Now showing items 1-4 of 4
Normalization through invariants in n-dimensional Kepler problems
(Pleiades Publishing, 2018) Artículo / Artikulua,
We present a procedure for the normalization of perturbed Keplerian problems in n dimensions based on Moser regularization of the Kepler problem and the invariants associated to the reduction process. The approach allows ...
Oscillatory motions in restricted N-body problems
(Elsevier, 2018) Artículo / Artikulua,
We consider the planar restricted N-body problem where the N−1 primaries are assumed to be in a central configuration whereas the infinitesimal particle escapes to infinity in a parabolic orbit. We prove the existence of ...
Singular reduction of resonant Hamiltonians
(IOP PublishingLondon Mathematical Society, 2018) Artículo / Artikulua,
We investigate the dynamics of resonant Hamiltonians with n degrees of freedom to which we attach a small perturbation. Our study is based on the geometric interpretation of singular reduction theory. The flow of the ...
Dynamics of axially symmetric perturbed Hamiltonians in 1:1:1 resonance
(Springer, 2018) Artículo / Artikulua,
We study the dynamics of a family of perturbed three-degree-of-freedom Hamiltonian systems which are in 1:1:1 resonance. The perturbation consists of axially symmetric cubic and quartic arbitrary polynomials. Our analysis ...