435 
K,/a> - 1/z - a K,¢g) = O 
2 
Ko = t+ «(Z,-0/2%,-a5,/2 
Kila) = (2,.-1/22, + Ly lg)+ Rd, (5,20) 
A 28, / By ) Gg; re O4/7C,. 
We may call Rilre) the dissipation factor, since it specifies the ratio of 
the peak value G, (¢,) at the point f{ to the initial value Gq (0) 
of G,(t) on the gas-sphere surface. The part of the wave emitted from 
the gas-sphere surface in the time interval t; is destroyed before the 
wave reaches the point R . Solution of Eq. 520 yields 
2K, 
I+ [r+ dak, Keg) ] 
Eqe 521 is strictly a transcendental equation for G% » Since a 
K(%,) = (5.21) 
depends upon (55, through x » and K } and K, depend upon (a through 
the integrals J, and J, . Given G,(t) » one may solve it exactly by 
graphical methods or by successive approximation. However, in most cases 
of interest to us, Je and ah can be neglected in comparison with the 
other terms in K. and K, without significant error. Moreover when the 
peak formula, 
aie ies Gace 4 (421) 
discussed in Section 4, is employed for G (t) » we have 
can cod ner) (5422) 
Iv 
48 
