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IssuesArchive of Issues2016-4pp.406-414

Archive of Issues

Total articles in the database: 9179
In Russian (. . ): 6485
In English (Mech. Solids): 2694

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L.D. Akulenko, D.D. Leshchenko, A.L. Rachinskaya, and Yu.S. Shchetinina, "Evolution of Perturbed Rotations of an Asymmetric Gyro in a Gravitational Field and a Resisting Medium," Mech. Solids. 51 (4), 406-414 (2016)
Year 2016 Volume 51 Number 4 Pages 406-414
DOI 10.3103/S002565441604004X
Title Evolution of Perturbed Rotations of an Asymmetric Gyro in a Gravitational Field and a Resisting Medium
Author(s) L.D. Akulenko (Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, pr. Vernadskogo 101, str. 1, Moscow, 119526 Russia,
D.D. Leshchenko (Odessa State Academy of Civil Engineering and Architecture, ul. Didrikhsona 4, Odessa, 65029 Ukraine,
A.L. Rachinskaya (Mechnikov Odessa National University, ul. Dvoryanskaya 2, Odessa, 65023 Ukraine)
Yu.S. Shchetinina (Mechnikov Odessa National University, ul. Dvoryanskaya 2, Odessa, 65023 Ukraine,
Abstract We study the fast rotational motion of a dynamically asymmetric satellite with a spherical cavity filled with a highly viscous liquid about the center of mass under the action of gravitational torque and medium drag torques. The system obtained by averaging over the Euler-Poinsot motion and by using a modified averaging method is analyzed. An analytic study and numerical analysis are carried out.
Keywords satellite, gravitational torque, medium resistance, cavity filled with a viscous liquid, averaging
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6.  L. D. Akulenko, D. D. Leshchenko, and F. L. Chernous'ko, "Fast Motion of a Heavy Rigit Body about a Fixed Point in a Resistive Medium," Izv. Akad. Nauk SSSR. Mekh. Tverd. Tela, No. 3, 5-13 (1982) [Mech. Solids (Engl. Transl.) 17 (3), 1-8 (1982)].
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8.  L. D. Akulenko, D. D. Leshchenko, and A. L. Rachinskaya, "Evolution of the Satellite Fast Rotation Due to the Gravitational Torque in a Resisting Medium," Izv. Akad. Nauk. Mekh. Tverd. Tela, No. 2, 13-26 (2008) [Mech. Solids (Engl. Transl.) 43 (2), 173-184 (2008)].
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13.  L. D. Akulenko, D. D. Leshchenko, and A. L. Rachinskaya, "Evolution of Rotations of a Satellite with a Cavity Filled with a Viscous Liquid," Mekh. Tverd. Tela, No. 37, 126-139 (2007).
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16.  L. D. Akulenko, Ya. S. Zinkevich, D. D. Leshchenko, and A. L. Rachinskaya, "Rapid Rotations of a Satellite with a Cavity Filled with a Viscous Fluid under the Action of Moments of Gravity and Light Pressure Forces," Kosmich. Issled. 49 (5), 453-463 (2011) [Cosmic Res. (Engl. Transl.) 49 (5), 440-451 (2011)].
17.  D. D. Leshchenko, A. L. Rachinskaya, and Yu. S. Shchetinina, "Evolution of Rotations of a Symmetric Gyro in a Gravity Field and in a Resisting Medium," Makhanika Tverd. Tela, No. 42, 93-102 (2012).
18.  L. D. Akulenko, D. D. Leshchenko, A. L. Rachinskaya, and Ya. S. Zinkevich, Perturbed and Controlled Rotations of a Rigid Body (Mechnikov Odessa Nation. Univ., Odessa, 2013) [in Russian].
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Received 25 June 2014
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