  We report on the multipolar equations of motion for spinning test bodies in
the de Sitter spacetime of constant positive curvature. The dynamics of
spinning particles is discussed for the two supplementary conditions of Frenkel
and Tulczyjew. Furthermore, the 4-momentum and the spin are explicitly
expressed in terms of the spacetime coordinates with the help of the 10 Killing
vectors available in de Sitter spacetime.
