THE ORBITS OF THE EIGHT PRINCIPAL PLANETS. 



For the root g t , we get, 







g i =0".G 1859008; 







N t =+ ' 0.1213314iV 4 ' r 



log 



9.0839733 



NJ =+ 0.1844663iV/ r 





9.2659172 



iV," =+ 0.2137640iV/ F 



u 



9.3299345 



N? =+ 0.3456726iV7 r 



(C 



9.5386650 



NJ =4- 1.12569W 



" 



0.0514222 



iV 4 F '=4- 24.589772*^ 



« 



1.39075-16 



iV t m ==-j-159.0425iVi 7r 



u 



2.2015132 



For the root g & , we get, 



^=2*. 7369612; 



K 



=+ 0.29196222V,"' 



log 



9.4653267 ; 



w 



=+ 0.2861 383 2V 6 " 



U 



9.4565760; 



n: 



= 4- 0.29970592^" 



U 



9.4766953 ; 



W 



=4- 0.39935962V 5 " 



" 



9.6013642; 



NJ 



=-f 0.90828302V 5 " 



" 



9.9582212; 



N b Y1 



= 4-15.327062V 5 " 



" 



1.1854589; 



N & "'=- - 1.494938^ 



cc 



0.1746230m 



For the root g 6 , we get, 



<7 =3".7233071 ; 



N =4-0.56270432V 6 " log. 9.7502802 



2V ' =4-0.38247022V 6 " " 9.5825976 



N» = 4-0.37673872^" « 9.5760403 



2V '" =4-0.43467982^"" « 9.6381695 



2V 6 F =4-0.78874842V 6 " « 9.8969386 



2V 8 F/ = — 1.0445372V 6 F/ « 0.0189238m 



2V F/ =4-0.033097022V 6 " " 8.5197888. 



For the root </ 7 , we get, 



# 7 =22".6365781 ; 

 N 7 =— 0.0061419892V/ 7 log. 



2V 7 ' =4-0.019152362V/ r 

 2V 7 " =— 0.15135932V/ F 

 2V T '" =— 0.96583382V/ F 

 2V 7 F = — 3.1281462V/ F 

 2V 7 FJ =4-0.11587902V/ F 

 2V 7 F "=4-0.0087730142V/ F 



7.7883092m 

 8.2822223 ; 

 9.1800092/? 

 9.9849024m 

 0.4952871w 

 9.0640050 ; 

 7.9431488. 



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



must also add the logarithm of (14- l u /r ) to those of ~ 



^ T h'\ and J^T, in 

 n a n a 



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



