THE ORBITS OF THE EIGHT PRINCIPAL PLANETS. 155 



For the root </!= 6".5922959, we get, 



696641 640902.9 _33247150 



^ ~r 1020 ' 2/1 "Toso ' Zl ~ 



Whence ^=132 41' 2".3; log. ^=8.4538431. 



N, =+0.0284342; N,' r =+0.000009570; 



NJ =-0.0078621 ; N, T =+0.000013498 ; 



JVi" =0.0063398 ;. N^ 1 =0.0000069904 ; 



#T= 0.0013288 ; N 1 r "= 0.0000004076. 



For the root ^=17". 3938608, we get, 



68615050 28882030 _ 0.4884728 



^2 10 20 ' ^ 2 10 20 ' Z *~ io 10 ' 



Whence /3 2 =292 49' 39".4; log. JV 3 =97. 1830006. 



N a =+0.0015241 ; N 2 ' r =0.0000025292 ; 



Nj =0.0084788 ; N z r =0.000021373 ; 



NJ =+0.0069557 ; N, rz =+0.0000020823 ; 



^"'=+0.0050658 ; ^ 2 r// =+0.00000023809. 



For the root g s = 18".4092048, we get, 



_ 0.006724489 0.00221 7478 _1.9257107 



x s ihio ~' 2/3 iTjio -i 2 s ^TAIO 



Whence ^=251 44' 58".0 ; log. JV 3 =97.5654837. 



N 3 =+0.0036769 ; N 3 IT =0.00000007222 ; 



JV 3 ' =0.0224249 ; N 3 r =0.0000005523 ; 



N 3 " =+0.0244742 ; N 3 n =+0.000000046 ; 



^'"=0.0376018 ; ^^=+0.00000000512. 



For the root # 4 =0", we get, 



_ , 0.7265241 0.2110814 27.31188 



x * ~r IO ~> 2/4 



Whence /? 4 =106 12' 1".7; 10^^=98.4424954. 



For the root # 6 = 0".6735122, we get, 



0.1020975 0.2702021 240.6404 



5 2/5 -- H 



- JQIO 



Whence /3 S =20 42' 11".2 ; log. JV 6 7F =97.0793126. 



N, =+0.0014850 ; JV/ r =+0.00120036 ; 



^'=+0.0013612; N & r =+0.0011579 ; 



^"=+0.0013329 ; ^"=0.0011251 ; 



JV 6 '"=+0.0012609 ; N, v "= 0.0117624. 



