NDLI: The 2-D lattice theory of Flower Constellations

Content Provider	Springer Nature Link
Author	Avendaño, Martín E. Davis, Jeremy J. Mortari, Daniele
Copyright Year	2013
Abstract	The 2-D lattice theory of Flower Constellations, generalizing Harmonic Flower Constellations (the symmetric subset of Flower Constellations) as well as the Walker/ Mozhaev constellations, is presented here. This theory is a new general framework to design symmetric constellations using a $$2\times 2$$ lattice matrix of integers or by its minimal representation, the Hermite normal form. From a geometrical point of view, the phasing of satellites is represented by a regular pattern (lattice) on a two-Dimensional torus. The 2-D lattice theory of Flower Constellations does not require any compatibility condition and uses a minimum set of integer parameters whose meaning are explored throughout the paper. This general minimum-parametrization framework allows us to obtain all symmetric distribution of satellites. Due to the $$J_2$$ effect this design framework is meant for circular orbits and for elliptical orbits at critical inclination, or to design elliptical constellations for the unperturbed Keplerian case.
Starting Page	325
Ending Page	337
Page Count	13
File Format	PDF
ISSN	09232958
Journal	Celestial Mechanics and Dynamical Astronomy
Volume Number	116
Issue Number	4
e-ISSN	15729478
Language	English
Publisher	Springer Netherlands
Publisher Date	2013-06-14
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Satellite constellations design Lattice flower constellation Hermite normal forms Astrophysics and Astroparticles Dynamical Systems and Ergodic Theory Aerospace Technology and Astronautics Geophysics/Geodesy Mechanics
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Mathematical Physics Astronomy and Astrophysics Modeling and Simulation Computational Mathematics Space and Planetary Science

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