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Circular Orbit Period from Radius and Central Mass Calculator

T = 2π√(r³/GM) — Kepler's third law.

Calculates orbital period T = 2π√(r³/GM), orbital velocity v = √(GM/r), and centripetal acceleration for a circular orbit at radius r around a central mass M.

Dr. Helena Ortiz By Dr. Helena Ortiz
Published Last reviewed 1 min read

Inputs

m
kg

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 √(r³/GM)

In depth

Calculates orbital period T = 2π√(r³/GM), orbital velocity v = √(GM/r), and centripetal acceleration for a circular orbit at radius r around a central mass M.