THE ORBITS OF THE EIGHT PRINCIPAL PLANETS. 



135 



For the root g l =— 6".6692717, wc get, 



8.43328 __ 6.419195 



10 16 ' 1Jl ~ W b * z '~ 

 Whence /? l =127° 16' 40".5 ; log. ^=98.5049615. 



«i=+ 



331.3455 



10' 5 " 



JV, =+0.0319861 

 N{ =—0.0085822 

 2^"=— 0.0070024 

 JV/"=— 0.0015604 



N t ' r =+0.00001101 7; 

 iV/ =+0.000015651 ; 

 ^"=—0.000007922; 



N l y "=— 0.0000004884. 



742."). 592 



For the root g 2 = — 17".626586, wc get, 



6.947485 _ 4.015769 



x -i— jTjTs ; V"-— H iqi3 ; 



Whence &=300° 0' 37".6 ; log. 2^=97.0339306. 



N 2 =+0.0010813; N 2 ' r =— 0.000001943 ; 



Nj =—0.0060059 ; N./ =—0.000018702 ; 



N 2 " =+0.00397545; N/ 1 =+0.000001 778; 



JV 2 '"=+0.0465733 ; N./' =+0.0000002049. 



For the root gr 8 = — 18".9364959, we get, 



6.960810 1.901617 



10 1 



Z/ 3 =— 



10' 



1696.1782 

 10 13 



Whence &=254° 43' 12".9 ; log. 2^=97.6288181. 



N 3 =+0.0042542 

 JV 3 ' =—0.0267139 

 JV^ =+0.0258130 

 #,"=— 0.0306223 



2V 3 /r =— 0.0000001962 

 N s r =—0.0000055201 

 2? t n =+0.0000004576 

 2V"'=+0.0000000528. 



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



_ 0.7256 453 _ _ 0.2113461 _ 27.24612 



X * ]_Q10 > V* JQ10 ' Z i J_Q10 * 



Whence /3 4 =106° 14' 18".0; log. 2V;=98.4431002. 



N l =N^=N i H =N i m —N i tr =N i r =N i "=N i " =0.0277396. 



For the root g & =— 0".6616623, we get, 



« s =+ 



0.1016437 _ 0.2717608 _ 241.9590 



10 ,o — ; 2/5—+ jQio ; s 5 — 10 io • 



Whence /3 5 =20° 30' 37".9 ; log. iV 6 ' r =97.0788886. 



N b =+0.0014735 

 N 6 ' =+0.0013543 

 2V 5 " =+0.0013280 

 iV 6 '"=+0.0012591 



N b ir =+0.001 1992; 

 iV 6 r =+0.0011576; 

 iV 5 "=— 0.0011248; 

 2V7"=— 0.0117880. 



