Kepler's Third Law Calculator

Orbital period from semi-major axis (or vice-versa) for any central mass, with solar-system shortcuts.

Results

Semi-major axis—
Period—
Period—
Semi-major axis—
Mean orbital speed—

How to use the Kepler's Third Law Calculator

  1. Enter or select: Central mass.
  2. Fill in what you know of: Semi-major axis, Orbital period — leave the unknown empty.
  3. The results (Semi-major axis, Period, Mean orbital speed) are calculated instantly as you type.
  4. Use “Copy link” to share the calculation with the same input values.

Formula

  • P² = a³ / M (P in years, a in AU, M in solar masses)
  • T² = 4π²a³ / (G·M)