Abstract
A mathematical model of space motion of a mechanical system that consists of a load and a parachute is presented. With the help of the apparatus of the Lyapunov functions, a particular case of the model is studied when the load can be considered as a mass point that does not have resistance. A sufficient condition of stability is obtained. The results can be applied to the model/ing and construction of parachute systems.
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A. V. Kostrov, Motion of Axisymmetric Ballistic Devices [in Russian], Mashinostroenie, Moscow (1984).
A. I. Lur'e, Analytic Mechanics [in Russian], Fizmatgiz, Moscow (1961).
D. R. Merkin, An Introduction to the Theory of Stability of Motion [in Russian], Nauka, Moscow (1976).
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Translated from Dinamicheskie Sistemy, No. 9, pp. 99–102, 1990.
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Rybnikov, M.S. Studies of the dynamics of space motion of a class of parachute systems. J Math Sci 70, 2028–2030 (1994). https://doi.org/10.1007/BF02110834
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DOI: https://doi.org/10.1007/BF02110834