
This article is cited in 6 scientific papers (total in 6 papers)
Modeling and analysis of oscillations of electrodynamic tether system on orbit of Earth satellite
P. S. Voevodin^{a}, Yu. M. Zabolotnov^{b} ^{a} RocketSpace Centre "Progress", Samara
^{b} Samara State Aerospace University (SSAU)
Abstract:
The dynamics of the electrodynamic tether system while moving in orbit around the Earth is
investigated. The electrodynamic tether system consists of two spacecraft and the current
conducting tether. For the analysis of oscillations of the tether system in orbit is made to
construct a mathematical model of the system using the method of Lagrange. When constructing
a mathematical model assumes that the tether is stretched by Hooke's law. The case in which the
electrodynamic tether system operates in thrust generation, and a constant electric current is
passed through the tether is considered. On the tether, as a conductor, Ampere force acting in the
Earth's magnetic field, which is used to change the parameters of the orbit of the considered
mechanical system. Numerical and analytical methods are analyzed oscillations of tether system
in the gravitational field under the action of a distributed load of Ampere force. Detected and
analyzed the effects associated with the interaction of bending and transverse oscillations tether
system. It is shown that selfoscillations may occur in the system. Features of oscillations in the
system in the plane and in threedimensional case is considered. Impact on the oscillations in the
system the mass ratio of the spacecraft, the current value and other parameters is analyzed. The
possibilities of using conductive tethers to change the parameters of the spacecraft orbits are
measured. Numerical examples for the most typical cases, oscillations in the system are given.
Keywords:
electrodynamics tether system, spacecraft, Ampere force, dynamics, oscillations, mathematical simulation.
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Received: 11.05.2016
Citation:
P. S. Voevodin, Yu. M. Zabolotnov, “Modeling and analysis of oscillations of electrodynamic tether system on orbit of Earth satellite”, Matem. Mod., 29:6 (2017), 21–34
Citation in format AMSBIB
\Bibitem{VoeZab17}
\by P.~S.~Voevodin, Yu.~M.~Zabolotnov
\paper Modeling and analysis of oscillations of electrodynamic tether system on orbit of Earth satellite
\jour Matem. Mod.
\yr 2017
\vol 29
\issue 6
\pages 2134
\mathnet{http://mi.mathnet.ru/mm3855}
\elib{https://elibrary.ru/item.asp?id=29207725}
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http://mi.mathnet.ru/eng/mm3855 http://mi.mathnet.ru/eng/mm/v29/i6/p21
Citing articles on Google Scholar:
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Related articles on Google Scholar:
Russian articles,
English articles
This publication is cited in the following articles:

P. S. Voevodin, Yu. M. Zabolotnov, “On stability of the motion of electrodynamic tether system in orbit near the earth”, Mech. Sol., 54:6 (2019), 890–902

P. Voevodin, Yu. Zabolotnov, “Simulation of the braking process of a nanosatellite using an electrodynamic tether system”, 2019 Xxi International Conference Complex Systems: Control and Modeling Problems (Cscmp), eds. S. Nikitov, D. Bykov, S. Borovik, Y. Pleshivtseva, IEEE, 2019, 634–639

A. A. Tikhonov, “A control method for angular stabilization of an electrodynamic tether system”, Autom. Remote Control, 81:2 (2020), 269–286

P. S. Voevodin, Yu. M. Zabolotnov, “Analysis of the dynamics and choice of parameters of an electrodynamic space tether system in the thrust generation mode”, Cosmic Res., 58:1 (2020), 42–52

H. Lu, Yu. Zabolotnov, A. Li, “Impact analysis and orbit reboost of payload tossing using spinning electrodynamic tether system”, Int. J. Eng. Syst. Model. Simul., 11:4, SI (2020), 176–185

H. Lu, A. Li, C. Wang, Yu. M. Zabolotnov, “Stability analysis and motion control of spinning electrodynamic tether system during transition into spin”, Acta Astronaut., 177 (2020), 871–881

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