2019-04-01
research_article
articles
true
2019-04
https://scigraph.springernature.com/explorer/license/
On Families of Periodic Orbits in the Restricted Three-Body Problem
201-232
https://link.springer.com/10.1007%2Fs12346-018-0288-x
2019-04-11T12:52
en
Since Poincaré, periodic orbits have been one of the most important objects in dynamical systems. However, searching them is in general quite difficult. A common way to find them is to construct families of periodic orbits which start at obvious periodic orbits. On the other hand, given two periodic orbits one might ask if they are connected by an orbit cylinder, i.e., by a one-parameter family of periodic orbits. In this article we study this question for a certain class of periodic orbits in the planar circular restricted three-body problem. Our strategy is to compare the Cieliebak–Frauenfelder–van Koert invariants which are obstructions to the existence of an orbit cylinder.
dimensions_id
pub.1107055483
e7dd1c487cb634ca08ade5b35afde11764560e325b7d6eb8133fedbabc4c178e
readcube_id
Seongchan
Kim
1662-3592
Qualitative Theory of Dynamical Systems
1575-5460
18
Universität Augsburg, Universitätsstrasse 14, 86159, Augsburg, Germany
University of Augsburg
Mathematical Sciences
Springer Nature - SN SciGraph project
Pure Mathematics
doi
10.1007/s12346-018-0288-x
1