Abstract
The motion of a gyrostat about a fixed point in uniform gravity and magnetic fields is considered. The gyrostatic moment is directed along a principal axis of inertia while the centre of mass and the magnetic moment lie in the orthogonal principal plane. We show that the conditions imposed by Dragovic (Mat. Vesnik 49 (1997) 279–281) on the motion in the integrable case pointed out by him and considered as a generalisation of the famous Goryachev–Chaplygin case (Mathematical Reviews: MR #99d: 70014) lead only to a pendulum-like motion about a fixed axis, in which the presence of the magnetic field is not significant. We show also that this motion remains possible even when the Goryachev conditions on the moments of inertia are completely removed.
Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
