676 Mr. G. A. Schott on Radiation from Moving Systems 

 By equations (1) of § 5 these become 



Y/*e=Y' + ^ I/- ^N'- ~ Y', 



u { v' TJ u' 



The equations o£ motion become, if m be the mass o£ the 

 electron, 



d /mu 

 di\e 



! )=^'+^'-u M ' + ?(o Y '^ z ') 



1 d /mv\_ v , ^ T /^ 1N r/_n^V' 



1 (i A J 



*^v *7 cc a c 



ld_/mw\ _ r7 , , u f lijrl _v T/ __TJu l T7/ 



Kdt 





Equations (2) show that (I/, M', N') are determined from 

 the position and velocity of the corresponding electron in the 

 system of reference (£') just as for a system of rest, but 

 (X', Y', Z') have additional terms 



U/BF 5F 3F\ 



Denote by suffix the values of the forces in the case of a 

 system at rest, but with the actual relative velocities of its 

 electrons. Then 



Further, write 



q = y/u* + v* + vF, q^x/a'z + v'z + ic' 2 ; 

 since 



U 2 

 u=K Q u l , v = kv', w — kw\ q = K\/ q' 2 — -™u /2 — /cq f A, 



where , , , t A U 2 



W ' = 2 COS-f, A=A y / l-^COS 2 l/r. 



The mass m is a function /(V), where V is the velocity of 

 the electron, and is given by 



