http://hdl.handle.net/2099.2/2955 2013-05-22T00:08:11Z 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). 2012-04-04T09:54:51Z 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