On the stability of planar oscillations of a satellite-plate in the case of essential type resonance
2017, Vol. 13, No. 4, pp. 465–476
Author(s): Bardin B. S., Chekina E. A.
In this paper we perform a nonlinear analysis of the orbital stability of planar pendulum-like oscillations of a satellite-plate for previously unexplored parameter values corresponding to the boundaries of regions of stability in the first approximation, where the essential type resonances take place. It is proved that on the mentioned boundaries the planar pendulum-like oscillations are formally orbital stable or orbitally stable in third approximation.
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