A hidden barrier surface complementary to the zero velocity surface in the circular restricted three-body problem

Abstract The zero velocity surface has been one of the most fundamental structures in many dynamical systems. It plays the role of a barrier placing bounds on the motion and separating the regions of possible and impossible motion. The present paper identifies another barrier surface in addition to the zero velocity surface in the circular restricted three-body problem. We highlight the feature of the new surface in bounding trajectories complementary to that of the zero velocity surface.