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Kepler's Third Law Calculator

Physics
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Calculates the orbital period or semi-major axis of an orbiting body using Kepler's Third Law.

How To Use

How to use this calculator

Start with your values, or try a preset.

Step 1

Enter Semi-major Axis (a), What do you want to calculate?, and Orbital Period (T) in the units shown.

Step 2

Read Semi-major Axis (a) and Orbital Period (T) in the results panel. Results update as you change the inputs.

Step 3

Choose a preset to load an example, then adjust the values for your situation.

Worked Examples

Example calculations

See the inputs and their calculated results.

Earth (Calculating Orbital Period)

Semi-major Axis (a): 1 AU; What do you want to calculate?: Orbital Period (T); Orbital Period (T): 1 years

Semi-major Axis (a): 0 AU; Orbital Period (T): 1 years

Mars (Calculating Orbital Period)

Semi-major Axis (a): 1.524 AU; What do you want to calculate?: Orbital Period (T); Orbital Period (T): 1 years

Semi-major Axis (a): 0 AU; Orbital Period (T): 1.881384018 years

Jupiter (Calculating Orbital Period)

Semi-major Axis (a): 5.204 AU; What do you want to calculate?: Orbital Period (T); Orbital Period (T): 1 years

Semi-major Axis (a): 0 AU; Orbital Period (T): 11.87150916 years

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