Changes between Version 19 and Version 20 of u/erica/JeansTest

Timestamp:

07/01/13 11:22:24 (12 years ago)

Author:

Erica Kaminski

Comment:

—

u/erica/JeansTest

@@ -52 +52 @@
 
 [[latex($\frac{d}{dx} v_1 = -\frac{1}{\rho_0} \frac{\partial \rho_1}{\partial t} = - \frac{1}{\rho_0} e^{ikx}\Gamma e^{\Gamma t}$)]]
+
+where [[latex($\Gamma$)]] is the growth rate given by
+
+[[latex($\Gamma = [4 \pi G \rho_0 (1- (\frac{\lambda_J}{\lambda})^2)]^{1/2}$)]]
+
+(cf. [https://astrobear.pas.rochester.edu/trac/astrobear/wiki/u/erica/JeansInstability#UnstableModes growth rate])
 
 [[latex($\frac{d}{dx} v_1 = - \frac{\Gamma e^{\Gamma t}}{\rho_0} cos(kx)$)]]