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Linearised Analysis of a Damped Gravity Orientated Satellite

Published online by Cambridge University Press:  04 July 2016

C. Tschann  and
V. J. Modi
C. Tschann
Affiliation:
Department of Mechanical Engineering, The University of British Columbia, Vancouver, Canada
V. J. Modi
Affiliation:
Department of Mechanical Engineering, The University of British Columbia, Vancouver, Canada
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Extract

The problem of maintaining a satellite in a fixed orientation relative to the earth has led to the investigation of several methods of attitude control. In particular, the one involving passive stabilisation using gravity-gradient torque has aroused considerable interest. However, a major limitation of this manner of stabilisation is its inability to achieve station keeping to a high degree of accuracy. Furthermore, some form of external damping is necessary to recover an equilibrium configuration in a reasonably short period of time. Modi and Brereton investigated the energy dissipating mechanism which was an extension of the model proposed by Paul The numerical analysis of the system with small damper mass showed limit cycles associated with the system to be identical with one of the periodic solutions of the undamped case.

Type
Technical Notes
Information
The Aeronautical Journal , Volume 75 , Issue 725 , May 1971 , pp. 348 - 352
Copyright
Copyright © Royal Aeronautical Society 1971 

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References

1. Modi, V. J. and Brereton, R. C. The Planar Motion of a Damped Gravity Gradient Stabilized Satellite, CASI Transactions, Vol 2, No 1, pp. 44–45. March 1969.Google Scholar
2. Paul, B. Planar Librations of an Extensible Dumbbell Satellite, AIAA Journal, Vol 1, No 2, pp. 411–418. February 1963.Google Scholar
3. Modi, V. J. and Tschann, C. Librational Motion of a Damped Gravity Orientated Satellite, CASI Transactions, Vol 3. No I, PA 55–61. March 1970.Google Scholar
4. Butenin, N. V. Elements of Non-Linear Oscillations, pp. 102–137, Blaisdell Publishing Company, New York, 1965.Google Scholar