Stability of the collinear point L 1 in the planar restricted photogravitational three-body problem in the case of equal masses of primaries

The planar restricted photogravitational three-body problem is considered. The motion of an infinitesimal small body (particle) under the Newtonian gravitational attraction of two bodies (primaries) is studied. It is supposed that primaries having equal masses move in weakly elliptic orbits and act...

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Published in:IOP conference series. Materials Science and Engineering 2020-09, Vol.927 (1), p.12015
Main Authors: Bardin, Boris S, Avdyushkin, Andrey N
Format: Article
Language:English
Subjects:
Canonical forms
Radiation pressure
Stability
Three body problem
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description The planar restricted photogravitational three-body problem is considered. The motion of an infinitesimal small body (particle) under the Newtonian gravitational attraction of two bodies (primaries) is studied. It is supposed that primaries having equal masses move in weakly elliptic orbits and act on the particle with radiation pressure repulsive forces. Using the method of normal forms, the nonlinear stability study of the collinear point L 1 is performed and rigorous conclusions on stability in the sense of Lyapunov or formal stability are obtained.
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subjects Canonical forms
Radiation pressure
Stability
Three body problem
title Stability of the collinear point L 1 in the planar restricted photogravitational three-body problem in the case of equal masses of primaries
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