Asymmetric librations in exterior resonances

DOI10.1007/BF00693323zbMath0852.70008OpenAlexW2157896290MaRDI QIDQ1805474

Cristian Beaugé

Publication date: 12 December 1996

Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00693323

zbMATH Keywords

stabilityphase spacesingular solutionsplanar circular restricted three-body problemcommensurabilitiesreduced Andoyer Hamiltoniansecond fundamental model for resonancetopological characteristics

Mathematics Subject Classification ID

Three-body problems (70F07) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Celestial mechanics (70F15) Orbital mechanics (70M20)

Related Items (14)

Stable manifolds and homoclinic points near resonances in the restricted three-body problem ⋮ ON THE BIFURCATION AND CONTINUATION OF PERIODIC ORBITS IN THE THREE BODY PROBLEM ⋮ The high-eccentricity libration theory revisited ⋮ Mapping the structure of the planetary 2:1 mean motion resonance: the TOI-216, K2-24, and HD27894 systems ⋮ An analytically treatable model of long-term dynamics in a mean motion resonance with coexisting resonant modes ⋮ On the stability of dust orbits in mean-motion resonances perturbed by from an interstellar wind ⋮ A resonant-term-based model including a nascent disk, precession, and oblateness: application to GJ 876 ⋮ Long-term orbital dynamics of trans-Neptunian objects ⋮ Neptune's resonances in the scattered disk ⋮ Charged dust close to outer mean-motion resonances in the heliosphere ⋮ Symmetric and nonsymmetric periodic orbits in the exterior mean motion resonances with Neptune ⋮ Stationary orbits in resonant extrasolar planetary systems ⋮ Inclined asymmetric librations in exterior resonances ⋮ The resonance overlap and Hill stability criteria revisited

Cites Work

• The main mean motion commensurabilities in the planar circular and elliptic problem
• A second fundamental model for resonance
• High-order resonances in the restricted three-body problem
• Periodic orbits of the planetary type and their stability
• Capture into resonance: An extension of the use of adiabatic invariants

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