

THE ORBITS OP THE EIGHT PRINCIPAL PLANETS. 



139 



IV 



ir 



ir 



For the root g^ we get, 



&= 0".661664, 



27 6 =+1.22936827," 

 27,' =+1.12902577/' r 

 JV 6 " =+1.10586027/ r 

 27 5 '" ==+1.04915821?; 



27,' =+0.9653170iV 5 

 27 6 r/ = 0.9382057JV 5 

 27 5 r/J = 9.83088227/ 7 



For the root # U5 we get, 



# 6 =2".9 16095, 

 N 6 =+ 3.479802^V 6 /r 

 27 a ' =+ 2.020979^" 

 jV a " = ^_ i. 810077 N a ' v 



N 6 r =+ 0.816421527," 

 27," =20.1157427," 



27. m =+ 2.15699527/ 7 



log. 0.0896819, 



" 0.0527036, 



" 0.0436997, 



" 0.0208410, 



" 9.9846700, 



" 9.9722980, 



" 0.9925925n. 



log. 0.5415546, 



" 0.3055617, 



" 0.2576970, 



" 0.1168248, 



" 9.9119144, 



" 1.3035360M, 



" 0.3348492. 



For the root r/ 7 , we get, 



^ 7 = 25".933517, 

 JV 7 = 0.0409446027 

 N,' = 0.048154562f 

 Nj" = 0.4073554JV 7 

 N 7 '" = 1.4730382V 

 N, r = 2.490000JV 



17 

 IV 

 IV 

 IV 

 IV 



log. 8.6121966??,, 



" 8.6826374, 



" 9.6099734, 



" 0.1682137%, 



" 0.3961992n, 



" 9.0385844, 



" 8.0880201. 



19. If we now substitute these values in equations (408) and (409), we shall 

 obtain the following quantities: 

 For the root g= 5". 1867 18, we get, 

 . 6.16813 v 



x =-{ ins ^; y=- 



15.530471 134.20637 ._ 



-N; z= ^r, N 2 . 



10 15 10 15 



Whence /3=21 39' 31".5 ; and log. JV=9.0952088. 



N =+0.124511, #"=0.000024449, 



N' =+0.014194, N r =0.000031240, 



N" =+0.0099895, N VI =+0.000026642, 



N'" =+0.0020212, # m =+0.00000078455. 



