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Orbital Resonance

Orbital Mechanics and Spaceflight Engineering

Orbital resonance occurs when two orbiting bodies exert a regular, periodic gravitational influence on each other because their orbital periods form a ratio of small whole numbers, such as Pluto and Neptune's 3:2 resonance. Depending on the geometry involved, resonance can stabilize orbits over long timescales, as with many of Jupiter's Trojan asteroids, or destabilize them, as with the Kirkwood gaps that resonance with Jupiter carves into the asteroid belt. The same mechanism produces the synchronized rotation seen in many moons and shapes the structure of Saturn's rings.

Facts
Concept Domain
Orbital Mechanics 1
Formulated Year
1784 1
Laplace published his mathematical account of this class of resonance across a series of papers, 1784 to 1789; 1784 is the first.
Proposed By
Pierre-Simon Laplace 1
Connections

Associated With

Europa, Celestial Objects

Europa is locked in a 2:1 orbital resonance with Io and 4:1 with Ganymede.

Io, Celestial Objects
Pluto, Celestial Objects

Pluto is in a 3:2 orbital resonance with Neptune.

TRAPPIST-1, Celestial Objects

The TRAPPIST-1 planets form a chain of orbital resonances

Sources
1. Wikipedia (space and spaceflight articles)
Wikimedia Foundation
  • Wikipedia, Orbital resonance, Laplace resonance subsection
    The term arose because Pierre-Simon Laplace discovered that such a resonance governed the motions of Jupiter's moons Io, Europa, and Ganymede.
  • Io (moon) article, notes section on the Great Inequality
    It was first described by Laplace in a series of papers published 1784-1789.
View the Source
Orbital resonance (Wikipedia)
  • Wikipedia, Orbital resonance, lead section
    In celestial mechanics, orbital resonance occurs when orbiting bodies exert regular, periodic gravitational influence on each other, usually because their orbital periods are related by a ratio of small integers.
  • In Group: Orbital Elements and Celestial Mechanics, Lead sentence
    In celestial mechanics, orbital resonance occurs when orbiting bodies exert regular, periodic gravitational influence on each other, usually because their orbital periods are related by a ratio of small integers.
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