A numerical study of the influence of the Poynting-Robertson effect on the equilibrium points of the photogravitational restricted three-body problem II. Out of plane case

Astronomy and Astrophysics – Astrophysics

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Stars: Binaries: General, Celestial Mechanics, Methods: Numerical

Scientific paper

The photogravitational circular restricted three-body model including the Poynting-Robertson effect is employed to describe the motion of a particle in the vicinity of two massive radiating bodies. The equilibrium points lying out of the orbital plane of the primaries are studied numerically. The exact number of these points is determined by means of the topological degree theory. Subsequently, a modified bisection method is used to compute the positions of the equilibrium. Finally their stability is studied.

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