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t andtd ght) the kinetic enthalpy of the water at this surface. Due to the 
rapid decrease of G,(t), it can be adequately represented by the peak formula, 
-t/@ 
Gye) eI Fe tas 
g, = @, rs ) (1.1) 
 #* 
Coe rabies Cd <, + Ke) 
q” Ww, Peg tt CDG 
where the subscript 1 denotes initial values of the several quantities on 
the gas sphere surface of initial radius a,;W,, Va » Cy; are the enthalpy, 
density, and sound velocity in the water, gle and Cr. the density and sound 
velocity in the gas, and J, and Te are factors of magnitude unity for which 
explicit formulas are given in the text. All quantities are functions of 
the initial pressure p, . After long times the peak formula ceases to be 
valid and G,(t) varies as (1+ t/02)/, but this behavior affects only the 
tail of the shock wave. 
In the section 5, the development of the kinetic enthalpy 
propagation theory is completed by the evaluation of the spread parameter and 
the dissipation parameter, The significance of these quantities is described 
in the text. In section 6, the asymptotic behavior of the pressure wave 
is discussed. At distances exceeding about 25 charge radii from the 
center of the charge, the pressure f is given by the asymptotic formula 
psx pe Wes 
P, = yi Duco a rags i geome (22) 
QO= Gi CA e.), 
where is the time measured from the instant of arrival of the wave at R. 
The dissipation parameter Y CA )ana the spread parameter r¢ R) are slowly 
varying functions of R, for which simple algebraic formulas are given, and 
