THE ORBITS OP THE EIGHT PRINCIPAL PLANETS. 53 



For the root #,= 17". 20086 7, we get, 



32718590 A7 , 57870410 3.742550 



2= " - 2 ' = 



Whence &=330 31' 1".9 ; log. JV 2 =97.2495186. 



N, =+0.00177621; ^/ r = 0.0000014445 ; 



Nj =0.0129441 ; N z r =0.0000096903 ; 



#,"=+0.0133612; N z rt =+0.00000058281 ; 



# 2 '"=+0.0379170 ; N= +0.00000004291. 



For the root </ 3 =17".900114, we get, 



93612050 95375820 _ 7.000929 



2/3 20 " Z 3 - " 3 ' 



- JQ20 " 3 JQ20 



Whence /? 3 =135 32' 5".0 ; log. ^,=97.2807821. 



N 3 =+0.0019089 ; N 3 ' r =+0.00000066361 ; 



N 3 ' =0.0149448 ; N 3 r =+0.00000769847 ; 



JV 3 " =+0.0184650; ^ s ^/ = 0.00000043278; 



^3'"= 0.0637154 ; N 3 "'= 0.00000003210. 



For the root # 4 =0".6166853, we get, 



, 3.357379 v 1.360319 ,. 56977.20 



*- -1^)10 ' *- -ioio -. * 10 io 



Whence /? 4 =67 56' 36".7 ; log. ^ 4 /r =95.8033066. 



JV 4 =+0.000007679; JV 4 /r =+0.000063578; 



JV 4 ' =+0.00001 1669; JV 4 r =+0.000071705; 



N<!' =+0.000013477; NJ 1 =+0.00155773; 



JV 4 "'=+0.000021934; ^ 



v 



^ 



For the root # 6 =2".727672, we get, 



, 0.6476120 v 0.1744696 345.1504 



r 



Whence ^ 5 =105 4' 40".0 ; log. ^^=97.2885211. 



N b =+0.00055526; N b 1T =+0.00194322; 



N s ' =+0.00055400 ; N & r ^+0.00176909 ; 



Nf =+0.00057875; N S VI =+0.0297318; 



7V 6 '"=+0.00077519 ; # 5 r "= 0.00291036. 



For the root # 6 =3".716766, we get, 



0.4683190 0.8566834 _ 22.51091 



x e 1 " -- ' ~" 10 ' 



Whence ,8 6 =28 8' 47". 2 ; log. N 6 ' r =98.6350843. 



N R =+0.0233269 ; N e ir =+0.0431603 ; 



N t ' =+0.0164976 ; N 6 V =+0.0341016 ; 



JV 6 " =,+0.0162167; JV a " =0.0448545 ; 



^'"=+0.0187650 ; JV 6 r// =:+0.0014200. 



