Escape Velocity Calculator

Find the speed needed to escape a planet's gravity.

Inputs

kg
m
Formulas
v = √(2·G·M / r)

Results

Escape velocity m/s
Escape velocity km/s

What is escape velocity?

Escape velocity is the minimum speed an object needs to break free from a body's gravity without further propulsion. It comes from setting kinetic energy equal to gravitational potential energy, giving v = √(2GM/r), where G is the gravitational constant, M the mass of the body, and r the distance from its centre.

v = √(2·G·M / r)

How to use this calculator

Enter the mass of the planet or star and its radius. The default values are for Earth, giving an escape velocity of about 11.2 km/s. Notice that escape velocity is independent of the escaping object's mass, so a rocket and a pebble need the same speed to leave a planet behind.

Frequently asked questions

Does escape velocity depend on the object's mass?

No. The escaping mass cancels out, so all objects need the same escape speed from a given body, regardless of how heavy they are.

What is Earth's escape velocity?

About 11.2 km/s, or roughly 40 000 km/h, ignoring air resistance and the Earth's rotation.

Read the full guide