Periodic orbits as centers of stability in the secular 3D planetary three body problem

DOI10.1007/s10569-007-9111-8zbMath1154.70310OpenAlexW1996553581MaRDI QIDQ1003168

Jacques Henrard, Anne-Sophie Libert

Publication date: 27 February 2009

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

Full work available at URL: https://doi.org/10.1007/s10569-007-9111-8

zbMATH Keywords

StabilityPeriodic orbitsBifurcationsThree body problemHomoclinic orbitsExoplanetary systems

Mathematics Subject Classification ID

Three-body problems (70F07) Equilibria and periodic trajectories for nonlinear problems in mechanics (70K42) Bifurcations and instability for nonlinear problems in mechanics (70K50) Celestial mechanics (70F15) Dynamical systems in classical and celestial mechanics (37N05)

Related Items (1)

Dynamics of planets in retrograde mean motion resonance

Cites Work

• Unnamed Item
• Analytical approach to the secular behaviour of exoplanetary systems
• Symmetric and asymmetric \(3:1\) resonant periodic orbits with an application to the 55Cnc extra-solar system
• Symmetric and asymmetric librations in extrasolar planetary systems: a global view
• Continuation of normal doubly symmetric orbits in conservative reversible systems
• General solution of the Kozai mechanism
• The web of periodic orbits at \(L_4\)
• Stability of the planetary three-body problem. II: KAM theory and existence of quasiperiodic motions
• Dynamics of two planets in the 3/2 mean-motion resonance: application to the planetary system of the pulsar PSR B1257+12
• Stationary orbits in resonant extrasolar planetary systems
• On Brown's conjecture
• [https://portal.mardi4nfdi.de/wiki/Publication:5675367 Proof of a conjecture of E. Str�mgren]

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