The gyroscopic stability of the triangular stationary solutions of the generalized planar three-body problemстатья
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Аннотация:The gyroscopic stability of the triangular solutions is investigated for the generalized planar three-body problem (point masses) which differs from the classical three-body problem by the addition of a weightless elastic tether connecting two of the three bodies. It is shown that, when tether has low stiffness and the masses of the connected bodies are substantially different, the triangular motions are stable for any values of the remaining parameters of the system.