Control of the motion of a triaxial ellipsoid in a fluid using rotors


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Abstract

The motion of a body shaped as a triaxial ellipsoid and controlled by the rotation of three internal rotors is studied. It is proved that the motion is controllable with the exception of a few particular cases. Partial solutions whose combinations enable an unbounded motion in any arbitrary direction are constructed.

About the authors

A. V. Borisov

Moscow Institute of Physics and Technology (State University); Udmurt State University

Author for correspondence.
Email: borisov@rcd.ru
Russian Federation, Dolgoprudnyi, Moscow Oblast; Izhevsk

E. V. Vetchanin

Udmurt State University; Kalashnikov Udmurt State Technical University

Email: borisov@rcd.ru
Russian Federation, Izhevsk; Izhevsk

A. A. Kilin

Udmurt State University; Krasovskii Institute of Mathematics and Mechanics

Email: borisov@rcd.ru
Russian Federation, Izhevsk; Ekaterinburg

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