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Minimum Circular Orbital Speed from Planet Mass and Orbit Radius Calculator

v = √(GM / r).

Compute the circular orbital speed required for a satellite at radius r around a body of mass M: v = √(GM/r), with G = 6.674×10⁻¹¹ N·m²/kg². Also reports the orbital period T = 2πr/v and altitude above Earth's surface when Earth's radius (6 371 km) is subtracted.

Published Last reviewed 1 min read

Inputs

kg
m

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

v = √(GM/r); T = 2πr/v.

In depth

Compute the circular orbital speed required for a satellite at radius r around a body of mass M: v = √(GM/r), with G = 6.674×10⁻¹¹ N·m²/kg². Also reports the orbital period T = 2πr/v and altitude above Earth's surface when Earth's radius (6 371 km) is subtracted.