Theory of the Fireball
Theory of the Fireball
Theory of the Fireball
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-p-= 1.2 R J<br />
50 t ,<br />
Because <strong>of</strong> <strong>the</strong> steep dependence <strong>of</strong> ternperatwe on R, (3.16)~ <strong>the</strong> radi-<br />
(3.29)<br />
ating surface R will be close to <strong>the</strong> shock front Rs. NOW <strong>the</strong> Hugoniot<br />
relations state that for close to 1<br />
is = (?)I/* (3.30)<br />
where p is <strong>the</strong> ambient density and p = 2p, tne shock' pressure. Fur<strong>the</strong>r-<br />
1 S<br />
more, for <strong>the</strong> strong shock case,<br />
Rs - t 0.4<br />
4<br />
The black body radiation at temperature LO T' is<br />
JO<br />
= 5.7 X ~f~ erg/cm<br />
2<br />
sec<br />
(3.33)<br />
Actually, only tine radiation up to about hvo = 2.75 ev can be emitted to<br />
large distances because tne absorption is too great for radiation <strong>of</strong>