How does the Kepler Third Law Calculator work?

Enter orbital period and distance, or the central body's mass Then: The calculator applies T² = (4π² / GM) × a³ Then: Results show orbital relationship.

Can you give an example of how to use the Kepler Third Law Calculator?

Example: Input a = 1 AU (Earth orbit), M = 1.989 × 10³⁰ kg (Sun) gives a result of T ≈ 1 year (By definition).

Is the Kepler Third Law Calculator free to use?

Yes — completely free with no registration, download, or subscription required. All calculations happen instantly in your browser.

How accurate is the Kepler Third Law Calculator?

Our Kepler Third Law Calculator uses verified mathematical formulas and is accurate to multiple decimal places. Results are calculated in real-time using the same methods used by professionals.

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Kepler Third Law Calculator

Kepler's Third Law

Semi-major Axis (m)

Central Mass (kg)

Kepler's third law relates orbital period to orbital distance. It explains why planets farther from the Sun take longer to orbit.

Symbol	Name	Unit	Description
GM	GM value	—	Variable used in the calculation

Difficulty:intermediate

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Did You Know?

Kepler derived these laws empirically in 1618 by analyzing observational data; Newton's gravitational theory later proved why they work.

References

›Kepler's Third Law

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Kepler Third Law Calculator

Kepler's Third Law

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Kepler's Third Law