THE ORBITS OF THE EIGHT PRINCIPAL PLANETS. 



85 



E =+[9.6231944]Z>"; 



E = {24.1516242 — <7J[8.5847028]Z>"; 



E"= {17.55466226— # J [9.6375865J6"; 



£'":=+[0.9518913]6"; 



F =— [7.6499091]i'" ; 



F =+[8.9577383]#"; 



F' = { 14.01407953— # j [0.8407439]Z»"' ; 



F'"= {37.3396847 — ^|[9.4809266]6'"; 



B,=\g— 4.88782529^,; B,=\g— 0.692627293(5, ; J 



5,= ^— 18.679478012 1 6, 



d= {4.445033406 — g\ [9. 2840950] J 2 ; 1 



C 2 = {0.7009659996— </j[9.1824311J6 2 ; 



C 3 =— [0.6832317]Z> 2 ; 

 C 4 =— [0.6834824]5 2 ; 



# 1 =+[7.8479616]& s ; 



F 2 = {43.7484614 — g\ [8.201761 8]6 8 



£3= { 0.661059519— g J [0.7610455]6 3 



F 4 =+[1.0867545]Z> 3 ; 



I 



F 1 =— [7.0339474]6 4 ; 

 F a =+[0.2724895]6 4 ; 



F 3 = { 2.77088358— g \ [1.7737962]fc 4 ; 

 ir 4 = {50.3788970 — «/}[9.1128486]6 4 ; J 



(336) 



(337) 



(338) 



(339) 



(340) 



(341) 



r/-47.5111025.r/ +784.56174052.^1 y W342) 



—5224.66611233.(7+11983.3131284 J «»»»Z»*w> V ; 



# 4 — 29.5535550.fl 3 +173.33949329.fl 2 ) , m ox 



—325.77538456.(7+143.38934238 J ~ ^ 4 ' * M Zn Zl) ' ( * '' 



The values of &„ 5 2 , & 3 , and 6 4 are given by equations (119); and the values of 

 b, b', b", and b'" are given by equations (118), by simply adding log. (1+^")= 

 [0.0211893], to the coefficients of N TI . 



Putting equations (342) and (343), equal to nothing, they will give, 



g= 5".46378145 

 g l= = 7.24790553 

 j7 2 =17 .01456031 

 g 3 =\l .78485521 



g,= 0".628004507 ; 

 g s = 2.72658456; 

 g 6 = 3.72632806; 

 gr 7 =22 .47263787. 



