Invariant manifolds ofL3and horseshoe motion in the restricted three-body problem

DOI10.1088/0951-7715/19/9/004zbMath1193.70024OpenAlexW2013824070MaRDI QIDQ3412480

Esther Barrabés, Merce Olle

Publication date: 6 December 2006

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/19/9/004

Mathematics Subject Classification ID

Three-body problems (70F07) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Periodic and almost periodic solutions for problems in Hamiltonian and Lagrangian mechanics (70H12)

Related Items (8)

On the co-orbital motion of two planets in quasi-circular orbits ⋮ Breakdown of homoclinic orbits to \(L_3\) in the RPC3BP. II: An asymptotic formula ⋮ Transport and invariant manifolds near \(L_3\) in the Earth-Moon bicircular model ⋮ Dynamical aspects of multi-round horseshoe-shaped homoclinic orbits in the RTBP ⋮ Spacecraft trajectories to the \(L_{3}\) point of the Sun-Earth three-body problem ⋮ On Co-Orbital Quasi-Periodic Motion in the Three-Body Problem ⋮ Melnikov method for non-conservative perturbations of the restricted three-body problem ⋮ Practical Stability Domains Near L 4,5 in the Restricted Three-Body Problem: Some Preliminary Facts

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