30 SECULAR VARIATIONS OF THE ELEMENTS OF 



Then we shall have 



Corrected A =A -\-$A ; 



£=£+&£; } (129) 

 &c. 



1; 1 



4 



In this manner we shall obtain for the root g, 



g= 5".4638027 ; 



N' =+0 .048643252V log. 98.6870226 ; 



N" =+0 .031043812V " 98.4919751; 



2V" =+0 .0047666962V " 97.6782174; 



2V JF =— 0.000050962462V " 95.7072504n: 



N r =— .000045488712V " 95.6579036»; 



2V F/ =+0 .000019925322V " 95.2994053; 



2V" '=+0 .0000003574732V " 93.5532432. 



By performing similar calculations with reference to g x , g 2 , g 3 , &c, we shall obtain 



the following values: — 



g x = 7".2484269 ; 

 2V/ =—0.74931202^ 

 2V/ =— .57141852^ 

 N{' =—0 .09467002V 

 2V/ r =+0 .00039593092V 

 N* =+0 .0004045142i^ 

 2Vi FZ =— .00010205912^ 

 N X TII =— .0000041 732432V 



log. 



9.8746627« 

 9.7569543™ 

 8.9 7621 24rc 



96.5976194; 



96.6069338; 



96.0088516^; 



94.6204737m. 



# 2 = 17".0143734; 

 2V 2 ' =— 7.6447642V 2 

 N; =+ 7.708429JV 2 

 2V 2 '" =+15 .383402V 2 

 N 2 ir =— .00072200482V 2 

 N/ =— .0043626472V 2 

 2V/ 7 =+ .0002672122V 2 

 N 2 rI =+ .000019633762V 2 



log. 



0.8833640/i : 



0.8869658; 



1.1870524; 



96.8585401ra: 



97.6397511ra; 



96.4269521; 



95.2930035. 



g 3 = 17".7844562; 

 2V 3 ' =— 8 .2773022V 3 

 2V 3 " =+10 .2071002V 3 

 2V 3 '" =—49 .61991iV3 

 2V/ r =+ .00066850732V 3 

 N 3 r =+ .0069095132V, 

 2V 3 r/ =— 0.00039271752V, 

 2V m =— .000029099622V, 



log. 



0.9178888rc; 



1.0089024; 



1.6956560^; 

 96.8251062; 

 97.8394474; 

 96.5940804n ; 

 95.4638874«. 



