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Gravitational-Tidal Model of Oscillations of Earth’s Poles

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Abstract

Based on the analysis of solar and lunar gravitational momentum, a viscoelastic Euler- Liouville model of the Earth’s pole oscillations is constructed. The model is based on taking into account the data on Earth’s shape and physical processes and does not involve the use of mathematical fitting methods, for example, based on polynomials. Within the framework of the model, the chandler frequency has themeaning of the fundamental frequency of the oscillations of the mechanical system, and the annual frequency is interpreted as the frequency of the compelling force. A delicate mechanism of oscillation excitation is found, based on a combination of eigenfrequencies and forced frequencies. The model has only six parameters, found from the experimental data of the least-squares method. The received forecast has high accuracy on an interval of several years.

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Authors and Affiliations

  1. Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, pr. Vernadskogo 101, str. 1, Moscow, 119526, Russia

    S. A. Kumakshev

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  1. S. A. Kumakshev
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Correspondence to S. A. Kumakshev.

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Original Russian Text © S.A. Kumakshev, 2018, published in Izvestiya Akademii Nauk, Mekhanika Tverdogo Tela, 2018, No. 2, pp. 48–53.

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Kumakshev, S.A. Gravitational-Tidal Model of Oscillations of Earth’s Poles. Mech. Solids 53, 159–163 (2018). https://doi.org/10.3103/S0025654418020061

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  • DOI: https://doi.org/10.3103/S0025654418020061

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