Abstract
In papers (Goździewski and Maciejewski, 1998a, 1998b, 1999) inspired by the ideas of Kokoriev and Kirpichnikov (1988, 1988) we investigate unrestricted, planar problem of a symmetric rigid body and a sphere. We call it the KK problem from hereafter. In this paper we study the nonlinear stability of the triangular equilibria existing in this model in the case of low order resonances (up to the order four). Detailed analysis of the existence and bifurcations of the equilibria as well as their linear stability one can find our recently published paper (Goździewski and Maciejewski, 1999).
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© 2001 Springer Science+Business Media Dordrecht
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Goźdiewski, K. (2001). Lyapunov Stability of the Lagrangian Libration Points in the Unrestricted Problem of a Symmetric Body and a Sphere in Resonance Cases. In: Pretka-Ziomek, H., Wnuk, E., Seidelmann, P.K., Richardson, D.L. (eds) Dynamics of Natural and Artificial Celestial Bodies. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-1327-6_34
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DOI: https://doi.org/10.1007/978-94-017-1327-6_34
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