148 



SECULAR VARIATIONS OF THE ELEMENTS OF 



Substituting these roots in succession in equations (491-502), we shall get the 

 following: values: — 



For the root g, we get, 



g=— 5". 1293390, 

 N' =+0.1224435JV 

 N" =+0.08766774iV 

 N'" =+0.0175016iV 

 N ir =— 0.000205739iV 

 N y =— 0.000261587iV 

 JV W =+0.000236310JV 

 N " =+0.0000062338iV 



For the root g u we get, 



-g 1 =— 6".59T1682, 

 NJ =— 0.277326^ 

 N? =—0.223546^, 

 W =— 0.0468220JVi 

 N^ =+0.000334045^ 

 NS =+0.000471677^, 

 N™ =— 0.000250301 iV, 

 N™=— 0.0000148755iV; 



For the root <jr 2 , we get, 



# 2 =— 17".4073173, 

 iV 2 ' =— 5.57006iV 2 

 iV 2 " =+ 4.57184iV 2 

 #/' =+33.0320iV a 

 N 2 ir =— 0.00161379J^ 2 

 N/ =— 0.0137070i\r 2 

 N a YI =+ 0.00136814iV 2 

 JV7 JJ =+ 0.000156952iV; 



log. 9.0879358, 



" 8.9428398, 



" 8.2430770, 



" 6.3133160m, 



" 6.4176164m, 



" 6.3734826, 



" 4.7947524. 



log. 9.44299 10m, 



« 9.3493660?*, 



" 8.6704496^, 



" 6.5238055, 



" 6.6736443, 



" 6.3984620m, 



" 5.1724700m. 



log. 0.7458600m, 



" 0.6609136, 



" 1.5189348, 



" 7.2078461m, 



" 8.1369422m, 



" 7.1361306, 



« 6.1957676. 



For the root g 3 , we get, 



g s =— 18".4175195, 

 N 3 ' =— 6.10257iV 3 

 N 3 " =+ 6.664952^ 

 N? =—10.32612^ 

 iy 3 jr =— 0.00001 7665^ 

 N 3 r =— 0.0001 17075^ 

 J\r 3 "=+ 0.00000985785^ 

 N 3 TII =+ 0.00000108146^ 



For the root g 4 , we get, 



# 4 =0", iV 4 =iV 4 '=iV" 4 "=iV;'"= &c. 



log. 



0.7855130m, 

 0.8237970, 

 1.0139370m, 

 95.2471266m, 

 96.0684623m, 

 94.9937824, 

 94.0340085. 



