Theory of the Fireball

where Re is the outer edge of the layer. The original mass of the warm
layer m is much larger than that of the isothermal spnere
W
At a later time, the mass of the warm layer is then
It does not change much.
(6.24)
Tne tepperature in t'ne warn layer goes from 10,000 to l;OOOo, For
simplicity we assume that the density corresponds to the average temper-
ature of 7O0Oo. Then, at the initial pressure used in Table VI11 Y Pa -
4.1 bars, the density of the warm layer is p = 11 X
W Po = 14Pa.
This is much higher t'nan in Brode's calculations, Table VIII: In his
calculations, the cooling wave has not reached tne isothermal sphere;
with our assumptions it has, The difference is due to the different
opacities assumed; it has the consequence that our warm layer is geo-
metrically much thinner than his (Table VIII, last column) Subsequently
the density decreases with pressure, not adiabatically but isothermally;
in accord with Gilmore *s fornula (3.131, we assume