关键词: 贾尼别科夫效应, 转动惯量, 欧拉动力学方程, 进动, 章动

Abstract: Based on the Dzhanibekov effect, some opinions have been circulated in the community that the Earth flip occurs when a reduction or increase of ice at the geographic poles as a weight imbalance can be caused during the melt or freeze of the Earth. In this paper, we investigate the changes in the Earth's freezing latitude that lead to changes in the global moment of inertia of the Earth, and analyze the Earth's precession and nutation. Both the Poinsot case without external force and the case of including tidal force in the calculation of the rotational motion of the triaxial rigid Earth indicate that the rotation of the Earth is most unstable when the freezing latitude is at 35°. Even if frozen to a depth of 33 km, the moment of inertia of the Earth's rotational axis does not change to an intermediate size, and the Dzhanibekov effect does not occur on the Earth. Therefore, our Earth will not be destroyed by the effect of Dzhanibekov flip. The simple calculation in this paper is helpful to understand the Earth's precession and nutation.

Key words:  , Dzhanibekov effect, moment of inertia, Euler dynamic equation, precession, nutation