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IssuesArchive of Issues2018-3pp.271-276

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V.V. Perepelkin, "Oscillatory Processes in the Motion of the Earth's Pole at the Frequency of the Precession of the Moon's Orbit," Mech. Solids. 53 (3), 271-276 (2018)
Year 2018 Volume 53 Number 3 Pages 271-276
DOI 10.3103/S0025654418070051
Title Oscillatory Processes in the Motion of the Earth's Pole at the Frequency of the Precession of the Moon's Orbit
Author(s) V.V. Perepelkin (Moscow Aviation Institute (National Research University), Volokolamskoe sh. 4, Moscow, 125993 Russia, vadimkin1@yandex.ru)
Abstract To clarify the autonomous model for predicting the motion of a pole needed in navigation tasks, the effects of synchronization of the oscillatory process of a pole with the motion of the Earth-Moon system are investigated. Based on the use of the two-frequency model of Chandler and annual oscillations with constant coefficients and the processing of astrometric measurement data, an amplitude-frequency analysis of the observed oscillatory process of the pole was carried out. An approach to the study of oscillatory processes in the motion of the earth's pole is proposed on the basis of joint consideration of the Chandler and one-year components. It is shown that within the framework of such an approach one can find a transformation to a new coordinate system in which the pole motion is synchronized with the precession of the lunar orbit.
Keywords Earth pole oscillations, Chandler frequency, Earth rotation, precession of the lunar orbit, gravitational-tidal disturbance
References
1.  International Earth Rotation and Reference Systems Service - IERS Annual Reports, URL: http://www.iers.org.
2.  W. H. Munk and G. J. F. McDonald, The Rotation of the Earth. A geophysical discussion (Cambridge University Press, New York, 196; Mir, Moscow, 1964).
3.  L. D. Akulenko, S. A. Kumakshev, Yu. G. Markov, and L. V. Ryhlova, "A Model for the Polar Motion of the Deformable Earth Adequate for Astrometric Data," 79 (1), 81-89 (2002) [Astron. Rep. (Engl. Transl.) 46 (1), 74-82 (2002)].
4.  L. A. Akulenko, D. M. Klimov, Yu. G. Markov, and V. V. Perepelkin, "Oscillatory-Rotational Processes in the Earth Motion about the Center of Mass: Interpolation and Forecast," Izv. Ross. Akad. Nauk. Mekh. Tverd. Tela, No. 6, 6-29 (2012) [Mech. Solids (Engl. Transl.) 47 (6), 601-621 (2012)].
5.  L. D. Akulenko, S. A. Kumakshev, Yu. G. Markov, and L. V. Ryhlova, "A Gravitational-Tidal Mechanism for the Earth's Polar Oscillations," Astron. Zh. 82 (10), 950-960 (2005) [Astron. Rep. (Engl. Transl.) 49 (10), 847-857 (2005)].
6.  D. M. Klimov, L. D. Akulenko, and S. A. Kumakshev, "The Main Properties and Peculiarities of the Earth’s Motion Relative to the Center of Mass," Dokl. Ross. Akad. Nauk 458 (5), 547-550 (2014) [Dokl. Phys. (Engl. Transl.) 59 (10), 472-475 (2014)].
7.  V. V. Vityazev, Wavelet Analysis of Time Series (SPbSU, St. Petersburg, 2001) [in Russian].
Received 03 November 2017
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