The free accelerated motion of the triaxial rigid earth rotation

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 literature 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 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.