The stability of coplanar libration points in the restricted photogravitational three-body problem

Statistics – Computation

Scientific paper

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Coplanarity, Gravitational Effects, Libration, Luminous Intensity, Motion Stability, Three Body Problem, Astronomical Coordinates, Computational Astrophysics, Mass Distribution

Scientific paper

The Liapunov stability of coplanar solutions for arbitrary values q1 and q2 (including values greater than unity) is investigated. The libration points L(gamma) and L(9) are always unstable. For the libration points L(6) and L(7), the stability regions are obtained for arbitrary values of the following three parameters: the ratio of the masses of the primaries and the two reduction coefficents describing the light pressure of these bodies.

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