Changes between Version 9 and Version 10 of u/SurfacePressureApprox

Timestamp:

10/18/13 17:19:30 (11 years ago)

Author:

Erica Kaminski

Comment:

—

u/SurfacePressureApprox

@@ -43 +43 @@
 = Dense Case = 
 
-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 fell 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
+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
 
 [[latex($P = F/A = \frac{GM_{be}M_{shell}(t)}{4 \pi R_{be}^2}$)]]