Unchained polygons and the N-body problem

@article{Chenciner2009UnchainedPA,
  title={Unchained polygons and the N-body problem},
  author={Alain Chenciner and Jacques F'ejoz},
  journal={Regular and Chaotic Dynamics},
  year={2009},
  volume={14},
  pages={64-115}
}
  • Alain Chenciner, Jacques F'ejoz
  • Published 2009
  • Mathematics
  • Regular and Chaotic Dynamics
  • We study both theoretically and numerically the Lyapunov families which bifurcate in the vertical direction from a horizontal relative equilibrium in ℝ3. As explained in [1], very symmetric relative equilibria thus give rise to some recently studied classes of periodic solutions. We discuss the possibility of continuing these families globally as action minimizers in a rotating frame where they become periodic solutions with particular symmetries. A first step is to give estimates on intervals… CONTINUE READING

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