Orbital period calculator

Calculate orbital period with your own figures.

Your numbers

Use the units shown. Results update as you change valid inputs.

Use orbital period to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Semi-major axis (m)
7000000
Combined mass (kg)
5.972e+24
Orbital period (s)
5,828.59886

Try another scenario

Semi-major axis (m)
7700000.000000001
Combined mass (kg)
5.972e+24
Orbital period (s)
6,724.394663
Calculation method

Calculation method

Orbital period (s)

2 × π × sqrt(a^3 ÷ (6.67430e-11 × b))

Symbols and units
a
Semi-major axis (m)
b
Combined mass (kg)

Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.

Calculation steps and notation

sqrt(x) is the non-negative square root of x.

π is the circle constant, approximately 3.141592653589793.

Assumptions & limits

Assumptions & limits

  • Keplerian two-body model using the combined mass of the bodies. Perturbations are excluded.
Are these inputs private?

These calculations run in your browser. A shared link contains the values you choose to share. Only questions submitted to the separate AI finder are sent to OpenAI.

Further reading

Method reference ↗

Background reading; this does not imply endorsement or independent review of SumFizz.

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