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Parabolic and collision trajectories: a survey on the variational approach to the N-body and N-centre problem

Connections for Women: Hamiltonian Systems, from topology to applications through analysis August 16, 2018 - August 17, 2018

August 16, 2018 (03:30 PM PDT - 04:30 PM PDT)
Speaker(s): Susanna Terracini (Università di Torino)
Location: MSRI: Simons Auditorium
Tags/Keywords
  • N-body problem

  • collisions

  • parabolic trajectories

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification
Video

Abstract

The problem of the existence and the qualitative properties of parabolic and other selected trajectories (periodic, collision) for the N-body problem (from the classical celestial mechanics point of view to more recent advances in molecular and quantum models) has been extensively studied over the decades, and, more recently, new tools and approaches have given a signi ficant boost to the fi eld. We shall review some old an new results on the existence and classi cation of selected trajectories of the classical N-centre and N-body problem, with an emphasis on new analytical and geometrical techniques.

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Video/Audio Files

4-Terracini

H.264 Video 4-Terracini.mp4 102 MB video/mp4 Download
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