Escape Velocity

Written by Jerry Ratzlaff on . Posted in Classical Mechanics

velocity escape

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

 

Tags: Equations for Velocity