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)
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ISSN 0021-8928
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IssuesArchive of Issues2011-2pp.165-170

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A.S. Sumbatov, "The steady motions of a three-body system in weightlessness conditions," J. Appl. Math. Mech. 75 (2), 165-170 (2011)
Year 2011 Volume 75 Issue 2 Pages 165-170
Title The steady motions of a three-body system in weightlessness conditions
Author(s) A.S. Sumbatov (Moscow, Russia, sumbatow@ccas.ru)
Abstract The stability of the steady motions by inertia of a combination of three point masses, forming an open chain, is investigated using the Routh-Lyapunov theorem. The problem is investigated in two different formulations: in the first formulation the mean mass is fixed with respect to a thread, and in the second it can move along that thread without friction, while constant tension of the thread is ensured by additional devices, consuming external energy. In steady motions, the configurations of the arrangement of the masses in both systems are similar, but the stability conditions are found to be different.
Received 21 January 2010
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