Free Escape Velocity Calculator
Calculate the minimum velocity needed to escape a gravitational field using v = sqrt(2 * G * M / r).
kg
m
Escape Velocity
11,185.98 m/s
Escape Velocity (km/h)40,270 km/h
Escape Velocity vs Mass of Celestial Body
Escape Velocity
Escape velocity is the minimum speed an object must have to permanently leave a gravitational field without further propulsion.
Derivation from Energy Conservation
Setting kinetic energy equal to gravitational potential energy:
(1/2)mv² = GMm/r
Solving for v: v = sqrt(2GM/r)
Note that escape velocity is independent of the escaping object's mass.
Example Calculation
Escape velocity from Earth's surface.
- 01v = sqrt(2 * G * M / r)
- 02v = sqrt(2 * 6.6743e-11 * 5.972e24 / 6.371e6)
- 03v = sqrt(1.251e8)
- 04v ≈ 11,186 m/s ≈ 40,270 km/h
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