Regular precession of a rigid body (gyrostat) acted upon by an irreducible combination of three classical fields | ||||
Journal of the Egyptian Mathematical Society | ||||
Volume 25, Issue 2, 2017, Page 216-219 PDF (1.09 MB) | ||||
DOI: 10.1016/j.joems.2016.08.001 | ||||
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Abstract | ||||
We show that a heavy, magnetized and electrically charged asymmetric rigid body moving about a fixed point while carrying a rotor and acted upon by three uniform fields can perform a regular precession about a nonvertical axis, of the type described for the case of a single field by Grioli in 1947. This is the first, and the only known by now, non-equilibrium solution of the problem of motion of a body in the presence of three classical fields, which are irreducible to a less number of fields. | ||||
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