Families of periodic orbits for solar sails in the CRBTP

摘要: We use the numerical continuation package AUTO to investigate families of periodic orbits in the solar sail circular restricted three-body problem. For a sail orientated perpendicular to the Sun-line we find significant differences to the classical case for some families near the Earth, including the L Halo family and retrograde satellite family. Specifically, we expand on existing results and find that the change in the Halo family H1 is associated with a bifurcation of a branch point in the retrograde satellite family, which splits H1 in half. We also track regions of stability within the family, and find some large amplitude stable orbits. For a sail tilted relative to the Earth-Sun line only we find large amplitude families with some stable orbits. Interestingly there is also a small range of parameters for which L 1 bifurcates into three separate points in this system.