1:34 



SECULAR VARIATIONS OP THE ELEMENTS OF 



For the root g & , we get, 



#>= 0".66 16623; 



N t =+1.228747# 6 /r 



r 



log. 0.0894623; 



" 0.0528360; 



" 0.0442980; 



" 0.0211576; 



" 9.9846716; 



" 9.9722493n; 



" 0.9925608. 



log. 0.5396342; 



" 0.3072002; 



" 0.2622141; 



" 0.1196872; 



" 9.9119142; 



" 1.303530071; 



" 0.3348464. 



log. .6375619n; 



" 8.3659300; 



" 9,6454670n; 



" 0.1730168; 



0.3962995?i; 



" 9.038753Q; 



" 8.0881970. 



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

 obtain the following quantities :~ 



For the root g= 5".2136546, we get, 



N; =+1.12937JV 

 # 6 " =+1.107383# 8 /r 

 N^ =+1.049923A r 5 ' r 

 . N t r =+0.965320A r 6 * r 

 N & "= 0.938100^ 

 N 6 T "= 9.8301 !N t ' r 



For the root g M we get, 



g 6 = 2".9160771; 

 N 6 =+ 3.46445 J ZV 6 ' F 

 Nj =+ 2.02862^ 6 /r 

 N 9 ' =+ 1.82900JV/" 

 JV 6 '" =-j- 1.317308^ 

 N, r =+ 0.816421^ 

 N t n = 20.11546^ 



= 2.161956iV 6 / 



For the root 



we get, 

 ^ 7 = 25".9350099; 



N, = 0.0434072^V/ F 

 ^' =0.0232236^" 



N," = 0.442046 JV/ r 

 JV 7 W = 1.489419JV 7 Jir 

 JV/ = 2.490578^" 

 JV/'=-|-0.1093334JV 7 /ir 



*=+ 



5.51372 



15.90391^ 



140.64952 

 10 16 ' 



10" 10 16 



Whence /3=19 7' 7".0 ; log. #=9.0780045. 



#=+0.1196753; #' r = 0.000025364; 



IT =+0.0143703 ; N r =0.000032468 ; 



#"=+0.0104268 ; #"=+0.000027359 ; 



#"=+0.00220757 ; # r "=+0.00000082705 . 



