Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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On the damping of a satellite motion


Author: J. A. Morrison
Journal: Quart. Appl. Math. 22 (1964), 148-152
MSC: Primary 85.34
DOI: https://doi.org/10.1090/qam/164789
MathSciNet review: 164789
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Abstract: The motion in a circular orbit of a gravitationally oriented satellite, whose angular motions about the local vertical are damped by a roll-vee, gyrostabilizer system, is considered, wherein the pitch axis of the satellite remains perpendicular to the orbital plane. It is shown that no matter how large the initial local angular velocity of the satellite is, this velocity reaches any given smaller value in a finite time. It is also shown how it is possible to obtain a bound on this damping time.


References [Enhancements On Off] (What's this?)

  • [1] J. A. Lewis and E. E. Zajac, The roll-vee, two-gyro satellite attitude control system, to appear in the Bell System Technical Journal.

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DOI: https://doi.org/10.1090/qam/164789
Article copyright: © Copyright 1964 American Mathematical Society


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