Flat central configurations of four planet motions

  • He Shi
  • Fengmei Zou
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1360)


The flat central configurations of four planet motions are investigated with Wu's elimination method. We obtain 12 collinear central configurations and a necessary condition for determining flat but noncollinear central configurations. We also prove that the number of central configurations in planet motions of 4 bodies is finite under the condition that the masses and angular velocity of the planets do not satisfy any algebraic relations.

Key words

Central configuration Wu elimination 


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Copyright information

© Springer-Verlag Berlin Heidelberg 1998

Authors and Affiliations

  • He Shi
    • 1
  • Fengmei Zou
    • 1
  1. 1.Institute of Systems ScienceAcademia SinicaBeijingChina

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