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On the Stability of Planar Librations of a Dumb-bell Satellite in an Elliptic Orbit

Published online by Cambridge University Press:  04 July 2016

R. C. Brereton  and
V. J. Modi
R. C. Brereton
Affiliation:
Department of Mechanical Engineering, University of British Columbia, Canada
V. J. Modi
Affiliation:
Department of Mechanical Engineering, University of British Columbia, Canada
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Extract

The planar librational motion of a dumb-bell satellite has been studied by several authors. In most cases the analysis has been restricted to circular or nearly circular orbits. In an elliptic orbit, the variation of the angular velocity of the satellite around the central body together with the change in the local gravity gradient provides the satellite with a mechanism for exchanging energy between the librational and orbital modes. In general, this imposes a limit on the orbit eccentricity for which stable (non-tumbling) librational motion is possible. This note investigates the bounds that must be placed on a disturbance applied to a slender gravity gradient stabilised satellite so that it will librate and not tumble. The determination of the stability boundary as presented here was arrived at by the numerical solution of the exact equation of motion, obtained using an IBM 7040 computer.

Type
Technical Notes
Information
The Aeronautical Journal , Volume 70 , Issue 672 , December 1966 , pp. 1098 - 1102
Copyright
Copyright © Royal Aeronautical Society 1966

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References

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