THE ORBITS OF THE EIGHT PRINCIPAL PLANETS. 



51 



For the root ff u we get, 





^=7".2528745; 





JV/ =— 0.6557708JV; 



log. 99.81 67520?? 



N? =— 0.5021007iV; 



" 99.7()()7908m 



iV/" =—0.08380783^ 



" 98.9232841» 



N x Ir =+0.0003520860^ 



" 96.5466488 ; 



X? =+0.0003598465^, 



" 96.5561173; 



N? 1 =— 0.00009068952iV; 



" 95.9575571« 



Nt r "= —0.0000037 1 2050iV; 



" 94.5696138?/ 



For the root g 2 , we get, 





^ 2 =17".2008675; 





JV 2 ' =— 7.2870812i^ 2 



log. 0.8625536?/ 



iV 2 " =-f- 7.5219298iV 2 



" 0.8763293 ; 



N£ =+21.345970i\r 2 



" 1.3293159; 



N 2 IT =— 0.0008 132064iV 2 



" 96.9102008?/ 



N a r =— 0.005455322^ 



" 97.7368204?j 



iV 2 F/ =+ 0.0003281043iV 2 



" 96.5160119; 



N™'=+ 0.00002415603^ 



" 95.3830256. 



For the root g 3 , we get, 





g s ==lT.9001\ZT ; 





N 3 ' =— 7.82904iV 3 



log. 0.8937084?/ 



N 3 " =+ 9.67313iV 3 



" 0.9855672; 



N 3 "' =—33.37815^3 



" 1.5234623?/ 



iV 3 ' r =+ 0.000347642iV 3 



" 96.5411317; 



N./ =-(-• 0.004032944^ 



" 97.6056222; 



N 3 TI =— 0.000226715^ 



" 96.3554809?/ 



N™=— 0.00001681933^ 



" 95.2258087?/ 



For the root </ 4 , we get, 





&=0".61668534; 





N 4 =+ 0.1 207828^" 



log. 9.0820049 ; 



JV 4 ' =+ 0.1835444iV/ r 



" 9.2637411; 



W =+ 0.2119770iV/ r 



« 9.3262888 ; 



i\r 4 '" = _j- 0.3449880^/' 



" 9.5378038; 



N t r =+ 1. 127829^" 



" 0.0522431 ; 



iV 4 r/ =+ 24.501 16#/ r 



« 1.3891867; 



iV 4 r "=+157.8978iV 4 /F 



" 2.1983761. 



For the root g & , we get, 





# 5 =2".7276716; 





JV 5 __j_ 0.2857445^" 



log. 9.4559779 ; 



JV 5 ' =+ 0.2850941iV 5 /r 



« 9.4549882 ; 



JV 5 " =-j- 0.2978305iV 5 /r 



" 9.4739691 ; 



JV 6 '" =+ 0.3989201JV 5 /r 



" 9.6008859 ; 



NJ =+ 0.9103906iV 5 /r 



" 9.9592278; 



N 6 YI =+15.30032^" 



" 1.1847004; 



#5™==— 1.497701JV' F 



" 0.1754251??,. 



