Kepler’s Third Law Calculator – Orbital Period, Axis & Mass Estimation

Kepler’s Third Law Calculator Calculate: Orbital Period from DistanceDistance from Orbital Period Semi-Major Axis (Distance): Astronomical Units (AU)Kilometers (km) Orbital Period: Earth YearsEarth DaysSeconds Central Body Mass: Sun (1 solar mass)Earth (1 Earth mass)Custom Mass Calculate Calculation Result Kepler’s Third Law The square of the orbital period (T) is proportional to the cube of the […]

Kepler’s Third Law Calculator

Kepler’s Third Law

The square of the orbital period (T) is proportional to the cube of the semi-major axis (a):

T² = (4π²a³)/(G(M+m)) ≈ a³ (when M ≫ m)

Where:
T = Orbital period
a = Semi-major axis
G = Gravitational constant
M = Mass of central body
m = Mass of orbiting body (often negligible)

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