THE ORBITS OF THE EIGHT PRINCIPAL PLANETS. 



The solutions of equations (479-490) will now give the following values: 

 For the root g, we get, 



#=5". 153064, 

 N =+0.1198583^ 



N'" =+0.01695429JV 

 N IT =0.0002019713^ 

 N r = 0.0002567140JV 

 N" =+0.0002241425 tf 

 JV m =+0.0000063200772V 



143 



For the root g { , we get, 



gj == 6".635874, 

 JW =0.2841568^, 

 W = 0.2283353 JVi 

 N,'" = 0.04747286JVi 

 W =+0.000343187 JV, 

 NS =+0.0004843167^ 

 ^"=0.0002492740^ 

 N 1 T "= 0.0000151962^ 



For the root g z , we get, 



g,= 17".520779, 



W = 5.627642JV 2 

 JV 2 " =+ 4.727661^ 2 

 Nl" =+31.11766JV 2 

 N 2 zr = 0.001595785^ 2 

 N a T = 0.01334776^ 

 ^ 2 "=+ 0.001291801 N 2 

 N=+ 0.0001489017^ 



For the root g^ we get, 



g s = 18".486192, 

 JV 3 ' = 6.134120JV 3 

 N;' =+ 6.742900^ 

 N," = 11.29640JV; 

 JV/ r =+ 0.000000955724^ 

 N 3 V =+ 0.0001854001^3 

 JV 3 rj = 0.0000169937^ 3 



0.000002026216^ 



log. 9.0786680, 



" 8.9319690, 



" 8.2292796, 



" 6.3052894n, 



" 6.4094494?i, 



" 6.3505243, 



" 4.8007224. 



N 3 T "= 



log. 9.4535581, 



" 9.3585790n, 



" 8.6764453n, 



" 6.5355307, 



" 6.6851294, 



" 6.3966770n, 



" 5.1817351n. 



log. 0.7503265n, 



" 0.6746463, 



" 1.4930069, 



" 7.2029742, 



" 8.1254084n, 



" 7.1111957, 



" 6.1728995. 



log. 0.7877523, 



" 0.8288466, 



" 1.0529402??, 



" 93.9803324, 



" 96.2681100, 



" 95.2302878^, 



94.3066957n. 



For the root g t , we get, 



g.=0", and iV 4 =i 



'=iV 4 "=, &c. 



