Changes between Version 9 and Version 10 of u/SurfacePressureApprox
 Timestamp:
 10/18/13 17:19:30 (11 years ago)
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u/SurfacePressureApprox
v9 v10 43 43 = Dense Case = 44 44 45 The idea is that we have an initial uniform sphere (the ambient) that is collapsing because it is jeans unstable (this is the case for the Matched, 1/3, 1/10 cases). After some time t, a shell of the uniform sphere has f ellonto the BE sphere material. We can assume it piles up into a thin shell (negligible thickness) at r = Rbe. Then we can calculate the pressure from this shell as45 The idea is that we have an initial uniform sphere (the ambient) that is collapsing because it is jeans unstable (this is the case for the Matched, 1/3, 1/10 cases). After some time t, a shell of the uniform sphere has fallen onto the BE sphere material. We can assume it piles up into a thin shell (negligible thickness) at r = Rbe. Then we can calculate the pressure from this shell as 46 46 47 47 [[latex($P = F/A = \frac{GM_{be}M_{shell}(t)}{4 \pi R_{be}^2}$)]]