 | | 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 |
Archive of Issues
| Total articles in the database: | | 11223 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8011
|
| In English (Mech. Solids): | | 3212 |
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| I. A. Mukhametzyanov, "On the stabilization of the cylindrical precession of a satellite in an elliptic orbit," Mech. Solids. 37 (2), 13-18 (2002) |
| Year |
2002 |
Volume |
37 |
Number |
2 |
Pages |
13-18 |
| Title |
On the stabilization of the cylindrical precession of a satellite in an elliptic orbit |
| Author(s) |
I. A. Mukhametzyanov (Moscow) |
| Abstract |
In [1], a family of Lyapunov functions has been constructed
for the stability analysis of unperturbed motions of time-varying
systems on the basis of their linear approximation. In [2], this
approach has been applied to construct mechanical systems having
globally asymptotically stable design motions. In the present paper,
these results are applied for the stabilization of the cylindrical
precession of a satellite in an elliptic orbit.
[This problem has been solved previously by S. A. Agafonov
for a satellite moving in a circular orbit. See S. A. Agafonov, Stability
Analysis of Motion of Nonconservative Mechanical Systems.
A D.Sc. (Physics and Mathematics) Thesis [in Russian], MGU, Moscow, 1992.] |
| References |
| 1. | I. A. Mukhametzyanov, "Construction of a family of Lyapunov
functions," Vestnik RUDN. Ser. Prikl. Matematika i Informatika,
No. 1, pp. 9-12, 1995. |
| 2. | I. A. Mukhametzyanov, "Construction of systems with globally
asymptotically stable design motions,"
Vestnik RUDN. Ser. Prikl. Matematika i Informatika,
No. 1, pp. 16-21, 1998. |
| 3. | V. V. Rumyantsev, "On the optimal stabilization of controlled
systems," PMM [Applied Mathematics and Mechanics], Vol. 34, No. 3,
pp. 440-456, 1970. |
| 4. | N. N. Krasovskii, "Problems of stabilization of controlled motions,"
in I. G. Malkin, Theory of Stability of Motion [in Russian], Appendix 4,
pp. 475-514, Nauka, Moscow, 1966. |
| 5. | V. V. Beletskii, The Motion of a Satellite about its Center
of Mass in the Gravitational Field [in Russian], Izd-vo MGU, Moscow, 1975. |
| 6. | T. R. Kane and P. M. Barba, "Effects of energy dissipation
on a spinning satellite," AIAA Journal, Vol. 4, No. 8, pp. 1391-1394,
1966. |
|
| Received |
24 April 2000 |
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