quantity

orbital frequency

The rate at which an object completes an orbit around another body.
6 related articles

Description

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.

History

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.

How it works

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.

In practice

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.

Fun fact

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.

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Related articles · 6

Stellar2026-08-032 minarXiv:2608.02847express
Betelgeuse Breathes in Time with an Invisible Companion
Betelgeuse, the red supergiant familiar from Orion's shoulder, keeps surprising us. After the mysterious Great Dimming of 2019–2020, when the star suddenly dimmed, it didn't just recover; it changed its ways.
General Relativity2026-07-212 minarXiv:2607.18627express
Black Hole with a Soft Core Changes the Music of Gravitational Waves
The spiral of water draining into a sink spins faster and faster toward the center. In an ordinary black hole, that funnel ends in an infinitely sharp point — a singularity where the laws of physics break down. But this new work considers a different picture: the funnel doesn't taper to a needle but ends in a smooth, swelling bubble.
General Relativity2026-05-142 minarXiv:2605.14728express
The Unheard Hum of Neutron Stars
A spinning top whirls at great speed and, instead of a steady hum, emits a quiet buzz — because it is slightly dented. Neutron stars work much the same way: city-sized spheres compressed to such density that a teaspoon of their material weighs as much as a mountain.
Atomic Physics2026-04-302 minarXiv:2604.27963express
Seven Hours, One Fiber-Optic Rope
In the basements of four European institutes stood seven devices: each can be compared to a tuning fork of unimaginable precision. But instead of sound, they emit 'ticks' made of light: oscillations of a laser locked to a specific frequency by atoms of strontium, ytterbium, or mercury.
High Energy2026-03-251 minarXiv:2603.24001express
A radio pulsar that is almost always silent
Radio pulsar J1574+4703 behaves like a finicky lighthouse. Instead of shining steadily, it turns its radio beam on in short flashes and then falls silent for long stretches. Objects like this are called 'rotating radio transients', or RRATs for short.
Atomic Physics2026-01-292 minarXiv:2601.21949express
Broken Bond Makes a Molecule Dance
A chemical bond is like a stretched spring between atoms. When it's snapped, the molecular fragments fly apart, but they don't freeze: they keep vibrating, like a plucked string. That's exactly the vibration a team of researchers caught when they broke a methyl iodide molecule with an ultraviolet laser.