Rapid rotations of a satellite with a cavity filled with viscous fluid under the action of moments of gravity and light pressure forces |
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Authors: | L. D. Akulenko Ya. S. Zinkevich D. D. Leshchenko A. L. Rachinskaya |
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Affiliation: | 1.Ishlinsky Institute for Problems in Mechanics,Russian Academy of Sciences,Moscow,Russia;2.Odessa State Academy of Civil Engineering and Architecture,Odessa,Ukraine;3.Mechnikov Odessa National University,Odessa,Ukraine |
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Abstract: | Rapid rotational motion of a dynamically asymmetric satellite relative to the center of mass is studied. The satellite has a cavity filled with viscous fluid at low Reynolds numbers, and it moves under the action of moments of gravity and light pressure forces. Orbital motions with an arbitrary eccentricity are supposed to be specified. The system, obtained after averaging over the Euler-Poinsot motion and applying the modified averaging method, is analyzed. The numerical analysis in the general case is performed, and the analytical study in the axial rotation vicinity is carried out. The motion in the specific case of a dynamically symmetric satellite is considered. |
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