|
СЕМИНАРЫ |
Динамические системы и уравнения с частными производными
|
|||
|
Quasi periodic co-orbital motions (joint work with Philippe Robutel and Alexandre Pousse) L. Niederman Université Paris-Sud, Département de Mathématiques |
|||
Аннотация: The motions of the satellites Janus and Epimetheus around Saturn are among the most intriguing in the solar system since they exchange their orbits every four years. In [1], we give a rigorous proof of the existence of quasi-periodic orbits (hence stable) which exhibit this exchange property in the three body plane planetary problem thanks to KAM theory. [1] On the Co-orbital Motion in the Three-Body Problem: Existence of Quasi-periodic Horseshoe-Shaped Orbits, L. Niederman, A. Pousse, P. Robutel, Comm. Math. Phys., vol. 377, pp. 551–612 (2020) Язык доклада: английский Website: https://zoom.us/j/99946708867?pwd=ZWdZNnhXVFdzTUlDM2pUL3A0S0lZZz09 |