Journal of Applied Mathematics and Mechanics (about journal) Journal of Applied
Mathematics and Mechanics

Russian Academy of Sciences
 Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
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Yu.M. Zabolotnov, "Control of the deployment of a tethered orbital system with a small load into a vertical position," J. Appl. Math. Mech. 79 (1), 28-34 (2015)
Year 2015 Volume 79 Issue 1 Pages 28-34
DOI 10.1016/j.jappmathmech.2015.04.015
Title Control of the deployment of a tethered orbital system with a small load into a vertical position
Author(s) Yu.M. Zabolotnov (Samara, Russia, yumz@yandex.ru)
Abstract The construction and analysis of the laws for the deployment of a tethered orbital system consisting of two terminal bodies and a tether into a vertical position are considered. The case when the mass of one of the terminal bodies is much greater than the overall mass of the second body and the tether, when the latter are comparable in mass, is considered. In constructing a nominal law for controlling the deployment into a vertical position, a model system consisting of two terminal particles and a tether is used that is written in a moving orbital system of coordinates for a non-extendable tether. The realizability of the proposed control laws is estimated using a model of the controlled motion of a tethered orbital system with distributed parameters, taking account of the extensibility of the tether.
Received 13 March 2014
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