I 



96 



total energy s - / , j, \ — -^ — ^ — ' jv - v ' ^ . ^ ■ ■ ■^; » m i» «». — ^lo^ 

 radieted (i^TT^ T ^IHI ) ^^WT^ ^^^^ 



If v;« set 





47r rr.in max 



3 (IS-- 1) * 

 (12) takes the more convenient form 



Fraction ^^ / 2 r (5/2)K-§T^J LZEH n•A^ 



radiated = ^^7 3( ^^ -1) ~;^~7TZI^\^ ~T=^ ^^^^ 



' ' 2r-2 



The coefficiont of ] -IHS^/c has the values 



Coefficiont 



1.2 1.6 



1.6 3.0 



2.0 3.8 



It must be remembered, of course, that (13) will not be 

 exactly correct even for a spherically symmetrical motion, 

 because we have ignore-i the modification of the motion 

 produced by the radiation and by other dissipative mechanisms. 



When asymmetrical influences are present, the radiated energy 



2R 

 may be very much less, as Taylor has shown, because the 



bubble will not shrink to so small a radius. 



28 



See the article by Taylor in this Volume, 



