The Zero Velocity Surfaces in the Photogravitational Restricted ThreeBody Problem
Abstract
The surfaces of zero velocity of the restricted threebody 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.
 Publication:

Earth Moon and Planets
 Pub Date:
 June 1988
 DOI:
 10.1007/BF00113988
 Bibcode:
 1988EM&P...41..257R
 Keywords:

 Astronomical Photometry;
 Gravitational Effects;
 Surface Properties;
 Three Body Problem;
 Computational Astrophysics;
 Cosmic Dust;
 Mass Ratios;
 Radiation Pressure;
 Topology;
 Astrophysics