A criterion for the linear stability of equilibrium points in the perturbed restricted three-body problem and applications in robe problem

Astronomy and Astrophysics – Astronomy

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Celestial Mechanics: Restricted Three-Body Problem, Robe Problem, Stability

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A criterion for the linear stability of the equilibrium points in the perturbed restricted three-body problem is given . The criterion only depends on the coefficients of the characteristics equations of their tangent maps and is applied expediently. The linear stability of the equilibrium points in the Robe problem with drag is discussed by the judging condition. The linear stable regions of the equilibrium points given by Hallan in the perturbed Robe problem with drag is derived , Giordanoc's results in are improved.

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