Dynamics of a Single Secular Resonance in Planetary Systems
Abstract
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.
Fields of Study & Subjects
Stellar
planetary
and galactic studies
Astro and Planetary Science
Spacecraft Dynamics and Control
Publication details
- Journal / source
- Vestnik St Petersburg University Mathematics
- Volume
- 59
- Issue
- 1
- Pages
- 101–114
- Publication date
- 1 March 2026
- Language
- EN