Escape Velocity Calculator
Calculate escape velocity, orbital velocity, and gravitational parameters for celestial bodies.
Inputs
Results
Escape Velocity
11.19 km/s
Orbital Velocity
7.91 km/s
How to Use This Calculator
- Enter the Mass (Earth masses) of the body — Earth is 1, Mars is 0.107, Jupiter is 317.8.
- Enter the Radius (Earth radii) of the surface or object — Earth is 1, the Moon is 0.27.
- Set the Orbital Distance (Earth radii) from the center for computing circular orbital velocity at that altitude.
- Read Escape Velocity (km/s): Earth's surface value is 11.2 km/s; this is the speed needed to leave the body entirely.
- Note the Schwarzschild Radius (m) output — if the object's physical radius were compressed to this size it would become a black hole.
How the result changes with Mass
| Mass | Escape Velocity | Orbital Velocity |
|---|---|---|
| 100 | 111.86 km/s | 79.1 km/s |
| 350 | 209.27 km/s | 147.98 km/s |
| 650 | 285.19 km/s | 201.66 km/s |
| 900 | 335.58 km/s | 237.29 km/s |
What each input means
- Mass
- Mass of celestial body
- Radius
- Radius of celestial body
- Orbital Distance
- Distance from center for orbital escape
How this is calculated
Formula
v_escape = √(2GM/r)Worked example, using the default values
- Identify Input ParametersMass = 1, Radius = 1, Orbital Distance = 1 = 3 input(s) provided
- Calculate Escape VelocityEscape Velocity11.19 = 11.19
- Calculate Orbital VelocityOrbital Velocity7.91 = 7.91
- Calculate Escape from OrbitEscape from Orbit11.19 = 11.19
- Calculate Surface GravitySurface Gravity9.82 = 9.82
Engine last updated . Checked against 4 independently-derived tests — how we verify calculators.
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