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 formulas

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

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

\(\large{ v_e =  g \; r^2  }\)

Where:

Units	English	Metric
\(\large{ v_e }\) = escape velocity	\(\large{\frac{ft}{sec}}\)	\(\large{\frac{m}{s}}\)
\(\large{ g }\) = gravitational acceleration	\(\large{\frac{ft}{sec^2}}\)	\(\large{\frac{rad}{s^2}}\)
\(\large{ m }\) = mass of the plamet or moon	\(\large{ lbm }\)	\(\large{ kg }\)
\(\large{ r }\) = radius from the center of mass (plamet or moon) to start point	\(\large{ ft }\)	\(\large{ m }\)
\(\large{ G }\) = universal gravitational constant	\(\large{\frac{lbf-ft^2}{lbm^2}}\)	\(\large{\frac{N - m^2}{kg^2}}\)