Mar Giralt (Observatoire de Paris)
Abstract: In the Restricted Planar Circular 3-Body Problem, which models the dynamics of a massless body influenced by two massive bodies in circular orbits, the Lagrange point L3 is a saddle-center critical point. We explore the family of periodic orbits (close enough) to L3 and prove that these orbits intersect transversally, leading to chaotic dynamics. Furthermore, we identify a generic unfolding of a quadratic homoclinic tangency, which gives rise to Newhouse domains. The talk is based on a joint work with Inma Baldomá and Marcel Guardia.