62 SECULAR VARIATIONS OF THE ELEMENTS OF 



g i — 29.5237894.# 3 +172.758201154./l > (26Q) 



— 323.368779974.# +140.4964513342 J C **' * 6 ' # 6 ' ^ ^ ; 



The values of b, b', b"., and V" are given by equations (118); and the values of 

 &n \i hi an d h are given by equations (119), by simply adding log. (1+^)= 

 0.0413927 to the coefficient of N". 



Putting equations (267) and (268) equal to nothing, they will give, 

 g = 5".554906079, #= 0".616687321, 1 



g t = 7.378294649, 

 #,=17 .403271601, 

 #=18 .098463471, 



#= 2.727775991, 



g 6 = 3.718480731, 

 #=22 .460845357. j 



} (268 1 ) 



Equations (257-268), in connection with equations (84-97), will now give the 

 following values : — 



For the root g, we get, 



#=5".5550002, 

 N' =+0.04569346iV 

 N" =+0.02968146iV 

 N'" =+0.00482527i\r 

 N I7 =— 0.00004897096^ 

 N r =— 0.00004399572iV 

 i\T'=+o.00001859827iV 

 ^".=+0.0000003632732^ 



For the root </ 1} we get, 



#=7".3790776, 

 JV/ =—0.755884^ 

 Nf =— 0.590047i^ 

 iV/" =— 0.1045547iVi 

 N^ =+0.0004179936^ 

 NS =+0.0004316384^ 

 ^,"=—0.0001054817^ 

 ^=—0.000004437763^ 



For the root g 2 , we get, 



#=17".4034121, 

 JV 2 ' =— 7.766638iV 2 

 N 2 " =+ 6.689090iV 2 

 N 2 m =+23.91929^ 

 iV 2 IT =— 0.000785956^ 

 N 2 V =— 0.005986225iV 2 

 N 2 VI =-\- 0.0003529385iV 2 

 N™=+ 0.00002604318^ 



log. 98.6598541 



" 98.4724852 ; 



" 97.6853181 



" 95.6899385m; 



" 95.6434103%; 



" 95.2694725 ; 



" 93.5602333. 



log. 99.8784552« 



" 99.7708867m 



" 99.0193438m 



" 96.6211696; 



" 96.6351200; 



" 96.0231771m 



" 94.6471640« 



log. 



0.8902330«: 

 0.8253671 ; 

 1.3787482; 



96.8953983w ; 



97.7771530w; 



96.54.76990; 



95.4156940. 



