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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