New Frontiers of Celestial Mechanics: Theory and Applications

Giulio Baù is a Associate Professor at the Department of Mathematics of the University of Pisa. His research activity deals with the development of new orbit propagation and determination methods for small celestial bodies (in particular asteroids and space debris), the study of their dynamics, and regularizations techniques in the $N$-body problem.Sara Di Ruzza is a researcher of Mathematical Physics at the Department of Mathematics at the University of Palermo. Her main field of interest is celestial mechanics. She worked on the spin-orbit problem, on some particular cases of the three-body problem both from an analytical and numerical point of view. She applied theory to real scenarios such as asteroid motion and space missions. The latest works are focused on the occurrence of chaos in the planar three-body problem.Rocío Isabel Páez is a senior postdoctoral researcher at the University College Cork in Ireland. She received her Ph.D. in Mathematics from the University of Rome "Tor Vergata" in 2016. Since then, she has held academic positions at the University of Rome "Tor Vergata", the Academy of Athens and the University of Padova. Her research area is in Applied Mathematics, with a focus on the application of advanced methods of perturbation theory and numerical simulations in dynamical astronomy.Tiziano Penati is Associate Professor of Mathematical Physics at the Department of Mathematics, University of Milan. His main field of interest is Hamiltonian perturbation theory, with special attention to normal form techniques. His work focuses on the investigation of time-periodic localized structures and metastability phenomena in Hamiltonian lattices, such as the Fermi-Pasta-Ulam-Tsingou, discrete Klein-Gordon or discrete Nonlinear Schroedinger models.Marco Sansottera is a Researcher of Mathematical Physics at the Department of Mathematics, University of Milan. His research activity is mainly focused on dynamical systems and celestial mechanics. In particular, he studied the stability properties of planetary systems, investigating the dynamics in the neighborhood of some invariant objects, such as maximal dimension KAM tori, equilibrium points and lower dimensional elliptic tori.

• 1 U. Locatelli, C. Caracciolo, M. Sansottera, M. Volpi - Invariant KAM tori: from theory to applications to exoplanetary systems.- 2 J. Daquin, S. Di Ruzza, G. Pinzari, A new analysis of the three-body problem.- 3 R. Calleja, A. Celletti, R. de la Llave, KAM theory for some dissipative systems.- 4. G. Boué, Tidal Effects and Rotation of Extended Bodies.- 5 C. Efthymiopoulos, R.I. Paez, Arnold diffusion and Nekhoroshev theory.- 6 G. F. Gronchi, Orbit determination with the Keplerian Integrals.- 7 A. Celletti, C. Gales, Resonant dynamics of space debris.- 8 M. Guzzo, E. Lega, Theory and applications of Fast Lyapunov Indicators for the computation of transit orbits in the three-body problem.- 9 A. Giorgilli, The unaccomplished perfection of Kepler’s world.