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.

published proceedings


author list (cited authors)

  • Mortari, D., & Wilkins, M. P.

citation count

  • 60

complete list of authors

  • Mortari, Daniele||Wilkins, Matthew P

publication date

  • July 2008