 | | 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
(print version) |
Archive of Issues
| Total articles in the database: | | 10522 |
| In Russian (ΟΜΜ): | | 9723
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| In English (J. Appl. Math. Mech.): | | 799 |
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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 |
| Link to Fulltext |
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