Changes between Version 14 and Version 15 of u/erica/JeansInstability
- Timestamp:
- 06/21/13 12:21:45 (11 years ago)
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u/erica/JeansInstability
v14 v15 105 105 for finite [[latex($\lambda_J$)]] (i.e. pressure gradients are null/gravity dominates), the characteristic collapse time becomes 106 106 107 [[latex($\tau = [\frac{1}{4 \pi G \rho0}]^{1/2} ~ \frac{1}{2}t_{ff}$)]]107 [[latex($\tau = [\frac{1}{4 \pi G \rho0}]^{1/2} \sim t_{ff}$)]] 108 108 109 where [[latex($t_ ff$)]] is the freefall time for a spherical region of uniform gas.109 where [[latex($t_{ff}$)]] is the freefall time for a spherical region of uniform gas. It is interesting that if you calculated the proportionality constant, you'd see that [[latex($\tau \sim \frac{1}{2} t_{ff}$)]]. 110 110 111 111 = Writing a module to test self-gravity using the Jeans Instability =