Abstract

The investigation of the Lyapunov stability of stationary solutions of bounded problems in space dynamics means, first of all, the determination of resonance frequencies in intervals of linear stability of these solutions. In the present paper, we consider a bounded problem of space dynamics for 14 bodies with incomplete symmetry. We determine intervals of linear stability and compute resonance frequencies for these intervals. We also construct graphs of dependence on the geometric parameters of the configuration. We prove that there exist two resonance frequencies and give their numerical values.

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