THE ORBITS OF THE EIGHT PRINCIPAL PLANETS. 135 



For the root <7i= 6".6692717, we get, 



8.43328 6.419195 _ 331.3455 



10 i5 ; 2/i- 10 i J i- -iQir 



Whence ^=127 16' 40". 5 ; log. ^=98.5049615. 



JVi =+0.0319861; ^i /r =+0.000011017; 



N,' =0.0085822 ; NS =+0.000015651 ; 



Nf =0.0070024 ; N^ =0.000007922 ; 



Nf= 0.0015604 ; N l r "= 0.0000004884. 



For the root fj z 17".626586, we get, 



6.947485 4.015769 _ 7425.592 



X ~2 ' 13 2/2 + l3 5 Z 2 U 



Whence /? 2 =300 0' 37".6; log. # 2 =97.0339306. 



N 2 =+0.0010813; NJ r = 0.000001943; 



#,' =0.0060059 ; N Z T =0.000018702 ; 



JV 2 " =+0.00397545 ; # 2 " =+0.000001 778 ; 



JV 2 " '=+0.0465733 ; #,""= +0.0000002049. 



For the root g a = 18".9364959, we get, 



6.960810 1.901617 _1696.1782 



**- To 5 ; yz ~ "To 13 ; Zs ~ "To 13 ' 



Whence /? 3 =254 43' 12".9 ; log. #,=97.6288181. 



N 3 =+0.0042542 ; N 3 ir =0.0000001962 ; 



#,' =0.0267139 ; N 3 r =0.0000055201 ; 



# 3 " =+0.0258130 ; N S TI =+0.0000004576 ; 



#,"= 0.0306223 ; # 3 m =+0.0000000528. 



For the root <7 4 =0", we get, 

 , 0.7256453 



X * - H JQ10 



Whence ^ 4 =106 14' 18".0; log. JV 4 =98.443 1002. 



, 0.7256453 021134(51, _ 27.24612 



- H JQ10 ' 2/4 IO 10 ' Z *~ 10 l 



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



_ 0.1016437 0.2717608 _ 241.9590 



~ ~ ' 2/6 T 10 ' Zf> ~ IO 10 



Whence /3 5 =20 30' 37".9 ; log. JV/ P =97.0788886. 



N 5 =+0.0014735 ; N b ir =+0.001 1992 ; 



Nj =+0.0013543 ; ^ =+0.0011576 ; 



^"=+0.0013280; JV 6 r/ = 0.0011248; 



JV 6 '"=+0.0012591 ; N b v "= 0.0117880. 



