Symmetric and asymmetric \(3:1\) resonant periodic orbits with an application to the 55Cnc extra-solar system

DOI10.1007/s10569-006-9005-1zbMath1219.70036OpenAlexW2165837107MaRDI QIDQ850676

George Voyatzis, John D. Hadjidemetriou

Publication date: 6 November 2006

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

Full work available at URL: https://doi.org/10.1007/s10569-006-9005-1

zbMATH Keywords

Periodic orbitsResonancesExtra-solar planetary systems

Mathematics Subject Classification ID

Equilibria and periodic trajectories for nonlinear problems in mechanics (70K42) Celestial mechanics (70F15) General questions in astronomy and astrophysics (85A04)

Related Items (7)

Symmetric and asymmetric librations in extrasolar planetary systems: a global view ⋮ The 1/1 resonance in extrasolar planetary systems ⋮ Resonances of low orders in the planetary system of HD37124 ⋮ Stationary orbits in resonant extrasolar planetary systems ⋮ On the dynamics of extrasolar planetary systems under dissipation: Migration of planets ⋮ Periodic orbits as centers of stability in the secular 3D planetary three body problem ⋮ On periodic orbits and resonance in extrasolar planetary systems

Cites Work

• Dynamics of 2/1 resonant extrasolar systems application to HD82943 and GLIESE876
• Symmetric and asymmetric librations in planetary and satellite systems at the 2/1 resonance
• Resonant periodic motion and the stability of extrasolar planetary systems
• Evolution of migrating planet pairs in resonance
• Stationary orbits in resonant extrasolar planetary systems
• On the relation between resonance and instability in planetary systems
• The continuation of periodic orbits from the restricted to the general three-body problem

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