THE ORBITS OP THE EIGHT PRINCIPAL PLANETS. 



75 



For the root g, we get, 



# 4 =0". 6 1859008; 

 jV 4 =-\- ( 

 N; =+ 0.1844663A7' 

 N! =+ 0.2137640iV 4 " 

 N" =+ 0.3456726JV 4 " 

 NJ =+ 1.1 25699 NI' Y 



ir 



V 



For the root </ 5 , we get, 



<7 5 =2".7369612; 

 N, =+ 0.2919622JV 5 /r 



JV 5 ' =+ 0.286 

 JV 5 " =+ 0.299 

 JV 5 '" =+ 0. 



N, r =-}- 0.9082830iV 5 / 

 ^"==+15.32706^," 



Ai"^ 1.494938^ 



For the root g a , we get, 



8 r =+0.7887484.y a r 



For the root </ 7 , we get, 



^ 7 =22".6365781 ; 

 N 7 =0.006141989^7'. 



N = 



0.1513593JV/ 



0.9658338JV/ 

 3.128146JV 7 /F 



log. 9.0839733 ; 



" 9.2659172; 



" 9.3299345; 



" 9.5386650; 



" 0.0514222; 



" 1.3907546; 



" 2.2015132. 



log. 9.4653267 ; 



" 9.4565760; 



" 9.4766953; 



" 9.6013642; 



" 9.9582212; 



" 1.1854589; 



" 0.1746230. 



log. 9.7502802; 



9.5825976; 



" 9.5760403; 



" 9.6381695 ; 



" -9.8969386; 



" 0.0189238ra; 



" 8.5197888. 



log. 7.7883092M; 



" 8.2822223 ; 



9.1 800092/z ; 



" 9.9849024; 



0.4952871; 



" 9.0640050 ; 



" 7.9431488. 



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



must also add the logarithm of (l-\-u' T ) to those of ,, .-vJi' 7 , and Z fr , in 



n a n a n a 



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



