Journal of Mathematical Sciences

, Volume 70, Issue 5, pp 2028–2030 | Cite as

Studies of the dynamics of space motion of a class of parachute systems

  • M. S. Rybnikov
Aerodynamics, Dynamics, and Design of Parachute Systems
  • 14 Downloads

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.

Keywords

Mathematical Model Mechanical System Lyapunov Function Mass Point Space Motion 
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Literature cited

  1. 1.
    A. V. Kostrov, Motion of Axisymmetric Ballistic Devices [in Russian], Mashinostroenie, Moscow (1984).Google Scholar
  2. 2.
    A. I. Lur'e, Analytic Mechanics [in Russian], Fizmatgiz, Moscow (1961).Google Scholar
  3. 3.
    D. R. Merkin, An Introduction to the Theory of Stability of Motion [in Russian], Nauka, Moscow (1976).Google Scholar

Copyright information

© Plenum Publishing Corporation 1994

Authors and Affiliations

  • M. S. Rybnikov
    • 1
  1. 1.Simferopol' UniversityUSSR

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