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SUMMARY:Applications of perturbative techniques to the N-body problem
DTSTART:20190510T141500
DTEND:20190510T151500
DTSTAMP:20260930T201206Z
UID:8edc495cb4a601835dfb7d25aa5f1ef673d2e634f18cf7539d01aa3f
CATEGORIES:Conferences - Seminars
DESCRIPTION:Prof. Gabriella PINZARI (Univ. Padova)\nAbstract:\nIn the 60s 
 V. I. Arnold argued it was possible to apply KAM theory to the N-body prob
 lem\, in the regime where one mass in much larger then the others\, in tur
 n equally sized. His statement\, that goes under the name "Theorem of stab
 ility of planetary motions" has been completely proved only 50 years later
 . A key ingredient of the proof was a well pointed system of canonical coo
 rdinates which\, besides taking into account its nature of close-to-be-int
 egrable system\, also was well fitted to its invariance by rotations. I sh
 all describe some applications of the perturbative theory  to the N-body 
 problem\, trying to highlight the important rôle of the canonical setting
  in the proofs.
LOCATION:MA B1 11 https://plan.epfl.ch/?room=MAB111
STATUS:CONFIRMED
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