Jorba i Monte, ÀngelNicolás, Begoña2024-03-082024-03-082020-101007-5704https://hdl.handle.net/2445/208525This paper focuses on the role of $\mathrm{L}_3$ to organise trajectories for a particle going from Earth to Moon and viceversa, and entering or leaving the Earth-Moon system. As a first model, we have considered the planar Bicircular problem to account for the gravitational effect of the Sun on the particle. The first step has been to compute a family of hyperbolic quasi-periodic orbits near $\mathrm{L}_3$. Then, the computation of their stable and unstable manifolds provides connections between Earth and Moon, and also generates trajectories that enter and leave the Earth-Moon system. Finally, by means of numerical simulations based on the JPL ephemeris we show that these connections can guide the journey of lunar ejecta towards the Earth.26 p.application/pdfengcc-by-nc-nd (c) Elsevier B.V., 2020http://creativecommons.org/licenses/by-nc-nd/4.0/Mecànica celesteInvariantsProblema dels n cossosCelestial mechanicsInvariantsMany-body probleminfo:eu-repo/semantics/article7093092024-03-08info:eu-repo/semantics/openAccess