Changes between Version 15 and Version 16 of u/erica/JeansInstability
 Timestamp:
 06/21/13 12:26:02 (11 years ago)
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u/erica/JeansInstability
v15 v16 85 85 86 86 87 Thus we have found the condition on [[latex($\omega$)]] which gives unstable perturbation modes. Now, the growth rate of these modes is given by 87 Thus we have found the explicit form of the density perturbation. For [[latex($\lambda > \lambda_J$)]] , the density perturbation will be unstable and for [[latex($\lambda < \lambda_J$)]], the density perturbation will travel through the medium as a sound wave. 88 89 Now, the growth rate of these modes is given by 88 90 89 91 [[latex($\Gamma = [4 \pi G \rho_0 (1\frac{\lambda_J^2}{\lambda^2})]^{1/2}$)]]