• DocumentCode
    3559013
  • Title

    Flower constellation set theory part II: Secondary paths and equivalency

  • Author

    Wilkins, Matthew P. ; Mortari, Daniele

  • Author_Institution
    Schafer Corp., Chelmsford, MA
  • Volume
    44
  • Issue
    3
  • fYear
    2008
  • fDate
    7/1/2008 12:00:00 AM
  • Firstpage
    964
  • Lastpage
    976
  • Abstract
    In our previous research, the Flower Constellation set theory was introduced but specific details left out. In this work, the particular phasing theory that we have adopted is discussed in full. As a consequence of this choice of parametrization, a new class of orbit theory has emerged: secondary paths (SPs). The theory of SPs is developed and proved in this work. Examples of SPs are presented and discussed. Furthermore, we discuss the equivalency of Flower Constellations and resolve how certain disparate choices of integer parameters can generate identical satellite distributions.
  • Keywords
    Aerodynamics; Angular velocity; Orbits; Satellite constellations; Satellites; Synchronization; Trajectory; flower constellation set theory; orbit theory; phasing theory; satellite distributions; Aerospace engineering; Angular velocity; Equations; Neodymium; Optical design; Satellites; Set theory;
  • fLanguage
    English
  • Journal_Title
    Aerospace and Electronic Systems, IEEE Transactions on
  • Publisher
    ieee
  • Conference_Location
    7/1/2008 12:00:00 AM
  • ISSN
    0018-9251
  • Type

    jour

  • DOI
    10.1109/TAES.2008.4655356
  • Filename
    4655356