126 



SECULAR VARIATIONS OP THE ELEMENTS OF 



For the root # 6 = — 2".9 16075, we get, 



0.3618204 _ 0J3543521 _ 581.0177 A7i 



10 1 ' 



6 ~ ' 10 10 " ' *■ 10 



Whence /? 6 =133° 55' 53".6 ; and log. iV 6 ir =6.9440119. 



JV 6 =+0.003063, N/ 7 =+0.000879047, 



. JV,' =+0.001814, iV 6 r =+0.000717683, 



iV 6 " =+0.001629, iV 6 r/ =— 0.0176817, 



2V 6 "=+0.001157, i\7 JZ =+0.00189801. 



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

 0.2996518 



-iV/ F ; y,-- 



0.2202706 , T „ 59.03076 



10 1 



7— 10 10 7 ' " 7— ' 10 



Whence /? 7 =306° 19' 9".l ; and log. iV 7 JF =7.7993490. 



JV 7 =—0.0002667, iV/" =+0.00630012, 



N,' =—0.0002640, N 7 T =—0.0156916, 



iV 7 "=— 0.0027914, N 7 TI =+0.00068886, 



iV 7 '"=— 0.0092634, iV 7 ri =+0.000077193 



w 



14. For an increment of ^\, to the mass of the earth, Ave have the preliminary 

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

 We shall then obtain the following 



Fundamental Equations for [x"z= | ■ • or for m"=l-=-351132.4. 



20' 



.4 =<y 2 +39.080610.</ +188.728586; " 

 A' =<f+23.3039078.tf+ 99.5792048 ; 

 ^"=/+19.0875991.^+ 75.2609947; 

 ^=^+18.4084593.^+ 60.3292965 ; 

 ^ 2 =^ 2 +13.1931503.^+ 8.981769; 

 J 3 =«f+26.3824488.tf+ 9.887223; 



Z>=# 2 +45.2956845.#+610.444623; * 

 jy =^ 2 +52.4179477.^+613.831274; 

 X»"=^+32.3259257.^+258.6223612 ; 

 Z> 1 =# 2 +43.8987357.#+172.463309 ; 

 Z> 2 =# 2 +46.4943751.#+ 32.948430; 

 D 3 =g 2 -\- 3.4291834.^+ 1.69252419. 



jB=}^+33.41905j6; £' = {#+17.6677162(6; ) 

 5"=|^+13.490445|6; J 



C =—^+22.714602 J [9.4381 189]Z>'; 

 C"=— j#+17.6977225j[9.1138076]6'; 

 C"=+[0.3976676]&'; 

 <7"=+[0.4411620]&'; 



(443) 



(444) 



(445) 

 (446) 



