Theory of the Fireball

2
vitn A = 0.1G q/cm and n = 6.3.
The optical depth is, according to (5.32) and (7.33)
x1
1 4 *n
1 ut Y * P - 1
1
Setting D = 1, y = 1.15, A = 0.10, and n = 6.5 gives
0
(5.34)
Tnis is m explicit expression for 'tne radicting temperature in terms of
tne velocity of the cooling wave. Tae latter depends in turn on the
radiating temperature, increasing with Tp4 so tnat T ' occurs altogether
1' 1
in tne 10.2 power and t'nus can be determined very accurately.
Equation (3.s) can be further reduced by using tne relation between
pressure and time wIxLch is, for a strong shock, approximately