ONE FORMULA, ONE ANSWER
Circular Orbit Period Calculator
Calculate the period of an ideal circular orbit. Choose input units and calculate one value within the stated conditions.
Inputs
Calculations run in this browser. Scientific notation such as 1.2e-3 is supported. Do not group thousands.
Result
Circular orbital period T
Enter values and select Calculate.
T = 2π √(r³/(GM))
Assumptions
Required: M,r>0, a satellite much lighter than the central body, and an exterior circular Newtonian orbit. Excluded: drag, perturbations and relativistic corrections. Orbital speeds at or above light speed are rejected.
Displayed values are floating-point approximations. Design safety factors and unprovided error contributions are not calculated.
Formula references and credits
NaNa Lab created the code, descriptions, icons and preview images. Text, figures and code from the linked references have not been reproduced.
Physical constants: NIST / CODATA 2022. The values of μ₀ and ε₀ are measured recommendations, not exact defining constants. Values and precision notes are in the source record.
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