A mapping for the study of the 1/1 resonance in a galactic type Hamiltonian

Details A mapping for the study of the 1/1 resonance in a galactic type Hamiltonian A mapping for the study of the 1/1 resonance in a galactic type Hamiltonian

Mar 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989cemda..47...87c&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, Volume 47, Issue 1, pp.87-96

Astronomy and Astrophysics

Astronomy

4

Mapping, Chaotic Motion, Elliptical Galaxies

Scientific paper

We derive an algebraic mapping for an autonomous, two-dimensional galactic type Hamiltonian in the 1/1 resonance case. We use the mapping to study the stability of the periodic orbits. Using the x — p x Poincaré surface section, we compare the results of the mapping with those found by the numerical integration of the full equations of motion. For small values of the perturbation the results of the two methods are in very good agreement while satisfactory agreement is obtained for larger perturbations.

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