Symmetric Satellite Swarms and Choreographic Crystals.

@article{Boyle2014SymmetricSS,
  title={Symmetric Satellite Swarms and Choreographic Crystals.},
  author={Latham A. Boyle and Jun Yong Khoo and Kendrick Smith},
  journal={Physical review letters},
  year={2014},
  volume={116 1},
  pages={
          015503
        }
}
In this Letter, we introduce a natural dynamical analogue of crystalline order, which we call choreographic order. In an ordinary (static) crystal, a high degree of symmetry may be achieved through a careful arrangement of the fundamental repeated elements. In the dynamical analogue, a high degree of symmetry may be achieved by having the fundamental elements perform a carefully choreographed dance. For starters, we show how to construct and classify all symmetric satellite constellations. Then… 

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