186 
MR. W. M. HICKS OH THE STEADY MOTIOH AUD 
Therefore 
'bjA 2a°-MTJ c 
\bu)~ y/(2k) 
{ 2 (C-c) f ^ 1_ *~ C0S 2i, ^(C-c)’(^E 0 + ^ R, C0S 2t ')} 
and 
^^ =^^{2-2 cos 2. + (C-c) (£+15 | cos 2, 
0 V(2fc) 1 
a 2 S \bw 
The principal term here is 
MU, 
4k 
CP, 
CPo 
2 —2 cos r+-=“+15 — cos 2v 
R 
R a 
MTT / 9T 
-'9,-2 cos 2r+10 cos 2v 
4k 
L —2 
MU 0 / 1 
— 2 cos 2-y 
* \L —2 
It remains now to determine a, /3, y to the same order of approximation, that is 
far as the first power of k, 
kx+—B,k 
■hx+ A A 
27T 
Jo 
= -k(x 0 +Sx)+i^-%(4x 0 -l)k-^4x 0 -l-^^k-{x Q k+^^(B 0 K *)} o | 
-A U 
27T dw 
Now 
therefore 
therefore 
du 
P P 
P> — _1 A ] _SA —1 
- D 0 S-^Op/ 4' £i lp/ 
K 0 ^1 
pp dl\ 
(V*)=p 0 k^-k~U lAo^+fA^ 
Rh 
1 ^ /T> — A\ 
2 t^ B ° K ^ 0_ 
r ■ 
itp-t( ta o-l)pli+5 
k~ l 
so 
