1 Department of Mathematics, Technical University of Denmark2 unknown3 Department of Applied Mathematics and Computer Science, Technical University of Denmark
We study the gyroscopic of a three-body system. A new method offinding stability regions, based on mechanism and criteria for gyroscopicstabilization, is presented. Of particular interest in this connection isthe theory of interaction of eigenvalues. This leads to a complete 3-dimensionalanalysis, which shows the regions of stability, divergence, and flutter ofa simple model of a rotating spaceship.