**35th Meeting of the AAS Division on Dynamical Astronomy, April 2004**

*Session 4 Posters I*

, Wednesday, April 21, 2004, 7:00-8:30pm,
[Previous] |
[Session 4] |
[Next]

## [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.

[Previous] |
[Session 4] |
[Next]

Bulletin of the American Astronomical Society, **36** #2

© 2004. The American Astronomical Soceity.