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

35th Meeting of the AAS Division on Dynamical Astronomy, April 2004
Session 4 Posters I
, Wednesday, April 21, 2004, 7:00-8:30pm,

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

D. Boccaletti (Dept. of Mathematics, U. Rome, La Sapienza), C. Belmonte (Dept.of Physics, U. Rome, La Sapienza), G. Pucacco (Dept. of Physics, U. Rome, Tor Vergata)

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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