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Relativistic modelling of rotational motion of extended bodies represents oneof the most complicated problems of Applied Relativity. The relativisticreference systems of IAU (2000) give a suitable theoretical framework for sucha modelling. Recent developments in the post-Newtonian theory of Earth rotationin the limit of rigidly rotating multipoles are reported below. All componentsof the theory are summarized and the results are demonstrated. The experiencewith the relativistic Earth rotation theory can be directly applied to modelthe rotational motion of other celestial bodies. The high-precision theories ofrotation of the Moon, Mars and Mercury can be expected to be of interest in thenear future.

Relativistic aspects of rotational motion of celestial bodies