Triple collisions in the isosceles three body problem with small mass ratio

DOI10.1007/BF00945869zbMath0685.70012MaRDI QIDQ1262151

Mohamed Sami ElBialy

Publication date: 1989

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

zbMATH Keywords

collision manifoldisosceles three body problemmodified version of McGehee's transformationnear collision orbits

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Collision of rigid or pseudo-rigid bodies (70F35)

Related Items

On final evolutions in the restricted planar parabolic three-body problem, Global Phase Structure of the Restricted Isosceles Three-Body Problem with Positive Energy, Computer assisted proofs for transverse collision and near collision orbits in the restricted three body problem, Dynamics in the Schwarzschild isosceles three body problem, Collective branch regularization of simultaneous binary collisions in the 3D N-body problem, A multivalued approach to the planar isosceles three-body problem, Non-integrability of the anisotropic Stormer problem and the isosceles three-body problem

Cites Work

• Triple collision in the planar isosceles three body problem
• Triple collision in the collinear three-body problem
• Collision orbits in the anisotropic Kepler problem
• Heteroclinic Phenomena in the Isosceles Three-Body Problem
• Blowing Up Singularities in Classical Mechanical Systems
• Unnamed Item