92 



APPENDIX 3 CALCULATIOKS OF THE RATE OF 

 RADIATION OF EIJERGY 



In this Appendix the rate of radiation of energy 

 from the pulsating bubble will be calculated on the assump- 

 tion that the rate of enercy loss is so s::iall that it has 

 a nocliui^lG effect on the course of the motion. This 

 assumption v/ill turn out to be somewhat rough near the first 

 minimum or tviro, but the calculations hore will at least 

 indicate the order of macnitude of the energy loss. Our 

 starting point v/ill be equation (20) of Appendix 2. As 

 explained there, it is a fairly good approximation to 

 neglect the ^/c on both sides, so vie v/rite the equation 





5 

 a da (1) 



The left of (1) differs only by an additive constant from 

 the left of equation (5) of Section. 3 of the text: It thus 

 represents the kinetic and potential energy v/hich v/ould be 

 present for the motion of a bubble in sin incompressible 



