1'20 SECULAR VARIATIONS OF THE ELEMENTS OF 



11. Substituting these values in equations (408) and (409), we shall get the 

 following values: 



For the root g= 4".815328, we get, 



, 1.524075 .. . 3.435486 Ar 36.65228 . 72 



T " N; z = 



10" - 



Whence /?=23 55' 15".6; and log. #=9.2108901. 



#=+0.162514, #' F = 0.0000635, 



# =+0.034037, N T =0.0000790, 



#"=+0.023913, # r/ =+0.0000806, 



#"=+0.004754, # F/ '=+0.0000014. 



For the root g,= 7".064535, we get, 



1/725880 46 To.88155 



&1 H --- JQM **! 2/1 ~~T(P* ' 2 ' ' ""10"" '' 



Whence ,=90 0' T.I ; and log. #,=8.3568764. 



#i =+0.022744, #/ r =+0.0000103, 



N 1 '= 0.009114, Ai r =+0.0000150, 



# t " =0.007694, Ai r/ =0.0000068, 



N 1 "= 0.001649, N 1 r "= 0.000000046. 



For the root g z = 17".043656, we get, 



6.709998 3.568591 _ 5820.032 



-"a > Z 2 " ~ 2 ' 



Whence ^=298 0' 19". 7 ; and log. JV 2 =7. 1158842. 



Nt =+0.001306, # 2 ' r = 0.00000228, 



#; =0.007211, NS =0.00001988, 



Nf =+0.005538, N 2 " =+0.00000193, 



# 2 "=+0.048623, Ni"= +0.00000022. 



For the root </ 3 = 18".540625, we get, 



_ 6.589852 Ar 1.924650 X7 _1774.3737 



X 3 JQ13 "81 2/3 JQ13 *? 2 3 JQ13 



Whence /? 8 =253 43' 8".0 ; and log. #,=7.5876056. 



# 3 =+0.003869, #3"= 0.000000154, 



# 3 ' =0.023626, # 3 r =0.000002255, 



# 3 " =+0.025066, #/' = +0.0000001931, 



# 3 W = 0.033482, # s " =+0.0000002213. 



For the root <7 4 =0, we get, 

 . 0.725777 



4= To 15 



Whence ^==106 13' 35".2; W" 4 =+0.0277436, log. # 4 =8.4431625. 



. 0.7257772 ._. 0.2112211. 27.24551, 



4= 15 ^ 4; ?/4== ---- io -^; Zi= ~~^~ 4 * 



