THE ORBITS OF THE EIGHT PRINCIPAL PLANETS. 



27 



15. We shall now give the computation of 2V, N", &c, for the root g. Using 



,/=5".46370645, we get 2 =29.852O882. 



we get the following values of A, A', &c. 



A=+ 

 A>=+ 

 AT=+ 



A=- 

 A=- 



3.425636 

 1.390983 

 0.5599336 

 3.9055338 

 18.472552 



J 3 =— 30.285419 



log. 0.5347412; 

 " 0.1433218; 

 " 9.7481365; 

 " 0.5916804m; 

 « 1.2665269ra; 

 " 1.4812336m; 



Substituting these in equations (98-109), 

 D, D, &c. 



D =+468.78628 



27=^-385.91263 



2)"= +103. 10436 



A=— 31.473166 



£,=— 214.70366 



Z) 3 =+ 12.899760 



log. 2.6709749 ; 



" 2.5864890; 



" 2.0132764; 



" 1.4979404m: 



" 2. 3318394m; 



" 1.1105816. 



Substituting A, A, A", D, B, D", in equations (84-86), and neglecting/,/', &c, 

 we shall get the following computation of N',N", and 2V". 



Computation of 2V' & N". 



Comjmta/ion of 2V & 2V". 



( 'omputation 



of N" & 2V". 



constant log. 0.8236010 



constant log 



1.1305346 



constant log 



. 0.3624135 



A " 0.5347412 



A' 



0.1433218 



A 



0.1433218 



1-hD « 7.3290251 



1-kD' " 



7.4135110 



1^-2/ " 



7.9867236 



A" " 9.7481365 



A" 



9.7481365 



A 



0.5347412 



constant " 1.4152972 



constant " 



2V 



0.5190734 



constant " 



2V" " 



9.1592561 



2V " 8.6873673 



8.6873674 



8.4924589 



2V" " 8.4924588 



2V" " 



7.6807209 



N» « 



7.6807209 



The computation of these quantities is thus seen to be correct, since independent 

 formula; give the same values. We may now use these values of 2V, 2V", and 2V", 

 in equations (119), and we shall obtain the following values of b lt b 2 , b 3 , and b 4 . 



^=+0.0001 151 7862V 

 Z> 2 =+0.0000072346092V 

 ^=-J-°- 0000()0 3080273iv' 

 & 4 =+0.000000040879182V 



Equations (114-117) will now give, 



2? 1 =+0.000077965382V 

 £ 2 =+0.00055103002V 

 £3=— 0.0015205712V 

 (7 1= —0.00000 1528822V 

 C 2 =— 0.00000525886iV 

 C 3 =— 0.00003488562V 

 C\=— 0.00003490582V 

 2^=+0.0000000020672V 

 £' 2 =+0.0000001875942V 

 E z =— 0.000008556462V 

 2? 4 =+0.000003582282V 

 F 1 =— 0.00000000004422V 

 2;=+0.0000000765582V 

 F a =— 0.000006539462V 

 2;=+0.0000002380182V 



l0£ 



log. 



96.0613718; 

 94.8594150; 

 93.4885892; 

 92.6115022; 



95.8919018; 



96.7411752; 



97.1820068m; 



94.1843555m; 



94.7208918m; 



95.5426467m ; 



95.5428974m; 



91.3153615; 



93.2732190 ; 



94.9322943m ; 



94.5541593; 



89.6454496m ; 



92.8839917; 



94,8155417m ; 



93.3766095. 



