862 
MR. Gr. H. DARWIN" ON" THE SECULAR CHARGES IN 
Now e 0 , the present eccentricity of the lunar orbit, is '054908. 
Whence 
Vo = 1 — v/i _ eo 2 = -001509 
logic 77 = 6-59007 —10, and the first approximation gave log 10 77 = 6'56788 —10 
Then 77 ='00038911 
Whence e='02789, at the end of the first period of integration. 
Second period of integration. 
From £=1 to '76. I was taken as 18° 45 '. 
A similar calculation gives 
<! sec I 
= '00817, the first part of K='06998, -fgfl — £ n )= '00500 
Whence 
log 77 = 5-31758— 10, and the first approximation gave log 77 = 5*27902 —10 
Therefore 77 ='000020777 and e='006446, at the end of the second period of 
integration. 
Third period of integration. 
From £=1 to 76. I was taken as 16° 13'. 
Then a similar calculation gave 
, 7 k 
n \-.fio sec r 
= '00566, first part of K = *12355, 
2 l 
%(l-f ll ) = -00027 
Whence 
log 77 = 4'06584 —10, and the first approximation gave log 77 = 4'00653 —10 
Therefore 77 =' 000001 1637, and e='001526 at the end of the third period of 
integration. 
