56 SECULAR VARIATIONS OF THE ELEMENTS 



</-47 9724987.o 3 +799.77118048./-5375.58619284. 5 r 1 } 24g) 



+ 12441.50566776 j 

 <,-29 5232934./+172.74781374., 2 - 323.33816841., ) = , 24g) 



+ 140.48125235 j 



The values of J, A', 6*, and A'" arc given by equations (118); and the values of 

 A,, A 2 , A,, and 6 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; 9*= 0".61668624; " 



L= 7 3146241; fr= 2.7277498; 



fl,=17. 2173969; ^ 8 = 3.7181422; 



^ 3 =17 .9310275 ; fr=22 .4607151. 



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

 For the root g, we get, 



=5".5095453 ; 



(250) 



=+0.04709515JV 

 N =+0.03032428JV 



N"' = 0.0000499083JV 

 N T = 0.00004469 284 JV 

 N rt =+0.00001922807JV 



For the root </ we get, 



^=7.3153801 ; 

 JV/ =0.7533911^ 

 Nf =0.5814061^ 

 N =0.0996916^ 

 Nt" =+0.0004072400^Vi 



N" = 0.0001038256^ 

 ^""=0.000004308711^ 



For the root , 2 , we get, 



^ 2 =17".2175318; 

 NJ = 7.71 3321 ^ 2 

 NJ =+ 7.200735^ 



N 3 ' r =^ 0.0007473015J\T 2 

 JV 2 F =- - 0.005061101^ 

 JV 2 r '=+ 0.0003038889^ 2 

 ^"=+ 0.00002237723^ 2 



log. 98.6729762 ; 



" 98.4817906; 



" 97.6815864; 



* 95.6981728re; 



95.6502379?i; 



" 95.2839357 ; 



" 93.5568171. 



log. 9.8770206i; 



" 9.7644796?i; 



" 8.9986586; 



" 6.6098504; 



" 6.6215340; 



" 6.0163044; 



" 4.6343474. 



log. 0.8872414n ; 



0.8573768; 

 " 1.2801108; 

 " 96.8734959ri ; 

 " 97.7042450ra; 

 96.4827148; 

 " 95.3498063. 



