THE ORBITS OF THE EIGHT PRINCIPAL PLANETS. 



109 



F =+[8.1679370]//"; 



F'=— [9.1453586]& w ; 



F"=— {£+14.604131 j [0.7927855]//'; 



^=—1^+34.3886945 \ [9.690T241]ff w ; 



B l =\g+4.5202220\b 1 ; B a =\g-\- 0.7124545 j^ ; ) 



5 s ={flr+18.8176237J6,; j 



d=— |<jr+4.1329878|[9.5433087]6 2 ; 1 

 C 2 =— |V+0.7307284J[9:4349711]6 a ; 



C 3 =+[6.8644527]Z> 2 ; 

 G,=+[0.8654649]6 2 ; 



E x =— [8:3317448]6 8 ; 1 



E 2 =— { </+39.7656934 1 [8. 743771 8]^ ; ! 



E s =—\g-\- 0.6486315 j[0.7242832]6 3 ; j 



E i =— [0.9647514]i 3 ; j 



1 



-b =j 1.6028375 



-V = \ 4.2028443 



-//': 



7.0682646 



14.659896 



(400) 



(401) 



(402) 



(403) 



27i=+[7.7244692]& 4 ; 



F 2 =— [0.3564628]5 4 ; 



F 3 =— \g-\- 2.7805468 ][1.5514854]6 4 ; j 



F t =— {#+45.7635956 j j[9.4626364]& 4 . 



We shall also have 



. . [0.2048895] jJV"+[8.8879781]JV r 

 +[7.1246469] A T "+[6.6629969]A rr "; 

 . . [0.6235433] j iV /r +[9. 2986071]^ 

 + [7.5327484] ^™+[7.0706089]A rr "; 

 . . [0.8493128] jA T/r +[9.5139049]A rr 

 +[7.7447989] JV"+[7.2820328]iV r "; 

 . . [1.1661309] j A T/r +[9.8003037]A TF 

 +[8.0220791] A rr/ +[7.5575701]A T,V/ . 



.... [95.9740497] } iV +[7.6245464]^' 

 +[ 7.9450513] ^"+[7.4917417]^" 

 . . [95.0493193] j AT +[6.6917912]^' 

 +[ 7.0018244] AT+[6.5180955]tf" 

 . . [93.9862386] } iV+[5.6261830]tf' 

 +[ 5.9329689] ^"+[5.4401214]^" 

 . . [93.3046628] jJV +[4.9441 177]iV 

 +[ 5.2502770] JV»+[4. 7556866] A™ 



(404) 



> (405) 



-6 1 = { 0.000094200 



—b 2 = \ 0.0000 11 2026 



i 0.00000096881 



-J 4 = { 0.00000020167 



(406) 



4. If we now suppose the second members of equations (369) and (370) to be 

 equal to nothing, we shall obtain the following values of g, g } , g 2 , &c. 



g=— 5".1223003, g 4 =— 0".01045922, 



9l =— 6 .5863879, g b =— .66298299, 



#,= — 17.3924594, g 6 =— 2.91695653, 



3 =— 18 .4089138, </ 7 =— 25 .93239866. 



(407) 



