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

Statistics – Computation

Scientific paper

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Dynamic Stability, Gravitational Effects, Libration, Nonlinear Systems, Stellar Luminosity, Three Body Problem, Binary Stars, Computational Astrophysics, Molecular Clouds

Scientific paper

The stability of a three-parametric family of the relative equilibrium positions (the triangular libration points) of a gas-dust cloud particle in the field of a double star is investigated. The photogravitational restricted circular three-body problem is considered as a dynamical model in which unlike in the classical one both main bodies are luminous. It is shown that stability exists for the majority of the initial conditions and formal stability of the triangular libration points exists practically in the whole area of stability to a first approximation. The resonances of the third and the fourth order, that can disturb formal stability, are considered.

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