Orateur
Gabriella Pinzari
(Università degli Studi di Padova)
Description
A few years ago, I realized that a single average of the inverse distance of two Keplerian bodies admits as a first integral an intriguing combination of the angular momentum and perihelion anomaly of the averaged planet.
Almost at the same time, J. Jauslin and G. Gallavotti discovered a first integral in a version of the Boltzmann problem, a model of statistical mechanics proposed by
Boltzmann to represent quite an opposite property: ergodicity.
G. Felder later gave a geometrical description based on Poncelet property.
In my talk, I shall discuss this and related topics. Part of the talk is based on joint work with L. Zhao.
