Changes between Version 14 and Version 15 of u/SurfacePressureApprox
- Timestamp:
- 10/18/13 17:23:57 (11 years ago)
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u/SurfacePressureApprox
v14 v15 53 53 [[Image(graphic.png,55%)]] 54 54 55 Since for uniform collapse , we can numerically solve for R(t),and the uniform rho(t) of the collapsing sphere, we can calculate the mass of the shell outside of the BE sphere,55 Since for uniform collapse we can numerically solve for R(t) and the uniform rho(t) of the collapsing sphere, we can calculate the mass of the shell outside of the BE sphere, 56 56 57 57 … … 68 68 I used mathematica to numerically solve the equation of motion for a uniform sphere as given in Carroll and Ostlie, and checked the solution was correct against a result they published in that book. For the 1/50 case, the function R(t) looks like, 69 69 70 [[Image(rff.png)]] 70 71 71 72 rho(t) looks like 73 74 [[Image(rhoff.png)]] 72 75 73 76