Approximate integrals of motion
Observatoire Astronomique de Strasbourg, UMR 7550 CNRS/Université de
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