Jordan Sligh edited section_Creation_of_a_Magnetosphere__.tex  over 8 years ago

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Because the convecting currents which generate the magnetosphere are complex and occur within the spherical outer core, we will simplify our calculations by approximating Mars' outer core as a single gigantic rotating cylinder with radius $(R_"outer core" - R_"inner core")/2$ and height $2R_"outer core"$. With this approximation, we find Mars' magnetic dipole moment to be  $$B_0 = \rho_c\omega\mu_0[(R_"outer core"-R_"inner core")/2]^4*2R_"outer core"/16\pi$$ 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