  In this work, we investigate the Earth-Moon system, as modeled by the planar
circular restricted three-body problem, and relate its dynamical properties to
the underlying structure associated with specific invariant manifolds. We
consider a range of Jacobi constant values for which the neck around the
Lagrangian point $L_1$ is always open but the orbits are bounded due to Hill
stability. First, we show that the system displays three different dynamical
scenarios in the neighborhood of the Moon: two mixed ones, with regular and
chaotic orbits, and an almost entirely chaotic one in between. We then analyze
the transitions between these scenarios using the Monodromy matrix theory and
determine that they are given by two specific types of bifurcations. After
that, we illustrate how the phase space configurations, particularly the shapes
of stability regions and stickiness, are intrinsically related to the
hyperbolic invariant manifolds of the Lyapunov orbits around $L_1$ and also to
the ones of some particular unstable periodic orbits. Lastly, we define transit
time in a manner that is useful to depict dynamical trapping and show that the
traced geometrical structures are also connected to the transport properties of
the system.

Chaotic Dynamics;Dynamical Systems