Abstract
E.A.Grebenikov and A.N.Prokopenya proved that rhombus-like central configuration in Newton 5-body problem is unstable. In this article, the problem of existence and stability of the rhombus-like central configurations in Newton 9-body problem, which consists of two homothetic rhombuses, is studied. It is proved that these central configurations are unstable. All computations are executed by means of computer algebra system Mathematica.
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References
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Diarova, D., Zemtsova, N.I. (2006). The Instability of the Rhombus-Like Central Configurations in Newton 9-Body Problem. In: Ganzha, V.G., Mayr, E.W., Vorozhtsov, E.V. (eds) Computer Algebra in Scientific Computing. CASC 2006. Lecture Notes in Computer Science, vol 4194. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11870814_11
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DOI: https://doi.org/10.1007/11870814_11
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-45182-2
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