144 



SECULAR VARIATIONS OF THE ELEMENTS OF 



For the root g K we get, 



g b = 0".6633671, 

 N, =+1.231158#/ r 

 N; =+1.130398# 5 ' r 

 # 5 " =+1.107341#/ r 

 N? =+1.049016# 6 /ir 

 ^ 5 r =+0.9653980# 5 

 #"= 0.9445346 # 



#"'= 9.899907# 5 /r 



For the root # 6 , we get, 



g 6 = 2".9250S6, 

 N 6 = 3.536719# 6 /F 



^ 6 " =+ 1.834513^" 

 2V 6 '" =-|- 1.310090JV 6 /r 

 ^- 6 r =+ 0.8166500JV 6 Jr 

 ^"=20.25015^ 

 N t ra =+ 2.169824^^ 



For the root /7 7 , we get, 



g,= 26".117474, 

 N 7 =0.0421 1995^ 

 N,' = 0.04851416A^ T /F 

 JV 7 " = 0.4329533A r / r 

 N 7 '".= 1.4772167V/ 7 

 N, r = 2.515433JV/" 



log. 0.0903139, 

 0.0532315, 

 0.0442814, 

 0.0207820, 

 9.9847064, 

 9.975.2179, 



" 0.9956311H. 



log. 0.5486005, 



" 0.3111304, 



" 0.2635208, 



" 0.1173012, 



" 9.9120360, 



" 1.3064432/z, 



" 0.3364244. 



log. 8.6244879, 



" 8.6858685, 



9.6364410w, 



" 0.1694440, 



" 0.4006128w, 



" 9.0398312, 



" 8.0897044. 



21. If we now substitute these values in equations (408) and (409), we shall 

 obtain the following quantities : 



For the root g= 5".153064, we get, 



. 



~~ 



0.616929 



^ 



1.5676783 



io i4 



13.836148 



Whence /3=21 28' 52".l, and log. #=9.0855076. 



N =+0.121761, N' r = 0.0000245922, 



N 1 =+0.014594, N r =0.0000312577, 



N" =+0.0104106, #"=+0.0000272918, 



=+0.0020644, #"'=+0.000000769538. 



