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Originally Posted by EWright
Can someone define for me the distribution of matter from an explosion in a vacuum far from any gravitational sources of influence please?
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How powerful is the explosion comparable to the force of gravity? In order to get an answer, I'll take the limit of a very powerful explosion symmetrically scattering lots of very lot particles. Furthermore, lets take the initial shape to be a spherical shell of some radius R. Now, the total mass in our system is constant (in the non-relativistic limit). So, we expect as the shell moves outward that:
4*pi*r^2 *S= M
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S = M/(4*pi*r^2). Here, M is the total mass, r is the current radius of the shell. S is the mass/area that we are looking for.
If you want the distribution as a function of time, replace r with the velocity of particles and the time. If you want an object with volume instead of a shell, build your sphere out of symmetric shells. Hope that helps.
-Will
