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Analysis of the gyroscopic stabilization of a system of rigid bodies

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Abstract.

We study the gyroscopic stability of a three-body system. A new method of finding stability regions, based on mechanism and criteria for gyroscopic stabilization, is presented. Of particular interest in this connection is the theory of interaction of eigenvalues. This leads to a complete 3-dimensional analysis, which shows the regions of stability, divergence, and flutter of a simple model of a rotating spaceship.

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Authors and Affiliations

  1. Department of Mathematics, Bldg. 303, Technical University of Denmark, DK--2800 Lyngby, Denmark, e-mail: W. Kliem@mat.dtu.dk, , , , , , DK

    W. Kliem

  2. Moscow State Lomonosov University, Moscow, 117192, Russia, e-mail: seyran@inmech.msu.su, , , , , , SU

    A. P. Seyranian

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  1. W. Kliem
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  2. A. P. Seyranian
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Received: October 14, 1996; revised: March 24, 1997

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Kliem, W., Seyranian, A. Analysis of the gyroscopic stabilization of a system of rigid bodies. Z. angew. Math. Phys. 48, 840–847 (1997). https://doi.org/10.1007/s000330050067

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  • DOI: https://doi.org/10.1007/s000330050067

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