Dia: Dimecres 26 de novembre de 2025
Lloc: Aula S04, Facultat de Matemàtiques i Estadística, UPC. Pau Gargallo,14 BCN.
A càrrec de: Anna Gierzkiewicz (Jagiellonian University)
Títol: Detecting oscillating orbits in the Sitnikov 3BP by computer assistance
Resum: In a joint work with M. Capiński and P. Martín, we prove the existence of oscillatory orbits (i.e., orbits that go closer and closer to infinity but always return to a fixed bounded region) for the Sitnikov 3BP in the case of three equal masses (m&sub1; = m).
The proof relies on analyzing the stable and unstable invariant manifolds of infinity and their intersections. We construct orbits shadowing these invariant manifolds by the method of correctly aligned windows. The proof is computer assisted with the use of CAPD library for C++.
Last updated: Tue Nov 25 18:21:58 2025