Time Quasi-Optimal Deceleration of Rotations of a Gyrostat with a Moving Mass in a Resistive Medium

  • L. D. AkulenkoEmail author
  • T. A. KozachenkoEmail author
  • D. D. LeshchenkoEmail author


The problem of time quasi-optimal deceleration of the rotations of a rigid body that includes elements with distributed and lumped parameters is studied. It is assumed that the body contains a spherical cavity filled with a highly viscous fluid (at small Reynolds numbers) and a viscoelastic element that is modeled by a moving mass connected to the body by a strong damper. The moving mass models loosely attached elements in a space vehicle, which can significantly affect the vehicle’s motion relative to its center of mass during a long period of time. In addition, the body is affected by a small medium resistance torque and a small control torque localized in a ellipsoidal domain. The problem is solved asymptotically based on the procedure of averaging the unperturbed precession over the phase. A numerical solution is obtained.



This work was supported by the Russian Science Foundation, project no. 16-11-10343.


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© Pleiades Publishing, Ltd. 2019

Authors and Affiliations

  1. 1.Institute for Problems in Mechanics, Russian Academy of SciencesMoscowRussia
  2. 2.Odessa State Academy of Civil Engineering and ArchitectureOdessaUkraine

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