Kepler's Third Law (Orbital Period)
T = 2·π·sqrt(r^3 / (G·M))
What it says
The time for one complete orbit of radius r around a central mass M, from the balance of gravity and circular motion.
Symbols
| Symbol | Quantity | Dimension |
|---|---|---|
T | Orbital period (s) | T |
r | Orbital radius (m) | L |
M | Central mass (kg) | M |
G | Gravitational constant (6.67430e-11 N·m^2/kg^2) | M^-1 L^3 T^-2 |
Work it out
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Connects to
Filed under Mechanics · derive through it in the explorer