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Session S03 - Geometric and Variational Methods in Celestial Mechanics

Wednesday, July 21, 16:00 ~ 16:25 UTC-3

Parabolic orbits in Celestial Mechanics: a functional-analytic approach

Alberto Boscaggin

University of Turin, Italy   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

We show a new functional analytic formulation for half-entire parabolic solutions of a class of systems of ODEs driven by singular potentials. A key point for this is represented by the choice of a suitable functional space supporting an Hardy-type inequality. Applications to various equations of Celestial Mechanics are presented, yielding, in a perturbative setting, the existence of parabolic solutions asymptotic to a (possibly non-minimal) prescribed central configuration.

Joint work with Walter Dambrosio (University of Turin), Guglielmo Feltrin (University of Udine) and Susanna Terracini (University of Turin).

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