The stability of Lagrangian equilibrium points in the restricted three-body photogravitational problem

Astronomy and Astrophysics – Astronomy

Scientific paper

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Gravitational Effects, Lagrangian Equilibrium Points, Libration, Three Body Problem, Dynamic Stability, Variational Principles

Scientific paper

Stability regions are obtained for the majority of initial conditions of triangular and collinear libration points in a circular problem. The possibility that stable collinear libration points exist is demonstrated. It is noted, however, that neither two stable collinear points nor one linear and two triangular points can exist simultaneously.

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