ON THE BIFURCATION AND CONTINUATION OF PERIODIC ORBITS IN THE THREE BODY PROBLEM

DOI10.1142/S0218127411029720zbMath1248.70010arXiv1012.4609MaRDI QIDQ3165830

Thomas Kotoulas, Kyriaki I. Antoniadou, George Voyatzis

Publication date: 19 October 2012

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1012.4609

zbMATH Keywords

periodic orbitsbifurcationsthree body problem

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)

Related Items (4)

Influence of periodic orbits on the formation of giant planetary systems ⋮ On quasi-satellite periodic motion in asteroid and planetary dynamics ⋮ 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 ⋮ Inclined asymmetric librations in exterior resonances

Cites Work

• Unnamed Item
• 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
• Symmetric and nonsymmetric periodic orbits in the exterior mean motion resonances with Neptune
• Asymmetric librations in exterior resonances
• A symplectic mapping model as a tool to understand the dynamics of 2/1 resonant asteroid motion
• Stationary orbits in resonant extrasolar planetary systems
• The continuation of periodic orbits from the restricted to the general three-body problem
• On the continuation of periodic orbits from the restricted to the general three-body problem
• Stability of periodic orbits in the elliptic, restricted three-body problem.

This page was built for publication: ON THE BIFURCATION AND CONTINUATION OF PERIODIC ORBITS IN THE THREE BODY PROBLEM