Kepler orbital semimajor axis calculator

Calculate semimajor axis with your own figures.

Your numbers

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

Use semimajor axis to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Orbital period (Earth years)
2
Total system mass (solar masses)
1
Semimajor axis (AU)
1.587401

Try another scenario

Orbital period (Earth years)
2.2
Total system mass (solar masses)
1
Semimajor axis (AU)
1.691538
Calculation method

Calculation method

Semimajor axis (AU)

Solar-unit two-body Kepler approximation a=(M P²)^(1/3).

Symbols and units
a
Orbital period (Earth years)
b
Total system mass (solar masses)

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

Assumptions & limits

Assumptions & limits

  • Two-body Newtonian solar-unit model, using AU-year-solar-mass normalization. Supported limits: All required fields must be finite values of the exact declared type and within displayed bounds. Lists contain1–1000 finite numbers. JSON tables are numeric rectangular rows, at most100 rows and30 columns; individual tools have stricter shape/domain constraints. Two-body Newtonian solar-unit model, using AU-year-solar-mass normalization.
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.

Share this page
Share this calculator

Leave unchecked to share the page without your entered values.