Precessional Motion of a Rigid Body Acted upon by Three Irreducible Fields

    Received 22 July 2019

    2019, Vol. 15, no. 3, pp.  285-292

    Author(s): Hussein A. M.

    We consider a quit general problem of motion of an asymmetric rigid body about a fixed point, acted upon by an irreducible skew combination of gravitational, electric and magnetic fields. Two of those three fields are uniform and the third has a more complicated structure. The existence of precessional motions about a nonvertical axis is established. Conditions on the parameters of the system are obtained. An alternative physical interpretation is given in the framework of the problem of motion of a rigid body immersed in an incompressible perfect fluid, acted upon by torques due to two uniform fields.
    Keywords: rigid body, precessional motion, three irreducible fields
    Citation: Hussein A. M., Precessional Motion of a Rigid Body Acted upon by Three Irreducible Fields, Rus. J. Nonlin. Dyn., 2019, Vol. 15, no. 3, pp.  285-292
    DOI:10.20537/nd190307


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