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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, kumak@ipmnet.ru)
D.D. Leshchenko (Odessa State Academy of Civil Engineering and Architecture, ul. Didrikhsona 4, Odessa, 65029 Ukraine, leshchenko_d@ukr.net)
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, powtampik@gmail.com)
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
References
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Received 25 June 2014
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