Abstract
A rare conditional integrable case of rigid body dynamics, recently introduced in J. Phys. A: Math. Theor. 2013, is shown to remain integrable when one of the two singular terms of the potential is removed and a symmetric rotor is attached along the axis of dynamical symmetry of the body.
Physical interpretation of the new case is possible as a motion of a heavy magnetized gyrostat carrying electric charges in an axially symmetric combination of the three classical fields. (C) 2016 Elsevier Ltd. All rights reserved.