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Abstract <p>The Hamiltonian is expanded to the fourth order in eccentricities in the secular formulation of the planar restricted three-body problem. The dynamics of a minor planet in a single secular resonance with a massive perturbing planet in a single-star system is considered. Equilibrium points and their corresponding resonance zones in the phase space of the system are identified. The dependence of the phase-space structure (existence and location of equilibrium points) on the apsidal precession rate of the orbit of the massive perturbing planet is investigated.</p>

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Dynamics of a Single Secular Resonance in Planetary Systems

  • 期刊论文

  • 发表日期：

    2026年3月12日

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  • A. A. Berezina

摘要

Abstract

The Hamiltonian is expanded to the fourth order in eccentricities in the secular formulation of the planar restricted three-body problem. The dynamics of a minor planet in a single secular resonance with a massive perturbing planet in a single-star system is considered. Equilibrium points and their corresponding resonance zones in the phase space of the system are identified. The dependence of the phase-space structure (existence and location of equilibrium points) on the apsidal precession rate of the orbit of the massive perturbing planet is investigated.