Oscillatory orbits in the restricted elliptic planar three body problem
From MaRDI portal
Publication:501430
DOI10.3934/dcds.2017009zbMath1404.70029OpenAlexW2760853457MaRDI QIDQ501430
Lara Sabbagh, Pau Martín, Marcel Guardia, Teresa M. Seara
Publication date: 9 January 2017
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcds.2017009
Three-body problems (70F07) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Celestial mechanics (70F15)
Related Items
Breakdown of homoclinic orbits to \(L_3\) in the RPC3BP. I: Complex singularities and the inner equation ⋮ On the singular Weinstein conjecture and the existence of escape orbits for b-Beltrami fields ⋮ Non-integrability of the planar elliptic restricted three-body problem ⋮ Breakdown of homoclinic orbits to \(L_3\) in the RPC3BP. II: An asymptotic formula ⋮ Oscillatory orbits in the restricted planar four body problem ⋮ Global instability in the restricted planar elliptic three body problem ⋮ Oscillatory motions in restricted \(N\)-body problems ⋮ Gevrey estimates for one dimensional parabolic invariant manifolds of non-hyperbolic fixed points ⋮ Differentiable invariant manifolds of nilpotent parabolic points ⋮ Invariant manifolds of parabolic fixed points. I: Existence and dependence on parameters ⋮ Whiskered parabolic tori in the planar \((n+1)\)-body problem ⋮ Diffusing orbits along chains of cylinders ⋮ Oscillatory motions and parabolic manifolds at infinity in the planar circular restricted three body problem
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Destruction of invariant curves in the restricted circular planar three-body problem by using comparison of action
- Symbolic dynamics in the planar three-body problem
- Topological decoupling near planar parabolic orbits
- Some homoclinic phenomena in the three-body problem
- Homoclinic orbits and oscillation for the planar three-body problem
- Melnikov method and transversal homoclinic points in the restricted three-body problem
- Arnold diffusion and oscillatory solutions in the planar three-body problem
- A \(\lambda\)-lemma for partially hyperbolic tori and the obstruction property
- Stable manifolds associated to fixed points with linear part equal to identity.
- Oscillatory solutions in the planar restricted three-body problem
- Covering relations for multidimensional dynamical systems
- Covering relations for multidimensional dynamical systems. II
- Transition map and shadowing lemma for normally hyperbolic invariant manifolds
- A geometric approach to the existence of orbits with unbounded energy in generic periodic perturbations by a potential of generic geodesic flows of \(\mathbb{T}^2\)
- The parameterization method for one-dimensional invariant manifolds of higher-dimensional parabolic fixed points
- Geometric properties of the scattering map of a normally hyperbolic invariant manifold
- A stable manifold theorem for degenerate fixed points with applications to celestial mechanics
- An inclination lemma for normally hyperbolic manifolds with an application to diffusion
- Stable and Random Motions in Dynamical Systems
- A geometric mechanism for diffusion in Hamiltonian systems overcoming the large gap problem: heuristics and rigorous verification on a model
- Symbolic dynamics of almost collision orbits and skew products of symplectic maps
- Heteroclinic Phenomena in the Isosceles Three-Body Problem
- The parameterization method for invariant manifolds I: Manifolds associated to non-resonant subspaces
- Differentiable invariant manifolds for partially hyperbolic tori and a lambda lemma
- Drift orbits for families of twist maps of the annulus
- QUASIRANDOM DYNAMICAL SYSTEMS. I. QUASIRANDOM DIFFEOMORPHISMS
- ON A POINCARÉ-BIRKHOFF PROBLEM
- Introduction to Hamiltonian dynamical systems and the \(N\)-body problem
- The transfer lemma for Graff tori and Arnold diffusion time
- Oscillatory motions for the restricted planar circular three body problem
This page was built for publication: Oscillatory orbits in the restricted elliptic planar three body problem
