Grioli-type precession relative to an inclined axis is considered in the pr
oblem of the motion of a heavy rigid body in a liquid, described by the Kir
chhoff-Clebsch equations with Chaplygin's condition. Conditions for the exi
stence of a solution, corresponding to this class of motions in the case wh
en the body's axes of spin and precession are not perpendicular to one anot
her, are obtained. (C) 2000 Elsevier Science Ltd. All rights reserved.