If ${v_e}$ and ${v_o}$ represent the escape velocity and orbital velocity of a satellite corresponding to a circular orbit of radius $R$, then
${v_e} = {v_o}$
$\sqrt 2 {v_o} = {v_e}$
${v_e} = \frac{v_0}{\sqrt 2 }$
${v_e}$ and ${v_o}$ are not related
If ${v_e}$ and ${v_o}$ represent the escape velocity and orbital velocity of a satellite corresponding to a circular orbit of radius $R$, then
${v_e} = \sqrt {2gR} $ and ${v_0} = \sqrt {gR} $
$\,\sqrt 2 \,{v_0} = {v_e}$
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