THE ORBITS OF THE EIGHT PRINCIPAL PLANETS. 

 For the root </ ls we get the following values, 



log. 99.9418576; 



" 99.8388736w; 



" 99.0658468w; 



" 96.6369257; 



" 96.6566098; 



" 96.0281973w; 



" 94.6661815w. 



45 



NJ = 0.8746970JVi 

 Nf =0.6900382^ 

 W =0.1163716^ 

 jV/ r =+0.0004334367^ 

 NS =+0.0004535340JVi 

 NJ Z =0.0001067081 Ai 

 ^"'=0.000004636406^ 



For the root </ 2 , we get the following values, 



# 2 = 17". 1279859; 

 Nj = 7.663670.^ 

 NJ =+ 7.458903JV2 



IV = 0.0007514405^ 2 



r = 0.00483281 8JV 2 



"=-}- 0.0002927626^ 2 



r// = 0.00002153572JV^ 



For the root #,, Ave get the following values, 



^ 3 =17".8360300; 

 ^ a ' = 8.244660JV 



iV 3 " =+ 

 JV 3 '" = 39.935747V 3 

 N 3 ir =+ 0.0004835988^ 3 

 N, r =+ 0.005252281^, 

 JV 3 "= 0.0002970608^ 3 

 N= 0.00002202336^3 



For the root g t , we get the following values, 

 # 4 =0".6166852 ; 



p; =+ 0. 18071 UN, 1 

 V =+ 0.21 14780 N t l 

 V =+ 0.3450307W;' 



'=+ 24.500742V; 7 



log. 0.8844368/i; 

 " 0.8726750; 

 1.2600767; 

 " 96.8758946M; 

 " 97.6842004w; 

 " 96.4665156; 

 " 95.3331593. 



log. 0.9161728w; 



" 0.9875922; 



" 1.6013617w; 



" 96.6844852; 



" 97.7203480; 



" 96.4728453; 



" 95.3428835w. 



log. 9.0781956; 



" 9.2570000 ; 



" 9.3252650; 



" 9.5378578; 



" 0.0522403 ; 



" 1.3891794; 



" 2.1983687. 



