If v_e is escape velocity and v_0 is orbital | vedclass

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Question

For a spherically symmetric massive body such as a star or planet, the escape velocity for that body, at a given distance is calculated by the formula

Vedclass · Accepted Answer

${v_e}\, = \,\sqrt 2 {v_0}$

Vedclass · Answer

For a spherically symmetric massive body such as a star or planet, the escape velocity for that body, at a given distance is calculated by the formula$:$

$v_{e}=\sqrt{\frac{2 G M}{r}}$

For orbital velocity of a satellite in a circular orbit close to the earth's surface$:-$

$v_{0}=\sqrt{\frac{G m}{R}}$

Hence, $v_{e}=\sqrt{2} v_{0}$

If $v_e$ is escape velocity and $v_0$ is orbital velocity of satellite for orbit close to the earth's surface. Then these are related by

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