THE ORBITS OF THE EIGUT PRINCIPAL PLANETS. 



69 



For the root <; 4 , we get, 



r/ 4 =0".6 1669 170; 

 JV 4 =+ 0.1217372^'" 



N>" =+ 0.2150961^V 4 /F 

 N" =+ 0.345612iV/ F 

 NJ =+ 1.128136iV 4 7 

 ^4"=+ 24.51803A7 



nr 



'IV 



For the root # 5 , we get, 



#,=2".7278184 ; 

 JV 5 =+ 0.29()3833^" 6 /F 

 JV 5 ' =+ 0.2 

 N b " =+ 0.2 



5 " =+ 0. 



'= 1.500545^" 



For the root y ti , we get, 



^ i =3''.7186222; 



; =--0.3754068JV 6 /r 

 f =-j-0.4351473^ 6 /ir 

 S =-]-0.7902211JV 6 JF 

 6"= 1.0372986We /F 



For the root </ 7 , we get, 



N, = 0.00561240^/ F 

 Nj' =+0.01444352^ 

 N 7 " = 0.1296412^/ F 

 N,'" = 0.967188A 7 / F 

 N 7 T = 3.091 169iV/ F 



log. 9.0854233 ; 



" 9.2678704; 



" 9.3326326 ; 



" 9.5385887; 



" 0.0523616; 



" 1.3894856; 



" 2.1986843. 



log. 9.4629717; 



" 9.4561671 ; n 



" 9.4770622; 



" 9.6015396; 



" 9.9593780; 



" 1.1855820;] 



" 0.1762490?. 



log. 9.7456734; 



" 9.5804642; 



" 9.5745022; 



" 9.6386363 ; 



" 9.8977486; 



" 0.0159038 



" 8.5152447. 



log. 7.7491486/1; 



" 8.1596730; 



" 9.1127430; 



" 9.9855109n ; 



" 0.4901228n; 



" 9.0623510; 



" 7.9408170. 



33. These numbers are now to be substituted in equations (134) and (135). We 



must also add the logarithm of (2=1+^") to those of _" 1 "" 7 "' V, and T, in 



n'"(t'" n" ri" n m a'" 



order to obtain the numbers which are to be used in this computation. 



