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Science Calculators

Orbital Period Calculator

Verified formula Updated Jun 2026 Private — runs on your device

Enter details
m
kg
Verified formula Private

Orbital period

5,828.73

In minutes
97.15

For general information only — not financial, tax, legal or medical advice. Verify before you rely on it.

How to use the Orbital Period Calculator

The Orbital Period Calculator works out your orbital period, along with 1 related figure in an instant. Enter orbit radius and central body mass and the result updates as you type — it is free, needs no sign-up, and runs entirely in your browser so your figures stay private.

  1. Enter the orbit radius.
  2. Enter the central body mass.
  3. Read off your orbital period, together with in minutes — the calculator updates automatically, with no button to press.

Formula

The Orbital Period Calculator uses the formula:

Orbital period = 2 × 3.141592653589793 × √((Orbit radius)^(3) ÷ (6.674e-11 × Central body mass))

Worked example

For example, with orbit radius of 7,000,000 m and central body mass of 5,972,000,000,000,000,327,155,712 kg, the orbital period is 5,828.73.

Inputs used
Orbit radius 7,000,000 m
Central body mass 5,972,000,000,000,000,327,155,712 kg
Results
Orbital period 5,828.73
In minutes 97.15

Results are estimates for educational use, not professional advice.

Key terms explained

Radius
The distance from the centre of a circle or sphere to its edge.

Frequently asked questions

Use T = 2π√(r³ ÷ GM). A 7,000 km orbit around Earth takes roughly 97 minutes.

The gravitational constant, about 6.674×10⁻¹¹ N·m²/kg², built into the formula.

At a few hundred kilometres altitude, the radius and Earth's mass give a period near 90 minutes.

No. For a small satellite around a large body, only the central mass and radius matter.

Enter the orbit radius. Enter the central body mass. Read off your orbital period, together with in minutes — the calculator updates automatically, with no button to press.

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