ANALYSIS OF THE GYROSCOPIC STABILIZATION OF A SYSTEM OF RIGID BODIES

Citation
W. Kliem et Ap. Seyranian, ANALYSIS OF THE GYROSCOPIC STABILIZATION OF A SYSTEM OF RIGID BODIES, Zeitschrift fur angewandte Mathematik und Physik, 48(5), 1997, pp. 840-847
Citations number
12
Categorie Soggetti
Mathematics,"Mathematical Method, Physical Science",Mathematics
ISSN journal
00442275
Volume
48
Issue
5
Year of publication
1997
Pages
840 - 847
Database
ISI
SICI code
0044-2275(1997)48:5<840:AOTGSO>2.0.ZU;2-N
Abstract
We study the gyroscopic stability of a three-body system. A new method of finding stability regions, based on mechanism and criteria for gyr oscopic stabilization, is presented. Of particular interest in this co nnection 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.