Escape Velocity Calculator
Escape Velocity

A closely related idea to that of orbital velocity id escape velocity.  As long as you don't give an object any more kinetic energy than potential energy it will remain bound in a closed orbit around its parent body.  If you increase the kinetic energy too much, however, the object will be able to escape "to infinity" and still have some left-over motional (kinetic) energy.  Another way of saying this is that if an object moves fast enough it will have enough energy to escape from the gravitational pull of its parent body.  It is very easy to determine the escape velocity needed to escape from a gravitation object. The following is an Astro 210 derivation:
The maximum work done on a satellite of mass 'm' falling from infinity to the surface of a planet or star of radius 'r' and mass 'M' is just the gravitational potential energy = -GMm/r.  If we "reverse" out thinking we can see that if we give an object enough kinetic energy (1/2mv2) then it can "go back up" to infinity and still be moving.  This means it has escaped and will never return.  So...

1/2mv2 -GMm/r >= 0
implies
v >= sqrt(2GM/r)
vescape = sqrt(2GM/r)

Enter the mass and radius of the "parent" body then click
 
Radius (m)
Mass (kg)
Escape Velocity (m/s)
(Note: in order to enter numbers in scientific notation use the 'e' symbol, that is 6.3 x 105 would be keyed in as 6.3e5)
Some Useful Data:
 
Parent Body
Mass (kg)
Radius (m)
Earth
5.98 x 1024
6.38 x 106
Moon
7.35 x 1022
1.738 x 106
Jupiter
1.90 x 1027
7.15 x 107
Sun
1.989 x 1030
6.96 x 108
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