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.
- divergence instability
- flutter instability
- gyroscopic stabilization
- interaction of eigenvalues
Kliem, W., & Seyranian, A. P. (1997). Analysis of the gyroscopic stabilization of a system of rigid bodies. Zeitschrift fuer Angewandte Mathematik und Physik, 48(5), 840-847. https://doi.org/10.1007/s000330050067