Changes between Version 14 and Version 15 of PlanetaryAtmospheres

Timestamp:

08/28/15 15:54:50 (9 years ago)

Author:

Jonathan

Comment:

—

PlanetaryAtmospheres

@@ -64 +64 @@
 and numerically solve the following 3 equations for $\xi_s$, $\lambda_s$, and $\chi$
 
-|| $\xi_{BH}=\frac{2 \xi_s}{\psi\left ( \xi_s^{-1} \right) + \frac{q+1}{q} + \frac{1}{q \lambda_s}}$ ||
-|| $\chi_{bow}=\chi \frac{\phi \left ( \frac{\xi_{bow}}{\xi_p} \right )}{\phi \left ( \frac{1 - \xi_{bow}}{\xi_s} \right ) }$ ||
-|| $\frac{1+\psi\left ( \frac{ 1 - \xi_{bow}}{\xi_s} \right )}{1+\psi \left ( \frac{\xi_{bow}}{\xi_p} \right )} = \frac{q \lambda_s \xi_s \chi_{bow}}{\lambda_p \xi_p \chi}$
+|| $\xi_{BH}=\frac{2 \xi_s}{\psi\left ( \xi_s^{-1}, \lambda_s \right) + \frac{q+1}{q} + \frac{1}{q \lambda_s}}$ ||
+|| $\chi_{bow}=\chi \frac{\phi \left ( \frac{\xi_{bow}}{\xi_p}, \lambda_p \right )}{\phi \left ( \frac{1 - \xi_{bow}}{\xi_s}, \lambda_s \right ) }$ ||
+|| $\frac{1+\psi\left ( \frac{ 1 - \xi_{bow}}{\xi_s}, \lambda_s \right )}{1+\psi \left ( \frac{\xi_{bow}}{\xi_p}, \lambda_p \right )} = \frac{q \lambda_s \xi_s \chi_{bow}}{\lambda_p \xi_p \chi}$