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Coupled Librational Motion of an Axi-Symmetric Satellite in a Circular Orbit

Published online by Cambridge University Press:  04 July 2016

V. J. Modi  and
S. K. Shrivastava
V. J. Modi
Affiliation:
The University of British Columbia, Vancouver, Canada
S. K. Shrivastava
Affiliation:
The University of British Columbia, Vancouver, Canada
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Extract

The review of the literature suggests that the planar motion of a rigid satellite in a gravity gradient field has been the subject of considerable investigation during the past ten years. In contrast the dynamic study of a satellite executing librational motion out of the orbital plane has received comparatively little attention. Such an investigation is important because as pointed out by Kane, for large amplitudes the transverse motion is strongly coupled with that in the plane.

The lack of information may be due to the complex nature of the problem. The non-linear, non-autonomous, coupled equations of motion involving a large number of parameters are not amenable to simple, concise analysis. Some simplification may be achieved by restricting the satellite motion to a circular orbit. For this case, as indicated by Auelmann, closed zero-velocity curves exist under certain conditions which limit the amplitude of motion.

Type
Technical Notes
Information
The Aeronautical Journal , Volume 73 , Issue 704 , August 1969 , pp. 674 - 680
Copyright
Copyright © Royal Aeronautical Society 1969 

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References

1. Klemperer, W. B. and Baker, R. M. Jr. Satellite Libra-tions, Astronaut Acta, Vol III, Fasc 1, pp 16–17, 1957.Google Scholar
2. Baker, R. M. Jr. Libration on a Slightly Eccentric Orbit, ARS Journal, Vol 30, No 1, pp 124–126, 1960.Google Scholar
3. Schechter, H. B. Dumbbell Librations in Elliptic Orbits, AIAA Journal, Vol 2, No 6, pp 1000–1003, 1964.Google Scholar
4. Brereton, R. C. and Modi, V. J. Stability of the Planer Librational Motion of a Satellite in an Elliptic Orbit, Proc XVII Int Astronaut Cong, Gordon & Breach Science Publishers Inc. New York, pp 179–192, 1967.Google Scholar
5. Kane, T. R. Attitude Stability of Earth-pointing Satellites, AIAA Journal, Vol 3, No 4, pp 726–731, 1965.Google Scholar
6. Auelmann, R. R. Regions of Libration for a Symmetrical Satellite, AIAA Journal, Vol 1, No 6, pp 1445–1446, 1963.Google Scholar
7. Modi, V. J. and Brereton, R. C. The Stability Analysis of Coupled Librational Motion of an Axi-symmetric Satellite in a Circular Orbit, Proc XVII Int Astronaut Cong, Pergamon Press, London, pp 109–120, 1968.Google Scholar
8. Krylov, N. M. and Bogoliubov, N. N. Introduction to Nonlinear Mechanics, Princeton University Press, 1943.Google Scholar
9. Butenin, N. V. Elements of Nonlinear Oscillation, Blaisdell, pp 102–137, 1965.Google Scholar
10. Brereton, R. C. A Stability Study of Gravity Oriented Satellites, PhD Thesis, University of British Columbia, pp 185–190, 1967.Google Scholar
11. Brereton, R. C. and Modi, V. J. Accuracy of the Numerically Generated Integral Manifolds, AIAA Journal (To be published).Google Scholar