Approximate integrals of motion
(2013) In Astronomy and Astrophysics 549.- 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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/78ff88e6-7478-43ad-9f31-b5f3af80b1c6
- author
- Bienaymé, O. and Traven, G. LU
- publishing date
- 2013-01-01
- type
- Contribution to journal
- publication status
- published
- keywords
- Galaxies: kinematics and dynamics, Gravitation, Methods: numerical
- in
- Astronomy and Astrophysics
- volume
- 549
- article number
- A89
- publisher
- EDP Sciences
- external identifiers
-
- scopus:84896791528
- ISSN
- 0004-6361
- DOI
- 10.1051/0004-6361/201220008
- language
- English
- LU publication?
- no
- id
- 78ff88e6-7478-43ad-9f31-b5f3af80b1c6
- date added to LUP
- 2019-05-30 00:12:11
- date last changed
- 2022-04-02 18:14:27
@article{78ff88e6-7478-43ad-9f31-b5f3af80b1c6,
abstract = {{<p>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.</p>}},
author = {{Bienaymé, O. and Traven, G.}},
issn = {{0004-6361}},
keywords = {{Galaxies: kinematics and dynamics; Gravitation; Methods: numerical}},
language = {{eng}},
month = {{01}},
publisher = {{EDP Sciences}},
series = {{Astronomy and Astrophysics}},
title = {{Approximate integrals of motion}},
url = {{http://dx.doi.org/10.1051/0004-6361/201220008}},
doi = {{10.1051/0004-6361/201220008}},
volume = {{549}},
year = {{2013}},
}