Browsing Artículos de revista DIMI - MIIS Aldizkari artikuluak by UPNA Author "Palacián Subiela, Jesús Francisco"
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Dynamics of axially symmetric perturbed Hamiltonians in 1:1:1 resonance
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 ... -
Hill problem analytical theory to the order four: application to the computation of frozen orbits around planetary satellites
Frozen orbits of the Hill problem are determined in the double-averaged problem, where short and long-period terms are removed by means of Lie transforms. Due to the perturbation method we use, the initial conditions ... -
Oscillatory motions in restricted N-body problems
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
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 ...