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Jordan Sligh edited section_Creation_of_a_Magnetosphere__.tex
over 8 years ago
Commit id: 8978e5389a23fb2f33dbc008a218de992f80aaf7
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where $\rho_c$ is the charge density of the outer core and $\omega = 2\pi/2t_"con"$ where $t_con$ is the convective timescale.
$t_con$ is mathematically related directly to the adiabatic gradient, and using
this we can find the necessary inner core temperature $T_inner$ as a function of the the outer core temperature $T_outer$.
Consolidating the necessary equations we find that
$$t_con = [T_outer/g((dT/dr)_ad-\deltaT/\deltar)^-1]$$