Kafr El-Sheikh 33516, Egypt
Department of Mathematics, Faculty of Science, Kafrelsheikh University
Precessional Motion of a Rigid Body Acted upon by Three Irreducible Fields
2019, Vol. 15, no. 3, pp. 285-292
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.