Stability of the coplanar libration points in the photogravitational three-body problem

Astronomy and Astrophysics – Astronomy

Scientific paper

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Binary Stars, Librational Motion, Motion Stability, Particle Motion, Stellar Gravitation, Stellar Orbits, Three Body Problem, Astronomical Models, Cosmic Dust, Radiation Pressure

Scientific paper

The relative equilibrium positions (coplanar libration points) are investigated for a particle in a gas-dust cloud subject to the gravitational field of a binary star system, with allowance for radiation pressure. The dynamical model adopted is the restricted circular photogravitational three-body problem. Existence domains are established for the three-parameter family of coplanar libration points, and its Liapunov stability is tested.

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