Quasi periodic co-orbital motions (joint work with Philippe Robutel and Alexandre Pousse)

Abstract: 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)

mathematical physicsanalysis of PDEsdynamical systems

Audience: researchers in the topic

Dynamical systems and PDEs

Series comments: The Zoom link appears on the homepage of the seminar www.mathnet.ru/php/conference.phtml?&eventID=9&confid=1832&option_lang=eng shortly before the talk. You may also subscribe to the mailing list by writing at DSandPDEs at gmail.com