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Orbital mechanics · v = √(2GM / r)

Escape Velocity

The minimum speed an object needs to break free of a body's gravity, ignoring drag. Set by the body's mass and radius alone.

Escape velocity11.186km/s

Formula: v = √(2GM / r)

Worked example

With the default inputs, escape velocity evaluates to 11.186 km/s — Earth → 11.19 km/s. The validator recomputes this against the known value on every build, so the formula is checked, not asserted.

Highlights

  • Earth: 11.19 km/s

Knowledge connections

Sources

The primary and reference sources this topic draws on.

  • NASANational Aeronautics and Space Administration

    Mission data, planetary science, space telescopes, and public-domain imagery.

    Most NASA-produced imagery is in the public domain; individual items are checked for usage terms before publication.