THE ORBITS OF THE EIGHT PRINCIPAL PLANETS. 



127 



E = [0.0019270]6"; 



JE'= {0+22.6010814}[8.9723624]&"; 



E'"= [1.0228430J&"; 

 F =+[8.1679376]6'"; 



F"= {,7+14.680729^ [0.7927855]Z/" ; 

 J""= !$r+34. 7402239 } [9.6907241>'" ; 



: {,7+4.5202263 } &,; B.>=\g+ 0.71245534^,; ) 

 ^=1^+18.8176739 }&,; J 



C,= {0+4. 13299,21 1 [9.5433087]6 2 ; ] 

 C 2 = j7+0. 7307293 j [9.434971 1]6 2 ; 

 C 3 =+[0.8644527]5 2 ; 



1 



S ^+39.7657436 } [8.7437718]& 3 ; 

 \g-\- 0.6486324 } [0.7242832]6 3 ; 

 [0.9647509]& 3 ; 



j/; = 



[0.3564628]5 4 ; 



\g-\- 2.7805511 }[1.5514854]6 4 ; 

 _j^_)_45.7636454j[9.4626364]6 4 . 



(447) 



(448) 



(449) 

 (450) 



(451) 



(452) 



^+47.9724987.<f+787.7904009./ ) , 45g 



+5093.460923^+11190.32489 j" 



^+29.5232934.^+95.0893749.^ ) , 



+51.171764.^ + 0.538790 j " 



The values of 6, V, b", and V" are given by equations (405) ; and the values of 

 J t , 6 2 , & 3 , and & 4 are given by equations (406), by merely multiplying the coefficients 

 of JVby l+j"=1.05. 



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



g = 5". 1662610, g,= 0".0107428, 



9l = 6 .6253960, g,= .6630168, 



2 = 17 .5129033, 9*= 2.9169739, 



g 3 = 18 .6679386, flf 7 = 25 .9325598. 



