|
Эта публикация цитируется в 11 научных статьях (всего в 11 статьях)
On Action-angle Coordinates and the Poincaré Coordinates
Jacques Féjozab a Université Paris-Dauphine – CEREMADE (UMR 7534), Place du Maréchal de Lattre de Tassigny, 75775 Paris Cedex 16, France
b Observatoire de Paris – IMCCE (UMR 8028), 77 avenue Denfert-Rochereau, 75014 Paris, France
Аннотация:
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.
Ключевые слова:
Hamiltonian system, Lagrangian fibration, action-angle coordinates, Liouville–Arnold theorem, adiabatic invariants, Kepler problem, two-body problem, Poincaré coordinates, planetary problem, first integral, integrability, perturbation theory.
Поступила в редакцию: 30.10.2013 Принята в печать: 11.11.2013
Образец цитирования:
Jacques Féjoz, “On Action-angle Coordinates and the Poincaré Coordinates”, Regul. Chaotic Dyn., 18:6 (2013), 703–718
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/rcd165 https://www.mathnet.ru/rus/rcd/v18/i6/p703
|
Статистика просмотров: |
Страница аннотации: | 159 | Список литературы: | 55 |
|