Chaotic scattering in the restricted three-body problem. I: The Copenhagen problem

DOI10.1007/BF00054965zbMath0891.70006OpenAlexW2058513827MaRDI QIDQ1369849

D. Trautmann, Luis Benet, Thomas H. Seligman

Publication date: 20 October 1997

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

Full work available at URL: https://doi.org/10.1007/bf00054965

zbMATH Keywords

Jacobi integralchaotic saddleSmale horseshoecircular orbitparabolic orbitsprimitive periodic orbitsstructure of scattering functions

Mathematics Subject Classification ID

Three-body problems (70F07) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (14)

Escapes in Hamiltonian systems with multiple exit channels. II ⋮ Classifying orbits in the restricted three-body problem ⋮ Fugitive stars in active galaxies ⋮ Fractal basin boundaries and escape dynamics in a multiwell potential ⋮ Investigating the planar circular restricted three-body problem with strong gravitational field ⋮ Elucidating the escape dynamics of the four Hill potential ⋮ Numerical investigation on the Hill's type lunar problem with homogeneous potential ⋮ Escape dynamics and fractal basin boundaries in the planar Earth-Moon system. ⋮ An overview of the escape dynamics in the Hénon-Heiles Hamiltonian system ⋮ Transient chaos in the Sitnikov problem ⋮ Orbit classification in the Hill problem. I: The classical case ⋮ Escape dynamics and fractal basin boundaries in Seyfert galaxies ⋮ Chaotic scattering in the restricted three-body problem. II: Small mass parameters ⋮ Escapes in Hamiltonian systems with multiple exit channels. I

Cites Work

• Unnamed Item
• Unnamed Item
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Fractal properties of escape from a two-dimensional potential
• Periodic orbits and chaos around two black holes
• Can the integrability of Hamiltonian systems be decided by the knowledge of scattering data?
• Cantor set structures in the singularities of classical potential scattering
• Chaotic scattering off the magnetic dipole
• Hamiltonian scattering chaos in a hydrodynamical system
• Parabolic manifolds in the scattering map and direct quantum processes
• Scaling properties of a scattering system with an incomplete horseshoe
• Chaotic advection in the velocity field of leapfrogging vortex pairs
• Hierarchical structure in the chaotic scattering off a magnetic dipole
• BURRAU'S PROBLEM OF THREE BODIES

This page was built for publication: Chaotic scattering in the restricted three-body problem. I: The Copenhagen problem