dc.contributor.author | Féjoz, Jacques | |
dc.date.accessioned | 2013-12-13T15:20:12Z | |
dc.date.available | 2013-12-13T15:20:12Z | |
dc.date.issued | 2013 | |
dc.identifier.uri | https://basepub.dauphine.fr/handle/123456789/12289 | |
dc.language.iso | en | en |
dc.subject | perturbation theory | en |
dc.subject | integrability | en |
dc.subject | first integral | en |
dc.subject | planetary problem | en |
dc.subject | Poincaré coordinates | en |
dc.subject | two-body problem | en |
dc.subject | Kepler problem | en |
dc.subject | adiabatic invariants | en |
dc.subject | Liouville-Arnold theorem | en |
dc.subject | action-angle coordinates | en |
dc.subject | Lagrangian fibration | en |
dc.subject | Hamiltonian system | en |
dc.subject.ddc | 516 | en |
dc.title | On Action-angle coordinates and the Poincaré Coordinates | en |
dc.type | Article accepté pour publication ou publié | |
dc.contributor.editoruniversityother | Institut de Mécanique Céleste et de Calcul des Ephémérides (IMCCE) http://www.imcce.fr/ CNRS : UMR8028 – INSU – Observatoire de Paris – Université Pierre et Marie Curie (UPMC) - Paris VI – Université Lille I - Sciences et technologies;France | |
dc.description.abstracten | This article is a review of two related classical topics of Hamiltonian systems and celestial mechanics. The first section deals with the existence and construction of action-angle coordinates, which we describe emphasizing the role of the natural adiabatic invariants ''$\oint_\gamma p\, dq$''. The second section is the construction and properties of the Poincaré coordinates in the Kepler problem, adapting the principles of the former section, in an attempt to use known first integrals more directly than Poincaré did. | en |
dc.relation.isversionofjnlname | Regular and Chaotic Dynamics | |
dc.relation.isversionofjnlvol | 18 | en |
dc.relation.isversionofjnlissue | 6 | en |
dc.relation.isversionofjnldate | 2013 | |
dc.relation.isversionofjnlpages | 708-723 | en |
dc.relation.isversionofdoi | http://dx.doi.org/10.1134/S1560354713060105 | |
dc.relation.isversionofjnlpublisher | Springer | en |
dc.subject.ddclabel | Géométrie | en |