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SUMMARY:Laurent Niederman (University Paris-Saclay)
DTSTART:20201209T150000Z
DTEND:20201209T160000Z
DTSTAMP:20260423T022916Z
UID:DSandPDEs/5
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/DSandPDEs/5/
 ">Quasi periodic co-orbital motions  (joint work with Philippe Robutel and
  Alexandre Pousse)</a>\nby Laurent Niederman (University Paris-Saclay) as 
 part of Dynamical systems and PDEs\n\n\nAbstract\nThe motions of the satel
 lites Janus and Epimetheus around Saturn are among the most intriguing in 
 the solar system since they exchange their orbits every four years.\n\nIn 
 [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.\n\n[1] On the Co-orbital Motion i
 n the Three-Body Problem: Existence of Quasi-periodic Horseshoe-Shaped Orb
 its\, L. Niederman\, A. Pousse\, P. Robutel\, Comm. Math. Phys.\, vol. 377
 \, pp. 551–612 (2020)\n
LOCATION:https://researchseminars.org/talk/DSandPDEs/5/
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