THE ORBITS OF THE EIGHT. PRINCIPAL PLANETS. 147 



E = [9.9807377]i" ; 

 E> = ^+22.2545242}[8.9723624]6" ; 

 E" = j#+17.5731585 } [9.7501 125]6"; 

 E"'= [1.0016537J6". 



F =+[8.1679376]&'"; 

 F 1 = [9.1453586]6'" ; 

 ^=1^+14.6122941 [0.7927855]fc" ; ; 

 F"'= J0+34.3936667 } [9.6907241]i" ; . 



^={^+4.5551100(6,; 2 =j#+ 0.7176484}^; ) 



,= {0+18.823159016!. J 



C,= j#+4.1678758 } [9.5433087]i a ; 

 C7 2 = {^+0.7359221 } [9.434971 1]6 2 . 

 (7 3 =+[0.8751766]6 2 ; 

 (7 4 =+[0.8761888]& 2 . 



[8.3317448]S 3 ; 

 1/7+40.2949304 j [8. 7437718]& 3 ; 



g+ 0.6538252 }[0.7242832]S 3 ; 



[0.96475 14]6 3 . 



^= 



E 3 = 



F 2 = [0.3564628]6 4 ; 



Ff=\g+ 2.8154348 }[1.5514854]& 4 ; 



F i = j^+46.44278 } [9.4626364]6 4 . 



(495) 



(496) 



(497) 



(498) 



(499) 



(500) 



/+47.5409132./+774.11613432./) fil 



+4966.568399.^+10830.80683 j " 



4 +29.7477885./ +96.8557913.0 2 ) , , 



+52.S77272./ + 0.536670 } =( *" ^ * ^ 



The values of 6 19 Z> 2 , & 3 , and 6 4 are given by equations (406); and the values of 

 b, V, b", and V" are given by equations (405), by merely multiplying the coefficients 

 of ^"by l+(* r = 1.025. 



If we now put equations (501) and (502) equal to nothing, they will give, 



g = 5".1255241 ; #4= 0".0104061 ; 



gi = 6 .5914740 ; ff&= .6688791 ; 



#,=17.4063959; g & = 2.9523070; 



ff 3 = 18.4175192; ^ 7 = 26 .1161961. 



