THE ORBITS OF THE EIGHT PRINCIPAL PLANETS. 



21 



Computation of D z . 



HIBUZl=f— 3.4142091000.0+1.7924122001 

 — [a7T][T77]|T7T]-^[4T5]= —0.0000872187.0+0.0002412688 

 — FTTl(T^npTT|^[TTT| = —0.0044108379.0+0.0028580:329 

 + [II][l3EZK[ 7 2D = +0.0001762293 



+E3EI][I]I]-*-ES= +0.0001394486 



— 013 EH = —0.0638795429 



Sum of terms A=0 2 — 3.4187071566.0+1.7319476368 



Computation of B, B', and B". 



[777] =(y — 13".072173Q 

 — fx.»||»,»|-5-fTT¥l= —21 .5623951 

 Sum —B-^-b—g— 34 .6345681 ; 



\TJ] =0— 1 7". 55 2864500 

 — |T7?HT7¥1 -=-prT¥1= = — .014363307 

 Sum =B-±-b=g— 17 .567227807 ; 



[1711=0— li".31476820 



— |2,i||i,8)-HITi1= — 1-13649937 



Sum =B'-±b=g— 12 .45126757. 



Computation of C, C, C", ancZ (""". 



— [7^1 = 1 3".Q721 730— 

 + |o, a || 3 , s[ ^- r^7T|=10 .6356344 



Sum =23 .7078074—0 



log. | ED-^Cnm = [9 .176390]. 

 Therefore C'= { 23".7078074— g \ x 

 [9 .1763990J6'. 



— rrTl= 17.55286450—0 

 + [777] [777] ^G>77J = 0.02911978 



Sum = 17.58198428—0 



log. |ro^H-|TTT|{ = r 8.8694654] 

 Therefore C'= f 1 7".581 98428— g \ X 

 [8 .8694654]6'. * 



+ E3[IZK[l3=+ 0.170596 

 — pTT] =— 1.926868 



Sum ■ =C"^h'=— 1.756272 

 Therefore <7"=— [0.2445917]6'. 



+[oTT][T7r]^Q[TTJ = + 0.084146 

 — [777] =_. , 1.926868 



Sum = C m -i-V=— 1.842722 

 Therefore C"=— [0.2654598]5\ 



Compxdation of B lt B,, and B 3 . 

 RT^=//— 2". 7662522 

 — Haim-HIIlN — 2.0205458 

 Sum =B 1 Srb l =g— 4.7867980; 



[7771=0— 0".64795690 * 

 — E3[lZ]^E3= — 0.0316149937 

 Sum =B,^b 1 =zg— 0.6795718937; 



[7771=0— 18 .5962129 

 — Hn]EZ]^-[IZ]= — .069351012 

 Sum =B 3 -+-b 1 =g— 18.665563912. 



Computation of C lt C 2 , C 3 , ancZ (7 4 . 

 —[777]== 2'.7662522 —g 

 + |«,e||a,7| -s-r*7T1= 1 .598839244 



Sum = 4.365091444—7 



log. }RT71-r-r7771| = r9 .2840950] 

 Therefore C x = \ 4".365091444— g \ x 

 [9. 2840950] b,. 



—[7771= 0.6479569 —g 

 + [J7J][77jg^[J7jrj= ; 0.0399536996 



Sum = .6879105996— g 



log- IEZD-E3! = [9 -1824311] 

 Therefore C 3 = j 0".6879105996— g j X 

 [9 .1824311]^. 



E3EI]-II3=+ 0.01333975 

 —[777] =— 4.835390 



Sum =C y 3 -f-Z> 2 =— 4.822050 

 Therefore C s =— [0.6832317]^. 



Q3QZ]-[IZ]=+ 0.01055562 

 —[777] =— 4.835390 



Sum = C i -^-b i =— 4.8248344 

 Therefore C t =— [0.6834824]6... 



