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\section{Creation of a Magnetosphere}  In order to retain this atmosphere, we will need to create a magnetosphere to shield Mars from solar wind and harmful cosmic radiation. Assuming Mars has constant density and a solid inner core and liquid outer core proportionally identical to the Earth's, we can create a dynamo by detonating nuclear weapons in Mars' inner core, thus inducing convection in Mars outer core.  To shield give  Marsfrom  the same amount of cosmic radiation protection from solar wind  as the Earth, we want Mars' magnetopause to be approximately 20 Mars radii away from its center: about the same distance from Earth's center to its magnetopause. $R_{Magnetopause}=(\frac{2B_0^2}{\mu_0\rho_{sw}v_{sw}^2})^{1/6}$