Tutorial: A new approach to the planetary N-Body Problem
http://hdl.handle.net/2099.2/2955
2015-07-31T23:50:16ZA new approach to the planetary N-Body Problem
http://hdl.handle.net/2099.2/2957
A new approach to the planetary N-Body Problem
Chierchia, Luigi
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).
2012-03-27T00:00:00ZA new approach to the planetary N-Body Problem
http://hdl.handle.net/2099.2/2956
A new approach to the planetary N-Body Problem
Chierchia, Luigi
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).
2012-03-26T00:00:00Z