Manchester Memoirs, Vol. Ivii. (191 3), No. 4. 

 Putting sin = sin a sin we have 



T TT 



J Sin o cos (b J 



n 



j sin o cos <p 

 where A= (i - sin^i sin-*/))^ and this ma\' be put, 



c'M=i, (7) 



For the energy {e) we substitute the value of -- 

 derived from equation (6), in equation (4) and obtain — 



^„ /"(sm-a - sin^e)^^ 



e = — 

 2 



J (sin'd - sin*9) ^ ^d6 

 Putting sin f^ = sin f< sin we have 



IT 



, IK . , I COS0 



J A 



IK 



sin'a/'" - I df 



./^]|;-coa| (8) 



