THE ORBITS OF THE EIGHT PRINCIPAL PLANETS. 



159 



For the root g & , we get, 



g b =— 0".6634935, 



N b =+1.23293^" 

 JV 6 ' = + 1.13171i\y r 

 iV 5 " =+1.10855iV 5 ' r 

 N 6 m =+1.04961^ 

 N b r =+0.965270iV 6 ' 

 NJ'=— 0.921756iV/ 

 K VII =— 8.94419iV fi ' r 



log. 0.0909496, 



" 0.0537360, 



" 0.0447544, 



" 0.0210270, 



" 9.9846490, 



" 9.9646159/i, 



" 0.9515409«. 



the root g 6 , 



we get, 



9i 



=— 2".9612185, 



N 6 



= + 



3.66750iV " 



W 



=+ 



2.09390^" 



w 



=+ 



1. 87228 JV;" 



W" 



=+ 



1. 32235 JV a " 



N/ 



=+ 



0.813392iV 6 



N™ 



=— 20.4503iV 6 /r 



iV 6 ™ 



=+ 



2.15783JV a " 



log. 0.5643695, 



" 0.3209559, 



" 0.2723698, 



" 0.1213462, 



" 9.9102996, 



« 1.3106998m, 



" 0.3340172. 



For the root g 7 , we get, 



g 7 =— 25".9401904, 

 JV 7 =— 0.042064JV/ F 

 iV 7 ' =— 0.0466092iV/ T 

 JV 7 " = — 0.43269 liV/ r 

 Nj m =— 1.46720iV/ r 

 N, y =— 2.491 15JV/ F 

 iV 7 r/ =+0.109524iV/ r 

 JV 7 r/ =+0.0122518iVy 



log. 8.6239109», 



" 8.6684721», 



" 9.636 1780», 



" 0.1664891n, 



" 0.3963997?*, 



« 9.0395107, 



" 8.0882005. 



27. If we now substitute these values in equations (408) and (409) Ave shall 

 obtain the following quantities : — 



For the root g=— 5". 126 23 27, we get, 



x=+ 



611711 

 10 ao 



y=+ 



1586934.1 



14045156 



Whence (3=21° 4' 40".0; log 

 N =+0.1210893 

 N' =+0.0148664 

 N" =+0.0106498 

 N'" =+0.0021278 



10 20 ' 10 20 



iV=9.0831058. 



#'" =— 0.00002519; 

 N T =—0.00003202: 

 N" =+0.00002858; 

 j\r w =+0.0000007462. 



