We review analytical (rigorous) results about the existence of invariant tori for planetary many-body problems
Arnold proved that the KAM theorem applies to the plane planetary three-body problem, yet Hénon gave...
We introduce the $N$-body problem of mathematical celestial mechanics, and discuss its astronomical ...
We discuss some aspects of conservative and dissipative KAM theorems, with particular reference to a...
We review analytical (rigorous) results about the existence of invariant tori for planetary many-bo...
Invited conference at the Workshop on Hamiltonian Dynamical Systems at the CRM (Le Centre de rech...
Abstract. For any N ≥ 2 we prove the existence of quasi-periodic orbits lying on N-dimensional invar...
In 2004 J. Féjoz [Démonstration du ‘théorème d’Arnold’ sur la stabilité du système planétaire (d’ap...
International audienceA new planetary analytical expansion in canonical heliocentric variables is us...
For any $Ngeq 2$ we prove the existence of quasi--periodic orbits lying on $N$--dimensional invarian...
We consider the problem of the applicability of KAM theorem to a realistic problem of three bodies. ...
The planetary N-body problem. Arnold's statement on the existence of maximal tori for the planetar...
We consider the problem of the applicability of KAM theorem to a realistic problem of three bodies....
We consider the problem of the applicability of KAM theorem to a realistic problem of three bodies....
International audienceAt first sight, K.A.M. theory seems to be very useful for obtaining results of...
Arnold proved that the KAM theorem applies to the plane planetary three-body problem, yet Hénon gave...
We introduce the $N$-body problem of mathematical celestial mechanics, and discuss its astronomical ...
We discuss some aspects of conservative and dissipative KAM theorems, with particular reference to a...
We review analytical (rigorous) results about the existence of invariant tori for planetary many-bo...
Invited conference at the Workshop on Hamiltonian Dynamical Systems at the CRM (Le Centre de rech...
Abstract. For any N ≥ 2 we prove the existence of quasi-periodic orbits lying on N-dimensional invar...
In 2004 J. Féjoz [Démonstration du ‘théorème d’Arnold’ sur la stabilité du système planétaire (d’ap...
International audienceA new planetary analytical expansion in canonical heliocentric variables is us...
For any $Ngeq 2$ we prove the existence of quasi--periodic orbits lying on $N$--dimensional invarian...
We consider the problem of the applicability of KAM theorem to a realistic problem of three bodies. ...
The planetary N-body problem. Arnold's statement on the existence of maximal tori for the planetar...
We consider the problem of the applicability of KAM theorem to a realistic problem of three bodies....
We consider the problem of the applicability of KAM theorem to a realistic problem of three bodies....
International audienceAt first sight, K.A.M. theory seems to be very useful for obtaining results of...
Arnold proved that the KAM theorem applies to the plane planetary three-body problem, yet Hénon gave...
We introduce the $N$-body problem of mathematical celestial mechanics, and discuss its astronomical ...
We discuss some aspects of conservative and dissipative KAM theorems, with particular reference to a...