NUMERICAL INVESTIGATION OF PERIODIC MOTION IN THE THREE-DIMENSIONAL RING PROBLEM OF N BODIES

DOI10.1142/S0218127405013617zbMath1092.70504MaRDI QIDQ5474318

K. G. Hadjifotinou, Telemachus J. Kalvouridis

Publication date: 23 June 2006

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

zbMATH Keywords

bifurcationvertical stabilitycritical instability

Mathematics Subject Classification ID

Equilibria and periodic trajectories for nonlinear problems in mechanics (70K42) Bifurcations and instability for nonlinear problems in mechanics (70K50) Computational methods for problems pertaining to mechanics of particles and systems (70-08) (n)-body problems (70F10)

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Cites Work

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• Bifurcations and equilibria in the extended \(N\)-body ring problem
• On a particular restricted five-body problem. An analysis with computer algebra
• Comparison of numerical methods for the integration of natural satellite systems
• A planar case of the \(n+1\) body problem: The ring problem
• Periodic solutions in the ring problem
• Zero-velocity surfaces in the three-dimensional ring problem of \(N+1\) bodies.

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