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Evolution of perturbed rotations of an asymmetric Gyro in a gravitational field and a resisting medium

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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–Poinsotmotion and by using a modified averaging method is analyzed. An analytic study and numerical analysis are carried out.

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Authors and Affiliations

  1. Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, pr. Vernadskogo 101, str. 1, Moscow, 119526, Russia

    L. D. Akulenko

  2. Odessa State Academy of Civil Engineering and Architecture, ul. Didrikhsona 4, Odessa, 65029, Ukraine

    D. D. Leshchenko

  3. Mechnikov Odessa National University, ul. Dvoryanskaya 2, Odessa, 65023, Ukraine

    A. L. Rachinskaya & Yu. S. Shchetinina

Authors
  1. L. D. Akulenko
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  2. D. D. Leshchenko
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  3. A. L. Rachinskaya
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  4. Yu. S. Shchetinina
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Corresponding author

Correspondence to L. D. Akulenko.

Additional information

Original Russian Text © L.D. Akulenko, D.D. Leshchenko, A.L. Rachinskaya, Yu.S. Shchetinina, 2016, published in Izvestiya Akademii Nauk, Mekhanika Tverdogo Tela, 2016, No. 4, pp. 43–52.

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Akulenko, L.D., Leshchenko, D.D., Rachinskaya, A.L. et al. Evolution of perturbed rotations of an asymmetric Gyro in a gravitational field and a resisting medium. Mech. Solids 51, 406–414 (2016). https://doi.org/10.3103/S002565441604004X

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  • DOI: https://doi.org/10.3103/S002565441604004X

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