464 
é 
where y G sorte! | 
2 (2 — Fe alll ; 
Ln) =( 3 nt] aba U*2 (14 9 G hes 
peony) oc 2G 
fq) = (2% )] 5 fn AU" res) ia ale 2 
The quantities L(t) I] CB » and NE) are listed in Table 8.1 as 
functions of B, /B » and the auxiliary quantities GE), 4 (ee 
Gee ? and U/e, are listed in Table 8,2 as functions of the same 
ee eumenteee/ The integration of Eqs. 8.24 by numerical methods is easily 
carried out by standard procedures,20/ 
It is of interest to examine at once the asymptotic form of the 
solutions of Eqs. 8.22 or 8.24 for small excess pressure i « The normal- 
ization of the coefficients of Eqs. 8.24 has been so arranged that 
zim (b,, 70) LABS = 
tin (Fa —> ©) M(B) 
1m (fe = o) N (Pea) = | 
The asymptotic equations are 
. ie aa 
oly yY (8.25) 
Cee 
Se J 
AR 
with the integrals, ~t/Z 
Tb, = Fle RR] 
(8.26 
Bates, 
2 S. R. Brinkley, Jr., and J. G. Kirkwood, OSRD Report 5649 (1949). Tab-= 
ulated values of the impulse (infra) listed in this report contain a 
systematic numerical error. The shock-wave impulse should be separate- 
ly calculated by Eq. 83h. 
30/ For example, see J. B. Scarborough, Numerical Mathematical Analysis; 
Johns Hopkins Press, Baltimore, Md. (1930), pp. 218 ff. 
75 
