# Escape Velocity

Escape velocity, abbreviated as \(v_e\), is the minimum velocity required to leave a planet or moon or the minimum velocity to overcome the pull of gravity.

### Escape Velocity formula

(Eq. 1) \(\large{ v_e = \sqrt { \frac{ 2 \; G \; m}{r} } }\)

(Eq. 2) \(\large{ v_e = \sqrt { 2 \; g \; r } }\)

Where:

\(\large{ v_e }\) = escape velocity

\(\large{ m }\) = mass of the plamet or moon

\(\large{ r }\) = radius from the center of mass (plamet or moon) to start point

\(\large{ G }\) = universal gravitational constant

\(\large{ g }\) = gravitational acceleration (9.80665 m/s^{2} or 32.1740 ft/s^{2}, Earth only)

Tags: Equations for Velocity