Abstract
Planar motion of a space tether system (STS) simulated by a massless rod with two masses fixed on its edges and a third mass moving along the rod is considered. An equation of the pendulum-controlled motion of the system in an elliptical orbit is obtained. Problems of parametric control that takes the STS from one stable radial equilibrium state to another and stabilizes it with respect to planar excitations of two diametrically opposite positions of the relative equilibrium of the STS in a circular orbit are investigated. The control is a continuous law of motion for a moving mass along the tether on the swing principle. The solution is obtained in a closed form based on the second method of the classical stability theory by the construction of the corresponding Lyapunov functions. Asymptotic convergence of solutions is confirmed by the results of numerical modeling of the system motion.
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Original Russian Text © S.P. Bezglasnyi, E.E. Piyakina, 2015, published in Kosmicheskie Issledovaniya, 2015, Vol. 53, No. 4, pp. 353–359.
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Bezglasnyi, S.P., Piyakina, E.E. Parametric control of maneuver of a space tether system. Cosmic Res 53, 323–329 (2015). https://doi.org/10.1134/S0010952515040024
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DOI: https://doi.org/10.1134/S0010952515040024