Escape Velocity

Written by Jerry Ratzlaff on . Posted in Classical Mechanics

velocity escapeEscape velocity ( \(v_e\) ) 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

\(\large{ g = \frac{Gm}{r^2}  }\) = acceleration due to gravity

\(\large{ G m = g r^2 }\) = acceleration due to gravity

 

Tags: Equations for Velocity