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SUMMARY:Shane Kepley (Rutgers University\, USA)
DTSTART:20200922T140000Z
DTEND:20200922T150000Z
DTSTAMP:20260423T024729Z
UID:CRM-CAMP/18
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CRM-CAMP/18/
 ">Computing and validating collisions\, ejections\, and homoclinics for th
 e three body problem</a>\nby Shane Kepley (Rutgers University\, USA) as pa
 rt of CRM CAMP (Computer-Assisted Mathematical Proofs) in Nonlinear Analys
 is\n\n\nAbstract\nUnderstanding connecting and collision/ejection orbits i
 s central to the study of transport in Celestial Mechanics. The atlas algo
 rithm combines the parameterization method with rigorous numerical techniq
 ues for solving initial value problems in order to find and validate conne
 cting orbits. However\, difficulties arise when parameterizing orbits pass
 ing near a singularity such as “near miss” homoclinics or ejection/col
 lision orbits. In this talk we present a method of overcoming this obstacl
 e based on rigorous Levi-Civita regularization which desingularizes the ve
 ctor field near the primaries. This regularization is performed dynamicall
 y allowing invariant manifolds to be parameterized globally\, even near si
 ngularities.\n
LOCATION:https://researchseminars.org/talk/CRM-CAMP/18/
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