Abstract

The influence of internal dissipation on the rotational motion of the Earth in the gravitational field of the Sun and Moon is studied within the model of M.A. Lavrentiev. The averaged equations of second approximation describing the evolution of the Earth’s rotation axis and the magnitude of its angular velocity are obtained. The dependence of the rate of evolution on the values of the model parameters is studied. Phase trajectories of the evolutionary process are constructed for different parameter values. It is shown that the observed drift of the Earth’s magnetic poles can be explained within the framework of a mechanical model by the angular acceleration of the Earth.

中文翻译：

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内耗散力影响下地球自转运动的演化

摘要

在 MA Lavrentiev 模型中研究了太阳和月球引力场中内部耗散对地球自转运动的影响。得到了描述地球自转轴演化及其角速度大小的二阶近似平均方程。研究了进化速率对模型参数值的依赖性。针对不同的参数值构建演化过程的阶段轨迹。结果表明，观测到的地球磁极的漂移可以在力学模型的框架内用地球的角加速度来解释。