The Instability of the Rhombus-Like Central Configurations in Newton 9-Body Problem

  • D. Diarova
  • N. I. Zemtsova
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4194)


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.


Linear Stability Computer Algebra Computer Algebra System Restricted Problem Elliptic Case 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • D. Diarova
    • 1
  • N. I. Zemtsova
    • 2
  1. 1.Institute of Oil and GasAtyrauKazakhstan
  2. 2.Computing Center of RASMoscow

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