On periodic orbits and resonance in extrasolar planetary systems

DOI10.1007/s10569-008-9119-8zbMath1154.70318OpenAlexW1980535466MaRDI QIDQ1003169

John D. Hadjidemetriou

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/s10569-008-9119-8

zbMATH Keywords

ResonancePeriodic orbitsExtrasolar planetary systemsRoutes to chaosStability of planetary systems

Mathematics Subject Classification ID

Celestial mechanics (70F15)

Related Items (8)

The 1/1 resonance in extrasolar planetary systems ⋮ Dynamic expansion points: an extension to Hadjidemetriou's mapping method ⋮ Resonances of low orders in the planetary system of HD37124 ⋮ Dynamical aspects of multi-round horseshoe-shaped homoclinic orbits in the RTBP ⋮ Some ring-shaped potentials as a generalized 4-D isotropic oscillator. Periodic orbits ⋮ Low-thrust propulsion in a coplanar circular restricted four body problem ⋮ On the dynamics of extrasolar planetary systems under dissipation: Migration of planets ⋮ Dynamics of planets in retrograde mean motion resonance

Cites Work

• Dynamics of 2/1 resonant extrasolar systems application to HD82943 and GLIESE876
• 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
• Resonant periodic motion and the stability of extrasolar planetary systems
• Evolution of migrating planet pairs in resonance
• A resonant-term-based model including a nascent disk, precession, and oblateness: application to GJ 876
• Stationary orbits in resonant extrasolar planetary systems
• The continuation of periodic orbits from the restricted to the general three-body problem

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