We study homoclinic transport to Lyapunov orbits around a collinear libration
point in the planar restricted three body problem. A method to compute
homoclinic orbits is first described. Then we introduce the scattering map for
this problem (defined on a suitable normally hyperbolic invariant manifold) and
we show how to compute it using the information already obtained for the
homoclinic orbits. An example application to Astrodynamics is also proposed.