Dynamic analysis of the perturbed motion of the Earth’s pole

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Within the framework of the spatial variant of the “deformable Earth–Moon” problem in the solar gravitational field for the viscoelastic Earth model, tidal deformations caused by long-period lunar disturbances are determined. The dynamics of the Earth’s pole motion with Chandler and annual frequencies is analyzed taking into account the obtained expressions for the centrifugal moments of inertia of the Earth. Using numerical integration of the equations of pole motion, it is shown that the found structure of variations in the centrifugal moments of inertia leads to oscillations in the amplitudes of the Chandler and annual harmonics with an 18-year period of precession of the Moon’s orbit.

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作者简介

V. Perepelkin

Moscow Aviation Institute (National Research University)

编辑信件的主要联系方式.
Email: vadimkin1@yandex.ru
俄罗斯联邦, Moscow

参考

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2. Fig. 1. Variations of the amplitudes of the Chandler and annual components, respectively, measured in milliarcseconds. The abscissa axis shows years.

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3. Fig. 2. Amplitude spectrum of coordinates , pole, measured in angular milliseconds (dashed line for x, solid line for y), where the vertical dotted lines indicate the fundamental harmonics. The abscissa axis shows time, measured in cycles per year.

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4. Fig. 3. Relative orientation of the terrestrial coordinate system and the Koenig coordinate system and Andoyer variables.

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5. Fig. 4. The amplitude spectrum of the coordinate observations (first graph) in comparison with the amplitude spectra of the coordinate of the solution of equations (4.4) (on the second and third graphs in logarithmic and linear scales, respectively).

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