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    The contol of the motion through an ideal fluid of a rigid body by means of two moving masses

    2015, Vol. 11, No. 4, pp.  633–645

    Author(s): Kilin A. A., Vetchanin  E. V.

    In this paper we consider the problem of motion of a rigid body in an ideal fluid with two material points moving along circular trajectories. The controllability of this system on the zero level set of first integrals is shown. Elementary “gaits” are presented which allow the realization of the body’s motion from one point to another. The existence of obstacles to a controlled motion of the body along an arbitrary trajectory is pointed out.
    Keywords: ideal fluid, Kirchhoff equations, controllability of gaits
    Citation: Kilin A. A., Vetchanin E. V., The contol of the motion through an ideal fluid of a rigid body by means of two moving masses, Rus. J. Nonlin. Dyn., 2015, Vol. 11, No. 4, pp.  633–645
    DOI:10.20537/nd1504001


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