THE ORBITS OF THE EIGHT PRINCIPAL PLANETS. 127 



E =— [0.0019270]6"; 

 E'=— |0+22.6O1O814}[8.9723624]Z>"; 

 E"=— |(/+17.6451959J[9.7501125]i"; 

 E'"=— [1.0228430J6"; 



F =+[8.1679376]Z/"; 

 F' =— [9.1453586]//"; 

 F"=— {0+14.680729 i 



[0.7927855]// 



F m = — \g+M. 7402239 j [9.6907241]//"; j 



B x = 1*7+4.5202263 j />,; B a ={^+ 0.71245534^,; 

 5 3 = ^+18.8176739^,; 



C,=— {0+4. 1329921 1 [9.5433087]/>,; 

 C 2 =— {tf+0.7307293} [9.434971 l]/> 2 ; 

 C s =+[0.8644527]6 a j 

 C t =+[0.8654649]6 2 ; 



^,=—[8.3317448]^; 

 E a =— {0+39.7657436 J [8.7437718]/> 3 ; 

 E 3 =—\g-\- 0.6486324 }[0.7242832]/> 3 ; 

 E i =— [0.9617509]/> 3 ; 



2?l=+[7.7244692]6 4 ; 

 2?a=— [0.3564628]& 4 ; 



F & =—\g-\- 2.7805511 } [1.5514854]6 4 ; 

 F i =— { 0+45.7636454 } [9.4626364]6 4 . 



(447) 



(448) 



(449) 

 (450) 



(451) 



(452) 



0*+47.9724987.0*+787.79O4OO9.0*- 1 , * (453) 



+5093.4609230+11190.32489 j ^'^'^-'^ 



^+29.523293V+95.O893749.0 2 I =(z4 ~ 6 ~ 6 ~ 7 ). (454) 

 +51.171764.0 + 0.538790 , j ^'* 6 '* 6 '* 7; <> 



The values of b, V, b", and b'" arc given by equations (405) ; and the values of 

 6„ 6 2 , 6 S , and 6 4 are given by equations (406), by merely multiplying the coefficients 

 of N" by 1+ju"=1.05. 



If we put the equations (453) and (454) equal to nothing, they will give 

 g = _ 5".1662610, 4 =- 0".0107428, 



0l =- 6 .6253960, &=- .6630168, 



^=-17 .5129033, 6 =- 2.9169739, 



3 =— 18 .6679386, 07=— 25 .9325598. 



