Escape Velocity in terms of Gravitational Constant

Theorem

Let $P$ be a planet.

Let $P$ have:

a mass of $M$

a radius of $R$.

Then the escape velocity of $P$ is given by:

$V = \sqrt {\dfrac {2 M G} R}$

where $G$ is the gravitational constant.

Proof

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Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): escape speed (escape velocity)
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): escape speed (escape velocity)