THE ORBITS OF THE EIGHT PRINCIPAL PLANETS. 157 



(519) 



(520) 



(521) 



(522) 



E = [9.9807377]fc"; 

 E' = {0+22.2496697 \ [8.9723624]i" ; 

 E* = {0+17.5577346 1[9.7501125]6"; 

 E m = [1.0016537]6". 



F =+[8.1679376]6'" ; 



I"= [9.1453586]Z>'" ; 



F"= {0+14.604322| [0.7927855]Z>'" ; 



F'" J0+34.3888122 ^[9.6907241]Z>"'. 



,= {0+4.5635477^,; 5 2 ={0+ 0.7189043(6, ;) 



B 8 = {04-18.8244977 K. J 



Ci= {0+4.1763135 j[9.5433087]6 2 ; 

 C z = {0+0.73900559 1[9.4349711]& 2 ; 

 C 3 =+[0.8644527]6 2 ; 

 (7 4 =+[0.8654649]6 2 . 



E l = [8.331 7448]6 3 ; 

 E 2 = {0+39.7725674 |[8.7437718]6 3 ; 

 E 3 =\g+ 0.64869894 *[0.7242832]& 3 ; 

 EI= [0.96475 14]6 3 . 



Jl=+[7.7658619]5 4 ; 

 ^i= [0.3978555]6 4 ; 



^ 3 ={0+ 2.8238725 } [1.5514854]6 4 ; 

 FI= {0+45.770470 j [9.4626364]& 4 . J 



^+47.5107777./+773.1244605y 1 

 +4956.921649.0+10802.60734 j " 



4 +29.5753988.0 3 +96.3534529.0 2 1 _ ( , 



f 52.082669.0 +0.529879 j = 



The values of 5 15 & 2 , J 3 , and 5 4 are given by equations (406), and the values of 

 i, 5', b", and b'" are given by equations (405), by merely multiplying the coefficients 



_ _ Yff i - - _ _ 



of N b 



(523) 



(524) 



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



1= _ 5".1223768; &= 0".01037221 ; 



<7 2 = 6 .5865075 ; g,= .66492499 ; 



^=17.3927801; flr,= 2.96207581; 



g l= 18 .4091132 ; <7 7 = 25 .93802580. 



