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Theory of the Fireball

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I<br />

using (5.25) md y = 1.13 to 1.20. A given material element vllich went<br />

through <strong>the</strong> cooling wave at temperature T' and pressure p Trill now (at<br />

m m<br />

pressure p) have <strong>the</strong> temperature<br />

oe<br />

Tt = pm<br />

If we assume Tm to be independent <strong>of</strong> time, <strong>the</strong>n at a given tfme in Cne<br />

adiabatic region (Tv, <strong>of</strong> Fig. 2)<br />

2<br />

as defined in Sec. l;b. Since we now use material coordinates in gm/cm ,<br />

we should use mean free paths in <strong>the</strong> same unit. Table VI and (4.10) md<br />

(lk.12) give tine required information. We mite (4.12) in <strong>the</strong> form<br />

57<br />

...

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