126 



SECULAR VARIATIONS OF THE ELEMENTS OF 



For the root #= 2".916075, we get, 



_ 0.36782CM 



X 6 H 1|UO ' 



; 2/0= 



0.3543521 



581.0177 



uo 



10 io 10 10 



Whence #,=133 55' 53".6 ; and log. # ' r =6.9440119. 



# 6 =+0.003063, #/' =+0.000879047, 



#.' =+0.001814, # 6 r =+0.000717683, 



#.' =+0.001629, # 6 r/ = -0.0176817, 



# 6 '"=+0.001157, #."'=+0.00189801. 



For the root 7 = 25".934665, we get, 



0.2996518 . . 0.2202706 



N"; "~ 



59.03076 



Whence /? 7 =306 19' 9".l ; and log. #/ r =7.7993490. 



# T =0.0002667, # T " =+0.00630012, 



#/ =0.0002640, NS =-0.0156916, 



jV;' =,0.0027914, # 7 " =+0.00068886, 



# 7 '"=-0.0092634, #/"=+0.000077193 



14. For an increment of -fa, to the mass of the earth, we have the preliminary 

 computations by merely making all the coefficients positive in equations (232-237). 

 We shall then obtain the following 



Fundamental Equations for ^"=+ ; or for m"=l-r-351 132.4. 



A =0+39.080610.0 +188.728586 ; 

 ^'=0 2 +23.3039078.<7+ 99.5792048; 

 4" == ^+19.0875991.<7+ 75.2609947: 

 ^ 1 =^ 2 +18.4084593.(7+ 60.3292965 ; 

 J 2 =*7 2 +13.1931503.(7+ 8.981769; 

 J 3 =<7 2 +26.3824488.(7+ 9.887223 ; 



D =^+45.2956845.0+610.444623; 

 JJ =/+52.4179477.<7+613.831274 ; 



(443) 



i> 1= ^+43.8987357.0+172.463309 ; 

 #,=^+46.4943751.0+ 32.948430; 

 Z) 3 =0 2 + 3.4291834.0+ 1.69252419. 



# = ^+17.667716216;) 

 S"= j 0+13.490445^6; j 



C = 10+22.7146021 [9.4381189]6'; 

 C'= J0+17.6977225 1[9.1138076]6'; 

 C"'=+[0.3976676]6'; 

 C""= +[0.441 1620]6'; 



(444) 



(445) 



(446) 



