Changes between Version 14 and Version 15 of u/erica/JeansInstability


Ignore:
Timestamp:
06/21/13 12:21:45 (11 years ago)
Author:
Erica Kaminski
Comment:

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  • u/erica/JeansInstability

    v14 v15  
    105105for finite [[latex($\lambda_J$)]] (i.e.  pressure gradients are null/gravity dominates), the characteristic collapse time becomes
    106106
    107 [[latex($\tau = [\frac{1}{4 \pi G \rho0}]^{1/2} ~ \frac{1}{2} t_{ff}$)]]
     107[[latex($\tau = [\frac{1}{4 \pi G \rho0}]^{1/2} \sim t_{ff}$)]]
    108108
    109 where [[latex($t_ff$)]] is the freefall time for a spherical region of uniform gas.
     109where [[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($\tau \sim \frac{1}{2} t_{ff}$)]].
    110110
    111111= Writing a module to test self-gravity using the Jeans Instability =