Linear stability of relative equilibria with a dominant mass

  • Richard Moeckel


A criterion for the linear stability of relative equilibria of the Newtoniann-body problem is found in the case whenn−1 of the masses are small. Several stable periodic orbits of the problem are presented as examples.

Key words

Celestial mechanics relative equilibria stability 


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Copyright information

© Plenum Publishing Corporation 1994

Authors and Affiliations

  • Richard Moeckel
    • 1
  1. 1.School of MathematicsUniversity of MinnesotaMinneapolis

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