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. © Springer-Verlag Berlin Heidelberg 2006.
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CITATION STYLE
Diarova, D., & Zemtsova, N. I. (2006). The instability of the rhombus-like central configurations in Newton 9-body problem. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 4194 LNCS, pp. 141–148). Springer Verlag. https://doi.org/10.1007/11870814_11
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