THE ORBITS OF THE EIGHT PRINCIPAL PLANETS. 



147 



E =— [9.9807377J6"; 

 E'=— {^+22.2545242} [8.9723624]6" • 

 E"=— j^+17.5731585J [9.7501 125]6"; 

 E'"=— [1.0016537]6". 



^ =+[8.1679376]6'"; 



2?"=— [9.1453586J6'"; 



2^"=— 5*7+14.612294 j [0.7927855]6'"; 



F'"= — ^+34.3936667 } [9.6907241 }U". 



^=1*7+4.555110016,; i? a =b+ 0.7176484}6 i: ) 

 .B a ={0+18.823159OJ6 1 . | 



C,=— ^+4.1678758 1 [9.5433087]6 2 ; 

 C,= - 1^+0.7359221 1 [9.434971 1]6 2 . 

 (7 3 =+[0.8751766]6 2 ; 

 tf 4 =+[0.8761888]6 2 . 



E 1 =— [8.3317448]6 8 ; 

 # 2 =— [#+40.2949304 } [8.7437718]6 3 ; 

 E 3 =—\g+ 0.6538252 } [0.7242832]6 3 ; 

 E t =— [0.9647514]6 3 . 



iT 1= +[7.7244692]6 4 ; 



2^=— [0.3564628]6 4 ; 



i^=— {#+ 2.8154348 } [1.5514854]6 4 ; 



F i =— {V+46.44278} [9.4626364]6 4 . 



/+47.5409132./ +774.11613432.<7 2 1 , . 



+4966.568399.^+10830.80683 j **' **' * 2 ' * 3; ' 



/+29.7477S85./ +96.8557913./ 1 , * 



+52.577272.^7 + 0.536670 " j ~^ Xi ' X& ' * 6 ' %l) ' 



(495) 



(496) 



(497) 

 (498) 



(499) 



(500) 



(501) 



(502) 



The values of b u 6 2 , 6 3 , and 6 4 are given by equations (406) ; and the values of 

 6, 6', 6", and 6'" are given by equations (405), by merely multiplying the coefficients 

 of i^ F by 1+^=1.025. 



If we now put equations (501) and (502) equal to nothing, they will give, 

 g =— 5M255241 ; g>=— 0".0104061 



g x =— 6.5914740; 

 ^ 2 =— 17 .4063959; 

 #,=— 18.4175192; 



g 6 =— 0.6688791 

 g t =— 2.9523070 

 g,=— 26 .1161961. 



