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Jordan Sligh edited section_Creation_of_a_Magnetosphere__.tex
over 8 years ago
Commit id: 4f7e56ee91f9c66c21a999aada6f26b9196fc183
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$(\frac{dT}{dr})_{ad} = \frac{\gamma-1}{\gamma} \frac{T_{outer}}{P_c} \frac{dP}{dr}$
and $\frac{dP}{dr} = -\frac{4\pi}{3}G\rho^2R_{inner}$, $g=\frac{4\pi}{3}G\rhoR_{inner}$, and the planet's central pressure $P_c =
\frac{2\pi}{3}G{\rho}^2R_p^4$. \frac{2\pi}{3}G{\rho^2}R_p^4$.
Plugging in all equations and solving for $T_{inner}$, we find that