Orbital Period

Calculate the circular orbital period around a central mass using Newtonian gravity.

How this calculator works

Enter the values for first value, second value and review the units before calculating.

Formula / method

T = 2π√(r³ ÷ GM)

Worked example

A circular orbit 6,671 km from Earth’s center takes about 90 minutes.

Assumptions and limitations

The orbit is circular and the central body is treated as a point mass.

Atmospheric drag, oblateness, third bodies and relativistic corrections are omitted.

Sources and methodology references