TITLE:
Transport and invariant manifolds near L_3 in the Earth-Moon
Bicircular model

AUTHORS:
Angel Jorba, Bego\~na Nicolas
Departament de Matematiques i Informatica
Universitat de Barcelona, Gran Via 585, 08007 Barcelona, Spain

E-mails: angel@maia.ub.es, bego@maia.ub.es

ABSTRACT:
This paper focuses on the role of 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 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.