143 



SECULAR VARIATIONS OF THE ELEMENTS OF 



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

 following values: 

 For the root ff, we get, 



g=5". 1293390, 

 N' =+0.1 224435 AT 



N" =+0.08766774^ 

 N'" =+0.0175016JV 

 N' r = 0.000205739^ 

 N r = 0.000261587JV 

 N Tt =+0.000236310^ 

 N r "=+0.0000062338tf 



For the root g v we get, 



</!= 6".5971682, 

 AY =0.277326^ 

 JV/' = 0.223546JV, 

 W/" = 0.0468220 JV, 

 JV/ r =+0.000334045^ 

 NS =+0.000471677JV, 

 Ai r/ =0.000250301^; 

 . N l v "= 0.0000148755JV, 



For the root g%, we get, 



^ 2 = 17".4073173, 



Nj = 5.57006^ 2 



^ 2 " =+ 4. 



N 2 ir = 0.00161379^ 3 

 NS = 0.0137070^ 

 ^ 2 F/ =+ 0.00136814^ 2 

 #/"=+ 0.000156952^ 2 



For the root g a , we get, 



g z = 18".4175195, 

 N 3 ' = 6.10257^, 

 ^ 3 " =+ 6.66495^3 



N, ir = 0.000017665^3 



N 3 r = 0.000117075^ 3 



JV 3 r/ =+ 0.000()0985785JV 3 



^ 3 ^ "=+ 0.00000108146JV 3 



log. 9.0879358, 



" 8.9428398, 



" 8.2430770, 



" 6.3133160, 



" 6.4176164n, 



" 6.3734826, 



" 4.7947524. 



log. 9.44299 lOw, 



" 9.3493660H, 



" 8.6704496, 



" 6.5238055, 



" 6.6736443, 



" 6.3984620n, 



" 5.1724700n. 



log. 0.7458600/z, 



" 0.6609136, 



" 1.5189348, 



" 7.2078461n, 



" 8.1369422/z, 



" 7.1361306, 



6.1957676. 



log. 0.7855130n, 



" 0.8237970, 



" 1.0139370ra, 



" 95.2471266, 



" 96.0684623, 



" 94.9937824, 



94.0340085. 



For the root <7 4 , we get; 



