THE ORBITS OF THE EIGHT PRINCIPAL PLANET 8. 



43 



The following calculation of AA must serve as an example for the computation 

 of all similar quantities. 



0.06093580.0+ 0.33942800 

 0.02543896.</+ 0.33254241 

 + 0.00258360 

 0.28269800 

 0.95725201 



___ 



Sum of last three terms of A X [*= + 



Sum of terms = &A= - 0.08637476.^+ 



Computed A=tf 40.22178322.^+193.3335643 



Corrected A=g z 40.30815798.^+194.2908163. 



If we proceed in like manner with A', A", &c., we shall obtain the following 



Q 



system of fundamental equations for ^=+^. 



<Q 



3 1 



Fundamental Equations for fi=^ ; or for tJie case where wi= 



1946300.4 

 (170) 

 (171) 

 (172) 

 (173) 

 (174) 

 (175) 



(176) 

 (177) 

 (178) 

 (179) 

 (180) 

 (181) 



(182) 



(183) 



(184) 



F = [7.6499091]&'"; 



*"=+[8.9577383]&'"; (185) 



F" = \ 14.07473753 # } [0.8407439]&'" ; 



F a = J37.6032551 /j[9.4809266]ft'". 



t = 1^4.7867994 1 6,; Bf=\g 0.6795721937 16, ;) (lg6) 



3=^18.665580712 (Bj; j 



A =/ 40.30815798.0 +194.2908163 ; 

 A'=g* 23. 17005 142./ + 98.2867801; 

 A"=g* 18.28711570.^ + 70.37498708; 

 Ai=f 14.59391880.<7 + 45.9791766; 

 A*=f 10.00778683.-7 + 6.35429409 ; 

 A 3 =f 26.183106514.(/ + 82.92120064; 



D =/_48 .18393767 .g +708.16361; 

 Df 55.19689421.0 + 661 - 210840 ; 

 D"=f 31.64052859.0 + 24 6.9639388 ; 

 A=0" 48.09965699.0 +201.477187; 

 D 2 =f 51.05291057.0 + 34.3823000; 

 D 3 =y 2 3.4187088566.0+ 1.7319493752. 



* = j^_34.6955039 } 6 ; B = {^-17".578882777 } b : 



S>= j</ 12 ..71500846 \b : 



C = ^23.7687432 ^^[9.1763990]&' ; 

 C' = { 17.59363918 #j[8.8694654]6'; 

 C'= [0. 24459 17]fe'; 

 C'"= [0.2654598J6'. 



E =+[9.6231944]6"; 



E'= J24.4151946 ^|[8.5847028]6"; 



E"= \ 17.56579106 /j[9.6375865]6"; 



