#,r).ricotti/newweb/teaching/astr... · 2015. 2. 28. · ob4tled* 4 op eqrudqt d rv,il."; /+r-...

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\\ A k '?")/,,i urn, 40< pptm,UA o{hH. (0"tAr 4.a4h @L0( !,fu fq" uerW/ a,rtuaut fZu r^ t,. 1\.a4 Oelull ef4nq 4 rlihl4 l-C,< a,G1dd ' M,t,--Tt+hCz_D) W u c/*'4, bve ?te b ra,t'il ai/ ii,- R,/, =- # * ft,c*-t,l,G " o . R,i, *zi,?, = ,a,(*-r).Q ..@ 4,a cta,a, we Jat Q, = eo+cc, pt=Aot+9'/R, wvft ,tL= (@t/R;)n'n o7.W lt M/n,z % kh I I

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Page 1: #,r).ricotti/NEWWEB/teaching/ASTR... · 2015. 2. 28. · ob4tleD* 4 Op eqruDqt d rv,il."; /+r- C.)* ry W)L oa.o14/ fu tatt-,< ql% that Che tlrt 6oryl ?2./ wll fu AaVor.at So, n*tm?

\\

A k '?")/,,i urn,40< pptm,UAo{hH.

(0"tAr4.€a4h

@L0( !,fu fq" uerW/ a,rtuautfZu r^ t,.

1\.a4 Oelull ef4nq 4 rlihl4 l-C,< a,G1dd 'M,t,--Tt+hCz_D)W u c/*'4, bve ?te b ra,t'il ai/

ii,- R,/, =- # * ft,c*-t,l,G " o. R,i, *zi,?, = ,a,(*-r).Q ..@4,a cta,a, we Jat

Q, = eo+cc,pt=Aot+9'/R,wvft ,tL= (@t/R;)n'n o7.W lt M/n,z %

khII

Page 2: #,r).ricotti/NEWWEB/teaching/ASTR... · 2015. 2. 28. · ob4tleD* 4 Op eqruDqt d rv,il."; /+r- C.)* ry W)L oa.o14/ fu tatt-,< ql% that Che tlrt 6oryl ?2./ wll fu AaVor.at So, n*tm?

-fnf mza*r et*6 = (t?o+x)E *A,?ft= (no+*)B*yr/

SO ery,at".tr @ be.rt'^r<

x, - geo*,c) (Jt * Araf = _ #,r). *,yb,(x"_x,)

=E:C, -f?"f6-,rtrr, -Zt?o g,eh.= - *+Tx,ff*fu,(xz-x)

d/wfi:/1tu b?rr< l;/k d7r*to" t^ 1:x.0 t hrr<i Os? R ti.d,l, ar/.ra4$ q/!ta" a/(q+4.tolrl4Clrv(r)

+ *,-Ptf,,-,rt*, -2,t1,o!, = rkt4" +z:c,,rf,+ft,fu.o)Vyl'ox we lral* Wl,futCWt a,nu= @/pl

\- 12(Ro+tc, +2X.,1,t1o+?/t

-ryv'',etw"< ^q14.4,b.1 kn+ Ukfu ry ore sruilrn etytar*aq. -

EU,attr@ b"^r"*,(y,-y )

@x,V, '*,9,

) *, - 3,rt"t*, -2nn6, - $ lrrr-.r.i:,2

+ ,j, *ut,fi.:?nJ\4,-D = o

Ey,.r*@v@ a,<. tlw E/tt"r/ E/t*6. .l /n"/t"w

Page 3: #,r).ricotti/NEWWEB/teaching/ASTR... · 2015. 2. 28. · ob4tleD* 4 Op eqruDqt d rv,il."; /+r- C.)* ry W)L oa.o14/ fu tatt-,< ql% that Che tlrt 6oryl ?2./ wll fu AaVor.at So, n*tm?

@ \.* ob4tleD* 4 Op eqruDqt d rv,il."; /+r- C.)*ry W)L oa.o14/ fu tatt-,< ql% that Chetlrt 6oryl ?2./ wll fu AaVor.at So,

n*tm?tk/ilr

x.r.-3,st rr" - 2,t1.i2, - A" (xrzi = o

$. +Zx.rL - h.(y,-y,) = oSubtor,t @/,''^@ t'--'

*, -*. - 3,ttx, + 3rt,-" - Zt[Li, +2tLi,- # C*"-*,) + h.(x,:x."1 =5t

=> (i;iz) - 3 d (n, -x) - 2n. $,- y.)+ h(x,_xz)(h"rh,) = o

lpt qx--=(1-DC2 d 4/=g,-!t. So,e-u,i- la*n^r<Ua* - 3,ru*n - Z,n a!1 + k ax 1 ;"+ fi,) i oBrtt mz>>Ar fo h".- h,. ,1w,, ,ytil? k w fnA*. - 1su- ft;ax -ztLo1 = o .'@

.@

@

JL4btoqk @ l* @

A,'i, +2x,.n-2x1.,r1a

+Z,QaAx. + ftn

- hrq.-w* k o1,y) =oI +I \lvtr' hz) =Q

.@A'y *Znl"oic + ^E

a? = O

t4 rzauirza

Page 4: #,r).ricotti/NEWWEB/teaching/ASTR... · 2015. 2. 28. · ob4tleD* 4 Op eqruDqt d rv,il."; /+r- C.)* ry W)L oa.o14/ fu tatt-,< ql% that Che tlrt 6oryl ?2./ wll fu AaVor.at So, n*tm?

O k/n,h^ *,,h d,klry-@., * 4 ea4 ha"r"WU 'im tte'o',"t7 ftte.'k;,r--e7 n k fiIbloml,'n-.

9trttttne tW h.fr,>>,tt,

'l\aa.vre an e*nfu'l't"t tQt/t'f ,thQ*tyee/uAu;r 4 r'u@4'' 56,we luat'e

a* +b a* =otlt,i,l * #,o? =o

etq 6r,74r,,r? [7^

trrwr'ur ee k;vlh 6il//4b. q,"... bnh Az M' 4Y

Ax- = A tos (wt+ po1AV = Bus(w{+'/c)tdj = v@rt, aii A,g, %h ar,,,.t^t

So,tL< A,fifnattrt Ueatfi< "o{Abo 6fivd Oe tVl.<-*ak"-tle fzaae-sA,n*, k aX {t''e @ 4-{k oLt /D;/ 6r/4a-d A"" paid 4 Oe orb* k t11 =,ffi

@ UartA u'r.rk 'e €tr to ddl;.e ay. Sa,+lii - Gfi-h/^,)a* -2,{L4,/=o

+ d* - (s,rt-km,) a*, -zl?* 4 = oE4,u,te b,.*t t.*

,,iV = -'Z,p,nL- h,oy

Page 5: #,r).ricotti/NEWWEB/teaching/ASTR... · 2015. 2. 28. · ob4tleD* 4 Op eqruDqt d rv,il."; /+r- C.)* ry W)L oa.o14/ fu tatt-,< ql% that Che tlrt 6oryl ?2./ wll fu AaVor.at So, n*tm?

5uh4, &,',4 i,.h e{' h. aZ gr*"AJ" - (3,Q* - t?n )a* -ZIL, QAa* - A,o?) = o

+ A1 + (ft +R/n,)ak +zaft1? -- o+ i*, + (,rbt + LY1a,ldic + Z,tLh,ay = o

&rA, hr.^ @u"e turnZ'lLaY = a* - G'n;- 41a,)ax

fr.tfu,O,,t i,,,a e7. /r )i; qt*zin, * (ct| +t26,1 eiic + @h, G, - [tot- k1o-)= o

+ 1d+ff)ax (s,r*- ft,Sax- = o'Tu,or tr tle,Wu,"/ 6/r//eah/ ef,ha

Sgr ckua,fon;at el/,,r,h^, h@btk t4 A4. = A e*lT'a^ Ai = Aaeet = d&-tix = d, ax - *Atce4

ra a.Ax = sqQ4:r-,h, *e **, a"qx +(,_6+ft),1?ar< _ fi G,rt_g)*:) d4 + (,ru* +ff)o. _ h t rr:_ h ) =,

@

-4llr

As rwtytrpo

Page 6: #,r).ricotti/NEWWEB/teaching/ASTR... · 2015. 2. 28. · ob4tleD* 4 Op eqruDqt d rv,il."; /+r- C.)* ry W)L oa.o14/ fu tatt-,< ql% that Che tlrt 6oryl ?2./ wll fu AaVor.at So, n*tm?

@ffiffi#",ffi;97ff"2*@'frffiifi;;^'-,tr i',^r,eq {"-', tr',a* r,lt'n u+

Ae*B* e*t -r* arr L-> ,p a"rat to il",fi*, bto'*uflt

Vtal Olra-a"firr;A e4/,rfi"-, tur a qw/afu,'latl{l"arc vlltf bz a-f61'lile rail'6iiA.40^/tLe q/il*at* /i-fg Lr.*r a fffi^ rca/L htTJL

(9 lnilr^A ocwz-Aa;,tzz. E@ u ful,at< ^ ft= o..rz"+ (,rt+#,lfe - fi,ttC-h) =otb tu)=o, KF)=[3,*(c*+ff)6 k&tr-h)

lAr qra* O* :

t(f)

-+(Gl*,)

W^,f,IW 84,,t",'t tu +qr=O l',.*r En rctU 4 hv( ,q 4

ft,tsc-''^,) > o:> A _-. Zffrq,

u a d,z-4

Page 7: #,r).ricotti/NEWWEB/teaching/ASTR... · 2015. 2. 28. · ob4tleD* 4 Op eqruDqt d rv,il."; /+r- C.)* ry W)L oa.o14/ fu tatt-,< ql% that Che tlrt 6oryl ?2./ wll fu AaVor.at So, n*tm?

11^^M. i4 fu b,ur')r, c*/ w w-rk (tz. S4l:*)g"^4^e dp#rd E'r';D,.,h fi A9 A'f7ac,nt

"41',t*1 "

"-il/;"ri; q{1^v""F'l'+ 'l"L*^% N,tY^e a,rAwut *P drt/e ry /'*' tU sA';")

ort' ; a/rr^h/ 6P lt' "

@