Isolating block and isolating neighborhood methods have previously been
implemented to find transit trajectories and orbits around libration points in
the autonomous circular restricted three-body problem. For some applications,
the direct computation of these types of trajectories in non-autonomous models
more closely approximating real-world ephemerides is beneficial. Here, we apply
isolating neighborhood methods to non-autonomous systems, including the
elliptic restricted three-body problem (ERTBP). Specifically, simplified
isolating neighborhood boundaries are computed around libration points in the
ERTBP. These boundaries are used in combination with a bisection method to
compute the forward asymptotic trajectories of the isolated invariant set and
track orbits around a libration point