Coorbital Periodic Orbits in the Three Body Problem

DOI10.1137/S1111111102411304zbMath1088.70506MaRDI QIDQ4706178

Glen Richard Hall, Josep Maria Cors

Publication date: 19 June 2003

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

zbMATH Keywords

perturbationPoincaré's periodic orbits

Mathematics Subject Classification ID

Three-body problems (70F07) Celestial mechanics (70F15) Collisions in celestial mechanics, regularization (70F16)

Related Items (8)

On the co-orbital motion in the three-body problem: existence of quasi-periodic horseshoe-shaped orbits ⋮ Breakdown of homoclinic orbits to \(L_3\) in the RPC3BP. II: An asymptotic formula ⋮ Symmetric horseshoe periodic orbits in the general planar three-body problem ⋮ On Co-Orbital Quasi-Periodic Motion in the Three-Body Problem ⋮ Dynamics of the Parabolic Restricted Collinear Three-Body Problem ⋮ On the periodic structure of the anisotropic Manev problem ⋮ Families of symmetric exchange orbits in the planar \((1+2n)\)-body problem ⋮ On the collision manifold of coorbital moons

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