L. Chierchia will give the tutorial "A new approach to the planetary N-Body Problem"

Tutorial by L. Chierchia A new approach to the planetary N-Body Problem

• 26/03/2012 - 15:00 a 17:00h -- Aula 103 (FME) 1er pis
• 27/03/2012 - 10:00 a 12:00h -- Aula 005 (FME) Pl Baixa.

Syllabus:

• The planetary N-body problem.
• Arnold's statement on the existence of maximal tori for the planetary problem (1963).
• Classical Hamiltonian description (Delaunay, Poincare').
• Degeneracies.
• A brief history of the proof of Arnold's theorem.
• A new approach to the planetary NBP (2011): Deprit's variables and  Pinzari's regularization (the RPS variables).
• Torsion. Full proof of Arnold's theorem (sketch).
• Some consequences (measure estimates, Conley-Zehnder periodic orbits, Birkhoff normal forms).