Using as reference test model the Planar Circular Restricted Three Body Prob-
lem, this paper explores its Lagrangian Coherent Structures, as well as its Hy-
perbolic Lagrangian Coherent Structures. The purpose is to identify stable and
unstable manifolds acting as separatrices between orbits with different qualitative
behaviour and, therefore, relevant to the dynamics of the problem. Particular at-
tention is given to the manifolds associated to the collinear libration points and to
the practical stability regions around the triangular equilibrium points
CitacióPérez, Daniel; Gómez Muntané, G.; Masdemont, J.J. Detecting invariant manifolds using hyperbolic Lagrangian coherent structures. "Advances in the astronautical sciences", 2012, vol. 145, p. 867-879.