Mechanics

Orbital Period

Kepler's third law for circular orbits.

Variables

T
Orbital period
Time for one orbit
s
r
Orbital radius
Semi-major axis
m
G
Gravitational constant
6.674×10⁻¹¹
N·m²/kg²
M
Central mass
Mass being orbited
kg

Derivation

T = 2πr/v with v = √(GM/r).

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