﻿Mr. A. Bramley on Radiation. 721 



We shall suppose that the charged system is rotating in 

 the XY plane around the origin as centre with uniform 

 circular motion. Transforming to coordinates moving with 

 the charge we have x = r cos cot, i/ = r sin cot, or calling (ot = 

 we have 



o_bi , i y ,i8 v 



But 





b 2 * , la^ , a s ^ , /i o) 2 \^ 2 c/) 



thel1 §P + r^ + 5^ + b^^)p^ = -^ 



or 



0''^ r 0r O* »• 00 



Now let ^ = 0/ V1-/S 8 , 



, 3 S <6 ld<A 3*A 1 d 2 <£ 



we have ~-£ + - 5 1 + ~ + ~, ~yh = — p, 



Qi r or 0? 1* oOi 



since the terms involving the velocities are negligible in 

 comparison with the other terms. 



which is very probably the case for small oscillations 

 then w + t ^— =(o-\-kt~ l . 



ot 



But the time during which the electron is oscillating is so 

 great that kt~ l < < co, 



o 2 2 d 2 

 oT 2=w SF- 

 Phil. Mag. S. 6. Vol. 44. No. 262. Oct. 1922. 3 A 



