THE ORBITS OF THE EIGHT PRINCIPAL PLANETS. 



53 



For the root y,= 17". 200867, we get, 



32718590.. .57870410-. 3.742550 „. 



**= ItfS— ^2,y a =H JO 20 2 ' 22 = 1Q^~ N * 



Whence /? 2 =330° 31' 1".9 ; log. 2^=97.2495186. 



N 2 =+0.00177621 ; 

 N: =—0.0129441 

 iV 2 "=+0.0133612 

 iV 2 '"=-)-0.0379170 



For the root </ 3 =17".9O0114, we get, 



iV 2 ,F =— 0.0000014445; 

 N a r =—0.0000096903; 

 N 2 TI =+0.00000058281 ; 



^"=+0.00000004291. 



«3= + 



93612050 



H&, Z/3=- 



95375820 



K, 



10 20 *' 3 ' * 3— 10 2 ' 



Whence /3,= 135° 32' 5".0 ; log. iV 3 =97.2807821. 



7.000929 „, 



10 10 <«»■ 



jV 3 =+0.0019089 

 2% =—0.0149448 

 iV 8 " =+0.01 84650 



N'"=— 0.0637154 



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



N 3 ' r =+0.00000066361 

 NJ =+0.00000769847 

 N 3 TI =—0.00000043278 

 iV"=— 0.00000003210 



3.357379 



1() 10 



n:\ 2/ 4 =+ 



1.360319 



10 1 ' 



n: 



56977.20 



10 llJ 



W 



Whence /3 4 =67° 56' 36".7 ; log. JV 4 ' r =95.8033066. 



JV 4 =+0.000007679 

 N; =+0.000011669 

 iV 4 " =+0.000013477 

 JV 4 '"=+0.000021934 



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



N t IT =+0.000063578; 

 NJ =+0.000071705; 

 N™ =+0.00155773; 

 iV 4 rj =+0.01003882. 



0.6476120 



X,' 



2/5 = 



0.1744696 



Whence (3 5 



I 10 -0 "* » »6 JQ 



:105° 4' 40".0 ; log. iV 5 ' r =97.2885211. 



N'\ z s = 



345.1504 



10' 



N" 



iV 5 =+0.00055526 

 N b ' =+0.00055400 

 iV r 5 " =+0.00057875 

 JV 6 "=+0.00077519 



For the root <7 6 =3". 716766, we get, 



, 0.4583190 >T/r . 0.8566834 



a5 6=H TnTo ^i . Vi 



iV 5 ' r =+0.00194322; 

 NJ =+0.00176909; 

 JV 5 r/ =+0.0297318; 

 N/"=— 0.00291036. 



10 10 ° ' * /0 ' 10 



Whence /3 6 =28° 8' 47". 2 ; log. N 6 ' r =98.6350843. 

 N 6 =+0.0233269 

 JV 6 ' =+0.0164976 

 JV " =+0.0162167 

 jV 6 '"=+0.01 87650 



W\ z* 



22.51091 



10 10 



K 



N 6 ' r =+0.0431603; 

 JV/ =+0.0341016; 

 2V r/ =— 0.0448545; 

 JV 6 r '=+0.0014200. 



