◦09.7 -27◦09.4 12◦02.6 -11◦43.8 256◦32.3 -14◦59.5 272◦03.5 -19◦14.213 237◦01.3 330◦09.4 -27◦09.5 27◦03.5 -11◦44.4 271◦34.6 -14◦59.5 287◦05.9 -19◦14.114 252◦03.7 345◦09.2 -27◦09.6 42◦04.3 -11◦45.0 286◦37.0 -14◦59.4 302◦08.3 -19◦14.115 267◦06.2 0◦08.9 -27◦09.7 57◦05.2 -11◦45.6 301◦39.3 -14◦59.4 317◦10.7 -19◦14.116 282◦08.6 15◦08.6 -27◦09.8 72◦06.0 -11◦46.2 316◦41.7 -14◦59.3 332◦13.0 -19◦14.117 297◦11.1 30◦08.4 -27◦09.9 87◦06.9 -11◦46.8 331◦44.0 -14◦59.3 347◦15.4 -19◦14.018 312◦13.6 45◦08.1 -27◦10.0 102◦07.8 -11◦47.4 346◦46.4 -14◦59.2 2◦17.8 -19◦14.019 327◦16.0 60◦07.9 -27◦10.1 117◦08.6 -11◦48.0 1◦48.7 -14◦59.2 17◦20.1 -19◦14.020 342◦18.5 75◦07.6 -27◦10.2 132◦09.5 -11◦48.6 16◦51.0 -14◦59.2 32◦22.5 -19◦14.021 357◦21.0 90◦07.4 -27◦10.3 147◦10.3 -11◦49.2 31◦53.4 -14◦59.1 47◦24.9 -19◦13.922 12◦23.4 105◦07.1 -27◦10.4 162◦11.2 -11◦49.8 46◦55.7 -14◦59.1 62◦27.2 -19◦13.923 27◦25.9 120◦06.8 -27◦10.5 177◦12.0 -11◦50.4 61◦58.1 -14◦59.0 77◦29.6 -19◦13.9Mer.pass.:21:10 v-0.3 d-0.1 m-4.3 v0.9 d-0.6 m1.7 v2.3 d0.0 m-2.3 v2.4 d0.0 m0.6

StarsSHA Dec

Alpheratz 357◦37.2 29◦12.8Ankaa 353◦09.4 -42◦11.4

Schedar 349◦33.5 56◦39.5Diphda 348◦49.6 -17◦52.1

Achernar 335◦21.7 -57◦07.7Hamal 327◦53.8 23◦34.0Polaris 314◦47.2 89◦21.3Akamar 315◦13.4 -40◦13.0Menkar 314◦08.6 4◦10.5Mirfak 308◦31.5 49◦56.2

Aldebaran 290◦42.4 16◦33.2Rigel 281◦06.1 -8◦10.5

Capella 280◦25.4 46◦01.1Bellatrix 278◦25.4 6◦22.2Elnath 278◦04.9 28◦37.5Alnilam 275◦40.2 -1◦11.2

Betelgeuse 270◦54.7 7◦24.7Canopus 263◦53.2 -52◦42.2

Sirius 258◦28.3 -16◦44.4Adara 255◦07.8 -28◦59.9

Procyon 244◦53.4 5◦10.4Pollux 243◦20.3 27◦58.4Avior 234◦15.7 -59◦34.4Suhail 222◦48.3 -43◦30.9

Miaplacidus 221◦38.9 -69◦48.0Alphard 217◦50.4 -8◦45.0Regulus 207◦37.3 11◦51.8Dubhe 193◦44.7 61◦37.9

Denebola 182◦27.8 14◦27.2Gienah 175◦46.5 -17◦39.5Acrux 173◦03.6 -63◦12.9

Gacrux 171◦55.0 -57◦13.8Alioth 166◦15.9 55◦50.5Spica 158◦25.4 -11◦16.3Alcaid 152◦54.6 49◦12.4Hadar 148◦40.4 -60◦28.5

Menkent 148◦01.1 -36◦28.4Arcturus 145◦50.5 19◦04.6

Rigil Kent. 139◦44.6 -60◦55.3Zubenelg. 136◦59.3 -16◦07.7Kochab 137◦21.0 74◦04.0

Alphecca 126◦06.4 26◦38.7Antares 112◦19.4 -26◦28.7

Atria 107◦16.4 -69◦04.0Sabik 102◦06.1 -15◦45.0

Shaula 96◦14.3 -37◦07.2Rasalhague 96◦01.3 12◦32.9

Etamin 90◦43.8 51◦29.4Kaus Aust. 83◦36.2 -34◦22.5

Vega 80◦35.3 38◦48.4Nunki 75◦51.2 -26◦16.2Altair 62◦02.7 8◦55.6

Peacock 53◦10.0 -56◦40.1Deneb 49◦27.6 45◦21.7

Enif 33◦41.3 9◦58.6Alnair 27◦36.1 -46◦51.5

Fomalhaut 15◦17.3 -29◦30.5Scheat 13◦47.6 28◦12.2Markab 13◦32.3 15◦19.4

2021/10/ SHA Mer.passVenus 95◦55.8 14:59Mars 151◦39.8 11:15

Jupiter 34◦40.2 19:00Saturn 50◦10.2 17:58

2021/11/ SHA Mer.passVenus 94◦49.6 14:59Mars 151◦01.5 11:13

Jupiter 34◦37.7 18:57Saturn 50◦08.1 17:55

2021/11/ SHA Mer.passVenus 93◦43.7 14:59Mars 150◦23.1 11:12

Jupiter 34◦35.0 18:53Saturn 50◦05.9 17:51

Horizontal paralaxVenus: 0.2Mars: 0.1

204

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2021 October 31 to Nov. 02

h Sun MoonSun GHA Dec GHA ν Dec d HP0 184◦05.9 -14◦06.2 242◦25.4 11.9 15◦13.2 -12.1 57.11 199◦05.9 -14◦07.0 256◦56.2 11.9 15◦01.1 -12.2 57.12 214◦05.9 -14◦07.8 271◦27.1 11.9 14◦48.8 -12.3 57.23 229◦05.9 -14◦08.6 285◦58.0 11.9 14◦36.4 -12.4 57.24 244◦06.0 -14◦09.4 300◦28.9 11.9 14◦24.0 -12.5 57.35 259◦06.0 -14◦10.2 314◦59.8 11.9 14◦11.4 -12.6 57.36 274◦06.0 -14◦11.0 329◦30.8 11.9 13◦58.8 -12.7 57.37 289◦06.0 -14◦11.8 344◦01.7 12.0 13◦46.1 -12.8 57.48 304◦06.1 -14◦12.7 358◦32.7 12.0 13◦33.3 -12.8 57.49 319◦06.1 -14◦13.5 13◦03.6 12.0 13◦20.4 -12.9 57.410 334◦06.1 -14◦14.3 27◦34.6 12.0 13◦07.4 -13.0 57.511 349◦06.1 -14◦15.1 42◦05.6 12.0 12◦54.4 -13.1 57.512 4◦06.1 -14◦15.9 56◦36.6 12.0 12◦41.3 -13.2 57.613 19◦06.2 -14◦16.7 71◦07.6 12.0 12◦28.1 -13.2 57.614 34◦06.2 -14◦17.5 85◦38.6 12.0 12◦14.8 -13.3 57.615 49◦06.2 -14◦18.3 100◦09.7 12.0 12◦01.4 -13.4 57.716 64◦06.2 -14◦19.1 114◦40.7 12.0 11◦48.0 -13.5 57.717 79◦06.2 -14◦19.9 129◦11.8 12.0 11◦34.4 -13.6 57.818 94◦06.3 -14◦20.7 143◦42.8 12.1 11◦20.8 -13.6 57.819 109◦06.3 -14◦21.5 158◦13.9 12.1 11◦07.2 -13.7 57.820 124◦06.3 -14◦22.3 172◦44.9 12.1 10◦53.4 -13.8 57.921 139◦06.3 -14◦23.1 187◦16.0 12.1 10◦39.6 -13.9 57.922 154◦06.3 -14◦23.9 201◦47.0 12.1 10◦25.7 -13.9 58.023 169◦06.4 -14◦24.7 216◦18.1 12.1 10◦11.7 -14.0 58.0

SD.=16.1 d=-0.8 S.D.=15.6

Mon GHA Dec GHA ν Dec d HP0 184◦06.4 -14◦25.5 230◦49.2 12.1 9◦57.7 -14.1 58.01 199◦06.4 -14◦26.3 245◦20.2 12.1 9◦43.6 -14.1 58.12 214◦06.4 -14◦27.1 259◦51.3 12.1 9◦29.4 -14.2 58.13 229◦06.4 -14◦27.9 274◦22.3 12.1 9◦15.2 -14.3 58.24 244◦06.4 -14◦28.7 288◦53.4 12.1 9◦00.9 -14.3 58.25 259◦06.5 -14◦29.5 303◦24.5 12.1 8◦46.5 -14.4 58.26 274◦06.5 -14◦30.3 317◦55.5 12.0 8◦32.1 -14.5 58.37 289◦06.5 -14◦31.1 332◦26.5 12.0 8◦17.6 -14.5 58.38 304◦06.5 -14◦31.9 346◦57.6 12.0 8◦03.0 -14.6 58.49 319◦06.5 -14◦32.7 1◦28.6 12.0 7◦48.4 -14.7 58.410 334◦06.5 -14◦33.5 15◦59.6 12.0 7◦33.7 -14.7 58.411 349◦06.5 -14◦34.3 30◦30.6 12.0 7◦19.0 -14.8 58.512 4◦06.6 -14◦35.1 45◦01.6 12.0 7◦04.2 -14.8 58.513 19◦06.6 -14◦35.9 59◦32.6 12.0 6◦49.3 -14.9 58.614 34◦06.6 -14◦36.7 74◦03.6 12.0 6◦34.4 -14.9 58.615 49◦06.6 -14◦37.5 88◦34.6 12.0 6◦19.4 -15.0 58.616 64◦06.6 -14◦38.3 103◦05.5 11.9 6◦04.4 -15.0 58.717 79◦06.6 -14◦39.1 117◦36.5 11.9 5◦49.3 -15.1 58.718 94◦06.6 -14◦39.9 132◦07.4 11.9 5◦34.2 -15.1 58.719 109◦06.6 -14◦40.7 146◦38.3 11.9 5◦19.1 -15.2 58.820 124◦06.7 -14◦41.5 161◦09.2 11.9 5◦03.8 -15.2 58.821 139◦06.7 -14◦42.2 175◦40.0 11.9 4◦48.6 -15.3 58.922 154◦06.7 -14◦43.0 190◦10.9 11.8 4◦33.3 -15.3 58.923 169◦06.7 -14◦43.8 204◦41.7 11.8 4◦17.9 -15.4 58.9

SD.=16.1 d=-0.8 S.D.=15.8

Tue GHA Dec GHA ν Dec d HP0 184◦06.7 -14◦44.6 219◦12.5 11.8 4◦02.5 -15.4 59.01 199◦06.7 -14◦45.4 233◦43.3 11.8 3◦47.1 -15.5 59.02 214◦06.7 -14◦46.2 248◦14.0 11.7 3◦31.6 -15.5 59.13 229◦06.7 -14◦47.0 262◦44.8 11.7 3◦16.1 -15.5 59.14 244◦06.7 -14◦47.8 277◦15.5 11.7 3◦00.5 -15.6 59.15 259◦06.7 -14◦48.6 291◦46.2 11.7 2◦44.9 -15.6 59.26 274◦06.7 -14◦49.4 306◦16.8 11.6 2◦29.3 -15.6 59.27 289◦06.7 -14◦50.2 320◦47.4 11.6 2◦13.6 -15.7 59.28 304◦06.8 -14◦50.9 335◦18.0 11.6 1◦58.0 -15.7 59.39 319◦06.8 -14◦51.7 349◦48.6 11.5 1◦42.2 -15.7 59.310 334◦06.8 -14◦52.5 4◦19.1 11.5 1◦26.5 -15.8 59.411 349◦06.8 -14◦53.3 18◦49.6 11.5 1◦10.7 -15.8 59.412 4◦06.8 -14◦54.1 33◦20.0 11.4 0◦54.9 -15.8 59.413 19◦06.8 -14◦54.9 47◦50.4 11.4 0◦39.0 -15.8 59.514 34◦06.8 -14◦55.7 62◦20.8 11.4 0◦23.2 -15.9 59.515 49◦06.8 -14◦56.4 76◦51.1 11.3 0◦07.3 -15.9 59.516 64◦06.8 -14◦57.2 91◦21.4 11.3 -0◦08.6 -15.9 59.617 79◦06.8 -14◦58.0 105◦51.7 11.2 -0◦24.5 -15.9 59.618 94◦06.8 -14◦58.8 120◦21.9 11.2 -0◦40.5 -15.9 59.619 109◦06.8 -14◦59.6 134◦52.1 11.2 -0◦56.4 -16.0 59.720 124◦06.8 -15◦00.4 149◦22.2 11.1 -1◦12.4 -16.0 59.721 139◦06.8 -15◦01.1 163◦52.3 11.1 -1◦28.4 -16.0 59.722 154◦06.8 -15◦01.9 178◦22.3 11.0 -1◦44.4 -16.0 59.823 169◦06.8 -15◦02.7 192◦52.3 11.0 -2◦00.4 -16.0 59.8

SD.=16.1 d=-0.8 S.D.=16.1

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 06:07 07:30 08:58 14:28 15:55 17:1870 06:03 07:17 08:31 14:54 16:09 17:2368 05:59 07:06 08:12 15:14 16:20 17:2766 05:56 06:57 07:56 15:30 16:29 17:3064 05:53 06:50 07:43 15:43 16:36 17:3362 05:50 06:43 07:32 15:54 16:43 17:3660 05:48 06:37 07:23 16:04 16:49 17:3858 05:46 06:32 07:14 16:12 16:54 17:4156 05:43 06:28 07:07 16:19 16:59 17:4354 05:41 06:23 07:01 16:25 17:03 17:4552 05:40 06:19 06:55 16:31 17:07 17:4750 05:38 06:16 06:50 16:37 17:11 17:4945 05:33 06:08 06:39 16:48 17:19 17:5340 05:29 06:01 06:29 16:57 17:26 17:5835 05:25 05:55 06:21 17:06 17:32 18:0230 05:21 05:49 06:14 17:13 17:38 18:0620 05:13 05:39 06:02 17:25 17:48 18:1410 05:04 05:29 05:51 17:36 17:58 18:230 04:54 05:19 05:40 17:47 18:08 18:33-10 04:42 05:08 05:30 17:58 18:19 18:45-20 04:28 04:55 05:18 18:09 18:32 18:59-30 04:10 04:40 05:05 18:22 18:48 19:18-35 03:58 04:31 04:58 18:30 18:57 19:29-40 03:44 04:20 04:49 18:39 19:08 19:44-45 03:27 04:07 04:39 18:49 19:22 20:01-50 03:04 03:50 04:26 19:02 19:38 20:25-52 02:53 03:42 04:20 19:08 19:46 20:36-54 02:39 03:33 04:14 19:14 19:56 20:50-56 02:24 03:23 04:07 19:22 20:06 21:06-58 02:04 03:11 03:59 19:30 20:18 21:26-60 01:39 02:58 03:50 19:39 20:32 21:52

Moonrise MoonsetLat. Sun Mon Tue Sun Mon Tue72 –:– 00:31 02:50 16:57 16:22 15:5170 –:– 00:47 02:54 16:39 16:14 15:5168 –:– 00:60 02:58 16:24 16:07 15:5266 –:– 01:10 03:01 16:12 16:01 15:5264 –:– 01:19 03:04 16:01 15:57 15:5262 –:– 01:26 03:06 15:53 15:53 15:5260 –:– 01:33 03:08 15:45 15:49 15:5258 00:09 01:38 03:10 15:38 15:46 15:5256 00:17 01:43 03:11 15:32 15:43 15:5354 00:25 01:48 03:13 15:27 15:40 15:5352 00:31 01:52 03:14 15:22 15:38 15:5350 00:37 01:55 03:15 15:18 15:36 15:5345 00:50 02:03 03:18 15:08 15:31 15:5340 01:01 02:09 03:20 14:60 15:27 15:5335 01:10 02:15 03:22 14:53 15:23 15:5330 01:18 02:20 03:23 14:47 15:20 15:5320 01:32 02:28 03:26 14:36 15:15 15:5410 01:43 02:36 03:28 14:26 15:10 15:540 01:55 02:43 03:31 14:17 15:05 15:54-10 02:06 02:49 03:33 14:08 15:01 15:54-20 02:17 02:57 03:35 13:59 14:56 15:54-30 02:31 03:05 03:38 13:47 14:50 15:54-35 02:38 03:10 03:40 13:41 14:47 15:54-40 02:47 03:15 03:42 13:34 14:43 15:54-45 02:57 03:21 03:44 13:25 14:38 15:54-50 03:09 03:29 03:46 13:14 14:33 15:54-52 03:15 03:32 03:47 13:09 14:31 15:54-54 03:21 03:36 03:48 13:04 14:28 15:54-56 03:28 03:40 03:50 12:58 14:25 15:54-58 03:36 03:44 03:51 12:51 14:21 15:54-60 03:45 03:49 03:53 12:43 14:18 15:54

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower31 16:23 16:25 11:43 08:06 20:29 25(24%)1 16:25 16:26 11:43 08:53 21:17 26(15%)2 16:27 16:27 11:43 09:42 22:06 27(8%)

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November 03, 04 ,05 (Wed., Thu., Fri.)Aries Venus Mars Jupiter Saturn

Wed GHA GHA Dec GHA Dec GHA Dec GHA Dec0 42◦28.4 135◦06.6 -27◦10.6 192◦12.9 -11◦51.0 77◦00.4 -14◦59.0 92◦32.0 -19◦13.91 57◦30.8 150◦06.3 -27◦10.7 207◦13.8 -11◦51.6 92◦02.7 -14◦58.9 107◦34.3 -19◦13.82 72◦33.3 165◦06.1 -27◦10.8 222◦14.6 -11◦52.2 107◦05.1 -14◦58.9 122◦36.7 -19◦13.83 87◦35.7 180◦05.8 -27◦10.9 237◦15.5 -11◦52.8 122◦07.4 -14◦58.8 137◦39.1 -19◦13.84 102◦38.2 195◦05.6 -27◦10.9 252◦16.3 -11◦53.4 137◦09.7 -14◦58.8 152◦41.4 -19◦13.85 117◦40.7 210◦05.3 -27◦11.0 267◦17.2 -11◦54.0 152◦12.1 -14◦58.7 167◦43.8 -19◦13.76 132◦43.1 225◦05.1 -27◦11.1 282◦18.0 -11◦54.6 167◦14.4 -14◦58.7 182◦46.2 -19◦13.77 147◦45.6 240◦04.8 -27◦11.2 297◦18.9 -11◦55.2 182◦16.8 -14◦58.6 197◦48.5 -19◦13.78 162◦48.1 255◦04.6 -27◦11.3 312◦19.8 -11◦55.8 197◦19.1 -14◦58.6 212◦50.9 -19◦13.79 177◦50.5 270◦04.3 -27◦11.4 327◦20.6 -11◦56.4 212◦21.4 -14◦58.5 227◦53.3 -19◦13.610 192◦53.0 285◦04.1 -27◦11.4 342◦21.5 -11◦57.0 227◦23.8 -14◦58.5 242◦55.6 -19◦13.611 207◦55.5 300◦03.8 -27◦11.5 357◦22.3 -11◦57.6 242◦26.1 -14◦58.4 257◦58.0 -19◦13.612 222◦57.9 315◦03.6 -27◦11.6 12◦23.2 -11◦58.2 257◦28.4 -14◦58.4 273◦00.4 -19◦13.613 238◦00.4 330◦03.4 -27◦11.7 27◦24.0 -11◦58.8 272◦30.8 -14◦58.3 288◦02.7 -19◦13.514 253◦02.9 345◦03.1 -27◦11.8 42◦24.9 -11◦59.4 287◦33.1 -14◦58.3 303◦05.1 -19◦13.515 268◦05.3 0◦02.9 -27◦11.8 57◦25.7 -11◦60.0 302◦35.4 -14◦58.2 318◦07.4 -19◦13.516 283◦07.8 15◦02.6 -27◦11.9 72◦26.6 -12◦00.6 317◦37.8 -14◦58.2 333◦09.8 -19◦13.517 298◦10.2 30◦02.4 -27◦12.0 87◦27.4 -12◦01.2 332◦40.1 -14◦58.1 348◦12.2 -19◦13.418 313◦12.7 45◦02.1 -27◦12.0 102◦28.3 -12◦01.8 347◦42.4 -14◦58.1 3◦14.5 -19◦13.419 328◦15.2 60◦01.9 -27◦12.1 117◦29.1 -12◦02.3 2◦44.8 -14◦58.0 18◦16.9 -19◦13.420 343◦17.6 75◦01.7 -27◦12.2 132◦30.0 -12◦02.9 17◦47.1 -14◦58.0 33◦19.3 -19◦13.421 358◦20.1 90◦01.4 -27◦12.3 147◦30.9 -12◦03.5 32◦49.4 -14◦57.9 48◦21.6 -19◦13.322 13◦22.6 105◦01.2 -27◦12.3 162◦31.7 -12◦04.1 47◦51.8 -14◦57.9 63◦24.0 -19◦13.323 28◦25.0 120◦01.0 -27◦12.4 177◦32.6 -12◦04.7 62◦54.1 -14◦57.8 78◦26.4 -19◦13.3Mer.pass.:21:06 v-0.3 d-0.1 m-4.3 v0.9 d-0.6 m1.7 v2.3 d0.0 m-2.3 v2.4 d0.0 m0.6

Thu GHA GHA Dec GHA Dec GHA Dec GHA Dec0 43◦27.5 135◦00.7 -27◦12.5 192◦33.4 -12◦05.3 77◦56.4 -14◦57.8 93◦28.7 -19◦13.31 58◦30.0 150◦00.5 -27◦12.5 207◦34.3 -12◦05.9 92◦58.8 -14◦57.7 108◦31.1 -19◦13.22 73◦32.4 165◦00.2 -27◦12.6 222◦35.1 -12◦06.5 108◦01.1 -14◦57.7 123◦33.4 -19◦13.23 88◦34.9 180◦00.0 -27◦12.6 237◦36.0 -12◦07.1 123◦03.4 -14◦57.6 138◦35.8 -19◦13.24 103◦37.3 194◦59.8 -27◦12.7 252◦36.8 -12◦07.7 138◦05.7 -14◦57.6 153◦38.2 -19◦13.25 118◦39.8 209◦59.6 -27◦12.8 267◦37.7 -12◦08.3 153◦08.1 -14◦57.5 168◦40.5 -19◦13.16 133◦42.3 224◦59.3 -27◦12.8 282◦38.5 -12◦08.9 168◦10.4 -14◦57.5 183◦42.9 -19◦13.17 148◦44.7 239◦59.1 -27◦12.9 297◦39.4 -12◦09.5 183◦12.7 -14◦57.4 198◦45.3 -19◦13.18 163◦47.2 254◦58.9 -27◦12.9 312◦40.2 -12◦10.1 198◦15.1 -14◦57.4 213◦47.6 -19◦13.19 178◦49.7 269◦58.6 -27◦13.0 327◦41.1 -12◦10.7 213◦17.4 -14◦57.3 228◦50.0 -19◦13.010 193◦52.1 284◦58.4 -27◦13.0 342◦41.9 -12◦11.3 228◦19.7 -14◦57.3 243◦52.3 -19◦13.011 208◦54.6 299◦58.2 -27◦13.1 357◦42.8 -12◦11.9 243◦22.0 -14◦57.2 258◦54.7 -19◦13.012 223◦57.1 314◦58.0 -27◦13.2 12◦43.6 -12◦12.5 258◦24.4 -14◦57.1 273◦57.1 -19◦13.013 238◦59.5 329◦57.7 -27◦13.2 27◦44.5 -12◦13.0 273◦26.7 -14◦57.1 288◦59.4 -19◦12.914 254◦02.0 344◦57.5 -27◦13.3 42◦45.3 -12◦13.6 288◦29.0 -14◦57.0 304◦01.8 -19◦12.915 269◦04.5 359◦57.3 -27◦13.3 57◦46.2 -12◦14.2 303◦31.3 -14◦57.0 319◦04.1 -19◦12.916 284◦06.9 14◦57.1 -27◦13.4 72◦47.0 -12◦14.8 318◦33.7 -14◦56.9 334◦06.5 -19◦12.917 299◦09.4 29◦56.8 -27◦13.4 87◦47.9 -12◦15.4 333◦36.0 -14◦56.9 349◦08.9 -19◦12.818 314◦11.8 44◦56.6 -27◦13.5 102◦48.7 -12◦16.0 348◦38.3 -14◦56.8 4◦11.2 -19◦12.819 329◦14.3 59◦56.4 -27◦13.5 117◦49.6 -12◦16.6 3◦40.6 -14◦56.8 19◦13.6 -19◦12.820 344◦16.8 74◦56.2 -27◦13.5 132◦50.4 -12◦17.2 18◦43.0 -14◦56.7 34◦15.9 -19◦12.721 359◦19.2 89◦56.0 -27◦13.6 147◦51.3 -12◦17.8 33◦45.3 -14◦56.7 49◦18.3 -19◦12.722 14◦21.7 104◦55.8 -27◦13.6 162◦52.1 -12◦18.4 48◦47.6 -14◦56.6 64◦20.7 -19◦12.723 29◦24.2 119◦55.5 -27◦13.7 177◦53.0 -12◦19.0 63◦49.9 -14◦56.6 79◦23.0 -19◦12.7Mer.pass.:21:02 v-0.2 d-0.1 m-4.3 v0.9 d-0.6 m1.7 v2.3 d0.1 m-2.3 v2.4 d0.0 m0.6

Fri GHA GHA Dec GHA Dec GHA Dec GHA Dec0 44◦26.6 134◦55.3 -27◦13.7 192◦53.8 -12◦19.6 78◦52.3 -14◦56.5 94◦25.4 -19◦12.61 59◦29.1 149◦55.1 -27◦13.8 207◦54.7 -12◦20.2 93◦54.6 -14◦56.5 109◦27.7 -19◦12.62 74◦31.6 164◦54.9 -27◦13.8 222◦55.5 -12◦20.7 108◦56.9 -14◦56.4 124◦30.1 -19◦12.63 89◦34.0 179◦54.7 -27◦13.8 237◦56.4 -12◦21.3 123◦59.2 -14◦56.3 139◦32.5 -19◦12.64 104◦36.5 194◦54.5 -27◦13.9 252◦57.2 -12◦21.9 139◦01.6 -14◦56.3 154◦34.8 -19◦12.55 119◦39.0 209◦54.3 -27◦13.9 267◦58.1 -12◦22.5 154◦03.9 -14◦56.2 169◦37.2 -19◦12.56 134◦41.4 224◦54.1 -27◦13.9 282◦58.9 -12◦23.1 169◦06.2 -14◦56.2 184◦39.5 -19◦12.57 149◦43.9 239◦53.8 -27◦14.0 297◦59.7 -12◦23.7 184◦08.5 -14◦56.1 199◦41.9 -19◦12.58 164◦46.3 254◦53.6 -27◦14.0 313◦00.6 -12◦24.3 199◦10.8 -14◦56.1 214◦44.2 -19◦12.49 179◦48.8 269◦53.4 -27◦14.0 328◦01.4 -12◦24.9 214◦13.2 -14◦56.0 229◦46.6 -19◦12.410 194◦51.3 284◦53.2 -27◦14.1 343◦02.3 -12◦25.5 229◦15.5 -14◦56.0 244◦49.0 -19◦12.411 209◦53.7 299◦53.0 -27◦14.1 358◦03.1 -12◦26.1 244◦17.8 -14◦55.9 259◦51.3 -19◦12.312 224◦56.2 314◦52.8 -27◦14.1 13◦04.0 -12◦26.7 259◦20.1 -14◦55.9 274◦53.7 -19◦12.313 239◦58.7 329◦52.6 -27◦14.2 28◦04.8 -12◦27.2 274◦22.4 -14◦55.8 289◦56.0 -19◦12.314 255◦01.1 344◦52.4 -27◦14.2 43◦05.7 -12◦27.8 289◦24.8 -14◦55.7 304◦58.4 -19◦12.315 270◦03.6 359◦52.2 -27◦14.2 58◦06.5 -12◦28.4 304◦27.1 -14◦55.7 320◦00.7 -19◦12.216 285◦06.1 14◦52.0 -27◦14.2 73◦07.4 -12◦29.0 319◦29.4 -14◦55.6 335◦03.1 -19◦12.217 300◦08.5 29◦51.8 -27◦14.3 88◦08.2 -12◦29.6 334◦31.7 -14◦55.6 350◦05.5 -19◦12.218 315◦11.0 44◦51.6 -27◦14.3 103◦09.0 -12◦30.2 349◦34.0 -14◦55.5 5◦07.8 -19◦12.219 330◦13.4 59◦51.4 -27◦14.3 118◦09.9 -12◦30.8 4◦36.3 -14◦55.5 20◦10.2 -19◦12.120 345◦15.9 74◦51.2 -27◦14.3 133◦10.7 -12◦31.4 19◦38.7 -14◦55.4 35◦12.5 -19◦12.121 0◦18.4 89◦51.0 -27◦14.3 148◦11.6 -12◦32.0 34◦41.0 -14◦55.4 50◦14.9 -19◦12.122 15◦20.8 104◦50.8 -27◦14.4 163◦12.4 -12◦32.6 49◦43.3 -14◦55.3 65◦17.2 -19◦12.023 30◦23.3 119◦50.6 -27◦14.4 178◦13.3 -12◦33.1 64◦45.6 -14◦55.2 80◦19.6 -19◦12.0Mer.pass.:20:58 v-0.2 d-0.0 m-4.3 v0.8 d-0.6 m1.7 v2.3 d0.1 m-2.3 v2.4 d0.0 m0.6

StarsSHA Dec

Alpheratz 357◦37.2 29◦12.8Ankaa 353◦09.4 -42◦11.4

Schedar 349◦33.5 56◦39.5Diphda 348◦49.6 -17◦52.1

Achernar 335◦21.7 -57◦07.7Hamal 327◦53.8 23◦34.0Polaris 314◦46.9 89◦21.3Akamar 315◦13.4 -40◦13.0Menkar 314◦08.6 4◦10.5Mirfak 308◦31.5 49◦56.3

Aldebaran 290◦42.3 16◦33.2Rigel 281◦06.1 -8◦10.5

Capella 280◦25.4 46◦01.1Bellatrix 278◦25.4 6◦22.2Elnath 278◦04.9 28◦37.5Alnilam 275◦40.2 -1◦11.2

Betelgeuse 270◦54.7 7◦24.7Canopus 263◦53.2 -52◦42.2

Sirius 258◦28.3 -16◦44.4Adara 255◦07.7 -28◦59.9

Procyon 244◦53.4 5◦10.4Pollux 243◦20.3 27◦58.4Avior 234◦15.7 -59◦34.4Suhail 222◦48.2 -43◦30.9

Miaplacidus 221◦38.8 -69◦48.0Alphard 217◦50.4 -8◦45.0Regulus 207◦37.3 11◦51.7Dubhe 193◦44.6 61◦37.9

Denebola 182◦27.8 14◦27.2Gienah 175◦46.5 -17◦39.5Acrux 173◦03.5 -63◦12.9

Gacrux 171◦55.0 -57◦13.8Alioth 166◦15.9 55◦50.5Spica 158◦25.4 -11◦16.3Alcaid 152◦54.6 49◦12.3Hadar 148◦40.3 -60◦28.5

Menkent 148◦01.1 -36◦28.4Arcturus 145◦50.5 19◦04.6

Rigil Kent. 139◦44.6 -60◦55.3Zubenelg. 136◦59.3 -16◦07.7Kochab 137◦21.0 74◦04.0

Alphecca 126◦06.4 26◦38.7Antares 112◦19.4 -26◦28.7

Atria 107◦16.5 -69◦04.0Sabik 102◦06.1 -15◦45.0

Shaula 96◦14.3 -37◦07.1Rasalhague 96◦01.3 12◦32.9

Etamin 90◦43.8 51◦29.4Kaus Aust. 83◦36.2 -34◦22.5

Vega 80◦35.3 38◦48.4Nunki 75◦51.2 -26◦16.2Altair 62◦02.7 8◦55.6

Peacock 53◦10.0 -56◦40.1Deneb 49◦27.6 45◦21.7

Enif 33◦41.3 9◦58.6Alnair 27◦36.1 -46◦51.5

Fomalhaut 15◦17.3 -29◦30.5Scheat 13◦47.6 28◦12.2Markab 13◦32.4 15◦19.4

2021/11/ SHA Mer.passVenus 92◦38.2 14:60Mars 149◦44.5 11:11

Jupiter 34◦32.0 18:49Saturn 50◦03.6 17:47

2021/11/ SHA Mer.passVenus 91◦33.2 15:00Mars 149◦05.9 11:09

Jupiter 34◦28.9 18:45Saturn 50◦01.2 17:43

2021/11/ SHA Mer.passVenus 90◦28.7 15:01Mars 148◦27.2 11:08

Jupiter 34◦25.6 18:42Saturn 49◦58.7 17:40

Horizontal paralaxVenus: 0.2Mars: 0.1

206

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2021 November 03 to Nov. 05

h Sun MoonWed GHA Dec GHA ν Dec d HP0 184◦06.8 -15◦03.5 207◦22.3 10.9 -2◦16.4 -16.0 59.81 199◦06.8 -15◦04.3 221◦52.2 10.9 -2◦32.4 -16.0 59.92 214◦06.8 -15◦05.1 236◦22.0 10.8 -2◦48.4 -16.0 59.93 229◦06.8 -15◦05.8 250◦51.8 10.8 -3◦04.4 -16.0 59.94 244◦06.8 -15◦06.6 265◦21.5 10.7 -3◦20.5 -16.0 60.05 259◦06.8 -15◦07.4 279◦51.2 10.7 -3◦36.5 -16.0 60.06 274◦06.8 -15◦08.2 294◦20.8 10.6 -3◦52.5 -16.0 60.07 289◦06.8 -15◦08.9 308◦50.4 10.5 -4◦08.5 -16.0 60.18 304◦06.8 -15◦09.7 323◦19.9 10.5 -4◦24.6 -16.0 60.19 319◦06.8 -15◦10.5 337◦49.4 10.4 -4◦40.6 -16.0 60.110 334◦06.8 -15◦11.3 352◦18.8 10.4 -4◦56.6 -16.0 60.211 349◦06.8 -15◦12.1 6◦48.1 10.3 -5◦12.5 -16.0 60.212 4◦06.8 -15◦12.8 21◦17.4 10.2 -5◦28.5 -16.0 60.213 19◦06.8 -15◦13.6 35◦46.6 10.2 -5◦44.5 -16.0 60.214 34◦06.8 -15◦14.4 50◦15.7 10.1 -6◦00.4 -15.9 60.315 49◦06.8 -15◦15.2 64◦44.8 10.0 -6◦16.4 -15.9 60.316 64◦06.8 -15◦15.9 79◦13.8 10.0 -6◦32.3 -15.9 60.317 79◦06.8 -15◦16.7 93◦42.8 9.9 -6◦48.2 -15.9 60.418 94◦06.8 -15◦17.5 108◦11.6 9.8 -7◦04.0 -15.9 60.419 109◦06.7 -15◦18.3 122◦40.4 9.8 -7◦19.9 -15.8 60.420 124◦06.7 -15◦19.0 137◦09.2 9.7 -7◦35.7 -15.8 60.421 139◦06.7 -15◦19.8 151◦37.8 9.6 -7◦51.5 -15.8 60.522 154◦06.7 -15◦20.6 166◦06.4 9.6 -8◦07.2 -15.7 60.523 169◦06.7 -15◦21.3 180◦35.0 9.5 -8◦22.9 -15.7 60.5

SD.=16.1 d=-0.8 S.D.=16.3

Thu GHA Dec GHA ν Dec d HP0 184◦06.7 -15◦22.1 195◦03.4 9.4 -8◦38.6 -15.7 60.51 199◦06.7 -15◦22.9 209◦31.8 9.3 -8◦54.2 -15.6 60.62 214◦06.7 -15◦23.7 224◦00.1 9.3 -9◦09.9 -15.6 60.63 229◦06.7 -15◦24.4 238◦28.3 9.2 -9◦25.4 -15.5 60.64 244◦06.7 -15◦25.2 252◦56.4 9.1 -9◦40.9 -15.5 60.65 259◦06.7 -15◦26.0 267◦24.5 9.0 -9◦56.4 -15.5 60.66 274◦06.7 -15◦26.7 281◦52.5 8.9 -10◦11.8 -15.4 60.77 289◦06.6 -15◦27.5 296◦20.4 8.9 -10◦27.2 -15.4 60.78 304◦06.6 -15◦28.3 310◦48.2 8.8 -10◦42.6 -15.3 60.79 319◦06.6 -15◦29.0 325◦16.0 8.7 -10◦57.8 -15.2 60.710 334◦06.6 -15◦29.8 339◦43.6 8.6 -11◦13.1 -15.2 60.711 349◦06.6 -15◦30.6 354◦11.2 8.5 -11◦28.2 -15.1 60.812 4◦06.6 -15◦31.3 8◦38.7 8.4 -11◦43.3 -15.1 60.813 19◦06.6 -15◦32.1 23◦06.1 8.4 -11◦58.4 -15.0 60.814 34◦06.6 -15◦32.9 37◦33.4 8.3 -12◦13.3 -14.9 60.815 49◦06.5 -15◦33.6 52◦00.6 8.2 -12◦28.3 -14.9 60.816 64◦06.5 -15◦34.4 66◦27.8 8.1 -12◦43.1 -14.8 60.917 79◦06.5 -15◦35.1 80◦54.8 8.0 -12◦57.9 -14.7 60.918 94◦06.5 -15◦35.9 95◦21.8 7.9 -13◦12.6 -14.7 60.919 109◦06.5 -15◦36.7 109◦48.7 7.8 -13◦27.2 -14.6 60.920 124◦06.5 -15◦37.4 124◦15.5 7.7 -13◦41.8 -14.5 60.921 139◦06.5 -15◦38.2 138◦42.2 7.7 -13◦56.2 -14.4 60.922 154◦06.4 -15◦39.0 153◦08.8 7.6 -14◦10.6 -14.4 60.923 169◦06.4 -15◦39.7 167◦35.3 7.5 -14◦24.9 -14.3 61.0

SD.=16.1 d=-0.8 S.D.=16.5

Fri GHA Dec GHA ν Dec d HP0 184◦06.4 -15◦40.5 182◦01.7 7.4 -14◦39.2 -14.2 61.01 199◦06.4 -15◦41.2 196◦28.0 7.3 -14◦53.3 -14.1 61.02 214◦06.4 -15◦42.0 210◦54.3 7.2 -15◦07.4 -14.0 61.03 229◦06.4 -15◦42.8 225◦20.4 7.1 -15◦21.3 -13.9 61.04 244◦06.3 -15◦43.5 239◦46.5 7.0 -15◦35.2 -13.8 61.05 259◦06.3 -15◦44.3 254◦12.4 6.9 -15◦48.9 -13.7 61.06 274◦06.3 -15◦45.0 268◦38.3 6.8 -16◦02.6 -13.6 61.07 289◦06.3 -15◦45.8 283◦04.1 6.7 -16◦16.2 -13.5 61.08 304◦06.3 -15◦46.5 297◦29.8 6.6 -16◦29.7 -13.4 61.09 319◦06.2 -15◦47.3 311◦55.4 6.5 -16◦43.0 -13.3 61.110 334◦06.2 -15◦48.1 326◦20.8 6.4 -16◦56.3 -13.2 61.111 349◦06.2 -15◦48.8 340◦46.2 6.4 -17◦09.4 -13.1 61.112 4◦06.2 -15◦49.6 355◦11.5 6.3 -17◦22.5 -13.0 61.113 19◦06.2 -15◦50.3 9◦36.8 6.2 -17◦35.4 -12.9 61.114 34◦06.1 -15◦51.1 24◦01.9 6.1 -17◦48.2 -12.8 61.115 49◦06.1 -15◦51.8 38◦26.9 6.0 -18◦00.9 -12.6 61.116 64◦06.1 -15◦52.6 52◦51.8 5.9 -18◦13.5 -12.5 61.117 79◦06.1 -15◦53.3 67◦16.7 5.8 -18◦26.0 -12.4 61.118 94◦06.0 -15◦54.1 81◦41.4 5.7 -18◦38.3 -12.3 61.119 109◦06.0 -15◦54.8 96◦06.1 5.6 -18◦50.5 -12.1 61.120 124◦06.0 -15◦55.6 110◦30.6 5.5 -19◦02.6 -12.0 61.121 139◦06.0 -15◦56.3 124◦55.1 5.4 -19◦14.5 -11.9 61.122 154◦05.9 -15◦57.1 139◦19.5 5.3 -19◦26.4 -11.8 61.123 169◦05.9 -15◦57.8 153◦43.7 5.2 -19◦38.1 -11.6 61.1

SD.=16.1 d=-0.8 S.D.=16.6

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 06:19 07:44 09:18 14:08 15:42 17:0770 06:13 07:29 08:47 14:39 15:57 17:1268 06:08 07:17 08:24 15:02 16:09 17:1766 06:04 07:07 08:07 15:19 16:19 17:2264 06:01 06:58 07:52 15:34 16:28 17:2562 05:57 06:51 07:40 15:46 16:35 17:2960 05:54 06:44 07:30 15:56 16:42 17:3258 05:52 06:39 07:21 16:05 16:48 17:3556 05:49 06:33 07:14 16:13 16:53 17:3754 05:47 06:29 07:07 16:20 16:58 17:4052 05:44 06:24 07:01 16:26 17:02 17:4250 05:42 06:21 06:55 16:32 17:06 17:4445 05:37 06:12 06:43 16:44 17:15 17:5040 05:32 06:04 06:33 16:54 17:22 17:5435 05:28 05:58 06:24 17:03 17:29 17:5930 05:23 05:51 06:16 17:11 17:35 18:0420 05:14 05:40 06:03 17:24 17:47 18:1310 05:04 05:29 05:51 17:36 17:58 18:230 04:54 05:19 05:40 17:47 18:08 18:33-10 04:41 05:07 05:29 17:58 18:20 18:46-20 04:27 04:54 05:17 18:11 18:34 19:01-30 04:07 04:37 05:03 18:25 18:50 19:21-35 03:55 04:28 04:55 18:33 19:00 19:33-40 03:40 04:16 04:45 18:42 19:12 19:48-45 03:22 04:02 04:34 18:54 19:26 20:07-50 02:57 03:44 04:21 19:07 19:44 20:32-52 02:45 03:36 04:15 19:13 19:53 20:44-54 02:31 03:26 04:08 19:20 20:02 20:59-56 02:13 03:15 04:00 19:28 20:14 21:17-58 01:52 03:03 03:51 19:37 20:26 21:39-60 01:23 02:48 03:41 19:47 20:42 22:10

Moonrise MoonsetLat. Wed Thu Fri Wed Thu Fri72 05:08 07:40 11:15 15:19 14:38 13:0070 05:03 07:21 10:06 15:28 14:60 14:1168 04:58 07:06 09:30 15:36 15:17 14:4966 04:54 06:54 09:05 15:42 15:31 15:1664 04:51 06:44 08:45 15:47 15:42 15:3762 04:48 06:36 08:29 15:52 15:52 15:5460 04:46 06:28 08:16 15:56 16:01 16:0858 04:44 06:22 08:05 15:60 16:08 16:2056 04:42 06:17 07:55 16:03 16:15 16:3154 04:40 06:12 07:47 16:06 16:21 16:4052 04:39 06:07 07:39 16:08 16:26 16:4850 04:38 06:03 07:32 16:11 16:31 16:5645 04:35 05:55 07:18 16:16 16:42 17:1240 04:32 05:47 07:06 16:21 16:51 17:2635 04:30 05:41 06:56 16:24 16:58 17:3730 04:28 05:36 06:47 16:28 17:05 17:4720 04:25 05:27 06:32 16:34 17:17 18:0410 04:22 05:19 06:19 16:39 17:27 18:200 04:20 05:11 06:06 16:44 17:37 18:34-10 04:17 05:04 05:54 16:49 17:47 18:48-20 04:15 04:56 05:42 16:54 17:57 19:04-30 04:12 04:48 05:27 17:00 18:09 19:21-35 04:10 04:43 05:19 17:04 18:16 19:32-40 04:08 04:37 05:09 17:08 18:24 19:43-45 04:06 04:30 04:58 17:12 18:34 19:57-50 04:04 04:23 04:45 17:18 18:45 20:15-52 04:02 04:19 04:39 17:20 18:50 20:23-54 04:01 04:15 04:32 17:23 18:56 20:32-56 03:60 04:11 04:25 17:26 19:03 20:42-58 03:58 04:06 04:16 17:30 19:10 20:54-60 03:57 04:01 04:07 17:34 19:18 21:08

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower3 16:27 16:27 11:43 10:31 22:57 28(3%)4 16:27 16:26 11:43 11:24 23:51 29(0%)5 16:26 16:25 11:43 12:20 00:49 1(1%)

207

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November 06, 07 ,08 (Sat., Sun., Mon.)Aries Venus Mars Jupiter Saturn

Sat GHA GHA Dec GHA Dec GHA Dec GHA Dec0 45◦25.8 134◦50.4 -27◦14.4 193◦14.1 -12◦33.7 79◦47.9 -14◦55.2 95◦21.9 -19◦12.01 60◦28.2 149◦50.2 -27◦14.4 208◦15.0 -12◦34.3 94◦50.2 -14◦55.1 110◦24.3 -19◦12.02 75◦30.7 164◦50.1 -27◦14.4 223◦15.8 -12◦34.9 109◦52.5 -14◦55.1 125◦26.6 -19◦11.93 90◦33.2 179◦49.9 -27◦14.4 238◦16.6 -12◦35.5 124◦54.9 -14◦55.0 140◦29.0 -19◦11.94 105◦35.6 194◦49.7 -27◦14.4 253◦17.5 -12◦36.1 139◦57.2 -14◦55.0 155◦31.4 -19◦11.95 120◦38.1 209◦49.5 -27◦14.5 268◦18.3 -12◦36.7 154◦59.5 -14◦54.9 170◦33.7 -19◦11.86 135◦40.6 224◦49.3 -27◦14.5 283◦19.2 -12◦37.3 170◦01.8 -14◦54.9 185◦36.1 -19◦11.87 150◦43.0 239◦49.1 -27◦14.5 298◦20.0 -12◦37.8 185◦04.1 -14◦54.8 200◦38.4 -19◦11.88 165◦45.5 254◦48.9 -27◦14.5 313◦20.9 -12◦38.4 200◦06.4 -14◦54.7 215◦40.8 -19◦11.89 180◦47.9 269◦48.7 -27◦14.5 328◦21.7 -12◦39.0 215◦08.7 -14◦54.7 230◦43.1 -19◦11.710 195◦50.4 284◦48.6 -27◦14.5 343◦22.5 -12◦39.6 230◦11.1 -14◦54.6 245◦45.5 -19◦11.711 210◦52.9 299◦48.4 -27◦14.5 358◦23.4 -12◦40.2 245◦13.4 -14◦54.6 260◦47.8 -19◦11.712 225◦55.3 314◦48.2 -27◦14.5 13◦24.2 -12◦40.8 260◦15.7 -14◦54.5 275◦50.2 -19◦11.713 240◦57.8 329◦48.0 -27◦14.5 28◦25.1 -12◦41.4 275◦18.0 -14◦54.4 290◦52.5 -19◦11.614 256◦00.3 344◦47.8 -27◦14.5 43◦25.9 -12◦42.0 290◦20.3 -14◦54.4 305◦54.9 -19◦11.615 271◦02.7 359◦47.7 -27◦14.5 58◦26.7 -12◦42.5 305◦22.6 -14◦54.3 320◦57.2 -19◦11.616 286◦05.2 14◦47.5 -27◦14.5 73◦27.6 -12◦43.1 320◦24.9 -14◦54.3 335◦59.6 -19◦11.517 301◦07.7 29◦47.3 -27◦14.5 88◦28.4 -12◦43.7 335◦27.2 -14◦54.2 351◦01.9 -19◦11.518 316◦10.1 44◦47.1 -27◦14.5 103◦29.3 -12◦44.3 350◦29.5 -14◦54.2 6◦04.3 -19◦11.519 331◦12.6 59◦47.0 -27◦14.5 118◦30.1 -12◦44.9 5◦31.8 -14◦54.1 21◦06.6 -19◦11.520 346◦15.1 74◦46.8 -27◦14.5 133◦30.9 -12◦45.5 20◦34.2 -14◦54.0 36◦09.0 -19◦11.421 1◦17.5 89◦46.6 -27◦14.5 148◦31.8 -12◦46.1 35◦36.5 -14◦54.0 51◦11.4 -19◦11.422 16◦20.0 104◦46.4 -27◦14.5 163◦32.6 -12◦46.6 50◦38.8 -14◦53.9 66◦13.7 -19◦11.423 31◦22.4 119◦46.3 -27◦14.5 178◦33.5 -12◦47.2 65◦41.1 -14◦53.9 81◦16.1 -19◦11.3Mer.pass.:20:54 v-0.2 d-0.0 m-4.3 v0.8 d-0.6 m1.7 v2.3 d0.1 m-2.3 v2.4 d0.0 m0.6

Sun GHA GHA Dec GHA Dec GHA Dec GHA Dec0 46◦24.9 134◦46.1 -27◦14.5 193◦34.3 -12◦47.8 80◦43.4 -14◦53.8 96◦18.4 -19◦11.31 61◦27.4 149◦45.9 -27◦14.5 208◦35.1 -12◦48.4 95◦45.7 -14◦53.7 111◦20.8 -19◦11.32 76◦29.8 164◦45.8 -27◦14.5 223◦36.0 -12◦49.0 110◦48.0 -14◦53.7 126◦23.1 -19◦11.33 91◦32.3 179◦45.6 -27◦14.5 238◦36.8 -12◦49.6 125◦50.3 -14◦53.6 141◦25.5 -19◦11.24 106◦34.8 194◦45.4 -27◦14.4 253◦37.7 -12◦50.1 140◦52.6 -14◦53.6 156◦27.8 -19◦11.25 121◦37.2 209◦45.3 -27◦14.4 268◦38.5 -12◦50.7 155◦54.9 -14◦53.5 171◦30.2 -19◦11.26 136◦39.7 224◦45.1 -27◦14.4 283◦39.3 -12◦51.3 170◦57.2 -14◦53.5 186◦32.5 -19◦11.17 151◦42.2 239◦44.9 -27◦14.4 298◦40.2 -12◦51.9 185◦59.5 -14◦53.4 201◦34.9 -19◦11.18 166◦44.6 254◦44.8 -27◦14.4 313◦41.0 -12◦52.5 201◦01.8 -14◦53.3 216◦37.2 -19◦11.19 181◦47.1 269◦44.6 -27◦14.4 328◦41.8 -12◦53.1 216◦04.1 -14◦53.3 231◦39.6 -19◦11.110 196◦49.6 284◦44.5 -27◦14.4 343◦42.7 -12◦53.7 231◦06.4 -14◦53.2 246◦41.9 -19◦11.011 211◦52.0 299◦44.3 -27◦14.3 358◦43.5 -12◦54.2 246◦08.8 -14◦53.2 261◦44.3 -19◦11.012 226◦54.5 314◦44.1 -27◦14.3 13◦44.4 -12◦54.8 261◦11.1 -14◦53.1 276◦46.6 -19◦11.013 241◦56.9 329◦44.0 -27◦14.3 28◦45.2 -12◦55.4 276◦13.4 -14◦53.0 291◦48.9 -19◦10.914 256◦59.4 344◦43.8 -27◦14.3 43◦46.0 -12◦56.0 291◦15.7 -14◦53.0 306◦51.3 -19◦10.915 272◦01.9 359◦43.7 -27◦14.2 58◦46.9 -12◦56.6 306◦18.0 -14◦52.9 321◦53.6 -19◦10.916 287◦04.3 14◦43.5 -27◦14.2 73◦47.7 -12◦57.2 321◦20.3 -14◦52.9 336◦56.0 -19◦10.817 302◦06.8 29◦43.4 -27◦14.2 88◦48.5 -12◦57.7 336◦22.6 -14◦52.8 351◦58.3 -19◦10.818 317◦09.3 44◦43.2 -27◦14.2 103◦49.4 -12◦58.3 351◦24.9 -14◦52.7 7◦00.7 -19◦10.819 332◦11.7 59◦43.1 -27◦14.1 118◦50.2 -12◦58.9 6◦27.2 -14◦52.7 22◦03.0 -19◦10.820 347◦14.2 74◦42.9 -27◦14.1 133◦51.0 -12◦59.5 21◦29.5 -14◦52.6 37◦05.4 -19◦10.721 2◦16.7 89◦42.8 -27◦14.1 148◦51.9 -13◦00.1 36◦31.8 -14◦52.5 52◦07.7 -19◦10.722 17◦19.1 104◦42.6 -27◦14.1 163◦52.7 -13◦00.6 51◦34.1 -14◦52.5 67◦10.1 -19◦10.723 32◦21.6 119◦42.5 -27◦14.0 178◦53.6 -13◦01.2 66◦36.4 -14◦52.4 82◦12.4 -19◦10.6Mer.pass.:20:50 v-0.2 d0.0 m-4.3 v0.8 d-0.6 m1.7 v2.3 d0.1 m-2.3 v2.4 d0.0 m0.6

Mon GHA GHA Dec GHA Dec GHA Dec GHA Dec0 47◦24.1 134◦42.3 -27◦14.0 193◦54.4 -13◦01.8 81◦38.7 -14◦52.4 97◦14.8 -19◦10.61 62◦26.5 149◦42.2 -27◦14.0 208◦55.2 -13◦02.4 96◦41.0 -14◦52.3 112◦17.1 -19◦10.62 77◦29.0 164◦42.0 -27◦13.9 223◦56.1 -13◦03.0 111◦43.3 -14◦52.2 127◦19.5 -19◦10.53 92◦31.4 179◦41.9 -27◦13.9 238◦56.9 -13◦03.6 126◦45.6 -14◦52.2 142◦21.8 -19◦10.54 107◦33.9 194◦41.8 -27◦13.9 253◦57.7 -13◦04.1 141◦47.9 -14◦52.1 157◦24.2 -19◦10.55 122◦36.4 209◦41.6 -27◦13.8 268◦58.6 -13◦04.7 156◦50.2 -14◦52.1 172◦26.5 -19◦10.56 137◦38.8 224◦41.5 -27◦13.8 283◦59.4 -13◦05.3 171◦52.5 -14◦52.0 187◦28.8 -19◦10.47 152◦41.3 239◦41.3 -27◦13.8 299◦00.2 -13◦05.9 186◦54.8 -14◦51.9 202◦31.2 -19◦10.48 167◦43.8 254◦41.2 -27◦13.7 314◦01.1 -13◦06.5 201◦57.1 -14◦51.9 217◦33.5 -19◦10.49 182◦46.2 269◦41.1 -27◦13.7 329◦01.9 -13◦07.0 216◦59.4 -14◦51.8 232◦35.9 -19◦10.310 197◦48.7 284◦40.9 -27◦13.6 344◦02.7 -13◦07.6 232◦01.7 -14◦51.7 247◦38.2 -19◦10.311 212◦51.2 299◦40.8 -27◦13.6 359◦03.6 -13◦08.2 247◦04.0 -14◦51.7 262◦40.6 -19◦10.312 227◦53.6 314◦40.7 -27◦13.5 14◦04.4 -13◦08.8 262◦06.2 -14◦51.6 277◦42.9 -19◦10.213 242◦56.1 329◦40.5 -27◦13.5 29◦05.2 -13◦09.4 277◦08.5 -14◦51.6 292◦45.3 -19◦10.214 257◦58.6 344◦40.4 -27◦13.5 44◦06.1 -13◦09.9 292◦10.8 -14◦51.5 307◦47.6 -19◦10.215 273◦01.0 359◦40.3 -27◦13.4 59◦06.9 -13◦10.5 307◦13.1 -14◦51.4 322◦50.0 -19◦10.216 288◦03.5 14◦40.2 -27◦13.4 74◦07.7 -13◦11.1 322◦15.4 -14◦51.4 337◦52.3 -19◦10.117 303◦05.9 29◦40.0 -27◦13.3 89◦08.5 -13◦11.7 337◦17.7 -14◦51.3 352◦54.6 -19◦10.118 318◦08.4 44◦39.9 -27◦13.3 104◦09.4 -13◦12.2 352◦20.0 -14◦51.2 7◦57.0 -19◦10.119 333◦10.9 59◦39.8 -27◦13.2 119◦10.2 -13◦12.8 7◦22.3 -14◦51.2 22◦59.3 -19◦10.020 348◦13.3 74◦39.7 -27◦13.2 134◦11.0 -13◦13.4 22◦24.6 -14◦51.1 38◦01.7 -19◦10.021 3◦15.8 89◦39.5 -27◦13.1 149◦11.9 -13◦14.0 37◦26.9 -14◦51.0 53◦04.0 -19◦10.022 18◦18.3 104◦39.4 -27◦13.1 164◦12.7 -13◦14.6 52◦29.2 -14◦51.0 68◦06.4 -19◦09.923 33◦20.7 119◦39.3 -27◦13.0 179◦13.5 -13◦15.1 67◦31.5 -14◦50.9 83◦08.7 -19◦09.9Mer.pass.:20:46 v-0.1 d0.0 m-4.3 v0.8 d-0.6 m1.7 v2.3 d0.1 m-2.3 v2.3 d0.0 m0.6

StarsSHA Dec

Alpheratz 357◦37.2 29◦12.8Ankaa 353◦09.4 -42◦11.4

Schedar 349◦33.5 56◦39.5Diphda 348◦49.6 -17◦52.1

Achernar 335◦21.7 -57◦07.7Hamal 327◦53.8 23◦34.0Polaris 314◦46.4 89◦21.3Akamar 315◦13.4 -40◦13.1Menkar 314◦08.6 4◦10.5Mirfak 308◦31.5 49◦56.3

Aldebaran 290◦42.3 16◦33.2Rigel 281◦06.1 -8◦10.5

Capella 280◦25.4 46◦01.1Bellatrix 278◦25.4 6◦22.2Elnath 278◦04.9 28◦37.5Alnilam 275◦40.1 -1◦11.2

Betelgeuse 270◦54.7 7◦24.7Canopus 263◦53.2 -52◦42.2

Sirius 258◦28.3 -16◦44.4Adara 255◦07.7 -28◦59.9

Procyon 244◦53.4 5◦10.4Pollux 243◦20.3 27◦58.4Avior 234◦15.6 -59◦34.4Suhail 222◦48.2 -43◦30.9

Miaplacidus 221◦38.7 -69◦48.0Alphard 217◦50.3 -8◦45.0Regulus 207◦37.3 11◦51.7Dubhe 193◦44.6 61◦37.9

Denebola 182◦27.8 14◦27.1Gienah 175◦46.5 -17◦39.5Acrux 173◦03.5 -63◦12.9

Gacrux 171◦55.0 -57◦13.8Alioth 166◦15.9 55◦50.5Spica 158◦25.4 -11◦16.3Alcaid 152◦54.6 49◦12.3Hadar 148◦40.3 -60◦28.4

Menkent 148◦01.1 -36◦28.4Arcturus 145◦50.5 19◦04.6

Rigil Kent. 139◦44.5 -60◦55.3Zubenelg. 136◦59.3 -16◦07.7Kochab 137◦21.0 74◦04.0

Alphecca 126◦06.4 26◦38.7Antares 112◦19.4 -26◦28.7

Atria 107◦16.5 -69◦04.0Sabik 102◦06.1 -15◦45.0

Shaula 96◦14.3 -37◦07.1Rasalhague 96◦01.3 12◦32.8

Etamin 90◦43.8 51◦29.4Kaus Aust. 83◦36.2 -34◦22.5

Vega 80◦35.3 38◦48.4Nunki 75◦51.2 -26◦16.2Altair 62◦02.7 8◦55.6

Peacock 53◦10.0 -56◦40.1Deneb 49◦27.6 45◦21.7

Enif 33◦41.3 9◦58.6Alnair 27◦36.2 -46◦51.5

Fomalhaut 15◦17.3 -29◦30.5Scheat 13◦47.6 28◦12.2Markab 13◦32.4 15◦19.4

2021/11/ SHA Mer.passVenus 89◦24.7 15:01Mars 147◦48.3 11:06

Jupiter 34◦22.1 18:38Saturn 49◦56.2 17:36

2021/11/ SHA Mer.passVenus 88◦21.2 15:01Mars 147◦09.4 11:05

Jupiter 34◦18.5 18:34Saturn 49◦53.5 17:32

2021/11/ SHA Mer.passVenus 87◦18.3 15:01Mars 146◦30.3 11:04

Jupiter 34◦14.6 18:31Saturn 49◦50.7 17:28

Horizontal paralaxVenus: 0.2Mars: 0.1

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2021 November 06 to Nov. 08

h Sun MoonSat GHA Dec GHA ν Dec d HP0 184◦05.9 -15◦58.6 168◦07.9 5.1 -19◦49.6 -11.5 61.11 199◦05.9 -15◦59.3 182◦32.0 5.1 -20◦01.0 -11.3 61.12 214◦05.8 -16◦00.1 196◦56.1 5.0 -20◦12.3 -11.2 61.13 229◦05.8 -16◦00.8 211◦20.0 4.9 -20◦23.5 -11.1 61.14 244◦05.8 -16◦01.6 225◦43.8 4.8 -20◦34.4 -10.9 61.15 259◦05.8 -16◦02.3 240◦07.6 4.7 -20◦45.3 -10.8 61.16 274◦05.7 -16◦03.1 254◦31.2 4.6 -20◦56.0 -10.6 61.17 289◦05.7 -16◦03.8 268◦54.8 4.5 -21◦06.6 -10.5 61.18 304◦05.7 -16◦04.6 283◦18.3 4.5 -21◦17.0 -10.3 61.19 319◦05.7 -16◦05.3 297◦41.7 4.4 -21◦27.2 -10.2 61.110 334◦05.6 -16◦06.1 312◦05.1 4.3 -21◦37.3 -10.0 61.111 349◦05.6 -16◦06.8 326◦28.3 4.2 -21◦47.3 -9.9 61.112 4◦05.6 -16◦07.5 340◦51.5 4.1 -21◦57.1 -9.7 61.113 19◦05.5 -16◦08.3 355◦14.6 4.1 -22◦06.7 -9.6 61.014 34◦05.5 -16◦09.0 9◦37.6 4.0 -22◦16.2 -9.4 61.015 49◦05.5 -16◦09.8 24◦00.5 3.9 -22◦25.5 -9.2 61.016 64◦05.4 -16◦10.5 38◦23.4 3.8 -22◦34.6 -9.1 61.017 79◦05.4 -16◦11.3 52◦46.2 3.8 -22◦43.6 -8.9 61.018 94◦05.4 -16◦12.0 67◦08.9 3.7 -22◦52.4 -8.7 61.019 109◦05.3 -16◦12.7 81◦31.6 3.6 -23◦01.1 -8.6 61.020 124◦05.3 -16◦13.5 95◦54.2 3.6 -23◦09.5 -8.4 61.021 139◦05.3 -16◦14.2 110◦16.7 3.5 -23◦17.8 -8.2 61.022 154◦05.2 -16◦15.0 124◦39.2 3.4 -23◦26.0 -8.0 61.023 169◦05.2 -16◦15.7 139◦01.6 3.4 -23◦33.9 -7.9 60.9

SD.=16.1 d=-0.7 S.D.=16.7

Sun GHA Dec GHA ν Dec d HP0 184◦05.2 -16◦16.4 153◦23.9 3.3 -23◦41.7 -7.7 60.91 199◦05.1 -16◦17.2 167◦46.2 3.2 -23◦49.3 -7.5 60.92 214◦05.1 -16◦17.9 182◦08.4 3.2 -23◦56.8 -7.3 60.93 229◦05.1 -16◦18.6 196◦30.6 3.1 -24◦04.0 -7.2 60.94 244◦05.0 -16◦19.4 210◦52.7 3.1 -24◦11.1 -7.0 60.95 259◦05.0 -16◦20.1 225◦14.7 3.0 -24◦18.0 -6.8 60.96 274◦05.0 -16◦20.9 239◦36.7 3.0 -24◦24.7 -6.6 60.87 289◦04.9 -16◦21.6 253◦58.7 2.9 -24◦31.2 -6.4 60.88 304◦04.9 -16◦22.3 268◦20.6 2.9 -24◦37.5 -6.2 60.89 319◦04.9 -16◦23.1 282◦42.5 2.9 -24◦43.7 -6.1 60.810 334◦04.8 -16◦23.8 297◦04.3 2.8 -24◦49.7 -5.9 60.811 349◦04.8 -16◦24.5 311◦26.1 2.8 -24◦55.4 -5.7 60.812 4◦04.7 -16◦25.3 325◦47.9 2.7 -25◦01.0 -5.5 60.713 19◦04.7 -16◦26.0 340◦09.6 2.7 -25◦06.4 -5.3 60.714 34◦04.7 -16◦26.7 354◦31.3 2.7 -25◦11.7 -5.1 60.715 49◦04.6 -16◦27.5 8◦53.0 2.7 -25◦16.7 -4.9 60.716 64◦04.6 -16◦28.2 23◦14.7 2.6 -25◦21.5 -4.7 60.717 79◦04.5 -16◦28.9 37◦36.3 2.6 -25◦26.2 -4.6 60.618 94◦04.5 -16◦29.6 51◦57.9 2.6 -25◦30.6 -4.4 60.619 109◦04.5 -16◦30.4 66◦19.5 2.6 -25◦34.9 -4.2 60.620 124◦04.4 -16◦31.1 80◦41.1 2.6 -25◦39.0 -4.0 60.621 139◦04.4 -16◦31.8 95◦02.6 2.6 -25◦42.8 -3.8 60.622 154◦04.3 -16◦32.6 109◦24.2 2.5 -25◦46.5 -3.6 60.523 169◦04.3 -16◦33.3 123◦45.7 2.5 -25◦50.0 -3.4 60.5

SD.=16.1 d=-0.7 S.D.=16.6

Mon GHA Dec GHA ν Dec d HP0 184◦04.3 -16◦34.0 138◦07.2 2.5 -25◦53.3 -3.2 60.51 199◦04.2 -16◦34.7 152◦28.8 2.5 -25◦56.4 -3.0 60.52 214◦04.2 -16◦35.5 166◦50.3 2.5 -25◦59.3 -2.8 60.43 229◦04.1 -16◦36.2 181◦11.8 2.5 -26◦02.0 -2.6 60.44 244◦04.1 -16◦36.9 195◦33.4 2.5 -26◦04.5 -2.4 60.45 259◦04.0 -16◦37.6 209◦54.9 2.6 -26◦06.9 -2.2 60.46 274◦04.0 -16◦38.4 224◦16.5 2.6 -26◦09.0 -2.0 60.37 289◦03.9 -16◦39.1 238◦38.1 2.6 -26◦10.9 -1.8 60.38 304◦03.9 -16◦39.8 252◦59.7 2.6 -26◦12.7 -1.6 60.39 319◦03.9 -16◦40.5 267◦21.3 2.6 -26◦14.2 -1.5 60.310 334◦03.8 -16◦41.2 281◦42.9 2.6 -26◦15.6 -1.3 60.211 349◦03.8 -16◦42.0 296◦04.6 2.7 -26◦16.7 -1.1 60.212 4◦03.7 -16◦42.7 310◦26.2 2.7 -26◦17.7 -0.9 60.213 19◦03.7 -16◦43.4 324◦47.9 2.7 -26◦18.5 -0.7 60.214 34◦03.6 -16◦44.1 339◦09.7 2.8 -26◦19.1 -0.5 60.115 49◦03.6 -16◦44.9 353◦31.5 2.8 -26◦19.5 -0.3 60.116 64◦03.5 -16◦45.6 7◦53.3 2.8 -26◦19.7 -0.1 60.117 79◦03.5 -16◦46.3 22◦15.1 2.9 -26◦19.7 0.1 60.018 94◦03.4 -16◦47.0 36◦37.0 2.9 -26◦19.5 0.3 60.019 109◦03.4 -16◦47.7 50◦59.0 3.0 -26◦19.1 0.5 60.020 124◦03.3 -16◦48.4 65◦21.0 3.0 -26◦18.6 0.7 60.021 139◦03.3 -16◦49.2 79◦43.0 3.1 -26◦17.8 0.8 59.922 154◦03.2 -16◦49.9 94◦05.1 3.1 -26◦16.9 1.0 59.923 169◦03.2 -16◦50.6 108◦27.3 3.2 -26◦15.7 1.2 59.9

SD.=16.1 d=-0.7 S.D.=16.5

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 06:30 07:58 09:39 13:47 15:28 16:5570 06:23 07:41 09:03 14:23 15:45 17:0268 06:18 07:27 08:37 14:49 15:59 17:0866 06:13 07:16 08:18 15:09 16:10 17:1364 06:08 07:06 08:02 15:24 16:20 17:1862 06:04 06:58 07:49 15:37 16:28 17:2260 06:01 06:51 07:38 15:49 16:35 17:2658 05:58 06:45 07:28 15:58 16:42 17:2956 05:55 06:39 07:20 16:07 16:47 17:3254 05:52 06:34 07:13 16:14 16:52 17:3552 05:49 06:30 07:06 16:21 16:57 17:3850 05:47 06:25 06:60 16:27 17:01 17:4045 05:41 06:16 06:47 16:40 17:11 17:4640 05:35 06:08 06:36 16:51 17:19 17:5235 05:30 06:00 06:27 17:00 17:27 17:5730 05:25 05:54 06:19 17:08 17:33 18:0220 05:15 05:42 06:04 17:23 17:46 18:1210 05:05 05:30 05:52 17:35 17:57 18:220 04:54 05:19 05:40 17:47 18:09 18:34-10 04:41 05:06 05:28 17:59 18:21 18:47-20 04:25 04:52 05:15 18:12 18:35 19:03-30 04:05 04:35 05:01 18:27 18:53 19:23-35 03:52 04:25 04:52 18:36 19:03 19:36-40 03:36 04:12 04:42 18:46 19:16 19:52-45 03:16 03:58 04:30 18:58 19:31 20:12-50 02:51 03:39 04:16 19:12 19:50 20:39-52 02:37 03:30 04:09 19:19 19:59 20:52-54 02:22 03:20 04:02 19:27 20:09 21:08-56 02:03 03:08 03:54 19:35 20:21 21:27-58 01:39 02:54 03:44 19:45 20:35 21:52-60 01:04 02:38 03:34 19:56 20:52 22:30

Moonrise MoonsetLat. Sat Sun Mon Sat Sun Mon72 –:– –:– –:– –:– –:– –:–70 –:– –:– –:– –:– –:– –:–68 –:– –:– –:– –:– –:– –:–66 11:38 –:– –:– 14:48 –:– –:–64 10:57 13:24 –:– 15:29 15:15 –:–62 10:29 12:28 14:02 15:58 16:12 16:5260 10:08 11:55 13:20 16:20 16:45 17:3458 09:50 11:30 12:52 16:38 17:09 18:0256 09:36 11:11 12:30 16:54 17:29 18:2454 09:23 10:55 12:12 17:07 17:46 18:4252 09:12 10:41 11:57 17:18 18:00 18:5750 09:02 10:28 11:43 17:29 18:13 19:1145 08:42 10:03 11:16 17:50 18:38 19:3840 08:25 09:43 10:54 18:08 18:59 19:6035 08:12 09:27 10:37 18:22 19:16 20:1730 07:60 09:12 10:21 18:35 19:31 20:3320 07:39 08:48 09:55 18:57 19:56 20:5910 07:22 08:27 09:33 19:17 20:18 21:210 07:05 08:08 09:12 19:35 20:38 21:42-10 06:49 07:48 08:51 19:53 20:58 22:03-20 06:32 07:28 08:29 20:12 21:20 22:25-30 06:12 07:04 08:03 20:34 21:46 22:51-35 06:01 06:50 07:48 20:48 22:01 23:06-40 05:48 06:34 07:30 21:03 22:18 23:24-45 05:32 06:15 07:09 21:21 22:39 23:45-50 05:14 05:52 06:43 21:44 23:05 –:–-52 05:05 05:40 06:30 21:54 23:17 –:–-54 04:55 05:28 06:15 22:07 23:32 –:–-56 04:44 05:13 05:58 22:21 23:49 –:–-58 04:32 04:56 05:37 22:38 –:– 00:10-60 04:17 04:35 05:11 22:58 –:– 00:36

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower6 16:24 16:22 11:43 13:19 00:49 2(4%)7 16:21 16:19 11:43 14:22 01:51 3(10%)8 16:17 16:15 11:43 15:27 02:55 4(18%)

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November 09, 10 ,11 (Tue., Wed., Thu.)Aries Venus Mars Jupiter Saturn

Tue GHA GHA Dec GHA Dec GHA Dec GHA Dec0 48◦23.2 134◦39.2 -27◦13.0 194◦14.4 -13◦15.7 82◦33.8 -14◦50.9 98◦11.0 -19◦09.91 63◦25.7 149◦39.1 -27◦12.9 209◦15.2 -13◦16.3 97◦36.1 -14◦50.8 113◦13.4 -19◦09.92 78◦28.1 164◦39.0 -27◦12.8 224◦16.0 -13◦16.9 112◦38.4 -14◦50.7 128◦15.7 -19◦09.83 93◦30.6 179◦38.8 -27◦12.8 239◦16.9 -13◦17.5 127◦40.7 -14◦50.7 143◦18.1 -19◦09.84 108◦33.1 194◦38.7 -27◦12.7 254◦17.7 -13◦18.0 142◦42.9 -14◦50.6 158◦20.4 -19◦09.85 123◦35.5 209◦38.6 -27◦12.7 269◦18.5 -13◦18.6 157◦45.2 -14◦50.5 173◦22.8 -19◦09.76 138◦38.0 224◦38.5 -27◦12.6 284◦19.3 -13◦19.2 172◦47.5 -14◦50.5 188◦25.1 -19◦09.77 153◦40.4 239◦38.4 -27◦12.5 299◦20.2 -13◦19.8 187◦49.8 -14◦50.4 203◦27.4 -19◦09.78 168◦42.9 254◦38.3 -27◦12.5 314◦21.0 -13◦20.3 202◦52.1 -14◦50.3 218◦29.8 -19◦09.69 183◦45.4 269◦38.2 -27◦12.4 329◦21.8 -13◦20.9 217◦54.4 -14◦50.3 233◦32.1 -19◦09.610 198◦47.8 284◦38.1 -27◦12.3 344◦22.7 -13◦21.5 232◦56.7 -14◦50.2 248◦34.5 -19◦09.611 213◦50.3 299◦38.0 -27◦12.3 359◦23.5 -13◦22.1 247◦59.0 -14◦50.1 263◦36.8 -19◦09.512 228◦52.8 314◦37.9 -27◦12.2 14◦24.3 -13◦22.6 263◦01.3 -14◦50.1 278◦39.1 -19◦09.513 243◦55.2 329◦37.8 -27◦12.1 29◦25.1 -13◦23.2 278◦03.5 -14◦50.0 293◦41.5 -19◦09.514 258◦57.7 344◦37.6 -27◦12.1 44◦26.0 -13◦23.8 293◦05.8 -14◦49.9 308◦43.8 -19◦09.415 274◦00.2 359◦37.5 -27◦12.0 59◦26.8 -13◦24.4 308◦08.1 -14◦49.9 323◦46.2 -19◦09.416 289◦02.6 14◦37.4 -27◦11.9 74◦27.6 -13◦24.9 323◦10.4 -14◦49.8 338◦48.5 -19◦09.417 304◦05.1 29◦37.3 -27◦11.9 89◦28.4 -13◦25.5 338◦12.7 -14◦49.7 353◦50.8 -19◦09.418 319◦07.5 44◦37.3 -27◦11.8 104◦29.3 -13◦26.1 353◦15.0 -14◦49.7 8◦53.2 -19◦09.319 334◦10.0 59◦37.2 -27◦11.7 119◦30.1 -13◦26.7 8◦17.3 -14◦49.6 23◦55.5 -19◦09.320 349◦12.5 74◦37.1 -27◦11.6 134◦30.9 -13◦27.2 23◦19.6 -14◦49.5 38◦57.9 -19◦09.321 4◦14.9 89◦37.0 -27◦11.6 149◦31.8 -13◦27.8 38◦21.8 -14◦49.5 54◦00.2 -19◦09.222 19◦17.4 104◦36.9 -27◦11.5 164◦32.6 -13◦28.4 53◦24.1 -14◦49.4 69◦02.5 -19◦09.223 34◦19.9 119◦36.8 -27◦11.4 179◦33.4 -13◦29.0 68◦26.4 -14◦49.3 84◦04.9 -19◦09.2Mer.pass.:20:43 v-0.1 d0.1 m-4.3 v0.8 d-0.6 m1.7 v2.3 d0.1 m-2.3 v2.3 d0.0 m0.7

Wed GHA GHA Dec GHA Dec GHA Dec GHA Dec0 49◦22.3 134◦36.7 -27◦11.3 194◦34.2 -13◦29.5 83◦28.7 -14◦49.3 99◦07.2 -19◦09.11 64◦24.8 149◦36.6 -27◦11.3 209◦35.1 -13◦30.1 98◦31.0 -14◦49.2 114◦09.6 -19◦09.12 79◦27.3 164◦36.5 -27◦11.2 224◦35.9 -13◦30.7 113◦33.3 -14◦49.1 129◦11.9 -19◦09.13 94◦29.7 179◦36.4 -27◦11.1 239◦36.7 -13◦31.3 128◦35.5 -14◦49.1 144◦14.2 -19◦09.04 109◦32.2 194◦36.3 -27◦11.0 254◦37.5 -13◦31.8 143◦37.8 -14◦49.0 159◦16.6 -19◦09.05 124◦34.7 209◦36.3 -27◦10.9 269◦38.4 -13◦32.4 158◦40.1 -14◦48.9 174◦18.9 -19◦09.06 139◦37.1 224◦36.2 -27◦10.9 284◦39.2 -13◦33.0 173◦42.4 -14◦48.9 189◦21.3 -19◦08.97 154◦39.6 239◦36.1 -27◦10.8 299◦40.0 -13◦33.6 188◦44.7 -14◦48.8 204◦23.6 -19◦08.98 169◦42.0 254◦36.0 -27◦10.7 314◦40.8 -13◦34.1 203◦47.0 -14◦48.7 219◦25.9 -19◦08.99 184◦44.5 269◦35.9 -27◦10.6 329◦41.7 -13◦34.7 218◦49.2 -14◦48.7 234◦28.3 -19◦08.810 199◦47.0 284◦35.9 -27◦10.5 344◦42.5 -13◦35.3 233◦51.5 -14◦48.6 249◦30.6 -19◦08.811 214◦49.4 299◦35.8 -27◦10.4 359◦43.3 -13◦35.8 248◦53.8 -14◦48.5 264◦32.9 -19◦08.812 229◦51.9 314◦35.7 -27◦10.3 14◦44.1 -13◦36.4 263◦56.1 -14◦48.5 279◦35.3 -19◦08.813 244◦54.4 329◦35.6 -27◦10.2 29◦44.9 -13◦37.0 278◦58.4 -14◦48.4 294◦37.6 -19◦08.714 259◦56.8 344◦35.6 -27◦10.1 44◦45.8 -13◦37.6 294◦00.6 -14◦48.3 309◦39.9 -19◦08.715 274◦59.3 359◦35.5 -27◦10.1 59◦46.6 -13◦38.1 309◦02.9 -14◦48.3 324◦42.3 -19◦08.716 290◦01.8 14◦35.4 -27◦10.0 74◦47.4 -13◦38.7 324◦05.2 -14◦48.2 339◦44.6 -19◦08.617 305◦04.2 29◦35.3 -27◦09.9 89◦48.2 -13◦39.3 339◦07.5 -14◦48.1 354◦47.0 -19◦08.618 320◦06.7 44◦35.3 -27◦09.8 104◦49.1 -13◦39.8 354◦09.8 -14◦48.1 9◦49.3 -19◦08.619 335◦09.2 59◦35.2 -27◦09.7 119◦49.9 -13◦40.4 9◦12.0 -14◦48.0 24◦51.6 -19◦08.520 350◦11.6 74◦35.1 -27◦09.6 134◦50.7 -13◦41.0 24◦14.3 -14◦47.9 39◦54.0 -19◦08.521 5◦14.1 89◦35.1 -27◦09.5 149◦51.5 -13◦41.6 39◦16.6 -14◦47.9 54◦56.3 -19◦08.522 20◦16.5 104◦35.0 -27◦09.4 164◦52.3 -13◦42.1 54◦18.9 -14◦47.8 69◦58.6 -19◦08.423 35◦19.0 119◦34.9 -27◦09.3 179◦53.2 -13◦42.7 69◦21.2 -14◦47.7 85◦01.0 -19◦08.4Mer.pass.:20:39 v-0.1 d0.1 m-4.4 v0.8 d-0.6 m1.7 v2.3 d0.1 m-2.3 v2.3 d0.0 m0.7

Thu GHA GHA Dec GHA Dec GHA Dec GHA Dec0 50◦21.5 134◦34.9 -27◦09.2 194◦54.0 -13◦43.3 84◦23.4 -14◦47.7 100◦03.3 -19◦08.41 65◦23.9 149◦34.8 -27◦09.1 209◦54.8 -13◦43.8 99◦25.7 -14◦47.6 115◦05.6 -19◦08.32 80◦26.4 164◦34.8 -27◦09.0 224◦55.6 -13◦44.4 114◦28.0 -14◦47.5 130◦08.0 -19◦08.33 95◦28.9 179◦34.7 -27◦08.9 239◦56.4 -13◦45.0 129◦30.3 -14◦47.4 145◦10.3 -19◦08.34 110◦31.3 194◦34.7 -27◦08.8 254◦57.3 -13◦45.5 144◦32.5 -14◦47.4 160◦12.6 -19◦08.25 125◦33.8 209◦34.6 -27◦08.7 269◦58.1 -13◦46.1 159◦34.8 -14◦47.3 175◦15.0 -19◦08.26 140◦36.3 224◦34.6 -27◦08.6 284◦58.9 -13◦46.7 174◦37.1 -14◦47.2 190◦17.3 -19◦08.27 155◦38.7 239◦34.5 -27◦08.4 299◦59.7 -13◦47.3 189◦39.4 -14◦47.2 205◦19.6 -19◦08.18 170◦41.2 254◦34.4 -27◦08.3 315◦00.5 -13◦47.8 204◦41.6 -14◦47.1 220◦22.0 -19◦08.19 185◦43.7 269◦34.4 -27◦08.2 330◦01.4 -13◦48.4 219◦43.9 -14◦47.0 235◦24.3 -19◦08.110 200◦46.1 284◦34.4 -27◦08.1 345◦02.2 -13◦49.0 234◦46.2 -14◦47.0 250◦26.6 -19◦08.011 215◦48.6 299◦34.3 -27◦08.0 0◦03.0 -13◦49.5 249◦48.5 -14◦46.9 265◦29.0 -19◦08.012 230◦51.0 314◦34.3 -27◦07.9 15◦03.8 -13◦50.1 264◦50.7 -14◦46.8 280◦31.3 -19◦08.013 245◦53.5 329◦34.2 -27◦07.8 30◦04.6 -13◦50.7 279◦53.0 -14◦46.7 295◦33.6 -19◦07.914 260◦56.0 344◦34.2 -27◦07.7 45◦05.5 -13◦51.2 294◦55.3 -14◦46.7 310◦36.0 -19◦07.915 275◦58.4 359◦34.1 -27◦07.5 60◦06.3 -13◦51.8 309◦57.6 -14◦46.6 325◦38.3 -19◦07.916 291◦00.9 14◦34.1 -27◦07.4 75◦07.1 -13◦52.4 324◦59.8 -14◦46.5 340◦40.6 -19◦07.817 306◦03.4 29◦34.1 -27◦07.3 90◦07.9 -13◦52.9 340◦02.1 -14◦46.5 355◦43.0 -19◦07.818 321◦05.8 44◦34.0 -27◦07.2 105◦08.7 -13◦53.5 355◦04.4 -14◦46.4 10◦45.3 -19◦07.819 336◦08.3 59◦34.0 -27◦07.1 120◦09.5 -13◦54.1 10◦06.6 -14◦46.3 25◦47.6 -19◦07.720 351◦10.8 74◦33.9 -27◦07.0 135◦10.4 -13◦54.6 25◦08.9 -14◦46.2 40◦50.0 -19◦07.721 6◦13.2 89◦33.9 -27◦06.8 150◦11.2 -13◦55.2 40◦11.2 -14◦46.2 55◦52.3 -19◦07.722 21◦15.7 104◦33.9 -27◦06.7 165◦12.0 -13◦55.8 55◦13.5 -14◦46.1 70◦54.6 -19◦07.623 36◦18.2 119◦33.8 -27◦06.6 180◦12.8 -13◦56.3 70◦15.7 -14◦46.0 85◦57.0 -19◦07.6Mer.pass.:20:35 v-0.1 d0.1 m-4.4 v0.8 d-0.6 m1.7 v2.3 d0.1 m-2.3 v2.3 d0.0 m0.7

StarsSHA Dec

Alpheratz 357◦37.2 29◦12.8Ankaa 353◦09.4 -42◦11.4

Schedar 349◦33.5 56◦39.6Diphda 348◦49.6 -17◦52.1

Achernar 335◦21.7 -57◦07.7Hamal 327◦53.8 23◦34.0Polaris 314◦46.0 89◦21.3Akamar 315◦13.4 -40◦13.1Menkar 314◦08.6 4◦10.5Mirfak 308◦31.5 49◦56.3

Aldebaran 290◦42.3 16◦33.2Rigel 281◦06.1 -8◦10.5

Capella 280◦25.3 46◦01.1Bellatrix 278◦25.4 6◦22.2Elnath 278◦04.9 28◦37.5Alnilam 275◦40.1 -1◦11.2

Betelgeuse 270◦54.7 7◦24.7Canopus 263◦53.2 -52◦42.2

Sirius 258◦28.2 -16◦44.4Adara 255◦07.7 -28◦59.9

Procyon 244◦53.3 5◦10.4Pollux 243◦20.3 27◦58.4Avior 234◦15.6 -59◦34.4Suhail 222◦48.2 -43◦30.9

Miaplacidus 221◦38.7 -69◦48.0Alphard 217◦50.3 -8◦45.0Regulus 207◦37.3 11◦51.7Dubhe 193◦44.6 61◦37.9

Denebola 182◦27.8 14◦27.1Gienah 175◦46.5 -17◦39.5Acrux 173◦03.5 -63◦12.9

Gacrux 171◦54.9 -57◦13.8Alioth 166◦15.8 55◦50.5Spica 158◦25.3 -11◦16.3Alcaid 152◦54.6 49◦12.3Hadar 148◦40.3 -60◦28.4

Menkent 148◦01.1 -36◦28.4Arcturus 145◦50.5 19◦04.6

Rigil Kent. 139◦44.5 -60◦55.3Zubenelg. 136◦59.3 -16◦07.8Kochab 137◦21.0 74◦04.0

Alphecca 126◦06.4 26◦38.6Antares 112◦19.4 -26◦28.7

Atria 107◦16.5 -69◦04.0Sabik 102◦06.1 -15◦45.0

Shaula 96◦14.3 -37◦07.1Rasalhague 96◦01.3 12◦32.8

Etamin 90◦43.8 51◦29.4Kaus Aust. 83◦36.2 -34◦22.5

Vega 80◦35.3 38◦48.4Nunki 75◦51.2 -26◦16.2Altair 62◦02.7 8◦55.6

Peacock 53◦10.0 -56◦40.1Deneb 49◦27.6 45◦21.7

Enif 33◦41.3 9◦58.6Alnair 27◦36.2 -46◦51.5

Fomalhaut 15◦17.3 -29◦30.5Scheat 13◦47.6 28◦12.2Markab 13◦32.4 15◦19.4

2021/11/ SHA Mer.passVenus 86◦16.0 15:01Mars 145◦51.2 11:02

Jupiter 34◦10.6 18:27Saturn 49◦47.9 17:25

2021/11/ SHA Mer.passVenus 85◦14.4 15:02Mars 145◦11.9 11:01

Jupiter 34◦06.4 18:23Saturn 49◦44.9 17:21

2021/11/ SHA Mer.passVenus 84◦13.4 15:02Mars 144◦32.5 10:60

Jupiter 34◦02.0 18:20Saturn 49◦41.8 17:17

Horizontal paralaxVenus: 0.3Mars: 0.1

210

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2021 November 09 to Nov. 11

h Sun MoonTue GHA Dec GHA ν Dec d HP0 184◦03.1 -16◦51.3 122◦49.5 3.2 -26◦14.4 1.4 59.81 199◦03.1 -16◦52.0 137◦11.7 3.3 -26◦12.9 1.6 59.82 214◦03.0 -16◦52.7 151◦34.0 3.4 -26◦11.3 1.8 59.83 229◦03.0 -16◦53.4 165◦56.4 3.4 -26◦09.4 2.0 59.74 244◦02.9 -16◦54.2 180◦18.9 3.5 -26◦07.4 2.1 59.75 259◦02.9 -16◦54.9 194◦41.4 3.6 -26◦05.1 2.3 59.76 274◦02.8 -16◦55.6 209◦04.0 3.6 -26◦02.7 2.5 59.77 289◦02.8 -16◦56.3 223◦26.7 3.7 -26◦00.1 2.7 59.68 304◦02.7 -16◦57.0 237◦49.4 3.8 -25◦57.4 2.9 59.69 319◦02.6 -16◦57.7 252◦12.2 3.9 -25◦54.4 3.0 59.610 334◦02.6 -16◦58.4 266◦35.1 3.9 -25◦51.3 3.2 59.511 349◦02.5 -16◦59.1 280◦58.1 4.0 -25◦48.0 3.4 59.512 4◦02.5 -16◦59.8 295◦21.2 4.1 -25◦44.6 3.6 59.513 19◦02.4 -17◦00.5 309◦44.3 4.2 -25◦40.9 3.7 59.414 34◦02.4 -17◦01.3 324◦07.5 4.3 -25◦37.1 3.9 59.415 49◦02.3 -17◦02.0 338◦30.8 4.4 -25◦33.1 4.1 59.416 64◦02.3 -17◦02.7 352◦54.3 4.5 -25◦29.0 4.2 59.317 79◦02.2 -17◦03.4 7◦17.8 4.5 -25◦24.7 4.4 59.318 94◦02.1 -17◦04.1 21◦41.3 4.6 -25◦20.2 4.6 59.319 109◦02.1 -17◦04.8 36◦05.0 4.7 -25◦15.6 4.7 59.220 124◦02.0 -17◦05.5 50◦28.8 4.8 -25◦10.8 4.9 59.221 139◦02.0 -17◦06.2 64◦52.7 4.9 -25◦05.8 5.0 59.222 154◦01.9 -17◦06.9 79◦16.7 5.0 -25◦00.7 5.2 59.123 169◦01.8 -17◦07.6 93◦40.7 5.1 -24◦55.4 5.4 59.1

SD.=16.1 d=-0.7 S.D.=16.3

Wed GHA Dec GHA ν Dec d HP0 184◦01.8 -17◦08.3 108◦04.9 5.2 -24◦49.9 5.5 59.11 199◦01.7 -17◦09.0 122◦29.2 5.3 -24◦44.3 5.7 59.02 214◦01.7 -17◦09.7 136◦53.6 5.4 -24◦38.6 5.8 59.03 229◦01.6 -17◦10.4 151◦18.0 5.5 -24◦32.7 6.0 59.04 244◦01.5 -17◦11.1 165◦42.6 5.6 -24◦26.6 6.1 58.95 259◦01.5 -17◦11.8 180◦07.3 5.7 -24◦20.4 6.3 58.96 274◦01.4 -17◦12.5 194◦32.1 5.9 -24◦14.1 6.4 58.97 289◦01.4 -17◦13.2 208◦57.0 6.0 -24◦07.6 6.6 58.88 304◦01.3 -17◦13.9 223◦22.0 6.1 -24◦00.9 6.7 58.89 319◦01.2 -17◦14.6 237◦47.2 6.2 -23◦54.1 6.9 58.810 334◦01.2 -17◦15.3 252◦12.4 6.3 -23◦47.2 7.0 58.711 349◦01.1 -17◦16.0 266◦37.8 6.4 -23◦40.1 7.1 58.712 4◦01.0 -17◦16.7 281◦03.2 6.5 -23◦32.9 7.3 58.713 19◦01.0 -17◦17.4 295◦28.8 6.6 -23◦25.6 7.4 58.614 34◦00.9 -17◦18.1 309◦54.5 6.7 -23◦18.1 7.5 58.615 49◦00.8 -17◦18.8 324◦20.3 6.9 -23◦10.5 7.7 58.616 64◦00.8 -17◦19.5 338◦46.2 7.0 -23◦02.8 7.8 58.517 79◦00.7 -17◦20.2 353◦12.2 7.1 -22◦54.9 7.9 58.518 94◦00.6 -17◦20.9 7◦38.4 7.2 -22◦46.9 8.1 58.519 109◦00.6 -17◦21.6 22◦04.6 7.3 -22◦38.8 8.2 58.420 124◦00.5 -17◦22.3 36◦31.0 7.4 -22◦30.5 8.3 58.421 139◦00.4 -17◦22.9 50◦57.5 7.5 -22◦22.1 8.4 58.422 154◦00.4 -17◦23.6 65◦24.1 7.7 -22◦13.6 8.6 58.323 169◦00.3 -17◦24.3 79◦50.8 7.8 -22◦05.0 8.7 58.3

SD.=16.1 d=-0.7 S.D.=16.1

Thu GHA Dec GHA ν Dec d HP0 184◦00.2 -17◦25.0 94◦17.6 7.9 -21◦56.3 8.8 58.31 199◦00.2 -17◦25.7 108◦44.6 8.0 -21◦47.4 8.9 58.22 214◦00.1 -17◦26.4 123◦11.6 8.1 -21◦38.4 9.0 58.23 229◦00.0 -17◦27.1 137◦38.8 8.2 -21◦29.3 9.1 58.24 243◦60.0 -17◦27.8 152◦06.1 8.3 -21◦20.1 9.3 58.15 258◦59.9 -17◦28.5 166◦33.5 8.5 -21◦10.8 9.4 58.16 273◦59.8 -17◦29.1 181◦01.0 8.6 -21◦01.4 9.5 58.17 288◦59.8 -17◦29.8 195◦28.7 8.7 -20◦51.9 9.6 58.08 303◦59.7 -17◦30.5 209◦56.4 8.8 -20◦42.3 9.7 58.09 318◦59.6 -17◦31.2 224◦24.3 8.9 -20◦32.5 9.8 58.010 333◦59.5 -17◦31.9 238◦52.3 9.0 -20◦22.7 9.9 57.911 348◦59.5 -17◦32.6 253◦20.4 9.1 -20◦12.7 10.0 57.912 3◦59.4 -17◦33.3 267◦48.6 9.3 -20◦02.7 10.1 57.913 18◦59.3 -17◦33.9 282◦16.9 9.4 -19◦52.6 10.2 57.814 33◦59.2 -17◦34.6 296◦45.3 9.5 -19◦42.3 10.3 57.815 48◦59.2 -17◦35.3 311◦13.8 9.6 -19◦32.0 10.4 57.816 63◦59.1 -17◦36.0 325◦42.5 9.7 -19◦21.6 10.5 57.717 78◦59.0 -17◦36.7 340◦11.3 9.8 -19◦11.1 10.6 57.718 93◦58.9 -17◦37.4 354◦40.1 9.9 -19◦00.4 10.6 57.719 108◦58.9 -17◦38.0 9◦09.1 10.0 -18◦49.8 10.7 57.620 123◦58.8 -17◦38.7 23◦38.2 10.1 -18◦39.0 10.8 57.621 138◦58.7 -17◦39.4 38◦07.4 10.3 -18◦28.1 10.9 57.622 153◦58.6 -17◦40.1 52◦36.7 10.4 -18◦17.2 11.0 57.523 168◦58.6 -17◦40.7 67◦06.1 10.5 -18◦06.1 11.1 57.5

SD.=16.2 d=-0.7 S.D.=15.9

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 06:42 08:12 10:04 13:22 15:15 16:4570 06:34 07:53 09:20 14:07 15:34 16:5368 06:27 07:37 08:51 14:36 15:49 16:6066 06:21 07:25 08:29 14:58 16:02 17:0664 06:16 07:15 08:12 15:15 16:12 17:1162 06:11 07:06 07:58 15:29 16:21 17:1660 06:07 06:58 07:46 15:41 16:29 17:2058 06:03 06:51 07:35 15:52 16:36 17:2456 05:60 06:45 07:26 16:01 16:42 17:2754 05:57 06:40 07:18 16:09 16:48 17:3052 05:54 06:34 07:11 16:16 16:53 17:3350 05:51 06:30 07:05 16:22 16:57 17:3645 05:44 06:20 06:51 16:36 17:08 17:4340 05:38 06:11 06:39 16:48 17:17 17:4935 05:33 06:03 06:30 16:58 17:24 17:5530 05:27 05:56 06:21 17:07 17:32 18:0020 05:17 05:43 06:06 17:22 17:45 18:1110 05:06 05:31 05:53 17:35 17:57 18:220 04:54 05:19 05:40 17:47 18:09 18:34-10 04:40 05:06 05:28 18:00 18:22 18:48-20 04:23 04:51 05:14 18:14 18:37 19:05-30 04:02 04:33 04:59 18:30 18:55 19:26-35 03:49 04:22 04:49 18:39 19:07 19:40-40 03:32 04:09 04:39 18:50 19:20 19:57-45 03:12 03:53 04:27 19:02 19:35 20:17-50 02:44 03:34 04:12 19:17 19:56 20:46-52 02:30 03:24 04:04 19:25 20:05 20:60-54 02:13 03:13 03:57 19:33 20:16 21:17-56 01:52 03:01 03:48 19:42 20:29 21:39-58 01:25 02:46 03:38 19:52 20:44 22:07-60 00:41 02:28 03:26 20:04 21:02 22:57

Moonrise MoonsetLat. Tue Wed Thu Tue Wed Thu72 –:– –:– –:– –:– –:– –:–70 –:– –:– 17:15 –:– –:– 19:4768 –:– –:– 16:21 –:– –:– 20:4066 –:– 16:21 15:48 –:– 18:48 21:1264 15:47 15:31 15:23 17:18 19:37 21:3662 14:45 14:59 15:04 18:20 20:08 21:5460 14:11 14:36 14:48 18:54 20:31 22:0958 13:46 14:17 14:34 19:19 20:49 22:2256 13:25 14:01 14:23 19:39 21:05 22:3354 13:09 13:47 14:12 19:55 21:18 22:4352 12:54 13:35 14:03 20:09 21:29 22:5150 12:42 13:24 13:55 20:22 21:40 22:5945 12:16 13:02 13:37 20:47 22:01 23:1540 11:55 12:44 13:23 21:07 22:18 23:2835 11:38 12:29 13:11 21:24 22:33 23:4030 11:23 12:15 12:60 21:39 22:45 23:5020 10:57 11:53 12:41 22:03 23:06 –:–10 10:35 11:33 12:25 22:24 23:25 –:–0 10:15 11:15 12:10 22:44 23:42 –:–-10 09:55 10:56 11:54 23:04 23:58 –:–-20 09:33 10:36 11:38 23:24 –:– 00:16-30 09:07 10:14 11:19 23:48 –:– 00:37-35 08:52 10:00 11:08 –:– 00:03 00:49-40 08:35 09:45 10:55 –:– 00:19 01:03-45 08:14 09:26 10:40 –:– 00:38 01:19-50 07:48 09:03 10:22 00:12 01:02 01:39-52 07:35 08:51 10:13 00:25 01:14 01:48-54 07:20 08:39 10:03 00:40 01:27 01:58-56 07:03 08:24 09:52 00:57 01:42 02:10-58 06:42 08:07 09:39 01:18 01:60 02:24-60 06:16 07:46 09:23 01:44 02:21 02:40

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower9 16:13 16:10 11:43 16:29 03:58 5(28%)10 16:07 16:04 11:43 17:28 04:59 6(39%)11 16:01 15:58 11:44 18:22 05:55 7(50%)

211

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November 12, 13 ,14 (Fri., Sat., Sun.)Aries Venus Mars Jupiter Saturn

Fri GHA GHA Dec GHA Dec GHA Dec GHA Dec0 51◦20.6 134◦33.8 -27◦06.5 195◦13.6 -13◦56.9 85◦18.0 -14◦46.0 100◦59.3 -19◦07.61 66◦23.1 149◦33.8 -27◦06.3 210◦14.4 -13◦57.5 100◦20.3 -14◦45.9 116◦01.6 -19◦07.52 81◦25.5 164◦33.8 -27◦06.2 225◦15.3 -13◦58.0 115◦22.5 -14◦45.8 131◦04.0 -19◦07.53 96◦28.0 179◦33.7 -27◦06.1 240◦16.1 -13◦58.6 130◦24.8 -14◦45.7 146◦06.3 -19◦07.54 111◦30.5 194◦33.7 -27◦06.0 255◦16.9 -13◦59.2 145◦27.1 -14◦45.7 161◦08.6 -19◦07.45 126◦32.9 209◦33.7 -27◦05.8 270◦17.7 -13◦59.7 160◦29.3 -14◦45.6 176◦11.0 -19◦07.46 141◦35.4 224◦33.7 -27◦05.7 285◦18.5 -14◦00.3 175◦31.6 -14◦45.5 191◦13.3 -19◦07.47 156◦37.9 239◦33.6 -27◦05.6 300◦19.3 -14◦00.9 190◦33.9 -14◦45.5 206◦15.6 -19◦07.38 171◦40.3 254◦33.6 -27◦05.4 315◦20.2 -14◦01.4 205◦36.1 -14◦45.4 221◦17.9 -19◦07.39 186◦42.8 269◦33.6 -27◦05.3 330◦21.0 -14◦02.0 220◦38.4 -14◦45.3 236◦20.3 -19◦07.310 201◦45.3 284◦33.6 -27◦05.2 345◦21.8 -14◦02.6 235◦40.7 -14◦45.2 251◦22.6 -19◦07.211 216◦47.7 299◦33.6 -27◦05.0 0◦22.6 -14◦03.1 250◦43.0 -14◦45.2 266◦24.9 -19◦07.212 231◦50.2 314◦33.6 -27◦04.9 15◦23.4 -14◦03.7 265◦45.2 -14◦45.1 281◦27.3 -19◦07.213 246◦52.6 329◦33.6 -27◦04.8 30◦24.2 -14◦04.3 280◦47.5 -14◦45.0 296◦29.6 -19◦07.114 261◦55.1 344◦33.5 -27◦04.6 45◦25.0 -14◦04.8 295◦49.7 -14◦44.9 311◦31.9 -19◦07.115 276◦57.6 359◦33.5 -27◦04.5 60◦25.9 -14◦05.4 310◦52.0 -14◦44.9 326◦34.2 -19◦07.116 292◦00.0 14◦33.5 -27◦04.4 75◦26.7 -14◦05.9 325◦54.3 -14◦44.8 341◦36.6 -19◦07.017 307◦02.5 29◦33.5 -27◦04.2 90◦27.5 -14◦06.5 340◦56.5 -14◦44.7 356◦38.9 -19◦07.018 322◦05.0 44◦33.5 -27◦04.1 105◦28.3 -14◦07.1 355◦58.8 -14◦44.6 11◦41.2 -19◦06.919 337◦07.4 59◦33.5 -27◦03.9 120◦29.1 -14◦07.6 11◦01.1 -14◦44.6 26◦43.6 -19◦06.920 352◦09.9 74◦33.5 -27◦03.8 135◦29.9 -14◦08.2 26◦03.3 -14◦44.5 41◦45.9 -19◦06.921 7◦12.4 89◦33.5 -27◦03.7 150◦30.7 -14◦08.8 41◦05.6 -14◦44.4 56◦48.2 -19◦06.822 22◦14.8 104◦33.5 -27◦03.5 165◦31.5 -14◦09.3 56◦07.9 -14◦44.4 71◦50.5 -19◦06.823 37◦17.3 119◦33.5 -27◦03.4 180◦32.4 -14◦09.9 71◦10.1 -14◦44.3 86◦52.9 -19◦06.8Mer.pass.:20:31 v-0.0 d0.1 m-4.4 v0.8 d-0.6 m1.7 v2.3 d0.1 m-2.3 v2.3 d0.0 m0.7

Sat GHA GHA Dec GHA Dec GHA Dec GHA Dec0 52◦19.8 134◦33.5 -27◦03.2 195◦33.2 -14◦10.4 86◦12.4 -14◦44.2 101◦55.2 -19◦06.71 67◦22.2 149◦33.5 -27◦03.1 210◦34.0 -14◦11.0 101◦14.7 -14◦44.1 116◦57.5 -19◦06.72 82◦24.7 164◦33.5 -27◦02.9 225◦34.8 -14◦11.6 116◦16.9 -14◦44.1 131◦59.9 -19◦06.73 97◦27.1 179◦33.5 -27◦02.8 240◦35.6 -14◦12.1 131◦19.2 -14◦44.0 147◦02.2 -19◦06.64 112◦29.6 194◦33.5 -27◦02.6 255◦36.4 -14◦12.7 146◦21.4 -14◦43.9 162◦04.5 -19◦06.65 127◦32.1 209◦33.5 -27◦02.5 270◦37.2 -14◦13.3 161◦23.7 -14◦43.8 177◦06.8 -19◦06.66 142◦34.5 224◦33.6 -27◦02.3 285◦38.0 -14◦13.8 176◦26.0 -14◦43.8 192◦09.2 -19◦06.57 157◦37.0 239◦33.6 -27◦02.2 300◦38.8 -14◦14.4 191◦28.2 -14◦43.7 207◦11.5 -19◦06.58 172◦39.5 254◦33.6 -27◦02.0 315◦39.7 -14◦14.9 206◦30.5 -14◦43.6 222◦13.8 -19◦06.59 187◦41.9 269◦33.6 -27◦01.9 330◦40.5 -14◦15.5 221◦32.7 -14◦43.5 237◦16.1 -19◦06.410 202◦44.4 284◦33.6 -27◦01.7 345◦41.3 -14◦16.1 236◦35.0 -14◦43.5 252◦18.5 -19◦06.411 217◦46.9 299◦33.6 -27◦01.6 0◦42.1 -14◦16.6 251◦37.3 -14◦43.4 267◦20.8 -19◦06.412 232◦49.3 314◦33.7 -27◦01.4 15◦42.9 -14◦17.2 266◦39.5 -14◦43.3 282◦23.1 -19◦06.313 247◦51.8 329◦33.7 -27◦01.3 30◦43.7 -14◦17.7 281◦41.8 -14◦43.2 297◦25.4 -19◦06.314 262◦54.2 344◦33.7 -27◦01.1 45◦44.5 -14◦18.3 296◦44.0 -14◦43.2 312◦27.8 -19◦06.315 277◦56.7 359◦33.7 -27◦00.9 60◦45.3 -14◦18.9 311◦46.3 -14◦43.1 327◦30.1 -19◦06.216 292◦59.2 14◦33.8 -27◦00.8 75◦46.1 -14◦19.4 326◦48.6 -14◦43.0 342◦32.4 -19◦06.217 308◦01.6 29◦33.8 -27◦00.6 90◦46.9 -14◦20.0 341◦50.8 -14◦42.9 357◦34.7 -19◦06.118 323◦04.1 44◦33.8 -27◦00.5 105◦47.7 -14◦20.5 356◦53.1 -14◦42.9 12◦37.1 -19◦06.119 338◦06.6 59◦33.8 -27◦00.3 120◦48.5 -14◦21.1 11◦55.3 -14◦42.8 27◦39.4 -19◦06.120 353◦09.0 74◦33.9 -27◦00.1 135◦49.4 -14◦21.7 26◦57.6 -14◦42.7 42◦41.7 -19◦06.021 8◦11.5 89◦33.9 -26◦60.0 150◦50.2 -14◦22.2 41◦59.8 -14◦42.6 57◦44.0 -19◦06.022 23◦14.0 104◦33.9 -26◦59.8 165◦51.0 -14◦22.8 57◦02.1 -14◦42.5 72◦46.4 -19◦06.023 38◦16.4 119◦34.0 -26◦59.6 180◦51.8 -14◦23.3 72◦04.3 -14◦42.5 87◦48.7 -19◦05.9Mer.pass.:20:27 v0.0 d0.1 m-4.4 v0.8 d-0.6 m1.7 v2.3 d0.1 m-2.3 v2.3 d0.0 m0.7

Sun GHA GHA Dec GHA Dec GHA Dec GHA Dec0 53◦18.9 134◦34.0 -26◦59.5 195◦52.6 -14◦23.9 87◦06.6 -14◦42.4 102◦51.0 -19◦05.91 68◦21.4 149◦34.1 -26◦59.3 210◦53.4 -14◦24.4 102◦08.9 -14◦42.3 117◦53.3 -19◦05.92 83◦23.8 164◦34.1 -26◦59.1 225◦54.2 -14◦25.0 117◦11.1 -14◦42.2 132◦55.7 -19◦05.83 98◦26.3 179◦34.1 -26◦59.0 240◦55.0 -14◦25.6 132◦13.4 -14◦42.2 147◦58.0 -19◦05.84 113◦28.7 194◦34.2 -26◦58.8 255◦55.8 -14◦26.1 147◦15.6 -14◦42.1 163◦00.3 -19◦05.85 128◦31.2 209◦34.2 -26◦58.6 270◦56.6 -14◦26.7 162◦17.9 -14◦42.0 178◦02.6 -19◦05.76 143◦33.7 224◦34.3 -26◦58.4 285◦57.4 -14◦27.2 177◦20.1 -14◦41.9 193◦04.9 -19◦05.77 158◦36.1 239◦34.3 -26◦58.3 300◦58.2 -14◦27.8 192◦22.4 -14◦41.9 208◦07.3 -19◦05.68 173◦38.6 254◦34.4 -26◦58.1 315◦59.0 -14◦28.3 207◦24.6 -14◦41.8 223◦09.6 -19◦05.69 188◦41.1 269◦34.4 -26◦57.9 330◦59.8 -14◦28.9 222◦26.9 -14◦41.7 238◦11.9 -19◦05.610 203◦43.5 284◦34.5 -26◦57.7 346◦00.6 -14◦29.5 237◦29.1 -14◦41.6 253◦14.2 -19◦05.511 218◦46.0 299◦34.5 -26◦57.6 1◦01.4 -14◦30.0 252◦31.4 -14◦41.5 268◦16.6 -19◦05.512 233◦48.5 314◦34.6 -26◦57.4 16◦02.3 -14◦30.6 267◦33.6 -14◦41.5 283◦18.9 -19◦05.513 248◦50.9 329◦34.6 -26◦57.2 31◦03.1 -14◦31.1 282◦35.9 -14◦41.4 298◦21.2 -19◦05.414 263◦53.4 344◦34.7 -26◦57.0 46◦03.9 -14◦31.7 297◦38.1 -14◦41.3 313◦23.5 -19◦05.415 278◦55.9 359◦34.8 -26◦56.8 61◦04.7 -14◦32.2 312◦40.4 -14◦41.2 328◦25.8 -19◦05.416 293◦58.3 14◦34.8 -26◦56.7 76◦05.5 -14◦32.8 327◦42.6 -14◦41.1 343◦28.2 -19◦05.317 309◦00.8 29◦34.9 -26◦56.5 91◦06.3 -14◦33.3 342◦44.9 -14◦41.1 358◦30.5 -19◦05.318 324◦03.2 44◦34.9 -26◦56.3 106◦07.1 -14◦33.9 357◦47.1 -14◦41.0 13◦32.8 -19◦05.219 339◦05.7 59◦35.0 -26◦56.1 121◦07.9 -14◦34.5 12◦49.4 -14◦40.9 28◦35.1 -19◦05.220 354◦08.2 74◦35.1 -26◦55.9 136◦08.7 -14◦35.0 27◦51.6 -14◦40.8 43◦37.4 -19◦05.221 9◦10.6 89◦35.1 -26◦55.7 151◦09.5 -14◦35.6 42◦53.9 -14◦40.8 58◦39.8 -19◦05.122 24◦13.1 104◦35.2 -26◦55.6 166◦10.3 -14◦36.1 57◦56.1 -14◦40.7 73◦42.1 -19◦05.123 39◦15.6 119◦35.3 -26◦55.4 181◦11.1 -14◦36.7 72◦58.4 -14◦40.6 88◦44.4 -19◦05.1Mer.pass.:20:23 v0.0 d0.2 m-4.4 v0.8 d-0.6 m1.7 v2.3 d0.1 m-2.3 v2.3 d0.0 m0.7

StarsSHA Dec

Alpheratz 357◦37.2 29◦12.8Ankaa 353◦09.4 -42◦11.4

Schedar 349◦33.5 56◦39.6Diphda 348◦49.6 -17◦52.1

Achernar 335◦21.7 -57◦07.7Hamal 327◦53.8 23◦34.0Polaris 314◦46.0 89◦21.4Akamar 315◦13.3 -40◦13.1Menkar 314◦08.5 4◦10.5Mirfak 308◦31.5 49◦56.3

Aldebaran 290◦42.3 16◦33.2Rigel 281◦06.1 -8◦10.5

Capella 280◦25.3 46◦01.1Bellatrix 278◦25.4 6◦22.2Elnath 278◦04.8 28◦37.5Alnilam 275◦40.1 -1◦11.2

Betelgeuse 270◦54.6 7◦24.7Canopus 263◦53.1 -52◦42.2

Sirius 258◦28.2 -16◦44.4Adara 255◦07.7 -28◦59.9

Procyon 244◦53.3 5◦10.4Pollux 243◦20.2 27◦58.4Avior 234◦15.6 -59◦34.4Suhail 222◦48.1 -43◦30.9

Miaplacidus 221◦38.6 -69◦48.0Alphard 217◦50.3 -8◦45.0Regulus 207◦37.2 11◦51.7Dubhe 193◦44.5 61◦37.9

Denebola 182◦27.7 14◦27.1Gienah 175◦46.5 -17◦39.5Acrux 173◦03.4 -63◦12.8

Gacrux 171◦54.9 -57◦13.8Alioth 166◦15.8 55◦50.4Spica 158◦25.3 -11◦16.3Alcaid 152◦54.5 49◦12.3Hadar 148◦40.3 -60◦28.4

Menkent 148◦01.1 -36◦28.4Arcturus 145◦50.5 19◦04.5

Rigil Kent. 139◦44.5 -60◦55.3Zubenelg. 136◦59.2 -16◦07.8Kochab 137◦21.0 74◦04.0

Alphecca 126◦06.4 26◦38.6Antares 112◦19.4 -26◦28.7

Atria 107◦16.5 -69◦04.0Sabik 102◦06.1 -15◦45.0

Shaula 96◦14.3 -37◦07.1Rasalhague 96◦01.3 12◦32.8

Etamin 90◦43.8 51◦29.4Kaus Aust. 83◦36.3 -34◦22.5

Vega 80◦35.3 38◦48.4Nunki 75◦51.2 -26◦16.2Altair 62◦02.7 8◦55.6

Peacock 53◦10.0 -56◦40.1Deneb 49◦27.7 45◦21.7

Enif 33◦41.4 9◦58.6Alnair 27◦36.2 -46◦51.5

Fomalhaut 15◦17.3 -29◦30.5Scheat 13◦47.6 28◦12.2Markab 13◦32.4 15◦19.4

2021/11/ SHA Mer.passVenus 83◦13.2 15:02Mars 143◦53.0 10:58

Jupiter 33◦57.4 18:16Saturn 49◦38.7 17:13

2021/11/ SHA Mer.passVenus 82◦13.8 15:02Mars 143◦13.4 10:57

Jupiter 33◦52.6 18:12Saturn 49◦35.4 17:10

2021/11/ SHA Mer.passVenus 81◦15.1 15:02Mars 142◦33.7 10:56

Jupiter 33◦47.7 18:09Saturn 49◦32.1 17:06

Horizontal paralaxVenus: 0.3Mars: 0.1

212

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2021 November 12 to Nov. 14

h Sun MoonFri GHA Dec GHA ν Dec d HP0 183◦58.5 -17◦41.4 81◦35.6 10.6 -17◦55.0 11.2 57.51 198◦58.4 -17◦42.1 96◦05.3 10.7 -17◦43.8 11.2 57.42 213◦58.3 -17◦42.8 110◦35.0 10.8 -17◦32.5 11.3 57.43 228◦58.3 -17◦43.5 125◦04.8 10.9 -17◦21.2 11.4 57.44 243◦58.2 -17◦44.1 139◦34.8 11.0 -17◦09.8 11.5 57.35 258◦58.1 -17◦44.8 154◦04.8 11.1 -16◦58.3 11.5 57.36 273◦58.0 -17◦45.5 168◦34.9 11.2 -16◦46.7 11.6 57.37 288◦57.9 -17◦46.2 183◦05.2 11.3 -16◦35.0 11.7 57.28 303◦57.9 -17◦46.8 197◦35.5 11.4 -16◦23.3 11.7 57.29 318◦57.8 -17◦47.5 212◦05.9 11.5 -16◦11.6 11.8 57.210 333◦57.7 -17◦48.2 226◦36.5 11.6 -15◦59.7 11.9 57.111 348◦57.6 -17◦48.8 241◦07.1 11.7 -15◦47.8 11.9 57.112 3◦57.5 -17◦49.5 255◦37.8 11.8 -15◦35.8 12.0 57.113 18◦57.5 -17◦50.2 270◦08.7 11.9 -15◦23.8 12.1 57.114 33◦57.4 -17◦50.9 284◦39.6 12.0 -15◦11.7 12.1 57.015 48◦57.3 -17◦51.5 299◦10.6 12.1 -14◦59.5 12.2 57.016 63◦57.2 -17◦52.2 313◦41.7 12.1 -14◦47.3 12.3 57.017 78◦57.1 -17◦52.9 328◦12.9 12.2 -14◦35.0 12.3 56.918 93◦57.0 -17◦53.5 342◦44.2 12.3 -14◦22.6 12.4 56.919 108◦57.0 -17◦54.2 357◦15.5 12.4 -14◦10.3 12.4 56.920 123◦56.9 -17◦54.9 11◦47.0 12.5 -13◦57.8 12.5 56.821 138◦56.8 -17◦55.5 26◦18.5 12.6 -13◦45.3 12.5 56.822 153◦56.7 -17◦56.2 40◦50.2 12.7 -13◦32.7 12.6 56.823 168◦56.6 -17◦56.9 55◦21.9 12.8 -13◦20.1 12.6 56.8

SD.=16.2 d=-0.7 S.D.=15.7

Sat GHA Dec GHA ν Dec d HP0 183◦56.5 -17◦57.5 69◦53.7 12.8 -13◦07.5 12.7 56.71 198◦56.4 -17◦58.2 84◦25.5 12.9 -12◦54.8 12.7 56.72 213◦56.4 -17◦58.9 98◦57.5 13.0 -12◦42.0 12.8 56.73 228◦56.3 -17◦59.5 113◦29.5 13.1 -12◦29.2 12.8 56.64 243◦56.2 -18◦00.2 128◦01.7 13.2 -12◦16.4 12.9 56.65 258◦56.1 -18◦00.8 142◦33.9 13.2 -12◦03.5 12.9 56.66 273◦56.0 -18◦01.5 157◦06.1 13.3 -11◦50.6 12.9 56.67 288◦55.9 -18◦02.2 171◦38.5 13.4 -11◦37.6 13.0 56.58 303◦55.8 -18◦02.8 186◦10.9 13.5 -11◦24.6 13.0 56.59 318◦55.7 -18◦03.5 200◦43.4 13.5 -11◦11.6 13.1 56.510 333◦55.7 -18◦04.1 215◦16.0 13.6 -10◦58.5 13.1 56.411 348◦55.6 -18◦04.8 229◦48.6 13.7 -10◦45.4 13.1 56.412 3◦55.5 -18◦05.5 244◦21.4 13.7 -10◦32.2 13.2 56.413 18◦55.4 -18◦06.1 258◦54.1 13.8 -10◦19.1 13.2 56.414 33◦55.3 -18◦06.8 273◦27.0 13.9 -10◦05.8 13.2 56.315 48◦55.2 -18◦07.4 287◦59.9 14.0 -9◦52.6 13.3 56.316 63◦55.1 -18◦08.1 302◦32.9 14.0 -9◦39.3 13.3 56.317 78◦55.0 -18◦08.7 317◦05.9 14.1 -9◦26.0 13.3 56.318 93◦54.9 -18◦09.4 331◦39.1 14.1 -9◦12.6 13.4 56.219 108◦54.8 -18◦10.1 346◦12.2 14.2 -8◦59.3 13.4 56.220 123◦54.7 -18◦10.7 0◦45.5 14.3 -8◦45.9 13.4 56.221 138◦54.6 -18◦11.4 15◦18.8 14.3 -8◦32.4 13.4 56.222 153◦54.6 -18◦12.0 29◦52.1 14.4 -8◦19.0 13.5 56.123 168◦54.5 -18◦12.7 44◦25.5 14.4 -8◦05.5 13.5 56.1

SD.=16.2 d=-0.7 S.D.=15.5

Sun GHA Dec GHA ν Dec d HP0 183◦54.4 -18◦13.3 58◦59.0 14.5 -7◦52.0 13.5 56.11 198◦54.3 -18◦14.0 73◦32.5 14.6 -7◦38.5 13.5 56.02 213◦54.2 -18◦14.6 88◦06.1 14.6 -7◦25.0 13.5 56.03 228◦54.1 -18◦15.3 102◦39.7 14.7 -7◦11.4 13.6 56.04 243◦54.0 -18◦15.9 117◦13.4 14.7 -6◦57.8 13.6 56.05 258◦53.9 -18◦16.6 131◦47.2 14.8 -6◦44.2 13.6 56.06 273◦53.8 -18◦17.2 146◦20.9 14.8 -6◦30.6 13.6 55.97 288◦53.7 -18◦17.9 160◦54.8 14.9 -6◦17.0 13.6 55.98 303◦53.6 -18◦18.5 175◦28.7 14.9 -6◦03.4 13.7 55.99 318◦53.5 -18◦19.2 190◦02.6 14.9 -5◦49.7 13.7 55.910 333◦53.4 -18◦19.8 204◦36.6 15.0 -5◦36.0 13.7 55.811 348◦53.3 -18◦20.4 219◦10.6 15.0 -5◦22.3 13.7 55.812 3◦53.2 -18◦21.1 233◦44.6 15.1 -5◦08.6 13.7 55.813 18◦53.1 -18◦21.7 248◦18.7 15.1 -4◦54.9 13.7 55.814 33◦53.0 -18◦22.4 262◦52.9 15.2 -4◦41.2 13.7 55.715 48◦52.9 -18◦23.0 277◦27.1 15.2 -4◦27.5 13.7 55.716 63◦52.8 -18◦23.7 292◦01.3 15.2 -4◦13.8 13.7 55.717 78◦52.7 -18◦24.3 306◦35.5 15.3 -4◦00.0 13.7 55.718 93◦52.6 -18◦24.9 321◦09.8 15.3 -3◦46.3 13.7 55.619 108◦52.5 -18◦25.6 335◦44.2 15.3 -3◦32.5 13.8 55.620 123◦52.4 -18◦26.2 350◦18.5 15.4 -3◦18.8 13.8 55.621 138◦52.3 -18◦26.9 4◦52.9 15.4 -3◦05.0 13.8 55.622 153◦52.2 -18◦27.5 19◦27.3 15.4 -2◦51.2 13.8 55.623 168◦52.1 -18◦28.1 34◦01.8 15.5 -2◦37.5 13.8 55.5

SD.=16.2 d=-0.7 S.D.=15.3

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 06:53 08:26 10:35 12:52 15:02 16:3470 06:43 08:04 09:38 13:50 15:23 16:4468 06:36 07:48 09:04 14:23 15:40 16:5266 06:29 07:34 08:40 14:47 15:53 16:5964 06:23 07:23 08:21 15:06 16:05 17:0462 06:18 07:13 08:06 15:22 16:15 17:1060 06:13 07:05 07:53 15:35 16:23 17:1458 06:09 06:57 07:42 15:46 16:30 17:1956 06:05 06:51 07:33 15:55 16:37 17:2354 06:02 06:45 07:24 16:04 16:43 17:2652 05:58 06:39 07:17 16:11 16:49 17:3050 05:55 06:34 07:10 16:18 16:54 17:3345 05:48 06:23 06:55 16:33 17:05 17:4040 05:41 06:14 06:43 16:45 17:14 17:4735 05:35 06:06 06:33 16:56 17:22 17:5330 05:29 05:58 06:23 17:05 17:30 17:5920 05:18 05:45 06:08 17:21 17:44 18:1010 05:06 05:32 05:54 17:35 17:57 18:220 04:54 05:19 05:41 17:48 18:10 18:35-10 04:39 05:05 05:28 18:01 18:23 18:49-20 04:22 04:50 05:13 18:16 18:39 19:07-30 03:60 04:31 04:57 18:32 18:58 19:29-35 03:46 04:19 04:47 18:42 19:10 19:44-40 03:29 04:06 04:36 18:53 19:23 20:01-45 03:07 03:49 04:23 19:06 19:40 20:23-50 02:38 03:29 04:07 19:22 20:01 20:53-52 02:23 03:18 03:60 19:30 20:12 21:08-54 02:04 03:07 03:51 19:39 20:23 21:27-56 01:42 02:54 03:42 19:48 20:37 21:50-58 01:10 02:38 03:31 19:59 20:53 22:24-60 –:– 02:18 03:19 20:12 21:13 –:–

Moonrise MoonsetLat. Fri Sat Sun Fri Sat Sun72 16:43 15:58 15:27 22:03 –:– 00:2470 16:13 15:43 15:21 22:32 –:– 00:3668 15:50 15:31 15:16 22:53 –:– 00:4666 15:32 15:21 15:12 23:09 –:– 00:5464 15:18 15:13 15:08 23:22 –:– 01:0162 15:06 15:05 15:05 23:34 –:– 01:0760 14:55 14:59 15:02 23:43 –:– 01:1258 14:46 14:54 14:60 23:51 –:– 01:1656 14:38 14:49 14:58 23:59 –:– 01:2054 14:30 14:44 14:56 –:– 00:05 01:2452 14:24 14:40 14:54 –:– 00:11 01:2750 14:18 14:36 14:52 –:– 00:16 01:3045 14:05 14:28 14:49 –:– 00:27 01:3640 13:55 14:22 14:46 –:– 00:36 01:4135 13:46 14:16 14:43 –:– 00:44 01:4630 13:38 14:11 14:41 –:– 00:51 01:4920 13:24 14:02 14:37 00:06 01:03 01:5610 13:11 13:54 14:33 00:21 01:13 02:020 12:60 13:46 14:30 00:34 01:23 02:07-10 12:48 13:39 14:26 00:48 01:32 02:13-20 12:36 13:31 14:23 01:02 01:42 02:18-30 12:22 13:22 14:19 01:18 01:53 02:25-35 12:14 13:16 14:16 01:27 01:60 02:28-40 12:04 13:10 14:14 01:38 02:07 02:33-45 11:53 13:03 14:11 01:50 02:16 02:37-50 11:40 12:55 14:07 02:05 02:26 02:43-52 11:33 12:51 14:05 02:12 02:31 02:46-54 11:26 12:46 14:03 02:20 02:36 02:48-56 11:18 12:42 14:01 02:29 02:42 02:52-58 11:09 12:36 13:59 02:38 02:48 02:55-60 10:59 12:30 13:56 02:49 02:55 02:59

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower12 15:54 15:50 11:44 19:11 06:47 8(60%)13 15:46 15:42 11:44 19:56 07:34 9(70%)14 15:38 15:33 11:44 20:39 08:18 10(79%)

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November 15, 16 ,17 (Mon., Tue., Wed.)Aries Venus Mars Jupiter Saturn

Mon GHA GHA Dec GHA Dec GHA Dec GHA Dec0 54◦18.0 134◦35.4 -26◦55.2 196◦11.9 -14◦37.2 88◦00.6 -14◦40.5 103◦46.7 -19◦05.01 69◦20.5 149◦35.4 -26◦55.0 211◦12.7 -14◦37.8 103◦02.9 -14◦40.4 118◦49.0 -19◦05.02 84◦23.0 164◦35.5 -26◦54.8 226◦13.5 -14◦38.3 118◦05.1 -14◦40.4 133◦51.4 -19◦05.03 99◦25.4 179◦35.6 -26◦54.6 241◦14.3 -14◦38.9 133◦07.4 -14◦40.3 148◦53.7 -19◦04.94 114◦27.9 194◦35.7 -26◦54.4 256◦15.1 -14◦39.4 148◦09.6 -14◦40.2 163◦56.0 -19◦04.95 129◦30.3 209◦35.8 -26◦54.2 271◦15.9 -14◦40.0 163◦11.9 -14◦40.1 178◦58.3 -19◦04.86 144◦32.8 224◦35.8 -26◦54.0 286◦16.7 -14◦40.5 178◦14.1 -14◦40.0 194◦00.6 -19◦04.87 159◦35.3 239◦35.9 -26◦53.8 301◦17.5 -14◦41.1 193◦16.4 -14◦40.0 209◦03.0 -19◦04.88 174◦37.7 254◦36.0 -26◦53.6 316◦18.3 -14◦41.7 208◦18.6 -14◦39.9 224◦05.3 -19◦04.79 189◦40.2 269◦36.1 -26◦53.4 331◦19.1 -14◦42.2 223◦20.9 -14◦39.8 239◦07.6 -19◦04.710 204◦42.7 284◦36.2 -26◦53.2 346◦19.9 -14◦42.8 238◦23.1 -14◦39.7 254◦09.9 -19◦04.711 219◦45.1 299◦36.3 -26◦53.0 1◦20.7 -14◦43.3 253◦25.4 -14◦39.6 269◦12.2 -19◦04.612 234◦47.6 314◦36.4 -26◦52.8 16◦21.5 -14◦43.9 268◦27.6 -14◦39.6 284◦14.5 -19◦04.613 249◦50.1 329◦36.5 -26◦52.6 31◦22.3 -14◦44.4 283◦29.8 -14◦39.5 299◦16.9 -19◦04.514 264◦52.5 344◦36.6 -26◦52.4 46◦23.1 -14◦45.0 298◦32.1 -14◦39.4 314◦19.2 -19◦04.515 279◦55.0 359◦36.6 -26◦52.2 61◦23.9 -14◦45.5 313◦34.3 -14◦39.3 329◦21.5 -19◦04.516 294◦57.5 14◦36.7 -26◦52.0 76◦24.7 -14◦46.1 328◦36.6 -14◦39.2 344◦23.8 -19◦04.417 309◦59.9 29◦36.8 -26◦51.8 91◦25.5 -14◦46.6 343◦38.8 -14◦39.2 359◦26.1 -19◦04.418 325◦02.4 44◦36.9 -26◦51.6 106◦26.3 -14◦47.2 358◦41.1 -14◦39.1 14◦28.5 -19◦04.419 340◦04.8 59◦37.1 -26◦51.4 121◦27.1 -14◦47.7 13◦43.3 -14◦39.0 29◦30.8 -19◦04.320 355◦07.3 74◦37.2 -26◦51.2 136◦27.9 -14◦48.3 28◦45.5 -14◦38.9 44◦33.1 -19◦04.321 10◦09.8 89◦37.3 -26◦51.0 151◦28.7 -14◦48.8 43◦47.8 -14◦38.8 59◦35.4 -19◦04.222 25◦12.2 104◦37.4 -26◦50.8 166◦29.5 -14◦49.4 58◦50.0 -14◦38.7 74◦37.7 -19◦04.223 40◦14.7 119◦37.5 -26◦50.6 181◦30.3 -14◦49.9 73◦52.3 -14◦38.7 89◦40.0 -19◦04.2Mer.pass.:20:19 v0.1 d0.2 m-4.4 v0.8 d-0.6 m1.7 v2.2 d0.1 m-2.2 v2.3 d0.0 m0.7

Tue GHA GHA Dec GHA Dec GHA Dec GHA Dec0 55◦17.2 134◦37.6 -26◦50.4 196◦31.1 -14◦50.5 88◦54.5 -14◦38.6 104◦42.4 -19◦04.11 70◦19.6 149◦37.7 -26◦50.2 211◦31.9 -14◦51.0 103◦56.8 -14◦38.5 119◦44.7 -19◦04.12 85◦22.1 164◦37.8 -26◦50.0 226◦32.7 -14◦51.6 118◦59.0 -14◦38.4 134◦47.0 -19◦04.13 100◦24.6 179◦37.9 -26◦49.8 241◦33.5 -14◦52.1 134◦01.2 -14◦38.3 149◦49.3 -19◦04.04 115◦27.0 194◦38.1 -26◦49.5 256◦34.3 -14◦52.7 149◦03.5 -14◦38.3 164◦51.6 -19◦04.05 130◦29.5 209◦38.2 -26◦49.3 271◦35.1 -14◦53.2 164◦05.7 -14◦38.2 179◦53.9 -19◦03.96 145◦31.9 224◦38.3 -26◦49.1 286◦35.9 -14◦53.8 179◦08.0 -14◦38.1 194◦56.2 -19◦03.97 160◦34.4 239◦38.4 -26◦48.9 301◦36.7 -14◦54.3 194◦10.2 -14◦38.0 209◦58.6 -19◦03.98 175◦36.9 254◦38.5 -26◦48.7 316◦37.4 -14◦54.9 209◦12.4 -14◦37.9 225◦00.9 -19◦03.89 190◦39.3 269◦38.7 -26◦48.5 331◦38.2 -14◦55.4 224◦14.7 -14◦37.8 240◦03.2 -19◦03.810 205◦41.8 284◦38.8 -26◦48.3 346◦39.0 -14◦56.0 239◦16.9 -14◦37.8 255◦05.5 -19◦03.811 220◦44.3 299◦38.9 -26◦48.0 1◦39.8 -14◦56.5 254◦19.2 -14◦37.7 270◦07.8 -19◦03.712 235◦46.7 314◦39.1 -26◦47.8 16◦40.6 -14◦57.0 269◦21.4 -14◦37.6 285◦10.1 -19◦03.713 250◦49.2 329◦39.2 -26◦47.6 31◦41.4 -14◦57.6 284◦23.6 -14◦37.5 300◦12.4 -19◦03.614 265◦51.7 344◦39.3 -26◦47.4 46◦42.2 -14◦58.1 299◦25.9 -14◦37.4 315◦14.8 -19◦03.615 280◦54.1 359◦39.5 -26◦47.2 61◦43.0 -14◦58.7 314◦28.1 -14◦37.3 330◦17.1 -19◦03.616 295◦56.6 14◦39.6 -26◦46.9 76◦43.8 -14◦59.2 329◦30.3 -14◦37.3 345◦19.4 -19◦03.517 310◦59.1 29◦39.7 -26◦46.7 91◦44.6 -14◦59.8 344◦32.6 -14◦37.2 0◦21.7 -19◦03.518 326◦01.5 44◦39.9 -26◦46.5 106◦45.4 -15◦00.3 359◦34.8 -14◦37.1 15◦24.0 -19◦03.519 341◦04.0 59◦40.0 -26◦46.3 121◦46.2 -15◦00.9 14◦37.0 -14◦37.0 30◦26.3 -19◦03.420 356◦06.4 74◦40.2 -26◦46.0 136◦47.0 -15◦01.4 29◦39.3 -14◦36.9 45◦28.6 -19◦03.421 11◦08.9 89◦40.3 -26◦45.8 151◦47.8 -15◦02.0 44◦41.5 -14◦36.8 60◦31.0 -19◦03.322 26◦11.4 104◦40.4 -26◦45.6 166◦48.6 -15◦02.5 59◦43.8 -14◦36.8 75◦33.3 -19◦03.323 41◦13.8 119◦40.6 -26◦45.3 181◦49.4 -15◦03.1 74◦46.0 -14◦36.7 90◦35.6 -19◦03.3Mer.pass.:20:15 v0.1 d0.2 m-4.4 v0.8 d-0.5 m1.7 v2.2 d0.1 m-2.2 v2.3 d0.0 m0.7

Wed GHA GHA Dec GHA Dec GHA Dec GHA Dec0 56◦16.3 134◦40.7 -26◦45.1 196◦50.1 -15◦03.6 89◦48.2 -14◦36.6 105◦37.9 -19◦03.21 71◦18.8 149◦40.9 -26◦44.9 211◦50.9 -15◦04.1 104◦50.5 -14◦36.5 120◦40.2 -19◦03.22 86◦21.2 164◦41.1 -26◦44.7 226◦51.7 -15◦04.7 119◦52.7 -14◦36.4 135◦42.5 -19◦03.13 101◦23.7 179◦41.2 -26◦44.4 241◦52.5 -15◦05.2 134◦54.9 -14◦36.3 150◦44.8 -19◦03.14 116◦26.2 194◦41.4 -26◦44.2 256◦53.3 -15◦05.8 149◦57.2 -14◦36.3 165◦47.1 -19◦03.15 131◦28.6 209◦41.5 -26◦44.0 271◦54.1 -15◦06.3 164◦59.4 -14◦36.2 180◦49.5 -19◦03.06 146◦31.1 224◦41.7 -26◦43.7 286◦54.9 -15◦06.9 180◦01.6 -14◦36.1 195◦51.8 -19◦03.07 161◦33.6 239◦41.8 -26◦43.5 301◦55.7 -15◦07.4 195◦03.9 -14◦36.0 210◦54.1 -19◦02.98 176◦36.0 254◦42.0 -26◦43.2 316◦56.5 -15◦08.0 210◦06.1 -14◦35.9 225◦56.4 -19◦02.99 191◦38.5 269◦42.2 -26◦43.0 331◦57.3 -15◦08.5 225◦08.3 -14◦35.8 240◦58.7 -19◦02.910 206◦40.9 284◦42.3 -26◦42.8 346◦58.1 -15◦09.0 240◦10.5 -14◦35.7 256◦01.0 -19◦02.811 221◦43.4 299◦42.5 -26◦42.5 1◦58.8 -15◦09.6 255◦12.8 -14◦35.7 271◦03.3 -19◦02.812 236◦45.9 314◦42.7 -26◦42.3 16◦59.6 -15◦10.1 270◦15.0 -14◦35.6 286◦05.6 -19◦02.813 251◦48.3 329◦42.9 -26◦42.1 32◦00.4 -15◦10.7 285◦17.2 -14◦35.5 301◦07.9 -19◦02.714 266◦50.8 344◦43.0 -26◦41.8 47◦01.2 -15◦11.2 300◦19.5 -14◦35.4 316◦10.3 -19◦02.715 281◦53.3 359◦43.2 -26◦41.6 62◦02.0 -15◦11.8 315◦21.7 -14◦35.3 331◦12.6 -19◦02.616 296◦55.7 14◦43.4 -26◦41.3 77◦02.8 -15◦12.3 330◦23.9 -14◦35.2 346◦14.9 -19◦02.617 311◦58.2 29◦43.6 -26◦41.1 92◦03.6 -15◦12.8 345◦26.2 -14◦35.1 1◦17.2 -19◦02.618 327◦00.7 44◦43.7 -26◦40.8 107◦04.4 -15◦13.4 0◦28.4 -14◦35.1 16◦19.5 -19◦02.519 342◦03.1 59◦43.9 -26◦40.6 122◦05.2 -15◦13.9 15◦30.6 -14◦35.0 31◦21.8 -19◦02.520 357◦05.6 74◦44.1 -26◦40.4 137◦05.9 -15◦14.5 30◦32.8 -14◦34.9 46◦24.1 -19◦02.421 12◦08.0 89◦44.3 -26◦40.1 152◦06.7 -15◦15.0 45◦35.1 -14◦34.8 61◦26.4 -19◦02.422 27◦10.5 104◦44.5 -26◦39.9 167◦07.5 -15◦15.5 60◦37.3 -14◦34.7 76◦28.7 -19◦02.423 42◦13.0 119◦44.7 -26◦39.6 182◦08.3 -15◦16.1 75◦39.5 -14◦34.6 91◦31.0 -19◦02.3Mer.pass.:20:11 v0.2 d0.2 m-4.4 v0.8 d-0.5 m1.7 v2.2 d0.1 m-2.2 v2.3 d0.0 m0.7

StarsSHA Dec

Alpheratz 357◦37.2 29◦12.8Ankaa 353◦09.5 -42◦11.4

Schedar 349◦33.5 56◦39.6Diphda 348◦49.6 -17◦52.1

Achernar 335◦21.7 -57◦07.7Hamal 327◦53.8 23◦34.0Polaris 314◦46.1 89◦21.4Akamar 315◦13.3 -40◦13.1Menkar 314◦08.5 4◦10.5Mirfak 308◦31.4 49◦56.3

Aldebaran 290◦42.3 16◦33.2Rigel 281◦06.1 -8◦10.5

Capella 280◦25.3 46◦01.2Bellatrix 278◦25.4 6◦22.2Elnath 278◦04.8 28◦37.5Alnilam 275◦40.1 -1◦11.2

Betelgeuse 270◦54.6 7◦24.7Canopus 263◦53.1 -52◦42.2

Sirius 258◦28.2 -16◦44.4Adara 255◦07.6 -28◦59.9

Procyon 244◦53.3 5◦10.4Pollux 243◦20.2 27◦58.4Avior 234◦15.5 -59◦34.4Suhail 222◦48.1 -43◦30.9

Miaplacidus 221◦38.6 -69◦48.0Alphard 217◦50.3 -8◦45.0Regulus 207◦37.2 11◦51.7Dubhe 193◦44.5 61◦37.8

Denebola 182◦27.7 14◦27.1Gienah 175◦46.4 -17◦39.5Acrux 173◦03.4 -63◦12.8

Gacrux 171◦54.9 -57◦13.8Alioth 166◦15.8 55◦50.4Spica 158◦25.3 -11◦16.3Alcaid 152◦54.5 49◦12.3Hadar 148◦40.3 -60◦28.4

Menkent 148◦01.1 -36◦28.4Arcturus 145◦50.5 19◦04.5

Rigil Kent. 139◦44.5 -60◦55.3Zubenelg. 136◦59.2 -16◦07.8Kochab 137◦21.0 74◦03.9

Alphecca 126◦06.4 26◦38.6Antares 112◦19.4 -26◦28.7

Atria 107◦16.5 -69◦04.0Sabik 102◦06.1 -15◦45.0

Shaula 96◦14.3 -37◦07.1Rasalhague 96◦01.3 12◦32.8

Etamin 90◦43.8 51◦29.3Kaus Aust. 83◦36.3 -34◦22.5

Vega 80◦35.3 38◦48.4Nunki 75◦51.3 -26◦16.2Altair 62◦02.7 8◦55.6

Peacock 53◦10.1 -56◦40.1Deneb 49◦27.7 45◦21.7

Enif 33◦41.4 9◦58.6Alnair 27◦36.2 -46◦51.5

Fomalhaut 15◦17.4 -29◦30.5Scheat 13◦47.6 28◦12.2Markab 13◦32.4 15◦19.4

2021/11/ SHA Mer.passVenus 80◦17.3 15:02Mars 141◦53.9 10:55

Jupiter 33◦42.6 18:05Saturn 49◦28.7 17:02

2021/11/ SHA Mer.passVenus 79◦20.4 15:01Mars 141◦13.9 10:53

Jupiter 33◦37.4 18:02Saturn 49◦25.2 16:59

2021/11/ SHA Mer.passVenus 78◦24.4 15:01Mars 140◦33.8 10:52

Jupiter 33◦31.9 17:58Saturn 49◦21.6 16:55

Horizontal paralaxVenus: 0.3Mars: 0.1

214

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2021 November 15 to Nov. 17

h Sun MoonMon GHA Dec GHA ν Dec d HP0 183◦52.0 -18◦28.8 48◦36.3 15.5 -2◦23.7 13.8 55.51 198◦51.9 -18◦29.4 63◦10.8 15.5 -2◦10.0 13.8 55.52 213◦51.8 -18◦30.1 77◦45.3 15.6 -1◦56.2 13.8 55.53 228◦51.7 -18◦30.7 92◦19.9 15.6 -1◦42.4 13.8 55.54 243◦51.6 -18◦31.3 106◦54.5 15.6 -1◦28.7 13.8 55.45 258◦51.5 -18◦32.0 121◦29.1 15.6 -1◦14.9 13.8 55.46 273◦51.4 -18◦32.6 136◦03.8 15.7 -1◦01.2 13.8 55.47 288◦51.3 -18◦33.2 150◦38.4 15.7 -0◦47.4 13.7 55.48 303◦51.1 -18◦33.9 165◦13.1 15.7 -0◦33.7 13.7 55.39 318◦51.0 -18◦34.5 179◦47.8 15.7 -0◦19.9 13.7 55.310 333◦50.9 -18◦35.1 194◦22.5 15.7 -0◦06.2 13.7 55.311 348◦50.8 -18◦35.8 208◦57.3 15.7 0◦07.5 13.7 55.312 3◦50.7 -18◦36.4 223◦32.0 15.8 0◦21.2 13.7 55.313 18◦50.6 -18◦37.0 238◦06.8 15.8 0◦34.9 13.7 55.314 33◦50.5 -18◦37.7 252◦41.6 15.8 0◦48.6 13.7 55.215 48◦50.4 -18◦38.3 267◦16.4 15.8 1◦02.3 13.7 55.216 63◦50.3 -18◦38.9 281◦51.2 15.8 1◦16.0 13.7 55.217 78◦50.2 -18◦39.5 296◦26.0 15.8 1◦29.6 13.6 55.218 93◦50.1 -18◦40.2 311◦00.9 15.8 1◦43.3 13.6 55.219 108◦50.0 -18◦40.8 325◦35.7 15.8 1◦56.9 13.6 55.120 123◦49.8 -18◦41.4 340◦10.6 15.9 2◦10.5 13.6 55.121 138◦49.7 -18◦42.0 354◦45.4 15.9 2◦24.1 13.6 55.122 153◦49.6 -18◦42.7 9◦20.3 15.9 2◦37.7 13.6 55.123 168◦49.5 -18◦43.3 23◦55.2 15.9 2◦51.3 13.6 55.1

SD.=16.2 d=-0.6 S.D.=15.1

Tue GHA Dec GHA ν Dec d HP0 183◦49.4 -18◦43.9 38◦30.0 15.9 3◦04.8 13.5 55.01 198◦49.3 -18◦44.5 53◦04.9 15.9 3◦18.3 13.5 55.02 213◦49.2 -18◦45.2 67◦39.8 15.9 3◦31.8 13.5 55.03 228◦49.1 -18◦45.8 82◦14.7 15.9 3◦45.3 13.5 55.04 243◦49.0 -18◦46.4 96◦49.6 15.9 3◦58.8 13.4 55.05 258◦48.8 -18◦47.0 111◦24.5 15.9 4◦12.2 13.4 55.06 273◦48.7 -18◦47.7 125◦59.3 15.9 4◦25.6 13.4 54.97 288◦48.6 -18◦48.3 140◦34.2 15.9 4◦39.0 13.4 54.98 303◦48.5 -18◦48.9 155◦09.1 15.9 4◦52.4 13.4 54.99 318◦48.4 -18◦49.5 169◦44.0 15.9 5◦05.7 13.3 54.910 333◦48.3 -18◦50.1 184◦18.9 15.9 5◦19.0 13.3 54.911 348◦48.2 -18◦50.7 198◦53.7 15.9 5◦32.3 13.3 54.912 3◦48.0 -18◦51.4 213◦28.6 15.9 5◦45.6 13.2 54.813 18◦47.9 -18◦52.0 228◦03.4 15.8 5◦58.8 13.2 54.814 33◦47.8 -18◦52.6 242◦38.3 15.8 6◦12.0 13.2 54.815 48◦47.7 -18◦53.2 257◦13.1 15.8 6◦25.2 13.2 54.816 63◦47.6 -18◦53.8 271◦47.9 15.8 6◦38.3 13.1 54.817 78◦47.4 -18◦54.4 286◦22.7 15.8 6◦51.4 13.1 54.818 93◦47.3 -18◦55.1 300◦57.5 15.8 7◦04.5 13.1 54.819 108◦47.2 -18◦55.7 315◦32.3 15.8 7◦17.6 13.0 54.720 123◦47.1 -18◦56.3 330◦07.1 15.8 7◦30.6 13.0 54.721 138◦47.0 -18◦56.9 344◦41.8 15.7 7◦43.5 13.0 54.722 153◦46.9 -18◦57.5 359◦16.6 15.7 7◦56.5 12.9 54.723 168◦46.7 -18◦58.1 13◦51.3 15.7 8◦09.4 12.9 54.7

SD.=16.2 d=-0.6 S.D.=15.0

Wed GHA Dec GHA ν Dec d HP0 183◦46.6 -18◦58.7 28◦26.0 15.7 8◦22.2 12.8 54.71 198◦46.5 -18◦59.3 43◦00.7 15.7 8◦35.1 12.8 54.72 213◦46.4 -18◦59.9 57◦35.3 15.7 8◦47.9 12.8 54.63 228◦46.3 -19◦00.6 72◦10.0 15.6 9◦00.6 12.7 54.64 243◦46.1 -19◦01.2 86◦44.6 15.6 9◦13.3 12.7 54.65 258◦46.0 -19◦01.8 101◦19.2 15.6 9◦26.0 12.6 54.66 273◦45.9 -19◦02.4 115◦53.8 15.6 9◦38.6 12.6 54.67 288◦45.8 -19◦03.0 130◦28.4 15.5 9◦51.2 12.6 54.68 303◦45.6 -19◦03.6 145◦02.9 15.5 10◦03.7 12.5 54.69 318◦45.5 -19◦04.2 159◦37.4 15.5 10◦16.2 12.5 54.610 333◦45.4 -19◦04.8 174◦11.9 15.5 10◦28.7 12.4 54.511 348◦45.3 -19◦05.4 188◦46.4 15.4 10◦41.1 12.4 54.512 3◦45.1 -19◦06.0 203◦20.8 15.4 10◦53.5 12.3 54.513 18◦45.0 -19◦06.6 217◦55.2 15.4 11◦05.8 12.3 54.514 33◦44.9 -19◦07.2 232◦29.6 15.4 11◦18.0 12.2 54.515 48◦44.8 -19◦07.8 247◦03.9 15.3 11◦30.2 12.2 54.516 63◦44.6 -19◦08.4 261◦38.2 15.3 11◦42.4 12.1 54.517 78◦44.5 -19◦09.0 276◦12.5 15.3 11◦54.5 12.1 54.518 93◦44.4 -19◦09.6 290◦46.8 15.2 12◦06.6 12.0 54.419 108◦44.3 -19◦10.2 305◦21.0 15.2 12◦18.6 12.0 54.420 123◦44.1 -19◦10.8 319◦55.2 15.2 12◦30.6 11.9 54.421 138◦44.0 -19◦11.4 334◦29.3 15.1 12◦42.5 11.9 54.422 153◦43.9 -19◦12.0 349◦03.5 15.1 12◦54.3 11.8 54.423 168◦43.7 -19◦12.6 3◦37.6 15.1 13◦06.1 11.8 54.4

SD.=16.2 d=-0.6 S.D.=14.9

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 07:04 08:40 –:– –:– 14:49 16:2570 06:53 08:16 09:57 13:31 15:12 16:3568 06:44 07:58 09:18 14:10 15:31 16:4466 06:37 07:43 08:52 14:37 15:46 16:5264 06:30 07:31 08:31 14:58 15:58 16:5862 06:24 07:20 08:15 15:14 16:08 17:0460 06:19 07:11 08:01 15:28 16:17 17:0958 06:15 07:03 07:49 15:40 16:25 17:1456 06:10 06:56 07:39 15:50 16:33 17:1854 06:07 06:50 07:30 15:59 16:39 17:2252 06:03 06:44 07:22 16:07 16:45 17:2650 05:59 06:39 07:15 16:14 16:50 17:3045 05:52 06:27 06:59 16:30 17:02 17:3840 05:44 06:17 06:46 16:43 17:12 17:4535 05:38 06:09 06:36 16:54 17:21 17:5130 05:32 06:01 06:26 17:03 17:29 17:5820 05:20 05:46 06:09 17:20 17:43 18:1010 05:07 05:33 05:55 17:35 17:57 18:220 04:54 05:19 05:41 17:48 18:10 18:36-10 04:39 05:05 05:27 18:02 18:25 18:51-20 04:21 04:49 05:13 18:17 18:41 19:09-30 03:58 04:29 04:55 18:35 19:01 19:32-35 03:43 04:17 04:45 18:45 19:13 19:47-40 03:25 04:03 04:34 18:57 19:27 20:05-45 03:03 03:46 04:20 19:10 19:45 20:28-50 02:32 03:24 04:03 19:27 20:07 20:60-52 02:16 03:13 03:55 19:35 20:18 21:16-54 01:56 03:01 03:46 19:44 20:30 21:36-56 01:30 02:47 03:36 19:55 20:45 22:03-58 00:52 02:30 03:25 20:06 21:02 22:44-60 –:– 02:09 03:12 20:20 21:24 –:–

Moonrise MoonsetLat. Mon Tue Wed Mon Tue Wed72 14:59 14:32 13:60 02:26 04:23 06:2370 15:01 14:41 14:18 02:28 04:17 06:0768 15:02 14:48 14:32 02:31 04:12 05:5466 15:03 14:54 14:44 02:33 04:08 05:4464 15:03 14:59 14:54 02:34 04:05 05:3662 15:04 15:03 15:03 02:36 04:02 05:2860 15:05 15:07 15:10 02:37 03:60 05:2258 15:05 15:10 15:17 02:38 03:57 05:1756 15:05 15:13 15:22 02:39 03:55 05:1254 15:06 15:16 15:28 02:40 03:54 05:0752 15:06 15:19 15:32 02:40 03:52 05:0350 15:07 15:21 15:37 02:41 03:51 04:6045 15:07 15:26 15:46 02:42 03:48 04:5240 15:08 15:30 15:54 02:44 03:45 04:4635 15:09 15:34 16:01 02:45 03:43 04:4030 15:09 15:37 16:07 02:46 03:41 04:3520 15:10 15:43 16:17 02:47 03:37 04:2710 15:11 15:48 16:26 02:49 03:34 04:200 15:12 15:53 16:35 02:50 03:31 04:13-10 15:12 15:58 16:44 02:51 03:29 04:06-20 15:13 16:03 16:53 02:53 03:26 03:59-30 15:14 16:09 17:04 02:54 03:22 03:51-35 15:15 16:12 17:10 02:55 03:20 03:46-40 15:16 16:16 17:17 02:56 03:18 03:41-45 15:16 16:21 17:26 02:57 03:16 03:35-50 15:17 16:27 17:36 02:58 03:13 03:27-52 15:18 16:29 17:40 02:59 03:11 03:24-54 15:18 16:32 17:46 02:59 03:10 03:20-56 15:19 16:35 17:51 03:00 03:08 03:16-58 15:19 16:38 17:58 03:01 03:06 03:12-60 15:20 16:42 18:05 03:02 03:04 03:07

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower15 15:28 15:23 11:44 21:21 09:00 11(87%)16 15:18 15:12 11:44 22:02 09:42 12(93%)17 15:07 15:01 11:44 22:45 10:23 13(97%)

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November 18, 19 ,20 (Thu., Fri., Sat.)Aries Venus Mars Jupiter Saturn

Thu GHA GHA Dec GHA Dec GHA Dec GHA Dec0 57◦15.4 134◦44.9 -26◦39.4 197◦09.1 -15◦16.6 90◦41.8 -14◦34.5 106◦33.3 -19◦02.31 72◦17.9 149◦45.1 -26◦39.1 212◦09.9 -15◦17.2 105◦44.0 -14◦34.5 121◦35.7 -19◦02.22 87◦20.4 164◦45.3 -26◦38.9 227◦10.7 -15◦17.7 120◦46.2 -14◦34.4 136◦38.0 -19◦02.23 102◦22.8 179◦45.5 -26◦38.6 242◦11.5 -15◦18.2 135◦48.4 -14◦34.3 151◦40.3 -19◦02.24 117◦25.3 194◦45.7 -26◦38.4 257◦12.2 -15◦18.8 150◦50.7 -14◦34.2 166◦42.6 -19◦02.15 132◦27.8 209◦45.9 -26◦38.1 272◦13.0 -15◦19.3 165◦52.9 -14◦34.1 181◦44.9 -19◦02.16 147◦30.2 224◦46.1 -26◦37.8 287◦13.8 -15◦19.9 180◦55.1 -14◦34.0 196◦47.2 -19◦02.07 162◦32.7 239◦46.3 -26◦37.6 302◦14.6 -15◦20.4 195◦57.3 -14◦33.9 211◦49.5 -19◦02.08 177◦35.2 254◦46.5 -26◦37.3 317◦15.4 -15◦20.9 210◦59.6 -14◦33.8 226◦51.8 -19◦02.09 192◦37.6 269◦46.7 -26◦37.1 332◦16.2 -15◦21.5 226◦01.8 -14◦33.8 241◦54.1 -19◦01.910 207◦40.1 284◦46.9 -26◦36.8 347◦17.0 -15◦22.0 241◦04.0 -14◦33.7 256◦56.4 -19◦01.911 222◦42.5 299◦47.1 -26◦36.6 2◦17.7 -15◦22.6 256◦06.2 -14◦33.6 271◦58.7 -19◦01.812 237◦45.0 314◦47.3 -26◦36.3 17◦18.5 -15◦23.1 271◦08.5 -14◦33.5 287◦01.0 -19◦01.813 252◦47.5 329◦47.5 -26◦36.0 32◦19.3 -15◦23.6 286◦10.7 -14◦33.4 302◦03.3 -19◦01.814 267◦49.9 344◦47.7 -26◦35.8 47◦20.1 -15◦24.2 301◦12.9 -14◦33.3 317◦05.7 -19◦01.715 282◦52.4 359◦48.0 -26◦35.5 62◦20.9 -15◦24.7 316◦15.1 -14◦33.2 332◦08.0 -19◦01.716 297◦54.9 14◦48.2 -26◦35.3 77◦21.7 -15◦25.3 331◦17.4 -14◦33.1 347◦10.3 -19◦01.617 312◦57.3 29◦48.4 -26◦35.0 92◦22.4 -15◦25.8 346◦19.6 -14◦33.1 2◦12.6 -19◦01.618 327◦59.8 44◦48.6 -26◦34.7 107◦23.2 -15◦26.3 1◦21.8 -14◦33.0 17◦14.9 -19◦01.619 343◦02.3 59◦48.8 -26◦34.5 122◦24.0 -15◦26.9 16◦24.0 -14◦32.9 32◦17.2 -19◦01.520 358◦04.7 74◦49.1 -26◦34.2 137◦24.8 -15◦27.4 31◦26.2 -14◦32.8 47◦19.5 -19◦01.521 13◦07.2 89◦49.3 -26◦33.9 152◦25.6 -15◦27.9 46◦28.5 -14◦32.7 62◦21.8 -19◦01.422 28◦09.7 104◦49.5 -26◦33.7 167◦26.4 -15◦28.5 61◦30.7 -14◦32.6 77◦24.1 -19◦01.423 43◦12.1 119◦49.8 -26◦33.4 182◦27.1 -15◦29.0 76◦32.9 -14◦32.5 92◦26.4 -19◦01.4Mer.pass.:20:07 v0.2 d0.3 m-4.4 v0.8 d-0.5 m1.7 v2.2 d0.1 m-2.2 v2.3 d0.0 m0.7

Fri GHA GHA Dec GHA Dec GHA Dec GHA Dec0 58◦14.6 134◦50.0 -26◦33.1 197◦27.9 -15◦29.5 91◦35.1 -14◦32.4 107◦28.7 -19◦01.31 73◦17.0 149◦50.2 -26◦32.9 212◦28.7 -15◦30.1 106◦37.3 -14◦32.3 122◦31.0 -19◦01.32 88◦19.5 164◦50.5 -26◦32.6 227◦29.5 -15◦30.6 121◦39.6 -14◦32.3 137◦33.3 -19◦01.23 103◦22.0 179◦50.7 -26◦32.3 242◦30.3 -15◦31.2 136◦41.8 -14◦32.2 152◦35.6 -19◦01.24 118◦24.4 194◦51.0 -26◦32.1 257◦31.1 -15◦31.7 151◦44.0 -14◦32.1 167◦37.9 -19◦01.25 133◦26.9 209◦51.2 -26◦31.8 272◦31.8 -15◦32.2 166◦46.2 -14◦32.0 182◦40.2 -19◦01.16 148◦29.4 224◦51.4 -26◦31.5 287◦32.6 -15◦32.8 181◦48.4 -14◦31.9 197◦42.5 -19◦01.17 163◦31.8 239◦51.7 -26◦31.2 302◦33.4 -15◦33.3 196◦50.7 -14◦31.8 212◦44.8 -19◦01.08 178◦34.3 254◦51.9 -26◦31.0 317◦34.2 -15◦33.8 211◦52.9 -14◦31.7 227◦47.2 -19◦01.09 193◦36.8 269◦52.2 -26◦30.7 332◦35.0 -15◦34.4 226◦55.1 -14◦31.6 242◦49.5 -19◦01.010 208◦39.2 284◦52.4 -26◦30.4 347◦35.7 -15◦34.9 241◦57.3 -14◦31.5 257◦51.8 -19◦00.911 223◦41.7 299◦52.7 -26◦30.1 2◦36.5 -15◦35.4 256◦59.5 -14◦31.4 272◦54.1 -19◦00.912 238◦44.1 314◦53.0 -26◦29.9 17◦37.3 -15◦36.0 272◦01.8 -14◦31.4 287◦56.4 -19◦00.813 253◦46.6 329◦53.2 -26◦29.6 32◦38.1 -15◦36.5 287◦04.0 -14◦31.3 302◦58.7 -19◦00.814 268◦49.1 344◦53.5 -26◦29.3 47◦38.9 -15◦37.0 302◦06.2 -14◦31.2 318◦01.0 -19◦00.715 283◦51.5 359◦53.7 -26◦29.0 62◦39.6 -15◦37.6 317◦08.4 -14◦31.1 333◦03.3 -19◦00.716 298◦54.0 14◦54.0 -26◦28.7 77◦40.4 -15◦38.1 332◦10.6 -14◦31.0 348◦05.6 -19◦00.717 313◦56.5 29◦54.3 -26◦28.5 92◦41.2 -15◦38.6 347◦12.8 -14◦30.9 3◦07.9 -19◦00.618 328◦58.9 44◦54.5 -26◦28.2 107◦42.0 -15◦39.2 2◦15.0 -14◦30.8 18◦10.2 -19◦00.619 344◦01.4 59◦54.8 -26◦27.9 122◦42.7 -15◦39.7 17◦17.3 -14◦30.7 33◦12.5 -19◦00.520 359◦03.9 74◦55.1 -26◦27.6 137◦43.5 -15◦40.2 32◦19.5 -14◦30.6 48◦14.8 -19◦00.521 14◦06.3 89◦55.3 -26◦27.3 152◦44.3 -15◦40.8 47◦21.7 -14◦30.5 63◦17.1 -19◦00.522 29◦08.8 104◦55.6 -26◦27.0 167◦45.1 -15◦41.3 62◦23.9 -14◦30.4 78◦19.4 -19◦00.423 44◦11.3 119◦55.9 -26◦26.7 182◦45.9 -15◦41.8 77◦26.1 -14◦30.4 93◦21.7 -19◦00.4Mer.pass.:20:03 v0.2 d0.3 m-4.4 v0.8 d-0.5 m1.6 v2.2 d0.1 m-2.2 v2.3 d0.0 m0.7

Sat GHA GHA Dec GHA Dec GHA Dec GHA Dec0 59◦13.7 134◦56.2 -26◦26.5 197◦46.6 -15◦42.4 92◦28.3 -14◦30.3 108◦24.0 -19◦00.31 74◦16.2 149◦56.5 -26◦26.2 212◦47.4 -15◦42.9 107◦30.5 -14◦30.2 123◦26.3 -19◦00.32 89◦18.6 164◦56.7 -26◦25.9 227◦48.2 -15◦43.4 122◦32.8 -14◦30.1 138◦28.6 -19◦00.33 104◦21.1 179◦57.0 -26◦25.6 242◦49.0 -15◦44.0 137◦35.0 -14◦30.0 153◦30.9 -19◦00.24 119◦23.6 194◦57.3 -26◦25.3 257◦49.7 -15◦44.5 152◦37.2 -14◦29.9 168◦33.2 -19◦00.25 134◦26.0 209◦57.6 -26◦25.0 272◦50.5 -15◦45.0 167◦39.4 -14◦29.8 183◦35.5 -19◦00.16 149◦28.5 224◦57.9 -26◦24.7 287◦51.3 -15◦45.5 182◦41.6 -14◦29.7 198◦37.8 -19◦00.17 164◦31.0 239◦58.2 -26◦24.4 302◦52.1 -15◦46.1 197◦43.8 -14◦29.6 213◦40.1 -19◦00.08 179◦33.4 254◦58.5 -26◦24.1 317◦52.8 -15◦46.6 212◦46.0 -14◦29.5 228◦42.4 -19◦00.09 194◦35.9 269◦58.8 -26◦23.8 332◦53.6 -15◦47.1 227◦48.2 -14◦29.4 243◦44.7 -18◦60.010 209◦38.4 284◦59.1 -26◦23.5 347◦54.4 -15◦47.7 242◦50.5 -14◦29.3 258◦47.0 -18◦59.911 224◦40.8 299◦59.4 -26◦23.3 2◦55.2 -15◦48.2 257◦52.7 -14◦29.3 273◦49.3 -18◦59.912 239◦43.3 314◦59.7 -26◦23.0 17◦55.9 -15◦48.7 272◦54.9 -14◦29.2 288◦51.6 -18◦59.813 254◦45.8 329◦60.0 -26◦22.7 32◦56.7 -15◦49.2 287◦57.1 -14◦29.1 303◦53.9 -18◦59.814 269◦48.2 345◦00.3 -26◦22.4 47◦57.5 -15◦49.8 302◦59.3 -14◦29.0 318◦56.2 -18◦59.715 284◦50.7 0◦00.6 -26◦22.1 62◦58.3 -15◦50.3 318◦01.5 -14◦28.9 333◦58.5 -18◦59.716 299◦53.1 15◦00.9 -26◦21.8 77◦59.0 -15◦50.8 333◦03.7 -14◦28.8 349◦00.8 -18◦59.717 314◦55.6 30◦01.2 -26◦21.5 92◦59.8 -15◦51.4 348◦05.9 -14◦28.7 4◦03.1 -18◦59.618 329◦58.1 45◦01.5 -26◦21.2 108◦00.6 -15◦51.9 3◦08.1 -14◦28.6 19◦05.4 -18◦59.619 345◦00.5 60◦01.8 -26◦20.9 123◦01.4 -15◦52.4 18◦10.3 -14◦28.5 34◦07.7 -18◦59.520 0◦03.0 75◦02.1 -26◦20.6 138◦02.1 -15◦52.9 33◦12.6 -14◦28.4 49◦10.0 -18◦59.521 15◦05.5 90◦02.5 -26◦20.3 153◦02.9 -15◦53.5 48◦14.8 -14◦28.3 64◦12.3 -18◦59.522 30◦07.9 105◦02.8 -26◦20.0 168◦03.7 -15◦54.0 63◦17.0 -14◦28.2 79◦14.6 -18◦59.423 45◦10.4 120◦03.1 -26◦19.7 183◦04.4 -15◦54.5 78◦19.2 -14◦28.1 94◦16.9 -18◦59.4Mer.pass.:19:59 v0.3 d0.3 m-4.4 v0.8 d-0.5 m1.6 v2.2 d0.1 m-2.2 v2.3 d0.0 m0.7

StarsSHA Dec

Alpheratz 357◦37.3 29◦12.8Ankaa 353◦09.5 -42◦11.5

Schedar 349◦33.6 56◦39.6Diphda 348◦49.6 -17◦52.1

Achernar 335◦21.7 -57◦07.8Hamal 327◦53.8 23◦34.0Polaris 314◦46.0 89◦21.4Akamar 315◦13.4 -40◦13.1Menkar 314◦08.5 4◦10.5Mirfak 308◦31.4 49◦56.3

Aldebaran 290◦42.3 16◦33.2Rigel 281◦06.0 -8◦10.5

Capella 280◦25.3 46◦01.2Bellatrix 278◦25.4 6◦22.2Elnath 278◦04.8 28◦37.5Alnilam 275◦40.1 -1◦11.2

Betelgeuse 270◦54.6 7◦24.7Canopus 263◦53.1 -52◦42.2

Sirius 258◦28.2 -16◦44.5Adara 255◦07.6 -28◦59.9

Procyon 244◦53.3 5◦10.3Pollux 243◦20.2 27◦58.3Avior 234◦15.5 -59◦34.4Suhail 222◦48.1 -43◦30.9

Miaplacidus 221◦38.5 -69◦48.0Alphard 217◦50.2 -8◦45.0Regulus 207◦37.2 11◦51.7Dubhe 193◦44.4 61◦37.8

Denebola 182◦27.7 14◦27.1Gienah 175◦46.4 -17◦39.5Acrux 173◦03.4 -63◦12.8

Gacrux 171◦54.9 -57◦13.8Alioth 166◦15.8 55◦50.4Spica 158◦25.3 -11◦16.3Alcaid 152◦54.5 49◦12.3Hadar 148◦40.2 -60◦28.4

Menkent 148◦01.0 -36◦28.4Arcturus 145◦50.5 19◦04.5

Rigil Kent. 139◦44.5 -60◦55.3Zubenelg. 136◦59.2 -16◦07.8Kochab 137◦21.0 74◦03.9

Alphecca 126◦06.4 26◦38.6Antares 112◦19.4 -26◦28.7

Atria 107◦16.5 -69◦04.0Sabik 102◦06.1 -15◦45.0

Shaula 96◦14.3 -37◦07.1Rasalhague 96◦01.3 12◦32.8

Etamin 90◦43.9 51◦29.3Kaus Aust. 83◦36.3 -34◦22.5

Vega 80◦35.3 38◦48.4Nunki 75◦51.3 -26◦16.2Altair 62◦02.7 8◦55.6

Peacock 53◦10.1 -56◦40.1Deneb 49◦27.7 45◦21.7

Enif 33◦41.4 9◦58.6Alnair 27◦36.2 -46◦51.5

Fomalhaut 15◦17.4 -29◦30.6Scheat 13◦47.6 28◦12.2Markab 13◦32.4 15◦19.4

2021/11/ SHA Mer.passVenus 77◦29.4 15:01Mars 139◦53.7 10:51

Jupiter 33◦26.3 17:55Saturn 49◦17.9 16:51

2021/11/ SHA Mer.passVenus 76◦35.4 15:00Mars 139◦13.3 10:50

Jupiter 33◦20.5 17:51Saturn 49◦14.1 16:48

2021/11/ SHA Mer.passVenus 75◦42.5 14:60Mars 138◦32.9 10:48

Jupiter 33◦14.6 17:47Saturn 49◦10.3 16:44

Horizontal paralaxVenus: 0.3Mars: 0.1

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2021 November 18 to Nov. 20

h Sun MoonThu GHA Dec GHA ν Dec d HP0 183◦43.6 -19◦13.2 18◦11.6 15.0 13◦17.9 11.7 54.41 198◦43.5 -19◦13.8 32◦45.6 15.0 13◦29.5 11.7 54.42 213◦43.4 -19◦14.4 47◦19.6 15.0 13◦41.2 11.6 54.43 228◦43.2 -19◦15.0 61◦53.6 14.9 13◦52.7 11.5 54.34 243◦43.1 -19◦15.6 76◦27.5 14.9 14◦04.2 11.5 54.35 258◦43.0 -19◦16.2 91◦01.3 14.8 14◦15.7 11.4 54.36 273◦42.8 -19◦16.8 105◦35.2 14.8 14◦27.1 11.4 54.37 288◦42.7 -19◦17.4 120◦08.9 14.8 14◦38.4 11.3 54.38 303◦42.6 -19◦17.9 134◦42.7 14.7 14◦49.7 11.2 54.39 318◦42.4 -19◦18.5 149◦16.4 14.7 15◦00.9 11.2 54.310 333◦42.3 -19◦19.1 163◦50.1 14.6 15◦12.0 11.1 54.311 348◦42.2 -19◦19.7 178◦23.7 14.6 15◦23.1 11.0 54.312 3◦42.0 -19◦20.3 192◦57.3 14.6 15◦34.1 11.0 54.313 18◦41.9 -19◦20.9 207◦30.8 14.5 15◦45.0 10.9 54.214 33◦41.8 -19◦21.5 222◦04.3 14.5 15◦55.9 10.8 54.215 48◦41.6 -19◦22.1 236◦37.8 14.4 16◦06.7 10.8 54.216 63◦41.5 -19◦22.6 251◦11.2 14.4 16◦17.5 10.7 54.217 78◦41.4 -19◦23.2 265◦44.5 14.3 16◦28.1 10.6 54.218 93◦41.2 -19◦23.8 280◦17.9 14.3 16◦38.7 10.6 54.219 108◦41.1 -19◦24.4 294◦51.1 14.3 16◦49.3 10.5 54.220 123◦41.0 -19◦25.0 309◦24.4 14.2 16◦59.7 10.4 54.221 138◦40.8 -19◦25.6 323◦57.5 14.2 17◦10.1 10.3 54.222 153◦40.7 -19◦26.2 338◦30.7 14.1 17◦20.4 10.3 54.223 168◦40.6 -19◦26.7 353◦03.8 14.1 17◦30.7 10.2 54.2

SD.=16.2 d=-0.6 S.D.=14.8

Fri GHA Dec GHA ν Dec d HP0 183◦40.4 -19◦27.3 7◦36.8 14.0 17◦40.8 10.1 54.21 198◦40.3 -19◦27.9 22◦09.8 14.0 17◦50.9 10.1 54.22 213◦40.1 -19◦28.5 36◦42.8 13.9 18◦00.9 10.0 54.13 228◦40.0 -19◦29.1 51◦15.6 13.9 18◦10.9 9.9 54.14 243◦39.9 -19◦29.6 65◦48.5 13.8 18◦20.7 9.8 54.15 258◦39.7 -19◦30.2 80◦21.3 13.8 18◦30.5 9.7 54.16 273◦39.6 -19◦30.8 94◦54.1 13.7 18◦40.2 9.7 54.17 288◦39.4 -19◦31.4 109◦26.8 13.7 18◦49.8 9.6 54.18 303◦39.3 -19◦31.9 123◦59.4 13.6 18◦59.3 9.5 54.19 318◦39.2 -19◦32.5 138◦32.0 13.6 19◦08.8 9.4 54.110 333◦39.0 -19◦33.1 153◦04.6 13.5 19◦18.2 9.3 54.111 348◦38.9 -19◦33.7 167◦37.1 13.5 19◦27.5 9.2 54.112 3◦38.7 -19◦34.2 182◦09.5 13.4 19◦36.7 9.2 54.113 18◦38.6 -19◦34.8 196◦41.9 13.4 19◦45.8 9.1 54.114 33◦38.5 -19◦35.4 211◦14.3 13.3 19◦54.8 9.0 54.115 48◦38.3 -19◦36.0 225◦46.6 13.3 20◦03.8 8.9 54.116 63◦38.2 -19◦36.5 240◦18.8 13.2 20◦12.6 8.8 54.117 78◦38.0 -19◦37.1 254◦51.0 13.2 20◦21.4 8.7 54.118 93◦37.9 -19◦37.7 269◦23.2 13.1 20◦30.1 8.6 54.019 108◦37.7 -19◦38.3 283◦55.3 13.1 20◦38.7 8.5 54.020 123◦37.6 -19◦38.8 298◦27.3 13.0 20◦47.2 8.5 54.021 138◦37.4 -19◦39.4 312◦59.3 13.0 20◦55.6 8.4 54.022 153◦37.3 -19◦40.0 327◦31.2 12.9 21◦03.9 8.3 54.023 168◦37.2 -19◦40.5 342◦03.1 12.9 21◦12.2 8.2 54.0

SD.=16.2 d=-0.6 S.D.=14.8

Sat GHA Dec GHA ν Dec d HP0 183◦37.0 -19◦41.1 356◦35.0 12.8 21◦20.3 8.1 54.01 198◦36.9 -19◦41.7 11◦06.8 12.8 21◦28.3 8.0 54.02 213◦36.7 -19◦42.2 25◦38.5 12.7 21◦36.3 7.9 54.03 228◦36.6 -19◦42.8 40◦10.2 12.7 21◦44.1 7.8 54.04 243◦36.4 -19◦43.4 54◦41.8 12.6 21◦51.9 7.7 54.05 258◦36.3 -19◦43.9 69◦13.4 12.6 21◦59.6 7.6 54.06 273◦36.1 -19◦44.5 83◦44.9 12.5 22◦07.1 7.5 54.07 288◦36.0 -19◦45.0 98◦16.4 12.5 22◦14.6 7.4 54.08 303◦35.8 -19◦45.6 112◦47.9 12.4 22◦21.9 7.3 54.09 318◦35.7 -19◦46.2 127◦19.2 12.4 22◦29.2 7.2 54.010 333◦35.5 -19◦46.7 141◦50.6 12.3 22◦36.4 7.1 54.011 348◦35.4 -19◦47.3 156◦21.9 12.3 22◦43.4 7.0 54.012 3◦35.2 -19◦47.8 170◦53.1 12.2 22◦50.4 6.9 54.013 18◦35.1 -19◦48.4 185◦24.3 12.2 22◦57.2 6.8 54.014 33◦34.9 -19◦49.0 199◦55.4 12.1 23◦04.0 6.7 54.015 48◦34.8 -19◦49.5 214◦26.5 12.1 23◦10.7 6.6 54.016 63◦34.6 -19◦50.1 228◦57.5 12.0 23◦17.2 6.5 54.017 78◦34.5 -19◦50.6 243◦28.5 12.0 23◦23.6 6.4 54.018 93◦34.3 -19◦51.2 257◦59.5 11.9 23◦30.0 6.3 54.019 108◦34.2 -19◦51.7 272◦30.4 11.9 23◦36.2 6.2 54.020 123◦34.0 -19◦52.3 287◦01.2 11.8 23◦42.3 6.1 54.021 138◦33.9 -19◦52.9 301◦32.0 11.8 23◦48.4 6.0 54.022 153◦33.7 -19◦53.4 316◦02.8 11.7 23◦54.3 5.9 54.023 168◦33.5 -19◦54.0 330◦33.5 11.7 24◦00.1 5.7 54.0

SD.=16.2 d=-0.6 S.D.=14.7

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 07:14 08:54 –:– –:– 14:36 16:1670 07:02 08:28 10:20 13:10 15:02 16:2768 06:53 08:08 09:33 13:57 15:22 16:3766 06:44 07:52 09:03 14:27 15:38 16:4664 06:37 07:39 08:41 14:49 15:51 16:5362 06:31 07:27 08:23 15:07 16:03 16:5960 06:25 07:18 08:08 15:22 16:12 17:0558 06:20 07:09 07:56 15:34 16:21 17:1056 06:15 07:02 07:45 15:45 16:28 17:1554 06:11 06:55 07:35 15:55 16:35 17:1952 06:07 06:49 07:27 16:03 16:41 17:2350 06:04 06:43 07:19 16:11 16:47 17:2745 05:55 06:31 07:03 16:27 16:59 17:3540 05:48 06:20 06:50 16:41 17:10 17:4335 05:41 06:11 06:38 16:52 17:19 17:5030 05:34 06:03 06:28 17:02 17:28 17:5720 05:21 05:48 06:11 17:19 17:43 18:1010 05:08 05:34 05:56 17:35 17:57 18:230 04:54 05:20 05:42 17:49 18:11 18:36-10 04:39 05:05 05:27 18:04 18:26 18:52-20 04:20 04:48 05:12 18:19 18:43 19:11-30 03:56 04:28 04:54 18:37 19:04 19:35-35 03:41 04:15 04:43 18:48 19:16 19:51-40 03:22 04:00 04:31 19:00 19:31 20:09-45 02:58 03:42 04:17 19:15 19:49 20:34-50 02:26 03:20 03:59 19:32 20:12 21:07-52 02:09 03:08 03:51 19:41 20:24 21:24-54 01:47 02:55 03:42 19:50 20:37 21:46-56 01:19 02:40 03:31 20:01 20:52 22:16-58 00:29 02:22 03:19 20:13 21:11 23:11-60 –:– 01:59 03:05 20:27 21:34 –:–

Moonrise MoonsetLat. Thu Fri Sat Thu Fri Sat72 13:11 –:– –:– 08:42 –:– –:–70 13:47 12:39 –:– 08:07 10:48 –:–68 14:13 13:43 –:– 07:42 09:45 –:–66 14:33 14:19 13:51 07:24 09:10 11:1464 14:49 14:44 14:39 07:08 08:45 10:2762 15:03 15:04 15:09 06:56 08:26 09:5760 15:14 15:21 15:32 06:45 08:10 09:3558 15:24 15:35 15:51 06:36 07:57 09:1756 15:33 15:47 16:07 06:28 07:45 09:0154 15:41 15:58 16:20 06:21 07:35 08:4852 15:48 16:07 16:32 06:15 07:26 08:3750 15:54 16:16 16:42 06:09 07:18 08:2745 16:08 16:34 17:04 05:57 07:01 08:0640 16:19 16:48 17:22 05:47 06:48 07:4935 16:29 17:01 17:37 05:38 06:36 07:3430 16:38 17:12 17:50 05:30 06:26 07:2220 16:53 17:31 18:12 05:17 06:09 07:0110 17:06 17:47 18:32 05:06 05:53 06:420 17:18 18:03 18:50 04:55 05:39 06:25-10 17:30 18:19 19:08 04:45 05:25 06:08-20 17:44 18:35 19:28 04:34 05:10 05:50-30 17:59 18:55 19:51 04:21 04:53 05:29-35 18:08 19:06 20:04 04:14 04:44 05:17-40 18:18 19:19 20:20 04:05 04:32 05:03-45 18:30 19:35 20:38 03:55 04:19 04:47-50 18:45 19:54 21:01 03:44 04:03 04:27-52 18:52 20:03 21:13 03:38 03:56 04:17-54 18:60 20:14 21:25 03:33 03:47 04:06-56 19:08 20:25 21:40 03:26 03:38 03:54-58 19:18 20:39 21:57 03:19 03:28 03:40-60 19:29 20:55 22:19 03:10 03:15 03:24

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower18 14:55 14:48 11:45 23:28 11:06 14(99%)19 14:42 14:35 11:45 00:14 11:51 15(100%)20 14:28 14:21 11:45 00:14 12:37 16(99%)

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November 21, 22 ,23 (Sun., Mon., Tue.)Aries Venus Mars Jupiter Saturn

Sun GHA GHA Dec GHA Dec GHA Dec GHA Dec0 60◦12.9 135◦03.4 -26◦19.3 198◦05.2 -15◦55.1 93◦21.4 -14◦28.0 109◦19.2 -18◦59.31 75◦15.3 150◦03.8 -26◦19.0 213◦06.0 -15◦55.6 108◦23.6 -14◦27.9 124◦21.5 -18◦59.32 90◦17.8 165◦04.1 -26◦18.7 228◦06.8 -15◦56.1 123◦25.8 -14◦27.9 139◦23.8 -18◦59.23 105◦20.3 180◦04.4 -26◦18.4 243◦07.5 -15◦56.6 138◦28.0 -14◦27.8 154◦26.1 -18◦59.24 120◦22.7 195◦04.8 -26◦18.1 258◦08.3 -15◦57.2 153◦30.2 -14◦27.7 169◦28.4 -18◦59.25 135◦25.2 210◦05.1 -26◦17.8 273◦09.1 -15◦57.7 168◦32.4 -14◦27.6 184◦30.7 -18◦59.16 150◦27.6 225◦05.4 -26◦17.5 288◦09.8 -15◦58.2 183◦34.6 -14◦27.5 199◦33.0 -18◦59.17 165◦30.1 240◦05.8 -26◦17.2 303◦10.6 -15◦58.7 198◦36.8 -14◦27.4 214◦35.3 -18◦59.08 180◦32.6 255◦06.1 -26◦16.9 318◦11.4 -15◦59.3 213◦39.0 -14◦27.3 229◦37.6 -18◦59.09 195◦35.0 270◦06.4 -26◦16.6 333◦12.2 -15◦59.8 228◦41.2 -14◦27.2 244◦39.9 -18◦58.910 210◦37.5 285◦06.8 -26◦16.3 348◦12.9 -16◦00.3 243◦43.4 -14◦27.1 259◦42.2 -18◦58.911 225◦40.0 300◦07.1 -26◦15.9 3◦13.7 -16◦00.8 258◦45.6 -14◦27.0 274◦44.5 -18◦58.912 240◦42.4 315◦07.5 -26◦15.6 18◦14.5 -16◦01.4 273◦47.8 -14◦26.9 289◦46.8 -18◦58.813 255◦44.9 330◦07.8 -26◦15.3 33◦15.2 -16◦01.9 288◦50.0 -14◦26.8 304◦49.1 -18◦58.814 270◦47.4 345◦08.2 -26◦15.0 48◦16.0 -16◦02.4 303◦52.2 -14◦26.7 319◦51.3 -18◦58.715 285◦49.8 0◦08.5 -26◦14.7 63◦16.8 -16◦02.9 318◦54.5 -14◦26.6 334◦53.6 -18◦58.716 300◦52.3 15◦08.9 -26◦14.4 78◦17.5 -16◦03.5 333◦56.7 -14◦26.5 349◦55.9 -18◦58.617 315◦54.8 30◦09.3 -26◦14.0 93◦18.3 -16◦04.0 348◦58.9 -14◦26.4 4◦58.2 -18◦58.618 330◦57.2 45◦09.6 -26◦13.7 108◦19.1 -16◦04.5 4◦01.1 -14◦26.3 20◦00.5 -18◦58.619 345◦59.7 60◦10.0 -26◦13.4 123◦19.8 -16◦05.0 19◦03.3 -14◦26.2 35◦02.8 -18◦58.520 1◦02.1 75◦10.4 -26◦13.1 138◦20.6 -16◦05.5 34◦05.5 -14◦26.1 50◦05.1 -18◦58.521 16◦04.6 90◦10.7 -26◦12.8 153◦21.4 -16◦06.1 49◦07.7 -14◦26.0 65◦07.4 -18◦58.422 31◦07.1 105◦11.1 -26◦12.5 168◦22.1 -16◦06.6 64◦09.9 -14◦25.9 80◦09.7 -18◦58.423 46◦09.5 120◦11.5 -26◦12.1 183◦22.9 -16◦07.1 79◦12.1 -14◦25.9 95◦12.0 -18◦58.3Mer.pass.:19:55 v0.3 d0.3 m-4.4 v0.8 d-0.5 m1.6 v2.2 d0.1 m-2.2 v2.3 d0.0 m0.7

Mon GHA GHA Dec GHA Dec GHA Dec GHA Dec0 61◦12.0 135◦11.8 -26◦11.8 198◦23.7 -16◦07.6 94◦14.3 -14◦25.8 110◦14.3 -18◦58.31 76◦14.5 150◦12.2 -26◦11.5 213◦24.4 -16◦08.2 109◦16.5 -14◦25.7 125◦16.6 -18◦58.32 91◦16.9 165◦12.6 -26◦11.2 228◦25.2 -16◦08.7 124◦18.7 -14◦25.6 140◦18.9 -18◦58.23 106◦19.4 180◦13.0 -26◦10.8 243◦26.0 -16◦09.2 139◦20.9 -14◦25.5 155◦21.2 -18◦58.24 121◦21.9 195◦13.3 -26◦10.5 258◦26.7 -16◦09.7 154◦23.1 -14◦25.4 170◦23.5 -18◦58.15 136◦24.3 210◦13.7 -26◦10.2 273◦27.5 -16◦10.2 169◦25.3 -14◦25.3 185◦25.8 -18◦58.16 151◦26.8 225◦14.1 -26◦09.9 288◦28.3 -16◦10.8 184◦27.5 -14◦25.2 200◦28.1 -18◦58.07 166◦29.2 240◦14.5 -26◦09.5 303◦29.0 -16◦11.3 199◦29.7 -14◦25.1 215◦30.4 -18◦58.08 181◦31.7 255◦14.9 -26◦09.2 318◦29.8 -16◦11.8 214◦31.9 -14◦25.0 230◦32.7 -18◦57.99 196◦34.2 270◦15.3 -26◦08.9 333◦30.6 -16◦12.3 229◦34.1 -14◦24.9 245◦34.9 -18◦57.910 211◦36.6 285◦15.7 -26◦08.5 348◦31.3 -16◦12.8 244◦36.3 -14◦24.8 260◦37.2 -18◦57.911 226◦39.1 300◦16.1 -26◦08.2 3◦32.1 -16◦13.4 259◦38.5 -14◦24.7 275◦39.5 -18◦57.812 241◦41.6 315◦16.5 -26◦07.9 18◦32.9 -16◦13.9 274◦40.6 -14◦24.6 290◦41.8 -18◦57.813 256◦44.0 330◦16.9 -26◦07.6 33◦33.6 -16◦14.4 289◦42.8 -14◦24.5 305◦44.1 -18◦57.714 271◦46.5 345◦17.3 -26◦07.2 48◦34.4 -16◦14.9 304◦45.0 -14◦24.4 320◦46.4 -18◦57.715 286◦49.0 0◦17.7 -26◦06.9 63◦35.2 -16◦15.4 319◦47.2 -14◦24.3 335◦48.7 -18◦57.616 301◦51.4 15◦18.1 -26◦06.6 78◦35.9 -16◦16.0 334◦49.4 -14◦24.2 350◦51.0 -18◦57.617 316◦53.9 30◦18.5 -26◦06.2 93◦36.7 -16◦16.5 349◦51.6 -14◦24.1 5◦53.3 -18◦57.618 331◦56.4 45◦18.9 -26◦05.9 108◦37.4 -16◦17.0 4◦53.8 -14◦24.0 20◦55.6 -18◦57.519 346◦58.8 60◦19.3 -26◦05.5 123◦38.2 -16◦17.5 19◦56.0 -14◦23.9 35◦57.9 -18◦57.520 2◦01.3 75◦19.7 -26◦05.2 138◦39.0 -16◦18.0 34◦58.2 -14◦23.8 51◦00.2 -18◦57.421 17◦03.7 90◦20.1 -26◦04.9 153◦39.7 -16◦18.5 50◦00.4 -14◦23.7 66◦02.5 -18◦57.422 32◦06.2 105◦20.6 -26◦04.5 168◦40.5 -16◦19.1 65◦02.6 -14◦23.6 81◦04.7 -18◦57.323 47◦08.7 120◦21.0 -26◦04.2 183◦41.3 -16◦19.6 80◦04.8 -14◦23.5 96◦07.0 -18◦57.3Mer.pass.:19:51 v0.4 d0.3 m-4.4 v0.8 d-0.5 m1.6 v2.2 d0.1 m-2.2 v2.3 d0.0 m0.7

Tue GHA GHA Dec GHA Dec GHA Dec GHA Dec0 62◦11.1 135◦21.4 -26◦03.9 198◦42.0 -16◦20.1 95◦07.0 -14◦23.4 111◦09.3 -18◦57.21 77◦13.6 150◦21.8 -26◦03.5 213◦42.8 -16◦20.6 110◦09.2 -14◦23.3 126◦11.6 -18◦57.22 92◦16.1 165◦22.3 -26◦03.2 228◦43.5 -16◦21.1 125◦11.4 -14◦23.2 141◦13.9 -18◦57.23 107◦18.5 180◦22.7 -26◦02.8 243◦44.3 -16◦21.7 140◦13.6 -14◦23.1 156◦16.2 -18◦57.14 122◦21.0 195◦23.1 -26◦02.5 258◦45.1 -16◦22.2 155◦15.8 -14◦23.0 171◦18.5 -18◦57.15 137◦23.5 210◦23.6 -26◦02.2 273◦45.8 -16◦22.7 170◦18.0 -14◦22.9 186◦20.8 -18◦57.06 152◦25.9 225◦24.0 -26◦01.8 288◦46.6 -16◦23.2 185◦20.2 -14◦22.8 201◦23.1 -18◦57.07 167◦28.4 240◦24.4 -26◦01.5 303◦47.3 -16◦23.7 200◦22.3 -14◦22.7 216◦25.4 -18◦56.98 182◦30.9 255◦24.9 -26◦01.1 318◦48.1 -16◦24.2 215◦24.5 -14◦22.6 231◦27.7 -18◦56.99 197◦33.3 270◦25.3 -26◦00.8 333◦48.9 -16◦24.7 230◦26.7 -14◦22.5 246◦29.9 -18◦56.810 212◦35.8 285◦25.8 -26◦00.4 348◦49.6 -16◦25.3 245◦28.9 -14◦22.4 261◦32.2 -18◦56.811 227◦38.2 300◦26.2 -26◦00.1 3◦50.4 -16◦25.8 260◦31.1 -14◦22.3 276◦34.5 -18◦56.812 242◦40.7 315◦26.6 -25◦59.7 18◦51.1 -16◦26.3 275◦33.3 -14◦22.2 291◦36.8 -18◦56.713 257◦43.2 330◦27.1 -25◦59.4 33◦51.9 -16◦26.8 290◦35.5 -14◦22.1 306◦39.1 -18◦56.714 272◦45.6 345◦27.6 -25◦59.0 48◦52.7 -16◦27.3 305◦37.7 -14◦22.0 321◦41.4 -18◦56.615 287◦48.1 0◦28.0 -25◦58.7 63◦53.4 -16◦27.8 320◦39.9 -14◦21.9 336◦43.7 -18◦56.616 302◦50.6 15◦28.5 -25◦58.3 78◦54.2 -16◦28.3 335◦42.1 -14◦21.8 351◦46.0 -18◦56.517 317◦53.0 30◦28.9 -25◦58.0 93◦54.9 -16◦28.9 350◦44.2 -14◦21.7 6◦48.3 -18◦56.518 332◦55.5 45◦29.4 -25◦57.6 108◦55.7 -16◦29.4 5◦46.4 -14◦21.6 21◦50.5 -18◦56.419 347◦58.0 60◦29.8 -25◦57.3 123◦56.4 -16◦29.9 20◦48.6 -14◦21.5 36◦52.8 -18◦56.420 3◦00.4 75◦30.3 -25◦56.9 138◦57.2 -16◦30.4 35◦50.8 -14◦21.4 51◦55.1 -18◦56.321 18◦02.9 90◦30.8 -25◦56.6 153◦58.0 -16◦30.9 50◦53.0 -14◦21.3 66◦57.4 -18◦56.322 33◦05.4 105◦31.3 -25◦56.2 168◦58.7 -16◦31.4 65◦55.2 -14◦21.2 81◦59.7 -18◦56.323 48◦07.8 120◦31.7 -25◦55.9 183◦59.5 -16◦31.9 80◦57.4 -14◦21.1 97◦02.0 -18◦56.2Mer.pass.:19:48 v0.4 d0.3 m-4.4 v0.8 d-0.5 m1.6 v2.2 d0.1 m-2.2 v2.3 d0.0 m0.7

StarsSHA Dec

Alpheratz 357◦37.3 29◦12.8Ankaa 353◦09.5 -42◦11.5

Schedar 349◦33.6 56◦39.6Diphda 348◦49.6 -17◦52.1

Achernar 335◦21.7 -57◦07.8Hamal 327◦53.8 23◦34.0Polaris 314◦45.9 89◦21.4Akamar 315◦13.3 -40◦13.1Menkar 314◦08.5 4◦10.5Mirfak 308◦31.4 49◦56.3

Aldebaran 290◦42.3 16◦33.2Rigel 281◦06.0 -8◦10.6

Capella 280◦25.3 46◦01.2Bellatrix 278◦25.3 6◦22.2Elnath 278◦04.8 28◦37.5Alnilam 275◦40.1 -1◦11.3

Betelgeuse 270◦54.6 7◦24.7Canopus 263◦53.1 -52◦42.2

Sirius 258◦28.2 -16◦44.5Adara 255◦07.6 -28◦59.9

Procyon 244◦53.3 5◦10.3Pollux 243◦20.2 27◦58.3Avior 234◦15.5 -59◦34.4Suhail 222◦48.1 -43◦30.9

Miaplacidus 221◦38.5 -69◦48.0Alphard 217◦50.2 -8◦45.0Regulus 207◦37.2 11◦51.7Dubhe 193◦44.4 61◦37.8

Denebola 182◦27.7 14◦27.1Gienah 175◦46.4 -17◦39.5Acrux 173◦03.3 -63◦12.8

Gacrux 171◦54.8 -57◦13.8Alioth 166◦15.7 55◦50.4Spica 158◦25.3 -11◦16.3Alcaid 152◦54.5 49◦12.2Hadar 148◦40.2 -60◦28.4

Menkent 148◦01.0 -36◦28.4Arcturus 145◦50.5 19◦04.5

Rigil Kent. 139◦44.5 -60◦55.3Zubenelg. 136◦59.2 -16◦07.8Kochab 137◦21.0 74◦03.9

Alphecca 126◦06.3 26◦38.6Antares 112◦19.4 -26◦28.7

Atria 107◦16.5 -69◦03.9Sabik 102◦06.1 -15◦45.0

Shaula 96◦14.3 -37◦07.1Rasalhague 96◦01.3 12◦32.8

Etamin 90◦43.9 51◦29.3Kaus Aust. 83◦36.3 -34◦22.4

Vega 80◦35.3 38◦48.4Nunki 75◦51.3 -26◦16.2Altair 62◦02.7 8◦55.6

Peacock 53◦10.1 -56◦40.1Deneb 49◦27.7 45◦21.7

Enif 33◦41.4 9◦58.6Alnair 27◦36.2 -46◦51.5

Fomalhaut 15◦17.4 -29◦30.6Scheat 13◦47.6 28◦12.2Markab 13◦32.4 15◦19.4

2021/11/ SHA Mer.passVenus 74◦50.6 14:59Mars 137◦52.4 10:47

Jupiter 33◦08.5 17:44Saturn 49◦06.3 16:40

2021/11/ SHA Mer.passVenus 73◦59.8 14:59Mars 137◦11.7 10:46

Jupiter 33◦02.3 17:40Saturn 49◦02.3 16:37

2021/11/ SHA Mer.passVenus 73◦10.3 14:58Mars 136◦30.9 10:45

Jupiter 32◦55.9 17:37Saturn 48◦58.2 16:33

Horizontal paralaxVenus: 0.3Mars: 0.1

218

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2021 November 21 to Nov. 23

h Sun MoonSun GHA Dec GHA ν Dec d HP0 183◦33.4 -19◦54.5 345◦04.2 11.6 24◦05.7 5.6 54.01 198◦33.2 -19◦55.1 359◦34.8 11.6 24◦11.3 5.5 54.02 213◦33.1 -19◦55.6 14◦05.4 11.6 24◦16.8 5.4 54.03 228◦32.9 -19◦56.2 28◦35.9 11.5 24◦22.1 5.3 54.04 243◦32.8 -19◦56.7 43◦06.4 11.5 24◦27.4 5.2 54.05 258◦32.6 -19◦57.3 57◦36.9 11.4 24◦32.5 5.1 54.06 273◦32.5 -19◦57.8 72◦07.3 11.4 24◦37.5 5.0 54.07 288◦32.3 -19◦58.4 86◦37.6 11.3 24◦42.4 4.8 54.08 303◦32.1 -19◦58.9 101◦08.0 11.3 24◦47.2 4.7 54.09 318◦32.0 -19◦59.4 115◦38.2 11.3 24◦51.9 4.6 54.010 333◦31.8 -19◦60.0 130◦08.5 11.2 24◦56.5 4.5 54.011 348◦31.7 -20◦00.5 144◦38.7 11.2 25◦00.9 4.4 54.012 3◦31.5 -20◦01.1 159◦08.9 11.2 25◦05.3 4.3 54.013 18◦31.4 -20◦01.6 173◦39.0 11.1 25◦09.5 4.2 54.014 33◦31.2 -20◦02.2 188◦09.1 11.1 25◦13.6 4.0 54.015 48◦31.0 -20◦02.7 202◦39.2 11.0 25◦17.5 3.9 54.016 63◦30.9 -20◦03.3 217◦09.2 11.0 25◦21.4 3.8 54.017 78◦30.7 -20◦03.8 231◦39.2 11.0 25◦25.1 3.7 54.018 93◦30.6 -20◦04.3 246◦09.1 10.9 25◦28.8 3.6 54.019 108◦30.4 -20◦04.9 260◦39.1 10.9 25◦32.3 3.4 54.020 123◦30.2 -20◦05.4 275◦09.0 10.9 25◦35.7 3.3 54.021 138◦30.1 -20◦06.0 289◦38.8 10.8 25◦38.9 3.2 54.022 153◦29.9 -20◦06.5 304◦08.6 10.8 25◦42.1 3.1 54.023 168◦29.7 -20◦07.0 318◦38.4 10.8 25◦45.1 3.0 54.0

SD.=16.2 d=-0.6 S.D.=14.7

Mon GHA Dec GHA ν Dec d HP0 183◦29.6 -20◦07.6 333◦08.2 10.8 25◦48.0 2.8 54.01 198◦29.4 -20◦08.1 347◦38.0 10.7 25◦50.8 2.7 54.02 213◦29.3 -20◦08.6 2◦07.7 10.7 25◦53.4 2.6 54.03 228◦29.1 -20◦09.2 16◦37.4 10.7 25◦56.0 2.5 54.04 243◦28.9 -20◦09.7 31◦07.0 10.7 25◦58.4 2.4 54.05 258◦28.8 -20◦10.2 45◦36.7 10.6 26◦00.7 2.2 54.06 273◦28.6 -20◦10.8 60◦06.3 10.6 26◦02.8 2.1 54.07 288◦28.4 -20◦11.3 74◦35.9 10.6 26◦04.9 2.0 54.08 303◦28.3 -20◦11.8 89◦05.4 10.6 26◦06.8 1.9 54.09 318◦28.1 -20◦12.4 103◦35.0 10.5 26◦08.6 1.7 54.110 333◦27.9 -20◦12.9 118◦04.5 10.5 26◦10.2 1.6 54.111 348◦27.8 -20◦13.4 132◦34.0 10.5 26◦11.8 1.5 54.112 3◦27.6 -20◦14.0 147◦03.5 10.5 26◦13.2 1.4 54.113 18◦27.4 -20◦14.5 161◦33.0 10.5 26◦14.5 1.2 54.114 33◦27.3 -20◦15.0 176◦02.4 10.4 26◦15.7 1.1 54.115 48◦27.1 -20◦15.5 190◦31.9 10.4 26◦16.7 1.0 54.116 63◦26.9 -20◦16.1 205◦01.3 10.4 26◦17.6 0.9 54.117 78◦26.8 -20◦16.6 219◦30.7 10.4 26◦18.4 0.7 54.118 93◦26.6 -20◦17.1 234◦00.1 10.4 26◦19.1 0.6 54.119 108◦26.4 -20◦17.6 248◦29.5 10.4 26◦19.6 0.5 54.120 123◦26.2 -20◦18.2 262◦58.9 10.4 26◦20.0 0.3 54.121 138◦26.1 -20◦18.7 277◦28.3 10.4 26◦20.3 0.2 54.122 153◦25.9 -20◦19.2 291◦57.6 10.4 26◦20.5 0.1 54.123 168◦25.7 -20◦19.7 306◦27.0 10.3 26◦20.5 -0.0 54.1

SD.=16.2 d=-0.5 S.D.=14.7

Tue GHA Dec GHA ν Dec d HP0 183◦25.6 -20◦20.3 320◦56.3 10.3 26◦20.4 -0.2 54.21 198◦25.4 -20◦20.8 335◦25.7 10.3 26◦20.2 -0.3 54.22 213◦25.2 -20◦21.3 349◦55.0 10.3 26◦19.9 -0.4 54.23 228◦25.0 -20◦21.8 4◦24.3 10.3 26◦19.4 -0.5 54.24 243◦24.9 -20◦22.3 18◦53.7 10.3 26◦18.8 -0.7 54.25 258◦24.7 -20◦22.8 33◦23.0 10.3 26◦18.0 -0.8 54.26 273◦24.5 -20◦23.4 47◦52.3 10.3 26◦17.2 -0.9 54.27 288◦24.4 -20◦23.9 62◦21.6 10.3 26◦16.2 -1.0 54.28 303◦24.2 -20◦24.4 76◦51.0 10.3 26◦15.1 -1.2 54.29 318◦24.0 -20◦24.9 91◦20.3 10.3 26◦13.9 -1.3 54.210 333◦23.8 -20◦25.4 105◦49.6 10.3 26◦12.5 -1.4 54.311 348◦23.7 -20◦25.9 120◦18.9 10.3 26◦11.0 -1.6 54.312 3◦23.5 -20◦26.5 134◦48.3 10.3 26◦09.4 -1.7 54.313 18◦23.3 -20◦27.0 149◦17.6 10.3 26◦07.6 -1.8 54.314 33◦23.1 -20◦27.5 163◦47.0 10.4 26◦05.8 -1.9 54.315 48◦23.0 -20◦28.0 178◦16.3 10.4 26◦03.8 -2.1 54.316 63◦22.8 -20◦28.5 192◦45.7 10.4 26◦01.6 -2.2 54.317 78◦22.6 -20◦29.0 207◦15.1 10.4 25◦59.4 -2.3 54.318 93◦22.4 -20◦29.5 221◦44.5 10.4 25◦57.0 -2.4 54.319 108◦22.2 -20◦30.0 236◦13.8 10.4 25◦54.5 -2.6 54.420 123◦22.1 -20◦30.5 250◦43.3 10.4 25◦51.9 -2.7 54.421 138◦21.9 -20◦31.0 265◦12.7 10.4 25◦49.1 -2.8 54.422 153◦21.7 -20◦31.6 279◦42.1 10.4 25◦46.2 -2.9 54.423 168◦21.5 -20◦32.1 294◦11.5 10.5 25◦43.2 -3.1 54.4

SD.=16.2 d=-0.5 S.D.=14.8

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 07:24 09:08 –:– –:– 14:23 16:0770 07:11 08:39 10:47 12:45 14:52 16:2068 07:00 08:17 09:48 13:44 15:14 16:3166 06:51 08:00 09:14 14:17 15:31 16:4064 06:44 07:46 08:50 14:42 15:45 16:4862 06:37 07:34 08:31 15:01 15:57 16:5560 06:31 07:24 08:15 15:16 16:08 17:0158 06:25 07:15 08:02 15:30 16:17 17:0656 06:20 07:07 07:51 15:41 16:25 17:1154 06:16 06:60 07:41 15:51 16:32 17:1652 06:12 06:53 07:32 15:60 16:38 17:2050 06:08 06:48 07:24 16:08 16:44 17:2445 05:59 06:35 07:07 16:25 16:57 17:3340 05:51 06:24 06:53 16:39 17:08 17:4135 05:43 06:14 06:41 16:51 17:18 17:4930 05:36 06:05 06:31 17:01 17:27 17:5620 05:23 05:50 06:13 17:19 17:43 18:0910 05:09 05:35 05:57 17:35 17:57 18:230 04:55 05:21 05:43 17:50 18:12 18:37-10 04:39 05:05 05:28 18:05 18:27 18:54-20 04:19 04:48 05:12 18:21 18:45 19:13-30 03:55 04:26 04:53 18:40 19:06 19:38-35 03:39 04:14 04:42 18:51 19:19 19:54-40 03:19 03:58 04:29 19:03 19:35 20:14-45 02:55 03:40 04:14 19:19 19:54 20:39-50 02:20 03:16 03:56 19:37 20:18 21:14-52 02:02 03:04 03:47 19:46 20:30 21:32-54 01:39 02:50 03:38 19:56 20:44 21:56-56 01:06 02:34 03:27 20:07 20:60 22:30-58 –:– 02:15 03:14 20:20 21:20 –:–-60 –:– 01:50 02:59 20:35 21:45 –:–

Moonrise MoonsetLat. Sun Mon Tue Sun Mon Tue72 –:– –:– –:– –:– –:– –:–70 –:– –:– –:– –:– –:– –:–68 –:– –:– –:– –:– –:– –:–66 –:– –:– –:– –:– –:– –:–64 14:30 –:– 15:21 12:17 –:– 14:5662 15:21 15:49 16:47 11:27 12:43 13:3060 15:52 16:27 17:23 10:56 12:05 12:5458 16:16 16:54 17:49 10:32 11:38 12:2856 16:35 17:15 18:10 10:13 11:17 12:0754 16:51 17:32 18:27 09:58 10:59 11:5052 17:04 17:47 18:41 09:44 10:44 11:3550 17:17 18:00 18:54 09:32 10:32 11:2245 17:42 18:27 19:20 09:08 10:05 10:5640 18:02 18:48 19:41 08:48 09:44 10:3535 18:18 19:06 19:58 08:32 09:27 10:1730 18:33 19:21 20:13 08:18 09:11 10:0220 18:58 19:47 20:38 07:54 08:46 09:3710 19:19 20:09 20:60 07:33 08:24 09:150 19:39 20:29 21:20 07:14 08:03 08:54-10 19:59 20:50 21:40 06:54 07:43 08:33-20 20:21 21:12 22:02 06:34 07:21 08:11-30 20:46 21:38 22:27 06:10 06:55 07:45-35 21:01 21:54 22:42 05:56 06:40 07:30-40 21:18 22:11 22:59 05:40 06:23 07:13-45 21:38 22:33 23:20 05:21 06:02 06:51-50 22:04 22:60 23:45 04:57 05:36 06:24-52 22:17 23:13 23:58 04:45 05:23 06:11-54 22:32 23:28 –:– 04:32 05:08 05:56-56 22:49 23:46 –:– 04:17 04:51 05:38-58 23:09 –:– 00:07 03:60 04:30 05:17-60 23:35 –:– 00:35 03:38 04:04 04:49

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower21 14:14 14:06 11:45 01:01 13:26 17(96%)22 13:58 13:51 11:46 01:51 14:16 18(92%)23 13:42 13:34 11:46 02:41 15:07 19(86%)

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November 24, 25 ,26 (Wed., Thu., Fri.)Aries Venus Mars Jupiter Saturn

Wed GHA GHA Dec GHA Dec GHA Dec GHA Dec0 63◦10.3 135◦32.2 -25◦55.5 199◦00.2 -16◦32.4 95◦59.6 -14◦21.0 112◦04.3 -18◦56.21 78◦12.7 150◦32.7 -25◦55.2 214◦01.0 -16◦33.0 111◦01.8 -14◦20.9 127◦06.6 -18◦56.12 93◦15.2 165◦33.2 -25◦54.8 229◦01.7 -16◦33.5 126◦03.9 -14◦20.8 142◦08.9 -18◦56.13 108◦17.7 180◦33.6 -25◦54.4 244◦02.5 -16◦34.0 141◦06.1 -14◦20.7 157◦11.1 -18◦56.04 123◦20.1 195◦34.1 -25◦54.1 259◦03.2 -16◦34.5 156◦08.3 -14◦20.6 172◦13.4 -18◦56.05 138◦22.6 210◦34.6 -25◦53.7 274◦04.0 -16◦35.0 171◦10.5 -14◦20.5 187◦15.7 -18◦55.96 153◦25.1 225◦35.1 -25◦53.4 289◦04.8 -16◦35.5 186◦12.7 -14◦20.4 202◦18.0 -18◦55.97 168◦27.5 240◦35.6 -25◦53.0 304◦05.5 -16◦36.0 201◦14.9 -14◦20.3 217◦20.3 -18◦55.98 183◦30.0 255◦36.1 -25◦52.6 319◦06.3 -16◦36.5 216◦17.1 -14◦20.2 232◦22.6 -18◦55.89 198◦32.5 270◦36.6 -25◦52.3 334◦07.0 -16◦37.0 231◦19.2 -14◦20.1 247◦24.9 -18◦55.810 213◦34.9 285◦37.1 -25◦51.9 349◦07.8 -16◦37.6 246◦21.4 -14◦20.0 262◦27.1 -18◦55.711 228◦37.4 300◦37.6 -25◦51.6 4◦08.5 -16◦38.1 261◦23.6 -14◦19.9 277◦29.4 -18◦55.712 243◦39.9 315◦38.1 -25◦51.2 19◦09.3 -16◦38.6 276◦25.8 -14◦19.8 292◦31.7 -18◦55.613 258◦42.3 330◦38.6 -25◦50.8 34◦10.0 -16◦39.1 291◦28.0 -14◦19.7 307◦34.0 -18◦55.614 273◦44.8 345◦39.1 -25◦50.5 49◦10.8 -16◦39.6 306◦30.2 -14◦19.6 322◦36.3 -18◦55.515 288◦47.2 0◦39.6 -25◦50.1 64◦11.5 -16◦40.1 321◦32.3 -14◦19.5 337◦38.6 -18◦55.516 303◦49.7 15◦40.1 -25◦49.7 79◦12.3 -16◦40.6 336◦34.5 -14◦19.4 352◦40.9 -18◦55.417 318◦52.2 30◦40.6 -25◦49.4 94◦13.0 -16◦41.1 351◦36.7 -14◦19.3 7◦43.1 -18◦55.418 333◦54.6 45◦41.1 -25◦49.0 109◦13.8 -16◦41.6 6◦38.9 -14◦19.2 22◦45.4 -18◦55.319 348◦57.1 60◦41.6 -25◦48.6 124◦14.5 -16◦42.1 21◦41.1 -14◦19.1 37◦47.7 -18◦55.320 3◦59.6 75◦42.2 -25◦48.3 139◦15.3 -16◦42.6 36◦43.3 -14◦19.0 52◦50.0 -18◦55.321 19◦02.0 90◦42.7 -25◦47.9 154◦16.1 -16◦43.2 51◦45.4 -14◦18.9 67◦52.3 -18◦55.222 34◦04.5 105◦43.2 -25◦47.5 169◦16.8 -16◦43.7 66◦47.6 -14◦18.8 82◦54.6 -18◦55.223 49◦07.0 120◦43.7 -25◦47.2 184◦17.6 -16◦44.2 81◦49.8 -14◦18.7 97◦56.9 -18◦55.1Mer.pass.:19:44 v0.5 d0.4 m-4.4 v0.8 d-0.5 m1.6 v2.2 d0.1 m-2.2 v2.3 d0.0 m0.7

Thu GHA GHA Dec GHA Dec GHA Dec GHA Dec0 64◦09.4 135◦44.3 -25◦46.8 199◦18.3 -16◦44.7 96◦52.0 -14◦18.6 112◦59.1 -18◦55.11 79◦11.9 150◦44.8 -25◦46.4 214◦19.1 -16◦45.2 111◦54.2 -14◦18.5 128◦01.4 -18◦55.02 94◦14.3 165◦45.3 -25◦46.0 229◦19.8 -16◦45.7 126◦56.3 -14◦18.4 143◦03.7 -18◦55.03 109◦16.8 180◦45.9 -25◦45.7 244◦20.6 -16◦46.2 141◦58.5 -14◦18.3 158◦06.0 -18◦54.94 124◦19.3 195◦46.4 -25◦45.3 259◦21.3 -16◦46.7 157◦00.7 -14◦18.2 173◦08.3 -18◦54.95 139◦21.7 210◦46.9 -25◦44.9 274◦22.1 -16◦47.2 172◦02.9 -14◦18.1 188◦10.6 -18◦54.86 154◦24.2 225◦47.5 -25◦44.6 289◦22.8 -16◦47.7 187◦05.1 -14◦18.0 203◦12.8 -18◦54.87 169◦26.7 240◦48.0 -25◦44.2 304◦23.6 -16◦48.2 202◦07.2 -14◦17.9 218◦15.1 -18◦54.78 184◦29.1 255◦48.6 -25◦43.8 319◦24.3 -16◦48.7 217◦09.4 -14◦17.7 233◦17.4 -18◦54.79 199◦31.6 270◦49.1 -25◦43.4 334◦25.1 -16◦49.2 232◦11.6 -14◦17.6 248◦19.7 -18◦54.710 214◦34.1 285◦49.7 -25◦43.0 349◦25.8 -16◦49.7 247◦13.8 -14◦17.5 263◦22.0 -18◦54.611 229◦36.5 300◦50.2 -25◦42.7 4◦26.6 -16◦50.2 262◦16.0 -14◦17.4 278◦24.3 -18◦54.612 244◦39.0 315◦50.8 -25◦42.3 19◦27.3 -16◦50.7 277◦18.1 -14◦17.3 293◦26.5 -18◦54.513 259◦41.5 330◦51.3 -25◦41.9 34◦28.0 -16◦51.2 292◦20.3 -14◦17.2 308◦28.8 -18◦54.514 274◦43.9 345◦51.9 -25◦41.5 49◦28.8 -16◦51.7 307◦22.5 -14◦17.1 323◦31.1 -18◦54.415 289◦46.4 0◦52.5 -25◦41.2 64◦29.5 -16◦52.2 322◦24.7 -14◦17.0 338◦33.4 -18◦54.416 304◦48.8 15◦53.0 -25◦40.8 79◦30.3 -16◦52.8 337◦26.8 -14◦16.9 353◦35.7 -18◦54.317 319◦51.3 30◦53.6 -25◦40.4 94◦31.0 -16◦53.3 352◦29.0 -14◦16.8 8◦38.0 -18◦54.318 334◦53.8 45◦54.2 -25◦40.0 109◦31.8 -16◦53.8 7◦31.2 -14◦16.7 23◦40.2 -18◦54.219 349◦56.2 60◦54.7 -25◦39.6 124◦32.5 -16◦54.3 22◦33.4 -14◦16.6 38◦42.5 -18◦54.220 4◦58.7 75◦55.3 -25◦39.2 139◦33.3 -16◦54.8 37◦35.5 -14◦16.5 53◦44.8 -18◦54.121 20◦01.2 90◦55.9 -25◦38.9 154◦34.0 -16◦55.3 52◦37.7 -14◦16.4 68◦47.1 -18◦54.122 35◦03.6 105◦56.5 -25◦38.5 169◦34.8 -16◦55.8 67◦39.9 -14◦16.3 83◦49.4 -18◦54.023 50◦06.1 120◦57.1 -25◦38.1 184◦35.5 -16◦56.3 82◦42.1 -14◦16.2 98◦51.6 -18◦54.0Mer.pass.:19:40 v0.5 d0.4 m-4.4 v0.8 d-0.5 m1.6 v2.2 d0.1 m-2.2 v2.3 d0.0 m0.7

Fri GHA GHA Dec GHA Dec GHA Dec GHA Dec0 65◦08.6 135◦57.6 -25◦37.7 199◦36.3 -16◦56.8 97◦44.2 -14◦16.1 113◦53.9 -18◦54.01 80◦11.0 150◦58.2 -25◦37.3 214◦37.0 -16◦57.3 112◦46.4 -14◦16.0 128◦56.2 -18◦53.92 95◦13.5 165◦58.8 -25◦36.9 229◦37.8 -16◦57.8 127◦48.6 -14◦15.9 143◦58.5 -18◦53.93 110◦16.0 180◦59.4 -25◦36.5 244◦38.5 -16◦58.3 142◦50.8 -14◦15.8 159◦00.8 -18◦53.84 125◦18.4 195◦60.0 -25◦36.2 259◦39.2 -16◦58.8 157◦52.9 -14◦15.6 174◦03.0 -18◦53.85 140◦20.9 211◦00.6 -25◦35.8 274◦40.0 -16◦59.3 172◦55.1 -14◦15.5 189◦05.3 -18◦53.76 155◦23.3 226◦01.2 -25◦35.4 289◦40.7 -16◦59.8 187◦57.3 -14◦15.4 204◦07.6 -18◦53.77 170◦25.8 241◦01.8 -25◦35.0 304◦41.5 -17◦00.3 202◦59.5 -14◦15.3 219◦09.9 -18◦53.68 185◦28.3 256◦02.4 -25◦34.6 319◦42.2 -17◦00.8 218◦01.6 -14◦15.2 234◦12.2 -18◦53.69 200◦30.7 271◦03.0 -25◦34.2 334◦43.0 -17◦01.3 233◦03.8 -14◦15.1 249◦14.4 -18◦53.510 215◦33.2 286◦03.6 -25◦33.8 349◦43.7 -17◦01.8 248◦06.0 -14◦15.0 264◦16.7 -18◦53.511 230◦35.7 301◦04.2 -25◦33.4 4◦44.4 -17◦02.3 263◦08.1 -14◦14.9 279◦19.0 -18◦53.412 245◦38.1 316◦04.8 -25◦33.0 19◦45.2 -17◦02.8 278◦10.3 -14◦14.8 294◦21.3 -18◦53.413 260◦40.6 331◦05.4 -25◦32.6 34◦45.9 -17◦03.3 293◦12.5 -14◦14.7 309◦23.6 -18◦53.314 275◦43.1 346◦06.1 -25◦32.2 49◦46.7 -17◦03.8 308◦14.7 -14◦14.6 324◦25.8 -18◦53.315 290◦45.5 1◦06.7 -25◦31.8 64◦47.4 -17◦04.3 323◦16.8 -14◦14.5 339◦28.1 -18◦53.216 305◦48.0 16◦07.3 -25◦31.4 79◦48.2 -17◦04.8 338◦19.0 -14◦14.4 354◦30.4 -18◦53.217 320◦50.5 31◦07.9 -25◦31.1 94◦48.9 -17◦05.3 353◦21.2 -14◦14.3 9◦32.7 -18◦53.118 335◦52.9 46◦08.6 -25◦30.7 109◦49.6 -17◦05.8 8◦23.3 -14◦14.2 24◦35.0 -18◦53.119 350◦55.4 61◦09.2 -25◦30.3 124◦50.4 -17◦06.3 23◦25.5 -14◦14.0 39◦37.2 -18◦53.120 5◦57.8 76◦09.8 -25◦29.9 139◦51.1 -17◦06.8 38◦27.7 -14◦13.9 54◦39.5 -18◦53.021 21◦00.3 91◦10.5 -25◦29.5 154◦51.9 -17◦07.3 53◦29.8 -14◦13.8 69◦41.8 -18◦53.022 36◦02.8 106◦11.1 -25◦29.1 169◦52.6 -17◦07.8 68◦32.0 -14◦13.7 84◦44.1 -18◦52.923 51◦05.2 121◦11.7 -25◦28.7 184◦53.3 -17◦08.3 83◦34.2 -14◦13.6 99◦46.3 -18◦52.9Mer.pass.:19:36 v0.6 d0.4 m-4.5 v0.7 d-0.5 m1.6 v2.2 d0.1 m-2.2 v2.3 d0.0 m0.7

StarsSHA Dec

Alpheratz 357◦37.3 29◦12.8Ankaa 353◦09.5 -42◦11.5

Schedar 349◦33.6 56◦39.6Diphda 348◦49.6 -17◦52.1

Achernar 335◦21.7 -57◦07.8Hamal 327◦53.8 23◦34.0Polaris 314◦46.0 89◦21.4Akamar 315◦13.3 -40◦13.1Menkar 314◦08.5 4◦10.5Mirfak 308◦31.4 49◦56.3

Aldebaran 290◦42.2 16◦33.2Rigel 281◦06.0 -8◦10.6

Capella 280◦25.2 46◦01.2Bellatrix 278◦25.3 6◦22.2Elnath 278◦04.8 28◦37.5Alnilam 275◦40.0 -1◦11.3

Betelgeuse 270◦54.6 7◦24.7Canopus 263◦53.1 -52◦42.3

Sirius 258◦28.1 -16◦44.5Adara 255◦07.6 -28◦60.0

Procyon 244◦53.2 5◦10.3Pollux 243◦20.1 27◦58.3Avior 234◦15.4 -59◦34.4Suhail 222◦48.0 -43◦30.9

Miaplacidus 221◦38.4 -69◦48.0Alphard 217◦50.2 -8◦45.0Regulus 207◦37.1 11◦51.7Dubhe 193◦44.4 61◦37.8

Denebola 182◦27.6 14◦27.1Gienah 175◦46.4 -17◦39.6Acrux 173◦03.3 -63◦12.8

Gacrux 171◦54.8 -57◦13.8Alioth 166◦15.7 55◦50.4Spica 158◦25.3 -11◦16.3Alcaid 152◦54.5 49◦12.2Hadar 148◦40.2 -60◦28.4

Menkent 148◦01.0 -36◦28.4Arcturus 145◦50.4 19◦04.5

Rigil Kent. 139◦44.4 -60◦55.3Zubenelg. 136◦59.2 -16◦07.8Kochab 137◦21.0 74◦03.9

Alphecca 126◦06.3 26◦38.6Antares 112◦19.4 -26◦28.7

Atria 107◦16.5 -69◦03.9Sabik 102◦06.1 -15◦45.0

Shaula 96◦14.3 -37◦07.1Rasalhague 96◦01.3 12◦32.8

Etamin 90◦43.9 51◦29.3Kaus Aust. 83◦36.3 -34◦22.4

Vega 80◦35.4 38◦48.4Nunki 75◦51.3 -26◦16.2Altair 62◦02.7 8◦55.6

Peacock 53◦10.1 -56◦40.1Deneb 49◦27.7 45◦21.7

Enif 33◦41.4 9◦58.6Alnair 27◦36.2 -46◦51.5

Fomalhaut 15◦17.4 -29◦30.6Scheat 13◦47.7 28◦12.2Markab 13◦32.4 15◦19.4

2021/11/ SHA Mer.passVenus 72◦21.9 14:57Mars 135◦49.9 10:43

Jupiter 32◦49.3 17:33Saturn 48◦54.0 16:29

2021/11/ SHA Mer.passVenus 71◦34.8 14:57Mars 135◦08.9 10:42

Jupiter 32◦42.6 17:30Saturn 48◦49.7 16:26

2021/11/ SHA Mer.passVenus 70◦49.1 14:56Mars 134◦27.7 10:41

Jupiter 32◦35.7 17:27Saturn 48◦45.4 16:22

Horizontal paralaxVenus: 0.3Mars: 0.1

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2021 November 24 to Nov. 26

h Sun MoonWed GHA Dec GHA ν Dec d HP0 183◦21.4 -20◦32.6 308◦41.0 10.5 25◦40.1 -3.2 54.41 198◦21.2 -20◦33.1 323◦10.5 10.5 25◦36.8 -3.3 54.42 213◦21.0 -20◦33.6 337◦40.0 10.5 25◦33.5 -3.4 54.43 228◦20.8 -20◦34.1 352◦09.5 10.5 25◦29.9 -3.6 54.54 243◦20.6 -20◦34.6 6◦39.0 10.5 25◦26.3 -3.7 54.55 258◦20.5 -20◦35.1 21◦08.6 10.6 25◦22.6 -3.8 54.56 273◦20.3 -20◦35.6 35◦38.1 10.6 25◦18.7 -3.9 54.57 288◦20.1 -20◦36.1 50◦07.7 10.6 25◦14.7 -4.1 54.58 303◦19.9 -20◦36.6 64◦37.3 10.6 25◦10.6 -4.2 54.59 318◦19.7 -20◦37.1 79◦07.0 10.6 25◦06.3 -4.3 54.610 333◦19.5 -20◦37.6 93◦36.6 10.7 25◦01.9 -4.4 54.611 348◦19.4 -20◦38.1 108◦06.3 10.7 24◦57.4 -4.6 54.612 3◦19.2 -20◦38.6 122◦36.0 10.7 24◦52.8 -4.7 54.613 18◦19.0 -20◦39.1 137◦05.7 10.7 24◦48.1 -4.8 54.614 33◦18.8 -20◦39.6 151◦35.5 10.8 24◦43.2 -4.9 54.615 48◦18.6 -20◦40.1 166◦05.2 10.8 24◦38.3 -5.0 54.716 63◦18.4 -20◦40.6 180◦35.0 10.8 24◦33.2 -5.2 54.717 78◦18.3 -20◦41.1 195◦04.9 10.8 24◦27.9 -5.3 54.718 93◦18.1 -20◦41.6 209◦34.7 10.9 24◦22.6 -5.4 54.719 108◦17.9 -20◦42.0 224◦04.6 10.9 24◦17.1 -5.5 54.720 123◦17.7 -20◦42.5 238◦34.5 10.9 24◦11.6 -5.6 54.721 138◦17.5 -20◦43.0 253◦04.4 11.0 24◦05.9 -5.8 54.822 153◦17.3 -20◦43.5 267◦34.4 11.0 24◦00.1 -5.9 54.823 168◦17.1 -20◦44.0 282◦04.4 11.0 23◦54.1 -6.0 54.8

SD.=16.2 d=-0.5 S.D.=14.8

Thu GHA Dec GHA ν Dec d HP0 183◦16.9 -20◦44.5 296◦34.4 11.0 23◦48.1 -6.1 54.81 198◦16.8 -20◦45.0 311◦04.5 11.1 23◦41.9 -6.2 54.82 213◦16.6 -20◦45.5 325◦34.5 11.1 23◦35.6 -6.3 54.93 228◦16.4 -20◦46.0 340◦04.7 11.1 23◦29.2 -6.5 54.94 243◦16.2 -20◦46.5 354◦34.8 11.2 23◦22.7 -6.6 54.95 258◦16.0 -20◦46.9 9◦05.0 11.2 23◦16.1 -6.7 54.96 273◦15.8 -20◦47.4 23◦35.2 11.2 23◦09.4 -6.8 54.97 288◦15.6 -20◦47.9 38◦05.4 11.3 23◦02.5 -6.9 55.08 303◦15.4 -20◦48.4 52◦35.7 11.3 22◦55.5 -7.0 55.09 318◦15.2 -20◦48.9 67◦06.0 11.3 22◦48.4 -7.1 55.010 333◦15.1 -20◦49.4 81◦36.4 11.4 22◦41.2 -7.3 55.011 348◦14.9 -20◦49.8 96◦06.7 11.4 22◦33.9 -7.4 55.112 3◦14.7 -20◦50.3 110◦37.1 11.4 22◦26.5 -7.5 55.113 18◦14.5 -20◦50.8 125◦07.6 11.5 22◦19.0 -7.6 55.114 33◦14.3 -20◦51.3 139◦38.1 11.5 22◦11.3 -7.7 55.115 48◦14.1 -20◦51.8 154◦08.6 11.5 22◦03.6 -7.8 55.116 63◦13.9 -20◦52.2 168◦39.1 11.6 21◦55.7 -7.9 55.217 78◦13.7 -20◦52.7 183◦09.7 11.6 21◦47.8 -8.0 55.218 93◦13.5 -20◦53.2 197◦40.3 11.6 21◦39.7 -8.1 55.219 108◦13.3 -20◦53.7 212◦10.9 11.7 21◦31.5 -8.2 55.220 123◦13.1 -20◦54.2 226◦41.6 11.7 21◦23.2 -8.3 55.321 138◦12.9 -20◦54.6 241◦12.3 11.7 21◦14.8 -8.5 55.322 153◦12.7 -20◦55.1 255◦43.1 11.8 21◦06.3 -8.6 55.323 168◦12.5 -20◦55.6 270◦13.8 11.8 20◦57.7 -8.7 55.3

SD.=16.2 d=-0.5 S.D.=15.0

Fri GHA Dec GHA ν Dec d HP0 183◦12.3 -20◦56.1 284◦44.6 11.8 20◦49.0 -8.8 55.41 198◦12.1 -20◦56.5 299◦15.5 11.9 20◦40.2 -8.9 55.42 213◦12.0 -20◦57.0 313◦46.4 11.9 20◦31.2 -9.0 55.43 228◦11.8 -20◦57.5 328◦17.3 11.9 20◦22.2 -9.1 55.44 243◦11.6 -20◦57.9 342◦48.2 12.0 20◦13.1 -9.2 55.55 258◦11.4 -20◦58.4 357◦19.2 12.0 20◦03.9 -9.3 55.56 273◦11.2 -20◦58.9 11◦50.2 12.0 19◦54.5 -9.4 55.57 288◦11.0 -20◦59.3 26◦21.3 12.1 19◦45.1 -9.5 55.58 303◦10.8 -20◦59.8 40◦52.3 12.1 19◦35.6 -9.6 55.69 318◦10.6 -21◦00.3 55◦23.5 12.1 19◦25.9 -9.7 55.610 333◦10.4 -21◦00.8 69◦54.6 12.2 19◦16.2 -9.8 55.611 348◦10.2 -21◦01.2 84◦25.8 12.2 19◦06.4 -9.9 55.712 3◦10.0 -21◦01.7 98◦57.0 12.2 18◦56.4 -10.0 55.713 18◦09.8 -21◦02.1 113◦28.2 12.3 18◦46.4 -10.1 55.714 33◦09.6 -21◦02.6 127◦59.5 12.3 18◦36.3 -10.2 55.715 48◦09.4 -21◦03.1 142◦30.8 12.3 18◦26.1 -10.3 55.816 63◦09.2 -21◦03.5 157◦02.1 12.3 18◦15.7 -10.4 55.817 78◦09.0 -21◦04.0 171◦33.5 12.4 18◦05.3 -10.5 55.818 93◦08.8 -21◦04.5 186◦04.9 12.4 17◦54.8 -10.5 55.919 108◦08.6 -21◦04.9 200◦36.3 12.4 17◦44.2 -10.6 55.920 123◦08.4 -21◦05.4 215◦07.7 12.5 17◦33.6 -10.7 55.921 138◦08.2 -21◦05.8 229◦39.2 12.5 17◦22.8 -10.8 56.022 153◦08.0 -21◦06.3 244◦10.7 12.5 17◦11.9 -10.9 56.023 168◦07.8 -21◦06.8 258◦42.2 12.5 17◦01.0 -11.0 56.0

SD.=16.2 d=-0.5 S.D.=15.1

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 07:34 09:23 –:– –:– 14:10 15:5970 07:20 08:50 –:– –:– 14:43 16:1368 07:08 08:27 10:04 13:30 15:06 16:2566 06:58 08:08 09:26 14:08 15:25 16:3564 06:50 07:53 08:59 14:34 15:40 16:4362 06:43 07:41 08:39 14:55 15:53 16:5160 06:36 07:30 08:22 15:11 16:03 16:5758 06:30 07:21 08:08 15:25 16:13 17:0356 06:25 07:12 07:56 15:37 16:21 17:0854 06:20 07:05 07:46 15:48 16:29 17:1352 06:16 06:58 07:37 15:57 16:36 17:1850 06:11 06:52 07:28 16:05 16:42 17:2245 06:02 06:38 07:11 16:23 16:55 17:3240 05:53 06:27 06:56 16:37 17:07 17:4035 05:46 06:17 06:44 16:50 17:17 17:4830 05:38 06:08 06:33 17:00 17:26 17:5520 05:24 05:51 06:15 17:19 17:43 18:1010 05:10 05:36 05:59 17:35 17:58 18:240 04:56 05:21 05:43 17:51 18:13 18:39-10 04:39 05:05 05:28 18:06 18:29 18:55-20 04:19 04:47 05:11 18:23 18:47 19:15-30 03:53 04:25 04:52 18:42 19:09 19:41-35 03:37 04:12 04:41 18:54 19:22 19:58-40 03:17 03:56 04:28 19:07 19:38 20:18-45 02:51 03:37 04:12 19:22 19:58 20:44-50 02:15 03:12 03:53 19:42 20:23 21:20-52 01:56 02:60 03:44 19:51 20:36 21:40-54 01:30 02:45 03:34 20:01 20:50 22:06-56 00:53 02:28 03:22 20:13 21:07 22:46-58 –:– 02:08 03:09 20:27 21:29 –:–-60 –:– 01:40 02:53 20:43 21:57 –:–

Moonrise MoonsetLat. Wed Thu Fri Wed Thu Fri72 –:– –:– 18:15 –:– –:– 17:1570 –:– –:– 19:38 –:– –:– 15:4968 –:– 17:33 20:17 –:– 16:13 15:1066 –:– 18:43 20:43 –:– 15:03 14:4264 17:29 19:18 21:03 14:34 14:27 14:2162 18:10 19:44 21:20 13:52 14:00 14:0460 18:38 20:04 21:33 13:23 13:40 13:5058 18:60 20:20 21:45 13:01 13:23 13:3756 19:18 20:34 21:55 12:43 13:09 13:2754 19:33 20:46 22:03 12:28 12:56 13:1752 19:45 20:56 22:11 12:15 12:45 13:0950 19:57 21:06 22:18 12:03 12:35 13:0145 20:20 21:25 22:33 11:39 12:15 12:4540 20:39 21:41 22:46 11:19 11:58 12:3135 20:55 21:55 22:56 11:03 11:44 12:2030 21:09 22:06 23:05 10:49 11:31 12:1020 21:32 22:26 23:21 10:25 11:10 11:5210 21:52 22:43 23:34 10:04 10:52 11:370 22:10 22:60 23:47 09:45 10:34 11:23-10 22:29 23:15 23:60 09:25 10:17 11:08-20 22:49 23:33 –:– 09:04 09:58 10:53-30 23:12 23:52 –:– 08:39 09:36 10:35-35 23:25 –:– 00:03 08:25 09:23 10:24-40 23:41 –:– 00:16 08:08 09:09 10:12-45 23:59 –:– 00:32 07:48 08:51 09:58-50 –:– 00:22 00:50 07:23 08:29 09:40-52 –:– 00:33 00:59 07:11 08:19 09:32-54 00:12 00:45 01:09 06:57 08:07 09:23-56 00:29 00:59 01:20 06:40 07:53 09:12-58 00:49 01:16 01:33 06:20 07:37 08:60-60 01:14 01:35 01:48 05:56 07:18 08:46

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower24 13:26 13:17 11:46 03:32 15:57 20(78%)25 13:08 12:59 11:47 04:22 16:46 21(70%)26 12:50 12:40 11:47 05:11 17:34 22(60%)

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November 27, 28 ,29 (Sat., Sun., Mon.)Aries Venus Mars Jupiter Saturn

Sat GHA GHA Dec GHA Dec GHA Dec GHA Dec0 66◦07.7 136◦12.4 -25◦28.3 199◦54.1 -17◦08.7 98◦36.4 -14◦13.5 114◦48.6 -18◦52.81 81◦10.2 151◦13.0 -25◦27.9 214◦54.8 -17◦09.2 113◦38.5 -14◦13.4 129◦50.9 -18◦52.82 96◦12.6 166◦13.7 -25◦27.5 229◦55.6 -17◦09.7 128◦40.7 -14◦13.3 144◦53.2 -18◦52.73 111◦15.1 181◦14.3 -25◦27.1 244◦56.3 -17◦10.2 143◦42.9 -14◦13.2 159◦55.5 -18◦52.74 126◦17.6 196◦15.0 -25◦26.7 259◦57.0 -17◦10.7 158◦45.0 -14◦13.1 174◦57.7 -18◦52.65 141◦20.0 211◦15.6 -25◦26.3 274◦57.8 -17◦11.2 173◦47.2 -14◦13.0 190◦00.0 -18◦52.66 156◦22.5 226◦16.3 -25◦25.9 289◦58.5 -17◦11.7 188◦49.4 -14◦12.9 205◦02.3 -18◦52.57 171◦24.9 241◦16.9 -25◦25.5 304◦59.3 -17◦12.2 203◦51.5 -14◦12.8 220◦04.6 -18◦52.58 186◦27.4 256◦17.6 -25◦25.0 320◦00.0 -17◦12.7 218◦53.7 -14◦12.6 235◦06.8 -18◦52.49 201◦29.9 271◦18.3 -25◦24.6 335◦00.7 -17◦13.2 233◦55.9 -14◦12.5 250◦09.1 -18◦52.410 216◦32.3 286◦18.9 -25◦24.2 350◦01.5 -17◦13.7 248◦58.0 -14◦12.4 265◦11.4 -18◦52.311 231◦34.8 301◦19.6 -25◦23.8 5◦02.2 -17◦14.2 264◦00.2 -14◦12.3 280◦13.7 -18◦52.312 246◦37.3 316◦20.3 -25◦23.4 20◦03.0 -17◦14.7 279◦02.4 -14◦12.2 295◦15.9 -18◦52.213 261◦39.7 331◦20.9 -25◦23.0 35◦03.7 -17◦15.2 294◦04.5 -14◦12.1 310◦18.2 -18◦52.214 276◦42.2 346◦21.6 -25◦22.6 50◦04.4 -17◦15.7 309◦06.7 -14◦12.0 325◦20.5 -18◦52.115 291◦44.7 1◦22.3 -25◦22.2 65◦05.2 -17◦16.2 324◦08.8 -14◦11.9 340◦22.8 -18◦52.116 306◦47.1 16◦23.0 -25◦21.8 80◦05.9 -17◦16.7 339◦11.0 -14◦11.8 355◦25.1 -18◦52.017 321◦49.6 31◦23.7 -25◦21.4 95◦06.6 -17◦17.2 354◦13.2 -14◦11.7 10◦27.3 -18◦52.018 336◦52.1 46◦24.3 -25◦21.0 110◦07.4 -17◦17.6 9◦15.3 -14◦11.6 25◦29.6 -18◦51.919 351◦54.5 61◦25.0 -25◦20.6 125◦08.1 -17◦18.1 24◦17.5 -14◦11.4 40◦31.9 -18◦51.920 6◦57.0 76◦25.7 -25◦20.1 140◦08.8 -17◦18.6 39◦19.7 -14◦11.3 55◦34.2 -18◦51.821 21◦59.4 91◦26.4 -25◦19.7 155◦09.6 -17◦19.1 54◦21.8 -14◦11.2 70◦36.4 -18◦51.822 37◦01.9 106◦27.1 -25◦19.3 170◦10.3 -17◦19.6 69◦24.0 -14◦11.1 85◦38.7 -18◦51.723 52◦04.4 121◦27.8 -25◦18.9 185◦11.1 -17◦20.1 84◦26.2 -14◦11.0 100◦41.0 -18◦51.7Mer.pass.:19:32 v0.6 d0.4 m-4.5 v0.7 d-0.5 m1.6 v2.2 d0.1 m-2.2 v2.3 d0.0 m0.7

Sun GHA GHA Dec GHA Dec GHA Dec GHA Dec0 67◦06.8 136◦28.5 -25◦18.5 200◦11.8 -17◦20.6 99◦28.3 -14◦10.9 115◦43.3 -18◦51.71 82◦09.3 151◦29.2 -25◦18.1 215◦12.5 -17◦21.1 114◦30.5 -14◦10.8 130◦45.5 -18◦51.62 97◦11.8 166◦29.9 -25◦17.7 230◦13.3 -17◦21.6 129◦32.6 -14◦10.7 145◦47.8 -18◦51.63 112◦14.2 181◦30.6 -25◦17.3 245◦14.0 -17◦22.1 144◦34.8 -14◦10.6 160◦50.1 -18◦51.54 127◦16.7 196◦31.3 -25◦16.8 260◦14.7 -17◦22.6 159◦37.0 -14◦10.5 175◦52.3 -18◦51.55 142◦19.2 211◦32.1 -25◦16.4 275◦15.5 -17◦23.0 174◦39.1 -14◦10.3 190◦54.6 -18◦51.46 157◦21.6 226◦32.8 -25◦16.0 290◦16.2 -17◦23.5 189◦41.3 -14◦10.2 205◦56.9 -18◦51.47 172◦24.1 241◦33.5 -25◦15.6 305◦16.9 -17◦24.0 204◦43.4 -14◦10.1 220◦59.2 -18◦51.38 187◦26.6 256◦34.2 -25◦15.2 320◦17.7 -17◦24.5 219◦45.6 -14◦10.0 236◦01.4 -18◦51.39 202◦29.0 271◦34.9 -25◦14.8 335◦18.4 -17◦25.0 234◦47.8 -14◦09.9 251◦03.7 -18◦51.210 217◦31.5 286◦35.7 -25◦14.3 350◦19.1 -17◦25.5 249◦49.9 -14◦09.8 266◦06.0 -18◦51.211 232◦33.9 301◦36.4 -25◦13.9 5◦19.9 -17◦26.0 264◦52.1 -14◦09.7 281◦08.3 -18◦51.112 247◦36.4 316◦37.1 -25◦13.5 20◦20.6 -17◦26.5 279◦54.2 -14◦09.6 296◦10.5 -18◦51.113 262◦38.9 331◦37.9 -25◦13.1 35◦21.3 -17◦27.0 294◦56.4 -14◦09.5 311◦12.8 -18◦51.014 277◦41.3 346◦38.6 -25◦12.7 50◦22.1 -17◦27.4 309◦58.6 -14◦09.3 326◦15.1 -18◦51.015 292◦43.8 1◦39.3 -25◦12.2 65◦22.8 -17◦27.9 325◦00.7 -14◦09.2 341◦17.4 -18◦50.916 307◦46.3 16◦40.1 -25◦11.8 80◦23.5 -17◦28.4 340◦02.9 -14◦09.1 356◦19.6 -18◦50.917 322◦48.7 31◦40.8 -25◦11.4 95◦24.2 -17◦28.9 355◦05.0 -14◦09.0 11◦21.9 -18◦50.818 337◦51.2 46◦41.6 -25◦11.0 110◦25.0 -17◦29.4 10◦07.2 -14◦08.9 26◦24.2 -18◦50.819 352◦53.7 61◦42.3 -25◦10.5 125◦25.7 -17◦29.9 25◦09.3 -14◦08.8 41◦26.4 -18◦50.720 7◦56.1 76◦43.1 -25◦10.1 140◦26.4 -17◦30.4 40◦11.5 -14◦08.7 56◦28.7 -18◦50.721 22◦58.6 91◦43.8 -25◦09.7 155◦27.2 -17◦30.9 55◦13.7 -14◦08.6 71◦31.0 -18◦50.622 38◦01.0 106◦44.6 -25◦09.3 170◦27.9 -17◦31.3 70◦15.8 -14◦08.5 86◦33.3 -18◦50.623 53◦03.5 121◦45.4 -25◦08.8 185◦28.6 -17◦31.8 85◦18.0 -14◦08.3 101◦35.5 -18◦50.5Mer.pass.:19:28 v0.7 d0.4 m-4.5 v0.7 d-0.5 m1.6 v2.2 d0.1 m-2.2 v2.3 d0.0 m0.7

Mon GHA GHA Dec GHA Dec GHA Dec GHA Dec0 68◦06.0 136◦46.1 -25◦08.4 200◦29.4 -17◦32.3 100◦20.1 -14◦08.2 116◦37.8 -18◦50.51 83◦08.4 151◦46.9 -25◦08.0 215◦30.1 -17◦32.8 115◦22.3 -14◦08.1 131◦40.1 -18◦50.42 98◦10.9 166◦47.7 -25◦07.6 230◦30.8 -17◦33.3 130◦24.4 -14◦08.0 146◦42.3 -18◦50.43 113◦13.4 181◦48.4 -25◦07.1 245◦31.5 -17◦33.8 145◦26.6 -14◦07.9 161◦44.6 -18◦50.34 128◦15.8 196◦49.2 -25◦06.7 260◦32.3 -17◦34.2 160◦28.8 -14◦07.8 176◦46.9 -18◦50.35 143◦18.3 211◦50.0 -25◦06.3 275◦33.0 -17◦34.7 175◦30.9 -14◦07.7 191◦49.2 -18◦50.26 158◦20.8 226◦50.8 -25◦05.8 290◦33.7 -17◦35.2 190◦33.1 -14◦07.6 206◦51.4 -18◦50.27 173◦23.2 241◦51.5 -25◦05.4 305◦34.5 -17◦35.7 205◦35.2 -14◦07.4 221◦53.7 -18◦50.18 188◦25.7 256◦52.3 -25◦05.0 320◦35.2 -17◦36.2 220◦37.4 -14◦07.3 236◦56.0 -18◦50.19 203◦28.2 271◦53.1 -25◦04.6 335◦35.9 -17◦36.7 235◦39.5 -14◦07.2 251◦58.2 -18◦50.010 218◦30.6 286◦53.9 -25◦04.1 350◦36.6 -17◦37.2 250◦41.7 -14◦07.1 267◦00.5 -18◦50.011 233◦33.1 301◦54.7 -25◦03.7 5◦37.4 -17◦37.6 265◦43.8 -14◦07.0 282◦02.8 -18◦49.912 248◦35.5 316◦55.5 -25◦03.3 20◦38.1 -17◦38.1 280◦46.0 -14◦06.9 297◦05.0 -18◦49.913 263◦38.0 331◦56.3 -25◦02.8 35◦38.8 -17◦38.6 295◦48.1 -14◦06.8 312◦07.3 -18◦49.814 278◦40.5 346◦57.1 -25◦02.4 50◦39.5 -17◦39.1 310◦50.3 -14◦06.6 327◦09.6 -18◦49.815 293◦42.9 1◦57.9 -25◦02.0 65◦40.3 -17◦39.6 325◦52.4 -14◦06.5 342◦11.9 -18◦49.716 308◦45.4 16◦58.7 -25◦01.5 80◦41.0 -17◦40.0 340◦54.6 -14◦06.4 357◦14.1 -18◦49.717 323◦47.9 31◦59.5 -25◦01.1 95◦41.7 -17◦40.5 355◦56.7 -14◦06.3 12◦16.4 -18◦49.618 338◦50.3 47◦00.3 -25◦00.7 110◦42.4 -17◦41.0 10◦58.9 -14◦06.2 27◦18.7 -18◦49.619 353◦52.8 62◦01.1 -25◦00.2 125◦43.2 -17◦41.5 26◦01.0 -14◦06.1 42◦20.9 -18◦49.520 8◦55.3 77◦01.9 -24◦59.8 140◦43.9 -17◦42.0 41◦03.2 -14◦06.0 57◦23.2 -18◦49.521 23◦57.7 92◦02.8 -24◦59.3 155◦44.6 -17◦42.4 56◦05.3 -14◦05.9 72◦25.5 -18◦49.422 39◦00.2 107◦03.6 -24◦58.9 170◦45.3 -17◦42.9 71◦07.5 -14◦05.7 87◦27.7 -18◦49.423 54◦02.7 122◦04.4 -24◦58.5 185◦46.1 -17◦43.4 86◦09.6 -14◦05.6 102◦30.0 -18◦49.3Mer.pass.:19:24 v0.8 d0.4 m-4.5 v0.7 d-0.5 m1.6 v2.2 d0.1 m-2.2 v2.3 d0.0 m0.7

StarsSHA Dec

Alpheratz 357◦37.3 29◦12.8Ankaa 353◦09.5 -42◦11.5

Schedar 349◦33.6 56◦39.6Diphda 348◦49.6 -17◦52.1

Achernar 335◦21.7 -57◦07.8Hamal 327◦53.8 23◦34.0Polaris 314◦46.4 89◦21.4Akamar 315◦13.3 -40◦13.1Menkar 314◦08.5 4◦10.5Mirfak 308◦31.4 49◦56.3

Aldebaran 290◦42.2 16◦33.2Rigel 281◦06.0 -8◦10.6

Capella 280◦25.2 46◦01.2Bellatrix 278◦25.3 6◦22.2Elnath 278◦04.8 28◦37.5Alnilam 275◦40.0 -1◦11.3

Betelgeuse 270◦54.6 7◦24.7Canopus 263◦53.0 -52◦42.3

Sirius 258◦28.1 -16◦44.5Adara 255◦07.6 -28◦60.0

Procyon 244◦53.2 5◦10.3Pollux 243◦20.1 27◦58.3Avior 234◦15.4 -59◦34.4Suhail 222◦48.0 -43◦30.9

Miaplacidus 221◦38.4 -69◦48.0Alphard 217◦50.2 -8◦45.0Regulus 207◦37.1 11◦51.7Dubhe 193◦44.3 61◦37.8

Denebola 182◦27.6 14◦27.1Gienah 175◦46.3 -17◦39.6Acrux 173◦03.3 -63◦12.8

Gacrux 171◦54.8 -57◦13.8Alioth 166◦15.7 55◦50.4Spica 158◦25.2 -11◦16.3Alcaid 152◦54.5 49◦12.2Hadar 148◦40.2 -60◦28.4

Menkent 148◦01.0 -36◦28.4Arcturus 145◦50.4 19◦04.5

Rigil Kent. 139◦44.4 -60◦55.3Zubenelg. 136◦59.2 -16◦07.8Kochab 137◦20.9 74◦03.9

Alphecca 126◦06.3 26◦38.6Antares 112◦19.4 -26◦28.7

Atria 107◦16.4 -69◦03.9Sabik 102◦06.1 -15◦45.0

Shaula 96◦14.3 -37◦07.1Rasalhague 96◦01.3 12◦32.8

Etamin 90◦43.9 51◦29.3Kaus Aust. 83◦36.3 -34◦22.4

Vega 80◦35.4 38◦48.3Nunki 75◦51.3 -26◦16.2Altair 62◦02.8 8◦55.6

Peacock 53◦10.1 -56◦40.1Deneb 49◦27.7 45◦21.7

Enif 33◦41.4 9◦58.6Alnair 27◦36.3 -46◦51.5

Fomalhaut 15◦17.4 -29◦30.6Scheat 13◦47.7 28◦12.2Markab 13◦32.4 15◦19.4

2021/11/ SHA Mer.passVenus 70◦04.7 14:55Mars 133◦46.4 10:40

Jupiter 32◦28.7 17:23Saturn 48◦40.9 16:18

2021/11/ SHA Mer.passVenus 69◦21.7 14:53Mars 133◦04.9 10:39

Jupiter 32◦21.5 17:20Saturn 48◦36.4 16:15

2021/11/ SHA Mer.passVenus 68◦40.1 14:52Mars 132◦23.4 10:38

Jupiter 32◦14.2 17:16Saturn 48◦31.8 16:11

Horizontal paralaxVenus: 0.3Mars: 0.1

222

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2021 November 27 to Nov. 29

h Sun MoonSat GHA Dec GHA ν Dec d HP0 183◦07.6 -21◦07.2 273◦13.8 12.6 16◦49.9 -11.1 56.01 198◦07.4 -21◦07.7 287◦45.4 12.6 16◦38.8 -11.2 56.12 213◦07.1 -21◦08.1 302◦17.0 12.6 16◦27.5 -11.3 56.13 228◦06.9 -21◦08.6 316◦48.6 12.6 16◦16.2 -11.4 56.14 243◦06.7 -21◦09.0 331◦20.3 12.7 16◦04.8 -11.4 56.25 258◦06.5 -21◦09.5 345◦52.0 12.7 15◦53.3 -11.5 56.26 273◦06.3 -21◦09.9 0◦23.7 12.7 15◦41.8 -11.6 56.27 288◦06.1 -21◦10.4 14◦55.4 12.7 15◦30.1 -11.7 56.38 303◦05.9 -21◦10.8 29◦27.2 12.8 15◦18.4 -11.8 56.39 318◦05.7 -21◦11.3 43◦58.9 12.8 15◦06.5 -11.9 56.310 333◦05.5 -21◦11.7 58◦30.7 12.8 14◦54.6 -12.0 56.411 348◦05.3 -21◦12.2 73◦02.5 12.8 14◦42.6 -12.0 56.412 3◦05.1 -21◦12.6 87◦34.4 12.8 14◦30.5 -12.1 56.413 18◦04.9 -21◦13.1 102◦06.2 12.9 14◦18.4 -12.2 56.514 33◦04.7 -21◦13.5 116◦38.1 12.9 14◦06.2 -12.3 56.515 48◦04.5 -21◦14.0 131◦10.0 12.9 13◦53.8 -12.4 56.516 63◦04.3 -21◦14.4 145◦41.9 12.9 13◦41.5 -12.4 56.617 78◦04.0 -21◦14.9 160◦13.8 12.9 13◦29.0 -12.5 56.618 93◦03.8 -21◦15.3 174◦45.8 12.9 13◦16.4 -12.6 56.619 108◦03.6 -21◦15.8 189◦17.7 13.0 13◦03.8 -12.7 56.720 123◦03.4 -21◦16.2 203◦49.7 13.0 12◦51.1 -12.7 56.721 138◦03.2 -21◦16.7 218◦21.7 13.0 12◦38.3 -12.8 56.822 153◦03.0 -21◦17.1 232◦53.7 13.0 12◦25.5 -12.9 56.823 168◦02.8 -21◦17.5 247◦25.7 13.0 12◦12.6 -13.0 56.8

SD.=16.2 d=-0.5 S.D.=15.3

Sun GHA Dec GHA ν Dec d HP0 183◦02.6 -21◦18.0 261◦57.7 13.0 11◦59.6 -13.0 56.91 198◦02.4 -21◦18.4 276◦29.7 13.0 11◦46.5 -13.1 56.92 213◦02.2 -21◦18.9 291◦01.7 13.0 11◦33.4 -13.2 56.93 228◦01.9 -21◦19.3 305◦33.8 13.0 11◦20.2 -13.2 57.04 243◦01.7 -21◦19.7 320◦05.8 13.1 11◦06.9 -13.3 57.05 258◦01.5 -21◦20.2 334◦37.9 13.1 10◦53.6 -13.4 57.06 273◦01.3 -21◦20.6 349◦09.9 13.1 10◦40.1 -13.4 57.17 288◦01.1 -21◦21.0 3◦42.0 13.1 10◦26.7 -13.5 57.18 303◦00.9 -21◦21.5 18◦14.1 13.1 10◦13.1 -13.6 57.29 318◦00.7 -21◦21.9 32◦46.1 13.1 9◦59.5 -13.6 57.210 333◦00.5 -21◦22.3 47◦18.2 13.1 9◦45.8 -13.7 57.211 348◦00.2 -21◦22.8 61◦50.3 13.1 9◦32.1 -13.8 57.312 3◦00.0 -21◦23.2 76◦22.3 13.1 9◦18.3 -13.8 57.313 17◦59.8 -21◦23.6 90◦54.4 13.1 9◦04.4 -13.9 57.314 32◦59.6 -21◦24.1 105◦26.5 13.1 8◦50.5 -14.0 57.415 47◦59.4 -21◦24.5 119◦58.5 13.1 8◦36.5 -14.0 57.416 62◦59.2 -21◦24.9 134◦30.6 13.1 8◦22.5 -14.1 57.517 77◦58.9 -21◦25.4 149◦02.6 13.0 8◦08.4 -14.1 57.518 92◦58.7 -21◦25.8 163◦34.7 13.0 7◦54.2 -14.2 57.519 107◦58.5 -21◦26.2 178◦06.7 13.0 7◦40.0 -14.2 57.620 122◦58.3 -21◦26.6 192◦38.8 13.0 7◦25.8 -14.3 57.621 137◦58.1 -21◦27.1 207◦10.8 13.0 7◦11.4 -14.4 57.722 152◦57.9 -21◦27.5 221◦42.8 13.0 6◦57.1 -14.4 57.723 167◦57.6 -21◦27.9 236◦14.8 13.0 6◦42.6 -14.5 57.7

SD.=16.2 d=-0.4 S.D.=15.5

Mon GHA Dec GHA ν Dec d HP0 182◦57.4 -21◦28.3 250◦46.8 13.0 6◦28.1 -14.5 57.81 197◦57.2 -21◦28.8 265◦18.7 13.0 6◦13.6 -14.6 57.82 212◦57.0 -21◦29.2 279◦50.7 12.9 5◦59.0 -14.6 57.93 227◦56.8 -21◦29.6 294◦22.6 12.9 5◦44.4 -14.7 57.94 242◦56.5 -21◦30.0 308◦54.6 12.9 5◦29.7 -14.7 57.95 257◦56.3 -21◦30.5 323◦26.5 12.9 5◦15.0 -14.7 58.06 272◦56.1 -21◦30.9 337◦58.4 12.9 5◦00.2 -14.8 58.07 287◦55.9 -21◦31.3 352◦30.2 12.9 4◦45.4 -14.8 58.18 302◦55.7 -21◦31.7 7◦02.1 12.8 4◦30.5 -14.9 58.19 317◦55.4 -21◦32.1 21◦33.9 12.8 4◦15.6 -14.9 58.110 332◦55.2 -21◦32.5 36◦05.7 12.8 4◦00.7 -15.0 58.211 347◦55.0 -21◦33.0 50◦37.4 12.8 3◦45.7 -15.0 58.212 2◦54.8 -21◦33.4 65◦09.2 12.7 3◦30.7 -15.0 58.313 17◦54.6 -21◦33.8 79◦40.9 12.7 3◦15.6 -15.1 58.314 32◦54.3 -21◦34.2 94◦12.6 12.7 3◦00.5 -15.1 58.315 47◦54.1 -21◦34.6 108◦44.2 12.6 2◦45.4 -15.2 58.416 62◦53.9 -21◦35.0 123◦15.9 12.6 2◦30.2 -15.2 58.417 77◦53.7 -21◦35.4 137◦47.4 12.6 2◦15.0 -15.2 58.518 92◦53.4 -21◦35.9 152◦19.0 12.5 1◦59.8 -15.3 58.519 107◦53.2 -21◦36.3 166◦50.5 12.5 1◦44.5 -15.3 58.520 122◦53.0 -21◦36.7 181◦22.0 12.5 1◦29.2 -15.3 58.621 137◦52.8 -21◦37.1 195◦53.5 12.4 1◦13.9 -15.3 58.622 152◦52.5 -21◦37.5 210◦24.9 12.4 0◦58.5 -15.4 58.723 167◦52.3 -21◦37.9 224◦56.2 12.3 0◦43.1 -15.4 58.7

SD.=16.2 d=-0.4 S.D.=15.8

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 07:43 09:37 –:– –:– 13:58 15:5270 07:28 09:01 –:– –:– 14:34 16:0868 07:15 08:36 10:20 13:16 14:60 16:2066 07:05 08:16 09:37 13:59 15:19 16:3064 06:56 08:00 09:08 14:27 15:35 16:3962 06:48 07:47 08:46 14:49 15:48 16:4760 06:41 07:36 08:29 15:07 15:60 16:5458 06:35 07:26 08:14 15:21 16:10 17:0056 06:29 07:17 08:02 15:34 16:19 17:0654 06:24 07:09 07:51 15:45 16:26 17:1152 06:20 07:02 07:41 15:54 16:33 17:1650 06:15 06:56 07:33 16:03 16:40 17:2045 06:05 06:42 07:15 16:21 16:54 17:3040 05:56 06:30 06:60 16:36 17:06 17:3935 05:48 06:19 06:47 16:49 17:16 17:4830 05:41 06:10 06:36 16:60 17:26 17:5520 05:26 05:53 06:17 17:19 17:43 18:1010 05:12 05:38 06:00 17:36 17:58 18:240 04:56 05:22 05:44 17:52 18:14 18:40-10 04:39 05:06 05:28 18:08 18:30 18:57-20 04:19 04:47 05:11 18:25 18:49 19:18-30 03:52 04:25 04:52 18:45 19:12 19:44-35 03:36 04:11 04:40 18:56 19:25 20:01-40 03:15 03:55 04:26 19:10 19:42 20:22-45 02:48 03:35 04:10 19:26 20:02 20:49-50 02:11 03:09 03:51 19:46 20:28 21:27-52 01:50 02:56 03:41 19:56 20:41 21:48-54 01:22 02:41 03:31 20:06 20:56 22:16-56 00:37 02:23 03:18 20:19 21:14 23:05-58 –:– 02:01 03:04 20:33 21:37 –:–-60 –:– 01:31 02:48 20:50 22:08 –:–

Moonrise MoonsetLat. Sat Sun Mon Sat Sun Mon72 21:38 23:57 –:– 15:30 14:50 14:1870 22:01 –:– 00:06 15:05 14:37 14:1568 22:19 –:– 00:14 14:45 14:27 14:1166 22:33 –:– 00:21 14:29 14:19 14:0964 22:45 –:– 00:26 14:16 14:11 14:0762 22:55 –:– 00:31 14:05 14:05 14:0560 23:04 –:– 00:35 13:56 13:60 14:0358 23:11 –:– 00:38 13:47 13:55 14:0156 23:17 –:– 00:41 13:40 13:51 14:0054 23:23 –:– 00:44 13:33 13:47 13:5952 23:28 –:– 00:47 13:27 13:43 13:5850 23:33 –:– 00:49 13:22 13:40 13:5745 23:43 –:– 00:54 13:10 13:33 13:5440 23:51 –:– 00:58 13:00 13:27 13:5235 23:58 –:– 01:02 12:52 13:22 13:5130 –:– 00:05 01:05 12:45 13:17 13:4920 –:– 00:16 01:11 12:32 13:09 13:4710 –:– 00:25 01:15 12:20 13:02 13:440 –:– 00:34 01:20 12:10 12:56 13:42-10 –:– 00:42 01:24 11:59 12:49 13:40-20 00:13 00:52 01:29 11:47 12:42 13:37-30 00:29 01:02 01:35 11:34 12:34 13:35-35 00:37 01:08 01:38 11:26 12:29 13:33-40 00:47 01:15 01:41 11:17 12:23 13:31-45 00:59 01:23 01:45 11:07 12:17 13:29-50 01:13 01:33 01:50 10:54 12:09 13:26-52 01:20 01:37 01:52 10:48 12:06 13:25-54 01:27 01:42 01:55 10:41 12:02 13:24-56 01:35 01:47 01:57 10:34 11:57 13:22-58 01:45 01:53 02:00 10:26 11:52 13:21-60 01:55 01:60 02:04 10:16 11:47 13:19

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower27 12:30 12:21 11:47 05:58 18:21 23(50%)28 12:10 12:00 11:48 06:44 19:07 24(40%)29 11:50 11:39 11:48 07:30 19:54 25(30%)

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November 30, 01 ,02 (Tue., Wed., Thu.)Aries Venus Mars Jupiter Saturn

Tue GHA GHA Dec GHA Dec GHA Dec GHA Dec0 69◦05.1 137◦05.2 -24◦58.0 200◦46.8 -17◦43.9 101◦11.8 -14◦05.5 117◦32.3 -18◦49.31 84◦07.6 152◦06.1 -24◦57.6 215◦47.5 -17◦44.4 116◦13.9 -14◦05.4 132◦34.5 -18◦49.22 99◦10.0 167◦06.9 -24◦57.2 230◦48.2 -17◦44.8 131◦16.1 -14◦05.3 147◦36.8 -18◦49.23 114◦12.5 182◦07.7 -24◦56.7 245◦49.0 -17◦45.3 146◦18.2 -14◦05.2 162◦39.1 -18◦49.14 129◦15.0 197◦08.6 -24◦56.3 260◦49.7 -17◦45.8 161◦20.4 -14◦05.0 177◦41.3 -18◦49.15 144◦17.4 212◦09.4 -24◦55.8 275◦50.4 -17◦46.3 176◦22.5 -14◦04.9 192◦43.6 -18◦49.06 159◦19.9 227◦10.3 -24◦55.4 290◦51.1 -17◦46.8 191◦24.7 -14◦04.8 207◦45.9 -18◦49.07 174◦22.4 242◦11.1 -24◦55.0 305◦51.9 -17◦47.2 206◦26.8 -14◦04.7 222◦48.1 -18◦48.98 189◦24.8 257◦11.9 -24◦54.5 320◦52.6 -17◦47.7 221◦29.0 -14◦04.6 237◦50.4 -18◦48.99 204◦27.3 272◦12.8 -24◦54.1 335◦53.3 -17◦48.2 236◦31.1 -14◦04.5 252◦52.7 -18◦48.810 219◦29.8 287◦13.7 -24◦53.6 350◦54.0 -17◦48.7 251◦33.3 -14◦04.4 267◦54.9 -18◦48.811 234◦32.2 302◦14.5 -24◦53.2 5◦54.7 -17◦49.2 266◦35.4 -14◦04.2 282◦57.2 -18◦48.712 249◦34.7 317◦15.4 -24◦52.7 20◦55.5 -17◦49.6 281◦37.6 -14◦04.1 297◦59.5 -18◦48.713 264◦37.1 332◦16.2 -24◦52.3 35◦56.2 -17◦50.1 296◦39.7 -14◦04.0 313◦01.7 -18◦48.614 279◦39.6 347◦17.1 -24◦51.8 50◦56.9 -17◦50.6 311◦41.9 -14◦03.9 328◦04.0 -18◦48.615 294◦42.1 2◦18.0 -24◦51.4 65◦57.6 -17◦51.1 326◦44.0 -14◦03.8 343◦06.3 -18◦48.516 309◦44.5 17◦18.8 -24◦51.0 80◦58.3 -17◦51.5 341◦46.2 -14◦03.7 358◦08.5 -18◦48.417 324◦47.0 32◦19.7 -24◦50.5 95◦59.1 -17◦52.0 356◦48.3 -14◦03.5 13◦10.8 -18◦48.418 339◦49.5 47◦20.6 -24◦50.1 110◦59.8 -17◦52.5 11◦50.5 -14◦03.4 28◦13.1 -18◦48.319 354◦51.9 62◦21.5 -24◦49.6 126◦00.5 -17◦53.0 26◦52.6 -14◦03.3 43◦15.3 -18◦48.320 9◦54.4 77◦22.4 -24◦49.2 141◦01.2 -17◦53.4 41◦54.7 -14◦03.2 58◦17.6 -18◦48.221 24◦56.9 92◦23.2 -24◦48.7 156◦01.9 -17◦53.9 56◦56.9 -14◦03.1 73◦19.9 -18◦48.222 39◦59.3 107◦24.1 -24◦48.3 171◦02.7 -17◦54.4 71◦59.0 -14◦03.0 88◦22.1 -18◦48.123 55◦01.8 122◦25.0 -24◦47.8 186◦03.4 -17◦54.9 87◦01.2 -14◦02.8 103◦24.4 -18◦48.1Mer.pass.:19:20 v0.8 d0.4 m-4.5 v0.7 d-0.5 m1.6 v2.1 d0.1 m-2.1 v2.3 d0.1 m0.7

Wed GHA GHA Dec GHA Dec GHA Dec GHA Dec0 70◦04.3 137◦25.9 -24◦47.4 201◦04.1 -17◦55.3 102◦03.3 -14◦02.7 118◦26.7 -18◦48.01 85◦06.7 152◦26.8 -24◦46.9 216◦04.8 -17◦55.8 117◦05.5 -14◦02.6 133◦28.9 -18◦48.02 100◦09.2 167◦27.7 -24◦46.5 231◦05.5 -17◦56.3 132◦07.6 -14◦02.5 148◦31.2 -18◦47.93 115◦11.6 182◦28.6 -24◦46.0 246◦06.3 -17◦56.8 147◦09.7 -14◦02.4 163◦33.5 -18◦47.94 130◦14.1 197◦29.5 -24◦45.6 261◦07.0 -17◦57.2 162◦11.9 -14◦02.3 178◦35.7 -18◦47.85 145◦16.6 212◦30.4 -24◦45.1 276◦07.7 -17◦57.7 177◦14.0 -14◦02.1 193◦38.0 -18◦47.86 160◦19.0 227◦31.3 -24◦44.7 291◦08.4 -17◦58.2 192◦16.2 -14◦02.0 208◦40.2 -18◦47.77 175◦21.5 242◦32.2 -24◦44.2 306◦09.1 -17◦58.6 207◦18.3 -14◦01.9 223◦42.5 -18◦47.78 190◦24.0 257◦33.2 -24◦43.8 321◦09.8 -17◦59.1 222◦20.5 -14◦01.8 238◦44.8 -18◦47.69 205◦26.4 272◦34.1 -24◦43.3 336◦10.6 -17◦59.6 237◦22.6 -14◦01.7 253◦47.0 -18◦47.610 220◦28.9 287◦35.0 -24◦42.8 351◦11.3 -18◦00.1 252◦24.7 -14◦01.6 268◦49.3 -18◦47.511 235◦31.4 302◦35.9 -24◦42.4 6◦12.0 -18◦00.5 267◦26.9 -14◦01.4 283◦51.6 -18◦47.512 250◦33.8 317◦36.8 -24◦41.9 21◦12.7 -18◦01.0 282◦29.0 -14◦01.3 298◦53.8 -18◦47.413 265◦36.3 332◦37.8 -24◦41.5 36◦13.4 -18◦01.5 297◦31.2 -14◦01.2 313◦56.1 -18◦47.414 280◦38.7 347◦38.7 -24◦41.0 51◦14.1 -18◦01.9 312◦33.3 -14◦01.1 328◦58.4 -18◦47.315 295◦41.2 2◦39.6 -24◦40.6 66◦14.9 -18◦02.4 327◦35.4 -14◦01.0 344◦00.6 -18◦47.316 310◦43.7 17◦40.6 -24◦40.1 81◦15.6 -18◦02.9 342◦37.6 -14◦00.9 359◦02.9 -18◦47.217 325◦46.1 32◦41.5 -24◦39.7 96◦16.3 -18◦03.4 357◦39.7 -14◦00.7 14◦05.1 -18◦47.218 340◦48.6 47◦42.5 -24◦39.2 111◦17.0 -18◦03.8 12◦41.9 -14◦00.6 29◦07.4 -18◦47.119 355◦51.1 62◦43.4 -24◦38.7 126◦17.7 -18◦04.3 27◦44.0 -14◦00.5 44◦09.7 -18◦47.120 10◦53.5 77◦44.4 -24◦38.3 141◦18.4 -18◦04.8 42◦46.1 -14◦00.4 59◦11.9 -18◦47.021 25◦56.0 92◦45.3 -24◦37.8 156◦19.1 -18◦05.2 57◦48.3 -14◦00.3 74◦14.2 -18◦46.922 40◦58.5 107◦46.3 -24◦37.4 171◦19.9 -18◦05.7 72◦50.4 -14◦00.1 89◦16.5 -18◦46.923 56◦00.9 122◦47.2 -24◦36.9 186◦20.6 -18◦06.2 87◦52.6 -14◦00.0 104◦18.7 -18◦46.8Mer.pass.:19:16 v0.9 d0.5 m-4.5 v0.7 d-0.5 m1.6 v2.1 d0.1 m-2.1 v2.3 d0.1 m0.7

Thu GHA GHA Dec GHA Dec GHA Dec GHA Dec0 71◦03.4 137◦48.2 -24◦36.4 201◦21.3 -18◦06.6 102◦54.7 -13◦59.9 119◦21.0 -18◦46.81 86◦05.9 152◦49.2 -24◦36.0 216◦22.0 -18◦07.1 117◦56.8 -13◦59.8 134◦23.2 -18◦46.72 101◦08.3 167◦50.1 -24◦35.5 231◦22.7 -18◦07.6 132◦59.0 -13◦59.7 149◦25.5 -18◦46.73 116◦10.8 182◦51.1 -24◦35.1 246◦23.4 -18◦08.0 148◦01.1 -13◦59.5 164◦27.8 -18◦46.64 131◦13.2 197◦52.1 -24◦34.6 261◦24.1 -18◦08.5 163◦03.2 -13◦59.4 179◦30.0 -18◦46.65 146◦15.7 212◦53.1 -24◦34.1 276◦24.8 -18◦09.0 178◦05.4 -13◦59.3 194◦32.3 -18◦46.56 161◦18.2 227◦54.0 -24◦33.7 291◦25.6 -18◦09.4 193◦07.5 -13◦59.2 209◦34.5 -18◦46.57 176◦20.6 242◦55.0 -24◦33.2 306◦26.3 -18◦09.9 208◦09.7 -13◦59.1 224◦36.8 -18◦46.48 191◦23.1 257◦56.0 -24◦32.7 321◦27.0 -18◦10.4 223◦11.8 -13◦58.9 239◦39.1 -18◦46.49 206◦25.6 272◦57.0 -24◦32.3 336◦27.7 -18◦10.8 238◦13.9 -13◦58.8 254◦41.3 -18◦46.310 221◦28.0 287◦58.0 -24◦31.8 351◦28.4 -18◦11.3 253◦16.1 -13◦58.7 269◦43.6 -18◦46.311 236◦30.5 302◦59.0 -24◦31.4 6◦29.1 -18◦11.8 268◦18.2 -13◦58.6 284◦45.9 -18◦46.212 251◦33.0 317◦60.0 -24◦30.9 21◦29.8 -18◦12.2 283◦20.3 -13◦58.5 299◦48.1 -18◦46.213 266◦35.4 333◦01.0 -24◦30.4 36◦30.5 -18◦12.7 298◦22.5 -13◦58.3 314◦50.4 -18◦46.114 281◦37.9 348◦02.0 -24◦30.0 51◦31.2 -18◦13.2 313◦24.6 -13◦58.2 329◦52.6 -18◦46.115 296◦40.4 3◦03.0 -24◦29.5 66◦32.0 -18◦13.6 328◦26.7 -13◦58.1 344◦54.9 -18◦46.016 311◦42.8 18◦04.0 -24◦29.0 81◦32.7 -18◦14.1 343◦28.9 -13◦58.0 359◦57.2 -18◦45.917 326◦45.3 33◦05.0 -24◦28.6 96◦33.4 -18◦14.6 358◦31.0 -13◦57.9 14◦59.4 -18◦45.918 341◦47.7 48◦06.0 -24◦28.1 111◦34.1 -18◦15.0 13◦33.1 -13◦57.7 30◦01.7 -18◦45.819 356◦50.2 63◦07.0 -24◦27.6 126◦34.8 -18◦15.5 28◦35.3 -13◦57.6 45◦03.9 -18◦45.820 11◦52.7 78◦08.1 -24◦27.1 141◦35.5 -18◦16.0 43◦37.4 -13◦57.5 60◦06.2 -18◦45.721 26◦55.1 93◦09.1 -24◦26.7 156◦36.2 -18◦16.4 58◦39.5 -13◦57.4 75◦08.4 -18◦45.722 41◦57.6 108◦10.1 -24◦26.2 171◦36.9 -18◦16.9 73◦41.7 -13◦57.3 90◦10.7 -18◦45.623 57◦00.1 123◦11.1 -24◦25.7 186◦37.6 -18◦17.3 88◦43.8 -13◦57.1 105◦13.0 -18◦45.6Mer.pass.:19:12 v1.0 d0.5 m-4.5 v0.7 d-0.5 m1.6 v2.1 d0.1 m-2.1 v2.3 d0.1 m0.7

StarsSHA Dec

Alpheratz 357◦37.3 29◦12.8Ankaa 353◦09.5 -42◦11.5

Schedar 349◦33.6 56◦39.6Diphda 348◦49.6 -17◦52.1

Achernar 335◦21.8 -57◦07.8Hamal 327◦53.8 23◦34.0Polaris 314◦46.8 89◦21.5Akamar 315◦13.4 -40◦13.2Menkar 314◦08.5 4◦10.5Mirfak 308◦31.4 49◦56.3

Aldebaran 290◦42.2 16◦33.2Rigel 281◦06.0 -8◦10.6

Capella 280◦25.2 46◦01.2Bellatrix 278◦25.3 6◦22.2Elnath 278◦04.7 28◦37.5Alnilam 275◦40.0 -1◦11.3

Betelgeuse 270◦54.5 7◦24.7Canopus 263◦53.0 -52◦42.3

Sirius 258◦28.1 -16◦44.5Adara 255◦07.5 -28◦60.0

Procyon 244◦53.2 5◦10.3Pollux 243◦20.1 27◦58.3Avior 234◦15.4 -59◦34.5Suhail 222◦48.0 -43◦30.9

Miaplacidus 221◦38.4 -69◦48.0Alphard 217◦50.2 -8◦45.1Regulus 207◦37.1 11◦51.7Dubhe 193◦44.3 61◦37.8

Denebola 182◦27.6 14◦27.1Gienah 175◦46.3 -17◦39.6Acrux 173◦03.2 -63◦12.8

Gacrux 171◦54.7 -57◦13.8Alioth 166◦15.7 55◦50.3Spica 158◦25.2 -11◦16.3Alcaid 152◦54.4 49◦12.2Hadar 148◦40.1 -60◦28.4

Menkent 148◦01.0 -36◦28.4Arcturus 145◦50.4 19◦04.5

Rigil Kent. 139◦44.4 -60◦55.3Zubenelg. 136◦59.2 -16◦07.8Kochab 137◦20.9 74◦03.8

Alphecca 126◦06.3 26◦38.5Antares 112◦19.4 -26◦28.7

Atria 107◦16.4 -69◦03.9Sabik 102◦06.1 -15◦45.0

Shaula 96◦14.3 -37◦07.1Rasalhague 96◦01.3 12◦32.8

Etamin 90◦43.9 51◦29.3Kaus Aust. 83◦36.3 -34◦22.4

Vega 80◦35.4 38◦48.3Nunki 75◦51.3 -26◦16.2Altair 62◦02.8 8◦55.6

Peacock 53◦10.1 -56◦40.1Deneb 49◦27.8 45◦21.7

Enif 33◦41.4 9◦58.6Alnair 27◦36.3 -46◦51.5

Fomalhaut 15◦17.4 -29◦30.6Scheat 13◦47.7 28◦12.2Markab 13◦32.4 15◦19.4

2021/11/ SHA Mer.passVenus 68◦00.1 14:51Mars 131◦41.7 10:36

Jupiter 32◦06.7 17:13Saturn 48◦27.2 16:07

2021/12/ SHA Mer.passVenus 67◦21.7 14:49Mars 130◦59.9 10:35

Jupiter 31◦59.1 17:09Saturn 48◦22.4 16:04

2021/12/ SHA Mer.passVenus 66◦44.8 14:48Mars 130◦17.9 10:34

Jupiter 31◦51.3 17:06Saturn 48◦17.6 16:00

Horizontal paralaxVenus: 0.3Mars: 0.1

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2021 November 30 to Dec. 02

h Sun MoonTue GHA Dec GHA ν Dec d HP0 182◦52.1 -21◦38.3 239◦27.6 12.3 0◦27.7 -15.4 58.71 197◦51.9 -21◦38.7 253◦58.8 12.3 0◦12.3 -15.4 58.82 212◦51.6 -21◦39.1 268◦30.1 12.2 -0◦03.2 -15.5 58.83 227◦51.4 -21◦39.5 283◦01.3 12.2 -0◦18.7 -15.5 58.94 242◦51.2 -21◦39.9 297◦32.4 12.1 -0◦34.2 -15.5 58.95 257◦51.0 -21◦40.3 312◦03.5 12.1 -0◦49.7 -15.5 58.96 272◦50.7 -21◦40.7 326◦34.6 12.0 -1◦05.2 -15.5 59.07 287◦50.5 -21◦41.1 341◦05.6 12.0 -1◦20.8 -15.6 59.08 302◦50.3 -21◦41.5 355◦36.5 11.9 -1◦36.4 -15.6 59.19 317◦50.0 -21◦41.9 10◦07.4 11.9 -1◦52.0 -15.6 59.110 332◦49.8 -21◦42.3 24◦38.3 11.8 -2◦07.5 -15.6 59.111 347◦49.6 -21◦42.7 39◦09.1 11.8 -2◦23.2 -15.6 59.212 2◦49.4 -21◦43.1 53◦39.8 11.7 -2◦38.8 -15.6 59.213 17◦49.1 -21◦43.5 68◦10.5 11.6 -2◦54.4 -15.6 59.314 32◦48.9 -21◦43.9 82◦41.1 11.6 -3◦10.0 -15.6 59.315 47◦48.7 -21◦44.3 97◦11.6 11.5 -3◦25.7 -15.6 59.316 62◦48.4 -21◦44.7 111◦42.1 11.5 -3◦41.3 -15.6 59.417 77◦48.2 -21◦45.1 126◦12.5 11.4 -3◦57.0 -15.6 59.418 92◦48.0 -21◦45.5 140◦42.9 11.3 -4◦12.6 -15.6 59.519 107◦47.7 -21◦45.9 155◦13.2 11.3 -4◦28.3 -15.6 59.520 122◦47.5 -21◦46.3 169◦43.4 11.2 -4◦43.9 -15.6 59.521 137◦47.3 -21◦46.7 184◦13.6 11.1 -4◦59.5 -15.6 59.622 152◦47.0 -21◦47.1 198◦43.7 11.1 -5◦15.2 -15.6 59.623 167◦46.8 -21◦47.5 213◦13.7 11.0 -5◦30.8 -15.6 59.6

SD.=16.2 d=-0.4 S.D.=16.0

Wed GHA Dec GHA ν Dec d HP0 182◦46.6 -21◦47.8 227◦43.7 10.9 -5◦46.4 -15.6 59.71 197◦46.3 -21◦48.2 242◦13.6 10.8 -6◦02.0 -15.6 59.72 212◦46.1 -21◦48.6 256◦43.4 10.8 -6◦17.6 -15.6 59.83 227◦45.9 -21◦49.0 271◦13.1 10.7 -6◦33.2 -15.6 59.84 242◦45.6 -21◦49.4 285◦42.7 10.6 -6◦48.8 -15.6 59.85 257◦45.4 -21◦49.8 300◦12.3 10.5 -7◦04.3 -15.5 59.96 272◦45.2 -21◦50.2 314◦41.8 10.5 -7◦19.9 -15.5 59.97 287◦44.9 -21◦50.6 329◦11.2 10.4 -7◦35.4 -15.5 59.98 302◦44.7 -21◦50.9 343◦40.6 10.3 -7◦50.9 -15.5 60.09 317◦44.5 -21◦51.3 358◦09.8 10.2 -8◦06.4 -15.5 60.010 332◦44.2 -21◦51.7 12◦39.0 10.1 -8◦21.8 -15.4 60.011 347◦44.0 -21◦52.1 27◦08.0 10.0 -8◦37.2 -15.4 60.112 2◦43.8 -21◦52.5 41◦37.0 9.9 -8◦52.6 -15.4 60.113 17◦43.5 -21◦52.8 56◦05.9 9.9 -9◦08.0 -15.3 60.114 32◦43.3 -21◦53.2 70◦34.8 9.8 -9◦23.3 -15.3 60.215 47◦43.1 -21◦53.6 85◦03.5 9.7 -9◦38.6 -15.3 60.216 62◦42.8 -21◦54.0 99◦32.1 9.6 -9◦53.8 -15.2 60.217 77◦42.6 -21◦54.4 114◦00.7 9.5 -10◦09.0 -15.2 60.318 92◦42.3 -21◦54.7 128◦29.1 9.4 -10◦24.2 -15.1 60.319 107◦42.1 -21◦55.1 142◦57.5 9.3 -10◦39.3 -15.1 60.320 122◦41.9 -21◦55.5 157◦25.7 9.2 -10◦54.4 -15.1 60.421 137◦41.6 -21◦55.9 171◦53.9 9.1 -11◦09.4 -15.0 60.422 152◦41.4 -21◦56.2 186◦21.9 9.0 -11◦24.4 -15.0 60.423 167◦41.1 -21◦56.6 200◦49.9 8.9 -11◦39.4 -14.9 60.5

SD.=16.2 d=-0.4 S.D.=16.3

Thu GHA Dec GHA ν Dec d HP0 182◦40.9 -21◦57.0 215◦17.8 8.8 -11◦54.3 -14.9 60.51 197◦40.7 -21◦57.4 229◦45.5 8.7 -12◦09.1 -14.8 60.52 212◦40.4 -21◦57.7 244◦13.2 8.6 -12◦23.9 -14.7 60.63 227◦40.2 -21◦58.1 258◦40.8 8.5 -12◦38.6 -14.7 60.64 242◦39.9 -21◦58.5 273◦08.2 8.4 -12◦53.2 -14.6 60.65 257◦39.7 -21◦58.8 287◦35.6 8.3 -13◦07.8 -14.6 60.66 272◦39.5 -21◦59.2 302◦02.8 8.2 -13◦22.4 -14.5 60.77 287◦39.2 -21◦59.6 316◦30.0 8.1 -13◦36.8 -14.4 60.78 302◦39.0 -21◦59.9 330◦57.0 8.0 -13◦51.2 -14.4 60.79 317◦38.7 -22◦00.3 345◦24.0 7.9 -14◦05.5 -14.3 60.810 332◦38.5 -22◦00.7 359◦50.8 7.8 -14◦19.8 -14.2 60.811 347◦38.3 -22◦01.0 14◦17.5 7.7 -14◦33.9 -14.1 60.812 2◦38.0 -22◦01.4 28◦44.1 7.6 -14◦48.0 -14.1 60.813 17◦37.8 -22◦01.7 43◦10.6 7.4 -15◦02.0 -14.0 60.914 32◦37.5 -22◦02.1 57◦37.0 7.3 -15◦16.0 -13.9 60.915 47◦37.3 -22◦02.5 72◦03.3 7.2 -15◦29.8 -13.8 60.916 62◦37.0 -22◦02.8 86◦29.4 7.1 -15◦43.6 -13.7 60.917 77◦36.8 -22◦03.2 100◦55.5 7.0 -15◦57.2 -13.6 61.018 92◦36.6 -22◦03.6 115◦21.4 6.9 -16◦10.8 -13.5 61.019 107◦36.3 -22◦03.9 129◦47.2 6.8 -16◦24.3 -13.4 61.020 122◦36.1 -22◦04.3 144◦13.0 6.7 -16◦37.7 -13.3 61.021 137◦35.8 -22◦04.6 158◦38.6 6.5 -16◦51.0 -13.2 61.022 152◦35.6 -22◦05.0 173◦04.0 6.4 -17◦04.2 -13.1 61.123 167◦35.3 -22◦05.3 187◦29.4 6.3 -17◦17.3 -13.0 61.1

SD.=16.2 d=-0.4 S.D.=16.5

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 07:51 09:51 –:– –:– 13:46 15:4670 07:35 09:11 –:– –:– 14:26 16:0268 07:22 08:44 10:37 13:00 14:53 16:1666 07:11 08:23 09:47 13:50 15:14 16:2764 07:01 08:07 09:17 14:21 15:31 16:3662 06:53 07:53 08:54 14:44 15:45 16:4460 06:46 07:41 08:35 15:03 15:57 16:5258 06:40 07:31 08:20 15:18 16:07 16:5856 06:34 07:22 08:07 15:31 16:16 17:0454 06:28 07:13 07:56 15:42 16:24 17:0952 06:23 07:06 07:46 15:52 16:32 17:1450 06:19 06:59 07:37 16:01 16:38 17:1945 06:08 06:45 07:18 16:20 16:53 17:3040 05:59 06:33 07:03 16:35 17:05 17:3935 05:51 06:22 06:50 16:48 17:16 17:4730 05:43 06:12 06:38 16:60 17:26 17:5520 05:28 05:55 06:19 17:19 17:43 18:1010 05:13 05:39 06:02 17:37 17:59 18:250 04:57 05:23 05:45 17:53 18:15 18:41-10 04:40 05:06 05:29 18:09 18:32 18:59-20 04:19 04:47 05:12 18:27 18:51 19:20-30 03:52 04:24 04:51 18:47 19:14 19:47-35 03:34 04:10 04:39 18:59 19:28 20:04-40 03:13 03:53 04:25 19:13 19:45 20:26-45 02:46 03:33 04:09 19:30 20:06 20:53-50 02:06 03:06 03:49 19:50 20:33 21:33-52 01:44 02:53 03:39 20:00 20:46 21:56-54 01:14 02:37 03:28 20:11 21:02 22:27-56 00:15 02:18 03:15 20:24 21:21 23:35-58 –:– 01:55 03:01 20:39 21:45 –:–-60 –:– 01:22 02:43 20:56 22:19 –:–

Moonrise MoonsetLat. Tue Wed Thu Tue Wed Thu72 02:09 04:28 07:11 13:48 13:14 12:2270 02:09 04:17 06:42 13:53 13:28 12:5468 02:09 04:08 06:20 13:56 13:39 13:1866 02:08 04:01 06:03 13:59 13:49 13:3664 02:08 03:55 05:49 14:02 13:57 13:5262 02:08 03:50 05:38 14:04 14:04 14:0460 02:08 03:45 05:28 14:06 14:10 14:1558 02:08 03:41 05:20 14:08 14:15 14:2556 02:08 03:38 05:13 14:09 14:20 14:3354 02:08 03:35 05:06 14:11 14:24 14:4052 02:08 03:32 05:00 14:12 14:28 14:4750 02:08 03:29 04:55 14:13 14:32 14:5345 02:07 03:24 04:44 14:16 14:39 15:0640 02:07 03:19 04:34 14:18 14:46 15:1735 02:07 03:15 04:26 14:20 14:51 15:2730 02:07 03:12 04:20 14:22 14:56 15:3520 02:07 03:06 04:08 14:25 15:05 15:4910 02:07 03:00 03:57 14:27 15:13 16:020 02:07 02:56 03:48 14:30 15:20 16:14-10 02:07 02:51 03:38 14:32 15:27 16:26-20 02:07 02:46 03:28 14:35 15:35 16:38-30 02:07 02:40 03:17 14:37 15:43 16:53-35 02:07 02:37 03:10 14:39 15:49 17:02-40 02:07 02:33 03:03 14:41 15:54 17:11-45 02:07 02:29 02:54 14:43 16:01 17:23-50 02:07 02:24 02:44 14:46 16:09 17:37-52 02:07 02:22 02:39 14:47 16:13 17:44-54 02:07 02:19 02:34 14:48 16:17 17:51-56 02:07 02:17 02:29 14:50 16:22 17:59-58 02:07 02:14 02:22 14:52 16:27 18:08-60 02:07 02:10 02:15 14:53 16:33 18:19

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower30 11:29 11:18 11:48 08:18 20:42 26(20%)1 11:07 10:55 11:49 09:07 21:33 27(11%)2 10:44 10:32 11:49 10:00 22:28 28(5%)

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December 03, 04 ,05 (Fri., Sat., Sun.)Aries Venus Mars Jupiter Saturn

Fri GHA GHA Dec GHA Dec GHA Dec GHA Dec0 72◦02.5 138◦12.2 -24◦25.3 201◦38.3 -18◦17.8 103◦45.9 -13◦57.0 120◦15.2 -18◦45.51 87◦05.0 153◦13.2 -24◦24.8 216◦39.0 -18◦18.3 118◦48.1 -13◦56.9 135◦17.5 -18◦45.52 102◦07.5 168◦14.2 -24◦24.3 231◦39.7 -18◦18.7 133◦50.2 -13◦56.8 150◦19.7 -18◦45.43 117◦09.9 183◦15.3 -24◦23.9 246◦40.5 -18◦19.2 148◦52.3 -13◦56.7 165◦22.0 -18◦45.44 132◦12.4 198◦16.3 -24◦23.4 261◦41.2 -18◦19.7 163◦54.5 -13◦56.5 180◦24.3 -18◦45.35 147◦14.9 213◦17.4 -24◦22.9 276◦41.9 -18◦20.1 178◦56.6 -13◦56.4 195◦26.5 -18◦45.36 162◦17.3 228◦18.4 -24◦22.4 291◦42.6 -18◦20.6 193◦58.7 -13◦56.3 210◦28.8 -18◦45.27 177◦19.8 243◦19.5 -24◦22.0 306◦43.3 -18◦21.0 209◦00.9 -13◦56.2 225◦31.0 -18◦45.18 192◦22.2 258◦20.5 -24◦21.5 321◦44.0 -18◦21.5 224◦03.0 -13◦56.0 240◦33.3 -18◦45.19 207◦24.7 273◦21.6 -24◦21.0 336◦44.7 -18◦22.0 239◦05.1 -13◦55.9 255◦35.5 -18◦45.010 222◦27.2 288◦22.7 -24◦20.5 351◦45.4 -18◦22.4 254◦07.2 -13◦55.8 270◦37.8 -18◦45.011 237◦29.6 303◦23.7 -24◦20.1 6◦46.1 -18◦22.9 269◦09.4 -13◦55.7 285◦40.1 -18◦44.912 252◦32.1 318◦24.8 -24◦19.6 21◦46.8 -18◦23.3 284◦11.5 -13◦55.6 300◦42.3 -18◦44.913 267◦34.6 333◦25.9 -24◦19.1 36◦47.5 -18◦23.8 299◦13.6 -13◦55.4 315◦44.6 -18◦44.814 282◦37.0 348◦27.0 -24◦18.6 51◦48.2 -18◦24.3 314◦15.8 -13◦55.3 330◦46.8 -18◦44.815 297◦39.5 3◦28.0 -24◦18.2 66◦48.9 -18◦24.7 329◦17.9 -13◦55.2 345◦49.1 -18◦44.716 312◦42.0 18◦29.1 -24◦17.7 81◦49.6 -18◦25.2 344◦20.0 -13◦55.1 0◦51.3 -18◦44.717 327◦44.4 33◦30.2 -24◦17.2 96◦50.3 -18◦25.6 359◦22.1 -13◦54.9 15◦53.6 -18◦44.618 342◦46.9 48◦31.3 -24◦16.7 111◦51.0 -18◦26.1 14◦24.3 -13◦54.8 30◦55.9 -18◦44.619 357◦49.4 63◦32.4 -24◦16.3 126◦51.7 -18◦26.5 29◦26.4 -13◦54.7 45◦58.1 -18◦44.520 12◦51.8 78◦33.5 -24◦15.8 141◦52.4 -18◦27.0 44◦28.5 -13◦54.6 61◦00.4 -18◦44.421 27◦54.3 93◦34.6 -24◦15.3 156◦53.1 -18◦27.5 59◦30.7 -13◦54.5 76◦02.6 -18◦44.422 42◦56.7 108◦35.7 -24◦14.8 171◦53.8 -18◦27.9 74◦32.8 -13◦54.3 91◦04.9 -18◦44.323 57◦59.2 123◦36.8 -24◦14.3 186◦54.6 -18◦28.4 89◦34.9 -13◦54.2 106◦07.1 -18◦44.3Mer.pass.:19:08 v1.0 d0.5 m-4.5 v0.7 d-0.5 m1.6 v2.1 d0.1 m-2.1 v2.3 d0.1 m0.7

Sat GHA GHA Dec GHA Dec GHA Dec GHA Dec0 73◦01.7 138◦37.9 -24◦13.9 201◦55.3 -18◦28.8 104◦37.0 -13◦54.1 121◦09.4 -18◦44.21 88◦04.1 153◦39.0 -24◦13.4 216◦56.0 -18◦29.3 119◦39.2 -13◦54.0 136◦11.7 -18◦44.22 103◦06.6 168◦40.1 -24◦12.9 231◦56.7 -18◦29.7 134◦41.3 -13◦53.8 151◦13.9 -18◦44.13 118◦09.1 183◦41.2 -24◦12.4 246◦57.4 -18◦30.2 149◦43.4 -13◦53.7 166◦16.2 -18◦44.14 133◦11.5 198◦42.3 -24◦11.9 261◦58.1 -18◦30.7 164◦45.5 -13◦53.6 181◦18.4 -18◦44.05 148◦14.0 213◦43.5 -24◦11.5 276◦58.8 -18◦31.1 179◦47.7 -13◦53.5 196◦20.7 -18◦44.06 163◦16.5 228◦44.6 -24◦11.0 291◦59.5 -18◦31.6 194◦49.8 -13◦53.3 211◦22.9 -18◦43.97 178◦18.9 243◦45.7 -24◦10.5 307◦00.2 -18◦32.0 209◦51.9 -13◦53.2 226◦25.2 -18◦43.98 193◦21.4 258◦46.8 -24◦10.0 322◦00.9 -18◦32.5 224◦54.0 -13◦53.1 241◦27.4 -18◦43.89 208◦23.8 273◦48.0 -24◦09.5 337◦01.6 -18◦32.9 239◦56.2 -13◦53.0 256◦29.7 -18◦43.710 223◦26.3 288◦49.1 -24◦09.1 352◦02.3 -18◦33.4 254◦58.3 -13◦52.8 271◦31.9 -18◦43.711 238◦28.8 303◦50.3 -24◦08.6 7◦03.0 -18◦33.8 270◦00.4 -13◦52.7 286◦34.2 -18◦43.612 253◦31.2 318◦51.4 -24◦08.1 22◦03.7 -18◦34.3 285◦02.5 -13◦52.6 301◦36.5 -18◦43.613 268◦33.7 333◦52.5 -24◦07.6 37◦04.4 -18◦34.7 300◦04.7 -13◦52.5 316◦38.7 -18◦43.514 283◦36.2 348◦53.7 -24◦07.1 52◦05.1 -18◦35.2 315◦06.8 -13◦52.3 331◦41.0 -18◦43.515 298◦38.6 3◦54.8 -24◦06.6 67◦05.8 -18◦35.6 330◦08.9 -13◦52.2 346◦43.2 -18◦43.416 313◦41.1 18◦56.0 -24◦06.1 82◦06.5 -18◦36.1 345◦11.0 -13◦52.1 1◦45.5 -18◦43.417 328◦43.6 33◦57.2 -24◦05.7 97◦07.2 -18◦36.6 0◦13.1 -13◦52.0 16◦47.7 -18◦43.318 343◦46.0 48◦58.3 -24◦05.2 112◦07.9 -18◦37.0 15◦15.3 -13◦51.8 31◦50.0 -18◦43.219 358◦48.5 63◦59.5 -24◦04.7 127◦08.6 -18◦37.5 30◦17.4 -13◦51.7 46◦52.2 -18◦43.220 13◦51.0 79◦00.7 -24◦04.2 142◦09.3 -18◦37.9 45◦19.5 -13◦51.6 61◦54.5 -18◦43.121 28◦53.4 94◦01.8 -24◦03.7 157◦10.0 -18◦38.4 60◦21.6 -13◦51.5 76◦56.7 -18◦43.122 43◦55.9 109◦03.0 -24◦03.2 172◦10.7 -18◦38.8 75◦23.7 -13◦51.3 91◦59.0 -18◦43.023 58◦58.3 124◦04.2 -24◦02.7 187◦11.3 -18◦39.3 90◦25.9 -13◦51.2 107◦01.2 -18◦43.0Mer.pass.:19:04 v1.1 d0.5 m-4.5 v0.7 d-0.5 m1.6 v2.1 d0.1 m-2.1 v2.3 d0.1 m0.7

Sun GHA GHA Dec GHA Dec GHA Dec GHA Dec0 74◦00.8 139◦05.4 -24◦02.3 202◦12.0 -18◦39.7 105◦28.0 -13◦51.1 122◦03.5 -18◦42.91 89◦03.3 154◦06.6 -24◦01.8 217◦12.7 -18◦40.2 120◦30.1 -13◦51.0 137◦05.7 -18◦42.92 104◦05.7 169◦07.8 -24◦01.3 232◦13.4 -18◦40.6 135◦32.2 -13◦50.8 152◦08.0 -18◦42.83 119◦08.2 184◦08.9 -24◦00.8 247◦14.1 -18◦41.1 150◦34.4 -13◦50.7 167◦10.3 -18◦42.84 134◦10.7 199◦10.1 -24◦00.3 262◦14.8 -18◦41.5 165◦36.5 -13◦50.6 182◦12.5 -18◦42.75 149◦13.1 214◦11.3 -23◦59.8 277◦15.5 -18◦42.0 180◦38.6 -13◦50.5 197◦14.8 -18◦42.66 164◦15.6 229◦12.5 -23◦59.3 292◦16.2 -18◦42.4 195◦40.7 -13◦50.3 212◦17.0 -18◦42.67 179◦18.1 244◦13.7 -23◦58.8 307◦16.9 -18◦42.9 210◦42.8 -13◦50.2 227◦19.3 -18◦42.58 194◦20.5 259◦15.0 -23◦58.3 322◦17.6 -18◦43.3 225◦44.9 -13◦50.1 242◦21.5 -18◦42.59 209◦23.0 274◦16.2 -23◦57.9 337◦18.3 -18◦43.8 240◦47.1 -13◦50.0 257◦23.8 -18◦42.410 224◦25.5 289◦17.4 -23◦57.4 352◦19.0 -18◦44.2 255◦49.2 -13◦49.8 272◦26.0 -18◦42.411 239◦27.9 304◦18.6 -23◦56.9 7◦19.7 -18◦44.6 270◦51.3 -13◦49.7 287◦28.3 -18◦42.312 254◦30.4 319◦19.8 -23◦56.4 22◦20.4 -18◦45.1 285◦53.4 -13◦49.6 302◦30.5 -18◦42.313 269◦32.8 334◦21.0 -23◦55.9 37◦21.1 -18◦45.5 300◦55.5 -13◦49.5 317◦32.8 -18◦42.214 284◦35.3 349◦22.3 -23◦55.4 52◦21.8 -18◦46.0 315◦57.7 -13◦49.3 332◦35.0 -18◦42.115 299◦37.8 4◦23.5 -23◦54.9 67◦22.5 -18◦46.4 330◦59.8 -13◦49.2 347◦37.3 -18◦42.116 314◦40.2 19◦24.7 -23◦54.4 82◦23.2 -18◦46.9 346◦01.9 -13◦49.1 2◦39.5 -18◦42.017 329◦42.7 34◦26.0 -23◦53.9 97◦23.9 -18◦47.3 1◦04.0 -13◦49.0 17◦41.8 -18◦42.018 344◦45.2 49◦27.2 -23◦53.4 112◦24.6 -18◦47.8 16◦06.1 -13◦48.8 32◦44.0 -18◦41.919 359◦47.6 64◦28.5 -23◦52.9 127◦25.2 -18◦48.2 31◦08.2 -13◦48.7 47◦46.3 -18◦41.920 14◦50.1 79◦29.7 -23◦52.4 142◦25.9 -18◦48.7 46◦10.4 -13◦48.6 62◦48.5 -18◦41.821 29◦52.6 94◦31.0 -23◦51.9 157◦26.6 -18◦49.1 61◦12.5 -13◦48.4 77◦50.8 -18◦41.822 44◦55.0 109◦32.2 -23◦51.4 172◦27.3 -18◦49.6 76◦14.6 -13◦48.3 92◦53.0 -18◦41.723 59◦57.5 124◦33.5 -23◦50.9 187◦28.0 -18◦50.0 91◦16.7 -13◦48.2 107◦55.3 -18◦41.6Mer.pass.:19:00 v1.2 d0.5 m-4.5 v0.7 d-0.5 m1.6 v2.1 d0.1 m-2.1 v2.3 d0.1 m0.7

StarsSHA Dec

Alpheratz 357◦37.3 29◦12.8Ankaa 353◦09.5 -42◦11.5

Schedar 349◦33.6 56◦39.6Diphda 348◦49.6 -17◦52.1

Achernar 335◦21.8 -57◦07.8Hamal 327◦53.8 23◦34.0Polaris 314◦47.0 89◦21.5Akamar 315◦13.4 -40◦13.2Menkar 314◦08.5 4◦10.5Mirfak 308◦31.4 49◦56.4

Aldebaran 290◦42.2 16◦33.2Rigel 281◦06.0 -8◦10.6

Capella 280◦25.2 46◦01.2Bellatrix 278◦25.3 6◦22.2Elnath 278◦04.7 28◦37.5Alnilam 275◦40.0 -1◦11.3

Betelgeuse 270◦54.5 7◦24.6Canopus 263◦53.0 -52◦42.3

Sirius 258◦28.1 -16◦44.5Adara 255◦07.5 -28◦60.0

Procyon 244◦53.2 5◦10.3Pollux 243◦20.1 27◦58.3Avior 234◦15.3 -59◦34.5Suhail 222◦47.9 -43◦31.0

Miaplacidus 221◦38.3 -69◦48.0Alphard 217◦50.1 -8◦45.1Regulus 207◦37.1 11◦51.6Dubhe 193◦44.2 61◦37.8

Denebola 182◦27.6 14◦27.0Gienah 175◦46.3 -17◦39.6Acrux 173◦03.2 -63◦12.8

Gacrux 171◦54.7 -57◦13.8Alioth 166◦15.6 55◦50.3Spica 158◦25.2 -11◦16.3Alcaid 152◦54.4 49◦12.2Hadar 148◦40.1 -60◦28.4

Menkent 148◦00.9 -36◦28.4Arcturus 145◦50.4 19◦04.5

Rigil Kent. 139◦44.4 -60◦55.2Zubenelg. 136◦59.2 -16◦07.8Kochab 137◦20.9 74◦03.8

Alphecca 126◦06.3 26◦38.5Antares 112◦19.3 -26◦28.7

Atria 107◦16.4 -69◦03.9Sabik 102◦06.1 -15◦45.0

Shaula 96◦14.3 -37◦07.1Rasalhague 96◦01.3 12◦32.8

Etamin 90◦43.9 51◦29.3Kaus Aust. 83◦36.3 -34◦22.4

Vega 80◦35.4 38◦48.3Nunki 75◦51.3 -26◦16.2Altair 62◦02.8 8◦55.6

Peacock 53◦10.2 -56◦40.1Deneb 49◦27.8 45◦21.7

Enif 33◦41.4 9◦58.6Alnair 27◦36.3 -46◦51.5

Fomalhaut 15◦17.4 -29◦30.6Scheat 13◦47.7 28◦12.2Markab 13◦32.4 15◦19.4

2021/12/ SHA Mer.passVenus 66◦09.6 14:46Mars 129◦35.8 10:33

Jupiter 31◦43.4 17:03Saturn 48◦12.7 15:57

2021/12/ SHA Mer.passVenus 65◦36.2 14:44Mars 128◦53.6 10:32

Jupiter 31◦35.4 16:59Saturn 48◦07.7 15:53

2021/12/ SHA Mer.passVenus 65◦04.6 14:42Mars 128◦11.2 10:31

Jupiter 31◦27.2 16:56Saturn 48◦02.7 15:49

Horizontal paralaxVenus: 0.4Mars: 0.1

226

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2021 December 03 to Dec. 05

h Sun MoonFri GHA Dec GHA ν Dec d HP0 182◦35.1 -22◦05.7 201◦54.7 6.2 -17◦30.3 -12.9 61.11 197◦34.8 -22◦06.0 216◦19.8 6.1 -17◦43.1 -12.8 61.12 212◦34.6 -22◦06.4 230◦44.8 6.0 -17◦55.9 -12.7 61.13 227◦34.3 -22◦06.7 245◦09.8 5.9 -18◦08.6 -12.6 61.24 242◦34.1 -22◦07.1 259◦34.6 5.7 -18◦21.1 -12.5 61.25 257◦33.8 -22◦07.4 273◦59.3 5.6 -18◦33.5 -12.4 61.26 272◦33.6 -22◦07.8 288◦23.8 5.5 -18◦45.8 -12.2 61.27 287◦33.3 -22◦08.1 302◦48.3 5.4 -18◦58.0 -12.1 61.28 302◦33.1 -22◦08.5 317◦12.6 5.3 -19◦10.1 -12.0 61.39 317◦32.9 -22◦08.8 331◦36.9 5.2 -19◦22.0 -11.9 61.310 332◦32.6 -22◦09.2 346◦01.0 5.1 -19◦33.8 -11.7 61.311 347◦32.4 -22◦09.5 0◦25.0 5.0 -19◦45.5 -11.6 61.312 2◦32.1 -22◦09.9 14◦48.9 4.8 -19◦57.1 -11.5 61.313 17◦31.9 -22◦10.2 29◦12.7 4.7 -20◦08.5 -11.3 61.314 32◦31.6 -22◦10.6 43◦36.4 4.6 -20◦19.8 -11.2 61.315 47◦31.4 -22◦10.9 57◦59.9 4.5 -20◦30.9 -11.1 61.316 62◦31.1 -22◦11.3 72◦23.4 4.4 -20◦41.9 -10.9 61.417 77◦30.9 -22◦11.6 86◦46.7 4.3 -20◦52.8 -10.8 61.418 92◦30.6 -22◦11.9 101◦10.0 4.2 -21◦03.5 -10.6 61.419 107◦30.4 -22◦12.3 115◦33.1 4.1 -21◦14.0 -10.5 61.420 122◦30.1 -22◦12.6 129◦56.1 4.0 -21◦24.5 -10.3 61.421 137◦29.9 -22◦13.0 144◦19.0 3.9 -21◦34.7 -10.2 61.422 152◦29.6 -22◦13.3 158◦41.9 3.8 -21◦44.8 -10.0 61.423 167◦29.3 -22◦13.6 173◦04.6 3.7 -21◦54.8 -9.9 61.4

SD.=16.2 d=-0.4 S.D.=16.7

Sat GHA Dec GHA ν Dec d HP0 182◦29.1 -22◦14.0 187◦27.2 3.6 -22◦04.6 -9.7 61.41 197◦28.8 -22◦14.3 201◦49.7 3.5 -22◦14.2 -9.6 61.42 212◦28.6 -22◦14.6 216◦12.1 3.4 -22◦23.7 -9.4 61.43 227◦28.3 -22◦15.0 230◦34.4 3.3 -22◦33.0 -9.2 61.44 242◦28.1 -22◦15.3 244◦56.7 3.2 -22◦42.2 -9.1 61.45 257◦27.8 -22◦15.6 259◦18.8 3.1 -22◦51.2 -8.9 61.46 272◦27.6 -22◦16.0 273◦40.8 3.0 -22◦60.0 -8.7 61.47 287◦27.3 -22◦16.3 288◦02.8 2.9 -23◦08.6 -8.6 61.58 302◦27.1 -22◦16.6 302◦24.6 2.8 -23◦17.1 -8.4 61.59 317◦26.8 -22◦17.0 316◦46.4 2.7 -23◦25.4 -8.2 61.510 332◦26.6 -22◦17.3 331◦08.1 2.6 -23◦33.5 -8.0 61.511 347◦26.3 -22◦17.6 345◦29.7 2.6 -23◦41.5 -7.9 61.512 2◦26.0 -22◦18.0 359◦51.2 2.5 -23◦49.2 -7.7 61.513 17◦25.8 -22◦18.3 14◦12.6 2.4 -23◦56.8 -7.5 61.514 32◦25.5 -22◦18.6 28◦34.0 2.3 -24◦04.2 -7.3 61.415 47◦25.3 -22◦18.9 42◦55.3 2.3 -24◦11.4 -7.1 61.416 62◦25.0 -22◦19.3 57◦16.5 2.2 -24◦18.5 -6.9 61.417 77◦24.8 -22◦19.6 71◦37.7 2.1 -24◦25.3 -6.8 61.418 92◦24.5 -22◦19.9 85◦58.8 2.0 -24◦32.0 -6.6 61.419 107◦24.3 -22◦20.2 100◦19.8 2.0 -24◦38.4 -6.4 61.420 122◦24.0 -22◦20.5 114◦40.7 1.9 -24◦44.7 -6.2 61.421 137◦23.7 -22◦20.9 129◦01.6 1.9 -24◦50.8 -6.0 61.422 152◦23.5 -22◦21.2 143◦22.5 1.8 -24◦56.7 -5.8 61.423 167◦23.2 -22◦21.5 157◦43.2 1.8 -25◦02.4 -5.6 61.4

SD.=16.2 d=-0.3 S.D.=16.8

Sun GHA Dec GHA ν Dec d HP0 182◦23.0 -22◦21.8 172◦04.0 1.7 -25◦07.9 -5.4 61.41 197◦22.7 -22◦22.1 186◦24.6 1.7 -25◦13.2 -5.2 61.42 212◦22.4 -22◦22.5 200◦45.3 1.6 -25◦18.3 -5.0 61.43 227◦22.2 -22◦22.8 215◦05.9 1.6 -25◦23.2 -4.8 61.44 242◦21.9 -22◦23.1 229◦26.4 1.5 -25◦27.9 -4.6 61.45 257◦21.7 -22◦23.4 243◦46.9 1.5 -25◦32.4 -4.4 61.36 272◦21.4 -22◦23.7 258◦07.4 1.5 -25◦36.7 -4.2 61.37 287◦21.1 -22◦24.0 272◦27.9 1.4 -25◦40.8 -4.0 61.38 302◦20.9 -22◦24.3 286◦48.3 1.4 -25◦44.7 -3.8 61.39 317◦20.6 -22◦24.7 301◦08.7 1.4 -25◦48.4 -3.6 61.310 332◦20.4 -22◦25.0 315◦29.0 1.4 -25◦51.9 -3.4 61.311 347◦20.1 -22◦25.3 329◦49.4 1.3 -25◦55.2 -3.2 61.312 2◦19.8 -22◦25.6 344◦09.7 1.3 -25◦58.3 -3.0 61.313 17◦19.6 -22◦25.9 358◦30.0 1.3 -26◦01.2 -2.8 61.214 32◦19.3 -22◦26.2 12◦50.4 1.3 -26◦03.8 -2.6 61.215 47◦19.1 -22◦26.5 27◦10.7 1.3 -26◦06.3 -2.4 61.216 62◦18.8 -22◦26.8 41◦31.0 1.3 -26◦08.6 -2.2 61.217 77◦18.5 -22◦27.1 55◦51.3 1.3 -26◦10.6 -2.0 61.218 92◦18.3 -22◦27.4 70◦11.6 1.3 -26◦12.5 -1.7 61.219 107◦18.0 -22◦27.7 84◦31.9 1.3 -26◦14.1 -1.5 61.120 122◦17.8 -22◦28.0 98◦52.2 1.3 -26◦15.6 -1.3 61.121 137◦17.5 -22◦28.3 113◦12.5 1.3 -26◦16.8 -1.1 61.122 152◦17.2 -22◦28.6 127◦32.9 1.4 -26◦17.8 -0.9 61.123 167◦17.0 -22◦28.9 141◦53.2 1.4 -26◦18.6 -0.7 61.1

SD.=16.2 d=-0.3 S.D.=16.7

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 07:59 10:05 –:– –:– 13:35 15:4170 07:42 09:21 –:– –:– 14:19 15:5868 07:28 08:52 10:57 12:43 14:48 16:1266 07:16 08:30 09:58 13:42 15:10 16:2464 07:07 08:13 09:24 14:16 15:27 16:3362 06:58 07:58 09:00 14:40 15:42 16:4260 06:50 07:46 08:41 14:59 15:54 16:5058 06:44 07:35 08:25 15:15 16:05 16:5656 06:38 07:26 08:12 15:28 16:14 17:0354 06:32 07:17 08:00 15:40 16:23 17:0852 06:27 07:10 07:50 15:50 16:30 17:1350 06:22 07:03 07:41 15:60 16:37 17:1845 06:11 06:48 07:21 16:19 16:52 17:2940 06:02 06:35 07:06 16:35 17:05 17:3935 05:53 06:24 06:52 16:48 17:16 17:4730 05:45 06:15 06:41 16:60 17:26 17:5520 05:29 05:57 06:21 17:20 17:44 18:1110 05:14 05:40 06:03 17:37 18:00 18:260 04:58 05:24 05:47 17:54 18:16 18:42-10 04:40 05:07 05:30 18:11 18:34 19:00-20 04:19 04:48 05:12 18:29 18:53 19:22-30 03:51 04:24 04:51 18:50 19:17 19:50-35 03:34 04:10 04:39 19:02 19:31 20:07-40 03:12 03:53 04:25 19:16 19:48 20:29-45 02:44 03:31 04:08 19:33 20:10 20:58-50 02:03 03:04 03:47 19:54 20:37 21:39-52 01:39 02:50 03:37 20:04 20:51 22:03-54 01:07 02:34 03:26 20:16 21:08 22:37-56 –:– 02:14 03:13 20:29 21:27 –:–-58 –:– 01:49 02:57 20:44 21:53 –:–-60 –:– 01:14 02:39 21:03 22:30 –:–

Moonrise MoonsetLat. Fri Sat Sun Fri Sat Sun72 –:– –:– –:– –:– –:– –:–70 10:25 –:– –:– 11:12 –:– –:–68 08:59 –:– –:– 12:39 –:– –:–66 08:21 11:48 –:– 13:18 12:02 –:–64 07:55 10:14 –:– 13:45 13:36 –:–62 07:35 09:37 11:31 14:07 14:14 14:3860 07:18 09:10 10:52 14:24 14:41 15:1758 07:04 08:50 10:25 14:39 15:02 15:4456 06:52 08:33 10:04 14:51 15:20 16:0554 06:42 08:18 09:47 15:03 15:35 16:2352 06:33 08:06 09:32 15:12 15:48 16:3850 06:25 07:55 09:19 15:21 15:59 16:5145 06:07 07:32 08:52 15:40 16:23 17:1840 05:53 07:14 08:31 15:55 16:42 17:4035 05:41 06:58 08:13 16:08 16:58 17:5730 05:31 06:45 07:58 16:20 17:12 18:1320 05:14 06:23 07:33 16:39 17:36 18:3910 04:58 06:03 07:11 16:57 17:57 19:010 04:44 05:45 06:51 17:13 18:16 19:22-10 04:30 05:28 06:30 17:29 18:35 19:43-20 04:15 05:09 06:09 17:46 18:56 20:05-30 03:58 04:47 05:44 18:06 19:20 20:31-35 03:49 04:34 05:29 18:18 19:34 20:46-40 03:37 04:20 05:12 18:31 19:51 21:04-45 03:24 04:03 04:52 18:47 20:10 21:25-50 03:09 03:41 04:26 19:07 20:35 21:52-52 03:01 03:31 04:14 19:17 20:47 22:05-54 02:53 03:20 04:00 19:27 21:01 22:20-56 02:44 03:08 03:44 19:39 21:16 22:38-58 02:34 02:53 03:25 19:53 21:35 22:59-60 02:23 02:36 03:01 20:10 21:59 23:26

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower3 10:20 10:09 11:49 10:58 23:28 29(1%)4 09:57 09:44 11:50 12:00 00:33 0(0%)5 09:32 09:20 11:50 13:06 00:33 1(2%)

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December 06, 07 ,08 (Mon., Tue., Wed.)Aries Venus Mars Jupiter Saturn

Mon GHA GHA Dec GHA Dec GHA Dec GHA Dec0 74◦60.0 139◦34.7 -23◦50.5 202◦28.7 -18◦50.4 106◦18.8 -13◦48.1 122◦57.5 -18◦41.61 90◦02.4 154◦36.0 -23◦50.0 217◦29.4 -18◦50.9 121◦20.9 -13◦47.9 137◦59.8 -18◦41.52 105◦04.9 169◦37.3 -23◦49.5 232◦30.1 -18◦51.3 136◦23.0 -13◦47.8 153◦02.0 -18◦41.53 120◦07.3 184◦38.5 -23◦49.0 247◦30.8 -18◦51.8 151◦25.2 -13◦47.7 168◦04.3 -18◦41.44 135◦09.8 199◦39.8 -23◦48.5 262◦31.5 -18◦52.2 166◦27.3 -13◦47.5 183◦06.5 -18◦41.45 150◦12.3 214◦41.1 -23◦48.0 277◦32.2 -18◦52.7 181◦29.4 -13◦47.4 198◦08.8 -18◦41.36 165◦14.7 229◦42.4 -23◦47.5 292◦32.9 -18◦53.1 196◦31.5 -13◦47.3 213◦11.0 -18◦41.37 180◦17.2 244◦43.7 -23◦47.0 307◦33.5 -18◦53.5 211◦33.6 -13◦47.2 228◦13.3 -18◦41.28 195◦19.7 259◦44.9 -23◦46.5 322◦34.2 -18◦54.0 226◦35.7 -13◦47.0 243◦15.5 -18◦41.19 210◦22.1 274◦46.2 -23◦46.0 337◦34.9 -18◦54.4 241◦37.8 -13◦46.9 258◦17.8 -18◦41.110 225◦24.6 289◦47.5 -23◦45.5 352◦35.6 -18◦54.9 256◦40.0 -13◦46.8 273◦20.0 -18◦41.011 240◦27.1 304◦48.8 -23◦45.0 7◦36.3 -18◦55.3 271◦42.1 -13◦46.6 288◦22.3 -18◦41.012 255◦29.5 319◦50.1 -23◦44.5 22◦37.0 -18◦55.8 286◦44.2 -13◦46.5 303◦24.5 -18◦40.913 270◦32.0 334◦51.4 -23◦44.0 37◦37.7 -18◦56.2 301◦46.3 -13◦46.4 318◦26.8 -18◦40.914 285◦34.5 349◦52.7 -23◦43.5 52◦38.4 -18◦56.6 316◦48.4 -13◦46.3 333◦29.0 -18◦40.815 300◦36.9 4◦54.1 -23◦43.0 67◦39.1 -18◦57.1 331◦50.5 -13◦46.1 348◦31.3 -18◦40.716 315◦39.4 19◦55.4 -23◦42.5 82◦39.7 -18◦57.5 346◦52.6 -13◦46.0 3◦33.5 -18◦40.717 330◦41.8 34◦56.7 -23◦42.0 97◦40.4 -18◦58.0 1◦54.7 -13◦45.9 18◦35.8 -18◦40.618 345◦44.3 49◦58.0 -23◦41.5 112◦41.1 -18◦58.4 16◦56.8 -13◦45.7 33◦38.0 -18◦40.619 0◦46.8 64◦59.3 -23◦41.0 127◦41.8 -18◦58.8 31◦59.0 -13◦45.6 48◦40.2 -18◦40.520 15◦49.2 80◦00.7 -23◦40.5 142◦42.5 -18◦59.3 47◦01.1 -13◦45.5 63◦42.5 -18◦40.521 30◦51.7 95◦02.0 -23◦40.0 157◦43.2 -18◦59.7 62◦03.2 -13◦45.4 78◦44.7 -18◦40.422 45◦54.2 110◦03.3 -23◦39.5 172◦43.9 -19◦00.1 77◦05.3 -13◦45.2 93◦47.0 -18◦40.423 60◦56.6 125◦04.7 -23◦39.0 187◦44.6 -19◦00.6 92◦07.4 -13◦45.1 108◦49.2 -18◦40.3Mer.pass.:18:56 v1.3 d0.5 m-4.5 v0.7 d-0.4 m1.6 v2.1 d0.1 m-2.1 v2.2 d0.1 m0.7

Tue GHA GHA Dec GHA Dec GHA Dec GHA Dec0 75◦59.1 140◦06.0 -23◦38.5 202◦45.2 -19◦01.0 107◦09.5 -13◦45.0 123◦51.5 -18◦40.21 91◦01.6 155◦07.4 -23◦38.0 217◦45.9 -19◦01.5 122◦11.6 -13◦44.8 138◦53.7 -18◦40.22 106◦04.0 170◦08.7 -23◦37.5 232◦46.6 -19◦01.9 137◦13.7 -13◦44.7 153◦56.0 -18◦40.13 121◦06.5 185◦10.1 -23◦37.0 247◦47.3 -19◦02.3 152◦15.8 -13◦44.6 168◦58.2 -18◦40.14 136◦09.0 200◦11.4 -23◦36.5 262◦48.0 -19◦02.8 167◦17.9 -13◦44.4 184◦00.5 -18◦40.05 151◦11.4 215◦12.8 -23◦36.0 277◦48.7 -19◦03.2 182◦20.0 -13◦44.3 199◦02.7 -18◦40.06 166◦13.9 230◦14.1 -23◦35.5 292◦49.4 -19◦03.6 197◦22.2 -13◦44.2 214◦05.0 -18◦39.97 181◦16.3 245◦15.5 -23◦35.0 307◦50.0 -19◦04.1 212◦24.3 -13◦44.1 229◦07.2 -18◦39.88 196◦18.8 260◦16.9 -23◦34.5 322◦50.7 -19◦04.5 227◦26.4 -13◦43.9 244◦09.5 -18◦39.89 211◦21.3 275◦18.3 -23◦33.9 337◦51.4 -19◦05.0 242◦28.5 -13◦43.8 259◦11.7 -18◦39.710 226◦23.7 290◦19.6 -23◦33.4 352◦52.1 -19◦05.4 257◦30.6 -13◦43.7 274◦13.9 -18◦39.711 241◦26.2 305◦21.0 -23◦32.9 7◦52.8 -19◦05.8 272◦32.7 -13◦43.5 289◦16.2 -18◦39.612 256◦28.7 320◦22.4 -23◦32.4 22◦53.5 -19◦06.3 287◦34.8 -13◦43.4 304◦18.4 -18◦39.613 271◦31.1 335◦23.8 -23◦31.9 37◦54.1 -19◦06.7 302◦36.9 -13◦43.3 319◦20.7 -18◦39.514 286◦33.6 350◦25.2 -23◦31.4 52◦54.8 -19◦07.1 317◦39.0 -13◦43.1 334◦22.9 -18◦39.415 301◦36.1 5◦26.6 -23◦30.9 67◦55.5 -19◦07.6 332◦41.1 -13◦43.0 349◦25.2 -18◦39.416 316◦38.5 20◦28.0 -23◦30.4 82◦56.2 -19◦08.0 347◦43.2 -13◦42.9 4◦27.4 -18◦39.317 331◦41.0 35◦29.4 -23◦29.9 97◦56.9 -19◦08.4 2◦45.3 -13◦42.8 19◦29.7 -18◦39.318 346◦43.5 50◦30.8 -23◦29.4 112◦57.6 -19◦08.9 17◦47.4 -13◦42.6 34◦31.9 -18◦39.219 1◦45.9 65◦32.2 -23◦28.9 127◦58.2 -19◦09.3 32◦49.5 -13◦42.5 49◦34.2 -18◦39.220 16◦48.4 80◦33.6 -23◦28.4 142◦58.9 -19◦09.7 47◦51.6 -13◦42.4 64◦36.4 -18◦39.121 31◦50.8 95◦35.0 -23◦27.9 157◦59.6 -19◦10.2 62◦53.8 -13◦42.2 79◦38.6 -18◦39.022 46◦53.3 110◦36.4 -23◦27.4 173◦00.3 -19◦10.6 77◦55.9 -13◦42.1 94◦40.9 -18◦39.023 61◦55.8 125◦37.9 -23◦26.9 188◦01.0 -19◦11.0 92◦58.0 -13◦42.0 109◦43.1 -18◦38.9Mer.pass.:18:52 v1.3 d0.5 m-4.5 v0.7 d-0.4 m1.6 v2.1 d0.1 m-2.1 v2.2 d0.1 m0.7

Wed GHA GHA Dec GHA Dec GHA Dec GHA Dec0 76◦58.2 140◦39.3 -23◦26.4 203◦01.7 -19◦11.5 108◦00.1 -13◦41.8 124◦45.4 -18◦38.91 92◦00.7 155◦40.7 -23◦25.8 218◦02.3 -19◦11.9 123◦02.2 -13◦41.7 139◦47.6 -18◦38.82 107◦03.2 170◦42.2 -23◦25.3 233◦03.0 -19◦12.3 138◦04.3 -13◦41.6 154◦49.9 -18◦38.83 122◦05.6 185◦43.6 -23◦24.8 248◦03.7 -19◦12.7 153◦06.4 -13◦41.4 169◦52.1 -18◦38.74 137◦08.1 200◦45.0 -23◦24.3 263◦04.4 -19◦13.2 168◦08.5 -13◦41.3 184◦54.3 -18◦38.65 152◦10.6 215◦46.5 -23◦23.8 278◦05.1 -19◦13.6 183◦10.6 -13◦41.2 199◦56.6 -18◦38.66 167◦13.0 230◦47.9 -23◦23.3 293◦05.7 -19◦14.0 198◦12.7 -13◦41.0 214◦58.8 -18◦38.57 182◦15.5 245◦49.4 -23◦22.8 308◦06.4 -19◦14.5 213◦14.8 -13◦40.9 230◦01.1 -18◦38.58 197◦18.0 260◦50.8 -23◦22.3 323◦07.1 -19◦14.9 228◦16.9 -13◦40.8 245◦03.3 -18◦38.49 212◦20.4 275◦52.3 -23◦21.8 338◦07.8 -19◦15.3 243◦19.0 -13◦40.6 260◦05.6 -18◦38.410 227◦22.9 290◦53.8 -23◦21.3 353◦08.5 -19◦15.8 258◦21.1 -13◦40.5 275◦07.8 -18◦38.311 242◦25.3 305◦55.2 -23◦20.7 8◦09.1 -19◦16.2 273◦23.2 -13◦40.4 290◦10.0 -18◦38.212 257◦27.8 320◦56.7 -23◦20.2 23◦09.8 -19◦16.6 288◦25.3 -13◦40.2 305◦12.3 -18◦38.213 272◦30.3 335◦58.2 -23◦19.7 38◦10.5 -19◦17.0 303◦27.4 -13◦40.1 320◦14.5 -18◦38.114 287◦32.7 350◦59.6 -23◦19.2 53◦11.2 -19◦17.5 318◦29.5 -13◦40.0 335◦16.8 -18◦38.115 302◦35.2 6◦01.1 -23◦18.7 68◦11.8 -19◦17.9 333◦31.6 -13◦39.8 350◦19.0 -18◦38.016 317◦37.7 21◦02.6 -23◦18.2 83◦12.5 -19◦18.3 348◦33.7 -13◦39.7 5◦21.3 -18◦37.917 332◦40.1 36◦04.1 -23◦17.7 98◦13.2 -19◦18.7 3◦35.8 -13◦39.6 20◦23.5 -18◦37.918 347◦42.6 51◦05.6 -23◦17.2 113◦13.9 -19◦19.2 18◦37.9 -13◦39.4 35◦25.7 -18◦37.819 2◦45.1 66◦07.1 -23◦16.7 128◦14.6 -19◦19.6 33◦40.0 -13◦39.3 50◦28.0 -18◦37.820 17◦47.5 81◦08.6 -23◦16.1 143◦15.2 -19◦20.0 48◦42.1 -13◦39.2 65◦30.2 -18◦37.721 32◦50.0 96◦10.1 -23◦15.6 158◦15.9 -19◦20.4 63◦44.2 -13◦39.0 80◦32.5 -18◦37.722 47◦52.5 111◦11.6 -23◦15.1 173◦16.6 -19◦20.9 78◦46.3 -13◦38.9 95◦34.7 -18◦37.623 62◦54.9 126◦13.1 -23◦14.6 188◦17.3 -19◦21.3 93◦48.4 -13◦38.8 110◦37.0 -18◦37.5Mer.pass.:18:49 v1.4 d0.5 m-4.5 v0.7 d-0.4 m1.6 v2.1 d0.1 m-2.1 v2.2 d0.1 m0.7

StarsSHA Dec

Alpheratz 357◦37.3 29◦12.8Ankaa 353◦09.5 -42◦11.5

Schedar 349◦33.6 56◦39.6Diphda 348◦49.6 -17◦52.1

Achernar 335◦21.8 -57◦07.8Hamal 327◦53.8 23◦34.0Polaris 314◦47.2 89◦21.5Akamar 315◦13.4 -40◦13.2Menkar 314◦08.5 4◦10.5Mirfak 308◦31.4 49◦56.4

Aldebaran 290◦42.2 16◦33.2Rigel 281◦06.0 -8◦10.6

Capella 280◦25.2 46◦01.2Bellatrix 278◦25.3 6◦22.1Elnath 278◦04.7 28◦37.5Alnilam 275◦40.0 -1◦11.3

Betelgeuse 270◦54.5 7◦24.6Canopus 263◦53.0 -52◦42.3

Sirius 258◦28.1 -16◦44.5Adara 255◦07.5 -29◦00.0

Procyon 244◦53.1 5◦10.3Pollux 243◦20.0 27◦58.3Avior 234◦15.3 -59◦34.5Suhail 222◦47.9 -43◦31.0

Miaplacidus 221◦38.3 -69◦48.1Alphard 217◦50.1 -8◦45.1Regulus 207◦37.0 11◦51.6Dubhe 193◦44.2 61◦37.8

Denebola 182◦27.5 14◦27.0Gienah 175◦46.3 -17◦39.6Acrux 173◦03.1 -63◦12.8

Gacrux 171◦54.6 -57◦13.8Alioth 166◦15.6 55◦50.3Spica 158◦25.2 -11◦16.3Alcaid 152◦54.4 49◦12.2Hadar 148◦40.0 -60◦28.4

Menkent 148◦00.9 -36◦28.4Arcturus 145◦50.4 19◦04.4

Rigil Kent. 139◦44.3 -60◦55.2Zubenelg. 136◦59.1 -16◦07.8Kochab 137◦20.9 74◦03.8

Alphecca 126◦06.3 26◦38.5Antares 112◦19.3 -26◦28.7

Atria 107◦16.4 -69◦03.9Sabik 102◦06.1 -15◦45.0

Shaula 96◦14.3 -37◦07.1Rasalhague 96◦01.3 12◦32.8

Etamin 90◦43.9 51◦29.2Kaus Aust. 83◦36.3 -34◦22.4

Vega 80◦35.4 38◦48.3Nunki 75◦51.3 -26◦16.2Altair 62◦02.8 8◦55.6

Peacock 53◦10.2 -56◦40.1Deneb 49◦27.8 45◦21.7

Enif 33◦41.4 9◦58.6Alnair 27◦36.3 -46◦51.5

Fomalhaut 15◦17.4 -29◦30.6Scheat 13◦47.7 28◦12.2Markab 13◦32.4 15◦19.4

2021/12/ SHA Mer.passVenus 64◦34.8 14:40Mars 127◦28.8 10:30

Jupiter 31◦18.9 16:52Saturn 47◦57.6 15:46

2021/12/ SHA Mer.passVenus 64◦06.9 14:38Mars 126◦46.1 10:29

Jupiter 31◦10.4 16:49Saturn 47◦52.4 15:42

2021/12/ SHA Mer.passVenus 63◦41.1 14:36Mars 126◦03.4 10:27

Jupiter 31◦01.8 16:46Saturn 47◦47.1 15:39

Horizontal paralaxVenus: 0.4Mars: 0.1

228

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2021 December 06 to Dec. 08

h Sun MoonMon GHA Dec GHA ν Dec d HP0 182◦16.7 -22◦29.2 156◦13.6 1.4 -26◦19.3 -0.5 61.01 197◦16.4 -22◦29.5 170◦34.1 1.4 -26◦19.7 -0.3 61.02 212◦16.2 -22◦29.8 184◦54.5 1.5 -26◦19.9 -0.1 61.03 227◦15.9 -22◦30.1 199◦15.0 1.5 -26◦19.9 0.1 61.04 242◦15.6 -22◦30.4 213◦35.5 1.5 -26◦19.7 0.3 60.95 257◦15.4 -22◦30.7 227◦56.0 1.6 -26◦19.3 0.5 60.96 272◦15.1 -22◦31.0 242◦16.6 1.6 -26◦18.7 0.7 60.97 287◦14.8 -22◦31.3 256◦37.3 1.7 -26◦17.9 0.9 60.98 302◦14.6 -22◦31.6 270◦58.0 1.7 -26◦16.8 1.1 60.89 317◦14.3 -22◦31.9 285◦18.7 1.8 -26◦15.6 1.3 60.810 332◦14.0 -22◦32.2 299◦39.5 1.8 -26◦14.2 1.5 60.811 347◦13.8 -22◦32.5 314◦00.3 1.9 -26◦12.6 1.7 60.812 2◦13.5 -22◦32.8 328◦21.2 1.9 -26◦10.8 1.9 60.713 17◦13.2 -22◦33.1 342◦42.2 2.0 -26◦08.8 2.1 60.714 32◦13.0 -22◦33.4 357◦03.2 2.1 -26◦06.6 2.3 60.715 47◦12.7 -22◦33.7 11◦24.3 2.1 -26◦04.2 2.5 60.716 62◦12.4 -22◦33.9 25◦45.5 2.2 -26◦01.6 2.7 60.617 77◦12.2 -22◦34.2 40◦06.7 2.3 -25◦58.8 2.9 60.618 92◦11.9 -22◦34.5 54◦28.1 2.4 -25◦55.9 3.1 60.619 107◦11.6 -22◦34.8 68◦49.5 2.4 -25◦52.7 3.3 60.520 122◦11.4 -22◦35.1 83◦10.9 2.5 -25◦49.4 3.4 60.521 137◦11.1 -22◦35.4 97◦32.5 2.6 -25◦45.8 3.6 60.522 152◦10.8 -22◦35.7 111◦54.2 2.7 -25◦42.1 3.8 60.523 167◦10.6 -22◦35.9 126◦15.9 2.8 -25◦38.2 4.0 60.4

SD.=16.2 d=-0.3 S.D.=16.7

Tue GHA Dec GHA ν Dec d HP0 182◦10.3 -22◦36.2 140◦37.7 2.9 -25◦34.1 4.2 60.41 197◦10.0 -22◦36.5 154◦59.6 3.0 -25◦29.8 4.4 60.42 212◦09.8 -22◦36.8 169◦21.7 3.1 -25◦25.4 4.5 60.33 227◦09.5 -22◦37.1 183◦43.8 3.2 -25◦20.7 4.7 60.34 242◦09.2 -22◦37.3 198◦06.0 3.3 -25◦15.9 4.9 60.35 257◦09.0 -22◦37.6 212◦28.3 3.4 -25◦10.9 5.1 60.26 272◦08.7 -22◦37.9 226◦50.7 3.5 -25◦05.8 5.2 60.27 287◦08.4 -22◦38.2 241◦13.2 3.6 -25◦00.4 5.4 60.28 302◦08.1 -22◦38.5 255◦35.8 3.7 -24◦54.9 5.6 60.19 317◦07.9 -22◦38.7 269◦58.6 3.8 -24◦49.3 5.8 60.110 332◦07.6 -22◦39.0 284◦21.4 3.9 -24◦43.4 5.9 60.111 347◦07.3 -22◦39.3 298◦44.4 4.0 -24◦37.4 6.1 60.012 2◦07.1 -22◦39.5 313◦07.4 4.1 -24◦31.2 6.3 60.013 17◦06.8 -22◦39.8 327◦30.6 4.2 -24◦24.9 6.4 60.014 32◦06.5 -22◦40.1 341◦53.9 4.4 -24◦18.4 6.6 59.915 47◦06.2 -22◦40.4 356◦17.3 4.5 -24◦11.7 6.7 59.916 62◦06.0 -22◦40.6 10◦40.9 4.6 -24◦04.9 6.9 59.817 77◦05.7 -22◦40.9 25◦04.5 4.7 -23◦58.0 7.0 59.818 92◦05.4 -22◦41.2 39◦28.3 4.8 -23◦50.8 7.2 59.819 107◦05.1 -22◦41.4 53◦52.2 5.0 -23◦43.6 7.3 59.720 122◦04.9 -22◦41.7 68◦16.2 5.1 -23◦36.2 7.5 59.721 137◦04.6 -22◦42.0 82◦40.4 5.2 -23◦28.6 7.6 59.722 152◦04.3 -22◦42.2 97◦04.6 5.3 -23◦20.9 7.8 59.623 167◦04.1 -22◦42.5 111◦29.0 5.5 -23◦13.0 7.9 59.6

SD.=16.2 d=-0.3 S.D.=16.5

Wed GHA Dec GHA ν Dec d HP0 182◦03.8 -22◦42.8 125◦53.5 5.6 -23◦05.0 8.1 59.61 197◦03.5 -22◦43.0 140◦18.2 5.7 -22◦56.9 8.2 59.52 212◦03.2 -22◦43.3 154◦42.9 5.8 -22◦48.6 8.3 59.53 227◦03.0 -22◦43.5 169◦07.8 6.0 -22◦40.2 8.5 59.44 242◦02.7 -22◦43.8 183◦32.9 6.1 -22◦31.7 8.6 59.45 257◦02.4 -22◦44.1 197◦58.0 6.2 -22◦23.0 8.7 59.46 272◦02.1 -22◦44.3 212◦23.3 6.3 -22◦14.2 8.9 59.37 287◦01.9 -22◦44.6 226◦48.7 6.5 -22◦05.2 9.0 59.38 302◦01.6 -22◦44.8 241◦14.3 6.6 -21◦56.2 9.1 59.29 317◦01.3 -22◦45.1 255◦39.9 6.7 -21◦47.0 9.2 59.210 332◦01.0 -22◦45.4 270◦05.7 6.9 -21◦37.7 9.4 59.211 347◦00.8 -22◦45.6 284◦31.7 7.0 -21◦28.2 9.5 59.112 2◦00.5 -22◦45.9 298◦57.7 7.1 -21◦18.7 9.6 59.113 17◦00.2 -22◦46.1 313◦23.9 7.3 -21◦09.0 9.7 59.014 31◦59.9 -22◦46.4 327◦50.2 7.4 -20◦59.2 9.8 59.015 46◦59.6 -22◦46.6 342◦16.7 7.5 -20◦49.3 9.9 59.016 61◦59.4 -22◦46.9 356◦43.3 7.6 -20◦39.3 10.1 58.917 76◦59.1 -22◦47.1 11◦10.0 7.8 -20◦29.2 10.2 58.918 91◦58.8 -22◦47.4 25◦36.8 7.9 -20◦19.0 10.3 58.919 106◦58.5 -22◦47.6 40◦03.8 8.0 -20◦08.7 10.4 58.820 121◦58.3 -22◦47.9 54◦30.9 8.2 -19◦58.3 10.5 58.821 136◦58.0 -22◦48.1 68◦58.1 8.3 -19◦47.7 10.6 58.722 151◦57.7 -22◦48.4 83◦25.5 8.4 -19◦37.1 10.7 58.723 166◦57.4 -22◦48.6 97◦52.9 8.5 -19◦26.4 10.8 58.7

SD.=16.2 d=-0.3 S.D.=16.2

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 08:06 10:18 –:– –:– 13:25 15:3670 07:48 09:30 –:– –:– 14:13 15:5468 07:34 08:59 11:21 12:22 14:43 16:0966 07:22 08:36 10:07 13:35 15:06 16:2164 07:11 08:18 09:32 14:11 15:25 16:3162 07:02 08:03 09:06 14:37 15:40 16:4060 06:55 07:50 08:46 14:56 15:52 16:4858 06:48 07:39 08:30 15:13 16:03 16:5556 06:41 07:30 08:16 15:27 16:13 17:0254 06:35 07:21 08:04 15:39 16:22 17:0752 06:30 07:13 07:54 15:49 16:29 17:1350 06:25 07:06 07:44 15:59 16:37 17:1845 06:14 06:51 07:24 16:18 16:52 17:2940 06:04 06:38 07:08 16:35 17:05 17:3935 05:55 06:27 06:55 16:48 17:16 17:4830 05:47 06:17 06:43 17:00 17:26 17:5620 05:31 05:59 06:22 17:21 17:44 18:1210 05:16 05:42 06:05 17:38 18:01 18:270 04:59 05:25 05:48 17:55 18:18 18:44-10 04:41 05:08 05:31 18:12 18:35 19:02-20 04:19 04:48 05:13 18:31 18:55 19:24-30 03:51 04:24 04:51 18:52 19:19 19:52-35 03:33 04:10 04:39 19:04 19:34 20:10-40 03:11 03:52 04:24 19:19 19:51 20:32-45 02:42 03:30 04:07 19:36 20:13 21:02-50 01:60 03:02 03:46 19:58 20:41 21:44-52 01:35 02:48 03:35 20:08 20:56 22:09-54 00:59 02:31 03:24 20:20 21:13 22:46-56 –:– 02:11 03:10 20:33 21:33 –:–-58 –:– 01:45 02:55 20:49 21:60 –:–-60 –:– 01:06 02:36 21:08 22:40 –:–

Moonrise MoonsetLat. Mon Tue Wed Mon Tue Wed72 –:– –:– –:– –:– –:– –:–70 –:– –:– –:– –:– –:– –:–68 –:– –:– 14:57 –:– –:– 17:4666 –:– –:– 14:10 –:– –:– 18:3364 –:– 13:48 13:39 –:– 16:52 19:0362 12:43 13:07 13:15 15:45 17:33 19:2560 12:03 12:39 12:56 16:25 18:00 19:4358 11:36 12:17 12:41 16:52 18:22 19:5856 11:14 11:59 12:27 17:13 18:39 20:1154 10:56 11:44 12:16 17:31 18:54 20:2252 10:41 11:31 12:05 17:46 19:07 20:3250 10:28 11:19 11:56 17:59 19:18 20:4045 10:01 10:55 11:36 18:26 19:41 20:5940 09:39 10:36 11:20 18:47 19:60 21:1435 09:21 10:19 11:07 19:05 20:16 21:2630 09:06 10:05 10:55 19:20 20:29 21:3720 08:40 09:41 10:35 19:45 20:52 21:5610 08:18 09:20 10:17 20:07 21:12 22:120 07:57 09:01 10:00 20:28 21:30 22:27-10 07:36 08:41 09:44 20:48 21:48 22:41-20 07:13 08:20 09:26 21:10 22:07 22:57-30 06:48 07:56 09:05 21:35 22:30 23:15-35 06:32 07:42 08:53 21:50 22:43 23:26-40 06:15 07:25 08:39 22:07 22:57 23:37-45 05:53 07:05 08:22 22:27 23:15 23:51-50 05:26 06:40 08:02 22:53 23:37 –:–-52 05:13 06:28 07:52 23:05 23:47 –:–-54 04:58 06:14 07:41 23:19 23:59 –:–-56 04:41 05:58 07:28 23:36 –:– 00:12-58 04:19 05:39 07:13 23:55 –:– 00:27-60 03:52 05:15 06:56 –:– 00:19 00:45

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower6 09:07 08:54 11:51 14:12 01:39 2(7%)7 08:41 08:28 11:51 15:15 02:44 3(15%)8 08:15 08:02 11:51 16:13 03:45 4(24%)

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December 09, 10 ,11 (Thu., Fri., Sat.)Aries Venus Mars Jupiter Saturn

Thu GHA GHA Dec GHA Dec GHA Dec GHA Dec0 77◦57.4 141◦14.6 -23◦14.1 203◦17.9 -19◦21.7 108◦50.5 -13◦38.6 125◦39.2 -18◦37.51 92◦59.8 156◦16.1 -23◦13.6 218◦18.6 -19◦22.1 123◦52.6 -13◦38.5 140◦41.4 -18◦37.42 108◦02.3 171◦17.7 -23◦13.1 233◦19.3 -19◦22.6 138◦54.7 -13◦38.4 155◦43.7 -18◦37.43 123◦04.8 186◦19.2 -23◦12.5 248◦20.0 -19◦23.0 153◦56.8 -13◦38.2 170◦45.9 -18◦37.34 138◦07.2 201◦20.7 -23◦12.0 263◦20.6 -19◦23.4 168◦58.9 -13◦38.1 185◦48.2 -18◦37.25 153◦09.7 216◦22.2 -23◦11.5 278◦21.3 -19◦23.8 184◦01.0 -13◦38.0 200◦50.4 -18◦37.26 168◦12.2 231◦23.8 -23◦11.0 293◦22.0 -19◦24.3 199◦03.1 -13◦37.8 215◦52.6 -18◦37.17 183◦14.6 246◦25.3 -23◦10.5 308◦22.7 -19◦24.7 214◦05.2 -13◦37.7 230◦54.9 -18◦37.18 198◦17.1 261◦26.9 -23◦10.0 323◦23.3 -19◦25.1 229◦07.3 -13◦37.6 245◦57.1 -18◦37.09 213◦19.6 276◦28.4 -23◦09.5 338◦24.0 -19◦25.5 244◦09.4 -13◦37.4 260◦59.4 -18◦37.010 228◦22.0 291◦30.0 -23◦08.9 353◦24.7 -19◦26.0 259◦11.5 -13◦37.3 276◦01.6 -18◦36.911 243◦24.5 306◦31.5 -23◦08.4 8◦25.4 -19◦26.4 274◦13.6 -13◦37.2 291◦03.8 -18◦36.812 258◦26.9 321◦33.1 -23◦07.9 23◦26.0 -19◦26.8 289◦15.7 -13◦37.0 306◦06.1 -18◦36.813 273◦29.4 336◦34.6 -23◦07.4 38◦26.7 -19◦27.2 304◦17.8 -13◦36.9 321◦08.3 -18◦36.714 288◦31.9 351◦36.2 -23◦06.9 53◦27.4 -19◦27.6 319◦19.9 -13◦36.8 336◦10.6 -18◦36.715 303◦34.3 6◦37.8 -23◦06.4 68◦28.0 -19◦28.1 334◦21.9 -13◦36.6 351◦12.8 -18◦36.616 318◦36.8 21◦39.4 -23◦05.8 83◦28.7 -19◦28.5 349◦24.0 -13◦36.5 6◦15.0 -18◦36.517 333◦39.3 36◦40.9 -23◦05.3 98◦29.4 -19◦28.9 4◦26.1 -13◦36.4 21◦17.3 -18◦36.518 348◦41.7 51◦42.5 -23◦04.8 113◦30.1 -19◦29.3 19◦28.2 -13◦36.2 36◦19.5 -18◦36.419 3◦44.2 66◦44.1 -23◦04.3 128◦30.7 -19◦29.7 34◦30.3 -13◦36.1 51◦21.8 -18◦36.420 18◦46.7 81◦45.7 -23◦03.8 143◦31.4 -19◦30.2 49◦32.4 -13◦35.9 66◦24.0 -18◦36.321 33◦49.1 96◦47.3 -23◦03.3 158◦32.1 -19◦30.6 64◦34.5 -13◦35.8 81◦26.2 -18◦36.222 48◦51.6 111◦48.9 -23◦02.7 173◦32.7 -19◦31.0 79◦36.6 -13◦35.7 96◦28.5 -18◦36.223 63◦54.1 126◦50.5 -23◦02.2 188◦33.4 -19◦31.4 94◦38.7 -13◦35.5 111◦30.7 -18◦36.1Mer.pass.:18:45 v1.5 d0.5 m-4.4 v0.7 d-0.4 m1.6 v2.1 d0.1 m-2.1 v2.2 d0.1 m0.7

Fri GHA GHA Dec GHA Dec GHA Dec GHA Dec0 78◦56.5 141◦52.1 -23◦01.7 203◦34.1 -19◦31.8 109◦40.8 -13◦35.4 126◦33.0 -18◦36.11 93◦59.0 156◦53.7 -23◦01.2 218◦34.8 -19◦32.3 124◦42.9 -13◦35.3 141◦35.2 -18◦36.02 109◦01.4 171◦55.3 -23◦00.7 233◦35.4 -19◦32.7 139◦45.0 -13◦35.1 156◦37.4 -18◦36.03 124◦03.9 186◦56.9 -23◦00.2 248◦36.1 -19◦33.1 154◦47.1 -13◦35.0 171◦39.7 -18◦35.94 139◦06.4 201◦58.5 -22◦59.6 263◦36.8 -19◦33.5 169◦49.2 -13◦34.9 186◦41.9 -18◦35.85 154◦08.8 217◦00.2 -22◦59.1 278◦37.4 -19◦33.9 184◦51.3 -13◦34.7 201◦44.1 -18◦35.86 169◦11.3 232◦01.8 -22◦58.6 293◦38.1 -19◦34.3 199◦53.4 -13◦34.6 216◦46.4 -18◦35.77 184◦13.8 247◦03.4 -22◦58.1 308◦38.8 -19◦34.8 214◦55.4 -13◦34.4 231◦48.6 -18◦35.78 199◦16.2 262◦05.0 -22◦57.6 323◦39.4 -19◦35.2 229◦57.5 -13◦34.3 246◦50.9 -18◦35.69 214◦18.7 277◦06.7 -22◦57.0 338◦40.1 -19◦35.6 244◦59.6 -13◦34.2 261◦53.1 -18◦35.510 229◦21.2 292◦08.3 -22◦56.5 353◦40.8 -19◦36.0 260◦01.7 -13◦34.0 276◦55.3 -18◦35.511 244◦23.6 307◦10.0 -22◦56.0 8◦41.4 -19◦36.4 275◦03.8 -13◦33.9 291◦57.6 -18◦35.412 259◦26.1 322◦11.6 -22◦55.5 23◦42.1 -19◦36.8 290◦05.9 -13◦33.8 306◦59.8 -18◦35.413 274◦28.6 337◦13.3 -22◦55.0 38◦42.8 -19◦37.2 305◦08.0 -13◦33.6 322◦02.0 -18◦35.314 289◦31.0 352◦14.9 -22◦54.4 53◦43.5 -19◦37.7 320◦10.1 -13◦33.5 337◦04.3 -18◦35.215 304◦33.5 7◦16.6 -22◦53.9 68◦44.1 -19◦38.1 335◦12.2 -13◦33.4 352◦06.5 -18◦35.216 319◦35.9 22◦18.3 -22◦53.4 83◦44.8 -19◦38.5 350◦14.3 -13◦33.2 7◦08.8 -18◦35.117 334◦38.4 37◦19.9 -22◦52.9 98◦45.5 -19◦38.9 5◦16.4 -13◦33.1 22◦11.0 -18◦35.118 349◦40.9 52◦21.6 -22◦52.4 113◦46.1 -19◦39.3 20◦18.4 -13◦32.9 37◦13.2 -18◦35.019 4◦43.3 67◦23.3 -22◦51.8 128◦46.8 -19◦39.7 35◦20.5 -13◦32.8 52◦15.5 -18◦34.920 19◦45.8 82◦25.0 -22◦51.3 143◦47.5 -19◦40.1 50◦22.6 -13◦32.7 67◦17.7 -18◦34.921 34◦48.3 97◦26.6 -22◦50.8 158◦48.1 -19◦40.6 65◦24.7 -13◦32.5 82◦19.9 -18◦34.822 49◦50.7 112◦28.3 -22◦50.3 173◦48.8 -19◦41.0 80◦26.8 -13◦32.4 97◦22.2 -18◦34.823 64◦53.2 127◦30.0 -22◦49.8 188◦49.4 -19◦41.4 95◦28.9 -13◦32.3 112◦24.4 -18◦34.7Mer.pass.:18:41 v1.6 d0.5 m-4.4 v0.7 d-0.4 m1.6 v2.1 d0.1 m-2.1 v2.2 d0.1 m0.7

Sat GHA GHA Dec GHA Dec GHA Dec GHA Dec0 79◦55.7 142◦31.7 -22◦49.2 203◦50.1 -19◦41.8 110◦31.0 -13◦32.1 127◦26.6 -18◦34.61 94◦58.1 157◦33.4 -22◦48.7 218◦50.8 -19◦42.2 125◦33.1 -13◦32.0 142◦28.9 -18◦34.62 110◦00.6 172◦35.1 -22◦48.2 233◦51.4 -19◦42.6 140◦35.2 -13◦31.8 157◦31.1 -18◦34.53 125◦03.0 187◦36.8 -22◦47.7 248◦52.1 -19◦43.0 155◦37.2 -13◦31.7 172◦33.4 -18◦34.54 140◦05.5 202◦38.5 -22◦47.1 263◦52.8 -19◦43.4 170◦39.3 -13◦31.6 187◦35.6 -18◦34.45 155◦08.0 217◦40.3 -22◦46.6 278◦53.4 -19◦43.8 185◦41.4 -13◦31.4 202◦37.8 -18◦34.36 170◦10.4 232◦42.0 -22◦46.1 293◦54.1 -19◦44.3 200◦43.5 -13◦31.3 217◦40.1 -18◦34.37 185◦12.9 247◦43.7 -22◦45.6 308◦54.8 -19◦44.7 215◦45.6 -13◦31.1 232◦42.3 -18◦34.28 200◦15.4 262◦45.4 -22◦45.1 323◦55.4 -19◦45.1 230◦47.7 -13◦31.0 247◦44.5 -18◦34.29 215◦17.8 277◦47.2 -22◦44.5 338◦56.1 -19◦45.5 245◦49.8 -13◦30.9 262◦46.8 -18◦34.110 230◦20.3 292◦48.9 -22◦44.0 353◦56.8 -19◦45.9 260◦51.8 -13◦30.7 277◦49.0 -18◦34.011 245◦22.8 307◦50.6 -22◦43.5 8◦57.4 -19◦46.3 275◦53.9 -13◦30.6 292◦51.2 -18◦34.012 260◦25.2 322◦52.4 -22◦43.0 23◦58.1 -19◦46.7 290◦56.0 -13◦30.5 307◦53.5 -18◦33.913 275◦27.7 337◦54.1 -22◦42.4 38◦58.7 -19◦47.1 305◦58.1 -13◦30.3 322◦55.7 -18◦33.914 290◦30.2 352◦55.9 -22◦41.9 53◦59.4 -19◦47.5 321◦00.2 -13◦30.2 337◦57.9 -18◦33.815 305◦32.6 7◦57.6 -22◦41.4 69◦00.1 -19◦47.9 336◦02.3 -13◦30.0 353◦00.2 -18◦33.716 320◦35.1 22◦59.4 -22◦40.9 84◦00.7 -19◦48.3 351◦04.4 -13◦29.9 8◦02.4 -18◦33.717 335◦37.5 38◦01.2 -22◦40.3 99◦01.4 -19◦48.7 6◦06.4 -13◦29.8 23◦04.6 -18◦33.618 350◦40.0 53◦02.9 -22◦39.8 114◦02.1 -19◦49.1 21◦08.5 -13◦29.6 38◦06.9 -18◦33.619 5◦42.5 68◦04.7 -22◦39.3 129◦02.7 -19◦49.6 36◦10.6 -13◦29.5 53◦09.1 -18◦33.520 20◦44.9 83◦06.5 -22◦38.8 144◦03.4 -19◦50.0 51◦12.7 -13◦29.3 68◦11.3 -18◦33.421 35◦47.4 98◦08.3 -22◦38.3 159◦04.0 -19◦50.4 66◦14.8 -13◦29.2 83◦13.6 -18◦33.422 50◦49.9 113◦10.0 -22◦37.7 174◦04.7 -19◦50.8 81◦16.9 -13◦29.1 98◦15.8 -18◦33.323 65◦52.3 128◦11.8 -22◦37.2 189◦05.4 -19◦51.2 96◦19.0 -13◦28.9 113◦18.0 -18◦33.3Mer.pass.:18:37 v1.7 d0.5 m-4.4 v0.7 d-0.4 m1.6 v2.1 d0.1 m-2.1 v2.2 d0.1 m0.7

StarsSHA Dec

Alpheratz 357◦37.3 29◦12.8Ankaa 353◦09.5 -42◦11.5

Schedar 349◦33.7 56◦39.6Diphda 348◦49.6 -17◦52.1

Achernar 335◦21.8 -57◦07.8Hamal 327◦53.8 23◦34.0Polaris 314◦47.8 89◦21.5Akamar 315◦13.4 -40◦13.2Menkar 314◦08.5 4◦10.5Mirfak 308◦31.4 49◦56.4

Aldebaran 290◦42.2 16◦33.2Rigel 281◦06.0 -8◦10.6

Capella 280◦25.2 46◦01.2Bellatrix 278◦25.3 6◦22.1Elnath 278◦04.7 28◦37.5Alnilam 275◦40.0 -1◦11.3

Betelgeuse 270◦54.5 7◦24.6Canopus 263◦53.0 -52◦42.3

Sirius 258◦28.1 -16◦44.5Adara 255◦07.5 -29◦00.0

Procyon 244◦53.1 5◦10.3Pollux 243◦20.0 27◦58.3Avior 234◦15.3 -59◦34.5Suhail 222◦47.9 -43◦31.0

Miaplacidus 221◦38.2 -69◦48.1Alphard 217◦50.1 -8◦45.1Regulus 207◦37.0 11◦51.6Dubhe 193◦44.1 61◦37.8

Denebola 182◦27.5 14◦27.0Gienah 175◦46.2 -17◦39.6Acrux 173◦03.1 -63◦12.8

Gacrux 171◦54.6 -57◦13.8Alioth 166◦15.6 55◦50.3Spica 158◦25.2 -11◦16.3Alcaid 152◦54.4 49◦12.1Hadar 148◦40.0 -60◦28.4

Menkent 148◦00.9 -36◦28.4Arcturus 145◦50.3 19◦04.4

Rigil Kent. 139◦44.3 -60◦55.2Zubenelg. 136◦59.1 -16◦07.8Kochab 137◦20.8 74◦03.8

Alphecca 126◦06.3 26◦38.5Antares 112◦19.3 -26◦28.7

Atria 107◦16.4 -69◦03.9Sabik 102◦06.0 -15◦45.0

Shaula 96◦14.2 -37◦07.1Rasalhague 96◦01.3 12◦32.7

Etamin 90◦43.9 51◦29.2Kaus Aust. 83◦36.3 -34◦22.4

Vega 80◦35.4 38◦48.3Nunki 75◦51.3 -26◦16.2Altair 62◦02.8 8◦55.6

Peacock 53◦10.2 -56◦40.1Deneb 49◦27.8 45◦21.7

Enif 33◦41.4 9◦58.5Alnair 27◦36.3 -46◦51.5

Fomalhaut 15◦17.4 -29◦30.6Scheat 13◦47.7 28◦12.2Markab 13◦32.4 15◦19.4

2021/12/ SHA Mer.passVenus 63◦17.2 14:34Mars 125◦20.6 10:26

Jupiter 30◦53.1 16:42Saturn 47◦41.8 15:35

2021/12/ SHA Mer.passVenus 62◦55.6 14:31Mars 124◦37.6 10:25

Jupiter 30◦44.3 16:39Saturn 47◦36.4 15:31

2021/12/ SHA Mer.passVenus 62◦36.1 14:28Mars 123◦54.5 10:24

Jupiter 30◦35.3 16:36Saturn 47◦31.0 15:28

Horizontal paralaxVenus: 0.4Mars: 0.1

230

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2021 December 09 to Dec. 11

h Sun MoonThu GHA Dec GHA ν Dec d HP0 181◦57.1 -22◦48.8 112◦20.5 8.7 -19◦15.5 10.9 58.61 196◦56.9 -22◦49.1 126◦48.3 8.8 -19◦04.6 11.0 58.62 211◦56.6 -22◦49.3 141◦16.1 8.9 -18◦53.6 11.1 58.53 226◦56.3 -22◦49.6 155◦44.1 9.0 -18◦42.5 11.1 58.54 241◦56.0 -22◦49.8 170◦12.2 9.2 -18◦31.3 11.2 58.55 256◦55.8 -22◦50.1 184◦40.5 9.3 -18◦20.0 11.3 58.46 271◦55.5 -22◦50.3 199◦08.8 9.4 -18◦08.7 11.4 58.47 286◦55.2 -22◦50.5 213◦37.3 9.5 -17◦57.2 11.5 58.38 301◦54.9 -22◦50.8 228◦05.9 9.7 -17◦45.7 11.6 58.39 316◦54.6 -22◦51.0 242◦34.6 9.8 -17◦34.1 11.6 58.310 331◦54.4 -22◦51.3 257◦03.4 9.9 -17◦22.4 11.7 58.211 346◦54.1 -22◦51.5 271◦32.4 10.0 -17◦10.6 11.8 58.212 1◦53.8 -22◦51.7 286◦01.5 10.1 -16◦58.8 11.9 58.113 16◦53.5 -22◦52.0 300◦30.7 10.3 -16◦46.9 12.0 58.114 31◦53.2 -22◦52.2 314◦60.0 10.4 -16◦34.9 12.0 58.115 46◦52.9 -22◦52.4 329◦29.4 10.5 -16◦22.8 12.1 58.016 61◦52.7 -22◦52.7 343◦59.0 10.6 -16◦10.7 12.2 58.017 76◦52.4 -22◦52.9 358◦28.6 10.7 -15◦58.5 12.2 57.918 91◦52.1 -22◦53.1 12◦58.4 10.8 -15◦46.3 12.3 57.919 106◦51.8 -22◦53.4 27◦28.3 10.9 -15◦33.9 12.4 57.920 121◦51.5 -22◦53.6 41◦58.2 11.0 -15◦21.6 12.4 57.821 136◦51.3 -22◦53.8 56◦28.3 11.2 -15◦09.1 12.5 57.822 151◦51.0 -22◦54.0 70◦58.5 11.3 -14◦56.6 12.5 57.723 166◦50.7 -22◦54.3 85◦28.9 11.4 -14◦44.0 12.6 57.7

SD.=16.2 d=-0.2 S.D.=16.0

Fri GHA Dec GHA ν Dec d HP0 181◦50.4 -22◦54.5 99◦59.3 11.5 -14◦31.4 12.6 57.71 196◦50.1 -22◦54.7 114◦29.8 11.6 -14◦18.7 12.7 57.62 211◦49.8 -22◦54.9 129◦00.4 11.7 -14◦06.0 12.8 57.63 226◦49.6 -22◦55.2 143◦31.2 11.8 -13◦53.2 12.8 57.64 241◦49.3 -22◦55.4 158◦02.0 11.9 -13◦40.4 12.9 57.55 256◦49.0 -22◦55.6 172◦32.9 12.0 -13◦27.5 12.9 57.56 271◦48.7 -22◦55.8 187◦04.0 12.1 -13◦14.6 13.0 57.47 286◦48.4 -22◦56.0 201◦35.1 12.2 -13◦01.6 13.0 57.48 301◦48.1 -22◦56.3 216◦06.3 12.3 -12◦48.6 13.0 57.49 316◦47.9 -22◦56.5 230◦37.6 12.4 -12◦35.6 13.1 57.310 331◦47.6 -22◦56.7 245◦09.1 12.5 -12◦22.5 13.1 57.311 346◦47.3 -22◦56.9 259◦40.6 12.6 -12◦09.3 13.2 57.312 1◦47.0 -22◦57.1 274◦12.2 12.6 -11◦56.1 13.2 57.213 16◦46.7 -22◦57.4 288◦43.9 12.7 -11◦42.9 13.2 57.214 31◦46.4 -22◦57.6 303◦15.6 12.8 -11◦29.6 13.3 57.115 46◦46.1 -22◦57.8 317◦47.5 12.9 -11◦16.3 13.3 57.116 61◦45.9 -22◦58.0 332◦19.5 13.0 -11◦03.0 13.3 57.117 76◦45.6 -22◦58.2 346◦51.5 13.1 -10◦49.6 13.4 57.018 91◦45.3 -22◦58.4 1◦23.6 13.2 -10◦36.2 13.4 57.019 106◦45.0 -22◦58.6 15◦55.8 13.2 -10◦22.8 13.4 57.020 121◦44.7 -22◦58.8 30◦28.1 13.3 -10◦09.4 13.5 56.921 136◦44.4 -22◦59.1 45◦00.5 13.4 -9◦55.9 13.5 56.922 151◦44.1 -22◦59.3 59◦32.9 13.5 -9◦42.3 13.5 56.923 166◦43.9 -22◦59.5 74◦05.5 13.6 -9◦28.8 13.6 56.8

SD.=16.2 d=-0.2 S.D.=15.7

Sat GHA Dec GHA ν Dec d HP0 181◦43.6 -22◦59.7 88◦38.1 13.6 -9◦15.2 13.6 56.81 196◦43.3 -22◦59.9 103◦10.8 13.7 -9◦01.6 13.6 56.72 211◦43.0 -23◦00.1 117◦43.5 13.8 -8◦48.0 13.6 56.73 226◦42.7 -23◦00.3 132◦16.3 13.9 -8◦34.4 13.6 56.74 241◦42.4 -23◦00.5 146◦49.2 13.9 -8◦20.7 13.7 56.65 256◦42.1 -23◦00.7 161◦22.2 14.0 -8◦07.1 13.7 56.66 271◦41.8 -23◦00.9 175◦55.2 14.1 -7◦53.4 13.7 56.67 286◦41.6 -23◦01.1 190◦28.3 14.1 -7◦39.6 13.7 56.58 301◦41.3 -23◦01.3 205◦01.5 14.2 -7◦25.9 13.7 56.59 316◦41.0 -23◦01.5 219◦34.7 14.3 -7◦12.2 13.8 56.510 331◦40.7 -23◦01.7 234◦08.0 14.3 -6◦58.4 13.8 56.411 346◦40.4 -23◦01.9 248◦41.4 14.4 -6◦44.6 13.8 56.412 1◦40.1 -23◦02.1 263◦14.8 14.5 -6◦30.8 13.8 56.413 16◦39.8 -23◦02.3 277◦48.3 14.5 -6◦17.0 13.8 56.314 31◦39.5 -23◦02.5 292◦21.8 14.6 -6◦03.2 13.8 56.315 46◦39.2 -23◦02.7 306◦55.4 14.6 -5◦49.4 13.8 56.316 61◦39.0 -23◦02.9 321◦29.1 14.7 -5◦35.6 13.8 56.217 76◦38.7 -23◦03.1 336◦02.8 14.7 -5◦21.7 13.8 56.218 91◦38.4 -23◦03.3 350◦36.6 14.8 -5◦07.9 13.8 56.219 106◦38.1 -23◦03.5 5◦10.4 14.8 -4◦54.0 13.9 56.220 121◦37.8 -23◦03.7 19◦44.2 14.9 -4◦40.2 13.9 56.121 136◦37.5 -23◦03.8 34◦18.2 14.9 -4◦26.3 13.9 56.122 151◦37.2 -23◦04.0 48◦52.1 15.0 -4◦12.5 13.9 56.123 166◦36.9 -23◦04.2 63◦26.1 15.0 -3◦58.6 13.9 56.0

SD.=16.2 d=-0.2 S.D.=15.5

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 08:12 10:30 –:– –:– 13:15 15:3370 07:54 09:38 –:– –:– 14:08 15:5268 07:38 09:05 –:– –:– 14:40 16:0766 07:26 08:42 10:16 13:29 15:04 16:1964 07:15 08:23 09:38 14:07 15:23 16:3062 07:06 08:07 09:12 14:34 15:38 16:3960 06:58 07:54 08:51 14:54 15:51 16:4758 06:51 07:43 08:34 15:11 16:02 16:5556 06:44 07:33 08:20 15:25 16:12 17:0154 06:39 07:24 08:08 15:38 16:21 17:0752 06:33 07:17 07:57 15:48 16:29 17:1250 06:28 07:09 07:47 15:58 16:36 17:1845 06:17 06:54 07:27 16:18 16:52 17:2940 06:07 06:41 07:11 16:35 17:05 17:3935 05:57 06:29 06:57 16:49 17:17 17:4830 05:49 06:19 06:45 17:01 17:27 17:5720 05:33 06:00 06:24 17:21 17:45 18:1310 05:17 05:43 06:06 17:40 18:02 18:290 05:01 05:27 05:49 17:57 18:19 18:45-10 04:42 05:09 05:32 18:14 18:37 19:04-20 04:20 04:49 05:13 18:32 18:57 19:26-30 03:51 04:25 04:52 18:54 19:21 19:54-35 03:33 04:10 04:39 19:07 19:36 20:13-40 03:11 03:52 04:24 19:21 19:54 20:35-45 02:41 03:30 04:07 19:39 20:16 21:05-50 01:58 03:01 03:45 20:01 20:45 21:49-52 01:32 02:47 03:35 20:12 20:60 22:15-54 00:53 02:30 03:23 20:24 21:17 22:55-56 –:– 02:08 03:09 20:37 21:38 –:–-58 –:– 01:41 02:53 20:54 22:06 –:–-60 –:– 00:59 02:33 21:13 22:50 –:–

Moonrise MoonsetLat. Thu Fri Sat Thu Fri Sat72 15:24 14:23 13:49 19:12 21:52 –:–70 14:41 14:05 13:40 19:53 22:09 –:–68 14:12 13:50 13:33 20:21 22:22 –:–66 13:50 13:37 13:27 20:41 22:32 –:–64 13:32 13:27 13:22 20:58 22:41 –:–62 13:18 13:18 13:18 21:11 22:49 –:–60 13:05 13:10 13:14 21:22 22:55 –:–58 12:55 13:04 13:10 21:32 23:01 –:–56 12:45 12:58 13:07 21:41 23:06 –:–54 12:37 12:52 13:04 21:48 23:10 –:–52 12:29 12:47 13:02 21:55 23:14 –:–50 12:23 12:43 12:60 22:01 23:18 –:–45 12:08 12:33 12:55 22:14 23:26 –:–40 11:56 12:25 12:50 22:25 23:32 –:–35 11:46 12:18 12:47 22:34 23:38 –:–30 11:37 12:12 12:44 22:42 23:43 –:–20 11:21 12:01 12:38 22:55 23:51 –:–10 11:07 11:52 12:33 23:07 23:58 –:–0 10:54 11:43 12:28 23:18 –:– 00:05-10 10:41 11:34 12:24 23:29 –:– 00:12-20 10:27 11:25 12:19 23:41 –:– 00:19-30 10:11 11:14 12:13 23:54 –:– 00:27-35 10:02 11:08 12:10 –:– 00:01 00:32-40 09:51 11:00 12:06 –:– 00:10 00:37-45 09:39 10:52 12:02 –:– 00:20 00:43-50 09:23 10:42 11:56 00:08 00:32 00:50-52 09:16 10:37 11:54 00:16 00:37 00:53-54 09:08 10:32 11:51 00:25 00:43 00:57-56 08:59 10:26 11:48 00:35 00:50 01:01-58 08:48 10:19 11:45 00:46 00:57 01:05-60 08:37 10:12 11:41 00:58 01:06 01:10

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower9 07:49 07:35 11:52 17:06 04:40 5(34%)10 07:22 07:08 11:52 17:54 05:30 6(44%)11 06:54 06:41 11:53 18:38 06:16 7(55%)

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December 12, 13 ,14 (Sun., Mon., Tue.)Aries Venus Mars Jupiter Saturn

Sun GHA GHA Dec GHA Dec GHA Dec GHA Dec0 80◦54.8 143◦13.6 -22◦36.7 204◦06.0 -19◦51.6 111◦21.0 -13◦28.8 128◦20.3 -18◦33.21 95◦57.3 158◦15.4 -22◦36.2 219◦06.7 -19◦52.0 126◦23.1 -13◦28.6 143◦22.5 -18◦33.12 110◦59.7 173◦17.2 -22◦35.6 234◦07.3 -19◦52.4 141◦25.2 -13◦28.5 158◦24.7 -18◦33.13 126◦02.2 188◦19.0 -22◦35.1 249◦08.0 -19◦52.8 156◦27.3 -13◦28.4 173◦27.0 -18◦33.04 141◦04.7 203◦20.8 -22◦34.6 264◦08.7 -19◦53.2 171◦29.4 -13◦28.2 188◦29.2 -18◦33.05 156◦07.1 218◦22.6 -22◦34.1 279◦09.3 -19◦53.6 186◦31.4 -13◦28.1 203◦31.4 -18◦32.96 171◦09.6 233◦24.5 -22◦33.5 294◦10.0 -19◦54.0 201◦33.5 -13◦27.9 218◦33.7 -18◦32.87 186◦12.0 248◦26.3 -22◦33.0 309◦10.6 -19◦54.4 216◦35.6 -13◦27.8 233◦35.9 -18◦32.88 201◦14.5 263◦28.1 -22◦32.5 324◦11.3 -19◦54.8 231◦37.7 -13◦27.7 248◦38.1 -18◦32.79 216◦17.0 278◦29.9 -22◦32.0 339◦11.9 -19◦55.2 246◦39.8 -13◦27.5 263◦40.4 -18◦32.710 231◦19.4 293◦31.8 -22◦31.4 354◦12.6 -19◦55.6 261◦41.9 -13◦27.4 278◦42.6 -18◦32.611 246◦21.9 308◦33.6 -22◦30.9 9◦13.3 -19◦56.0 276◦43.9 -13◦27.2 293◦44.8 -18◦32.512 261◦24.4 323◦35.4 -22◦30.4 24◦13.9 -19◦56.4 291◦46.0 -13◦27.1 308◦47.1 -18◦32.513 276◦26.8 338◦37.3 -22◦29.9 39◦14.6 -19◦56.8 306◦48.1 -13◦27.0 323◦49.3 -18◦32.414 291◦29.3 353◦39.1 -22◦29.3 54◦15.2 -19◦57.2 321◦50.2 -13◦26.8 338◦51.5 -18◦32.315 306◦31.8 8◦41.0 -22◦28.8 69◦15.9 -19◦57.6 336◦52.3 -13◦26.7 353◦53.8 -18◦32.316 321◦34.2 23◦42.8 -22◦28.3 84◦16.5 -19◦58.0 351◦54.3 -13◦26.5 8◦56.0 -18◦32.217 336◦36.7 38◦44.7 -22◦27.7 99◦17.2 -19◦58.4 6◦56.4 -13◦26.4 23◦58.2 -18◦32.218 351◦39.1 53◦46.6 -22◦27.2 114◦17.9 -19◦58.8 21◦58.5 -13◦26.2 39◦00.5 -18◦32.119 6◦41.6 68◦48.4 -22◦26.7 129◦18.5 -19◦59.2 37◦00.6 -13◦26.1 54◦02.7 -18◦32.020 21◦44.1 83◦50.3 -22◦26.2 144◦19.2 -19◦59.6 52◦02.7 -13◦26.0 69◦04.9 -18◦32.021 36◦46.5 98◦52.2 -22◦25.6 159◦19.8 -20◦00.0 67◦04.7 -13◦25.8 84◦07.1 -18◦31.922 51◦49.0 113◦54.1 -22◦25.1 174◦20.5 -20◦00.4 82◦06.8 -13◦25.7 99◦09.4 -18◦31.923 66◦51.5 128◦55.9 -22◦24.6 189◦21.1 -20◦00.8 97◦08.9 -13◦25.5 114◦11.6 -18◦31.8Mer.pass.:18:33 v1.8 d0.5 m-4.4 v0.7 d-0.4 m1.6 v2.1 d0.1 m-2.1 v2.2 d0.1 m0.7

Mon GHA GHA Dec GHA Dec GHA Dec GHA Dec0 81◦53.9 143◦57.8 -22◦24.1 204◦21.8 -20◦01.2 112◦11.0 -13◦25.4 129◦13.8 -18◦31.71 96◦56.4 158◦59.7 -22◦23.5 219◦22.4 -20◦01.6 127◦13.0 -13◦25.3 144◦16.1 -18◦31.72 111◦58.9 174◦01.6 -22◦23.0 234◦23.1 -20◦02.0 142◦15.1 -13◦25.1 159◦18.3 -18◦31.63 127◦01.3 189◦03.5 -22◦22.5 249◦23.8 -20◦02.4 157◦17.2 -13◦25.0 174◦20.5 -18◦31.54 142◦03.8 204◦05.4 -22◦22.0 264◦24.4 -20◦02.8 172◦19.3 -13◦24.8 189◦22.8 -18◦31.55 157◦06.3 219◦07.3 -22◦21.4 279◦25.1 -20◦03.2 187◦21.4 -13◦24.7 204◦25.0 -18◦31.46 172◦08.7 234◦09.3 -22◦20.9 294◦25.7 -20◦03.6 202◦23.4 -13◦24.5 219◦27.2 -18◦31.47 187◦11.2 249◦11.2 -22◦20.4 309◦26.4 -20◦04.0 217◦25.5 -13◦24.4 234◦29.5 -18◦31.38 202◦13.6 264◦13.1 -22◦19.8 324◦27.0 -20◦04.4 232◦27.6 -13◦24.3 249◦31.7 -18◦31.29 217◦16.1 279◦15.0 -22◦19.3 339◦27.7 -20◦04.8 247◦29.7 -13◦24.1 264◦33.9 -18◦31.210 232◦18.6 294◦17.0 -22◦18.8 354◦28.3 -20◦05.2 262◦31.7 -13◦24.0 279◦36.1 -18◦31.111 247◦21.0 309◦18.9 -22◦18.3 9◦29.0 -20◦05.6 277◦33.8 -13◦23.8 294◦38.4 -18◦31.112 262◦23.5 324◦20.8 -22◦17.7 24◦29.6 -20◦06.0 292◦35.9 -13◦23.7 309◦40.6 -18◦31.013 277◦26.0 339◦22.8 -22◦17.2 39◦30.3 -20◦06.4 307◦38.0 -13◦23.5 324◦42.8 -18◦30.914 292◦28.4 354◦24.7 -22◦16.7 54◦30.9 -20◦06.7 322◦40.0 -13◦23.4 339◦45.1 -18◦30.915 307◦30.9 9◦26.7 -22◦16.2 69◦31.6 -20◦07.1 337◦42.1 -13◦23.3 354◦47.3 -18◦30.816 322◦33.4 24◦28.6 -22◦15.6 84◦32.2 -20◦07.5 352◦44.2 -13◦23.1 9◦49.5 -18◦30.717 337◦35.8 39◦30.6 -22◦15.1 99◦32.9 -20◦07.9 7◦46.3 -13◦23.0 24◦51.7 -18◦30.718 352◦38.3 54◦32.6 -22◦14.6 114◦33.5 -20◦08.3 22◦48.3 -13◦22.8 39◦54.0 -18◦30.619 7◦40.7 69◦34.5 -22◦14.0 129◦34.2 -20◦08.7 37◦50.4 -13◦22.7 54◦56.2 -18◦30.620 22◦43.2 84◦36.5 -22◦13.5 144◦34.8 -20◦09.1 52◦52.5 -13◦22.5 69◦58.4 -18◦30.521 37◦45.7 99◦38.5 -22◦13.0 159◦35.5 -20◦09.5 67◦54.6 -13◦22.4 85◦00.7 -18◦30.422 52◦48.1 114◦40.5 -22◦12.5 174◦36.1 -20◦09.9 82◦56.6 -13◦22.3 100◦02.9 -18◦30.423 67◦50.6 129◦42.4 -22◦11.9 189◦36.8 -20◦10.3 97◦58.7 -13◦22.1 115◦05.1 -18◦30.3Mer.pass.:18:29 v1.9 d0.5 m-4.4 v0.7 d-0.4 m1.6 v2.1 d0.1 m-2.1 v2.2 d0.1 m0.7

Tue GHA GHA Dec GHA Dec GHA Dec GHA Dec0 82◦53.1 144◦44.4 -22◦11.4 204◦37.4 -20◦10.7 113◦00.8 -13◦22.0 130◦07.3 -18◦30.21 97◦55.5 159◦46.4 -22◦10.9 219◦38.1 -20◦11.1 128◦02.9 -13◦21.8 145◦09.6 -18◦30.22 112◦58.0 174◦48.4 -22◦10.4 234◦38.7 -20◦11.4 143◦04.9 -13◦21.7 160◦11.8 -18◦30.13 128◦00.5 189◦50.4 -22◦09.8 249◦39.4 -20◦11.8 158◦07.0 -13◦21.5 175◦14.0 -18◦30.14 143◦02.9 204◦52.4 -22◦09.3 264◦40.0 -20◦12.2 173◦09.1 -13◦21.4 190◦16.3 -18◦30.05 158◦05.4 219◦54.4 -22◦08.8 279◦40.7 -20◦12.6 188◦11.2 -13◦21.2 205◦18.5 -18◦29.96 173◦07.9 234◦56.5 -22◦08.2 294◦41.3 -20◦13.0 203◦13.2 -13◦21.1 220◦20.7 -18◦29.97 188◦10.3 249◦58.5 -22◦07.7 309◦42.0 -20◦13.4 218◦15.3 -13◦21.0 235◦22.9 -18◦29.88 203◦12.8 265◦00.5 -22◦07.2 324◦42.6 -20◦13.8 233◦17.4 -13◦20.8 250◦25.2 -18◦29.79 218◦15.2 280◦02.5 -22◦06.7 339◦43.3 -20◦14.2 248◦19.4 -13◦20.7 265◦27.4 -18◦29.710 233◦17.7 295◦04.6 -22◦06.1 354◦43.9 -20◦14.6 263◦21.5 -13◦20.5 280◦29.6 -18◦29.611 248◦20.2 310◦06.6 -22◦05.6 9◦44.6 -20◦14.9 278◦23.6 -13◦20.4 295◦31.9 -18◦29.612 263◦22.6 325◦08.6 -22◦05.1 24◦45.2 -20◦15.3 293◦25.7 -13◦20.2 310◦34.1 -18◦29.513 278◦25.1 340◦10.7 -22◦04.5 39◦45.9 -20◦15.7 308◦27.7 -13◦20.1 325◦36.3 -18◦29.414 293◦27.6 355◦12.7 -22◦04.0 54◦46.5 -20◦16.1 323◦29.8 -13◦19.9 340◦38.5 -18◦29.415 308◦30.0 10◦14.8 -22◦03.5 69◦47.2 -20◦16.5 338◦31.9 -13◦19.8 355◦40.8 -18◦29.316 323◦32.5 25◦16.8 -22◦03.0 84◦47.8 -20◦16.9 353◦33.9 -13◦19.7 10◦43.0 -18◦29.217 338◦35.0 40◦18.9 -22◦02.4 99◦48.4 -20◦17.3 8◦36.0 -13◦19.5 25◦45.2 -18◦29.218 353◦37.4 55◦21.0 -22◦01.9 114◦49.1 -20◦17.6 23◦38.1 -13◦19.4 40◦47.4 -18◦29.119 8◦39.9 70◦23.0 -22◦01.4 129◦49.7 -20◦18.0 38◦40.1 -13◦19.2 55◦49.7 -18◦29.120 23◦42.4 85◦25.1 -22◦00.8 144◦50.4 -20◦18.4 53◦42.2 -13◦19.1 70◦51.9 -18◦29.021 38◦44.8 100◦27.2 -22◦00.3 159◦51.0 -20◦18.8 68◦44.3 -13◦18.9 85◦54.1 -18◦28.922 53◦47.3 115◦29.3 -21◦59.8 174◦51.7 -20◦19.2 83◦46.4 -13◦18.8 100◦56.3 -18◦28.923 68◦49.7 130◦31.4 -21◦59.3 189◦52.3 -20◦19.6 98◦48.4 -13◦18.6 115◦58.6 -18◦28.8Mer.pass.:18:25 v2.0 d0.5 m-4.4 v0.6 d-0.4 m1.6 v2.1 d0.1 m-2.1 v2.2 d0.1 m0.7

StarsSHA Dec

Alpheratz 357◦37.3 29◦12.8Ankaa 353◦09.6 -42◦11.5

Schedar 349◦33.7 56◦39.6Diphda 348◦49.6 -17◦52.2

Achernar 335◦21.8 -57◦07.8Hamal 327◦53.8 23◦34.0Polaris 314◦48.6 89◦21.5Akamar 315◦13.4 -40◦13.2Menkar 314◦08.5 4◦10.5Mirfak 308◦31.4 49◦56.4

Aldebaran 290◦42.2 16◦33.2Rigel 281◦06.0 -8◦10.6

Capella 280◦25.2 46◦01.2Bellatrix 278◦25.2 6◦22.1Elnath 278◦04.7 28◦37.5Alnilam 275◦40.0 -1◦11.3

Betelgeuse 270◦54.5 7◦24.6Canopus 263◦53.0 -52◦42.4

Sirius 258◦28.0 -16◦44.5Adara 255◦07.5 -29◦00.0

Procyon 244◦53.1 5◦10.3Pollux 243◦20.0 27◦58.3Avior 234◦15.2 -59◦34.5Suhail 222◦47.9 -43◦31.0

Miaplacidus 221◦38.2 -69◦48.1Alphard 217◦50.1 -8◦45.1Regulus 207◦37.0 11◦51.6Dubhe 193◦44.1 61◦37.8

Denebola 182◦27.5 14◦27.0Gienah 175◦46.2 -17◦39.6Acrux 173◦03.0 -63◦12.8

Gacrux 171◦54.6 -57◦13.8Alioth 166◦15.5 55◦50.3Spica 158◦25.1 -11◦16.4Alcaid 152◦54.3 49◦12.1Hadar 148◦40.0 -60◦28.4

Menkent 148◦00.9 -36◦28.4Arcturus 145◦50.3 19◦04.4

Rigil Kent. 139◦44.3 -60◦55.2Zubenelg. 136◦59.1 -16◦07.8Kochab 137◦20.8 74◦03.8

Alphecca 126◦06.3 26◦38.5Antares 112◦19.3 -26◦28.7

Atria 107◦16.4 -69◦03.9Sabik 102◦06.0 -15◦45.0

Shaula 96◦14.2 -37◦07.1Rasalhague 96◦01.3 12◦32.7

Etamin 90◦43.9 51◦29.2Kaus Aust. 83◦36.3 -34◦22.4

Vega 80◦35.4 38◦48.3Nunki 75◦51.3 -26◦16.2Altair 62◦02.8 8◦55.6

Peacock 53◦10.2 -56◦40.1Deneb 49◦27.8 45◦21.6

Enif 33◦41.4 9◦58.5Alnair 27◦36.3 -46◦51.5

Fomalhaut 15◦17.4 -29◦30.6Scheat 13◦47.7 28◦12.2Markab 13◦32.5 15◦19.4

2021/12/ SHA Mer.passVenus 62◦18.8 14:25Mars 123◦11.2 10:23

Jupiter 30◦26.2 16:32Saturn 47◦25.5 15:24

2021/12/ SHA Mer.passVenus 62◦03.9 14:22Mars 122◦27.9 10:22

Jupiter 30◦17.0 16:29Saturn 47◦19.9 15:21

2021/12/ SHA Mer.passVenus 61◦51.4 14:19Mars 121◦44.4 10:21

Jupiter 30◦07.7 16:26Saturn 47◦14.3 15:17

Horizontal paralaxVenus: 0.4Mars: 0.1

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2021 December 12 to Dec. 14

h Sun MoonSun GHA Dec GHA ν Dec d HP0 181◦36.6 -23◦04.4 78◦00.2 15.1 -3◦44.7 13.9 56.01 196◦36.3 -23◦04.6 92◦34.3 15.1 -3◦30.9 13.9 56.02 211◦36.1 -23◦04.8 107◦08.4 15.2 -3◦17.0 13.9 55.93 226◦35.8 -23◦05.0 121◦42.6 15.2 -3◦03.1 13.9 55.94 241◦35.5 -23◦05.2 136◦16.8 15.2 -2◦49.3 13.9 55.95 256◦35.2 -23◦05.3 150◦51.1 15.3 -2◦35.4 13.9 55.96 271◦34.9 -23◦05.5 165◦25.4 15.3 -2◦21.5 13.9 55.87 286◦34.6 -23◦05.7 179◦59.8 15.4 -2◦07.7 13.9 55.88 301◦34.3 -23◦05.9 194◦34.1 15.4 -1◦53.8 13.8 55.89 316◦34.0 -23◦06.1 209◦08.6 15.4 -1◦40.0 13.8 55.710 331◦33.7 -23◦06.2 223◦43.0 15.5 -1◦26.1 13.8 55.711 346◦33.4 -23◦06.4 238◦17.5 15.5 -1◦12.3 13.8 55.712 1◦33.1 -23◦06.6 252◦52.0 15.5 -0◦58.5 13.8 55.713 16◦32.9 -23◦06.8 267◦26.5 15.6 -0◦44.7 13.8 55.614 31◦32.6 -23◦07.0 282◦01.1 15.6 -0◦30.9 13.8 55.615 46◦32.3 -23◦07.1 296◦35.7 15.6 -0◦17.1 13.8 55.616 61◦32.0 -23◦07.3 311◦10.3 15.6 -0◦03.3 13.8 55.517 76◦31.7 -23◦07.5 325◦45.0 15.7 0◦10.5 13.8 55.518 91◦31.4 -23◦07.7 340◦19.6 15.7 0◦24.2 13.7 55.519 106◦31.1 -23◦07.8 354◦54.3 15.7 0◦38.0 13.7 55.520 121◦30.8 -23◦08.0 9◦29.0 15.7 0◦51.7 13.7 55.421 136◦30.5 -23◦08.2 24◦03.8 15.7 1◦05.4 13.7 55.422 151◦30.2 -23◦08.3 38◦38.5 15.8 1◦19.1 13.7 55.423 166◦29.9 -23◦08.5 53◦13.3 15.8 1◦32.8 13.7 55.4

SD.=16.2 d=-0.2 S.D.=15.3

Mon GHA Dec GHA ν Dec d HP0 181◦29.6 -23◦08.7 67◦48.1 15.8 1◦46.4 13.7 55.31 196◦29.3 -23◦08.8 82◦22.9 15.8 2◦00.1 13.6 55.32 211◦29.0 -23◦09.0 96◦57.7 15.8 2◦13.7 13.6 55.33 226◦28.7 -23◦09.2 111◦32.6 15.8 2◦27.3 13.6 55.34 241◦28.4 -23◦09.3 126◦07.4 15.9 2◦40.9 13.6 55.25 256◦28.2 -23◦09.5 140◦42.3 15.9 2◦54.5 13.6 55.26 271◦27.9 -23◦09.7 155◦17.1 15.9 3◦08.0 13.5 55.27 286◦27.6 -23◦09.8 169◦52.0 15.9 3◦21.5 13.5 55.28 301◦27.3 -23◦10.0 184◦26.9 15.9 3◦35.0 13.5 55.29 316◦27.0 -23◦10.2 199◦01.8 15.9 3◦48.5 13.5 55.110 331◦26.7 -23◦10.3 213◦36.7 15.9 4◦01.9 13.4 55.111 346◦26.4 -23◦10.5 228◦11.6 15.9 4◦15.4 13.4 55.112 1◦26.1 -23◦10.6 242◦46.5 15.9 4◦28.8 13.4 55.113 16◦25.8 -23◦10.8 257◦21.4 15.9 4◦42.1 13.4 55.014 31◦25.5 -23◦11.0 271◦56.3 15.9 4◦55.5 13.3 55.015 46◦25.2 -23◦11.1 286◦31.2 15.9 5◦08.8 13.3 55.016 61◦24.9 -23◦11.3 301◦06.2 15.9 5◦22.1 13.3 55.017 76◦24.6 -23◦11.4 315◦41.1 15.9 5◦35.3 13.2 55.018 91◦24.3 -23◦11.6 330◦16.0 15.9 5◦48.6 13.2 54.919 106◦24.0 -23◦11.7 344◦50.9 15.9 6◦01.8 13.2 54.920 121◦23.7 -23◦11.9 359◦25.8 15.9 6◦14.9 13.1 54.921 136◦23.4 -23◦12.0 14◦00.7 15.9 6◦28.0 13.1 54.922 151◦23.1 -23◦12.2 28◦35.6 15.9 6◦41.1 13.1 54.923 166◦22.8 -23◦12.3 43◦10.5 15.9 6◦54.2 13.0 54.8

SD.=16.2 d=-0.2 S.D.=15.1

Tue GHA Dec GHA ν Dec d HP0 181◦22.5 -23◦12.5 57◦45.3 15.9 7◦07.2 13.0 54.81 196◦22.2 -23◦12.6 72◦20.2 15.9 7◦20.2 13.0 54.82 211◦21.9 -23◦12.8 86◦55.0 15.8 7◦33.2 12.9 54.83 226◦21.6 -23◦12.9 101◦29.9 15.8 7◦46.1 12.9 54.84 241◦21.3 -23◦13.1 116◦04.7 15.8 7◦59.0 12.9 54.75 256◦21.1 -23◦13.2 130◦39.5 15.8 8◦11.8 12.8 54.76 271◦20.8 -23◦13.4 145◦14.3 15.8 8◦24.6 12.8 54.77 286◦20.5 -23◦13.5 159◦49.1 15.8 8◦37.4 12.7 54.78 301◦20.2 -23◦13.7 174◦23.9 15.8 8◦50.1 12.7 54.79 316◦19.9 -23◦13.8 188◦58.6 15.7 9◦02.8 12.7 54.710 331◦19.6 -23◦13.9 203◦33.4 15.7 9◦15.5 12.6 54.611 346◦19.3 -23◦14.1 218◦08.1 15.7 9◦28.1 12.6 54.612 1◦19.0 -23◦14.2 232◦42.8 15.7 9◦40.6 12.5 54.613 16◦18.7 -23◦14.4 247◦17.5 15.7 9◦53.2 12.5 54.614 31◦18.4 -23◦14.5 261◦52.1 15.6 10◦05.6 12.5 54.615 46◦18.1 -23◦14.6 276◦26.8 15.6 10◦18.1 12.4 54.616 61◦17.8 -23◦14.8 291◦01.4 15.6 10◦30.4 12.4 54.517 76◦17.5 -23◦14.9 305◦35.9 15.6 10◦42.8 12.3 54.518 91◦17.2 -23◦15.0 320◦10.5 15.5 10◦55.1 12.3 54.519 106◦16.9 -23◦15.2 334◦45.0 15.5 11◦07.3 12.2 54.520 121◦16.6 -23◦15.3 349◦19.5 15.5 11◦19.5 12.2 54.521 136◦16.3 -23◦15.4 3◦54.0 15.5 11◦31.6 12.1 54.522 151◦16.0 -23◦15.6 18◦28.5 15.4 11◦43.7 12.1 54.523 166◦15.7 -23◦15.7 33◦02.9 15.4 11◦55.8 12.0 54.4

SD.=16.2 d=-0.1 S.D.=15.0

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 08:17 10:41 –:– –:– 13:07 15:3170 07:58 09:44 –:– –:– 14:04 15:5068 07:43 09:11 –:– –:– 14:38 16:0666 07:30 08:46 10:23 13:25 15:02 16:1864 07:19 08:27 09:43 14:05 15:21 16:2962 07:10 08:11 09:16 14:32 15:37 16:3960 07:01 07:58 08:55 14:53 15:50 16:4758 06:54 07:46 08:38 15:10 16:02 16:5456 06:47 07:36 08:23 15:25 16:12 17:0154 06:41 07:27 08:11 15:37 16:21 17:0752 06:36 07:19 08:00 15:48 16:29 17:1350 06:31 07:12 07:50 15:58 16:36 17:1845 06:19 06:56 07:30 16:19 16:52 17:2940 06:09 06:43 07:13 16:35 17:06 17:4035 05:60 06:31 06:59 16:49 17:17 17:4930 05:51 06:21 06:47 17:01 17:28 17:5820 05:35 06:02 06:26 17:22 17:46 18:1410 05:19 05:45 06:08 17:41 18:04 18:300 05:02 05:28 05:51 17:58 18:20 18:47-10 04:43 05:10 05:33 18:15 18:38 19:05-20 04:21 04:50 05:14 18:34 18:59 19:28-30 03:52 04:25 04:53 18:56 19:23 19:57-35 03:34 04:10 04:40 19:09 19:39 20:15-40 03:11 03:52 04:25 19:24 19:57 20:38-45 02:41 03:30 04:07 19:42 20:19 21:08-50 01:56 03:01 03:45 20:04 20:48 21:53-52 01:30 02:46 03:34 20:15 21:03 22:20-54 00:47 02:28 03:22 20:27 21:21 23:03-56 –:– 02:07 03:08 20:41 21:43 –:–-58 –:– 01:38 02:52 20:57 22:11 –:–-60 –:– 00:52 02:32 21:17 22:58 –:–

Moonrise MoonsetLat. Sun Mon Tue Sun Mon Tue72 13:20 12:53 12:23 00:00 01:58 03:5670 13:19 12:60 12:38 00:06 01:55 03:4468 13:19 13:05 12:50 00:10 01:53 03:3466 13:18 13:09 12:60 00:14 01:51 03:2664 13:17 13:13 13:08 00:17 01:49 03:1962 13:17 13:16 13:15 00:20 01:47 03:1360 13:16 13:19 13:21 00:22 01:46 03:0858 13:16 13:21 13:27 00:24 01:45 03:0456 13:15 13:23 13:32 00:26 01:44 02:6054 13:15 13:25 13:36 00:28 01:43 02:5652 13:15 13:27 13:40 00:29 01:42 02:5350 13:15 13:29 13:44 00:31 01:41 02:5045 13:14 13:33 13:52 00:34 01:40 02:4440 13:13 13:36 13:59 00:36 01:38 02:3935 13:13 13:39 14:04 00:38 01:37 02:3430 13:13 13:41 14:10 00:40 01:36 02:3120 13:12 13:45 14:18 00:44 01:34 02:2410 13:11 13:49 14:26 00:46 01:32 02:180 13:11 13:52 14:34 00:49 01:31 02:12-10 13:10 13:56 14:41 00:52 01:29 02:07-20 13:10 13:60 14:49 00:54 01:28 02:01-30 13:09 14:04 14:59 00:57 01:26 01:54-35 13:09 14:07 15:04 00:59 01:25 01:50-40 13:09 14:10 15:10 01:01 01:24 01:46-45 13:08 14:13 15:17 01:03 01:22 01:41-50 13:08 14:17 15:26 01:06 01:20 01:35-52 13:07 14:19 15:30 01:07 01:20 01:32-54 13:07 14:21 15:34 01:08 01:19 01:29-56 13:07 14:23 15:39 01:10 01:18 01:26-58 13:07 14:26 15:45 01:11 01:17 01:22-60 13:06 14:29 15:51 01:13 01:16 01:18

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower12 06:27 06:13 11:53 19:20 07:00 8(65%)13 05:59 05:44 11:54 20:02 07:41 9(74%)14 05:30 05:16 11:54 20:43 08:23 10(82%)

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December 15, 16 ,17 (Wed., Thu., Fri.)Aries Venus Mars Jupiter Saturn

Wed GHA GHA Dec GHA Dec GHA Dec GHA Dec0 83◦52.2 145◦33.5 -21◦58.7 204◦53.0 -20◦20.0 113◦50.5 -13◦18.5 131◦00.8 -18◦28.71 98◦54.7 160◦35.6 -21◦58.2 219◦53.6 -20◦20.3 128◦52.6 -13◦18.3 146◦03.0 -18◦28.72 113◦57.1 175◦37.7 -21◦57.7 234◦54.2 -20◦20.7 143◦54.6 -13◦18.2 161◦05.2 -18◦28.63 128◦59.6 190◦39.8 -21◦57.1 249◦54.9 -20◦21.1 158◦56.7 -13◦18.0 176◦07.5 -18◦28.64 144◦02.1 205◦41.9 -21◦56.6 264◦55.5 -20◦21.5 173◦58.8 -13◦17.9 191◦09.7 -18◦28.55 159◦04.5 220◦44.0 -21◦56.1 279◦56.2 -20◦21.9 189◦00.8 -13◦17.8 206◦11.9 -18◦28.46 174◦07.0 235◦46.1 -21◦55.6 294◦56.8 -20◦22.3 204◦02.9 -13◦17.6 221◦14.1 -18◦28.47 189◦09.5 250◦48.2 -21◦55.0 309◦57.5 -20◦22.6 219◦05.0 -13◦17.5 236◦16.4 -18◦28.38 204◦11.9 265◦50.4 -21◦54.5 324◦58.1 -20◦23.0 234◦07.0 -13◦17.3 251◦18.6 -18◦28.29 219◦14.4 280◦52.5 -21◦54.0 339◦58.7 -20◦23.4 249◦09.1 -13◦17.2 266◦20.8 -18◦28.210 234◦16.9 295◦54.6 -21◦53.4 354◦59.4 -20◦23.8 264◦11.2 -13◦17.0 281◦23.0 -18◦28.111 249◦19.3 310◦56.8 -21◦52.9 10◦00.0 -20◦24.2 279◦13.2 -13◦16.9 296◦25.3 -18◦28.112 264◦21.8 325◦58.9 -21◦52.4 25◦00.7 -20◦24.5 294◦15.3 -13◦16.7 311◦27.5 -18◦28.013 279◦24.2 341◦01.0 -21◦51.9 40◦01.3 -20◦24.9 309◦17.4 -13◦16.6 326◦29.7 -18◦27.914 294◦26.7 356◦03.2 -21◦51.3 55◦02.0 -20◦25.3 324◦19.4 -13◦16.4 341◦31.9 -18◦27.915 309◦29.2 11◦05.4 -21◦50.8 70◦02.6 -20◦25.7 339◦21.5 -13◦16.3 356◦34.2 -18◦27.816 324◦31.6 26◦07.5 -21◦50.3 85◦03.2 -20◦26.1 354◦23.6 -13◦16.1 11◦36.4 -18◦27.717 339◦34.1 41◦09.7 -21◦49.7 100◦03.9 -20◦26.4 9◦25.6 -13◦16.0 26◦38.6 -18◦27.718 354◦36.6 56◦11.9 -21◦49.2 115◦04.5 -20◦26.8 24◦27.7 -13◦15.8 41◦40.8 -18◦27.619 9◦39.0 71◦14.0 -21◦48.7 130◦05.2 -20◦27.2 39◦29.8 -13◦15.7 56◦43.1 -18◦27.520 24◦41.5 86◦16.2 -21◦48.2 145◦05.8 -20◦27.6 54◦31.8 -13◦15.6 71◦45.3 -18◦27.521 39◦44.0 101◦18.4 -21◦47.6 160◦06.4 -20◦27.9 69◦33.9 -13◦15.4 86◦47.5 -18◦27.422 54◦46.4 116◦20.6 -21◦47.1 175◦07.1 -20◦28.3 84◦35.9 -13◦15.3 101◦49.7 -18◦27.423 69◦48.9 131◦22.8 -21◦46.6 190◦07.7 -20◦28.7 99◦38.0 -13◦15.1 116◦52.0 -18◦27.3Mer.pass.:18:21 v2.1 d0.5 m-4.4 v0.6 d-0.4 m1.6 v2.1 d0.1 m-2.1 v2.2 d0.1 m0.7

Thu GHA GHA Dec GHA Dec GHA Dec GHA Dec0 84◦51.3 146◦25.0 -21◦46.0 205◦08.4 -20◦29.1 114◦40.1 -13◦15.0 131◦54.2 -18◦27.21 99◦53.8 161◦27.2 -21◦45.5 220◦09.0 -20◦29.4 129◦42.1 -13◦14.8 146◦56.4 -18◦27.22 114◦56.3 176◦29.4 -21◦45.0 235◦09.6 -20◦29.8 144◦44.2 -13◦14.7 161◦58.6 -18◦27.13 129◦58.7 191◦31.6 -21◦44.5 250◦10.3 -20◦30.2 159◦46.3 -13◦14.5 177◦00.9 -18◦27.04 145◦01.2 206◦33.8 -21◦43.9 265◦10.9 -20◦30.6 174◦48.3 -13◦14.4 192◦03.1 -18◦27.05 160◦03.7 221◦36.0 -21◦43.4 280◦11.5 -20◦31.0 189◦50.4 -13◦14.2 207◦05.3 -18◦26.96 175◦06.1 236◦38.2 -21◦42.9 295◦12.2 -20◦31.3 204◦52.5 -13◦14.1 222◦07.5 -18◦26.87 190◦08.6 251◦40.5 -21◦42.3 310◦12.8 -20◦31.7 219◦54.5 -13◦13.9 237◦09.7 -18◦26.88 205◦11.1 266◦42.7 -21◦41.8 325◦13.5 -20◦32.1 234◦56.6 -13◦13.8 252◦12.0 -18◦26.79 220◦13.5 281◦44.9 -21◦41.3 340◦14.1 -20◦32.4 249◦58.6 -13◦13.6 267◦14.2 -18◦26.610 235◦16.0 296◦47.2 -21◦40.8 355◦14.7 -20◦32.8 265◦00.7 -13◦13.5 282◦16.4 -18◦26.611 250◦18.5 311◦49.4 -21◦40.2 10◦15.4 -20◦33.2 280◦02.8 -13◦13.3 297◦18.6 -18◦26.512 265◦20.9 326◦51.7 -21◦39.7 25◦16.0 -20◦33.6 295◦04.8 -13◦13.2 312◦20.9 -18◦26.513 280◦23.4 341◦53.9 -21◦39.2 40◦16.6 -20◦33.9 310◦06.9 -13◦13.0 327◦23.1 -18◦26.414 295◦25.8 356◦56.2 -21◦38.6 55◦17.3 -20◦34.3 325◦08.9 -13◦12.9 342◦25.3 -18◦26.315 310◦28.3 11◦58.5 -21◦38.1 70◦17.9 -20◦34.7 340◦11.0 -13◦12.7 357◦27.5 -18◦26.316 325◦30.8 27◦00.7 -21◦37.6 85◦18.5 -20◦35.1 355◦13.1 -13◦12.6 12◦29.7 -18◦26.217 340◦33.2 42◦03.0 -21◦37.1 100◦19.2 -20◦35.4 10◦15.1 -13◦12.4 27◦32.0 -18◦26.118 355◦35.7 57◦05.3 -21◦36.5 115◦19.8 -20◦35.8 25◦17.2 -13◦12.3 42◦34.2 -18◦26.119 10◦38.2 72◦07.6 -21◦36.0 130◦20.5 -20◦36.2 40◦19.3 -13◦12.1 57◦36.4 -18◦26.020 25◦40.6 87◦09.8 -21◦35.5 145◦21.1 -20◦36.5 55◦21.3 -13◦12.0 72◦38.6 -18◦25.921 40◦43.1 102◦12.1 -21◦35.0 160◦21.7 -20◦36.9 70◦23.4 -13◦11.8 87◦40.9 -18◦25.922 55◦45.6 117◦14.4 -21◦34.4 175◦22.4 -20◦37.3 85◦25.4 -13◦11.7 102◦43.1 -18◦25.823 70◦48.0 132◦16.7 -21◦33.9 190◦23.0 -20◦37.6 100◦27.5 -13◦11.5 117◦45.3 -18◦25.8Mer.pass.:18:17 v2.2 d0.5 m-4.4 v0.6 d-0.4 m1.6 v2.1 d0.1 m-2.1 v2.2 d0.1 m0.7

Fri GHA GHA Dec GHA Dec GHA Dec GHA Dec0 85◦50.5 147◦19.0 -21◦33.4 205◦23.6 -20◦38.0 115◦29.5 -13◦11.4 132◦47.5 -18◦25.71 100◦53.0 162◦21.3 -21◦32.8 220◦24.3 -20◦38.4 130◦31.6 -13◦11.2 147◦49.7 -18◦25.62 115◦55.4 177◦23.6 -21◦32.3 235◦24.9 -20◦38.8 145◦33.7 -13◦11.1 162◦52.0 -18◦25.63 130◦57.9 192◦26.0 -21◦31.8 250◦25.5 -20◦39.1 160◦35.7 -13◦10.9 177◦54.2 -18◦25.54 146◦00.3 207◦28.3 -21◦31.3 265◦26.2 -20◦39.5 175◦37.8 -13◦10.8 192◦56.4 -18◦25.45 161◦02.8 222◦30.6 -21◦30.7 280◦26.8 -20◦39.9 190◦39.8 -13◦10.6 207◦58.6 -18◦25.46 176◦05.3 237◦32.9 -21◦30.2 295◦27.4 -20◦40.2 205◦41.9 -13◦10.5 223◦00.8 -18◦25.37 191◦07.7 252◦35.3 -21◦29.7 310◦28.1 -20◦40.6 220◦44.0 -13◦10.3 238◦03.1 -18◦25.28 206◦10.2 267◦37.6 -21◦29.2 325◦28.7 -20◦41.0 235◦46.0 -13◦10.2 253◦05.3 -18◦25.29 221◦12.7 282◦40.0 -21◦28.6 340◦29.3 -20◦41.3 250◦48.1 -13◦10.0 268◦07.5 -18◦25.110 236◦15.1 297◦42.3 -21◦28.1 355◦29.9 -20◦41.7 265◦50.1 -13◦09.9 283◦09.7 -18◦25.011 251◦17.6 312◦44.7 -21◦27.6 10◦30.6 -20◦42.1 280◦52.2 -13◦09.7 298◦11.9 -18◦25.012 266◦20.1 327◦47.0 -21◦27.0 25◦31.2 -20◦42.4 295◦54.2 -13◦09.6 313◦14.2 -18◦24.913 281◦22.5 342◦49.4 -21◦26.5 40◦31.8 -20◦42.8 310◦56.3 -13◦09.4 328◦16.4 -18◦24.814 296◦25.0 357◦51.7 -21◦26.0 55◦32.5 -20◦43.2 325◦58.4 -13◦09.3 343◦18.6 -18◦24.815 311◦27.5 12◦54.1 -21◦25.5 70◦33.1 -20◦43.5 341◦00.4 -13◦09.1 358◦20.8 -18◦24.716 326◦29.9 27◦56.5 -21◦24.9 85◦33.7 -20◦43.9 356◦02.5 -13◦09.0 13◦23.0 -18◦24.617 341◦32.4 42◦58.9 -21◦24.4 100◦34.4 -20◦44.3 11◦04.5 -13◦08.8 28◦25.3 -18◦24.618 356◦34.8 58◦01.3 -21◦23.9 115◦35.0 -20◦44.6 26◦06.6 -13◦08.7 43◦27.5 -18◦24.519 11◦37.3 73◦03.6 -21◦23.4 130◦35.6 -20◦45.0 41◦08.6 -13◦08.5 58◦29.7 -18◦24.520 26◦39.8 88◦06.0 -21◦22.8 145◦36.3 -20◦45.3 56◦10.7 -13◦08.4 73◦31.9 -18◦24.421 41◦42.2 103◦08.4 -21◦22.3 160◦36.9 -20◦45.7 71◦12.7 -13◦08.2 88◦34.1 -18◦24.322 56◦44.7 118◦10.8 -21◦21.8 175◦37.5 -20◦46.1 86◦14.8 -13◦08.1 103◦36.4 -18◦24.323 71◦47.2 133◦13.3 -21◦21.3 190◦38.1 -20◦46.4 101◦16.9 -13◦07.9 118◦38.6 -18◦24.2Mer.pass.:18:13 v2.3 d0.5 m-4.3 v0.6 d-0.4 m1.6 v2.1 d0.1 m-2.0 v2.2 d0.1 m0.7

StarsSHA Dec

Alpheratz 357◦37.3 29◦12.8Ankaa 353◦09.6 -42◦11.5

Schedar 349◦33.7 56◦39.6Diphda 348◦49.6 -17◦52.2

Achernar 335◦21.8 -57◦07.8Hamal 327◦53.8 23◦34.0Polaris 314◦49.2 89◦21.5Akamar 315◦13.4 -40◦13.2Menkar 314◦08.5 4◦10.5Mirfak 308◦31.4 49◦56.4

Aldebaran 290◦42.2 16◦33.2Rigel 281◦06.0 -8◦10.6

Capella 280◦25.1 46◦01.2Bellatrix 278◦25.2 6◦22.1Elnath 278◦04.7 28◦37.5Alnilam 275◦40.0 -1◦11.3

Betelgeuse 270◦54.5 7◦24.6Canopus 263◦53.0 -52◦42.4

Sirius 258◦28.0 -16◦44.6Adara 255◦07.5 -29◦00.0

Procyon 244◦53.1 5◦10.3Pollux 243◦20.0 27◦58.3Avior 234◦15.2 -59◦34.5Suhail 222◦47.8 -43◦31.0

Miaplacidus 221◦38.1 -69◦48.1Alphard 217◦50.0 -8◦45.1Regulus 207◦37.0 11◦51.6Dubhe 193◦44.0 61◦37.8

Denebola 182◦27.5 14◦27.0Gienah 175◦46.2 -17◦39.6Acrux 173◦03.0 -63◦12.8

Gacrux 171◦54.5 -57◦13.8Alioth 166◦15.5 55◦50.3Spica 158◦25.1 -11◦16.4Alcaid 152◦54.3 49◦12.1Hadar 148◦39.9 -60◦28.4

Menkent 148◦00.8 -36◦28.4Arcturus 145◦50.3 19◦04.4

Rigil Kent. 139◦44.2 -60◦55.2Zubenelg. 136◦59.1 -16◦07.8Kochab 137◦20.8 74◦03.8

Alphecca 126◦06.2 26◦38.5Antares 112◦19.3 -26◦28.7

Atria 107◦16.3 -69◦03.8Sabik 102◦06.0 -15◦45.0

Shaula 96◦14.2 -37◦07.1Rasalhague 96◦01.3 12◦32.7

Etamin 90◦43.9 51◦29.2Kaus Aust. 83◦36.3 -34◦22.4

Vega 80◦35.4 38◦48.3Nunki 75◦51.3 -26◦16.2Altair 62◦02.8 8◦55.5

Peacock 53◦10.2 -56◦40.1Deneb 49◦27.8 45◦21.6

Enif 33◦41.4 9◦58.5Alnair 27◦36.3 -46◦51.5

Fomalhaut 15◦17.5 -29◦30.6Scheat 13◦47.7 28◦12.2Markab 13◦32.5 15◦19.4

2021/12/ SHA Mer.passVenus 61◦41.2 14:16Mars 121◦00.8 10:20

Jupiter 29◦58.3 16:22Saturn 47◦08.6 15:14

2021/12/ SHA Mer.passVenus 61◦33.6 14:12Mars 120◦17.0 10:19

Jupiter 29◦48.7 16:19Saturn 47◦02.8 15:10

2021/12/ SHA Mer.passVenus 61◦28.5 14:09Mars 119◦33.1 10:18

Jupiter 29◦39.1 16:16Saturn 46◦57.0 15:07

Horizontal paralaxVenus: 0.4Mars: 0.1

234

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2021 December 15 to Dec. 17

h Sun MoonWed GHA Dec GHA ν Dec d HP0 181◦15.4 -23◦15.8 47◦37.3 15.4 12◦07.8 12.0 54.41 196◦15.1 -23◦16.0 62◦11.7 15.3 12◦19.7 11.9 54.42 211◦14.8 -23◦16.1 76◦46.0 15.3 12◦31.6 11.9 54.43 226◦14.5 -23◦16.2 91◦20.3 15.3 12◦43.4 11.8 54.44 241◦14.2 -23◦16.4 105◦54.5 15.2 12◦55.2 11.8 54.45 256◦13.9 -23◦16.5 120◦28.8 15.2 13◦06.9 11.7 54.46 271◦13.6 -23◦16.6 135◦03.0 15.2 13◦18.6 11.6 54.47 286◦13.3 -23◦16.7 149◦37.1 15.1 13◦30.2 11.6 54.38 301◦13.0 -23◦16.9 164◦11.3 15.1 13◦41.8 11.5 54.39 316◦12.7 -23◦17.0 178◦45.3 15.1 13◦53.3 11.5 54.310 331◦12.4 -23◦17.1 193◦19.4 15.0 14◦04.7 11.4 54.311 346◦12.1 -23◦17.2 207◦53.4 15.0 14◦16.1 11.3 54.312 1◦11.8 -23◦17.3 222◦27.4 15.0 14◦27.4 11.3 54.313 16◦11.5 -23◦17.5 237◦01.3 14.9 14◦38.6 11.2 54.314 31◦11.2 -23◦17.6 251◦35.2 14.9 14◦49.8 11.2 54.315 46◦10.9 -23◦17.7 266◦09.1 14.8 15◦01.0 11.1 54.316 61◦10.6 -23◦17.8 280◦42.9 14.8 15◦12.0 11.0 54.217 76◦10.3 -23◦17.9 295◦16.6 14.7 15◦23.1 11.0 54.218 91◦10.0 -23◦18.0 309◦50.4 14.7 15◦34.0 10.9 54.219 106◦09.7 -23◦18.2 324◦24.1 14.7 15◦44.9 10.8 54.220 121◦09.4 -23◦18.3 338◦57.7 14.6 15◦55.7 10.8 54.221 136◦09.1 -23◦18.4 353◦31.3 14.6 16◦06.4 10.7 54.222 151◦08.8 -23◦18.5 8◦04.8 14.5 16◦17.1 10.6 54.223 166◦08.5 -23◦18.6 22◦38.3 14.5 16◦27.7 10.6 54.2

SD.=16.2 d=-0.1 S.D.=14.8

Thu GHA Dec GHA ν Dec d HP0 181◦08.2 -23◦18.7 37◦11.8 14.4 16◦38.3 10.5 54.21 196◦07.9 -23◦18.8 51◦45.2 14.4 16◦48.7 10.4 54.22 211◦07.6 -23◦18.9 66◦18.6 14.3 16◦59.1 10.4 54.23 226◦07.3 -23◦19.1 80◦51.9 14.3 17◦09.4 10.3 54.14 241◦06.9 -23◦19.2 95◦25.2 14.2 17◦19.7 10.2 54.15 256◦06.6 -23◦19.3 109◦58.4 14.2 17◦29.9 10.1 54.16 271◦06.3 -23◦19.4 124◦31.6 14.2 17◦40.0 10.1 54.17 286◦06.0 -23◦19.5 139◦04.7 14.1 17◦50.0 10.0 54.18 301◦05.7 -23◦19.6 153◦37.8 14.1 17◦60.0 9.9 54.19 316◦05.4 -23◦19.7 168◦10.8 14.0 18◦09.9 9.8 54.110 331◦05.1 -23◦19.8 182◦43.8 14.0 18◦19.7 9.8 54.111 346◦04.8 -23◦19.9 197◦16.7 13.9 18◦29.4 9.7 54.112 1◦04.5 -23◦20.0 211◦49.6 13.8 18◦39.1 9.6 54.113 16◦04.2 -23◦20.1 226◦22.4 13.8 18◦48.6 9.5 54.114 31◦03.9 -23◦20.2 240◦55.2 13.7 18◦58.1 9.5 54.115 46◦03.6 -23◦20.3 255◦27.9 13.7 19◦07.5 9.4 54.116 61◦03.3 -23◦20.4 270◦00.6 13.6 19◦16.9 9.3 54.117 76◦03.0 -23◦20.5 284◦33.2 13.6 19◦26.1 9.2 54.118 91◦02.7 -23◦20.6 299◦05.7 13.5 19◦35.3 9.1 54.019 106◦02.4 -23◦20.7 313◦38.2 13.5 19◦44.4 9.0 54.020 121◦02.1 -23◦20.8 328◦10.7 13.4 19◦53.4 9.0 54.021 136◦01.8 -23◦20.9 342◦43.1 13.4 20◦02.3 8.9 54.022 151◦01.5 -23◦21.0 357◦15.4 13.3 20◦11.1 8.8 54.023 166◦01.2 -23◦21.1 11◦47.7 13.3 20◦19.8 8.7 54.0

SD.=16.3 d=-0.1 S.D.=14.8

Fri GHA Dec GHA ν Dec d HP0 181◦00.9 -23◦21.1 26◦20.0 13.2 20◦28.5 8.6 54.01 196◦00.6 -23◦21.2 40◦52.2 13.2 20◦37.1 8.5 54.02 211◦00.3 -23◦21.3 55◦24.3 13.1 20◦45.5 8.4 54.03 225◦60.0 -23◦21.4 69◦56.4 13.1 20◦53.9 8.3 54.04 240◦59.7 -23◦21.5 84◦28.4 13.0 21◦02.2 8.3 54.05 255◦59.4 -23◦21.6 99◦00.4 12.9 21◦10.4 8.2 54.06 270◦59.1 -23◦21.7 113◦32.3 12.9 21◦18.5 8.1 54.07 285◦58.8 -23◦21.8 128◦04.2 12.8 21◦26.6 8.0 54.08 300◦58.4 -23◦21.8 142◦36.0 12.8 21◦34.5 7.9 54.09 315◦58.1 -23◦21.9 157◦07.7 12.7 21◦42.3 7.8 54.010 330◦57.8 -23◦22.0 171◦39.4 12.7 21◦50.1 7.7 54.011 345◦57.5 -23◦22.1 186◦11.1 12.6 21◦57.7 7.6 54.012 0◦57.2 -23◦22.2 200◦42.6 12.6 22◦05.2 7.5 54.013 15◦56.9 -23◦22.3 215◦14.2 12.5 22◦12.7 7.4 54.014 30◦56.6 -23◦22.3 229◦45.7 12.5 22◦20.0 7.3 54.015 45◦56.3 -23◦22.4 244◦17.1 12.4 22◦27.3 7.2 54.016 60◦56.0 -23◦22.5 258◦48.5 12.3 22◦34.4 7.1 54.017 75◦55.7 -23◦22.6 273◦19.8 12.3 22◦41.5 7.0 54.018 90◦55.4 -23◦22.7 287◦51.1 12.2 22◦48.5 6.9 54.019 105◦55.1 -23◦22.7 302◦22.3 12.2 22◦55.3 6.8 54.020 120◦54.8 -23◦22.8 316◦53.4 12.1 23◦02.1 6.7 54.021 135◦54.5 -23◦22.9 331◦24.6 12.1 23◦08.7 6.6 54.022 150◦54.2 -23◦23.0 345◦55.6 12.0 23◦15.2 6.5 54.023 165◦53.9 -23◦23.0 0◦26.6 12.0 23◦21.7 6.4 54.0

SD.=16.3 d=-0.1 S.D.=14.7

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 08:22 10:50 –:– –:– 13:01 15:3070 08:02 09:49 –:– –:– 14:02 15:4968 07:46 09:15 –:– –:– 14:36 16:0566 07:33 08:50 10:29 13:22 15:01 16:1864 07:22 08:30 09:48 14:04 15:21 16:2962 07:12 08:14 09:20 14:32 15:37 16:3960 07:04 08:01 08:58 14:53 15:51 16:4758 06:57 07:49 08:41 15:10 16:02 16:5556 06:50 07:39 08:26 15:25 16:12 17:0154 06:44 07:30 08:14 15:38 16:21 17:0852 06:38 07:22 08:03 15:49 16:30 17:1350 06:33 07:14 07:53 15:59 16:37 17:1845 06:21 06:58 07:32 16:19 16:53 17:3040 06:11 06:45 07:15 16:36 17:06 17:4135 06:01 06:33 07:01 16:50 17:18 17:5030 05:53 06:23 06:49 17:02 17:29 17:5920 05:36 06:04 06:28 17:24 17:48 18:1510 05:20 05:47 06:09 17:42 18:05 18:310 05:03 05:29 05:52 17:59 18:22 18:48-10 04:44 05:11 05:34 18:17 18:40 19:07-20 04:22 04:51 05:16 18:36 19:00 19:30-30 03:53 04:26 04:54 18:58 19:25 19:59-35 03:34 04:11 04:41 19:11 19:41 20:17-40 03:11 03:53 04:26 19:26 19:59 20:40-45 02:41 03:30 04:08 19:44 20:21 21:11-50 01:56 03:01 03:45 20:06 20:51 21:56-52 01:28 02:46 03:34 20:17 21:06 22:24-54 00:43 02:28 03:22 20:29 21:24 23:09-56 –:– 02:06 03:08 20:44 21:46 –:–-58 –:– 01:37 02:51 21:00 22:16 –:–-60 –:– 00:48 02:31 21:21 23:05 –:–

Moonrise MoonsetLat. Wed Thu Fri Wed Thu Fri72 11:43 –:– –:– 06:05 –:– –:–70 12:11 11:25 –:– 05:39 07:56 –:–68 12:32 12:08 11:01 05:19 07:14 09:5666 12:49 12:36 12:16 05:03 06:47 08:4264 13:03 12:58 12:53 04:51 06:25 08:0562 13:15 13:16 13:20 04:40 06:09 07:3960 13:25 13:31 13:40 04:31 05:55 07:1958 13:34 13:44 13:57 04:23 05:43 07:0356 13:42 13:54 14:12 04:16 05:32 06:4954 13:49 14:04 14:24 04:10 05:23 06:3752 13:55 14:13 14:35 04:04 05:15 06:2650 14:01 14:21 14:45 03:59 05:08 06:1745 14:13 14:37 15:06 03:48 04:53 05:5740 14:23 14:51 15:23 03:39 04:40 05:4135 14:32 15:02 15:37 03:32 04:29 05:2830 14:40 15:13 15:49 03:25 04:20 05:1620 14:53 15:30 16:11 03:14 04:04 04:5610 15:05 15:46 16:29 03:03 03:50 04:390 15:16 16:00 16:47 02:54 03:37 04:22-10 15:27 16:15 17:04 02:45 03:24 04:06-20 15:40 16:31 17:23 02:35 03:11 03:49-30 15:53 16:49 17:45 02:23 02:55 03:30-35 16:02 16:59 17:57 02:17 02:46 03:18-40 16:11 17:12 18:12 02:10 02:36 03:05-45 16:22 17:26 18:30 02:01 02:23 02:50-50 16:35 17:44 18:52 01:51 02:09 02:31-52 16:41 17:52 19:02 01:46 02:02 02:22-54 16:48 18:02 19:14 01:41 01:55 02:12-56 16:56 18:12 19:28 01:35 01:46 02:01-58 17:04 18:25 19:44 01:29 01:37 01:48-60 17:14 18:39 20:03 01:22 01:26 01:33

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower15 05:02 04:47 11:55 21:26 09:05 11(88%)16 04:33 04:18 11:55 22:11 09:48 12(94%)17 04:04 03:49 11:56 22:58 10:34 13(97%)

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December 18, 19 ,20 (Sat., Sun., Mon.)Aries Venus Mars Jupiter Saturn

Sat GHA GHA Dec GHA Dec GHA Dec GHA Dec0 86◦49.6 148◦15.7 -21◦20.7 205◦38.8 -20◦46.8 116◦18.9 -13◦07.8 133◦40.8 -18◦24.11 101◦52.1 163◦18.1 -21◦20.2 220◦39.4 -20◦47.2 131◦21.0 -13◦07.6 148◦43.0 -18◦24.12 116◦54.6 178◦20.5 -21◦19.7 235◦40.0 -20◦47.5 146◦23.0 -13◦07.5 163◦45.2 -18◦24.03 131◦57.0 193◦22.9 -21◦19.1 250◦40.7 -20◦47.9 161◦25.1 -13◦07.3 178◦47.4 -18◦23.94 146◦59.5 208◦25.4 -21◦18.6 265◦41.3 -20◦48.2 176◦27.1 -13◦07.2 193◦49.7 -18◦23.95 162◦01.9 223◦27.8 -21◦18.1 280◦41.9 -20◦48.6 191◦29.2 -13◦07.0 208◦51.9 -18◦23.86 177◦04.4 238◦30.2 -21◦17.6 295◦42.5 -20◦49.0 206◦31.2 -13◦06.9 223◦54.1 -18◦23.77 192◦06.9 253◦32.7 -21◦17.0 310◦43.2 -20◦49.3 221◦33.3 -13◦06.7 238◦56.3 -18◦23.78 207◦09.3 268◦35.1 -21◦16.5 325◦43.8 -20◦49.7 236◦35.3 -13◦06.6 253◦58.5 -18◦23.69 222◦11.8 283◦37.6 -21◦16.0 340◦44.4 -20◦50.0 251◦37.4 -13◦06.4 269◦00.8 -18◦23.510 237◦14.3 298◦40.0 -21◦15.5 355◦45.0 -20◦50.4 266◦39.4 -13◦06.3 284◦03.0 -18◦23.511 252◦16.7 313◦42.5 -21◦14.9 10◦45.7 -20◦50.8 281◦41.5 -13◦06.1 299◦05.2 -18◦23.412 267◦19.2 328◦45.0 -21◦14.4 25◦46.3 -20◦51.1 296◦43.6 -13◦06.0 314◦07.4 -18◦23.313 282◦21.7 343◦47.4 -21◦13.9 40◦46.9 -20◦51.5 311◦45.6 -13◦05.8 329◦09.6 -18◦23.314 297◦24.1 358◦49.9 -21◦13.4 55◦47.5 -20◦51.8 326◦47.7 -13◦05.6 344◦11.8 -18◦23.215 312◦26.6 13◦52.4 -21◦12.8 70◦48.2 -20◦52.2 341◦49.7 -13◦05.5 359◦14.1 -18◦23.116 327◦29.1 28◦54.9 -21◦12.3 85◦48.8 -20◦52.5 356◦51.8 -13◦05.3 14◦16.3 -18◦23.117 342◦31.5 43◦57.4 -21◦11.8 100◦49.4 -20◦52.9 11◦53.8 -13◦05.2 29◦18.5 -18◦23.018 357◦34.0 58◦59.9 -21◦11.3 115◦50.0 -20◦53.3 26◦55.9 -13◦05.0 44◦20.7 -18◦23.019 12◦36.4 74◦02.4 -21◦10.7 130◦50.7 -20◦53.6 41◦57.9 -13◦04.9 59◦22.9 -18◦22.920 27◦38.9 89◦04.9 -21◦10.2 145◦51.3 -20◦54.0 56◦60.0 -13◦04.7 74◦25.1 -18◦22.821 42◦41.4 104◦07.4 -21◦09.7 160◦51.9 -20◦54.3 72◦02.0 -13◦04.6 89◦27.4 -18◦22.822 57◦43.8 119◦09.9 -21◦09.2 175◦52.5 -20◦54.7 87◦04.1 -13◦04.4 104◦29.6 -18◦22.723 72◦46.3 134◦12.4 -21◦08.6 190◦53.2 -20◦55.0 102◦06.1 -13◦04.3 119◦31.8 -18◦22.6Mer.pass.:18:09 v2.4 d0.5 m-4.3 v0.6 d-0.4 m1.6 v2.1 d0.2 m-2.0 v2.2 d0.1 m0.7

Sun GHA GHA Dec GHA Dec GHA Dec GHA Dec0 87◦48.8 149◦14.9 -21◦08.1 205◦53.8 -20◦55.4 117◦08.2 -13◦04.1 134◦34.0 -18◦22.61 102◦51.2 164◦17.4 -21◦07.6 220◦54.4 -20◦55.7 132◦10.2 -13◦04.0 149◦36.2 -18◦22.52 117◦53.7 179◦20.0 -21◦07.1 235◦55.0 -20◦56.1 147◦12.3 -13◦03.8 164◦38.4 -18◦22.43 132◦56.2 194◦22.5 -21◦06.6 250◦55.7 -20◦56.4 162◦14.3 -13◦03.7 179◦40.7 -18◦22.44 147◦58.6 209◦25.0 -21◦06.0 265◦56.3 -20◦56.8 177◦16.4 -13◦03.5 194◦42.9 -18◦22.35 163◦01.1 224◦27.6 -21◦05.5 280◦56.9 -20◦57.2 192◦18.4 -13◦03.3 209◦45.1 -18◦22.26 178◦03.6 239◦30.1 -21◦05.0 295◦57.5 -20◦57.5 207◦20.5 -13◦03.2 224◦47.3 -18◦22.27 193◦06.0 254◦32.7 -21◦04.5 310◦58.1 -20◦57.9 222◦22.5 -13◦03.0 239◦49.5 -18◦22.18 208◦08.5 269◦35.3 -21◦03.9 325◦58.8 -20◦58.2 237◦24.6 -13◦02.9 254◦51.7 -18◦22.09 223◦10.9 284◦37.8 -21◦03.4 340◦59.4 -20◦58.6 252◦26.6 -13◦02.7 269◦53.9 -18◦22.010 238◦13.4 299◦40.4 -21◦02.9 356◦00.0 -20◦58.9 267◦28.7 -13◦02.6 284◦56.2 -18◦21.911 253◦15.9 314◦43.0 -21◦02.4 11◦00.6 -20◦59.3 282◦30.7 -13◦02.4 299◦58.4 -18◦21.812 268◦18.3 329◦45.5 -21◦01.8 26◦01.2 -20◦59.6 297◦32.8 -13◦02.3 315◦00.6 -18◦21.813 283◦20.8 344◦48.1 -21◦01.3 41◦01.9 -20◦60.0 312◦34.8 -13◦02.1 330◦02.8 -18◦21.714 298◦23.3 359◦50.7 -21◦00.8 56◦02.5 -21◦00.3 327◦36.8 -13◦02.0 345◦05.0 -18◦21.615 313◦25.7 14◦53.3 -21◦00.3 71◦03.1 -21◦00.7 342◦38.9 -13◦01.8 0◦07.2 -18◦21.616 328◦28.2 29◦55.9 -20◦59.8 86◦03.7 -21◦01.0 357◦40.9 -13◦01.7 15◦09.5 -18◦21.517 343◦30.7 44◦58.5 -20◦59.2 101◦04.4 -21◦01.4 12◦43.0 -13◦01.5 30◦11.7 -18◦21.418 358◦33.1 60◦01.1 -20◦58.7 116◦05.0 -21◦01.7 27◦45.0 -13◦01.3 45◦13.9 -18◦21.419 13◦35.6 75◦03.7 -20◦58.2 131◦05.6 -21◦02.1 42◦47.1 -13◦01.2 60◦16.1 -18◦21.320 28◦38.1 90◦06.3 -20◦57.7 146◦06.2 -21◦02.4 57◦49.1 -13◦01.0 75◦18.3 -18◦21.221 43◦40.5 105◦08.9 -20◦57.1 161◦06.8 -21◦02.8 72◦51.2 -13◦00.9 90◦20.5 -18◦21.222 58◦43.0 120◦11.6 -20◦56.6 176◦07.4 -21◦03.1 87◦53.2 -13◦00.7 105◦22.7 -18◦21.123 73◦45.4 135◦14.2 -20◦56.1 191◦08.1 -21◦03.5 102◦55.3 -13◦00.6 120◦25.0 -18◦21.0Mer.pass.:18:05 v2.5 d0.5 m-4.3 v0.6 d-0.4 m1.6 v2.0 d0.2 m-2.0 v2.2 d0.1 m0.7

Mon GHA GHA Dec GHA Dec GHA Dec GHA Dec0 88◦47.9 150◦16.8 -20◦55.6 206◦08.7 -21◦03.8 117◦57.3 -13◦00.4 135◦27.2 -18◦21.01 103◦50.4 165◦19.5 -20◦55.1 221◦09.3 -21◦04.1 132◦59.4 -13◦00.3 150◦29.4 -18◦20.92 118◦52.8 180◦22.1 -20◦54.5 236◦09.9 -21◦04.5 148◦01.4 -13◦00.1 165◦31.6 -18◦20.83 133◦55.3 195◦24.7 -20◦54.0 251◦10.5 -21◦04.8 163◦03.4 -12◦59.9 180◦33.8 -18◦20.84 148◦57.8 210◦27.4 -20◦53.5 266◦11.2 -21◦05.2 178◦05.5 -12◦59.8 195◦36.0 -18◦20.75 164◦00.2 225◦30.0 -20◦53.0 281◦11.8 -21◦05.5 193◦07.5 -12◦59.6 210◦38.2 -18◦20.66 179◦02.7 240◦32.7 -20◦52.5 296◦12.4 -21◦05.9 208◦09.6 -12◦59.5 225◦40.5 -18◦20.67 194◦05.2 255◦35.4 -20◦51.9 311◦13.0 -21◦06.2 223◦11.6 -12◦59.3 240◦42.7 -18◦20.58 209◦07.6 270◦38.0 -20◦51.4 326◦13.6 -21◦06.6 238◦13.7 -12◦59.2 255◦44.9 -18◦20.49 224◦10.1 285◦40.7 -20◦50.9 341◦14.2 -21◦06.9 253◦15.7 -12◦59.0 270◦47.1 -18◦20.410 239◦12.6 300◦43.4 -20◦50.4 356◦14.9 -21◦07.3 268◦17.8 -12◦58.9 285◦49.3 -18◦20.311 254◦15.0 315◦46.1 -20◦49.9 11◦15.5 -21◦07.6 283◦19.8 -12◦58.7 300◦51.5 -18◦20.212 269◦17.5 330◦48.8 -20◦49.3 26◦16.1 -21◦07.9 298◦21.8 -12◦58.5 315◦53.7 -18◦20.213 284◦19.9 345◦51.5 -20◦48.8 41◦16.7 -21◦08.3 313◦23.9 -12◦58.4 330◦55.9 -18◦20.114 299◦22.4 0◦54.2 -20◦48.3 56◦17.3 -21◦08.6 328◦25.9 -12◦58.2 345◦58.2 -18◦20.015 314◦24.9 15◦56.9 -20◦47.8 71◦17.9 -21◦09.0 343◦28.0 -12◦58.1 1◦00.4 -18◦20.016 329◦27.3 30◦59.6 -20◦47.3 86◦18.5 -21◦09.3 358◦30.0 -12◦57.9 16◦02.6 -18◦19.917 344◦29.8 46◦02.3 -20◦46.7 101◦19.2 -21◦09.6 13◦32.1 -12◦57.8 31◦04.8 -18◦19.818 359◦32.3 61◦05.0 -20◦46.2 116◦19.8 -21◦10.0 28◦34.1 -12◦57.6 46◦07.0 -18◦19.819 14◦34.7 76◦07.7 -20◦45.7 131◦20.4 -21◦10.3 43◦36.1 -12◦57.4 61◦09.2 -18◦19.720 29◦37.2 91◦10.4 -20◦45.2 146◦21.0 -21◦10.7 58◦38.2 -12◦57.3 76◦11.4 -18◦19.621 44◦39.7 106◦13.2 -20◦44.7 161◦21.6 -21◦11.0 73◦40.2 -12◦57.1 91◦13.6 -18◦19.622 59◦42.1 121◦15.9 -20◦44.2 176◦22.2 -21◦11.4 88◦42.3 -12◦57.0 106◦15.9 -18◦19.523 74◦44.6 136◦18.6 -20◦43.6 191◦22.8 -21◦11.7 103◦44.3 -12◦56.8 121◦18.1 -18◦19.4Mer.pass.:18:01 v2.6 d0.5 m-4.3 v0.6 d-0.3 m1.6 v2.0 d0.2 m-2.0 v2.2 d0.1 m0.7

StarsSHA Dec

Alpheratz 357◦37.3 29◦12.8Ankaa 353◦09.6 -42◦11.5

Schedar 349◦33.7 56◦39.7Diphda 348◦49.6 -17◦52.2

Achernar 335◦21.9 -57◦07.9Hamal 327◦53.8 23◦34.0Polaris 314◦49.7 89◦21.6Akamar 315◦13.4 -40◦13.2Menkar 314◦08.5 4◦10.5Mirfak 308◦31.4 49◦56.4

Aldebaran 290◦42.2 16◦33.2Rigel 281◦05.9 -8◦10.6

Capella 280◦25.1 46◦01.2Bellatrix 278◦25.2 6◦22.1Elnath 278◦04.7 28◦37.5Alnilam 275◦40.0 -1◦11.3

Betelgeuse 270◦54.5 7◦24.6Canopus 263◦53.0 -52◦42.4

Sirius 258◦28.0 -16◦44.6Adara 255◦07.5 -29◦00.1

Procyon 244◦53.1 5◦10.3Pollux 243◦20.0 27◦58.3Avior 234◦15.2 -59◦34.5Suhail 222◦47.8 -43◦31.0

Miaplacidus 221◦38.1 -69◦48.1Alphard 217◦50.0 -8◦45.1Regulus 207◦36.9 11◦51.6Dubhe 193◦44.0 61◦37.8

Denebola 182◦27.5 14◦27.0Gienah 175◦46.2 -17◦39.6Acrux 173◦02.9 -63◦12.8

Gacrux 171◦54.5 -57◦13.8Alioth 166◦15.5 55◦50.3Spica 158◦25.1 -11◦16.4Alcaid 152◦54.3 49◦12.1Hadar 148◦39.9 -60◦28.4

Menkent 148◦00.8 -36◦28.4Arcturus 145◦50.3 19◦04.4

Rigil Kent. 139◦44.2 -60◦55.2Zubenelg. 136◦59.1 -16◦07.8Kochab 137◦20.7 74◦03.7

Alphecca 126◦06.2 26◦38.5Antares 112◦19.3 -26◦28.7

Atria 107◦16.3 -69◦03.8Sabik 102◦06.0 -15◦45.0

Shaula 96◦14.2 -37◦07.1Rasalhague 96◦01.3 12◦32.7

Etamin 90◦43.9 51◦29.2Kaus Aust. 83◦36.2 -34◦22.4

Vega 80◦35.4 38◦48.2Nunki 75◦51.3 -26◦16.2Altair 62◦02.8 8◦55.5

Peacock 53◦10.2 -56◦40.0Deneb 49◦27.8 45◦21.6

Enif 33◦41.5 9◦58.5Alnair 27◦36.3 -46◦51.5

Fomalhaut 15◦17.5 -29◦30.6Scheat 13◦47.7 28◦12.2Markab 13◦32.5 15◦19.4

2021/12/ SHA Mer.passVenus 61◦26.0 14:05Mars 118◦49.1 10:17

Jupiter 29◦29.3 16:13Saturn 46◦51.2 15:03

2021/12/ SHA Mer.passVenus 61◦26.1 14:01Mars 118◦05.0 10:16

Jupiter 29◦19.4 16:09Saturn 46◦45.2 14:60

2021/12/ SHA Mer.passVenus 61◦28.9 13:56Mars 117◦20.8 10:15

Jupiter 29◦09.4 16:06Saturn 46◦39.3 14:56

Horizontal paralaxVenus: 0.5Mars: 0.1

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2021 December 18 to Dec. 20

h Sun MoonSat GHA Dec GHA ν Dec d HP0 180◦53.6 -23◦23.1 14◦57.6 11.9 23◦28.0 6.3 54.01 195◦53.3 -23◦23.2 29◦28.5 11.9 23◦34.2 6.2 54.02 210◦52.9 -23◦23.2 43◦59.3 11.8 23◦40.4 6.1 54.03 225◦52.6 -23◦23.3 58◦30.1 11.8 23◦46.4 6.0 54.04 240◦52.3 -23◦23.4 73◦00.9 11.7 23◦52.3 5.9 54.05 255◦52.0 -23◦23.4 87◦31.6 11.7 23◦58.1 5.7 54.06 270◦51.7 -23◦23.5 102◦02.3 11.6 24◦03.8 5.6 54.07 285◦51.4 -23◦23.6 116◦32.9 11.6 24◦09.3 5.5 54.08 300◦51.1 -23◦23.6 131◦03.4 11.5 24◦14.8 5.4 54.09 315◦50.8 -23◦23.7 145◦34.0 11.5 24◦20.2 5.3 54.010 330◦50.5 -23◦23.8 160◦04.4 11.4 24◦25.4 5.2 54.011 345◦50.2 -23◦23.8 174◦34.8 11.4 24◦30.5 5.1 54.012 0◦49.9 -23◦23.9 189◦05.2 11.4 24◦35.6 5.0 54.013 15◦49.6 -23◦24.0 203◦35.6 11.3 24◦40.5 4.9 54.014 30◦49.3 -23◦24.0 218◦05.8 11.3 24◦45.3 4.7 54.015 45◦49.0 -23◦24.1 232◦36.1 11.2 24◦49.9 4.6 54.016 60◦48.7 -23◦24.1 247◦06.3 11.2 24◦54.5 4.5 54.017 75◦48.3 -23◦24.2 261◦36.4 11.1 24◦58.9 4.4 54.018 90◦48.0 -23◦24.3 276◦06.6 11.1 25◦03.3 4.3 54.019 105◦47.7 -23◦24.3 290◦36.6 11.1 25◦07.5 4.2 54.020 120◦47.4 -23◦24.4 305◦06.7 11.0 25◦11.6 4.0 54.021 135◦47.1 -23◦24.4 319◦36.7 11.0 25◦15.6 3.9 54.022 150◦46.8 -23◦24.5 334◦06.6 10.9 25◦19.4 3.8 54.023 165◦46.5 -23◦24.5 348◦36.5 10.9 25◦23.2 3.7 54.0

SD.=16.3 d=-0.1 S.D.=14.7

Sun GHA Dec GHA ν Dec d HP0 180◦46.2 -23◦24.6 3◦06.4 10.9 25◦26.8 3.6 54.01 195◦45.9 -23◦24.6 17◦36.3 10.8 25◦30.3 3.4 54.02 210◦45.6 -23◦24.7 32◦06.1 10.8 25◦33.7 3.3 54.03 225◦45.3 -23◦24.7 46◦35.8 10.8 25◦37.0 3.2 54.04 240◦45.0 -23◦24.8 61◦05.6 10.7 25◦40.1 3.1 54.05 255◦44.7 -23◦24.8 75◦35.3 10.7 25◦43.1 3.0 54.06 270◦44.4 -23◦24.9 90◦05.0 10.7 25◦46.0 2.8 54.07 285◦44.0 -23◦24.9 104◦34.6 10.6 25◦48.8 2.7 54.08 300◦43.7 -23◦25.0 119◦04.2 10.6 25◦51.5 2.6 54.09 315◦43.4 -23◦25.0 133◦33.8 10.6 25◦54.0 2.5 54.010 330◦43.1 -23◦25.1 148◦03.4 10.5 25◦56.4 2.3 54.011 345◦42.8 -23◦25.1 162◦32.9 10.5 25◦58.7 2.2 54.012 0◦42.5 -23◦25.1 177◦02.4 10.5 26◦00.8 2.1 54.013 15◦42.2 -23◦25.2 191◦31.9 10.5 26◦02.9 2.0 54.114 30◦41.9 -23◦25.2 206◦01.4 10.4 26◦04.8 1.8 54.115 45◦41.6 -23◦25.3 220◦30.8 10.4 26◦06.6 1.7 54.116 60◦41.3 -23◦25.3 235◦00.2 10.4 26◦08.2 1.6 54.117 75◦41.0 -23◦25.4 249◦29.6 10.4 26◦09.8 1.5 54.118 90◦40.7 -23◦25.4 263◦59.0 10.4 26◦11.2 1.3 54.119 105◦40.3 -23◦25.4 278◦28.3 10.3 26◦12.4 1.2 54.120 120◦40.0 -23◦25.5 292◦57.6 10.3 26◦13.6 1.1 54.121 135◦39.7 -23◦25.5 307◦27.0 10.3 26◦14.6 1.0 54.122 150◦39.4 -23◦25.5 321◦56.3 10.3 26◦15.5 0.8 54.123 165◦39.1 -23◦25.6 336◦25.5 10.3 26◦16.3 0.7 54.1

SD.=16.3 d=-0.1 S.D.=14.7

Mon GHA Dec GHA ν Dec d HP0 180◦38.8 -23◦25.6 350◦54.8 10.3 26◦17.0 0.6 54.11 195◦38.5 -23◦25.6 5◦24.1 10.3 26◦17.5 0.5 54.12 210◦38.2 -23◦25.7 19◦53.3 10.2 26◦17.9 0.3 54.13 225◦37.9 -23◦25.7 34◦22.6 10.2 26◦18.1 0.2 54.14 240◦37.6 -23◦25.7 48◦51.8 10.2 26◦18.3 0.1 54.15 255◦37.3 -23◦25.8 63◦21.0 10.2 26◦18.3 -0.1 54.26 270◦37.0 -23◦25.8 77◦50.2 10.2 26◦18.2 -0.2 54.27 285◦36.6 -23◦25.8 92◦19.4 10.2 26◦17.9 -0.3 54.28 300◦36.3 -23◦25.8 106◦48.6 10.2 26◦17.5 -0.4 54.29 315◦36.0 -23◦25.9 121◦17.8 10.2 26◦17.0 -0.6 54.210 330◦35.7 -23◦25.9 135◦47.0 10.2 26◦16.4 -0.7 54.211 345◦35.4 -23◦25.9 150◦16.2 10.2 26◦15.6 -0.8 54.212 0◦35.1 -23◦25.9 164◦45.4 10.2 26◦14.8 -1.0 54.213 15◦34.8 -23◦26.0 179◦14.6 10.2 26◦13.7 -1.1 54.214 30◦34.5 -23◦26.0 193◦43.8 10.2 26◦12.6 -1.2 54.215 45◦34.2 -23◦26.0 208◦13.0 10.2 26◦11.3 -1.3 54.216 60◦33.9 -23◦26.0 222◦42.2 10.2 26◦09.9 -1.5 54.217 75◦33.6 -23◦26.0 237◦11.4 10.2 26◦08.4 -1.6 54.218 90◦33.2 -23◦26.1 251◦40.6 10.2 26◦06.7 -1.7 54.319 105◦32.9 -23◦26.1 266◦09.8 10.2 26◦05.0 -1.8 54.320 120◦32.6 -23◦26.1 280◦39.0 10.2 26◦03.0 -2.0 54.321 135◦32.3 -23◦26.1 295◦08.2 10.2 26◦01.0 -2.1 54.322 150◦32.0 -23◦26.1 309◦37.5 10.2 25◦58.8 -2.2 54.323 165◦31.7 -23◦26.1 324◦06.7 10.3 25◦56.5 -2.4 54.3

SD.=16.3 d=-0.0 S.D.=14.8

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 08:25 10:56 –:– –:– 12:58 15:3070 08:04 09:53 –:– –:– 14:01 15:5068 07:48 09:18 –:– –:– 14:36 16:0666 07:35 08:53 10:33 13:21 15:02 16:1964 07:24 08:33 09:51 14:04 15:22 16:3062 07:15 08:17 09:22 14:32 15:38 16:4060 07:06 08:03 09:01 14:53 15:51 16:4858 06:59 07:51 08:43 15:11 16:03 16:5656 06:52 07:41 08:29 15:26 16:13 17:0254 06:46 07:32 08:16 15:38 16:22 17:0952 06:40 07:24 08:05 15:50 16:31 17:1450 06:35 07:16 07:55 15:59 16:38 17:2045 06:23 07:00 07:34 16:20 16:54 17:3140 06:13 06:47 07:17 16:37 17:08 17:4235 06:03 06:35 07:03 16:51 17:19 17:5130 05:54 06:24 06:51 17:04 17:30 17:6020 05:38 06:05 06:29 17:25 17:49 18:1610 05:22 05:48 06:11 17:43 18:06 18:330 05:05 05:31 05:53 18:01 18:23 18:50-10 04:46 05:13 05:36 18:19 18:42 19:09-20 04:23 04:52 05:17 18:38 19:02 19:31-30 03:54 04:27 04:55 18:60 19:27 20:00-35 03:35 04:12 04:42 19:13 19:42 20:19-40 03:12 03:54 04:27 19:28 20:01 20:42-45 02:41 03:31 04:09 19:46 20:23 21:13-50 01:56 03:01 03:46 20:08 20:53 21:59-52 01:28 02:46 03:35 20:19 21:08 22:27-54 00:41 02:28 03:23 20:32 21:26 23:14-56 –:– 02:06 03:09 20:46 21:48 –:–-58 –:– 01:36 02:52 21:03 22:18 –:–-60 –:– 00:46 02:31 21:23 23:09 –:–

Moonrise MoonsetLat. Sat Sun Mon Sat Sun Mon72 –:– –:– –:– –:– –:– –:–70 –:– –:– –:– –:– –:– –:–68 –:– –:– –:– –:– –:– –:–66 –:– –:– –:– –:– –:– –:–64 12:47 12:29 –:– 09:51 11:53 –:–62 13:28 13:50 14:38 09:10 10:32 11:3060 13:57 14:26 15:16 08:42 09:56 10:5258 14:19 14:52 15:42 08:20 09:30 10:2556 14:37 15:13 16:03 08:03 09:09 10:0454 14:52 15:30 16:21 07:48 08:52 09:4752 15:05 15:45 16:35 07:35 08:38 09:3250 15:17 15:57 16:48 07:23 08:25 09:1945 15:41 16:24 17:15 06:60 07:59 08:5240 16:00 16:45 17:36 06:41 07:38 08:3135 16:17 17:02 17:53 06:25 07:21 08:1430 16:31 17:17 18:08 06:12 07:06 07:5920 16:55 17:43 18:34 05:48 06:41 07:3310 17:16 18:05 18:56 05:28 06:19 07:110 17:35 18:25 19:16 05:10 05:59 06:50-10 17:55 18:46 19:37 04:51 05:39 06:29-20 18:16 19:08 19:59 04:31 05:17 06:07-30 18:40 19:34 20:24 04:09 04:52 05:41-35 18:55 19:49 20:39 03:55 04:38 05:26-40 19:11 20:07 20:57 03:40 04:21 05:08-45 19:31 20:28 21:17 03:21 04:00 04:47-50 19:57 20:55 21:44 02:59 03:34 04:20-52 20:09 21:08 21:57 02:48 03:22 04:07-54 20:23 21:23 22:11 02:35 03:08 03:52-56 20:39 21:41 22:28 02:21 02:51 03:34-58 20:59 22:02 22:49 02:05 02:31 03:13-60 21:23 22:30 23:15 01:45 02:07 02:45

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower18 03:34 03:20 11:56 23:47 11:22 14(100%)19 03:05 02:50 11:57 00:37 12:12 15(100%)20 02:35 02:20 11:57 00:37 13:03 16(98%)

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December 21, 22 ,23 (Tue., Wed., Thu.)Aries Venus Mars Jupiter Saturn

Tue GHA GHA Dec GHA Dec GHA Dec GHA Dec0 89◦47.1 151◦21.4 -20◦43.1 206◦23.5 -21◦12.0 118◦46.4 -12◦56.7 136◦20.3 -18◦19.41 104◦49.5 166◦24.1 -20◦42.6 221◦24.1 -21◦12.4 133◦48.4 -12◦56.5 151◦22.5 -18◦19.32 119◦52.0 181◦26.9 -20◦42.1 236◦24.7 -21◦12.7 148◦50.4 -12◦56.3 166◦24.7 -18◦19.23 134◦54.4 196◦29.6 -20◦41.6 251◦25.3 -21◦13.0 163◦52.5 -12◦56.2 181◦26.9 -18◦19.24 149◦56.9 211◦32.4 -20◦41.1 266◦25.9 -21◦13.4 178◦54.5 -12◦56.0 196◦29.1 -18◦19.15 164◦59.4 226◦35.2 -20◦40.5 281◦26.5 -21◦13.7 193◦56.6 -12◦55.9 211◦31.3 -18◦19.06 180◦01.8 241◦37.9 -20◦40.0 296◦27.1 -21◦14.1 208◦58.6 -12◦55.7 226◦33.6 -18◦19.07 195◦04.3 256◦40.7 -20◦39.5 311◦27.7 -21◦14.4 224◦00.6 -12◦55.6 241◦35.8 -18◦18.98 210◦06.8 271◦43.5 -20◦39.0 326◦28.3 -21◦14.7 239◦02.7 -12◦55.4 256◦38.0 -18◦18.89 225◦09.2 286◦46.3 -20◦38.5 341◦29.0 -21◦15.1 254◦04.7 -12◦55.2 271◦40.2 -18◦18.810 240◦11.7 301◦49.1 -20◦38.0 356◦29.6 -21◦15.4 269◦06.8 -12◦55.1 286◦42.4 -18◦18.711 255◦14.2 316◦51.9 -20◦37.4 11◦30.2 -21◦15.7 284◦08.8 -12◦54.9 301◦44.6 -18◦18.612 270◦16.6 331◦54.7 -20◦36.9 26◦30.8 -21◦16.1 299◦10.8 -12◦54.8 316◦46.8 -18◦18.513 285◦19.1 346◦57.5 -20◦36.4 41◦31.4 -21◦16.4 314◦12.9 -12◦54.6 331◦49.0 -18◦18.514 300◦21.5 2◦00.3 -20◦35.9 56◦32.0 -21◦16.7 329◦14.9 -12◦54.5 346◦51.2 -18◦18.415 315◦24.0 17◦03.1 -20◦35.4 71◦32.6 -21◦17.1 344◦17.0 -12◦54.3 1◦53.4 -18◦18.316 330◦26.5 32◦05.9 -20◦34.9 86◦33.2 -21◦17.4 359◦19.0 -12◦54.1 16◦55.7 -18◦18.317 345◦28.9 47◦08.7 -20◦34.3 101◦33.8 -21◦17.8 14◦21.0 -12◦54.0 31◦57.9 -18◦18.218 0◦31.4 62◦11.6 -20◦33.8 116◦34.4 -21◦18.1 29◦23.1 -12◦53.8 47◦00.1 -18◦18.119 15◦33.9 77◦14.4 -20◦33.3 131◦35.1 -21◦18.4 44◦25.1 -12◦53.7 62◦02.3 -18◦18.120 30◦36.3 92◦17.2 -20◦32.8 146◦35.7 -21◦18.8 59◦27.1 -12◦53.5 77◦04.5 -18◦18.021 45◦38.8 107◦20.1 -20◦32.3 161◦36.3 -21◦19.1 74◦29.2 -12◦53.3 92◦06.7 -18◦17.922 60◦41.3 122◦22.9 -20◦31.8 176◦36.9 -21◦19.4 89◦31.2 -12◦53.2 107◦08.9 -18◦17.923 75◦43.7 137◦25.8 -20◦31.3 191◦37.5 -21◦19.7 104◦33.3 -12◦53.0 122◦11.1 -18◦17.8Mer.pass.:17:57 v2.7 d0.5 m-4.2 v0.6 d-0.3 m1.6 v2.0 d0.2 m-2.0 v2.2 d0.1 m0.7

Wed GHA GHA Dec GHA Dec GHA Dec GHA Dec0 90◦46.2 152◦28.6 -20◦30.7 206◦38.1 -21◦20.1 119◦35.3 -12◦52.9 137◦13.3 -18◦17.71 105◦48.7 167◦31.5 -20◦30.2 221◦38.7 -21◦20.4 134◦37.3 -12◦52.7 152◦15.5 -18◦17.72 120◦51.1 182◦34.3 -20◦29.7 236◦39.3 -21◦20.7 149◦39.4 -12◦52.6 167◦17.8 -18◦17.63 135◦53.6 197◦37.2 -20◦29.2 251◦39.9 -21◦21.1 164◦41.4 -12◦52.4 182◦20.0 -18◦17.54 150◦56.0 212◦40.1 -20◦28.7 266◦40.5 -21◦21.4 179◦43.4 -12◦52.2 197◦22.2 -18◦17.55 165◦58.5 227◦43.0 -20◦28.2 281◦41.1 -21◦21.7 194◦45.5 -12◦52.1 212◦24.4 -18◦17.46 181◦01.0 242◦45.8 -20◦27.7 296◦41.7 -21◦22.1 209◦47.5 -12◦51.9 227◦26.6 -18◦17.37 196◦03.4 257◦48.7 -20◦27.2 311◦42.3 -21◦22.4 224◦49.5 -12◦51.8 242◦28.8 -18◦17.38 211◦05.9 272◦51.6 -20◦26.6 326◦43.0 -21◦22.7 239◦51.6 -12◦51.6 257◦31.0 -18◦17.29 226◦08.4 287◦54.5 -20◦26.1 341◦43.6 -21◦23.1 254◦53.6 -12◦51.4 272◦33.2 -18◦17.110 241◦10.8 302◦57.4 -20◦25.6 356◦44.2 -21◦23.4 269◦55.7 -12◦51.3 287◦35.4 -18◦17.111 256◦13.3 318◦00.3 -20◦25.1 11◦44.8 -21◦23.7 284◦57.7 -12◦51.1 302◦37.6 -18◦17.012 271◦15.8 333◦03.2 -20◦24.6 26◦45.4 -21◦24.0 299◦59.7 -12◦51.0 317◦39.9 -18◦16.913 286◦18.2 348◦06.2 -20◦24.1 41◦46.0 -21◦24.4 315◦01.8 -12◦50.8 332◦42.1 -18◦16.814 301◦20.7 3◦09.1 -20◦23.6 56◦46.6 -21◦24.7 330◦03.8 -12◦50.6 347◦44.3 -18◦16.815 316◦23.2 18◦12.0 -20◦23.1 71◦47.2 -21◦25.0 345◦05.8 -12◦50.5 2◦46.5 -18◦16.716 331◦25.6 33◦14.9 -20◦22.6 86◦47.8 -21◦25.3 0◦07.9 -12◦50.3 17◦48.7 -18◦16.617 346◦28.1 48◦17.9 -20◦22.0 101◦48.4 -21◦25.7 15◦09.9 -12◦50.2 32◦50.9 -18◦16.618 1◦30.5 63◦20.8 -20◦21.5 116◦49.0 -21◦26.0 30◦11.9 -12◦50.0 47◦53.1 -18◦16.519 16◦33.0 78◦23.7 -20◦21.0 131◦49.6 -21◦26.3 45◦14.0 -12◦49.8 62◦55.3 -18◦16.420 31◦35.5 93◦26.7 -20◦20.5 146◦50.2 -21◦26.6 60◦16.0 -12◦49.7 77◦57.5 -18◦16.421 46◦37.9 108◦29.6 -20◦20.0 161◦50.8 -21◦27.0 75◦18.0 -12◦49.5 92◦59.7 -18◦16.322 61◦40.4 123◦32.6 -20◦19.5 176◦51.4 -21◦27.3 90◦20.1 -12◦49.4 108◦01.9 -18◦16.223 76◦42.9 138◦35.6 -20◦19.0 191◦52.0 -21◦27.6 105◦22.1 -12◦49.2 123◦04.1 -18◦16.2Mer.pass.:17:53 v2.9 d0.5 m-4.2 v0.6 d-0.3 m1.6 v2.0 d0.2 m-2.0 v2.2 d0.1 m0.7

Thu GHA GHA Dec GHA Dec GHA Dec GHA Dec0 91◦45.3 153◦38.5 -20◦18.5 206◦52.6 -21◦27.9 120◦24.1 -12◦49.0 138◦06.3 -18◦16.11 106◦47.8 168◦41.5 -20◦18.0 221◦53.2 -21◦28.3 135◦26.2 -12◦48.9 153◦08.6 -18◦16.02 121◦50.3 183◦44.5 -20◦17.5 236◦53.8 -21◦28.6 150◦28.2 -12◦48.7 168◦10.8 -18◦16.03 136◦52.7 198◦47.5 -20◦17.0 251◦54.4 -21◦28.9 165◦30.2 -12◦48.6 183◦13.0 -18◦15.94 151◦55.2 213◦50.4 -20◦16.4 266◦55.0 -21◦29.2 180◦32.3 -12◦48.4 198◦15.2 -18◦15.85 166◦57.7 228◦53.4 -20◦15.9 281◦55.6 -21◦29.6 195◦34.3 -12◦48.2 213◦17.4 -18◦15.86 182◦00.1 243◦56.4 -20◦15.4 296◦56.2 -21◦29.9 210◦36.3 -12◦48.1 228◦19.6 -18◦15.77 197◦02.6 258◦59.4 -20◦14.9 311◦56.8 -21◦30.2 225◦38.4 -12◦47.9 243◦21.8 -18◦15.68 212◦05.0 274◦02.4 -20◦14.4 326◦57.4 -21◦30.5 240◦40.4 -12◦47.7 258◦24.0 -18◦15.59 227◦07.5 289◦05.4 -20◦13.9 341◦58.0 -21◦30.8 255◦42.4 -12◦47.6 273◦26.2 -18◦15.510 242◦10.0 304◦08.4 -20◦13.4 356◦58.6 -21◦31.2 270◦44.4 -12◦47.4 288◦28.4 -18◦15.411 257◦12.4 319◦11.5 -20◦12.9 11◦59.2 -21◦31.5 285◦46.5 -12◦47.3 303◦30.6 -18◦15.312 272◦14.9 334◦14.5 -20◦12.4 26◦59.8 -21◦31.8 300◦48.5 -12◦47.1 318◦32.8 -18◦15.313 287◦17.4 349◦17.5 -20◦11.9 42◦00.4 -21◦32.1 315◦50.5 -12◦46.9 333◦35.0 -18◦15.214 302◦19.8 4◦20.5 -20◦11.4 57◦01.0 -21◦32.4 330◦52.6 -12◦46.8 348◦37.2 -18◦15.115 317◦22.3 19◦23.6 -20◦10.9 72◦01.6 -21◦32.8 345◦54.6 -12◦46.6 3◦39.5 -18◦15.116 332◦24.8 34◦26.6 -20◦10.4 87◦02.2 -21◦33.1 0◦56.6 -12◦46.5 18◦41.7 -18◦15.017 347◦27.2 49◦29.7 -20◦09.9 102◦02.8 -21◦33.4 15◦58.7 -12◦46.3 33◦43.9 -18◦14.918 2◦29.7 64◦32.7 -20◦09.4 117◦03.4 -21◦33.7 31◦00.7 -12◦46.1 48◦46.1 -18◦14.919 17◦32.2 79◦35.8 -20◦08.9 132◦04.0 -21◦34.0 46◦02.7 -12◦46.0 63◦48.3 -18◦14.820 32◦34.6 94◦38.8 -20◦08.3 147◦04.6 -21◦34.4 61◦04.8 -12◦45.8 78◦50.5 -18◦14.721 47◦37.1 109◦41.9 -20◦07.8 162◦05.2 -21◦34.7 76◦06.8 -12◦45.6 93◦52.7 -18◦14.622 62◦39.5 124◦45.0 -20◦07.3 177◦05.8 -21◦35.0 91◦08.8 -12◦45.5 108◦54.9 -18◦14.623 77◦42.0 139◦48.0 -20◦06.8 192◦06.4 -21◦35.3 106◦10.8 -12◦45.3 123◦57.1 -18◦14.5Mer.pass.:17:50 v3.0 d0.5 m-4.2 v0.6 d-0.3 m1.6 v2.0 d0.2 m-2.0 v2.2 d0.1 m0.7

StarsSHA Dec

Alpheratz 357◦37.3 29◦12.8Ankaa 353◦09.6 -42◦11.5

Schedar 349◦33.7 56◦39.7Diphda 348◦49.7 -17◦52.2

Achernar 335◦21.9 -57◦07.9Hamal 327◦53.8 23◦34.0Polaris 314◦50.4 89◦21.6Akamar 315◦13.4 -40◦13.2Menkar 314◦08.5 4◦10.5Mirfak 308◦31.4 49◦56.4

Aldebaran 290◦42.2 16◦33.2Rigel 281◦05.9 -8◦10.6

Capella 280◦25.1 46◦01.2Bellatrix 278◦25.2 6◦22.1Elnath 278◦04.7 28◦37.5Alnilam 275◦39.9 -1◦11.3

Betelgeuse 270◦54.5 7◦24.6Canopus 263◦52.9 -52◦42.4

Sirius 258◦28.0 -16◦44.6Adara 255◦07.4 -29◦00.1

Procyon 244◦53.1 5◦10.3Pollux 243◦19.9 27◦58.3Avior 234◦15.2 -59◦34.6Suhail 222◦47.8 -43◦31.0

Miaplacidus 221◦38.1 -69◦48.1Alphard 217◦50.0 -8◦45.1Regulus 207◦36.9 11◦51.6Dubhe 193◦44.0 61◦37.7

Denebola 182◦27.4 14◦27.0Gienah 175◦46.1 -17◦39.6Acrux 173◦02.9 -63◦12.8

Gacrux 171◦54.5 -57◦13.8Alioth 166◦15.4 55◦50.2Spica 158◦25.1 -11◦16.4Alcaid 152◦54.3 49◦12.1Hadar 148◦39.9 -60◦28.4

Menkent 148◦00.8 -36◦28.4Arcturus 145◦50.3 19◦04.4

Rigil Kent. 139◦44.1 -60◦55.2Zubenelg. 136◦59.0 -16◦07.8Kochab 137◦20.7 74◦03.7

Alphecca 126◦06.2 26◦38.4Antares 112◦19.2 -26◦28.7

Atria 107◦16.3 -69◦03.8Sabik 102◦06.0 -15◦45.0

Shaula 96◦14.2 -37◦07.1Rasalhague 96◦01.2 12◦32.7

Etamin 90◦43.9 51◦29.2Kaus Aust. 83◦36.2 -34◦22.4

Vega 80◦35.4 38◦48.2Nunki 75◦51.2 -26◦16.2Altair 62◦02.8 8◦55.5

Peacock 53◦10.2 -56◦40.0Deneb 49◦27.8 45◦21.6

Enif 33◦41.5 9◦58.5Alnair 27◦36.4 -46◦51.5

Fomalhaut 15◦17.5 -29◦30.6Scheat 13◦47.7 28◦12.2Markab 13◦32.5 15◦19.4

2021/12/ SHA Mer.passVenus 61◦34.3 13:52Mars 116◦36.4 10:14

Jupiter 28◦59.3 16:03Saturn 46◦33.2 14:52

2021/12/ SHA Mer.passVenus 61◦42.4 13:47Mars 115◦51.9 10:13

Jupiter 28◦49.1 15:59Saturn 46◦27.1 14:49

2021/12/ SHA Mer.passVenus 61◦53.2 13:43Mars 115◦07.3 10:12

Jupiter 28◦38.8 15:56Saturn 46◦21.0 14:45

Horizontal paralaxVenus: 0.5Mars: 0.1

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