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Orbital mechanics · v = √(GM / r)

Circular Orbital Velocity

The speed of a body on a circular orbit at a given distance from a central mass. The Earth circles the Sun at about 29.8 km/s.

Orbital velocity29.789km/s

Formula: v = √(GM / r)

Worked example

With the default inputs, circular orbital velocity evaluates to 29.789 km/s — Earth's orbit → 29.78 km/s. The validator recomputes this against the known value on every build, so the formula is checked, not asserted.

Highlights

  • Earth's orbit: 29.78 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.