SEMINAIRE MERCREDI 28 AVRIL 2004
14 heures
Salle Séminaire 5
Centre de Physique Théorique
Marseille-Luminy

Carles Simo
Dept Matematica Aplicada i Analisi, Univ Barcelona

Title: Algebraic proof of the non-integrability of Hill's Problem

Abstract: Hill's lunar problem appears in Celestial Mechanics as a
limit of the Restricted Three-Body Problem. Besides, information on
the former shows light on several other three-body problems. It
contains no parameters and is globally far from any simple well--known
problem. Strong numerical evidences of its lack of integrability have
been given in the past. An algebraic proof of non--integrability is
presented. Beyond the result in itself, this result can also be
considered as an example of the application of differential Galois
theory to a significant problem.
This is a joint work with Juan J. Morales-Ruiz and Sergi Simon