56 SECULAR VARIATIONS OF THE ELEMENTS OP 



< 7 *-47.9724987./+799.77118048.< / 2 -5375.58619284.< 7 j 



+ 12441.50566776 J _U ' Zu %2 ' Xa) ' Q } 



Z»to)- (249) 



o 4 -29.5232934y+172. 74781374.^— 323.33816841.^ ) _ 



j \Xi'> Z^ 



+ 12441. 

 2 — 323.3 

 +140.48125235 



The values of b, V, 6", and V" are given by equations (118); and the values of 

 />!, 6 2 , b s , and 5 4 are given by equations (119), by simply adding log. (1+^)= 

 [0.0211893], to the coefficients of N". 



Putting equations (248) and (249), equal to nothing, they will give, 



g= 5".5094502 

 9i = 7.3146241 

 # 2 =17 .2173969 

 # 3 =17 .9310275 



# 4 = 0".61668624; 

 g b = 2.7277498; 

 g 6 = 3.7181422; 

 # 7 =22 .4607151. 



The equations just computed, will now give the following values: 



For the root g, we get, 



#=5".5095453 ; 



N' =+0.04709515iV log. 98.6729762: 



N" =+0.03032428^ " 98.4817906: 



N'" = +0.004803897iV " 97.6815864: 



2V' r =— 0.0000499083iV " 95.6981728k; 



N T =— 0.00004469284iV " 95.6502379k; 



iy r/ =+0.00001922807iV " 95.2839357; 



2y FJJ =+0.0000003604268iV " 93.5568171. 



For the root g t , we get, 



^=7.3153801 ; 

 iV/ =—0.75339112^ log. 



Nf =— 0.58140612^ 

 Ni m =—0.09969162^ 

 2^ =+0.00040724002^ 

 Nf =+0.00041834442^ 

 ^"=—0.0001038256^ 

 2^"'=— 0.0000043087112^ 



For the root g 2 , we get, 



# 2 =17".2175318; 

 2V 2 ' =— 7.7133212V 2 log. 

 2V 2 " =+ 7.2007352V 2 

 2V/' =+19.059472V 2 

 2V 3 /F ^— 0.00074730152V 2 

 2V 2 r =— 0.0050611012V 2 

 2V 2 " =+ 0.0003()388892V 2 

 2V 2 " J =+ 0.000022377232V 2 



9.8770206^ ; 



9.7644796k; 



8.9986586k; 



6.6098504; 



6.6215340; 



6.0163044k; 



4.6343474k. 



0.8872414n; 



0.8573768; 



1.2801108; 

 96.8734959k; 

 97.7042450k; 

 96.4827148; 

 95.3498063. 



(250) 



