### orbital resonance

(tendency of orbits of multiple bodies to remain in a simple pattern)

An **orbital resonance** is a stable configuration of the orbits of two
bodies orbiting the same third, such that they follow a pattern,
e.g., their orbital periods being related by two small integers.
Kinematically, such an orbital relationship is termed **commensurability**,
which can develop when the forces of gravity while the two are
relatively close to each other tend to draw them toward it, and can
remain stable when gravity provides negative feedback to any move
away from it.
Such a resonance, with a simple integer ratio between the periods
is called a **mean motion resonance** (**MMR**).
The orbital periods of three of Jupiter's moons form such
ratios and the orbital periods of Pluto and Neptune have
a ratio of 3:2.

A mean motion resonance tends to increase the eccentricity
of the orbits, and in some cases can eventually similarly increase
their orbital inclination (between their orbital planes),
in which case it is termed an **inclination-type resonance** (or
**inclination resonance**). Resonances only affecting eccentricity
are termed **eccentricity-type resonances** (or
**eccentricity resonances**).

A **secular resonance** is a resonance of orbits not on each
circuit, but on a longer-term (secular) pattern.
It might show up as a pattern in the orbits' precessions.
The term is common in analysis of the orbits of asteroids
and other minor planets.

(*celestial mechanics,dynamics,orbits,resonance*)
**Further reading:**

http://en.wikipedia.org/wiki/Orbital_resonance

http://en.wikipedia.org/wiki/Secular_resonance

https://www.lpl.arizona.edu/~renu/malhotra_preprints/unesco_malhotra_rev2.pdf

**Referenced by pages:**

corotation resonance (CR)

Kirkwood gap

Kuiper Belt (K Belt)

late heavy bombardment (LHB)

Lindblad torque

Neptune

Pluto

plutoid

Q factor

tidal heating

tidal locking

trans-Neptunian object (TNO)

Index