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  • downloaded from:

    TheNauticalAlmanac.com

    Disclaimer: These are computer generated tables from a program written by Enno Rodegerdts. Use at 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.

    The Nautical Almanac 2017

  • The Nautical AlmanacTable of Contents

    Part Page

    Calendar, yearly 3

    Formulas 4-5

    Explanation of The Nautical Almanac pages 6-9

    Note! Monthly almanac page numbers are found at the bottom of each page

    January 2

    February 22

    March 40

    April 62

    May 82

    June 102

    July 122

    August 142

    September 164

    October 184

    November 204

    December 224

    Note! Increments and Corrections are found on the pdf page numbers below

    Increments and Corrections 132-151

    Navigational Star Chart 152

    fair winds, clear skies & following seasTheNauticalAlmanac.com

    Copyright 2017 TheNauticalAlmanac.comYou are free to copy and distribute this document in its entirety

    freely ye received, freely give

  • 2017January February March

    M Tu W Th F Sa Su M Tu W Th F Sa Su M Tu W Th F Sa Su1 1 2 3 4 5 1 2 3 4 5

    2 3 4 5 6 7 8 6 7 8 9 10 11 12 6 7 8 9 10 11 129 10 11 12 13 14 15 13 14 15 16 17 18 19 13 14 15 16 17 18 19

    16 17 18 19 20 21 22 20 21 22 23 24 25 26 20 21 22 23 24 25 2623 24 25 26 27 28 29 27 28 27 28 29 30 3130 31

    April May JuneM Tu W Th F Sa Su M Tu W Th F Sa Su M Tu W Th F Sa Su

    1 2 1 2 3 4 5 6 7 1 2 3 43 4 5 6 7 8 9 8 9 10 11 12 13 14 5 6 7 8 9 10 11

    10 11 12 13 14 15 16 15 16 17 18 19 20 21 12 13 14 15 16 17 1817 18 19 20 21 22 23 22 23 24 25 26 27 28 19 20 21 22 23 24 2524 25 26 27 28 29 30 29 30 31 26 27 28 29 30

    July August SeptemberM Tu W Th F Sa Su M Tu W Th F Sa Su M Tu W Th F Sa Su

    1 2 1 2 3 4 5 6 1 2 33 4 5 6 7 8 9 7 8 9 10 11 12 13 4 5 6 7 8 9 10

    10 11 12 13 14 15 16 14 15 16 17 18 19 20 11 12 13 14 15 16 1717 18 19 20 21 22 23 21 22 23 24 25 26 27 18 19 20 21 22 23 2424 25 26 27 28 29 30 28 29 30 31 25 26 27 28 29 3031

    October November DecemberM Tu W Th F Sa Su M Tu W Th F Sa Su M Tu W Th F Sa Su

    1 1 2 3 4 5 1 2 32 3 4 5 6 7 8 6 7 8 9 10 11 12 4 5 6 7 8 9 109 10 11 12 13 14 15 13 14 15 16 17 18 19 11 12 13 14 15 16 17

    16 17 18 19 20 21 22 20 21 22 23 24 25 26 18 19 20 21 22 23 2423 24 25 26 27 28 29 27 28 29 30 25 26 27 28 29 30 3130 31

  • Celestial Navigation useful Formulas

    About Calculators

    The Casio fx-300ES Plus is an inexpensive calculator at about 11 USD. It features natural input soyou enter a formula just as it would be written on paper. Entering degrees, minutes and seconds isvery simple. The Casio fx-300ES Plus has 9 memory locations and you can review many of theprevious entries you make using a special key on the calculator.

    Determine Hc using a calculator

    The formula

    Hc = asin[sin(Declination)*sin(Latitude) + cos(Latitude)*cos(Declination)*cos(LHA)]

    As it would be entered into the Casio calculator

    Sin-1(Sin(Ap Latitude) x Sin(Declination) + Cos(Ap Latitude) x Cos(Declination) x Cos(LHA)

    Declination is the declination of the Celestial body you're observing. When the heavenly body's declination is Contrary name to your Ap Latitude enter a negative sign before it.

    Latitude is the Latitude where you are, think you are or where you would like to determine Hc for.Typically, you'll be using an Assumed position Latitude or Ap Latitude as it's called.

    In Western Longitudes

    LHA is the Local Hour Angle which is derived from subtracting your whole number value ofLongitude (Assumed or otherwise) from the whole number value of GHA (Greenwich Hour Angle).

    In Eastern Longitudes

    LHA, in Eastern Longitudes, is determined by rounding up the GHA figure to the next highestwhole degree figure then adding the DR. Longitude to GHA to obtain LHA. Only add the wholedegree DR. Longitude figure to the rounded up whole degree GHA figure. If the resulting LHAfigure is greater than 360° then subtract 360° from the figure to obtain the LHA.

    Why would you want to determine Hc using a calculator?

    It's faster than looking up in Pub. No. 249 and Pub. No. 229, highly accurate and you don't need alot of printed out pages of Latitudes from Pub. No. 249 and Pub. No. 229. Pub. No. 249 Vol. 2 & 3don't cover any declination greater than 29 degrees so you'd have to use Pub. No. 229 which isextremely large.

  • Celestial Navigation

    Determine Z

    Z = acos[(sin(Declination) – sin(Ap Latitude) x sin(Hc)) ÷ (cos(Ap Latitude) x cos(Hc))]

    As it would be entered into the Casio calculator...

    Cos-1((Sin(Declination) – Sin(AP Latitude) x Sin(Hc)) ÷ (Cos(AP Latitude) x Cos(Hc)

    If the heavenly body's declination is Contrary name to the Ap Latitude enter a negative sign before it.

    To obtain Zn see the rules below for Northern and Southern latitudes.

    Determine Z independent of Hc

    “L” is latitude and “d” is declination. When the heavenly body's declination is Contrary name to your Ap Latitude enter a negative sign before it.

    As it would be entered into the Casio calculator...

    Z = tan-1 ((sin (LHA) ÷ (cos(AP latitude) x tan(declination) – (sin(AP latitude) x cos(LHA))

    The sign convention used in the calculation of this azimuth formula is as follows: from Bowditch Chapter 22 CALCULATIONS AND CONVERSIONS, page 331

    1) If latitude and declination are of contrary name, declination is treated as a negative quantity;2) If the local hour angle is greater than 180°, it is treated as a negative quantity. If the azimuth angle as calculated is negative, add 180° to obtain the desired value.

    To obtain Zn apply the following rules In Northern Latitudes LHA greater than 180°....Zn=Z LHA less than 180°...........Zn=360° – Z

    In Southern Latitudes LHA greater than 180°....Zn= 180° – Z LHA less than 180°...........Zn= 180° + Z

    Determine Refraction 0.96 ÷ Tan of (Ha)

    Determine Dip using feet 0.97 x (Square Root of He (Height of Eye) in feet)

    Determine Dip using meters 1.76 x (Square Root of He (Height of eye) in meters )

    fair winds...clear skies and following seasTheNauticalAlmanac.com

  • Useful Information

    Time Signals- by telephone

    WWV 303-499-7111 WWVH 808-335-4363

    CHU English: 613-745-1576 (CHU provides only Eastern time announcements)French: 613-745-9426

    Time signals- by Radio

    WWV (Fort Collins, Colorado) 2.5, 5, 10, 15, 20 MHz (male voice)WWVH ( Kauai, Hawaii) 2.5, 5, 10, 15 MHz (female voice)CHU (Ottawa, Canada) 3330, 7850, and 14,670 kHz (USB)

    Bowditch 2017- The American Practical Navigator

    https://TheNauticalAlmanac.com/2017_Bowditch-_American_Practical_Navigator.html

    Organized in a convenient and useful manner. Download the Chapters, Parts or Tables you want or the entire work.

    The Terrestrial Almanac Annual calendar and day planner for the entire year.

    https://TheNauticalAlmanac.com/TerrestrialAlmanac.html

    Pub. No. 249 Download individual Latitudes or Volumes

    https://TheNauticalAlmanac.com/Pub. No. 249.html

    Pub. No. 229 Download individual Volumes covering a range of Latitudes

    https://TheNauticalAlmanac.com/Pub. No. 229.html

    Sight Reduction Forms & Methods

    https://www.TheNauticalAlmanac.com/Methods.html

    Time Signals and Links.odt

    https://TheNauticalAlmanac.com/Pub.%20No.%20229.htmlhttps://TheNauticalAlmanac.com/Pub.%20No.%20249.htmlhttps://TheNauticalAlmanac.com/TerrestrialAlmanac.html

  • Greenwich and the Equation of Time.

    17continued

    Example- May 30, 2016. Mer. Pass is at UT 11:57. 12h is 02:25. This means subtract 2 minutes and 25seconds from UT 12 to calculate when Meridian Passage is at Greenwich. So at W 075° meridian passagewould occur at about- 12 hours + 5 hours MINUS 2 minutes and 25 seconds, or UT 16:57:35.

    18Sun- Mer. Pass just to the right of the Eqn. of Time is the approximate GMT/UT when the Sun crosses ThePrime Meridian (at Greenwich) for that specific date.

    19

    Moon- Mer. Pass- is the approximate GMT/UT when the Moon crosses The Prime Meridian (at Greenwich)or The International Date Line for that specific date. Upper means the GMT/UT when the Moon crossesThe Prime Meridian (Greenwich) and Lower means the GMT/UT when the Moon crosses The InternationalDate Line (180°).

    20 Moon- Age- this is the number of days past a new Moon. Typically, there are 29 days in a lunar month.

    20continued

    Moon- %- the amount of the Moon's illumination. 100% would be a full moon. 49% would be about ½ of the Moon is illuminated.

    21*see note at

    bottom

    (morning) Twilight- Naut.- the approximate GMT/UT when morning Nautical Twilight begins. Nauticaltwilight is the time when the center of the sun is 12° below the horizon and the horizon is visible enoughto be used for marine sextant observations. First locate your approximate Latitude in the Lat. column andthen follow across horizontally to the right to find the time.

    21*see note at

    bottom

    (morning) Twilight- Civil- the approximate GMT/UT of morning civil twilight starts when the geometriccenter of the sun is 6° below the horizon. First locate your approximate Latitude in the Lat. column andthen follow across horizontally to the right to find the time.

    21*see note at

    bottom

    Sunrise- the approximate GMT/UT when the Sun is 0° 50' (semi-diameter plus refraction) below thehorizon. First locate your approximate Latitude in the Lat. column and then follow across horizontally tothe right to find the time.

    21*see note at

    bottom

    (evening) Twilight- Naut.- the approximate GMT/UT of when evening Nautical Twilight ends. Nauticaltwilight is the time when the center of the sun is 12° below the horizon and the horizon is no longer visibleenough to be used for sextant observations. First locate your approximate Latitude in the Lat. columnand then follow across horizontally to the right to find the time.

    21*see note at

    bottom

    (evening) Twilight- Civil- the approximate GMT/UT of evening civil twilight that ends when the geometriccenter of the sun is 6° below the horizon. First locate your approximate Latitude in the Lat. column andthen follow across horizontally to the right to find the time.

    21*see note at

    bottom

    Sunset- the approximate GMT/UT when the Sun is 0° 50' (semi-diameter plus refraction) below thehorizon. First locate your approximate Latitude in the Lat. column and then follow across horizontally tothe right to find the time.

    22*see note at

    bottom

    Moonrise- the approximate GMT/UT when the Moon is about 0° 05' to 0° 10' below the horizon. First locate your approximate Latitude in the Lat. column and then follow across horizontally to the right to find the time under the specific day.

    The USNO has a more detailed explanation of this here- http://aa.usno.navy.mil/faq/docs/RST_defs.php

    22*see note at

    bottom

    Moonset- the approximate GMT/UT when the Moon is about 0° 05' to 0° 10' below the horizon. First locate your approximate Latitude in the Lat. column and then follow across horizontally to the right to find the time under the specific day.

    The USNO has a more detailed explanation of this here- http://aa.usno.navy.mil/faq/docs/RST_defs.php

    * Note- Time of Sunrise, Sunset, Moonrise, Moonset and twilight is based on GMT/UT of the event at 0° (Greenwich). To determine the GMT/UT time at your Longitude add or subtract the time difference between your AP Longitude and Greenwich.

    Explanation of The Nautical Almanac Daily Pages.odt

  • January 01, 02 ,03 (Sun., Mon., Tue.)Aries Venus Mars Jupiter Saturn

    Sun GHA GHA Dec GHA Dec GHA Dec GHA Dec0 100◦50.2 130◦38.5 -13◦41.9 119◦24.8 -8◦48.6 260◦48.8 -7◦03.6 200◦08.3 -21◦52.41 115◦52.6 145◦38.4 -13◦40.8 134◦25.5 -8◦47.8 275◦51.0 -7◦03.7 215◦10.5 -21◦52.42 130◦55.1 160◦38.3 -13◦39.7 149◦26.2 -8◦47.1 290◦53.2 -7◦03.8 230◦12.6 -21◦52.53 145◦57.6 175◦38.2 -13◦38.6 164◦27.0 -8◦46.3 305◦55.5 -7◦03.9 245◦14.8 -21◦52.54 161◦00.0 190◦38.1 -13◦37.5 179◦27.7 -8◦45.6 320◦57.7 -7◦04.0 260◦17.0 -21◦52.55 176◦02.5 205◦38.0 -13◦36.4 194◦28.4 -8◦44.8 335◦59.9 -7◦04.1 275◦19.1 -21◦52.56 191◦05.0 220◦37.9 -13◦35.3 209◦29.1 -8◦44.1 351◦02.1 -7◦04.1 290◦21.3 -21◦52.57 206◦07.4 235◦37.8 -13◦34.2 224◦29.8 -8◦43.3 6◦04.3 -7◦04.2 305◦23.4 -21◦52.68 221◦09.9 250◦37.7 -13◦33.1 239◦30.5 -8◦42.6 21◦06.5 -7◦04.3 320◦25.6 -21◦52.69 236◦12.4 265◦37.6 -13◦32.0 254◦31.2 -8◦41.8 36◦08.7 -7◦04.4 335◦27.8 -21◦52.610 251◦14.8 280◦37.6 -13◦30.9 269◦31.9 -8◦41.1 51◦11.0 -7◦04.5 350◦29.9 -21◦52.611 266◦17.3 295◦37.5 -13◦29.8 284◦32.6 -8◦40.3 66◦13.2 -7◦04.6 5◦32.1 -21◦52.612 281◦19.7 310◦37.4 -13◦28.7 299◦33.4 -8◦39.6 81◦15.4 -7◦04.7 20◦34.2 -21◦52.713 296◦22.2 325◦37.3 -13◦27.6 314◦34.1 -8◦38.8 96◦17.6 -7◦04.8 35◦36.4 -21◦52.714 311◦24.7 340◦37.2 -13◦26.5 329◦34.8 -8◦38.1 111◦19.8 -7◦04.9 50◦38.5 -21◦52.715 326◦27.1 355◦37.1 -13◦25.4 344◦35.5 -8◦37.3 126◦22.0 -7◦04.9 65◦40.7 -21◦52.716 341◦29.6 10◦37.0 -13◦24.3 359◦36.2 -8◦36.6 141◦24.3 -7◦05.0 80◦42.9 -21◦52.717 356◦32.1 25◦37.0 -13◦23.2 14◦36.9 -8◦35.8 156◦26.5 -7◦05.1 95◦45.0 -21◦52.818 11◦34.5 40◦36.9 -13◦22.1 29◦37.6 -8◦35.0 171◦28.7 -7◦05.2 110◦47.2 -21◦52.819 26◦37.0 55◦36.8 -13◦21.0 44◦38.3 -8◦34.3 186◦30.9 -7◦05.3 125◦49.3 -21◦52.820 41◦39.5 70◦36.7 -13◦19.9 59◦39.1 -8◦33.5 201◦33.1 -7◦05.4 140◦51.5 -21◦52.821 56◦41.9 85◦36.7 -13◦18.8 74◦39.8 -8◦32.8 216◦35.4 -7◦05.5 155◦53.7 -21◦52.822 71◦44.4 100◦36.6 -13◦17.7 89◦40.5 -8◦32.0 231◦37.6 -7◦05.6 170◦55.8 -21◦52.823 86◦46.9 115◦36.5 -13◦16.6 104◦41.2 -8◦31.3 246◦39.8 -7◦05.6 185◦58.0 -21◦52.9Mer.pass.:17:13 v-0.1 d1.1 m-4.2 v0.7 d0.8 m0.9 v2.2 d-0.1 m-1.8 v2.2 d-0.0 m0.5

    Mon GHA GHA Dec GHA Dec GHA Dec GHA Dec0 101◦49.3 130◦36.4 -13◦15.5 119◦41.9 -8◦30.5 261◦42.0 -7◦05.7 201◦00.1 -21◦52.91 116◦51.8 145◦36.4 -13◦14.4 134◦42.6 -8◦29.8 276◦44.2 -7◦05.8 216◦02.3 -21◦52.92 131◦54.2 160◦36.3 -13◦13.3 149◦43.3 -8◦29.0 291◦46.5 -7◦05.9 231◦04.5 -21◦52.93 146◦56.7 175◦36.2 -13◦12.2 164◦44.1 -8◦28.3 306◦48.7 -7◦06.0 246◦06.6 -21◦52.94 161◦59.2 190◦36.1 -13◦11.1 179◦44.8 -8◦27.5 321◦50.9 -7◦06.1 261◦08.8 -21◦53.05 177◦01.6 205◦36.1 -13◦10.0 194◦45.5 -8◦26.7 336◦53.1 -7◦06.2 276◦10.9 -21◦53.06 192◦04.1 220◦36.0 -13◦08.9 209◦46.2 -8◦26.0 351◦55.3 -7◦06.3 291◦13.1 -21◦53.07 207◦06.6 235◦35.9 -13◦07.8 224◦46.9 -8◦25.2 6◦57.6 -7◦06.3 306◦15.3 -21◦53.08 222◦09.0 250◦35.9 -13◦06.7 239◦47.6 -8◦24.5 21◦59.8 -7◦06.4 321◦17.4 -21◦53.09 237◦11.5 265◦35.8 -13◦05.6 254◦48.3 -8◦23.7 37◦02.0 -7◦06.5 336◦19.6 -21◦53.110 252◦14.0 280◦35.7 -13◦04.5 269◦49.1 -8◦23.0 52◦04.2 -7◦06.6 351◦21.7 -21◦53.111 267◦16.4 295◦35.7 -13◦03.4 284◦49.8 -8◦22.2 67◦06.4 -7◦06.7 6◦23.9 -21◦53.112 282◦18.9 310◦35.6 -13◦02.3 299◦50.5 -8◦21.5 82◦08.7 -7◦06.8 21◦26.1 -21◦53.113 297◦21.4 325◦35.5 -13◦01.2 314◦51.2 -8◦20.7 97◦10.9 -7◦06.9 36◦28.2 -21◦53.114 312◦23.8 340◦35.5 -13◦00.1 329◦51.9 -8◦20.0 112◦13.1 -7◦07.0 51◦30.4 -21◦53.115 327◦26.3 355◦35.4 -12◦59.0 344◦52.6 -8◦19.2 127◦15.3 -7◦07.0 66◦32.5 -21◦53.216 342◦28.7 10◦35.4 -12◦57.9 359◦53.3 -8◦18.4 142◦17.6 -7◦07.1 81◦34.7 -21◦53.217 357◦31.2 25◦35.3 -12◦56.8 14◦54.1 -8◦17.7 157◦19.8 -7◦07.2 96◦36.9 -21◦53.218 12◦33.7 40◦35.2 -12◦55.6 29◦54.8 -8◦16.9 172◦22.0 -7◦07.3 111◦39.0 -21◦53.219 27◦36.1 55◦35.2 -12◦54.5 44◦55.5 -8◦16.2 187◦24.2 -7◦07.4 126◦41.2 -21◦53.220 42◦38.6 70◦35.1 -12◦53.4 59◦56.2 -8◦15.4 202◦26.5 -7◦07.5 141◦43.3 -21◦53.321 57◦41.1 85◦35.1 -12◦52.3 74◦56.9 -8◦14.7 217◦28.7 -7◦07.6 156◦45.5 -21◦53.322 72◦43.5 100◦35.0 -12◦51.2 89◦57.6 -8◦13.9 232◦30.9 -7◦07.6 171◦47.7 -21◦53.323 87◦46.0 115◦35.0 -12◦50.1 104◦58.4 -8◦13.1 247◦33.1 -7◦07.7 186◦49.8 -21◦53.3Mer.pass.:17:09 v-0.1 d1.1 m-4.2 v0.7 d0.8 m0.9 v2.2 d-0.1 m-1.8 v2.2 d-0.0 m0.5

    Tue GHA GHA Dec GHA Dec GHA Dec GHA Dec0 102◦48.5 130◦34.9 -12◦49.0 119◦59.1 -8◦12.4 262◦35.4 -7◦07.8 201◦52.0 -21◦53.31 117◦50.9 145◦34.9 -12◦47.9 134◦59.8 -8◦11.6 277◦37.6 -7◦07.9 216◦54.1 -21◦53.42 132◦53.4 160◦34.8 -12◦46.8 150◦00.5 -8◦10.9 292◦39.8 -7◦08.0 231◦56.3 -21◦53.43 147◦55.8 175◦34.8 -12◦45.6 165◦01.2 -8◦10.1 307◦42.0 -7◦08.1 246◦58.5 -21◦53.44 162◦58.3 190◦34.7 -12◦44.5 180◦01.9 -8◦09.4 322◦44.3 -7◦08.2 262◦00.6 -21◦53.45 178◦00.8 205◦34.7 -12◦43.4 195◦02.7 -8◦08.6 337◦46.5 -7◦08.2 277◦02.8 -21◦53.46 193◦03.2 220◦34.6 -12◦42.3 210◦03.4 -8◦07.8 352◦48.7 -7◦08.3 292◦04.9 -21◦53.47 208◦05.7 235◦34.6 -12◦41.2 225◦04.1 -8◦07.1 7◦50.9 -7◦08.4 307◦07.1 -21◦53.58 223◦08.2 250◦34.5 -12◦40.1 240◦04.8 -8◦06.3 22◦53.2 -7◦08.5 322◦09.3 -21◦53.59 238◦10.6 265◦34.5 -12◦39.0 255◦05.5 -8◦05.6 37◦55.4 -7◦08.6 337◦11.4 -21◦53.510 253◦13.1 280◦34.4 -12◦37.8 270◦06.2 -8◦04.8 52◦57.6 -7◦08.7 352◦13.6 -21◦53.511 268◦15.6 295◦34.4 -12◦36.7 285◦07.0 -8◦04.1 67◦59.9 -7◦08.7 7◦15.7 -21◦53.512 283◦18.0 310◦34.3 -12◦35.6 300◦07.7 -8◦03.3 83◦02.1 -7◦08.8 22◦17.9 -21◦53.613 298◦20.5 325◦34.3 -12◦34.5 315◦08.4 -8◦02.5 98◦04.3 -7◦08.9 37◦20.1 -21◦53.614 313◦23.0 340◦34.3 -12◦33.4 330◦09.1 -8◦01.8 113◦06.5 -7◦09.0 52◦22.2 -21◦53.615 328◦25.4 355◦34.2 -12◦32.3 345◦09.8 -8◦01.0 128◦08.8 -7◦09.1 67◦24.4 -21◦53.616 343◦27.9 10◦34.2 -12◦31.1 0◦10.6 -8◦00.3 143◦11.0 -7◦09.2 82◦26.5 -21◦53.617 358◦30.3 25◦34.2 -12◦30.0 15◦11.3 -7◦59.5 158◦13.2 -7◦09.2 97◦28.7 -21◦53.618 13◦32.8 40◦34.1 -12◦28.9 30◦12.0 -7◦58.8 173◦15.5 -7◦09.3 112◦30.9 -21◦53.719 28◦35.3 55◦34.1 -12◦27.8 45◦12.7 -7◦58.0 188◦17.7 -7◦09.4 127◦33.0 -21◦53.720 43◦37.7 70◦34.0 -12◦26.7 60◦13.4 -7◦57.2 203◦19.9 -7◦09.5 142◦35.2 -21◦53.721 58◦40.2 85◦34.0 -12◦25.5 75◦14.1 -7◦56.5 218◦22.2 -7◦09.6 157◦37.4 -21◦53.722 73◦42.7 100◦34.0 -12◦24.4 90◦14.9 -7◦55.7 233◦24.4 -7◦09.7 172◦39.5 -21◦53.723 88◦45.1 115◦33.9 -12◦23.3 105◦15.6 -7◦55.0 248◦26.6 -7◦09.7 187◦41.7 -21◦53.8Mer.pass.:17:05 v-0.1 d1.1 m-4.2 v0.7 d0.8 m0.9 v2.2 d-0.1 m-1.8 v2.2 d-0.0 m0.5

    StarsSHA Dec

    Alpheratz 357◦41.0 29◦11.2Ankaa 353◦13.4 -42◦13.1

    Schedar 349◦37.7 56◦38.0Diphda 348◦53.4 -17◦53.8

    Achernar 335◦25.0 -57◦09.4Hamal 327◦57.9 23◦32.5Polaris 316◦23.9 89◦20.3Akamar 315◦16.3 -40◦14.6Menkar 314◦12.3 4◦09.2Mirfak 308◦36.5 49◦55.3

    Aldebaran 290◦46.3 16◦32.4Rigel 281◦09.4 -8◦11.2

    Capella 280◦30.4 46◦00.8Bellatrix 278◦29.1 6◦21.7Elnath 278◦09.2 28◦37.1Alnilam 275◦43.6 -1◦11.7

    Betelgeuse 270◦58.4 7◦24.4Canopus 263◦54.5 -52◦42.5

    Sirius 258◦31.2 -16◦44.4Adara 255◦10.2 -28◦59.9

    Procyon 244◦56.8 5◦10.8Pollux 243◦24.4 27◦58.9Avior 234◦16.4 -59◦33.9Suhail 222◦50.2 -43◦30.1

    Miaplacidus 221◦38.3 -69◦47.1Alphard 217◦53.5 -8◦44.0Regulus 207◦40.7 11◦52.9Dubhe 193◦48.6 61◦39.3

    Denebola 182◦31.1 14◦28.6Gienah 175◦49.7 -17◦38.0Acrux 173◦06.4 -63◦11.2

    Gacrux 171◦58.1 -57◦12.2Alioth 166◦18.8 55◦51.8Spica 158◦28.8 -11◦14.8Alcaid 152◦57.2 49◦13.6Hadar 148◦44.6 -60◦26.9

    Menkent 148◦04.9 -36◦26.9Arcturus 145◦53.6 19◦05.9

    Rigil Kent. 139◦48.7 -60◦53.9Zubenelg. 137◦02.9 -16◦06.5Kochab 137◦20.9 74◦05.0

    Alphecca 126◦09.3 26◦39.5Antares 112◦23.6 -26◦27.9

    Atria 107◦23.7 -69◦03.1Sabik 102◦10.1 -15◦44.5

    Shaula 96◦19.1 -37◦06.7Rasalhague 96◦04.6 12◦33.1

    Etamin 90◦45.6 51◦29.3Kaus Aust. 83◦41.0 -34◦22.4

    Vega 80◦37.8 38◦48.1Nunki 75◦55.7 -26◦16.3Altair 62◦06.3 8◦54.9

    Peacock 53◦16.1 -56◦40.8Deneb 49◦30.2 45◦20.7

    Enif 33◦45.0 9◦57.3Alnair 27◦41.1 -46◦52.8

    Fomalhaut 15◦21.6 -29◦32.1Scheat 13◦51.2 28◦10.6Markab 13◦36.1 15◦17.9

    2017/1/1 SHA Mer.passVenus 29◦48.3 15:18Mars 18◦34.6 16:02

    Jupiter 159◦58.6 06:36Saturn 99◦18.1 10:38

    2017/1/2 SHA Mer.passVenus 28◦47.1 15:18Mars 17◦52.6 16:00

    Jupiter 159◦52.7 06:32Saturn 99◦10.8 10:34

    2017/1/3 SHA Mer.passVenus 27◦46.4 15:18Mars 17◦10.6 15:59

    Jupiter 159◦46.9 06:29Saturn 99◦03.5 10:31

    Horizontal paralaxVenus: 0.2Mars: 0.1

    2

    2017 January 01 to Jan. 03

    h Sun MoonSun GHA Dec GHA ν Dec d HP0 179◦08.4 -22◦59.9 147◦06.1 11.1 -15◦20.2 6.2 56.01 194◦08.1 -22◦59.7 161◦36.2 11.1 -15◦13.9 6.3 56.12 209◦07.8 -22◦59.5 176◦06.3 11.1 -15◦07.6 6.4 56.13 224◦07.5 -22◦59.3 190◦36.4 11.1 -15◦01.2 6.5 56.14 239◦07.2 -22◦59.1 205◦06.5 11.1 -14◦54.7 6.5 56.15 254◦06.9 -22◦58.9 219◦36.6 11.1 -14◦48.1 6.6 56.16 269◦06.6 -22◦58.7 234◦06.8 11.2 -14◦41.4 6.7 56.27 284◦06.3 -22◦58.5 248◦36.9 11.2 -14◦34.7 6.8 56.28 299◦06.0 -22◦58.3 263◦07.1 11.2 -14◦27.9 6.9 56.29 314◦05.7 -22◦58.1 277◦37.3 11.2 -14◦21.0 6.9 56.210 329◦05.4 -22◦57.8 292◦07.5 11.2 -14◦14.0 7.0 56.211 344◦05.1 -22◦57.6 306◦37.7 11.2 -14◦07.0 7.1 56.312 359◦04.8 -22◦57.4 321◦07.9 11.2 -13◦59.9 7.2 56.313 14◦04.5 -22◦57.2 335◦38.1 11.2 -13◦52.7 7.2 56.314 29◦04.2 -22◦57.0 350◦08.4 11.2 -13◦45.4 7.3 56.315 44◦04.0 -22◦56.8 4◦38.6 11.3 -13◦38.0 7.4 56.316 59◦03.7 -22◦56.6 19◦08.9 11.3 -13◦30.6 7.5 56.417 74◦03.4 -22◦56.3 33◦39.2 11.3 -13◦23.1 7.5 56.418 89◦03.1 -22◦56.1 48◦09.5 11.3 -13◦15.6 7.6 56.419 104◦02.8 -22◦55.9 62◦39.8 11.3 -13◦07.9 7.7 56.420 119◦02.5 -22◦55.7 77◦10.1 11.3 -13◦00.2 7.7 56.421 134◦02.2 -22◦55.5 91◦40.4 11.3 -12◦52.4 7.8 56.522 149◦01.9 -22◦55.2 106◦10.8 11.3 -12◦44.6 7.9 56.523 164◦01.6 -22◦55.0 120◦41.1 11.4 -12◦36.7 8.0 56.5

    SD.=16.3 d=0.2 S.D.=15.3

    Mon GHA Dec GHA ν Dec d HP0 179◦01.3 -22◦54.8 135◦11.5 11.4 -12◦28.7 8.0 56.51 194◦01.0 -22◦54.6 149◦41.9 11.4 -12◦20.6 8.1 56.62 209◦00.7 -22◦54.3 164◦12.3 11.4 -12◦12.5 8.2 56.63 224◦00.4 -22◦54.1 178◦42.7 11.4 -12◦04.3 8.2 56.64 239◦00.1 -22◦53.9 193◦13.1 11.4 -11◦56.1 8.3 56.65 253◦59.9 -22◦53.6 207◦43.5 11.4 -11◦47.7 8.4 56.66 268◦59.6 -22◦53.4 222◦13.9 11.4 -11◦39.4 8.4 56.77 283◦59.3 -22◦53.2 236◦44.4 11.4 -11◦30.9 8.5 56.78 298◦59.0 -22◦53.0 251◦14.8 11.5 -11◦22.4 8.5 56.79 313◦58.7 -22◦52.7 265◦45.3 11.5 -11◦13.8 8.6 56.710 328◦58.4 -22◦52.5 280◦15.7 11.5 -11◦05.2 8.7 56.811 343◦58.1 -22◦52.3 294◦46.2 11.5 -10◦56.5 8.7 56.812 358◦57.8 -22◦52.0 309◦16.7 11.5 -10◦47.7 8.8 56.813 13◦57.5 -22◦51.8 323◦47.2 11.5 -10◦38.9 8.9 56.814 28◦57.2 -22◦51.6 338◦17.7 11.5 -10◦30.0 8.9 56.815 43◦56.9 -22◦51.3 352◦48.2 11.5 -10◦21.0 9.0 56.916 58◦56.7 -22◦51.1 7◦18.7 11.5 -10◦12.0 9.0 56.917 73◦56.4 -22◦50.9 21◦49.3 11.5 -10◦03.0 9.1 56.918 88◦56.1 -22◦50.6 36◦19.8 11.5 -9◦53.9 9.1 56.919 103◦55.8 -22◦50.4 50◦50.4 11.5 -9◦44.7 9.2 57.020 118◦55.5 -22◦50.1 65◦20.9 11.6 -9◦35.4 9.3 57.021 133◦55.2 -22◦49.9 79◦51.5 11.6 -9◦26.2 9.3 57.022 148◦54.9 -22◦49.7 94◦22.0 11.6 -9◦16.8 9.4 57.023 163◦54.6 -22◦49.4 108◦52.6 11.6 -9◦07.4 9.4 57.0

    SD.=16.3 d=0.2 S.D.=15.4

    Tue GHA Dec GHA ν Dec d HP0 178◦54.3 -22◦49.2 123◦23.2 11.6 -8◦58.0 9.5 57.11 193◦54.1 -22◦48.9 137◦53.7 11.6 -8◦48.5 9.5 57.12 208◦53.8 -22◦48.7 152◦24.3 11.6 -8◦38.9 9.6 57.13 223◦53.5 -22◦48.4 166◦54.9 11.6 -8◦29.3 9.6 57.14 238◦53.2 -22◦48.2 181◦25.5 11.6 -8◦19.7 9.7 57.25 253◦52.9 -22◦47.9 195◦56.1 11.6 -8◦10.0 9.7 57.26 268◦52.6 -22◦47.7 210◦26.7 11.6 -8◦00.2 9.8 57.27 283◦52.3 -22◦47.4 224◦57.3 11.6 -7◦50.4 9.8 57.28 298◦52.0 -22◦47.2 239◦27.9 11.6 -7◦40.6 9.9 57.29 313◦51.8 -22◦46.9 253◦58.5 11.6 -7◦30.7 9.9 57.310 328◦51.5 -22◦46.7 268◦29.1 11.6 -7◦20.8 10.0 57.311 343◦51.2 -22◦46.4 282◦59.7 11.6 -7◦10.8 10.0 57.312 358◦50.9 -22◦46.2 297◦30.3 11.6 -7◦00.8 10.0 57.313 13◦50.6 -22◦45.9 312◦00.9 11.6 -6◦50.7 10.1 57.414 28◦50.3 -22◦45.7 326◦31.5 11.6 -6◦40.6 10.1 57.415 43◦50.0 -22◦45.4 341◦02.1 11.6 -6◦30.4 10.2 57.416 58◦49.8 -22◦45.2 355◦32.7 11.6 -6◦20.2 10.2 57.417 73◦49.5 -22◦44.9 10◦03.3 11.6 -6◦10.0 10.3 57.518 88◦49.2 -22◦44.7 24◦33.9 11.6 -5◦59.7 10.3 57.519 103◦48.9 -22◦44.4 39◦04.4 11.6 -5◦49.4 10.3 57.520 118◦48.6 -22◦44.1 53◦35.0 11.6 -5◦39.1 10.4 57.521 133◦48.3 -22◦43.9 68◦05.6 11.6 -5◦28.7 10.4 57.622 148◦48.0 -22◦43.6 82◦36.2 11.6 -5◦18.3 10.4 57.623 163◦47.8 -22◦43.4 97◦06.7 11.6 -5◦07.8 10.5 57.6

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

    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 20:27 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. Sun Mon Tue Sun Mon Tue72 11:58 11:49 11:41 17:38 19:29 21:1970 11:30 11:31 11:31 18:04 19:45 21:2768 11:09 11:17 11:22 18:25 19:58 21:3366 10:52 11:05 11:15 18:40 20:09 21:3964 10:39 10:55 11:09 18:53 20:17 21:4462 10:27 10:47 11:04 19:04 20:25 21:4860 10:17 10:40 10:59 19:14 20:31 21:5158 10:08 10:34 10:55 19:22 20:37 21:5456 10:01 10:28 10:52 19:29 20:42 21:5754 09:54 10:23 10:49 19:35 20:46 21:5952 09:48 10:18 10:46 19:41 20:50 22:0250 09:42 10:14 10:43 19:46 20:54 22:0445 09:30 10:05 10:37 19:57 21:02 22:0840 09:20 09:57 10:32 20:06 21:08 22:1235 09:12 09:51 10:28 20:14 21:14 22:1530 09:04 09:45 10:24 20:21 21:19 22:1720 08:51 09:35 10:18 20:33 21:27 22:2210 08:40 09:26 10:12 20:43 21:35 22:260 08:29 09:18 10:07 20:53 21:41 22:30-10 08:18 09:10 10:01 21:02 21:48 22:34-20 08:07 09:01 09:56 21:12 21:56 22:38-30 07:54 08:51 09:49 21:24 22:04 22:42-35 07:46 08:45 09:45 21:30 22:08 22:45-40 07:37 08:38 09:41 21:38 22:14 22:48-45 07:27 08:31 09:36 21:47 22:20 22:51-50 07:15 08:21 09:30 21:57 22:27 22:55-52 07:09 08:17 09:27 22:02 22:31 22:57-54 07:03 08:12 09:24 22:07 22:34 22:59-56 06:56 08:07 09:21 22:13 22:38 23:01-58 06:48 08:01 09:17 22:20 22:43 23:04-60 06:38 07:54 09:13 22:27 22:48 23:06

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

    00h 12h Pass Upper Lower1 03:27 03:41 12:03 14:40 02:16 3(10%)2 03:55 04:09 12:04 15:29 03:05 4(17%)3 04:23 04:36 12:04 16:18 03:54 5(26%)

    3

  • January 04, 05 ,06 (Wed., Thu., Fri.)Aries Venus Mars Jupiter Saturn

    Wed GHA GHA Dec GHA Dec GHA Dec GHA Dec0 103◦47.6 130◦33.9 -12◦22.2 120◦16.3 -7◦54.2 263◦28.8 -7◦09.8 202◦43.8 -21◦53.81 118◦50.1 145◦33.9 -12◦21.1 135◦17.0 -7◦53.4 278◦31.1 -7◦09.9 217◦46.0 -21◦53.82 133◦52.5 160◦33.9 -12◦19.9 150◦17.7 -7◦52.7 293◦33.3 -7◦10.0 232◦48.2 -21◦53.83 148◦55.0 175◦33.8 -12◦18.8 165◦18.5 -7◦51.9 308◦35.5 -7◦10.1 247◦50.3 -21◦53.84 163◦57.5 190◦33.8 -12◦17.7 180◦19.2 -7◦51.2 323◦37.8 -7◦10.2 262◦52.5 -21◦53.85 178◦59.9 205◦33.8 -12◦16.6 195◦19.9 -7◦50.4 338◦40.0 -7◦10.2 277◦54.6 -21◦53.96 194◦02.4 220◦33.8 -12◦15.4 210◦20.6 -7◦49.6 353◦42.2 -7◦10.3 292◦56.8 -21◦53.97 209◦04.8 235◦33.7 -12◦14.3 225◦21.3 -7◦48.9 8◦44.5 -7◦10.4 307◦59.0 -21◦53.98 224◦07.3 250◦33.7 -12◦13.2 240◦22.1 -7◦48.1 23◦46.7 -7◦10.5 323◦01.1 -21◦53.99 239◦09.8 265◦33.7 -12◦12.1 255◦22.8 -7◦47.4 38◦48.9 -7◦10.6 338◦03.3 -21◦53.910 254◦12.2 280◦33.7 -12◦11.0 270◦23.5 -7◦46.6 53◦51.2 -7◦10.6 353◦05.5 -21◦53.911 269◦14.7 295◦33.6 -12◦09.8 285◦24.2 -7◦45.8 68◦53.4 -7◦10.7 8◦07.6 -21◦54.012 284◦17.2 310◦33.6 -12◦08.7 300◦24.9 -7◦45.1 83◦55.6 -7◦10.8 23◦09.8 -21◦54.013 299◦19.6 325◦33.6 -12◦07.6 315◦25.7 -7◦44.3 98◦57.9 -7◦10.9 38◦11.9 -21◦54.014 314◦22.1 340◦33.6 -12◦06.4 330◦26.4 -7◦43.6 114◦00.1 -7◦11.0 53◦14.1 -21◦54.015 329◦24.6 355◦33.6 -12◦05.3 345◦27.1 -7◦42.8 129◦02.4 -7◦11.1 68◦16.3 -21◦54.016 344◦27.0 10◦33.6 -12◦04.2 0◦27.8 -7◦42.0 144◦04.6 -7◦11.1 83◦18.4 -21◦54.117 359◦29.5 25◦33.5 -12◦03.1 15◦28.5 -7◦41.3 159◦06.8 -7◦11.2 98◦20.6 -21◦54.118 14◦31.9 40◦33.5 -12◦01.9 30◦29.3 -7◦40.5 174◦09.1 -7◦11.3 113◦22.8 -21◦54.119 29◦34.4 55◦33.5 -12◦00.8 45◦30.0 -7◦39.8 189◦11.3 -7◦11.4 128◦24.9 -21◦54.120 44◦36.9 70◦33.5 -11◦59.7 60◦30.7 -7◦39.0 204◦13.5 -7◦11.5 143◦27.1 -21◦54.121 59◦39.3 85◦33.5 -11◦58.6 75◦31.4 -7◦38.2 219◦15.8 -7◦11.5 158◦29.2 -21◦54.122 74◦41.8 100◦33.5 -11◦57.4 90◦32.2 -7◦37.5 234◦18.0 -7◦11.6 173◦31.4 -21◦54.223 89◦44.3 115◦33.5 -11◦56.3 105◦32.9 -7◦36.7 249◦20.2 -7◦11.7 188◦33.6 -21◦54.2Mer.pass.:17:02 v-0.0 d1.1 m-4.2 v0.7 d0.8 m0.9 v2.2 d-0.1 m-1.8 v2.2 d-0.0 m0.5

    Thu GHA GHA Dec GHA Dec GHA Dec GHA Dec0 104◦46.7 130◦33.5 -11◦55.2 120◦33.6 -7◦36.0 264◦22.5 -7◦11.8 203◦35.7 -21◦54.21 119◦49.2 145◦33.5 -11◦54.0 135◦34.3 -7◦35.2 279◦24.7 -7◦11.9 218◦37.9 -21◦54.22 134◦51.7 160◦33.5 -11◦52.9 150◦35.0 -7◦34.4 294◦27.0 -7◦11.9 233◦40.1 -21◦54.23 149◦54.1 175◦33.5 -11◦51.8 165◦35.8 -7◦33.7 309◦29.2 -7◦12.0 248◦42.2 -21◦54.24 164◦56.6 190◦33.4 -11◦50.6 180◦36.5 -7◦32.9 324◦31.4 -7◦12.1 263◦44.4 -21◦54.35 179◦59.1 205◦33.4 -11◦49.5 195◦37.2 -7◦32.2 339◦33.7 -7◦12.2 278◦46.5 -21◦54.36 195◦01.5 220◦33.4 -11◦48.4 210◦37.9 -7◦31.4 354◦35.9 -7◦12.3 293◦48.7 -21◦54.37 210◦04.0 235◦33.4 -11◦47.2 225◦38.7 -7◦30.6 9◦38.1 -7◦12.3 308◦50.9 -21◦54.38 225◦06.4 250◦33.4 -11◦46.1 240◦39.4 -7◦29.9 24◦40.4 -7◦12.4 323◦53.0 -21◦54.39 240◦08.9 265◦33.4 -11◦45.0 255◦40.1 -7◦29.1 39◦42.6 -7◦12.5 338◦55.2 -21◦54.410 255◦11.4 280◦33.4 -11◦43.8 270◦40.8 -7◦28.3 54◦44.9 -7◦12.6 353◦57.4 -21◦54.411 270◦13.8 295◦33.4 -11◦42.7 285◦41.5 -7◦27.6 69◦47.1 -7◦12.7 8◦59.5 -21◦54.412 285◦16.3 310◦33.5 -11◦41.6 300◦42.3 -7◦26.8 84◦49.3 -7◦12.7 24◦01.7 -21◦54.413 300◦18.8 325◦33.5 -11◦40.4 315◦43.0 -7◦26.1 99◦51.6 -7◦12.8 39◦03.9 -21◦54.414 315◦21.2 340◦33.5 -11◦39.3 330◦43.7 -7◦25.3 114◦53.8 -7◦12.9 54◦06.0 -21◦54.415 330◦23.7 355◦33.5 -11◦38.2 345◦44.4 -7◦24.5 129◦56.1 -7◦13.0 69◦08.2 -21◦54.516 345◦26.2 10◦33.5 -11◦37.0 0◦45.2 -7◦23.8 144◦58.3 -7◦13.0 84◦10.3 -21◦54.517 0◦28.6 25◦33.5 -11◦35.9 15◦45.9 -7◦23.0 160◦00.6 -7◦13.1 99◦12.5 -21◦54.518 15◦31.1 40◦33.5 -11◦34.8 30◦46.6 -7◦22.2 175◦02.8 -7◦13.2 114◦14.7 -21◦54.519 30◦33.6 55◦33.5 -11◦33.6 45◦47.3 -7◦21.5 190◦05.0 -7◦13.3 129◦16.8 -21◦54.520 45◦36.0 70◦33.5 -11◦32.5 60◦48.1 -7◦20.7 205◦07.3 -7◦13.4 144◦19.0 -21◦54.521 60◦38.5 85◦33.5 -11◦31.4 75◦48.8 -7◦20.0 220◦09.5 -7◦13.4 159◦21.2 -21◦54.622 75◦40.9 100◦33.5 -11◦30.2 90◦49.5 -7◦19.2 235◦11.8 -7◦13.5 174◦23.3 -21◦54.623 90◦43.4 115◦33.6 -11◦29.1 105◦50.2 -7◦18.4 250◦14.0 -7◦13.6 189◦25.5 -21◦54.6Mer.pass.:16:58 v-0.0 d1.1 m-4.2 v0.7 d0.8 m0.9 v2.2 d-0.1 m-1.8 v2.2 d-0.0 m0.5

    Fri GHA GHA Dec GHA Dec GHA Dec GHA Dec0 105◦45.9 130◦33.6 -11◦27.9 120◦51.0 -7◦17.7 265◦16.3 -7◦13.7 204◦27.7 -21◦54.61 120◦48.3 145◦33.6 -11◦26.8 135◦51.7 -7◦16.9 280◦18.5 -7◦13.7 219◦29.8 -21◦54.62 135◦50.8 160◦33.6 -11◦25.7 150◦52.4 -7◦16.1 295◦20.7 -7◦13.8 234◦32.0 -21◦54.63 150◦53.3 175◦33.6 -11◦24.5 165◦53.1 -7◦15.4 310◦23.0 -7◦13.9 249◦34.2 -21◦54.74 165◦55.7 190◦33.6 -11◦23.4 180◦53.9 -7◦14.6 325◦25.2 -7◦14.0 264◦36.3 -21◦54.75 180◦58.2 205◦33.7 -11◦22.2 195◦54.6 -7◦13.8 340◦27.5 -7◦14.1 279◦38.5 -21◦54.76 196◦00.7 220◦33.7 -11◦21.1 210◦55.3 -7◦13.1 355◦29.7 -7◦14.1 294◦40.6 -21◦54.77 211◦03.1 235◦33.7 -11◦20.0 225◦56.0 -7◦12.3 10◦32.0 -7◦14.2 309◦42.8 -21◦54.78 226◦05.6 250◦33.7 -11◦18.8 240◦56.8 -7◦11.6 25◦34.2 -7◦14.3 324◦45.0 -21◦54.89 241◦08.0 265◦33.7 -11◦17.7 255◦57.5 -7◦10.8 40◦36.5 -7◦14.4 339◦47.1 -21◦54.810 256◦10.5 280◦33.8 -11◦16.5 270◦58.2 -7◦10.0 55◦38.7 -7◦14.4 354◦49.3 -21◦54.811 271◦13.0 295◦33.8 -11◦15.4 285◦58.9 -7◦09.3 70◦41.0 -7◦14.5 9◦51.5 -21◦54.812 286◦15.4 310◦33.8 -11◦14.3 300◦59.7 -7◦08.5 85◦43.2 -7◦14.6 24◦53.6 -21◦54.813 301◦17.9 325◦33.8 -11◦13.1 316◦00.4 -7◦07.7 100◦45.4 -7◦14.7 39◦55.8 -21◦54.814 316◦20.4 340◦33.9 -11◦12.0 331◦01.1 -7◦07.0 115◦47.7 -7◦14.7 54◦58.0 -21◦54.915 331◦22.8 355◦33.9 -11◦10.8 346◦01.8 -7◦06.2 130◦49.9 -7◦14.8 70◦00.1 -21◦54.916 346◦25.3 10◦33.9 -11◦09.7 1◦02.6 -7◦05.4 145◦52.2 -7◦14.9 85◦02.3 -21◦54.917 1◦27.8 25◦34.0 -11◦08.5 16◦03.3 -7◦04.7 160◦54.4 -7◦15.0 100◦04.5 -21◦54.918 16◦30.2 40◦34.0 -11◦07.4 31◦04.0 -7◦03.9 175◦56.7 -7◦15.0 115◦06.6 -21◦54.919 31◦32.7 55◦34.0 -11◦06.2 46◦04.8 -7◦03.1 190◦58.9 -7◦15.1 130◦08.8 -21◦54.920 46◦35.2 70◦34.1 -11◦05.1 61◦05.5 -7◦02.4 206◦01.2 -7◦15.2 145◦11.0 -21◦55.021 61◦37.6 85◦34.1 -11◦04.0 76◦06.2 -7◦01.6 221◦03.4 -7◦15.3 160◦13.1 -21◦55.022 76◦40.1 100◦34.1 -11◦02.8 91◦06.9 -7◦00.9 236◦05.7 -7◦15.3 175◦15.3 -21◦55.023 91◦42.5 115◦34.2 -11◦01.7 106◦07.7 -7◦00.1 251◦07.9 -7◦15.4 190◦17.5 -21◦55.0Mer.pass.:16:54 v0.0 d1.1 m-4.2 v0.7 d0.8 m0.9 v2.2 d-0.1 m-1.8 v2.2 d-0.0 m0.5

    StarsSHA Dec

    Alpheratz 357◦41.1 29◦11.2Ankaa 353◦13.4 -42◦13.1

    Schedar 349◦37.7 56◦38.0Diphda 348◦53.4 -17◦53.8

    Achernar 335◦25.0 -57◦09.4Hamal 327◦57.9 23◦32.5Polaris 316◦25.1 89◦20.3Akamar 315◦16.3 -40◦14.6Menkar 314◦12.3 4◦09.2Mirfak 308◦36.5 49◦55.3

    Aldebaran 290◦46.3 16◦32.4Rigel 281◦09.4 -8◦11.2

    Capella 280◦30.5 46◦00.8Bellatrix 278◦29.1 6◦21.7Elnath 278◦09.2 28◦37.1Alnilam 275◦43.6 -1◦11.7

    Betelgeuse 270◦58.4 7◦24.4Canopus 263◦54.5 -52◦42.5

    Sirius 258◦31.2 -16◦44.4Adara 255◦10.2 -28◦59.9

    Procyon 244◦56.8 5◦10.8Pollux 243◦24.3 27◦58.9Avior 234◦16.4 -59◦33.9Suhail 222◦50.2 -43◦30.1

    Miaplacidus 221◦38.2 -69◦47.1Alphard 217◦53.4 -8◦44.0Regulus 207◦40.7 11◦52.9Dubhe 193◦48.6 61◦39.3

    Denebola 182◦31.1 14◦28.5Gienah 175◦49.7 -17◦38.1Acrux 173◦06.4 -63◦11.2

    Gacrux 171◦58.0 -57◦12.2Alioth 166◦18.7 55◦51.8Spica 158◦28.7 -11◦14.8Alcaid 152◦57.2 49◦13.6Hadar 148◦44.5 -60◦26.9

    Menkent 148◦04.8 -36◦26.9Arcturus 145◦53.5 19◦05.9

    Rigil Kent. 139◦48.6 -60◦53.9Zubenelg. 137◦02.9 -16◦06.5Kochab 137◦20.9 74◦05.0

    Alphecca 126◦09.3 26◦39.5Antares 112◦23.6 -26◦27.9

    Atria 107◦23.7 -69◦03.1Sabik 102◦10.1 -15◦44.5

    Shaula 96◦19.0 -37◦06.7Rasalhague 96◦04.6 12◦33.1

    Etamin 90◦45.5 51◦29.3Kaus Aust. 83◦41.0 -34◦22.4

    Vega 80◦37.8 38◦48.1Nunki 75◦55.7 -26◦16.3Altair 62◦06.3 8◦54.9

    Peacock 53◦16.1 -56◦40.8Deneb 49◦30.2 45◦20.7

    Enif 33◦45.0 9◦57.3Alnair 27◦41.1 -46◦52.8

    Fomalhaut 15◦21.6 -29◦32.1Scheat 13◦51.2 28◦10.6Markab 13◦36.1 15◦17.9

    2017/1/4 SHA Mer.passVenus 26◦46.3 15:18Mars 16◦28.7 15:58

    Jupiter 159◦41.3 06:25Saturn 98◦56.2 10:28

    2017/1/5 SHA Mer.passVenus 25◦46.7 15:18Mars 15◦46.9 15:57

    Jupiter 159◦35.7 06:22Saturn 98◦49.0 10:24

    2017/1/6 SHA Mer.passVenus 24◦47.7 15:18Mars 15◦05.1 15:56

    Jupiter 159◦30.4 06:18Saturn 98◦41.8 10:21

    Horizontal paralaxVenus: 0.2Mars: 0.1

    4

    2017 January 04 to Jan. 06

    h Sun MoonWed GHA Dec GHA ν Dec d HP0 178◦47.5 -22◦43.1 111◦37.3 11.5 -4◦57.4 10.5 57.61 193◦47.2 -22◦42.8 126◦07.8 11.5 -4◦46.8 10.5 57.72 208◦46.9 -22◦42.6 140◦38.4 11.5 -4◦36.3 10.6 57.73 223◦46.6 -22◦42.3 155◦08.9 11.5 -4◦25.7 10.6 57.74 238◦46.3 -22◦42.0 169◦39.4 11.5 -4◦15.1 10.6 57.75 253◦46.1 -22◦41.8 184◦09.9 11.5 -4◦04.4 10.7 57.76 268◦45.8 -22◦41.5 198◦40.4 11.5 -3◦53.7 10.7 57.87 283◦45.5 -22◦41.2 213◦10.9 11.5 -3◦43.0 10.7 57.88 298◦45.2 -22◦41.0 227◦41.4 11.5 -3◦32.3 10.7 57.89 313◦44.9 -22◦40.7 242◦11.8 11.5 -3◦21.6 10.8 57.810 328◦44.6 -22◦40.4 256◦42.3 11.4 -3◦10.8 10.8 57.911 343◦44.4 -22◦40.2 271◦12.7 11.4 -2◦60.0 10.8 57.912 358◦44.1 -22◦39.9 285◦43.1 11.4 -2◦49.1 10.8 57.913 13◦43.8 -22◦39.6 300◦13.5 11.4 -2◦38.3 10.9 57.914 28◦43.5 -22◦39.4 314◦43.9 11.4 -2◦27.4 10.9 58.015 43◦43.2 -22◦39.1 329◦14.3 11.4 -2◦16.5 10.9 58.016 58◦43.0 -22◦38.8 343◦44.6 11.3 -2◦05.6 10.9 58.017 73◦42.7 -22◦38.5 358◦14.9 11.3 -1◦54.6 11.0 58.018 88◦42.4 -22◦38.3 12◦45.3 11.3 -1◦43.7 11.0 58.119 103◦42.1 -22◦38.0 27◦15.5 11.3 -1◦32.7 11.0 58.120 118◦41.8 -22◦37.7 41◦45.8 11.3 -1◦21.7 11.0 58.121 133◦41.6 -22◦37.4 56◦16.1 11.2 -1◦10.7 11.0 58.122 148◦41.3 -22◦37.1 70◦46.3 11.2 -0◦59.7 11.0 58.223 163◦41.0 -22◦36.9 85◦16.5 11.2 -0◦48.6 11.0 58.2

    SD.=16.3 d=0.3 S.D.=15.7

    Thu GHA Dec GHA ν Dec d HP0 178◦40.7 -22◦36.6 99◦46.7 11.2 -0◦37.6 11.1 58.21 193◦40.4 -22◦36.3 114◦16.8 11.1 -0◦26.5 11.1 58.22 208◦40.2 -22◦36.0 128◦47.0 11.1 -0◦15.4 11.1 58.33 223◦39.9 -22◦35.7 143◦17.1 11.1 -0◦04.3 11.1 58.34 238◦39.6 -22◦35.4 157◦47.2 11.1 0◦06.8 11.1 58.35 253◦39.3 -22◦35.2 172◦17.2 11.0 0◦17.9 11.1 58.36 268◦39.0 -22◦34.9 186◦47.2 11.0 0◦29.0 11.1 58.47 283◦38.8 -22◦34.6 201◦17.2 11.0 0◦40.1 11.1 58.48 298◦38.5 -22◦34.3 215◦47.2 11.0 0◦51.2 11.1 58.49 313◦38.2 -22◦34.0 230◦17.2 10.9 1◦02.4 11.1 58.410 328◦37.9 -22◦33.7 244◦47.1 10.9 1◦13.5 11.1 58.511 343◦37.7 -22◦33.4 259◦16.9 10.9 1◦24.6 11.1 58.512 358◦37.4 -22◦33.2 273◦46.8 10.8 1◦35.8 11.1 58.513 13◦37.1 -22◦32.9 288◦16.6 10.8 1◦46.9 11.1 58.514 28◦36.8 -22◦32.6 302◦46.4 10.8 1◦58.0 11.1 58.615 43◦36.5 -22◦32.3 317◦16.1 10.7 2◦09.2 11.1 58.616 58◦36.3 -22◦32.0 331◦45.8 10.7 2◦20.3 11.1 58.617 73◦36.0 -22◦31.7 346◦15.5 10.7 2◦31.4 11.1 58.618 88◦35.7 -22◦31.4 0◦45.1 10.6 2◦42.6 11.1 58.719 103◦35.4 -22◦31.1 15◦14.7 10.6 2◦53.7 11.1 58.720 118◦35.2 -22◦30.8 29◦44.3 10.5 3◦04.8 11.1 58.721 133◦34.9 -22◦30.5 44◦13.8 10.5 3◦15.9 11.1 58.722 148◦34.6 -22◦30.2 58◦43.3 10.5 3◦27.0 11.1 58.823 163◦34.3 -22◦29.9 73◦12.8 10.4 3◦38.1 11.1 58.8

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

    Fri GHA Dec GHA ν Dec d HP0 178◦34.1 -22◦29.6 87◦42.2 10.4 3◦49.2 11.1 58.81 193◦33.8 -22◦29.3 102◦11.5 10.3 4◦00.2 11.1 58.82 208◦33.5 -22◦29.0 116◦40.8 10.3 4◦11.3 11.0 58.83 223◦33.2 -22◦28.7 131◦10.1 10.3 4◦22.3 11.0 58.94 238◦33.0 -22◦28.4 145◦39.3 10.2 4◦33.3 11.0 58.95 253◦32.7 -22◦28.1 160◦08.5 10.2 4◦44.3 11.0 58.96 268◦32.4 -22◦27.8 174◦37.7 10.1 4◦55.3 11.0 58.97 283◦32.1 -22◦27.5 189◦06.8 10.1 5◦06.3 11.0 59.08 298◦31.9 -22◦27.2 203◦35.8 10.0 5◦17.2 10.9 59.09 313◦31.6 -22◦26.9 218◦04.8 10.0 5◦28.2 10.9 59.010 328◦31.3 -22◦26.6 232◦33.8 9.9 5◦39.1 10.9 59.011 343◦31.1 -22◦26.3 247◦02.7 9.9 5◦50.0 10.9 59.112 358◦30.8 -22◦26.0 261◦31.5 9.8 6◦00.8 10.8 59.113 13◦30.5 -22◦25.7 276◦00.3 9.8 6◦11.7 10.8 59.114 28◦30.2 -22◦25.3 290◦29.1 9.7 6◦22.5 10.8 59.115 43◦30.0 -22◦25.0 304◦57.8 9.7 6◦33.2 10.8 59.216 58◦29.7 -22◦24.7 319◦26.5 9.6 6◦44.0 10.7 59.217 73◦29.4 -22◦24.4 333◦55.1 9.6 6◦54.7 10.7 59.218 88◦29.2 -22◦24.1 348◦23.6 9.5 7◦05.4 10.7 59.219 103◦28.9 -22◦23.8 2◦52.1 9.5 7◦16.1 10.6 59.220 118◦28.6 -22◦23.5 17◦20.6 9.4 7◦26.7 10.6 59.321 133◦28.3 -22◦23.2 31◦49.0 9.4 7◦37.3 10.6 59.322 148◦28.1 -22◦22.8 46◦17.3 9.3 7◦47.8 10.5 59.323 163◦27.8 -22◦22.5 60◦45.6 9.3 7◦58.3 10.5 59.3

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

    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 07:09 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. Wed Thu Fri Wed Thu Fri72 11:34 11:27 11:20 23:08 –:– 00:5970 11:30 11:29 11:28 23:09 –:– 00:5368 11:26 11:30 11:35 23:10 –:– 00:4966 11:24 11:32 11:41 23:11 –:– 00:4564 11:21 11:33 11:45 23:12 –:– 00:4262 11:19 11:34 11:49 23:12 –:– 00:3960 11:17 11:35 11:53 23:13 –:– 00:3758 11:16 11:35 11:56 23:13 –:– 00:3456 11:14 11:36 11:59 23:14 –:– 00:3354 11:13 11:37 12:02 23:14 –:– 00:3152 11:12 11:37 12:04 23:15 –:– 00:2950 11:10 11:38 12:06 23:15 –:– 00:2845 11:08 11:39 12:11 23:16 –:– 00:2540 11:06 11:40 12:15 23:16 –:– 00:2235 11:04 11:41 12:18 23:17 –:– 00:2030 11:03 11:41 12:21 23:17 –:– 00:1820 11:00 11:43 12:27 23:18 –:– 00:1510 10:58 11:44 12:31 23:18 –:– 00:120 10:56 11:45 12:36 23:19 –:– 00:09-10 10:53 11:46 12:40 23:20 –:– 00:06-20 10:51 11:47 12:45 23:20 –:– 00:03-30 10:48 11:49 12:51 23:21 23:60 –:–-35 10:47 11:50 12:54 23:21 23:58 –:–-40 10:45 11:51 12:58 23:21 23:55 –:–-45 10:43 11:52 13:02 23:22 23:53 –:–-50 10:41 11:53 13:07 23:22 23:50 –:–-52 10:40 11:54 13:09 23:23 23:48 –:–-54 10:38 11:54 13:12 23:23 23:47 –:–-56 10:37 11:55 13:15 23:23 23:45 –:–-58 10:36 11:56 13:18 23:23 23:43 –:–-60 10:34 11:57 13:22 23:24 23:41 –:–

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

    00h 12h Pass Upper Lower4 04:50 05:04 12:05 17:07 04:42 6(36%)5 05:17 05:31 12:05 17:56 05:31 7(47%)6 05:44 05:57 12:05 18:48 06:22 8(58%)

    5

  • January 07, 08 ,09 (Sat., Sun., Mon.)Aries Venus Mars Jupiter Saturn

    Sat GHA GHA Dec GHA Dec GHA Dec GHA Dec0 106◦45.0 130◦34.2 -11◦00.5 121◦08.4 -6◦59.3 266◦10.2 -7◦15.5 205◦19.6 -21◦55.01 121◦47.5 145◦34.2 -10◦59.4 136◦09.1 -6◦58.6 281◦12.4 -7◦15.6 220◦21.8 -21◦55.02 136◦49.9 160◦34.3 -10◦58.2 151◦09.8 -6◦57.8 296◦14.7 -7◦15.6 235◦24.0 -21◦55.13 151◦52.4 175◦34.3 -10◦57.1 166◦10.6 -6◦57.0 311◦16.9 -7◦15.7 250◦26.1 -21◦55.14 166◦54.9 190◦34.4 -10◦55.9 181◦11.3 -6◦56.3 326◦19.2 -7◦15.8 265◦28.3 -21◦55.15 181◦57.3 205◦34.4 -10◦54.8 196◦12.0 -6◦55.5 341◦21.4 -7◦15.9 280◦30.5 -21◦55.16 196◦59.8 220◦34.5 -10◦53.6 211◦12.8 -6◦54.7 356◦23.7 -7◦15.9 295◦32.6 -21◦55.17 212◦02.3 235◦34.5 -10◦52.5 226◦13.5 -6◦54.0 11◦25.9 -7◦16.0 310◦34.8 -21◦55.18 227◦04.7 250◦34.5 -10◦51.3 241◦14.2 -6◦53.2 26◦28.2 -7◦16.1 325◦36.9 -21◦55.29 242◦07.2 265◦34.6 -10◦50.2 256◦14.9 -6◦52.4 41◦30.4 -7◦16.2 340◦39.1 -21◦55.210 257◦09.6 280◦34.6 -10◦49.0 271◦15.7 -6◦51.7 56◦32.7 -7◦16.2 355◦41.3 -21◦55.211 272◦12.1 295◦34.7 -10◦47.9 286◦16.4 -6◦50.9 71◦34.9 -7◦16.3 10◦43.4 -21◦55.212 287◦14.6 310◦34.7 -10◦46.7 301◦17.1 -6◦50.1 86◦37.2 -7◦16.4 25◦45.6 -21◦55.213 302◦17.0 325◦34.8 -10◦45.6 316◦17.9 -6◦49.4 101◦39.4 -7◦16.5 40◦47.8 -21◦55.214 317◦19.5 340◦34.8 -10◦44.4 331◦18.6 -6◦48.6 116◦41.7 -7◦16.5 55◦49.9 -21◦55.315 332◦22.0 355◦34.9 -10◦43.3 346◦19.3 -6◦47.8 131◦44.0 -7◦16.6 70◦52.1 -21◦55.316 347◦24.4 10◦34.9 -10◦42.1 1◦20.0 -6◦47.1 146◦46.2 -7◦16.7 85◦54.3 -21◦55.317 2◦26.9 25◦35.0 -10◦41.0 16◦20.8 -6◦46.3 161◦48.5 -7◦16.8 100◦56.4 -21◦55.318 17◦29.4 40◦35.0 -10◦39.8 31◦21.5 -6◦45.5 176◦50.7 -7◦16.8 115◦58.6 -21◦55.319 32◦31.8 55◦35.1 -10◦38.7 46◦22.2 -6◦44.8 191◦53.0 -7◦16.9 131◦00.8 -21◦55.320 47◦34.3 70◦35.2 -10◦37.5 61◦23.0 -6◦44.0 206◦55.2 -7◦17.0 146◦02.9 -21◦55.421 62◦36.8 85◦35.2 -10◦36.4 76◦23.7 -6◦43.2 221◦57.5 -7◦17.1 161◦05.1 -21◦55.422 77◦39.2 100◦35.3 -10◦35.2 91◦24.4 -6◦42.5 236◦59.7 -7◦17.1 176◦07.3 -21◦55.423 92◦41.7 115◦35.3 -10◦34.1 106◦25.1 -6◦41.7 252◦02.0 -7◦17.2 191◦09.4 -21◦55.4Mer.pass.:16:50 v0.0 d1.1 m-4.2 v0.7 d0.8 m0.9 v2.2 d-0.1 m-1.8 v2.2 d-0.0 m0.5

    Sun GHA GHA Dec GHA Dec GHA Dec GHA Dec0 107◦44.1 130◦35.4 -10◦32.9 121◦25.9 -6◦40.9 267◦04.2 -7◦17.3 206◦11.6 -21◦55.41 122◦46.6 145◦35.5 -10◦31.8 136◦26.6 -6◦40.2 282◦06.5 -7◦17.3 221◦13.8 -21◦55.42 137◦49.1 160◦35.5 -10◦30.6 151◦27.3 -6◦39.4 297◦08.8 -7◦17.4 236◦15.9 -21◦55.53 152◦51.5 175◦35.6 -10◦29.5 166◦28.1 -6◦38.6 312◦11.0 -7◦17.5 251◦18.1 -21◦55.54 167◦54.0 190◦35.6 -10◦28.3 181◦28.8 -6◦37.9 327◦13.3 -7◦17.6 266◦20.3 -21◦55.55 182◦56.5 205◦35.7 -10◦27.2 196◦29.5 -6◦37.1 342◦15.5 -7◦17.6 281◦22.5 -21◦55.56 197◦58.9 220◦35.8 -10◦26.0 211◦30.3 -6◦36.3 357◦17.8 -7◦17.7 296◦24.6 -21◦55.57 213◦01.4 235◦35.8 -10◦24.8 226◦31.0 -6◦35.6 12◦20.0 -7◦17.8 311◦26.8 -21◦55.58 228◦03.9 250◦35.9 -10◦23.7 241◦31.7 -6◦34.8 27◦22.3 -7◦17.8 326◦29.0 -21◦55.69 243◦06.3 265◦36.0 -10◦22.5 256◦32.5 -6◦34.0 42◦24.6 -7◦17.9 341◦31.1 -21◦55.610 258◦08.8 280◦36.1 -10◦21.4 271◦33.2 -6◦33.3 57◦26.8 -7◦18.0 356◦33.3 -21◦55.611 273◦11.3 295◦36.1 -10◦20.2 286◦33.9 -6◦32.5 72◦29.1 -7◦18.1 11◦35.5 -21◦55.612 288◦13.7 310◦36.2 -10◦19.1 301◦34.6 -6◦31.7 87◦31.3 -7◦18.1 26◦37.6 -21◦55.613 303◦16.2 325◦36.3 -10◦17.9 316◦35.4 -6◦31.0 102◦33.6 -7◦18.2 41◦39.8 -21◦55.614 318◦18.6 340◦36.3 -10◦16.7 331◦36.1 -6◦30.2 117◦35.9 -7◦18.3 56◦42.0 -21◦55.715 333◦21.1 355◦36.4 -10◦15.6 346◦36.8 -6◦29.4 132◦38.1 -7◦18.3 71◦44.1 -21◦55.716 348◦23.6 10◦36.5 -10◦14.4 1◦37.6 -6◦28.6 147◦40.4 -7◦18.4 86◦46.3 -21◦55.717 3◦26.0 25◦36.6 -10◦13.3 16◦38.3 -6◦27.9 162◦42.6 -7◦18.5 101◦48.5 -21◦55.718 18◦28.5 40◦36.6 -10◦12.1 31◦39.0 -6◦27.1 177◦44.9 -7◦18.6 116◦50.6 -21◦55.719 33◦31.0 55◦36.7 -10◦11.0 46◦39.8 -6◦26.3 192◦47.2 -7◦18.6 131◦52.8 -21◦55.720 48◦33.4 70◦36.8 -10◦09.8 61◦40.5 -6◦25.6 207◦49.4 -7◦18.7 146◦55.0 -21◦55.821 63◦35.9 85◦36.9 -10◦08.6 76◦41.2 -6◦24.8 222◦51.7 -7◦18.8 161◦57.1 -21◦55.822 78◦38.4 100◦37.0 -10◦07.5 91◦42.0 -6◦24.0 237◦53.9 -7◦18.8 176◦59.3 -21◦55.823 93◦40.8 115◦37.1 -10◦06.3 106◦42.7 -6◦23.3 252◦56.2 -7◦18.9 192◦01.5 -21◦55.8Mer.pass.:16:46 v0.1 d1.2 m-4.2 v0.7 d0.8 m0.9 v2.3 d-0.1 m-1.8 v2.2 d-0.0 m0.5

    Mon GHA GHA Dec GHA Dec GHA Dec GHA Dec0 108◦43.3 130◦37.1 -10◦05.2 121◦43.4 -6◦22.5 267◦58.5 -7◦19.0 207◦03.6 -21◦55.81 123◦45.8 145◦37.2 -10◦04.0 136◦44.2 -6◦21.7 283◦00.7 -7◦19.0 222◦05.8 -21◦55.82 138◦48.2 160◦37.3 -10◦02.8 151◦44.9 -6◦21.0 298◦03.0 -7◦19.1 237◦08.0 -21◦55.83 153◦50.7 175◦37.4 -10◦01.7 166◦45.6 -6◦20.2 313◦05.3 -7◦19.2 252◦10.1 -21◦55.94 168◦53.1 190◦37.5 -10◦00.5 181◦46.4 -6◦19.4 328◦07.5 -7◦19.3 267◦12.3 -21◦55.95 183◦55.6 205◦37.6 -9◦59.4 196◦47.1 -6◦18.7 343◦09.8 -7◦19.3 282◦14.5 -21◦55.96 198◦58.1 220◦37.7 -9◦58.2 211◦47.8 -6◦17.9 358◦12.0 -7◦19.4 297◦16.7 -21◦55.97 214◦00.5 235◦37.8 -9◦57.0 226◦48.6 -6◦17.1 13◦14.3 -7◦19.5 312◦18.8 -21◦55.98 229◦03.0 250◦37.8 -9◦55.9 241◦49.3 -6◦16.3 28◦16.6 -7◦19.5 327◦21.0 -21◦55.99 244◦05.5 265◦37.9 -9◦54.7 256◦50.0 -6◦15.6 43◦18.8 -7◦19.6 342◦23.2 -21◦56.010 259◦07.9 280◦38.0 -9◦53.5 271◦50.8 -6◦14.8 58◦21.1 -7◦19.7 357◦25.3 -21◦56.011 274◦10.4 295◦38.1 -9◦52.4 286◦51.5 -6◦14.0 73◦23.4 -7◦19.7 12◦27.5 -21◦56.012 289◦12.9 310◦38.2 -9◦51.2 301◦52.2 -6◦13.3 88◦25.6 -7◦19.8 27◦29.7 -21◦56.013 304◦15.3 325◦38.3 -9◦50.1 316◦53.0 -6◦12.5 103◦27.9 -7◦19.9 42◦31.8 -21◦56.014 319◦17.8 340◦38.4 -9◦48.9 331◦53.7 -6◦11.7 118◦30.2 -7◦19.9 57◦34.0 -21◦56.015 334◦20.3 355◦38.5 -9◦47.7 346◦54.4 -6◦11.0 133◦32.4 -7◦20.0 72◦36.2 -21◦56.116 349◦22.7 10◦38.6 -9◦46.6 1◦55.2 -6◦10.2 148◦34.7 -7◦20.1 87◦38.3 -21◦56.117 4◦25.2 25◦38.7 -9◦45.4 16◦55.9 -6◦09.4 163◦37.0 -7◦20.1 102◦40.5 -21◦56.118 19◦27.6 40◦38.8 -9◦44.2 31◦56.6 -6◦08.6 178◦39.2 -7◦20.2 117◦42.7 -21◦56.119 34◦30.1 55◦38.9 -9◦43.1 46◦57.4 -6◦07.9 193◦41.5 -7◦20.3 132◦44.9 -21◦56.120 49◦32.6 70◦39.0 -9◦41.9 61◦58.1 -6◦07.1 208◦43.8 -7◦20.3 147◦47.0 -21◦56.121 64◦35.0 85◦39.1 -9◦40.7 76◦58.8 -6◦06.3 223◦46.0 -7◦20.4 162◦49.2 -21◦56.122 79◦37.5 100◦39.2 -9◦39.6 91◦59.6 -6◦05.6 238◦48.3 -7◦20.5 177◦51.4 -21◦56.223 94◦40.0 115◦39.3 -9◦38.4 107◦00.3 -6◦04.8 253◦50.6 -7◦20.6 192◦53.5 -21◦56.2Mer.pass.:16:42 v0.1 d1.2 m-4.2 v0.7 d0.8 m1.0 v2.3 d-0.1 m-1.8 v2.2 d-0.0 m0.5

    StarsSHA Dec

    Alpheratz 357◦41.1 29◦11.2Ankaa 353◦13.5 -42◦13.1

    Schedar 349◦37.7 56◦38.0Diphda 348◦53.4 -17◦53.8

    Achernar 335◦25.0 -57◦09.4Hamal 327◦57.9 23◦32.5Polaris 316◦26.2 89◦20.3Akamar 315◦16.3 -40◦14.6Menkar 314◦12.4 4◦09.2Mirfak 308◦36.5 49◦55.3

    Aldebaran 290◦46.3 16◦32.4Rigel 281◦09.4 -8◦11.2

    Capella 280◦30.5 46◦00.8Bellatrix 278◦29.1 6◦21.7Elnath 278◦09.2 28◦37.1Alnilam 275◦43.6 -1◦11.7

    Betelgeuse 270◦58.4 7◦24.4Canopus 263◦54.5 -52◦42.6

    Sirius 258◦31.2 -16◦44.4Adara 255◦10.2 -28◦60.0

    Procyon 244◦56.8 5◦10.8Pollux 243◦24.3 27◦58.9Avior 234◦16.3 -59◦33.9Suhail 222◦50.2 -43◦30.1

    Miaplacidus 221◦38.2 -69◦47.2Alphard 217◦53.4 -8◦44.1Regulus 207◦40.7 11◦52.9Dubhe 193◦48.5 61◦39.3

    Denebola 182◦31.0 14◦28.5Gienah 175◦49.7 -17◦38.1Acrux 173◦06.3 -63◦11.3

    Gacrux 171◦58.0 -57◦12.2Alioth 166◦18.7 55◦51.8Spica 158◦28.7 -11◦14.8Alcaid 152◦57.2 49◦13.6Hadar 148◦44.5 -60◦26.9

    Menkent 148◦04.8 -36◦26.9Arcturus 145◦53.5 19◦05.9

    Rigil Kent. 139◦48.6 -60◦53.9Zubenelg. 137◦02.9 -16◦06.5Kochab 137◦20.8 74◦05.0

    Alphecca 126◦09.2 26◦39.5Antares 112◦23.6 -26◦27.9

    Atria 107◦23.7 -69◦03.1Sabik 102◦10.1 -15◦44.5

    Shaula 96◦19.0 -37◦06.7Rasalhague 96◦04.6 12◦33.0

    Etamin 90◦45.5 51◦29.3Kaus Aust. 83◦41.0 -34◦22.3

    Vega 80◦37.8 38◦48.1Nunki 75◦55.7 -26◦16.3Altair 62◦06.3 8◦54.9

    Peacock 53◦16.1 -56◦40.8Deneb 49◦30.2 45◦20.7

    Enif 33◦45.0 9◦57.3Alnair 27◦41.2 -46◦52.8

    Fomalhaut 15◦21.6 -29◦32.1Scheat 13◦51.2 28◦10.6Markab 13◦36.1 15◦17.9

    2017/1/7 SHA Mer.passVenus 23◦49.2 15:18Mars 14◦23.4 15:55

    Jupiter 159◦25.2 06:14Saturn 98◦34.6 10:17

    2017/1/8 SHA Mer.passVenus 22◦51.2 15:18Mars 13◦41.7 15:54

    Jupiter 159◦20.1 06:11Saturn 98◦27.5 10:14

    2017/1/9 SHA Mer.passVenus 21◦53.9 15:17Mars 13◦00.1 15:52

    Jupiter 159◦15.2 06:07Saturn 98◦20.4 10:10

    Horizontal paralaxVenus: 0.2Mars: 0.1

    6

    2017 January 07 to Jan. 09

    h Sun MoonSat GHA Dec GHA ν Dec d HP0 178◦27.5 -22◦22.2 75◦13.8 9.2 8◦08.8 10.5 59.41 193◦27.3 -22◦21.9 89◦41.9 9.1 8◦19.2 10.4 59.42 208◦27.0 -22◦21.6 104◦10.1 9.1 8◦29.6 10.4 59.43 223◦26.7 -22◦21.2 118◦38.1 9.0 8◦40.0 10.3 59.44 238◦26.5 -22◦20.9 133◦06.1 9.0 8◦50.3 10.3 59.45 253◦26.2 -22◦20.6 147◦34.0 8.9 9◦00.6 10.2 59.56 268◦25.9 -22◦20.3 162◦01.9 8.8 9◦10.8 10.2 59.57 283◦25.7 -22◦20.0 176◦29.7 8.8 9◦21.0 10.1 59.58 298◦25.4 -22◦19.6 190◦57.5 8.7 9◦31.1 10.1 59.59 313◦25.1 -22◦19.3 205◦25.2 8.7 9◦41.2 10.0 59.510 328◦24.9 -22◦19.0 219◦52.8 8.6 9◦51.2 10.0 59.611 343◦24.6 -22◦18.7 234◦20.4 8.5 10◦01.2 9.9 59.612 358◦24.3 -22◦18.3 248◦47.9 8.5 10◦11.1 9.9 59.613 13◦24.1 -22◦18.0 263◦15.3 8.4 10◦20.9 9.8 59.614 28◦23.8 -22◦17.7 277◦42.7 8.4 10◦30.7 9.8 59.715 43◦23.5 -22◦17.3 292◦10.1 8.3 10◦40.5 9.7 59.716 58◦23.3 -22◦17.0 306◦37.3 8.2 10◦50.2 9.7 59.717 73◦23.0 -22◦16.7 321◦04.5 8.2 10◦59.8 9.6 59.718 88◦22.7 -22◦16.4 335◦31.7 8.1 11◦09.4 9.5 59.719 103◦22.5 -22◦16.0 349◦58.7 8.0 11◦18.9 9.5 59.720 118◦22.2 -22◦15.7 4◦25.8 8.0 11◦28.4 9.4 59.821 133◦21.9 -22◦15.4 18◦52.7 7.9 11◦37.7 9.3 59.822 148◦21.7 -22◦15.0 33◦19.6 7.9 11◦47.1 9.3 59.823 163◦21.4 -22◦14.7 47◦46.4 7.8 11◦56.3 9.2 59.8

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

    Sun GHA Dec GHA ν Dec d HP0 178◦21.1 -22◦14.4 62◦13.2 7.7 12◦05.5 9.1 59.81 193◦20.9 -22◦14.0 76◦39.9 7.7 12◦14.6 9.1 59.92 208◦20.6 -22◦13.7 91◦06.5 7.6 12◦23.6 9.0 59.93 223◦20.3 -22◦13.3 105◦33.0 7.5 12◦32.6 8.9 59.94 238◦20.1 -22◦13.0 119◦59.5 7.5 12◦41.5 8.9 59.95 253◦19.8 -22◦12.7 134◦26.0 7.4 12◦50.3 8.8 59.96 268◦19.6 -22◦12.3 148◦52.3 7.3 12◦59.0 8.7 59.97 283◦19.3 -22◦12.0 163◦18.6 7.3 13◦07.7 8.6 60.08 298◦19.0 -22◦11.6 177◦44.9 7.2 13◦16.3 8.5 60.09 313◦18.8 -22◦11.3 192◦11.1 7.1 13◦24.8 8.5 60.010 328◦18.5 -22◦11.0 206◦37.2 7.1 13◦33.2 8.4 60.011 343◦18.2 -22◦10.6 221◦03.2 7.0 13◦41.6 8.3 60.012 358◦18.0 -22◦10.3 235◦29.2 7.0 13◦49.8 8.2 60.013 13◦17.7 -22◦09.9 249◦55.1 6.9 13◦58.0 8.1 60.014 28◦17.5 -22◦09.6 264◦21.0 6.8 14◦06.1 8.0 60.115 43◦17.2 -22◦09.2 278◦46.8 6.8 14◦14.1 8.0 60.116 58◦16.9 -22◦08.9 293◦12.5 6.7 14◦22.0 7.9 60.117 73◦16.7 -22◦08.5 307◦38.2 6.6 14◦29.8 7.8 60.118 88◦16.4 -22◦08.2 322◦03.8 6.6 14◦37.5 7.7 60.119 103◦16.2 -22◦07.8 336◦29.4 6.5 14◦45.2 7.6 60.120 118◦15.9 -22◦07.5 350◦54.8 6.5 14◦52.7 7.5 60.121 133◦15.6 -22◦07.1 5◦20.3 6.4 15◦00.1 7.4 60.222 148◦15.4 -22◦06.8 19◦45.6 6.3 15◦07.5 7.3 60.223 163◦15.1 -22◦06.4 34◦10.9 6.3 15◦14.7 7.2 60.2

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

    Mon GHA Dec GHA ν Dec d HP0 178◦14.9 -22◦06.1 48◦36.2 6.2 15◦21.9 7.1 60.21 193◦14.6 -22◦05.7 63◦01.4 6.2 15◦28.9 7.0 60.22 208◦14.4 -22◦05.4 77◦26.5 6.1 15◦35.9 6.9 60.23 223◦14.1 -22◦05.0 91◦51.6 6.0 15◦42.8 6.8 60.24 238◦13.8 -22◦04.6 106◦16.6 6.0 15◦49.5 6.7 60.25 253◦13.6 -22◦04.3 120◦41.5 5.9 15◦56.1 6.6 60.26 268◦13.3 -22◦03.9 135◦06.4 5.9 16◦02.7 6.5 60.37 283◦13.1 -22◦03.6 149◦31.3 5.8 16◦09.1 6.4 60.38 298◦12.8 -22◦03.2 163◦56.1 5.8 16◦15.4 6.3 60.39 313◦12.6 -22◦02.8 178◦20.8 5.7 16◦21.6 6.2 60.310 328◦12.3 -22◦02.5 192◦45.5 5.7 16◦27.8 6.1 60.311 343◦12.0 -22◦02.1 207◦10.1 5.6 16◦33.7 5.9 60.312 358◦11.8 -22◦01.8 221◦34.7 5.6 16◦39.6 5.8 60.313 13◦11.5 -22◦01.4 235◦59.3 5.5 16◦45.4 5.7 60.314 28◦11.3 -22◦01.0 250◦23.7 5.5 16◦51.1 5.6 60.315 43◦11.0 -22◦00.7 264◦48.2 5.4 16◦56.6 5.5 60.316 58◦10.8 -22◦00.3 279◦12.6 5.4 17◦02.0 5.4 60.317 73◦10.5 -21◦59.9 293◦36.9 5.3 17◦07.3 5.3 60.318 88◦10.3 -21◦59.6 308◦01.2 5.3 17◦12.5 5.1 60.319 103◦10.0 -21◦59.2 322◦25.5 5.2 17◦17.6 5.0 60.320 118◦09.8 -21◦58.8 336◦49.7 5.2 17◦22.6 4.9 60.321 133◦09.5 -21◦58.5 351◦13.8 5.1 17◦27.4 4.8 60.322 148◦09.3 -21◦58.1 5◦38.0 5.1 17◦32.1 4.7 60.423 163◦09.0 -21◦57.7 20◦02.1 5.1 17◦36.7 4.5 60.4

    SD.=16.3 d=0.4 S.D.=16.4

    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 08:46 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 06:28 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 05:47 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 19:49 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 20:31 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. Sat Sun Mon Sat Sun Mon72 11:13 11:05 10:52 02:55 04:57 07:1070 11:29 11:30 11:36 02:41 04:33 06:2768 11:41 11:50 12:05 02:30 04:14 05:5866 11:51 12:06 12:27 02:22 03:60 05:3764 11:60 12:19 12:45 02:14 03:48 05:2062 12:07 12:30 12:60 02:08 03:37 05:0660 12:14 12:39 13:12 02:02 03:29 04:5458 12:20 12:48 13:23 01:57 03:21 04:4456 12:25 12:55 13:32 01:53 03:14 04:3554 12:29 13:01 13:41 01:49 03:08 04:2752 12:33 13:07 13:48 01:46 03:03 04:2050 12:37 13:13 13:55 01:43 02:58 04:1345 12:45 13:24 14:09 01:36 02:48 03:6040 12:52 13:34 14:21 01:30 02:39 03:4835 12:58 13:42 14:31 01:25 02:32 03:3930 13:04 13:50 14:40 01:21 02:25 03:3020 13:13 14:02 14:56 01:13 02:14 03:1610 13:21 14:14 15:10 01:07 02:04 03:030 13:29 14:24 15:22 01:01 01:55 02:52-10 13:36 14:35 15:35 00:54 01:46 02:40-20 13:45 14:46 15:49 00:48 01:36 02:27-30 13:54 14:59 16:05 00:41 01:25 02:13-35 13:60 15:07 16:14 00:36 01:18 02:04-40 14:06 15:16 16:25 00:31 01:11 01:55-45 14:13 15:26 16:37 00:26 01:02 01:44-50 14:22 15:38 16:52 00:19 00:52 01:31-52 14:27 15:44 16:60 00:16 00:47 01:24-54 14:31 15:50 17:08 00:13 00:42 01:17-56 14:36 15:58 17:16 00:09 00:37 01:10-58 14:42 16:06 17:27 00:05 00:30 01:01-60 14:48 16:15 17:38 00:00 00:23 00:52

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

    00h 12h Pass Upper Lower7 06:10 06:23 12:06 19:41 07:14 9(69%)8 06:36 06:48 12:06 20:37 08:09 10(79%)9 07:01 07:13 12:07 21:36 09:06 11(88%)

    7

  • January 10, 11 ,12 (Tue., Wed., Thu.)Aries Venus Mars Jupiter Saturn

    Tue GHA GHA Dec GHA Dec GHA Dec GHA Dec0 109◦42.4 130◦39.4 -9◦37.3 122◦01.0 -6◦04.0 268◦52.8 -7◦20.6 207◦55.7 -21◦56.21 124◦44.9 145◦39.5 -9◦36.1 137◦01.8 -6◦03.3 283◦55.1 -7◦20.7 222◦57.9 -21◦56.22 139◦47.4 160◦39.7 -9◦34.9 152◦02.5 -6◦02.5 298◦57.4 -7◦20.8 238◦00.0 -21◦56.23 154◦49.8 175◦39.8 -9◦33.8 167◦03.2 -6◦01.7 313◦59.6 -7◦20.8 253◦02.2 -21◦56.24 169◦52.3 190◦39.9 -9◦32.6 182◦04.0 -6◦00.9 329◦01.9 -7◦20.9 268◦04.4 -21◦56.35 184◦54.7 205◦40.0 -9◦31.4 197◦04.7 -6◦00.2 344◦04.2 -7◦21.0 283◦06.6 -21◦56.36 199◦57.2 220◦40.1 -9◦30.3 212◦05.5 -5◦59.4 359◦06.4 -7◦21.0 298◦08.7 -21◦56.37 214◦59.7 235◦40.2 -9◦29.1 227◦06.2 -5◦58.6 14◦08.7 -7◦21.1 313◦10.9 -21◦56.38 230◦02.1 250◦40.3 -9◦27.9 242◦06.9 -5◦57.9 29◦11.0 -7◦21.2 328◦13.1 -21◦56.39 245◦04.6 265◦40.4 -9◦26.7 257◦07.7 -5◦57.1 44◦13.3 -7◦21.2 343◦15.2 -21◦56.310 260◦07.1 280◦40.6 -9◦25.6 272◦08.4 -5◦56.3 59◦15.5 -7◦21.3 358◦17.4 -21◦56.411 275◦09.5 295◦40.7 -9◦24.4 287◦09.1 -5◦55.5 74◦17.8 -7◦21.4 13◦19.6 -21◦56.412 290◦12.0 310◦40.8 -9◦23.2 302◦09.9 -5◦54.8 89◦20.1 -7◦21.4 28◦21.8 -21◦56.413 305◦14.5 325◦40.9 -9◦22.1 317◦10.6 -5◦54.0 104◦22.3 -7◦21.5 43◦23.9 -21◦56.414 320◦16.9 340◦41.0 -9◦20.9 332◦11.3 -5◦53.2 119◦24.6 -7◦21.5 58◦26.1 -21◦56.415 335◦19.4 355◦41.2 -9◦19.7 347◦12.1 -5◦52.5 134◦26.9 -7◦21.6 73◦28.3 -21◦56.416 350◦21.9 10◦41.3 -9◦18.6 2◦12.8 -5◦51.7 149◦29.2 -7◦21.7 88◦30.4 -21◦56.417 5◦24.3 25◦41.4 -9◦17.4 17◦13.6 -5◦50.9 164◦31.4 -7◦21.7 103◦32.6 -21◦56.518 20◦26.8 40◦41.5 -9◦16.2 32◦14.3 -5◦50.1 179◦33.7 -7◦21.8 118◦34.8 -21◦56.519 35◦29.2 55◦41.7 -9◦15.1 47◦15.0 -5◦49.4 194◦36.0 -7◦21.9 133◦37.0 -21◦56.520 50◦31.7 70◦41.8 -9◦13.9 62◦15.8 -5◦48.6 209◦38.3 -7◦21.9 148◦39.1 -21◦56.521 65◦34.2 85◦41.9 -9◦12.7 77◦16.5 -5◦47.8 224◦40.5 -7◦22.0 163◦41.3 -21◦56.522 80◦36.6 100◦42.0 -9◦11.5 92◦17.2 -5◦47.1 239◦42.8 -7◦22.1 178◦43.5 -21◦56.523 95◦39.1 115◦42.2 -9◦10.4 107◦18.0 -5◦46.3 254◦45.1 -7◦22.1 193◦45.6 -21◦56.6Mer.pass.:16:38 v0.1 d1.2 m-4.2 v0.7 d0.8 m1.0 v2.3 d-0.1 m-1.9 v2.2 d-0.0 m0.5

    Wed GHA GHA Dec GHA Dec GHA Dec GHA Dec0 110◦41.6 130◦42.3 -9◦09.2 122◦18.7 -5◦45.5 269◦47.4 -7◦22.2 208◦47.8 -21◦56.61 125◦44.0 145◦42.4 -9◦08.0 137◦19.5 -5◦44.7 284◦49.6 -7◦22.3 223◦50.0 -21◦56.62 140◦46.5 160◦42.6 -9◦06.9 152◦20.2 -5◦44.0 299◦51.9 -7◦22.3 238◦52.2 -21◦56.63 155◦49.0 175◦42.7 -9◦05.7 167◦20.9 -5◦43.2 314◦54.2 -7◦22.4 253◦54.3 -21◦56.64 170◦51.4 190◦42.8 -9◦04.5 182◦21.7 -5◦42.4 329◦56.5 -7◦22.5 268◦56.5 -21◦56.65 185◦53.9 205◦43.0 -9◦03.3 197◦22.4 -5◦41.7 344◦58.7 -7◦22.5 283◦58.7 -21◦56.66 200◦56.4 220◦43.1 -9◦02.2 212◦23.1 -5◦40.9 0◦01.0 -7◦22.6 299◦00.8 -21◦56.77 215◦58.8 235◦43.2 -9◦01.0 227◦23.9 -5◦40.1 15◦03.3 -7◦22.7 314◦03.0 -21◦56.78 231◦01.3 250◦43.4 -8◦59.8 242◦24.6 -5◦39.3 30◦05.6 -7◦22.7 329◦05.2 -21◦56.79 246◦03.7 265◦43.5 -8◦58.7 257◦25.4 -5◦38.6 45◦07.8 -7◦22.8 344◦07.4 -21◦56.710 261◦06.2 280◦43.7 -8◦57.5 272◦26.1 -5◦37.8 60◦10.1 -7◦22.8 359◦09.5 -21◦56.711 276◦08.7 295◦43.8 -8◦56.3 287◦26.8 -5◦37.0 75◦12.4 -7◦22.9 14◦11.7 -21◦56.712 291◦11.1 310◦44.0 -8◦55.1 302◦27.6 -5◦36.3 90◦14.7 -7◦23.0 29◦13.9 -21◦56.813 306◦13.6 325◦44.1 -8◦54.0 317◦28.3 -5◦35.5 105◦16.9 -7◦23.0 44◦16.0 -21◦56.814 321◦16.1 340◦44.2 -8◦52.8 332◦29.1 -5◦34.7 120◦19.2 -7◦23.1 59◦18.2 -21◦56.815 336◦18.5 355◦44.4 -8◦51.6 347◦29.8 -5◦33.9 135◦21.5 -7◦23.2 74◦20.4 -21◦56.816 351◦21.0 10◦44.5 -8◦50.4 2◦30.5 -5◦33.2 150◦23.8 -7◦23.2 89◦22.6 -21◦56.817 6◦23.5 25◦44.7 -8◦49.3 17◦31.3 -5◦32.4 165◦26.1 -7◦23.3 104◦24.7 -21◦56.818 21◦25.9 40◦44.8 -8◦48.1 32◦32.0 -5◦31.6 180◦28.3 -7◦23.3 119◦26.9 -21◦56.819 36◦28.4 55◦45.0 -8◦46.9 47◦32.7 -5◦30.8 195◦30.6 -7◦23.4 134◦29.1 -21◦56.920 51◦30.9 70◦45.1 -8◦45.7 62◦33.5 -5◦30.1 210◦32.9 -7◦23.5 149◦31.3 -21◦56.921 66◦33.3 85◦45.3 -8◦44.6 77◦34.2 -5◦29.3 225◦35.2 -7◦23.5 164◦33.4 -21◦56.922 81◦35.8 100◦45.4 -8◦43.4 92◦35.0 -5◦28.5 240◦37.5 -7◦23.6 179◦35.6 -21◦56.923 96◦38.2 115◦45.6 -8◦42.2 107◦35.7 -5◦27.7 255◦39.7 -7◦23.7 194◦37.8 -21◦56.9Mer.pass.:16:34 v0.1 d1.2 m-4.2 v0.7 d0.8 m1.0 v2.3 d-0.1 m-1.9 v2.2 d-0.0 m0.5

    Thu GHA GHA Dec GHA Dec GHA Dec GHA Dec0 111◦40.7 130◦45.7 -8◦41.0 122◦36.4 -5◦27.0 270◦42.0 -7◦23.7 209◦39.9 -21◦56.91 126◦43.2 145◦45.9 -8◦39.9 137◦37.2 -5◦26.2 285◦44.3 -7◦23.8 224◦42.1 -21◦57.02 141◦45.6 160◦46.0 -8◦38.7 152◦37.9 -5◦25.4 300◦46.6 -7◦23.8 239◦44.3 -21◦57.03 156◦48.1 175◦46.2 -8◦37.5 167◦38.7 -5◦24.7 315◦48.9 -7◦23.9 254◦46.5 -21◦57.04 171◦50.6 190◦46.4 -8◦36.3 182◦39.4 -5◦23.9 330◦51.2 -7◦24.0 269◦48.6 -21◦57.05 186◦53.0 205◦46.5 -8◦35.2 197◦40.1 -5◦23.1 345◦53.4 -7◦24.0 284◦50.8 -21◦57.06 201◦55.5 220◦46.7 -8◦34.0 212◦40.9 -5◦22.3 0◦55.7 -7◦24.1 299◦53.0 -21◦57.07 216◦58.0 235◦46.8 -8◦32.8 227◦41.6 -5◦21.6 15◦58.0 -7◦24.2 314◦55.2 -21◦57.08 232◦00.4 250◦47.0 -8◦31.6 242◦42.4 -5◦20.8 31◦00.3 -7◦24.2 329◦57.3 -21◦57.19 247◦02.9 265◦47.2 -8◦30.4 257◦43.1 -5◦20.0 46◦02.6 -7◦24.3 344◦59.5 -21◦57.110 262◦05.4 280◦47.3 -8◦29.3 272◦43.9 -5◦19.2 61◦04.8 -7◦24.3 0◦01.7 -21◦57.111 277◦07.8 295◦47.5 -8◦28.1 287◦44.6 -5◦18.5 76◦07.1 -7◦24.4 15◦03.9 -21◦57.112 292◦10.3 310◦47.7 -8◦26.9 302◦45.3 -5◦17.7 91◦09.4 -7◦24.5 30◦06.0 -21◦57.113 307◦12.7 325◦47.8 -8◦25.7 317◦46.1 -5◦16.9 106◦11.7 -7◦24.5 45◦08.2 -21◦57.114 322◦15.2 340◦48.0 -8◦24.6 332◦46.8 -5◦16.1 121◦14.0 -7◦24.6 60◦10.4 -21◦57.115 337◦17.7 355◦48.2 -8◦23.4 347◦47.6 -5◦15.4 136◦16.3 -7◦24.6 75◦12.6 -21◦57.216 352◦20.1 10◦48.3 -8◦22.2 2◦48.3 -5◦14.6 151◦18.6 -7◦24.7 90◦14.7 -21◦57.217 7◦22.6 25◦48.5 -8◦21.0 17◦49.0 -5◦13.8 166◦20.8 -7◦24.8 105◦16.9 -21◦57.218 22◦25.1 40◦48.7 -8◦19.8 32◦49.8 -5◦13.1 181◦23.1 -7◦24.8 120◦19.1 -21◦57.219 37◦27.5 55◦48.9 -8◦18.7 47◦50.5 -5◦12.3 196◦25.4 -7◦24.9 135◦21.3 -21◦57.220 52◦30.0 70◦49.0 -8◦17.5 62◦51.3 -5◦11.5 211◦27.7 -7◦24.9 150◦23.4 -21◦57.221 67◦32.5 85◦49.2 -8◦16.3 77◦52.0 -5◦10.7 226◦30.0 -7◦25.0 165◦25.6 -21◦57.222 82◦34.9 100◦49.4 -8◦15.1 92◦52.8 -5◦10.0 241◦32.3 -7◦25.1 180◦27.8 -21◦57.323 97◦37.4 115◦49.6 -8◦13.9 107◦53.5 -5◦09.2 256◦34.6 -7◦25.1 195◦30.0 -21◦57.3Mer.pass.:16:30 v0.2 d1.2 m-4.3 v0.7 d0.8 m1.0 v2.3 d-0.1 m-1.9 v2.2 d-0.0 m0.5

    StarsSHA Dec

    Alpheratz 357◦41.1 29◦11.2Ankaa 353◦13.5 -42◦13.1

    Schedar 349◦37.7 56◦38.0Diphda 348◦53.4 -17◦53.8

    Achernar 335◦25.0 -57◦09.4Hamal 327◦57.9 23◦32.5Polaris 316◦27.2 89◦20.3Akamar 315◦16.4 -40◦14.6Menkar 314◦12.4 4◦09.2Mirfak 308◦36.5 49◦55.3

    Aldebaran 290◦46.3 16◦32.4Rigel 281◦09.4 -8◦11.2

    Capella 280◦30.5 46◦00.8Bellatrix 278◦29.1 6◦21.6Elnath 278◦09.2 28◦37.1Alnilam 275◦43.6 -1◦11.7

    Betelgeuse 270◦58.4 7◦24.3Canopus 263◦54.5 -52◦42.6

    Sirius 258◦31.1 -16◦44.4Adara 255◦10.2 -28◦60.0

    Procyon 244◦56.8 5◦10.8Pollux 243◦24.3 27◦58.9Avior 234◦16.3 -59◦33.9Suhail 222◦50.2 -43◦30.1

    Miaplacidus 221◦38.2 -69◦47.2Alphard 217◦53.4 -8◦44.1Regulus 207◦40.7 11◦52.9Dubhe 193◦48.5 61◦39.3

    Denebola 182◦31.0 14◦28.5Gienah 175◦49.7 -17◦38.1Acrux 173◦06.3 -63◦11.3

    Gacrux 171◦58.0 -57◦12.2Alioth 166◦18.7 55◦51.8Spica 158◦28.7 -11◦14.9Alcaid 152◦57.1 49◦13.5Hadar 148◦44.5 -60◦26.9

    Menkent 148◦04.8 -36◦26.9Arcturus 145◦53.5 19◦05.9

    Rigil Kent. 139◦48.6 -60◦53.9Zubenelg. 137◦02.9 -16◦06.5Kochab 137◦20.8 74◦05.0

    Alphecca 126◦09.2 26◦39.5Antares 112◦23.5 -26◦27.9

    Atria 107◦23.6 -69◦03.1Sabik 102◦10.1 -15◦44.5

    Shaula 96◦19.0 -37◦06.7Rasalhague 96◦04.5 12◦33.0

    Etamin 90◦45.5 51◦29.3Kaus Aust. 83◦41.0 -34◦22.3

    Vega 80◦37.8 38◦48.1Nunki 75◦55.7 -26◦16.3Altair 62◦06.3 8◦54.9

    Peacock 53◦16.1 -56◦40.8Deneb 49◦30.2 45◦20.6

    Enif 33◦45.0 9◦57.3Alnair 27◦41.2 -46◦52.8

    Fomalhaut 15◦21.6 -29◦32.1Scheat 13◦51.2 28◦10.6Markab 13◦36.1 15◦17.9

    2017/1/1 SHA Mer.passVenus 20◦57.0 15:17Mars 12◦18.6 15:51

    Jupiter 159◦10.4 06:04Saturn 98◦13.3 10:07

    2017/1/1 SHA Mer.passVenus 20◦00.7 15:17Mars 11◦37.1 15:50

    Jupiter 159◦05.8 05:60Saturn 98◦06.2 10:03

    2017/1/1 SHA Mer.passVenus 19◦05.0 15:17Mars 10◦55.7 15:49

    Jupiter 159◦01.3 05:56Saturn 97◦59.2 09:60

    Horizontal paralaxVenus: 0.2Mars: 0.1

    8

    2017 January 10 to Jan. 12

    h Sun MoonTue GHA Dec GHA ν Dec d HP0 178◦08.7 -21◦57.3 34◦26.1 5.0 17◦41.2 4.4 60.41 193◦08.5 -21◦57.0 48◦50.1 5.0 17◦45.5 4.3 60.42 208◦08.2 -21◦56.6 63◦14.1 5.0 17◦49.7 4.2 60.43 223◦08.0 -21◦56.2 77◦38.0 4.9 17◦53.8 4.0 60.44 238◦07.7 -21◦55.9 92◦01.9 4.9 17◦57.8 3.9 60.45 253◦07.5 -21◦55.5 106◦25.8 4.9 18◦01.6 3.8 60.46 268◦07.2 -21◦55.1 120◦49.7 4.8 18◦05.4 3.7 60.47 283◦07.0 -21◦54.7 135◦13.5 4.8 18◦08.9 3.5 60.48 298◦06.7 -21◦54.3 149◦37.3 4.8 18◦12.4 3.4 60.49 313◦06.5 -21◦54.0 164◦01.0 4.7 18◦15.7 3.3 60.410 328◦06.2 -21◦53.6 178◦24.8 4.7 18◦18.9 3.1 60.411 343◦06.0 -21◦53.2 192◦48.5 4.7 18◦22.0 3.0 60.412 358◦05.7 -21◦52.8 207◦12.2 4.7 18◦25.0 2.9 60.413 13◦05.5 -21◦52.4 221◦35.9 4.7 18◦27.8 2.7 60.414 28◦05.2 -21◦52.1 235◦59.5 4.6 18◦30.4 2.6 60.415 43◦05.0 -21◦51.7 250◦23.1 4.6 18◦33.0 2.5 60.316 58◦04.7 -21◦51.3 264◦46.8 4.6 18◦35.4 2.4 60.317 73◦04.5 -21◦50.9 279◦10.4 4.6 18◦37.7 2.2 60.318 88◦04.2 -21◦50.5 293◦33.9 4.6 18◦39.8 2.1 60.319 103◦04.0 -21◦50.1 307◦57.5 4.6 18◦41.9 2.0 60.320 118◦03.8 -21◦49.8 322◦21.1 4.6 18◦43.8 1.8 60.321 133◦03.5 -21◦49.4 336◦44.7 4.6 18◦45.5 1.7 60.322 148◦03.3 -21◦49.0 351◦08.2 4.5 18◦47.1 1.5 60.323 163◦03.0 -21◦48.6 5◦31.7 4.5 18◦48.6 1.4 60.3

    SD.=16.3 d=0.4 S.D.=16.5

    Wed GHA Dec GHA ν Dec d HP0 178◦02.8 -21◦48.2 19◦55.3 4.5 18◦49.9 1.3 60.31 193◦02.5 -21◦47.8 34◦18.8 4.5 18◦51.2 1.1 60.32 208◦02.3 -21◦47.4 48◦42.4 4.5 18◦52.2 1.0 60.33 223◦02.0 -21◦47.0 63◦05.9 4.5 18◦53.2 0.9 60.34 238◦01.8 -21◦46.6 77◦29.5 4.5 18◦54.0 0.7 60.35 253◦01.5 -21◦46.2 91◦53.0 4.6 18◦54.7 0.6 60.36 268◦01.3 -21◦45.8 106◦16.6 4.6 18◦55.2 0.5 60.27 283◦01.0 -21◦45.5 120◦40.1 4.6 18◦55.6 0.3 60.28 298◦00.8 -21◦45.1 135◦03.7 4.6 18◦55.9 0.2 60.29 313◦00.6 -21◦44.7 149◦27.3 4.6 18◦56.0 0.1 60.210 328◦00.3 -21◦44.3 163◦50.9 4.6 18◦56.0 -0.1 60.211 343◦00.1 -21◦43.9 178◦14.5 4.6 18◦55.9 -0.2 60.212 357◦59.8 -21◦43.5 192◦38.1 4.6 18◦55.6 -0.3 60.213 12◦59.6 -21◦43.1 207◦01.8 4.7 18◦55.2 -0.5 60.214 27◦59.3 -21◦42.7 221◦25.4 4.7 18◦54.7 -0.6 60.115 42◦59.1 -21◦42.3 235◦49.1 4.7 18◦54.0 -0.7 60.116 57◦58.9 -21◦41.9 250◦12.8 4.7 18◦53.2 -0.9 60.117 72◦58.6 -21◦41.5 264◦36.6 4.7 18◦52.3 -1.0 60.118 87◦58.4 -21◦41.1 279◦00.3 4.8 18◦51.2 -1.1 60.119 102◦58.1 -21◦40.7 293◦24.1 4.8 18◦50.0 -1.3 60.120 117◦57.9 -21◦40.3 307◦47.9 4.8 18◦48.7 -1.4 60.121 132◦57.7 -21◦39.8 322◦11.8 4.9 18◦47.2 -1.5 60.022 147◦57.4 -21◦39.4 336◦35.6 4.9 18◦45.6 -1.7 60.023 162◦57.2 -21◦39.0 350◦59.5 4.9 18◦43.9 -1.8 60.0

    SD.=16.3 d=0.4 S.D.=16.4

    Thu GHA Dec GHA ν Dec d HP0 177◦56.9 -21◦38.6 5◦23.5 5.0 18◦42.0 -1.9 60.01 192◦56.7 -21◦38.2 19◦47.5 5.0 18◦40.0 -2.1 60.02 207◦56.5 -21◦37.8 34◦11.5 5.0 18◦37.9 -2.2 60.03 222◦56.2 -21◦37.4 48◦35.5 5.1 18◦35.7 -2.3 59.94 237◦56.0 -21◦37.0 62◦59.6 5.1 18◦33.3 -2.4 59.95 252◦55.7 -21◦36.6 77◦23.8 5.2 18◦30.8 -2.6 59.96 267◦55.5 -21◦36.2 91◦48.0 5.2 18◦28.2 -2.7 59.97 282◦55.3 -21◦35.8 106◦12.2 5.3 18◦25.4 -2.8 59.98 297◦55.0 -21◦35.3 120◦36.5 5.3 18◦22.5 -2.9 59.89 312◦54.8 -21◦34.9 135◦00.8 5.3 18◦19.5 -3.1 59.810 327◦54.5 -21◦34.5 149◦25.1 5.4 18◦16.4 -3.2 59.811 342◦54.3 -21◦34.1 163◦49.6 5.4 18◦13.2 -3.3 59.812 357◦54.1 -21◦33.7 178◦14.0 5.5 18◦09.8 -3.4 59.813 12◦53.8 -21◦33.3 192◦38.6 5.6 18◦06.3 -3.6 59.714 27◦53.6 -21◦32.9 207◦03.2 5.6 18◦02.7 -3.7 59.715 42◦53.4 -21◦32.4 221◦27.8 5.7 17◦59.0 -3.8 59.716 57◦53.1 -21◦32.0 235◦52.5 5.7 17◦55.1 -3.9 59.717 72◦52.9 -21◦31.6 250◦17.2 5.8 17◦51.2 -4.0 59.618 87◦52.7 -21◦31.2 264◦42.0 5.8 17◦47.1 -4.1 59.619 102◦52.4 -21◦30.8 279◦06.9 5.9 17◦42.9 -4.3 59.620 117◦52.2 -21◦30.3 293◦31.8 6.0 17◦38.6 -4.4 59.621 132◦52.0 -21◦29.9 307◦56.8 6.0 17◦34.1 -4.5 59.522 147◦51.7 -21◦29.5 322◦21.9 6.1 17◦29.6 -4.6 59.523 162◦51.5 -21◦29.1 336◦47.0 6.2 17◦24.9 -4.7 59.5

    SD.=16.3 d=0.4 S.D.=16.4

    Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 08:09 10:07 –:– –:– 14:10 16:0870 07:53 09:28 –:– –:– 14:48 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 07:12 08:11 09:11 15:05 16:06 17:0560 07:04 07:59 08:53 15:23 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 16:02 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 06:02 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. Tue Wed Thu Tue Wed Thu72 –:– –:– –:– –:– –:– –:–70 11:51 12:35 14:02 08:17 09:40 10:1968 12:33 13:24 14:42 07:35 08:51 09:3866 13:02 13:55 15:10 07:07 08:20 09:1064 13:24 14:19 15:31 06:45 07:56 08:4962 13:41 14:37 15:48 06:28 07:38 08:3160 13:56 14:53 16:02 06:14 07:22 08:1758 14:08 15:06 16:14 06:01 07:09 08:0556 14:19 15:17 16:24 05:51 06:58 07:5454 14:29 15:27 16:34 05:41 06:48 07:4552 14:37 15:35 16:42 05:33 06:39 07:3650 14:45 15:43 16:49 05:26 06:31 07:2945 15:01 16:00 17:05 05:10 06:15 07:1240 15:15 16:14 17:18 04:57 06:01 06:5935 15:26 16:26 17:29 04:45 05:49 06:4830 15:36 16:36 17:38 04:36 05:39 06:3820 15:53 16:53 17:55 04:19 05:21 06:2110 16:08 17:09 18:09 04:04 05:06 06:060 16:22 17:23 18:23 03:51 04:51 05:52-10 16:37 17:38 18:36 03:37 04:37 05:38-20 16:52 17:53 18:51 03:23 04:22 05:23-30 17:09 18:11 19:07 03:06 04:04 05:05-35 17:20 18:21 19:17 02:56 03:53 04:55-40 17:31 18:33 19:28 02:45 03:42 04:44-45 17:45 18:47 19:40 02:32 03:28 04:30-50 18:02 19:04 19:56 02:16 03:11 04:13-52 18:10 19:12 20:03 02:09 03:03 04:05-54 18:19 19:20 20:11 02:01 02:54 03:57-56 18:29 19:30 20:20 01:51 02:44 03:47-58 18:40 19:42 20:31 01:41 02:32 03:35-60 18:53 19:55 20:42 01:29 02:19 03:22

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

    00h 12h Pass Upper Lower10 07:25 07:37 12:07 22:36 10:06 12(94%)11 07:49 08:01 12:08 23:37 11:07 13(99%)12 08:12 08:24 12:08 00:36 12:07 14(100%)

    9

  • January 13, 14 ,15 (Fri., Sat., Sun.)Aries Venus Mars Jupiter Saturn

    Fri GHA GHA Dec GHA Dec GHA Dec GHA Dec0 112◦39.9 130◦49.7 -8◦12.8 122◦54.2 -5◦08.4 271◦36.8 -7◦25.2 210◦32.1 -21◦57.31 127◦42.3 145◦49.9 -8◦11.6 137◦55.0 -5◦07.6 286◦39.1 -7◦25.2 225◦34.3 -21◦57.32 142◦44.8 160◦50.1 -8◦10.4 152◦55.7 -5◦06.9 301◦41.4 -7◦25.3 240◦36.5 -21◦57.33 157◦47.2 175◦50.3 -8◦09.2 167◦56.5 -5◦06.1 316◦43.7 -7◦25.4 255◦38.7 -21◦57.34 172◦49.7 190◦50.5 -8◦08.0 182◦57.2 -5◦05.3 331◦46.0 -7◦25.4 270◦40.8 -21◦57.45 187◦52.2 205◦50.6 -8◦06.9 197◦57.9 -5◦04.5 346◦48.3 -7◦25.5 285◦43.0 -21◦57.46 202◦54.6 220◦50.8 -8◦05.7 212◦58.7 -5◦03.8 1◦50.6 -7◦25.5 300◦45.2 -21◦57.47 217◦57.1 235◦51.0 -8◦04.5 227◦59.4 -5◦03.0 16◦52.9 -7◦25.6 315◦47.4 -21◦57.48 232◦59.6 250◦51.2 -8◦03.3 243◦00.2 -5◦02.2 31◦55.2 -7◦25.6 330◦49.5 -21◦57.49 248◦02.0 265◦51.4 -8◦02.1 258◦00.9 -5◦01.4 46◦57.5 -7◦25.7 345◦51.7 -21◦57.410 263◦04.5 280◦51.6 -8◦01.0 273◦01.7 -5◦00.7 61◦59.7 -7◦25.8 0◦53.9 -21◦57.411 278◦07.0 295◦51.8 -7◦59.8 288◦02.4 -4◦59.9 77◦02.0 -7◦25.8 15◦56.1 -21◦57.512 293◦09.4 310◦52.0 -7◦58.6 303◦03.1 -4◦59.1 92◦04.3 -7◦25.9 30◦58.2 -21◦57.513 308◦11.9 325◦52.1 -7◦57.4 318◦03.9 -4◦58.3 107◦06.6 -7◦25.9 46◦00.4 -21◦57.514 323◦14.3 340◦52.3 -7◦56.2 333◦04.6 -4◦57.6 122◦08.9 -7◦26.0 61◦02.6 -21◦57.515 338◦16.8 355◦52.5 -7◦55.0 348◦05.4 -4◦56.8 137◦11.2 -7◦26.1 76◦04.8 -21◦57.516 353◦19.3 10◦52.7 -7◦53.9 3◦06.1 -4◦56.0 152◦13.5 -7◦26.1 91◦06.9 -21◦57.517 8◦21.7 25◦52.9 -7◦52.7 18◦06.9 -4◦55.2 167◦15.8 -7◦26.2 106◦09.1 -21◦57.518 23◦24.2 40◦53.1 -7◦51.5 33◦07.6 -4◦54.5 182◦18.1 -7◦26.2 121◦11.3 -21◦57.619 38◦26.7 55◦53.3 -7◦50.3 48◦08.4 -4◦53.7 197◦20.4 -7◦26.3 136◦13.5 -21◦57.620 53◦29.1 70◦53.5 -7◦49.1 63◦09.1 -4◦52.9 212◦22.7 -7◦26.3 151◦15.6 -21◦57.621 68◦31.6 85◦53.7 -7◦47.9 78◦09.8 -4◦52.1 227◦25.0 -7◦26.4 166◦17.8 -21◦57.622 83◦34.1 100◦53.9 -7◦46.8 93◦10.6 -4◦51.4 242◦27.2 -7◦26.5 181◦20.0 -21◦57.623 98◦36.5 115◦54.1 -7◦45.6 108◦11.3 -4◦50.6 257◦29.5 -7◦26.5 196◦22.2 -21◦57.6Mer.pass.:16:26 v0.2 d1.2 m-4.3 v0.7 d0.8 m1.0 v2.3 d-0.1 m-1.9 v2.2 d-0.0 m0.5

    Sat GHA GHA Dec GHA Dec GHA Dec GHA Dec0 113◦39.0 130◦54.3 -7◦44.4 123◦12.1 -4◦49.8 272◦31.8 -7◦26.6 211◦24.3 -21◦57.61 128◦41.5 145◦54.5 -7◦43.2 138◦12.8 -4◦49.0 287◦34.1 -7◦26.6 226◦26.5 -21◦57.72 143◦43.9 160◦54.7 -7◦42.0 153◦13.6 -4◦48.3 302◦36.4 -7◦26.7 241◦28.7 -21◦57.73 158◦46.4 175◦54.9 -7◦40.8 168◦14.3 -4◦47.5 317◦38.7 -7◦26.7 256◦30.9 -21◦57.74 173◦48.8 190◦55.1 -7◦39.7 183◦15.1 -4◦46.7 332◦41.0 -7◦26.8 271◦33.1 -21◦57.75 188◦51.3 205◦55.3 -7◦38.5 198◦15.8 -4◦45.9 347◦43.3 -7◦26.8 286◦35.2 -21◦57.76 203◦53.8 220◦55.6 -7◦37.3 213◦16.5 -4◦45.2 2◦45.6 -7◦26.9 301◦37.4 -21◦57.77 218◦56.2 235◦55.8 -7◦36.1 228◦17.3 -4◦44.4 17◦47.9 -7◦27.0 316◦39.6 -21◦57.78 233◦58.7 250◦56.0 -7◦34.9 243◦18.0 -4◦43.6 32◦50.2 -7◦27.0 331◦41.8 -21◦57.89 249◦01.2 265◦56.2 -7◦33.7 258◦18.8 -4◦42.8 47◦52.5 -7◦27.1 346◦43.9 -21◦57.810 264◦03.6 280◦56.4 -7◦32.5 273◦19.5 -4◦42.0 62◦54.8 -7◦27.1 1◦46.1 -21◦57.811 279◦06.1 295◦56.6 -7◦31.4 288◦20.3 -4◦41.3 77◦57.1 -7◦27.2 16◦48.3 -21◦57.812 294◦08.6 310◦56.8 -7◦30.2 303◦21.0 -4◦40.5 92◦59.4 -7◦27.2 31◦50.5 -21◦57.813 309◦11.0 325◦57.0 -7◦29.0 318◦21.8 -4◦39.7 108◦01.7 -7◦27.3 46◦52.7 -21◦57.814 324◦13.5 340◦57.3 -7◦27.8 333◦22.5 -4◦38.9 123◦04.0 -7◦27.3 61◦54.8 -21◦57.815 339◦16.0 355◦57.5 -7◦26.6 348◦23.3 -4◦38.2 138◦06.3 -7◦27.4 76◦57.0 -21◦57.916 354◦18.4 10◦57.7 -7◦25.4 3◦24.0 -4◦37.4 153◦08.6 -7◦27.5 91◦59.2 -21◦57.917 9◦20.9 25◦57.9 -7◦24.3 18◦24.7 -4◦36.6 168◦10.9 -7◦27.5 107◦01.4 -21◦57.918 24◦23.3 40◦58.1 -7◦23.1 33◦25.5 -4◦35.8 183◦13.2 -7◦27.6 122◦03.5 -21◦57.919 39◦25.8 55◦58.4 -7◦21.9 48◦26.2 -4◦35.1 198◦15.5 -7◦27.6 137◦05.7 -21◦57.920 54◦28.3 70◦58.6 -7◦20.7 63◦27.0 -4◦34.3 213◦17.8 -7◦27.7 152◦07.9 -21◦57.921 69◦30.7 85◦58.8 -7◦19.5 78◦27.7 -4◦33.5 228◦20.1 -7◦27.7 167◦10.1 -21◦57.922 84◦33.2 100◦59.0 -7◦18.3 93◦28.5 -4◦32.7 243◦22.4 -7◦27.8 182◦12.3 -21◦58.023 99◦35.7 115◦59.2 -7◦17.1 108◦29.2 -4◦32.0 258◦24.7 -7◦27.8 197◦14.4 -21◦58.0Mer.pass.:16:22 v0.2 d1.2 m-4.3 v0.7 d0.8 m1.0 v2.3 d-0.1 m-1.9 v2.2 d-0.0 m0.5

    Sun GHA GHA Dec GHA Dec GHA Dec GHA Dec0 114◦38.1 130◦59.5 -7◦15.9 123◦30.0 -4◦31.2 273◦27.0 -7◦27.9 212◦16.6 -21◦58.01 129◦40.6 145◦59.7 -7◦14.8 138◦30.7 -4◦30.4 288◦29.3 -7◦27.9 227◦18.8 -21◦58.02 144◦43.1 160◦59.9 -7◦13.6 153◦31.5 -4◦29.6 303◦31.6 -7◦28.0 242◦21.0 -21◦58.03 159◦45.5 176◦00.2 -7◦12.4 168◦32.2 -4◦28.9 318◦33.9 -7◦28.1 257◦23.1 -21◦58.04 174◦48.0 191◦00.4 -7◦11.2 183◦33.0 -4◦28.1 333◦36.2 -7◦28.1 272◦25.3 -21◦58.05 189◦50.5 206◦00.6 -7◦10.0 198◦33.7 -4◦27.3 348◦38.5 -7◦28.2 287◦27.5 -21◦58.06 204◦52.9 221◦00.9 -7◦08.8 213◦34.4 -4◦26.5 3◦40.8 -7◦28.2 302◦29.7 -21◦58.17 219◦55.4 236◦01.1 -7◦07.6 228◦35.2 -4◦25.7 18◦43.1 -7◦28.3 317◦31.9 -21◦58.18 234◦57.8 251◦01.3 -7◦06.4 243◦35.9 -4◦25.0 33◦45.4 -7◦28.3 332◦34.0 -21◦58.19 250◦00.3 266◦01.6 -7◦05.3 258◦36.7 -4◦24.2 48◦47.7 -7◦28.4 347◦36.2 -21◦58.110 265◦02.8 281◦01.8 -7◦04.1 273◦37.4 -4◦23.4 63◦50.0 -7◦28.4 2◦38.4 -21◦58.111 280◦05.2 296◦02.0 -7◦02.9 288◦38.2 -4◦22.6 78◦52.3 -7◦28.5 17◦40.6 -21◦58.112 295◦07.7 311◦02.3 -7◦01.7 303◦38.9 -4◦21.9 93◦54.6 -7◦28.5 32◦42.8 -21◦58.113 310◦10.2 326◦02.5 -7◦00.5 318◦39.7 -4◦21.1 108◦56.9 -7◦28.6 47◦44.9 -21◦58.214 325◦12.6 341◦02.8 -6◦59.3 333◦40.4 -4◦20.3 123◦59.2 -7◦28.6 62◦47.1 -21◦58.215 340◦15.1 356◦03.0 -6◦58.1 348◦41.2 -4◦19.5 139◦01.5 -7◦28.7 77◦49.3 -21◦58.216 355◦17.6 11◦03.2 -6◦56.9 3◦41.9 -4◦18.8 154◦03.8 -7◦28.7 92◦51.5 -21◦58.217 10◦20.0 26◦03.5 -6◦55.8 18◦42.7 -4◦18.0 169◦06.1 -7◦28.8 107◦53.7 -21◦58.218 25◦22.5 41◦03.7 -6◦54.6 33◦43.4 -4◦17.2 184◦08.4 -7◦28.8 122◦55.8 -21◦58.219 40◦24.9 56◦04.0 -6◦53.4 48◦44.2 -4◦16.4 199◦10.7 -7◦28.9 137◦58.0 -21◦58.220 55◦27.4 71◦04.2 -6◦52.2 63◦44.9 -4◦15.6 214◦13.0 -7◦28.9 153◦00.2 -21◦58.321 70◦29.9 86◦04.5 -6◦51.0 78◦45.7 -4◦14.9 229◦15.3 -7◦29.0 168◦02.4 -21◦58.322 85◦32.3 101◦04.7 -6◦49.8 93◦46.4 -4◦14.1 244◦17.7 -7◦29.0 183◦04.6 -21◦58.323 100◦34.8 116◦05.0 -6◦48.6 108◦47.2 -4◦13.3 259◦20.0 -7◦29.1 198◦06.7 -21◦58.3Mer.pass.:16:18 v0.2 d1.2 m-4.3 v0.7 d0.8 m1.0 v2.3 d-0.1 m-1.9 v2.2 d-0.0 m0.5

    StarsSHA Dec

    Alpheratz 357◦41.1 29◦11.2Ankaa 353◦13.5 -42◦13.1

    Schedar 349◦37.7 56◦38.0Diphda 348◦53.4 -17◦53.8

    Achernar 335◦25.1 -57◦09.4Hamal 327◦57.9 23◦32.5Polaris 316◦28.4 89◦20.4Akamar 315◦16.4 -40◦14.6Menkar 314◦12.4 4◦09.2Mirfak 308◦36.5 49◦55.3

    Aldebaran 290◦46.3 16◦32.4Rigel 281◦09.4 -8◦11.2

    Capella 280◦30.4 46◦00.8Bellatrix 278◦29.1 6◦21.6Elnath 278◦09.2 28◦37.1Alnilam 275◦43.6 -1◦11.7

    Betelgeuse 270◦58.4 7◦24.3Canopus 263◦54.5 -52◦42.6

    Sirius 258◦31.1 -16◦44.5Adara 255◦10.2 -28◦60.0

    Procyon 244◦56.8 5◦10.8Pollux 243◦24.3 27◦58.9Avior 234◦16.3 -59◦33.9Suhail 222◦50.2 -43◦30.1

    Miaplacidus 221◦38.2 -69◦47.2Alphard 217◦53.4 -8◦44.1Regulus 207◦40.7 11◦52.9Dubhe 193◦48.4 61◦39.3

    Denebola 182◦31.0 14◦28.5Gienah 175◦49.6 -17◦38.1Acrux 173◦06.2 -63◦11.3

    Gacrux 171◦57.9 -57◦12.2Alioth 166◦18.6 55◦51.8Spica 158◦28.7 -11◦14.9Alcaid 152◦57.1 49◦13.5Hadar 148◦44.4 -60◦26.9

    Menkent 148◦04.7 -36◦26.9Arcturus 145◦53.5 19◦05.9

    Rigil Kent. 139◦48.5 -60◦53.9Zubenelg. 137◦02.8 -16◦06.5Kochab 137◦20.7 74◦05.0

    Alphecca 126◦09.2 26◦39.5Antares 112◦23.5 -26◦27.9

    Atria 107◦23.6 -69◦03.1Sabik 102◦10.0 -15◦44.5

    Shaula 96◦19.0 -37◦06.7Rasalhague 96◦04.5 12◦33.0

    Etamin 90◦45.5 51◦29.3Kaus Aust. 83◦41.0 -34◦22.3

    Vega 80◦37.8 38◦48.0Nunki 75◦55.7 -26◦16.3Altair 62◦06.3 8◦54.9

    Peacock 53◦16.1 -56◦40.7Deneb 49◦30.2 45◦20.6

    Enif 33◦45.0 9◦57.3Alnair 27◦41.2 -46◦52.8

    Fomalhaut 15◦21.6 -29◦32.1Scheat 13◦51.2 28◦10.6Markab 13◦36.1 15◦17.8

    2017/1/1 SHA Mer.passVenus 18◦09.9 15:16Mars 10◦14.4 15:48

    Jupiter 158◦57.0 05:53Saturn 97◦52.3 09:56

    2017/1/1 SHA Mer.passVenus 17◦15.3 15:16Mars 9◦33.1 15:46

    Jupiter 158◦52.8 05:49Saturn 97◦45.4 09:53

    2017/1/1 SHA Mer.passVenus 16◦21.3 15:16Mars 8◦51.8 15:45

    Jupiter 158◦48.8 05:45Saturn 97◦38.5 09:49

    Horizontal paralaxVenus: 0.2Mars: 0.1

    10

    2017 January 13 to Jan. 15

    h Sun MoonFri GHA Dec GHA ν Dec d HP0 177◦51.2 -21◦28.6 351◦12.2 6.2 17◦20.2 -4.8 59.51 192◦51.0 -21◦28.2 5◦37.4 6.3 17◦15.3 -4.9 59.42 207◦50.8 -21◦27.8 20◦02.8 6.4 17◦10.3 -5.0 59.43 222◦50.6 -21◦27.4 34◦28.1 6.4 17◦05.2 -5.1 59.44 237◦50.3 -21◦26.9 48◦53.6 6.5 17◦00.0 -5.3 59.45 252◦50.1 -21◦26.5 63◦19.1 6.6 16◦54.7 -5.4 59.36 267◦49.9 -21◦26.1 77◦44.7 6.6 16◦49.3 -5.5 59.37 282◦49.6 -21◦25.6 92◦10.4 6.7 16◦43.8 -5.6 59.38 297◦49.4 -21◦25.2 106◦36.1 6.8 16◦38.2 -5.7 59.29 312◦49.2 -21◦24.8 121◦01.9 6.8 16◦32.4 -5.8 59.210 327◦48.9 -21◦24.4 135◦27.8 6.9 16◦26.6 -5.9 59.211 342◦48.7 -21◦23.9 149◦53.8 7.0 16◦20.7 -6.0 59.212 357◦48.5 -21◦2