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Free core nutation (FCN) is the main factor that limits the accuracy of themodeling of the motion of Earth's rotational axis in the celestial coordinatesystem. Several FCN models have been proposed. A comparative analysis is madeof the known models including the model proposed by the author. The use of theFCN model is shown to substantially increase the accuracy of the modeling ofEarth's rotation. Furthermore, the FCN component extracted from the observedmotion of Earth's rotational axis is an important source for the study of theshape and rotation of the Earth's core. A comparison of different FCN modelshas shown that the proposed model is better than other models if used toextract the geophysical signal (the amplitude and phase of FCN) fromobservational data.

Empiric Models of the Earth's Free Core Nutation