Flower constellation set theory. Part I: Compatibility and phasing Academic Article uri icon


  • Flower Constellations are special satellite constellations whose satellites follow the same 3-dimensional space track with respect to assigned rotating reference frame. This paper presents the theoretical foundation of compatibility and phasing of the Flower Constellations. Compatibility is the synchronization property of a Flower Constellation with respect to a rotating reference frame while phasing dictates the satellite distribution property. Compatibility and phasing, which are ruled by a set of five independent integer parameters, constitute the two main properties of the Flower Constellations. In particular, the dual-compatible Flower Constellations theory, which allows a simultaneous synchronization of the Flower Constellation dynamics with two independent rotating reference frames, is introduced. Meaningful examples and potential applications are briefly discussed. © 2008 IEEE.

author list (cited authors)

  • Mortari, D., & Wilkins, M. P.

citation count

  • 43

publication date

  • July 2008