Flyby in the Spatial Three-Body Problem

The spatial flyby map originates from the planar one to extend its applicability to the out-of-plane dynamics of the circular restricted three-body problem. A novel parametrisation enables to give new insights on the effect of the flyby on inclined orbits. The main contributions of this paper consists first of all in the development of the method itself, secondly, in the identification of two type of trajectories: prograde (type I) and retrograde (type II) flybys. Finally, the paper demonstrates that direct gravity assists (type I) are more efficient when compared to the retrograde ones. The new approach will enable a large-scale of applications in which inclined orbits are necessary for targeting non-coplanar objects but also to meet some specific mission requirements.