THE ORBITS OF THE EIGHT PRINCIPAL PLANETS. 



119 



For the root g s , we get, 



fh = — 18". 540625, 

 JV/ =— 6.10629 N 6 

 N a " =+6.478482V a 

 N 3 '" =— 8.6537642V 8 

 N 3 ' T = — 0.0000396789 N 3 

 N 3 V =— 0.000582834iV a 

 JV 3 r/ =+0.00004989S7iV 3 

 JV J r "=-|-0.00000572183iV 3 



For the root ,^=0", we get, 



For the root ff b , we get, 



(j b =— 0".661636, 

 N b =+1.235046iV 6 /r 

 N & ' =+1.135283^ 

 N b " =+1.110556iV 6 ' r 

 N* =+1.049956^" 

 JV 5 r =4-0.965323A 7 / r 

 N™ =— 0.938071iV 6 /r 

 iV 6 r// =— 9.829980iV/ r 



For the root g 6 , we get, 



i/ 6 =-2".916041, 

 iV 6 = + 3.695208i^/ r 

 JV ' =+ 2.162242^" 

 iV " =-j- 1.91106iV 6 ' F 

 iV 6 '" =+ 1. 327425 JV 6 " 

 N e 7 =-f 0.816341iV G " 

 iV 6 "=— 20.12041JV ' r 

 iV G r/ =+ 2.162624iV 6 ' r 



log. 0.7857773m, 



" 0.8114730, 



" 0.9372052m, 



" 5.5985600m, 



" 6. 7655150m, 



" 5.6980890, 



" 4.7575350. 



tof 



0.0916830, 



0.0551040, 



0.0455402, 



0.0211710, 



9.9846725, 



9.9722356m, 



0.9925526m. 



log. 0.5676388, 



" 0.3349042, 



" 0.2812740, 



" 0.1230098, 



" 9.9118716, 



" 1.3036368m, 



" 0.3349790. 



For the root g-, we get, 



cj 7 =— 25".934626, 

 JV 7 =— 0.04212302V/ 1 ' 

 Nj =— 0.0455785 A/ r 

 N." =—0.4351 129 X/ T 

 Nj m = — 1.469776iVV r 

 N 7 r =— 2.490698iV/ r 

 2V 7 "=+0.10808972f/ r 

 2V 7 r "=+0.01225267i\y 



log. 8.6245191m, 



" 8.6587603m, 



" 9.6386020m, 



" 0.1672216m, 



" 0.3963210m, 



" 9.0337842, 



" 8.0882305. 



