Numerical continuation of families of homoclinic connections of periodic orbits in the RTBP

DOI10.1088/0951-7715/22/12/006zbMath1290.70015OpenAlexW1973148663MaRDI QIDQ3652641

Josep Maria Mondelo González, Merce Olle, Esther Barrabés

Publication date: 15 December 2009

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/2499cbde81f26a8a792170c1b216c8dd109a4453

Mathematics Subject Classification ID

Three-body problems (70F07) Celestial mechanics (70F15) Homoclinic and heteroclinic trajectories for nonlinear problems in mechanics (70K44) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Numerical nonlinear stabilities in dynamical systems (65P40) Periodic and almost periodic solutions for problems in Hamiltonian and Lagrangian mechanics (70H12)

Related Items (11)

Poincaré maps and near-collision dynamics for a restricted planar \((n + 1)\)-body problem ⋮ End-to-end trajectory concept for close exploration of Saturn's inner large moons ⋮ Escape dynamics and fractal basin boundaries in the planar Earth-Moon system. ⋮ Semianalytical Computation of Heteroclinic Connections Between Center Manifolds with the Parameterization Method ⋮ Computer assisted proofs for transverse collision and near collision orbits in the restricted three body problem ⋮ Ejection-collision orbits in the RTBP ⋮ Hopf bifurcation for the hydrogen atom in a circularly polarized microwave field ⋮ Design and performance of low-energy orbits for the exploration of Enceladus ⋮ Dynamical aspects of multi-round horseshoe-shaped homoclinic orbits in the RTBP ⋮ Homoclinic dynamics in a restricted four-body problem: transverse connections for the saddle-focus equilibrium solution set ⋮ A database of planar axisymmetric periodic orbits for the solar system

This page was built for publication: Numerical continuation of families of homoclinic connections of periodic orbits in the RTBP