Trajectory evolution in the multi-body problem with applications in the Saturnian system

► Periapsis Poincaré maps characterize the design space near P2 in CR3BP. ► Short- and long-term trajectory behavior is predictable based on a periapse state. ► Periapsis Poincaré maps provide a methodical trajectory design tool in CR3BP. ► Maps are applied to design examples in the Sun-Saturn and Saturn-Titan systems.