Abstract
The linear stability of several classes of symmetrical relative equilibria of the Newtonian n-body problem are studied. Most turn out to be unstable; however, a ring of at least seven small equal masses around a sufficiently large central mass is stable.
School of Mathematics, University of Minnesota, 127 Vincent Hall, Minneapolis, MN 55455. Research supported by the NSF and the Sloan Foundation.
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Moeckel, R. (1995). Linear Stability Analysis of Some Symmetrical Classes of Relative Equilibria. In: Dumas, H.S., Meyer, K.S., Schmidt, D.S. (eds) Hamiltonian Dynamical Systems. The IMA Volumes in Mathematics and its Applications, vol 63. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-8448-9_20
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DOI: https://doi.org/10.1007/978-1-4613-8448-9_20
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