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Calcimator

Escape Velocity Calculator

Calculate escape velocity, orbital velocity, and gravitational parameters for celestial bodies.

Inputs

Earth Masses
Earth Radii
Earth Radii

Results

Escape Velocity

11.19 km/s

Orbital Velocity

7.91 km/s

Escape from Orbit11.19 km/s
Surface Gravity9.82 m/s²
Schwarzschild Radius0.009 m
How to Use This Calculator
  1. Enter the Mass (Earth masses) of the body — Earth is 1, Mars is 0.107, Jupiter is 317.8.
  2. Enter the Radius (Earth radii) of the surface or object — Earth is 1, the Moon is 0.27.
  3. Set the Orbital Distance (Earth radii) from the center for computing circular orbital velocity at that altitude.
  4. Read Escape Velocity (km/s): Earth's surface value is 11.2 km/s; this is the speed needed to leave the body entirely.
  5. 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

MassEscape VelocityOrbital Velocity
100111.86 km/s79.1 km/s
350209.27 km/s147.98 km/s
650285.19 km/s201.66 km/s
900335.58 km/s237.29 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

  1. Identify Input Parameters
    Mass = 1, Radius = 1, Orbital Distance = 1 = 3 input(s) provided
  2. Calculate Escape Velocity
    Escape Velocity
    11.19 = 11.19
  3. Calculate Orbital Velocity
    Orbital Velocity
    7.91 = 7.91
  4. Calculate Escape from Orbit
    Escape from Orbit
    11.19 = 11.19
  5. Calculate Surface Gravity
    Surface Gravity
    9.82 = 9.82

Engine last updated . Checked against 4 independently-derived tests how we verify calculators.

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