Corpus ID: 119139118

On central configurations of twisted crowns

@article{Barrabes2016OnCC,
  title={On central configurations of twisted crowns},
  author={Esther Barrab'es and Josep M. Cors},
  journal={arXiv: Dynamical Systems},
  year={2016}
}
We consider the planar central configurations of the Newtonian $\kappa n$-body problem consisting in $\kappa$ groups of $n$-gons where all $n$ bodies in each group have the same mass, called $(\kappa, n)$-crown. We study the location and the number of central configurations when $\kappa=2$. For $n=3$ the number of central configurations varies depending on the mass ratio, whereas for $n\geq 4$ the number is at least three. We also prove that for $n\geq 3$ there always exist three disjoint… Expand

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