On the polar tide impact on the Earth pole steady-state movenemt


Аuthors

Myo Z. A.

Moscow Aviation Institute (National Research University), 4, Volokolamskoe shosse, Moscow, А-80, GSP-3, 125993, Russia

e-mail: myozawaung53@gmail.com

Abstract

A small displacement of polar tide and a phase shift of coefficients of the tesseral harmonic of geopotential relative to the Earth pole oscillations is the result of the Earth mantle viscosity. This displacement is quite small, and insignificant for practical tasks, such as satellite navigation. However, it presents considerable interest for studying the Earth pole since it determines the steady-state mode of Chandler wobbles, as well as amplitude of the necessary external disturbance for Chandler wobble excitation of the Earth pole.

The expressions of the tesseral harmonic coefficients variations, stipulated by the polar tide of the viscoelastic Earth model, were obtained in this work by methods of nonlinear mechanics with infinite number of degrees of freedom. A viscoelastic solid body, consisting of the axisymmetric hard core and viscoelastic axisymmetric (in non-deformed state) shell, being subjected to deformation according to the Kelvin-Voigt model, is being considered as a simplified model of Earth. There are no displacements on the inner boundary of the shell, and the outer boundary one is free. It is supposed that the deformation process of the Earth can be assumed as quasi-stationary.

These expressions are being compared with the ones recommended for accounting by the International Earth Rotation Service. The steady-state oscillations mode of the Earth pole are being studied based on the Euler-liouville dynamic equations, with account for variations in geopotential coefficients due to the tidal deformations of the Earth mantle. The article demonstrates that the polar tide model selection significantly affects the parameters of the steady-state oscillatory process of the Earth pole and the amplitude of the necessary disturbance with the chandler frequency to excite the observed chandler oscillation of the pole.

Keywords:

Earth pole, Earth rotation parameters, geopotential

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