This article is cited in 6 papers

Mathematical problems of nonlinearity

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

A. M. Hussein<sup>ab

a</sup> Faculty of Science and Arts, University of Bisha, Al-Namas 61977, Saudi Arabia
^b Department of Mathematics, Faculty of Science, Kafrelsheikh University, Kafr El-Sheikh 33516, Egypt

Abstract: 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.

MSC: 70E17

Received: 22.07.2019
Accepted: 01.08.2019

DOI: 10.20537/nd190307

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