Long-term cycling of Kozai-Lidov Cycles: Extreme eccentricities and inclinations excited by a distant eccentric perturber

Boaz Katz, Subo Dong, Renu Malhotra

Research output: Contribution to journalArticle

104 Citations (Scopus)

Abstract

The very long-term evolution of the hierarchical restricted three-body problem is calculated analytically for high inclinations. The Kozai-Lidov Cycles (KLCs) slowly evolve due to the octupole term in the perturber's potential and exhibit striking features, including extremely high eccentricities and the generation of retrograde orbits with respect to the perturber. These features were found in recent numerical experiments of the nonrestricted three-body problem and were attributed inaccurately to the comparable and low masses of the two orbiting companions. Our calculation is done by averaging for the first time the double averaged secular equations of motion over the KLCs and finding a new constant of the motion. These very long-term effects are likely to be important in various astrophysical systems thought to involve KLCs, such as hot Jupiters, irregular moons of planets, and many others.

Original languageEnglish (US)
Article number181101
JournalPhysical Review Letters
Volume107
Issue number18
DOIs
StatePublished - Oct 27 2011

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eccentrics
eccentricity
inclination
three body problem
cycles
retrograde orbits
long term effects
natural satellites
Jupiter (planet)
planets
astrophysics
equations of motion

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Long-term cycling of Kozai-Lidov Cycles : Extreme eccentricities and inclinations excited by a distant eccentric perturber. / Katz, Boaz; Dong, Subo; Malhotra, Renu.

In: Physical Review Letters, Vol. 107, No. 18, 181101, 27.10.2011.

Research output: Contribution to journalArticle

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