If the radius of a planet is $R$ and its density is $\rho $, the escape velocity from its surface will be
If the radius of a planet is $R$ and its density is $\rho $, the escape velocity from its surface will be
${v_e} \propto \rho R$
${v_e} \propto \sqrt \rho R$
${v_e} \propto \frac{{\sqrt \rho }}{R}$
${v_e} \propto \frac{1}{{\sqrt \rho R}}$
If the radius of a planet is $R$ and its density is $\rho $, the escape velocity from its surface will be
${v_e} = R\sqrt {\frac{8}{3}G\pi \rho } $
${v_e} \propto R\sqrt \rho $
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