| Issue |
A&A
Volume 549, January 2013
|
|
|---|---|---|
| Article Number | A89 | |
| Number of page(s) | 11 | |
| Section | Galactic structure, stellar clusters and populations | |
| DOI | https://doi.org/10.1051/0004-6361/201220008 | |
| Published online | 03 January 2013 | |
Approximate integrals of motion
1
Observatoire Astronomique de Strasbourg, UMR 7550 CNRS/Université de
Strasbourg,
Strasbourg,
France
e-mail: olivier.bienayme@unistra.fr
2
University of Ljubljana, Faculty of Mathematics and Physics,
Slovenia
Received: 13 July 2012
Accepted: 14 November 2012
We determine approximate numerical integrals of motion of 2D symmetric Hamiltonian systems. We detail for a few gravitational potentials the conditions under which quasi-integrals are obtained as polynomial series. We show that each of these potentials has a wide range of regular orbits that are accurately modelled with a unique approximate integral of motion.
Key words: gravitation / methods: numerical / galaxies: kinematics and dynamics
© ESO, 2013
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