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The eccentric Kozai–Lidov effect as a resonance phenomenon

Vladislav V. Sidorenko (2017)

Published
Dec 28, 2017
Journal
Celestial Mechanics and Dynamical Astronomy · Vol. 130 · No. 1
DOI
10.1007/s10569-017-9799-z

At a GlanceAI

Recasts the eccentric Kozai–Lidov effect as a true resonance, clarifying its dynamical origin and structure.

SummaryAI

The work interprets the eccentric Kozai–Lidov (EKL) effect in hierarchical triples as a resonance phenomenon rather than only a secular modulation. By framing EKL in resonance language, it aims to clarify why large coupled oscillations of eccentricity and inclination arise and how the resonant domain is organized in phase space. This perspective helps connect Kozai–Lidov dynamics to broader resonance theory, which can improve intuition and classification of long-term behaviors in triple systems.

Method SnapshotAI

Analytical secular dynamics using a resonance-based (Hamiltonian) reformulation of the eccentric Kozai–Lidov problem.

BackgroundAI

Celestial mechanics of hierarchical three-body systems, secular perturbation theory, and basic Hamiltonian resonance concepts.

Explanation of why the Lidov–Kozai effect is a real resonance (see also Shevchenko’s book)

ES

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