中文摘要：

地球自转是天文学和地球科学领域的交叉学科，对其研究具有重要的理论和实际意义．地球自转动力学理论的研究一般是在旋转对称模型基础上进行的，并得到了一系列与观测相符合的结论．但实际地球是一个非旋转对称的椭球体，甚至是梨形椭球体．因此，三轴地球模型的自转理论研究应该是有一定意义的．文献[17～19]认为，三轴刚体地球除了Euler自由摆动外，还存在第二自由摆动，以及地球自转存在自由加（减）速运动等．本文在经典力学和刚体地球自转Euler方程的基础上，研究了地球自转的自由运动，指出文献[17～19]给出的关于地球自转存在自由加速或减速的证明是不正确的，完全刚体地球自转也不可能存在第二自由摆动．

英文摘要：

The earth rotation is an intersectant subject between domains of astronomy and geoscience, and it＇s researches have important theoretical and practical meanings. The research on dynamical theory for whole Earth rotation commonly is based on hypothesis of the earth rotary symmetry, and obtained a series of conclusions coincident with observations have been obtained. In practice, the earth is a non-rolling-symmetry ellipsoid, so much as is an ellipsoid as a pear. Thereby, the theoretical researches should have definite meanings for the triaxial Earth model. The litera- ture [17-19] considered that, besides Eulerian wobble, there is secondary free wobble for the triaxial rigid earth, as well as, exists free acceleration or deceleration in the earth rotation etc. On the basis of the classical mechanics and Eulerian equation for the rigid Earth rotation, this paper investigates the free movement of the earth rotation, indicates that the argumentation presented by the literature [17-19] is erroneous with regard to free acceleration or deceleration in the earth rotation, and there is no second free wobble for the triaxial entire rigid Earth model, too.