The Zero Velocity Surfaces in the Photogravitational Restricted Three-Body Problem

The surfaces of zero velocity of the restricted three-body problem when the more massive body is luminous, are studied. The properties of the function Ω which determines these surfaces are given. It is found that the topological properties of the zero velocity surfaces while not affected by the variation of the mass parameter, are essentially varied when the radiation pressure parameter changes values. Closed regions where the motion can be trapped are described while periodic motions about the “out of plane” equilibrium points seem to be probable.