“Resonances and quasi-collisions in the Three-Body Problem”
Thursday 20 March 2025 h. 14:30 - Room 2BC30 - Xiang Liu (Padova, Dip. Mat.)
Abstract
Mean motion resonance, a phenomenon occurring when two celestial bodies have orbital periods in a commensurable ratio, plays a pivotal role in both stabilizing and destabilizing motions within our Solar System. For highly eccentric orbits, quasi-collisions become a significant factor. When such eccentric orbits are trapped in resonance, perturbations can induce chaotic motions, leading to rapid changes in orbital elements and transitions of different dynamical states.
This presentation will begin by introducing the concept of mean motion resonance within the framework of the restricted three-body problem. Subsequently, we will explore the application of Hamiltonian perturbation theory for low-eccentricity orbits. Finally, we will demonstrate the limitations of this theory when applied to highly eccentric orbits.
The video of the seminar will appear shortly afterwards in this Mediaspace channel.
