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
Link To Document