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First name, Middle name, Last name, Scientific degree, Scientific rank, Current position. Full and brief name of the organization, The organization address.Vorontsova V.L. – candidate of physical and mathematical sciences, associate professor E-mail: This e-mail address is being protected from spambots. You need JavaScript enabled to view it Kazan Federal University Institute of Mathematics and Mechanics N.I. Lobachevskogo The organization address: 420008, Russia, Kazan, Kremlevskaya st., 18
Title of the articleAbout influence of the growth of aerodynamic parameters on the behavior of limit cycles while orbital tether system driving in a circular orbit
Abstract.Assessing the impact of aerodynamic effects on the rotation and position of artificial satellites, carried out over several decades is still an urgent task. The new interest in this area arose in connection with the design of large-scale tether systems, in which the effect of the aero-gradient is considered significant. In this paper study of the limit cycle for the equation of the relative motion of two bodies’ rigid orbital link, taking into account the gravitation effect influence, the aerodynamic pressure, aero-gradient and dissipative factors, depending on the growth of aerodynamic parameter a when moving in a circular orbit. With the numerical implementation of the Poincare method of pointed mapping we have constructed phase portraits of the task with regular and random motions, and also traced the evolution of these phase portraits with the change of parameters.
Keywords.space systems dynamics, qualitative theory of dynamical systems, orbital bunch of bodies, tether systems, limit cycles, aero¬dynamic parameter, eccentricity of the orbit.
For citations:Vorontsova V.L. About influence of the growth of aerodynamic parameters on the behavior of limit cycles while orbital tether system driving in a circular orbit // Izvestiya KGASU. 2016. №3(37) P.263-267.


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