THE ORBITS OF THE EIGHT PRINCIPAL PLANETS. 



25 



Fundamental Equations 



A =^—40.22178322 . 

 A'=<f— 23.14584877 . 

 A"=g 2 — 18.02226398 . 

 A x =(f— 14.593776102 . 

 A 2 =g 2 — 10.00764523 . 

 A s =g 3 — 26.182948414 . 



D=g 2 — 47.859261067 . 

 jy=rf— 54.92149851 . 

 D'=(f— 31.56793789 . 

 D x =g*— 48.09963879 . 

 JD 2 =g 2 — 51.052893467 . 

 D z =g~— 3.4187071566. 



5= [ g— 34.6345681 \h; B' = \g— 17.567227807 ji; 1 

 £"={#— 12.4512675772J6; J 



0= [23.7078074 —g \ [9.1763990]/; ; 

 C = {17.58198428— g\ [8.8694654]*'; 

 C"=— [ 0.2445917]//; 

 C'=— [ 0.2654598]6'; 



/or /7<e Adopted Masses. 





#+193.3335643; 



( 98) 



#+ 98.0010178; 



( 99) 



.<7+ 69.17620526; 



(100) 



g-\- 45.97848654; 



(101) 



g-\- 6. 35419527; 



(102) 



g-\- 82.91843690; 



(103) 



p+ 700.423146 ; 



(104) 



,«7+656.135490; 



(105) 



g-\- 245.7302238; 



(106) 



#+201.477053; 



(107) 



#+ 34.3822734; 



(108) 



#+ 1.7319476368; 



(109) 



E =+[ 9.6231944]//' 

 E' = [24.1514537 —#} [8.5847028]//'; 

 E"= [17.55413616— ^[9.6375865]//'; 

 E m =+[ 0.9518913]//'; 



F =— [ 7.6499091]//"; 



F'=+[ 8.9577383]//"; 



F" = [14.01380173— ^[0.8407439]//'; 



F m — [37.3395142 —g \ [9.4809266]/-'"; 



^=^—4.7867980}^; B 2 =\g— 0.6795718937 }6 i; 

 B 3 =\g— 18.665563912 \b i; 



C 1 = [ 4.365091444 — ^|[9.2840950]5 2 ; 

 C 2 = [ 0.6879105996— <7}[9.1824311]6 2 ; 

 C 3 =— [ 0.6882317]5 2 ; 

 C 4 =— [ 0.6834824]/> 2 ; 



#i=+[ 7.8267723]6 3 ; 

 E 2 = [43.7345473 — </| [8.201 7618]ft 3 ; 

 E 3 = { 0.648004119— <jr}[0.7610455]6 a ; 

 #,=+[ 1.0655652]o 3 ; 



F 1 =— [ 7.0339474]Z> 4 ; 



-F 2 = + [ 0."2724895]/> 4 ; 



F 3 = [ 2.770663038— «/|[1.7737962]J 4 ; 



.F 4 = [50.3649829 — <7|[9.1128486]& 4 ; 



August, 1871. 



(110) 



(111) 



(112) 



(113) 



} (H4) 

 (115) 



(116) 



(117) 



