Approximate First Integrals for a Model of Galactic Potential with the Method of Lie Transform Normalization

Details Approximate First Integrals for a Model of Galactic Potential with the Method of Lie Transform Normalization Approximate First Integrals for a Model of Galactic Potential with the Method of Lie Transform Normalization

May 2004

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2004dda....35.0402b&link_type=abstract

American Astronomical Society, DDA meeting #35, #04.02; Bulletin of the American Astronomical Society, Vol. 36, p.853

Astronomy and Astrophysics

Astronomy

Scientific paper

We investigate the phase-space structure of perturbed resonant harmonic oscillator with the method of Lie transform Normalization.
The perturbation is a quartic polynomial which can be used as a model for the central part of an elliptical galaxy.
We determine the relative equilibria and compare the results with numerical integration in order to evaluate the optimal order of truncation of the normal form.

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