Origin and continuation of \(3/2, 5/2, 3/1, 4/1\) and \(5/1\) resonant periodic orbits in the circular and elliptic restricted three-body problem

DOI10.1007/s10569-018-9834-8zbMath1447.70005arXiv1805.00288OpenAlexW2798518141MaRDI QIDQ1785903

Kyriaki I. Antoniadou, Anne-Sophie Libert

Publication date: 2 October 2018

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

Full work available at URL: https://arxiv.org/abs/1805.00288

zbMATH Keywords

periodic orbitsthree-body problemorbital stabilitymean-motion resonancehigh eccentricitycircular family

Mathematics Subject Classification ID

Three-body problems (70F07) Parametric resonances for nonlinear problems in mechanics (70K28)

Related Items (2)

On the Stability of the Triangular Equilibrium Points in the Elliptic Restricted Three-Body Problem with Radiation and Oblateness ⋮ Generalized periodic orbits in some restricted three-body problems

Cites Work

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• The use of invariant manifolds for transfers between unstable periodic orbits of different energies
• Resonant motion in the restricted three-body problem
• Asteroids: 2/1 resonance and high eccentricity
• Inclined asymmetric librations in exterior resonances
• Symmetric and asymmetric librations in planetary and satellite systems at the 2/1 resonance
• Symmetric and asymmetric librations in extrasolar planetary systems: a global view
• The elliptic restricted problem at the 3:1 resonance
• On symmetrical planetary corotations
• Asteroid motion near the 3:1 resonance
• The main mean motion commensurabilities in the planar circular and elliptic problem
• The restricted three-body problem: plane periodic orbits. Transl. from the Russian by Balint Erdi. With a preface by Victor G. Szebehely
• On linking coefficient of two Keplerian orbits
• Symmetric and nonsymmetric periodic orbits in the exterior mean motion resonances with Neptune
• Stationary orbits in resonant extrasolar planetary systems
• ON THE BIFURCATION AND CONTINUATION OF PERIODIC ORBITS IN THE THREE BODY PROBLEM
• Regular motions in extra-solar planetary systems
• Solar System Dynamics
• Stability of periodic orbits in the elliptic, restricted three-body problem.
• The \(2/1\) and \(3/2\) resonant asteroid motion: A symplectic mapping approach

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