On the regular precession of an asymmetric rigid body acted upon by uniform gravity and magnetic fields

Publication date: Available online 1 April 2015 Source:Egyptian Journal of Basic and Applied Sciences Author(s): H.M. Yehia In 1947 Grioli discovered that an asymmetric heavy rigid body moving about a fixed point can perform a regular precession, which is the rotation of the body about an axis fixed in it, while that axis precesses with the same uniform angular velocity about a non-vertical axis fixed in space. In the present note, we show that a magnetized asymmetric rigid body moving about a fixed point while acted upon by uniform gravity and magnetic fields can perform a regular precession about a horizontal axis fixed in space orthogonal to the magnetic field. This motion does not contain Grioli's as a special case since the gravity and magnetic effects are coupled and can vanish only simultaneously.

Source: Egyptian Journal of Basic and Applied Sciences - April 1, 2015 Category: Science Source Type: research