THE ORBITS OP THE EIGHT PRINCIPAL PLANETS. 



51 



For the root r/ l5 we get, 



^=7".2528745 ; 

 W = 0.6557708JV, 

 Nf = 0.-5021007JV; 

 W = 0.08380783JV; 

 N^ =+0.0003520860^ 

 NS =+0.0003598465^ 

 W =0.00009068952^ 

 JV; r/ '= 0.0000037120502V; 



For the root g 2 , we get, 



#F=17".2008675; 

 NJ 7.2870812^ 2 

 N," =+ 7.52192987V2 

 TV/' =+21.345970^ 2 

 N 2 ' r = 0.0008132064^ 2 

 N, r = 0.0054553222^ 2 

 ^ 2 "=+ 0.0003281043W 2 

 ^ 2 "' =+ 0.00002415603^2 



For the root g 3 , we get, 



N 3 ' = 7.829047V 3 



7V 3 " =+ 9.673137V 3 

 TV/' = 33.378157V 3 



7V/ r =+ 0.0003476427^3 



N 3 T =+ 0.004032944^, 



N 3 "= 0.0002267157V3 



NS"= 0.00001681933JV 3 



For the root g 4 , we get, 



^ 4 =0".61668534; 

 N 4 =+ 0.1207828^"" 

 TV,' =+ 0.18354447V/ r 

 N 4 " =+ 0.21197707V 4 /r 

 7V 4 '" =+ 0.34498807V 4 /r 



For the root g b , we get, 



# 6 =2 7 .7276716; 

 7V 6 =+ 0.28574457V/ 



=+ 



0.2850941JV/ 



JV 6 " =+ 0.2978305JV 5 /r 

 y," =+ 0.3989201JV/" 

 JV 6 r =+ 0.9103906^" 

 ^"=+15.80032^;" 



log. 99.8167520n; 

 " 99.7007908n; 



" 96.5466488 ; 



" 96.5561173; 



" 95.9575571; 



" 94.5696138/1. 



log. 0.8625536M ; 



" 0.8763293; 



" 1.3293159; 



" 96.9102008n; 



" 97.7368204/z ; 



" 96.5160119; 



" 95.3830256. 



log. 0.8937084ra; 



" 0.9855672; 



" 1.5234623n ; 



96.5411317; 



" 97.6056222; 



" 96.3554809; 



" 95.2258087. 



log. 9.0820049 ; 



" 9.2637411; 



" 9.3262888; 



" 9.5378038; 



" 0.0522431 ; 



1.3891867; 



" 2.1983761. 



log. 9.4559779 ; 



9.4549882 ; 



" 9.4739691 ; 



9.6008859 ; 



" 9.9592278; 



1.1847004; 



" 0.1754251n. 



