Dia: Dimecres 13 de maig de 2026
Lloc: Aula S04, Facultat de Matemàtiques i Estadística, UPC. Pau Gargallo,14 BCN.
A càrrec de: Pau Martín, UPC
Títol: Universality in celestial mechanics
Resum: In this work we prove that, given any analytic area preserving map of the plane, there is a problem of celestial mechanics that approximates the map with an error arbitrarily small. More concretely, we prove that, given any compact subset K of the analytic area preserving maps of the plane and any ε>0, there exists a restricted planar N-body problem such its Poincaré map associated to a suitable section approximates any map in K with an error smaller than ε. The restricted planar N-body problem is associated to a suitable central configuration of N bodies, where the masses of the bodies play the role of parameters.
Last updated: Fri May 8 12:10:34 2026