300 Journal of the Asiatic Society of Bengal. [N.S., XVIII, 
The azimuthal period Peat therefore the phase-integral 
Y 
n! - Qn 
p dpdpy= 7 op 
0 
0 




mM > n 
=2r) EP = | on/p=p,? 
Ae ee 
0 0 
Ie /p?—p2=wh. 
For the phase-integral | $ dtsH we integrate the bilinear 
form over the whole orbit and obtain 
2r 
TSH = p, da, ~ b v.24, | — . dp 
P SRC OM Oc sat bA 
P “Hate 
But b p81, |=[ av) a Tae A*(1 + € cos ae 


de Cos yo « sin yp a 
A(l+e cos yp)? A(l+e cos ver 
Tso = al of 7. +20 V/ p— At 
Sommerfeld evaluates 
§ 7,00, =220/P BH) Ff 
T3H = Aye Pm |, 
a pp es 
p=ene 
from ick. we obtain 
Py. Ae, 


= (say) 

T= fog: 
So” ae _ ses nh 
{ 00- 2e(pag) am See 
0 
. Pr nh 
n 
a eee eee een 
Moe J/ nth® me 4n*p* 

