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A Journal of Russian Academy of Sciences
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IssuesArchive of Issues2024-6pp.3327-3335

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V.V. Perepelkin, "Dynamic Analysis of the Perturbed Motion of the Earth’s Pole," Mech. Solids. 59 (6), 3327-3335 (2024)
Year 2024 Volume 59 Number 6 Pages 3327-3335
DOI 10.1134/S0025654424603707
Title Dynamic Analysis of the Perturbed Motion of the Earth’s Pole
Author(s) V.V. Perepelkin (Moscow Aviation Institute (National Research University), Moscow, 125993 Russia, vadimkin1@yandex.ru)
Abstract 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.
Keywords Earth’s pole, Chandler wobble, annual wobble, pole tide, geopotential, motion around center of mass
Received 08 May 2024Revised 13 June 2024Accepted 20 June 2024
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