106 



SECULAR VARIATIONS OF THE ELEMENTS OF 



(2,2)=: g 13.072173 

 (o, :,)(, ,)_!_(, i) = _. 1.531958 

 Sum ={0+14.604131! 

 log. \ (o.O-K 3 - i)} = [0.7927855] 

 Therefore^*=- 17+14.604131! X 



[0.7927855]6 m . 



_(i,0= 011.3147682 

 (o,i)(i,)-t-(o,i)= 23.0739263 

 Sum =-{0+34.3886945| 

 log. { (o.O-M 3 - 2) | = [9.6907241] 

 Therefore F m =\ 0+34.3886945 } x 



[9.6907241JS'". 



(6,6)= 0+ 2.7662522 



(4,6X,0-K*.0= + 0.0142946 

 Sum ={0+2.7805468! 



log. { (4, 0-K 7 . Oj =[1.5514854] 

 Therefore F 3 = {0+2.7805468! X 

 [1.5514854]6 4 . 



-(5,5)= 018.5962129 



(4.,0(a,0-H>,)= 27.1673827 

 Sum ={0+45.7635956! 

 log. {(4,6)^(7, 6)| [9.4626364] 



Therefore JP 4 = {45.7635956+0! X 

 [9.4626364]Z> 4 . 



Computation of the Equations of the fourth dejree. 



(3,i)(i, 2 )(o,o)(3,3)= 35.3483155.0 4 817.363351.0 3456 



- (3,2)(2,s)(o,o)(i,i)= 0.5237732.0 2 - 8.843924.0- 33 



- (i,o)(o,i)(2,2)(3,s)= 0.5272484.0 2 - 16.147000.0- 120, 



- (s.i)(i,3)(o,o)(2,2)= 0.0493054.0 2 - 0.919173.0- 3, 



(2,0)(0,2)(1,1)(3,3) = 0.0350059.0 2 - 



- (3,o)(o,3)(i,i)(2,2)= 0.0002174.0 2 - 



+2(3, 2)(2,l)(l, 3)(0, 0) = 

 +2(2,0)(0, 1 )(1,2)(3,3)= -. 



+2(3, OO.oXo, 3X2,2)= - 



+ 2(3,0)(0,2)(2,3)(1,1)= 



+ (,,0X0,0(3,0(2,3) = 



1.010537.0 

 0.005302.0- 

 1.910880.0- 

 1.615446.0- 

 0.004755.0- 

 0.003993.0- 



(2,0)(0,2)(3,00,0 = 



(i 







10 

 28 

 





 

 







2(3,0)(0,2)(2,0(1,0= 



Sum of preceding terms = 36.483865S.0 2 847.824361.0 3659 

 Add (o,o)(i, 0(2, 0( 3 -0= 



4 +47.5100615.0 3 +809.5847278.0 2 +5804.515976.0+14461, 

 Sum is the value of equation (53). 

 Whence we get 



0<+47.5100615.0 3 +773.1008620.0 2 ) , ( 



+4956.691615.0 +10801.93370 J " 

 In like manner \ye get 



- (, 0(4, 0(, 0('. 0=1 34.9642669.0' 460.796228.^ 241.911599 



- (.0(i,0(4,4)(T,7)=_ 0.3883479.0 2 - 3.169047.^- 1.890359 



(7, 0(6, 7)(4,4)(,)=- 0.1131268.0 2 - 2.953581.^ 15.804014 



(,0(<-")( s ,)( 7 ' 7 )=- 0.0710140. ry 2 - 1.366608,9- 0.855687 



- ('.0( 6 - 7 )(' 4 X 6 ' 6 )= 0.0142805..7 2 - 0.146774.'^- 0.296764 



('.00.0( s ' 8 )(".)= 0.0043007./ 0.091874.'^ 0.2212^7 



.144265 



.01142 



,97930 



,59019 



,95240 



.03216 



,64409 



35570 



,06216 



.04518 



,27616 



00768 



00173 



,09214 



04366 



00728 



67438 



60808 



