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Closed-form analysis of a class of damped systems

Published online by Cambridge University Press:  04 July 2016

K. Kumar  and
V. J. Modi
K. Kumar
Affiliation:
Department of Mechanical Engineering, The University of British Columbia, Canada
V. J. Modi
Affiliation:
Department of Mechanical Engineering, The University of British Columbia, Canada
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Extract

This note attempts to obtain an approximate solution for a class of second-order systems represented by

where the well-known procedures, such as perturbation, variation of parameters, the WKBJ analysis, etc, may prove to be inadequate. The approach is illustrated through an example related to the planar librations (satellite oscillations about its mass centre) of gravity gradient cylindrical satellites in circular orbit, subjected to the solar radiation pressure damping (Fig. 1).

Type
Technical Notes
Information
The Aeronautical Journal , Volume 78 , Issue 761 , May 1974 , pp. 209 - 211
Copyright
Copyright © Royal Aeronautical Society 1974 

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References

1. Kumar, K. Effect of solar radiations on the attitude dynamics of gravity oriented satell tes. PhD Thesis, University of British Columbia, May 1972.Google Scholar
2. Cunningham, W. J. Introduction to nonlinear analysis, pp 250–257. McGraw-Hill, New York, 1958.Google Scholar
3. Jeffreys, H. and Jeffreys, B. Methods of mathematical physics, pp 508–511. Cambridge University Press, Cambridge, 1950.Google Scholar