Linear stability of the triangular equilibrium points in the photogravitational elliptic restricted problem.

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Equations Of Motion, Lagrangian Equilibrium Points, Radiation Pressure, Solar System, Three Body Problem, Gravitational Fields, Riccati Equation

Scientific paper

The linear stability of the triangular equilibrium points in the photogravitational elliptic restricted problem is examined and the stability regions are determined in the space of the parameters of mass, eccentricity, and radiation pressure. It is found that radiation pressure of the larger body for solar system cases exerts only a small quantitative influence on the stability regions.

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