Approximate integrals of motion
Astrophysics of Galaxies
2015-06-12 v1
Abstract
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.
Cite
@article{arxiv.1211.6306,
title = {Approximate integrals of motion},
author = {Olivier Bienaymé and Gregor Traven},
journal= {arXiv preprint arXiv:1211.6306},
year = {2015}
}
Comments
11 pages, 11 figures, accepted for publication in Astronomy and Astrophysics