deletions | additions       diff --git a/section_Creation_of_a_Magnetosphere__.tex b/section_Creation_of_a_Magnetosphere__.tex  index 1dbc822..118a5ea 100644  --- a/section_Creation_of_a_Magnetosphere__.tex  +++ b/section_Creation_of_a_Magnetosphere__.tex 
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$(\frac{dT}{dr})_{ad} = \frac{\gamma-1}{\gamma} \frac{T_{outer}}{P_c} \frac{dP}{dr}$  and $\frac{dP}{dr} = -\frac{4\pi}{3}G\rho^2R_{inner}$, $g = \frac{4\pi}{3}G\rhoR_{inner}$, \frac{4\pi}{3}G\rho^2R_{inner}$,  and the planet's central pressure $P_c = \frac{2\pi}{3}G\rho^2R_p^4$. Plugging in all equations and solving for $T_{inner}$, we find that