New Insights on Flower Constellations Theory Academic Article

abstract

• The theory of Flower Constellations consists of a general methodology to design axial-symmetric satellite constellations whose satellites all move on the same trajectory with respect to a reference frame rotating at assigned constant angular velocity. Due to the complexity, the Flower Constellations theory as introduced by the authors, is incomplete, leaving open several problems, such as the equivalency and the similarity. In this article, the foundations of the Flower Constellations theory are revisited from a mathematical perspective, and three new important invariants of these constellations are found constituting fundamentals toward the complete theory. These are: the (,M)-space, the flower anomaly, and the configuration number. Using these elements, we provide a theorem giving the necessary and sufficient conditions for the equivalency problem in the (,M)-space and an algorithm allowing to generate all the similar Flower Constellations to a given one. 1965-2011 IEEE.

authors

• Mortari, Daniele

published proceedings

• IEEE TRANSACTIONS ON AEROSPACE AND ELECTRONIC SYSTEMS

author list (cited authors)

• Avendano, M. E., & Mortari, D.

citation count

• 14

publication date

• January 2012

publisher

• Institute of Electrical and Electronics Engineers (IEEE)  Publisher

keywords

• 40 Engineering
• 4001 Aerospace Engineering
• 4006 Communications Engineering
• 4009 Electronics, Sensors And Digital Hardware

Digital Object Identifier (DOI)

• 10.1109/TAES.2012.6178046

start page

• 1018

end page

• 1030

volume

• 48

issue

• 2

URL

• http%3A%2F%2Fdx.doi.org%2F10.1109%2Ftaes.2012.6178046