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http://hdl.handle.net/2099.2/2955
2015-03-04T22:46:17ZA new approach to the planetary N-Body Problem
http://hdl.handle.net/2099.2/2957
Title: A new approach to the planetary N-Body Problem
Authors: Chierchia, Luigi
Description: 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).2012-04-04T09:54:51ZA new approach to the planetary N-Body Problem
http://hdl.handle.net/2099.2/2956
Title: A new approach to the planetary N-Body Problem
Authors: Chierchia, Luigi
Description: 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).2012-04-04T09:47:11Z