Upcoming missions towards remote planetary moons will fly in chaotic dynamic environments that are significantly perturbed by the oblateness of the host planet. In this presentation, we will be overviewing the equations of the Zonal Hill Problem that govern the dynamic evolution of a satellite subject to the gravitational attraction of a moon and its oblate host planet. Despite time-periodic effects, the system remains populated by families of quasi-periodic trajectories that can be used as a baseline for the proximity operations of future planetary moons explorers such as MMX.