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Theory of the Fireball

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equired mean free path <strong>of</strong> visible lignt at <strong>the</strong> radiating temperature<br />

2<br />

(also in gm/cm ) which in turn determines T~ itself.<br />

8<br />

We take <strong>the</strong> initial conditions from Brode, using his ernes at a<br />

time when <strong>the</strong> inside pressure is 4.1 bars, this being closest to p = 5<br />

a<br />

bars <strong>of</strong> all <strong>the</strong> curves he nas published. This corresponds to a scaled<br />

(1-megaton) time tc = Oo32> sec. At this time, important p'hysical guan-<br />

tit ies are as given in Table VI11 ( dimensions scaled to 1 megaton) o The<br />

last column <strong>of</strong> <strong>the</strong> table is not given by Brode but will be explained in<br />

Sec. 6c. In <strong>the</strong> table, we have defined a quantity proportional to <strong>the</strong><br />

mass,<br />

0<br />

J<br />

where R is measured in hundreds <strong>of</strong> meters. It is interesting that <strong>the</strong> mass<br />

<strong>of</strong> <strong>the</strong> warm layer is much (4.6 times) larger than that <strong>of</strong> <strong>the</strong> iso<strong>the</strong>rmal<br />

sphere. Its volwne is about 2.4 tfmes larger in Brode 's calculations.<br />

Table VIII. Conditions When Cooling Wave Reaches Iso<strong>the</strong>rmal<br />

Sphere, According to Brode<br />

Iso<strong>the</strong>rmal Warm Layer<br />

Sphere Brode Sec. 6c<br />

Outer radius, meters 38.5 517 438<br />

Mean temperature T' 3.0 0.70<br />

1

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