STABILITY MAPS, GLOBAL DYNAMICS AND TRANSFERS

摘要

Homoclinic and heteroclinic connections associated with unstable periodic orbits structure the global transport phenomena in phase space. From a spacecraft trajectory design viewpoint, these connections correspond to thrust-free, dynamical transfers relating, potentially, distant regions of phase space. Stability maps based on a fast Lyapunov indicator are shown to exhibit the main connections of a class of unstable periodic orbits lying at the boundary of stability regions in the planar circular restricted three-body problem. The corresponding transfers are shown to present good recovery properties and may thus form the basic building blocks for some trajectory design problems in planet-satellite systems. The graphical representation of these global dynamics thus enable a quick overview of possible transfer path between different dynamical regimes. These ideas are illustrated in the Jupiter-Europa system.