158 



SECULAR VARIATIONS OF THE ELEMENTS OP 



Substituting these roots in succession in equations (515-526), we get the follow- 

 ing values : 



For the root g, we get, 



r =5". 1262327, 

 #' =+0.122771iV 



N" =+0.0879417^ 

 N'" =+0.01756792V 

 N' r =0.000207983^ 

 JV" = 0.000264402IV 

 N" =+0.0002360322^ 

 #""=+0.000006 1622 



For the root # we get, 



0,= 6".5922343, 

 NJ = 0.276482 JVi 

 N,' =0.222950^! 

 N' =0.0466245^1 

 N," =+0.00033610^ 

 JV, r =+0.000474472iVi 

 Ni n = 0.000248245 Nj. 

 N l v "= 0.0000147153IVi 



For the root ff z , we get, 



g z = 17".3937133, 

 NJ = 5.56327iV 2 

 N,' =+ 4.563742V2 



N 3 ' r = 0.0016539^ 



J^ r/ =+ 0.001370242V 2 

 ^ 2 r "=+ 0.00015714^ 



For the root g a , we get, 



7 8 = 18".4091136, 



W = 6.09878JV, 

 W =+ 6.656082V 3 



N 3 ' r = 0.00001 95968JV S 

 ^a" = 0.0001 50608 N 3 

 ^ 3 ^/ =+ 0.0000125707iV 3 

 N 3 "'=-\- 0.00000139394JV 8 



For the root g t , we get, 



0". N AT' N" AT"'" <Srr 



ijl J , JT^ IV^ JV^ ^V^ VXC. 



log. 9.0890969, 



" 8.9441950, 



" 8.2447196, 



6.3180273w, 



" 6.4222642/j, 



" 6.3729713, 



" 4.7897356. 



log. 9.4416674n, 



" 9.3482076w, 



" 8.6696144, 



" 6.5264690, 



" 6.6762012, 



" 6.3948800H, 



5.1677685w. 



log. 0.7453298, 



" 0.6593212, 



1.5216780, 



7.2185079, 



" 8.1470920, 



" 7.1367973, 



" 6.1962851. 



log. 0.7852438w, 

 " 0.8232187, 

 *' 1.0096800M, 

 " 95.2921852, 

 " 96.1778487w, 

 95.0993576, 

 94.1442453. 



" 

 



