Abstract
In this paper we consider the problem of motion of an infinitesimal point mass in the gravity field of an uniformly rotating dumb-bell. The aim of our study is to investigate Liapunov stability of Lagrangian libration points of this problem. We analyze the stability of libration points in the whole range of parameters ω, μ of the problem. In particular, we consider all resonance cases when the order of resonance is not greater than five.
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Goździewski, K. Nonlinear Stability of the Lagrangian Libration Points in the Chermnykh Problem. Celestial Mechanics and Dynamical Astronomy 70, 41–58 (1998). https://doi.org/10.1023/A:1008250207046
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DOI: https://doi.org/10.1023/A:1008250207046