In this section, we utilize principles from dynamical system theory to generate a resonance path, which consists of a sequence of resonance orbits that facilitate a near ballistic trajectory. We begin by precomputing the corresponding resonance orbits within a multi-body dynamics framework. This resonance orbit then serves as the initial point for our Indirect Forward-Backward Shooting algorithm.

For the intermittent transfer, we strategically place one node for each synodic revolution around Saturn, with these nodes fixed at the flyby locations. Specifically, for the Saturn-Tethys segment of the transfer, the nodes are anchored at the apoapsis, while for the Saturn-Epimetheus segment, the nodes are positioned at the periapsis. Additionally, the time of flight for each leg of the transfer is aligned with the orbital period of the corresponding resonance orbit.