Numerical investigation of perturbation effects on orbital classifications in the restricted three-body problem

Recently, a new class of trajectory design methods based on dynamical systems theory has been vigorously researched. The qualitative information regarding dynamical flows in the phase space of the circular-restricted three-body system, provided mostly by orbital classification, offers an effective framework for the trajectory design problem. In this study, the perturbation effect due to the other bodies as well as the eccentricity effect of the primaries on the orbital classification are examined in detail through numerical simulations. The design algorithm is then augmented, so that trajectories can be designed for the three-body system including perturbing forces. It is verified that a set of trajectories, captured ballistically by the smaller primary, is easily found on an arbitrarily chosen Poincaré section by the extended search procedure. As a direct application, furthermore, the design method for transfers between two elliptic orbits is demonstrated.