Mechanics of Solids (about journal) Mechanics of Solids
A Journal of Russian Academy of Sciences
 Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936

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S. A. Agafonov and A. D. German, "Stabilization of the steady-state motion of a gyrostat satellite by means of external torques," Mech. Solids. 39 (4), 1-4 (2004)
Year 2004 Volume 39 Number 4 Pages 1-4
Title Stabilization of the steady-state motion of a gyrostat satellite by means of external torques
Author(s) S. A. Agafonov (Moscow)
A. D. German (Moscow)
Abstract The problem of stabilization of the steady-state motion (a cylindrical precession) of a dynamically symmetric gyrostat satellite by means of external torques is solved. The satellite center of mass moves in a circular orbit. The problem is solved in a rigorous nonlinear formulation. The attraction domain of the steady-state motion in the phase space is estimated. The estimate is expressed in terms of the parameters of the system. The problem is solved on the basis of the theorem on the stability of a mechanical system under the action of dissipative, gyroscopic, potential, and non-potential positional forces [1].
References
1.  S. A. Agafonov, "On the stability of nonconservative systems with estimation of the attraction domain," J. Dynamical and Control Systems, Vol. 6, No. 4, pp. 503-510, 2000.
2.  V. V. Beletskii, The Motion of a Satellite about its Center of Mass in the Gravitational Field [in Russian], Izd-vo MGU, Moscow, 1975.
3.  V. N. Koshlyakov, Issues of Dynamics of a Rigid Body and Applied Theory of Gyroscopes [in Russian], Nauka, Moscow, 1985.
Received 15 April 2002
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