Kepler's Third Law

📊 intermediate

$$T^2 \propto R^3$$

The square of the time period of a planet is proportional to the cube of the semi-major axis.

Variables & Units

$T$

Time Period

Unit: Seconds

$R$

Mean distance from Sun

Unit: Meter

Key Information

📐 Derived From

Law of Gravitation and Centripetal Force.

💡 Example

Comparing orbital periods of Earth and Mars.

🔧 Applications

Astronomy.

⚠️ Constraints

Applicable for any central force following inverse square law.

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