Prof. Alessandra Celletti
Università di Roma Tor Vergata & ANVUR
Tuesday December 10th, 2024 - 4:30pm
Room 1A150 Torre Archimede
Stability in Celestial Mechanics: from perturbation theory to Machine Learning methods
The stability of the dynamics of the objects in the Solar system is a topic of paramount importance in Celestial Mechanics. Given the different time scales of natural and artificial objects, the mathematical methods to investigate the stability vary from perturbation theory, to Nekhoroshev's theorem, to KAM theory. These theories are constructive in the sense that they give explicit estimates on the parameters of the system providing the stability. In particular, perturbation theory gives stability results on finite times, Nekhoroshev's theorem gives effective stability on exponentially long times, KAM theory guarantees stability for infinite times in low-dimensional systems. We will also show that perturbative methods can be combined with Machine Learning techniques, in particular to analyze the dynamics of groups of objects, for example to classify and cluster space debris generated by break-up events of artificial satellites.
Short Bio
Alessandra Celletti is a distinguished mathematician specializing in dynamical systems theory and celestial mechanics. She holds a Ph.D. from ETH Zurich and is currently a full professor at the University of Rome Tor Vergata. In 2023, she was the winner of the Brouwer Award, awarded by the American Astronomical Society.
With over a hundred publications and extensive leadership experience in academic and scientific organizations, Celletti is internationally recognized for her contributions to mathematics and science communication. She is also actively involved in research evaluation, holding leadership positions, and is presently a Member of the Governing Board and Vice-President of ANVUR - the Italian National Agency for the Evaluation of Universities and Research Institutes. She has been the Principal Investigator for several significant national and international grants. The asteroid 2005 DJ1, number 117539, bears the name "Alessandra Celletti" in her honor.
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