Periodic and chaotic trajectories of the second species for the \(n\)-centre problem

DOI10.1023/A:1008393706818zbMath0979.70009OpenAlexW1617040226MaRDI QIDQ1841533

Sergey V. Bolotin, Robert S. MacKay

Publication date: 18 February 2001

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

Full work available at URL: https://doi.org/10.1023/a:1008393706818

zbMATH Keywords

circular restricted three-body problemmagnetic fieldregularisationsmooth potentialsecond species orbitsexistence of periodic trajectories\(n\)-centre problemexistence of chaotic trajectories

Mathematics Subject Classification ID

Three-body problems (70F07) Motion of charged particles (78A35)

Related Items (14)

Anti-integrability in scattering billiards ⋮ The Set of Planar Orbits of Second Species in the RTBP ⋮ Topology, singularities and integrability in Hamiltonian systems with two degrees of freedom ⋮ Asymptotic density of collision orbits in the restricted circular planar 3 body problem ⋮ Computer assisted proofs for transverse collision and near collision orbits in the restricted three body problem ⋮ Chaotic dynamics in refraction galactic billiards ⋮ Degenerate billiards in celestial mechanics ⋮ A numerical study of the orbits of second species of the planar circular RTBP ⋮ Chaotic quasi-collision trajectories in the 3-centre problem ⋮ Shilnikov lemma for a nondegenerate critical manifold of a Hamiltonian system ⋮ Degenerate billiards ⋮ Nonplanar second species periodic and chaotic trajectories for the circular restricted three-body problem ⋮ Generic occurrence of rings in rotating systems ⋮ Second species periodic orbits of the elliptic 3 body problem

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