 | | 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
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| V. S. Aslanov and A. V. Doroshin, "Two cases of motion of an unbalanced gyrostat," Mech. Solids. 41 (4), 29-39 (2006) |
| Year |
2006 |
Volume |
41 |
Number |
4 |
Pages |
29-39 |
| Title |
Two cases of motion of an unbalanced gyrostat |
| Author(s) |
V. S. Aslanov (Samara)
A. V. Doroshin (Samara) |
| Abstract |
We consider two cases of motion of an unbalanced gyrostat, namely, a heavy
dynamically symmetric gyrostat with arbitrary internal interaction moment
and a free gyrostat with internal moment of special form. For the heavy
gyrostat, we obtain general solutions of the equations of motion in terms
of Jacobi elliptic functions and study the mode of "lunar" motion. We
consider the motion of the free gyrostat whose rotor rotates around the
principal axis of inertia of the platform (this axis corresponds to the
maximum moment of inertia) under the action of a moment of special form. In
this case, the solutions of the dynamic equations of motion are also found
in terms of elliptic functions admitting the subsequent solution of the
Darboux problem. The solutions obtained can be used in applied problems of
space flight mechanics, in particular, in problems of spacecraft reentry
and in the description of the motion and realignment of a
satellite-gyrostat in space. |
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|
| Received |
23 May 2005 |
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