Nonlinear Stability of the Lagrangian Libration Points in the Chermnykh Problem |
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Authors: | Krzysztof Go?dziewski |
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Institution: | (1) Toruń Centre for Astronomy, N. Copernicus University, Poland |
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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.
This revised version was published online in August 2006 with corrections to the Cover Date. |
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Keywords: | three-body problem libration points stability normal forms |
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