THE ORBITS OF THE EIGHT PRINCIPAL PLANETS. 119 



For the root </ 3 , we get, 



8 = 18". 540625, 

 N 3 ' = 6.10629JV a 

 N," =+6.47848iV 3 

 N a " = 8.653764JV, 

 N 3 ir =0.0000396789^3 

 NS = 0.000582834 /V 3 

 N 3 n =+0.0000498987iV, 

 JV 3 r "=+0.00000572183JV s 



For the root # t =0", we get, 



log. 0.7857773ft, 



" 0.8114730, 



" 0.9372052, 



" 5.5985600w, 



" 6.7655450, 



" 5.6980890, 



" 4.7575350. 



For the root g. a , we get, 



g & = 0".661636, 



=+1. 049956 JV 6 / 



^ 9.829980JV/ 



For the root g, we get, 



<7 6 =-2".916041, 

 , =+ 3.695208iV 6 /r 

 6 ' =4- 2.162242^8^ 

 6 " =+ 1.91106JV 6 /F 

 J" =+ 1.327425^ 6 IV 

 6 r =+ 0.816341JV 6 r/ 



=+ 2.162624JV/ r 



For the root fa, we get, 



g,= 25".934626, 

 N 7 =0.0421 230^ 

 N,' =0.0455 785 A'/ r 

 ^ T " =0.4351 129 N 7 ir 

 NJ" = 1.469776JV/" 

 >/ = 2.490698JV 7 /r 



log. 0.0916830, 



" 0.0551040, 



" 0.0455402, 



" 0.0211710, 



" 9.9846725, 



" 9.9722356/j, 



" 0.9925526/z. 



log. 0.5676388, 



" 0.3349042, 



" 0.2812740, 



" 0.1230098, 



" 9.9118716, 



" 1.3036368w, 



" 0.3349790. 



log. 8.6245191 w, 



" 8.6587603, 



9.6386020, 



" 0.1672216, 



" 0.3963210H, 



" 9.0337842, 



8.0882305. 



