deletions | additions       diff --git a/section_Creation_of_a_Magnetosphere__.tex b/section_Creation_of_a_Magnetosphere__.tex  index 778fa0a..d3ab47e 100644  --- a/section_Creation_of_a_Magnetosphere__.tex  +++ b/section_Creation_of_a_Magnetosphere__.tex 
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$(dt/dr)_ad = (\gamma - 1)/\gamma T_outer/P_c dP/dr$  and $dP/dr = -4/3\piG\rho^2R_inner$, $g=4/3\piG\rhoR_inner$, and the planet's central pressure $P_c = 2/3\piG\rho^2R_p^4$. Plugging in all equations and solving for $T_inner$, we find that  $T_inner > 1.035T_outer$  Plugging in $T_outer ~= 2400K$, we see that we will need a minimum temperature of $T_inner ~= 2500K$ in order to induce convection in the outer core and create a magnetic field.