Symmetric Satellite Swarms and Choreographic Crystals
Abstract
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 we explain how to generalize these ideas to construct and classify choreographic crystals more broadly. We introduce a quantity, called the "choreography" of a given configuration. We discuss the possibility that some (naturally occurring or artificial) manybody or condensedmatter systems may exhibit choreographic order, and suggest natural experimental signatures that could be used to identify and characterize such systems.
 Publication:

Physical Review Letters
 Pub Date:
 January 2016
 DOI:
 10.1103/PhysRevLett.116.015503
 arXiv:
 arXiv:1407.5876
 Bibcode:
 2016PhRvL.116a5503B
 Keywords:

 Condensed Matter  Other Condensed Matter;
 Mathematical Physics;
 Physics  Space Physics
 EPrint:
 5 pages, 1 figure, matches version published in PRL