TY - JOUR

T1 - Dynamics of a Single Secular Resonance in Planetary Systems

AU - Berezina, AA

N1 - Times Cited in Web of Science Core Collection: 0 Total Times Cited: 0

PY - 2026/3/1

Y1 - 2026/3/1

N2 - 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.

AB - 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.

KW - restricted three-body problem

KW - secular resonance

KW - planetary system dynamics

KW - exoplanets

KW - EVOLUTION

UR - https://www.mendeley.com/catalogue/7203ae5f-9d56-33f7-8f51-0a276c74d1ff/

U2 - 10.1134/s1063454125700839

DO - 10.1134/s1063454125700839

M3 - Article

VL - 59

SP - 101

EP - 114

JO - Vestnik St. Petersburg University: Mathematics

JF - Vestnik St. Petersburg University: Mathematics

SN - 1063-4541

IS - 1

ER -