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Mathematical Problems in Engineering
Volume 2013, Article ID 483457, 7 pages
Research Article

Averaging Methods for Design of Spacecraft Hysteresis Damper

1School of Technology and Management of Lamego, Avenida Visconde Guedes Teixeira, 5100-074 Lamego, Portugal
2Centre for Aerospace Science and Technologies, University of Beira Interior, Calçada Fonte do Lameiro, 6201-001 Covilhã, Portugal
3Scientific Area of Mathematics, ESTGV, Polytechnic Institute of Viseu, Campus Politécnico, 3504-510 Viseu, Portugal
4Centre of Physics, Department of Mathematics and Applications, University of Minho, Campus de Gualtar, 4710-057 Braga, Portugal

Received 29 April 2013; Accepted 22 May 2013

Academic Editor: Antonio F. Bertachini A. Prado

Copyright © 2013 Ricardo Gama et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This work deals with averaging methods for dynamics of attitude stabilization systems. The operation of passive gravity-gradient attitude stabilization systems involving hysteresis rods is described by discontinuous differential equations. We apply recently developed averaging techniques for discontinuous system in order to simplify its analysis and to perform parameter optimization. The results obtained using this analytic method are compared with those of numerical optimization.