Dynamics in the charged restricted circular three-body problem
DOI10.1007/s10884-017-9627-xzbMath1435.37090OpenAlexW2770630830MaRDI QIDQ1616375
Patricia Yanguas, Claudio Vidal, Jesús F. Palacián, Jhon Vidarte
Publication date: 6 November 2018
Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)
Full work available at URL: https://hdl.handle.net/2454/31968
perturbationsnormal formsKAM theoryfinite-dimensional Hamiltonian systemsaveragingsmall divisorsnearly integrable Hamiltonian systemsArnol'd diffusion
Bifurcation problems for finite-dimensional Hamiltonian and Lagrangian systems (37J20) Three-body problems (70F07) Quasi-periodic motions and invariant tori for nonlinear problems in mechanics (70K43) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Momentum maps; symplectic reduction (53D20) Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25) Nearly integrable Hamiltonian systems, KAM theory (70H08) Averaging of perturbations for nonlinear problems in mechanics (70K65) Periodic, homoclinic and heteroclinic orbits of finite-dimensional Hamiltonian systems (37J46)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Schubart solutions in the charged collinear three-body problem
- Invariant tori in the lunar problem
- Invariant tori in Hamiltonian systems with high order proper degeneracy
- Local and semi-local bifurcations in Hamiltonian dynamical systems. Results and examples
- The elusive Liapunov periodic solutions
- Stability of the equilibrium solutions in a charged restricted circular three-body problem
- A restricted charged four-body problem
- Linear stability of relative equilibria in the charged three-body problem
- On averaging, reduction, and symmetry in Hamiltonian systems
- Reduction of symplectic manifolds with symmetry
- Geometric interpretation for the spectral stability in the charged three-body problem
- Non-hyperbolic equilibria in the charged collinear three-body problem
- Mathematical aspects of classical and celestial mechanics. Transl. from the Russian by E. Khukhro.
- Qualitative study of a charged restricted three-body problem
- Symmetric periodic orbits for the collinear charged 3-body problem
- Periodic Solutions in Hamiltonian Systems, Averaging, and the Lunar Problem
- Relativistic dynamics for three charged particles
- The elimination of the parallax in satellite theory
- Geometric Averaging of Hamiltonian Systems: Periodic Solutions, Stability, and KAM Tori
- Canonical transformations depending on a small parameter
- Regularization of kepler's problem and the averaging method on a manifold
- Introduction to Hamiltonian dynamical systems and the \(N\)-body problem