http://hdl.handle.net/2099.2/2955 Tue, 21 May 2013 01:03:36 GMT 2013-05-21T01:03:36Z webmaster.bupc@upc.edu Universitat Politècnica de Catalunya. Servei de Biblioteques i Documentació no 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). Wed, 04 Apr 2012 09:54:51 GMT http://hdl.handle.net/2099.2/2957 2012-04-04T09:54:51Z Chierchia, Luigi no 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). Wed, 04 Apr 2012 09:47:11 GMT http://hdl.handle.net/2099.2/2956 2012-04-04T09:47:11Z Chierchia, Luigi no