The rate at which an object completes an orbit around another body.Orbital frequency is the rate at which an object completes one full orbit around another body, typically measured in revolutions per second or hertz. It is a fundamental parameter in celestial mechanics, describing the motion of planets, moons, satellites, and binary star systems. The frequency is inversely related to the orbital period and is determined by the gravitational interaction between the two bodies.
The relationship between orbital period and distance was first formulated by Johannes Kepler in the early 17th century, based on Tycho Brahe's observations. Newton later derived it from his law of universal gravitation.
For a two-body system, the orbital frequency is given by Kepler's third law, which relates the square of the orbital period to the cube of the semi-major axis. In general relativity, the orbital frequency also affects the emission of gravitational waves, causing the orbit to shrink and the frequency to increase over time, a process known as inspiral.
Orbital frequency is used to predict satellite positions, plan space missions, and analyze the dynamics of binary systems, including the detection of gravitational waves from merging black holes and neutron stars.
The orbital frequency of a satellite in low Earth orbit is about 1.7 times per hour, meaning it circles the planet roughly every 90 minutes.


