THE ORBITS OF THE EIGHT PRINCIPAL PLANETS. 



157 



E =—[9.9807377]//'; 

 E'=— {^+22.2496697 j [8.9723624]#" 

 E" =—{£+17.5577346 } [9.7501125]^ 

 E m =— [1.0016537]6". 



F =+[8.1679376]//"; 



F'=— [9.1453586]//"; 



F" = — 1^+14.604322| [0.7927855]//" 



F'"—— }^+34.3888122|[9.6907241]6'" 



£,= {0+4.5635477^,; B 2 =\g+ 0.7189043 } h Y ; \ 



J B 3 =J0+18.8244977j/> 1 . j 



Ci=— {0+4.1763135 } [9.5433087]/;.; 



C, 



{0+0.73900559 j [9.434971 !]&.; 



C7 8 =+[0.8644527]& 2 ; 



C 4 =+[0.8654649]6 a . 



(519) 



(520) 



(521) 



(522) 



E 1 =— [8.3317448]6 8 ; 



E z =— {0+39.7725674 }[8.7437718]6 S ; 



E s =—\g-\- 0.64869894 1 [0.7242832]5 3 ; 



£,=— [0.9647514]/> 3 . 



(523) 



ir i= +[7.7658619]6 4 ; 



F % =— [0.3978555]5 4 ; 



F 3 =—\g+ 2.8238725 } [1.5514854]/> 4 ; 



jF 4= _ {0+45.770470 j [9.4626364]S 4 . 



(524) 



^+47.5107777^+773.1244605^1 

 +4956.921649.0+10802.60734 J ~^' #» * 2 ' **> ' <^J 



^+29.5753988.^+96.3534529^1 _ 



f 52.082669.^ +0.529879 J U^'* 6 '* 6 '*"- *> ~ J 



The values of J 15 b. 2 , b 3 , and S 4 are given by equations (406), and the values of 

 b, b\ b", and V" are given by equations (405), by merely multiplying the coefficients 

 of iV p "by 1+^=1.10. 



If we now put equations (525) and (526) equal to nothing, they will give 



(/,=— 5". 1223768 

 g. 2 = — 6 .5865075 

 3 =— 17 .3927801 

 g i =— 18 .4091132 



9i =— O".01037221 

 g b =— .66492499 

 g 6 =— 2.96207581 

 g 7 =— 25 .93802580, 



