Uncover the mysteries of celestial mechanics with our Orbital Period Calculator. Instantly compute the time a planet or satellite takes to complete one orbit around a central body, based on its semi-major axis and the central body's mass. Ideal for students, astronomers, and space enthusiasts.
Formula:
The orbital period (T) is calculated using a simplified form of Kepler's Third Law, derived from Newton's law of universal gravitation:
T = 2π × √(a3 / (GM))
Where:
- T = Orbital Period (in seconds)
- a = Semi-major axis of the orbit (in meters)
- G = Gravitational Constant (approx. 6.674 × 10-11 N·m²/kg²)
- M = Mass of the central body (in kilograms)