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.

About the authors

L. D. Akulenko

Ishlinsky Institute for Problems in Mechanics

Author for correspondence.
Email: kumak@ipmnet.ru
Russian Federation, pr. Vernadskogo 101, str. 1, Moscow, 119526

D. D. Leshchenko

Odessa State Academy of Civil Engineering and Architecture

Email: kumak@ipmnet.ru
Ukraine, ul. Didrikhsona 4, Odessa, 65029

A. L. Rachinskaya

Mechnikov Odessa National University

Email: kumak@ipmnet.ru
Ukraine, ul. Dvoryanskaya 2, Odessa, 65023

Yu. S. Shchetinina

Mechnikov Odessa National University

Email: kumak@ipmnet.ru
Ukraine, ul. Dvoryanskaya 2, Odessa, 65023

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