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A Celestial Mechanics Model of Oscillations of the Poles of a Deformable Earth

机译：变形地球两极振动的天体力学模型

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The problem of Chandler motion of the Earth's poles is studied in the context of the model of a vis-coelastic body. The Earth-Moon system is considered as a binary planet rotating around their barycenter. Numerical values of the period and amplitudes of oscillations of the poles are obtained by estimating the elastic deformation of the Earth and the variation of its inertia tensor, and they agree well with observational data. An evolution model of the Earth-Moon-Sun system is constructed by taking into account tidal forces of dissipation character. By means of the method of averaging, the qualitative properties of motion on asymptotically large intervals of time (comparable and essentially longer than the period of precession of the Earth's axis) are established and commented on.
机译：在粘弹性模型的背景下研究了地球两极的钱德勒运动问题。地球月亮系统被认为是围绕其重心旋转的二元行星。通过估算地球的弹性变形及其惯性张量的变化，可以获得磁极振荡周期和振幅的数值，它们与观测数据非常吻合。考虑了耗散特性的潮汐力，建立了地球-月亮-太阳系统的演化模型。通过求平均值的方法，建立了渐近的大时间间隔（可比并且实质上比地球轴的进动周期更长）上的运动的定性性质，并对其进行了注释。

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