The zero velocity surfaces in the photogravitational restricted three-body problem

Statistics – Computation

Scientific paper

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

Scientific paper

The zero velocity surfaces of the photogravitational restricted three-body problem are examined when the more massive body is luminous. The properties of the function which determines these surfaces are given and the surfaces are depicted graphically. It is found that the topological properties of the zero velocity surfaces vary with changes in radiation pressure, although they do not vary with changing mass. Also, the closed regions where the motion can be trapped are described for situations where periodic motions about the out of plane equilibrium points seem probable.

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