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Kepler's Third Law Orbital Period Calculator

T² ∝ a³ — orbital period from semi-major axis.

Calculates the orbital period of a satellite or planet using Kepler's third law given the semi-major axis and central body mass.

Published Last reviewed 1 min read

Inputs

Results

Enter values and click Calculate to see results.
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How to use this calculator

  1. Fill in the inputs above using the units you already have.
  2. Values update automatically as you type — no submit button needed.
  3. Hover any result row for the underlying formula and intermediate values.

Formula

T = 2π × √(a³ / GM)

In depth

Calculates the orbital period of a satellite or planet using Kepler's third law given the semi-major axis and central body mass.