Approximate integrals of motion
- Resource Type
- Working Paper
- Authors
- Bienaymé, Olivier; Traven, Gregor
- Source
- Subject
- Astrophysics - Astrophysics of Galaxies
- Language
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.
Comment: 11 pages, 11 figures, accepted for publication in Astronomy and Astrophysics