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IssuesArchive of Issues2018-6pp.601-608

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L.D. Akulenko and V.V. Perepelkin, "Dynamic Analysis of Perturbed Chandler Oscillations of the Earth's Pole," Mech. Solids. 53 (6), 601-608 (2018)
Year 2018 Volume 53 Number 6 Pages 601-608
DOI 10.3103/S0025654418060018
Title Dynamic Analysis of Perturbed Chandler Oscillations of the Earth's Pole
Author(s) L.D. Akulenko (Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, pr. Vernadskogo 101, str. 1, Moscow, 119526 Russia)
V.V. Perepelkin (Moscow Aviation Institute (National Research University), Volokolamskoe sh. 4, Moscow, 125993 Russia, vadimkin1@yandex.ru)
Abstract On the basis of the developed analytical model of the motion of a deformable Earth relative to the center of mass, the disturbed motion of the Earth's pole is investigated. Taking into account the influence of the pole tide by linear and nonlinear dissipative terms, as well as disturbances at close to the Chandler frequency, corrections to the frequency and amplitudes of the Chandler oscillations depending on the dissipation coefficients were found in the equations of motion of the Earth's pole.
Keywords the Earth's pole, the Chandler oscillation, the motion of the Earth relative to the center of mass, dissipation
References
1.  International Earth Rotation and Reference Systems Service - IERS Annual Reports (http://www.iers.org).
2.  W.H. Munk and G.J.F. MacDonald, The Rotation of the Earth (Cambridge Univ. Press, Cambridge, 1960; Mir, Moscow, 1964).
3.  L.D. Akulenko, S.A. Kumakshev, Yu.G. Markov, and L.V. Rykhlova, "A Model for the Polar Motion of the Deformable Earth Adequate for Astrometric Data," Astron. Zh. 79 (1), 481-489 (2002) [Astron. Rep. (Engl. Transl.) 46 (1), 74-82 (2005)].
4.  L.D. Akulenko, S.A. Kumakshev, Yu.G. Markov, and L.V. Rykhlova, "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)].
5.  L.D. 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. Akad. Nauk. Mekh. Tv. Tela, No. 6, 6-29 (2012) [Mech. Sol. (Engl. Transl.) 47 (6), 601-621 (2012)].
6.  Permanent Service for Mean Sea Level (http://www.psmsl.org/).
7.  N.S. Sidorenkov, Physics of the Earth's Rotation Instabilities (Nauka, Moscow, 2002) [in Russian].
8.  D.Pugh and P.Woodworth, Sea-Level Science (Cambridge Univ. Press, Cambridge, 2014).
9.  V.V. Perepelkin, "Fluctuations of Pole Oscillations of Deformable Earth under Nonstationary Perturbations," Izv. Akad. Nauk. Mekh. Tv. Tela, No. 6, 44-51 (2016) [Mech. Sol. (Engl. Transl.) 51 (6), 654-659 (2016)].
10.  Yu.N. Avsyuk, Tidal Forces and Natural Processes (OIFZ RAN, Moscow, 1996) [in Russian].
11.  L.D. Akulenko, D.M. Klimov, 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)].
12.  V.V. Vityazev, Wavelet Analysis of Time Series (St.-Petersburg Univ., St.-Petersburg, 2001) [in Russian].
13.  W.P.O' Connor, B.F. Chao, D. Zheng, and Y.Au. Andrew, "Wind Stress Forcing of the North Sea `Pole Tide'," Geophys. J. Int. 142, 620-630 (2000).
Received 01 August 2018
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