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PHYSICS / GRAVITATION

Escape Velocity Calculator

Calculate ideal escape speed from a spherical body's gravitational field. Inspect the SI equation, substituted inputs, derived result, and physical limitations in one guided workspace.

  • 01 Calculated in this tab
  • 02 Values stay in this browser tab
  • 03 Use boundary

Conversion input

Known value

Filter by unit name, symbol, or code. Your current selections remain available.

Preparing the calculator...

Use boundary

Calculation path

Calculate ideal escape speed from a spherical body's gravitational field. The page evaluates the displayed equation from your supplied values and presents both symbolic and substituted KaTeX working so the arithmetic can be checked.

Calculation path

v_e=sqrt(2GM/r)

What you provide

What you provide

  • Central-body mass expressed in kg, using the same scenario as the other inputs
  • Launch radius from center expressed in m, using the same scenario as the other inputs

What you receive

What you receive

  • Escape speed in m/s from the stated equation
  • A symbolic formula plus substituted working with your values
  • Visible assumptions, field guidance, and an authoritative learning reference

Use boundary

Choose the maximum decimal places shown. This does not increase source accuracy.

The body is isolated and spherical, with no atmosphere, rotation, propulsion profile, or other gravity sources.

Use internally consistent units and retain extra precision when carrying the result into another calculation.

Reviewed reference factors

Reviewed reference factors