 | | 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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| << Previous article | Volume 74, Issue 2 / 2010 | Next article >> |
| M.A. Novikov, "The stability boundaries of the steady motion of a satellite with a gyroscope," J. Appl. Math. Mech. 74 (2), 164-170 (2010) |
| Year |
2010 |
Volume |
74 |
Issue |
2 |
Pages |
164-170 |
| Title |
The stability boundaries of the steady motion of a satellite with a gyroscope |
| Author(s) |
M.A. Novikov (Irkutsk, Russia, hma@icc.ru) |
| Abstract |
Parts of the asymptotic stability boundaries of the uniform motion of the centre of mass of a system of bodies consisting of an asymmetrical satellite with a three-axis gyroscope in a circular orbit are investigated by the second Lyapunov method. Terms of the Lyapunov function that are higher than the second order are enlisted for the investigation. The sign-definiteness criterion of inhomogeneous forms is employed for the corresponding function. Parts of the stability boundaries in which the steady motion investigated is asymptotically stable are established using the Lyapunov asymptotic stability theorem. Application of the Barbashin and Krasovskii theorems reveals parts of the stability boundaries in which the steady motion is unstable. It is established that the asymptotic stability of the steady motion investigated is solved by expanding the Lyapunov function to sixth-order terms. |
| Received |
09 February 2009 |
| Link to Fulltext |
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