Dmitry Tkachenko

    Donetsk, 74 Rosa Luxemburg street
    dntkachenko@mail.ru
    Institute of applied mathematics and mechanics

    Publications:

    Gorr G. V., Tkachenko D., Shchetinina E. K.
    Research on the Motion of a Body in a Potential Force Field in the Case of Three Invariant Relations
    2019, Vol. 15, no. 3, pp.  327-342
    Abstract
    The problem of the motion of a rigid body with a fixed point in a potential force field is considered. A new case of three nonlinear invariant relations of the equations of motion is presented. The properties of Euler angles, Rodrigues – Hamilton parameters, and angular velocity hodographs in the Poinsot method are investigated using an integrated approach in the interpretation of body motion.
    Keywords: potential force field, Euler angles, Rodrigues – Hamilton parameters, Poinsot method
    Citation: Gorr G. V., Tkachenko D., Shchetinina E. K.,  Research on the Motion of a Body in a Potential Force Field in the Case of Three Invariant Relations, Rus. J. Nonlin. Dyn., 2019, Vol. 15, no. 3, pp.  327-342
    DOI:10.20537/nd190310

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