136 



SECULAR VARIATIONS OF THE ELEMENTS OF 



For the root gr a = — 2^.9160771, we get, 



, 0.3678168 0.3545173 



2/6=" 



581.0884 



I IQIO ' #6 1Q10 5 "6 -j^qi 



Whence /? 6 =133° 56' 42".7 ; log. N 6 ir =96.9440543. 



JV 6 =+0.0030457 

 JV G ' =+0.0017834 

 iV 6 " =+0.0016079 

 iV 6 "=+0.0011581 



N 6 ir =+0.0008812; 

 N e T =+0.00071774; 

 iV 6 rj =— 0.0176842; 

 N/"=— 0.0018963. 



For the root # 7 =— 25".9350099, we get, 



0.2996051 , 0.2202944 



10 1 



Vi= 



Whence /? 7 =306° 19' 35". 1 ; 

 JV 7 =—0.0002735; 

 Nj=— 0.0001463; 

 iV 7 "=— 0.0027849; 

 #/=— 0.0093834; 



~ 10 1, 



log. Nf: 



59.02778 

 : 10 10 ' 



=97.7993434. 



N/ r =+0.0063000 

 N 7 r =—0.0156907 

 N™ =+0.0006888 

 iV 7 F/ =+0.00007719 



18. If we now suppose the mass of Mars to be doubled, we shall have the pre- 

 liminary computations by making all the coefficients of equations (269-274) posi- 

 tive. We shall then obtain the following 



Fundamental Equations for ^'"=+1; or for m'"=l-=-1340318.5 



A =# 2 +38.394808.# +184.259392; 

 ^'=# 2 +23.2280108.#+ 98.9712014 

 J"=# 2 +18.8430013.#+ 73.7719022 

 A=# 2 +18.4111446.#+ 60.3416523 

 ^ 2 =# 2 +13.1958172.#+ 8.983726; 

 ^ 3 =/+26.3853904.^+ 9.939432. 



(467) 



J 



D =2 2 +44.9052274.#+596.989960 ; 

 Z>'=# 2 +52.1576683.#+608.070284; 

 £>''=0 2 +32.4642145.#+26O.9O92264 ; 

 Z> 1 =# 2 +43.8990384.#+172. 465387 ; 

 Z> 2 =<f+46.4946594.#+ 32.948855 ; 

 D z —g*-\- 3.4292114.^+ 1.69255259. 



M 



5=^+32.74835 J b ; 5 ' = j^+17.6069231 \ b 

 5"=j#+13.240952|Z> 



G =— j</+22.553639^ [9.4381189]6'; 1 



C =—^+17.6669357 1 [9.1138076]6'; [ 



C"=+[0.3976676]6'; [ 



C""=+[0.4411620]6'. J 



(468) 



(469) 



(470) 



