Mechanics of Solids

, Volume 53, Issue 3, pp 271–276 | Cite as

Oscillatory Processes in the Motion of the Earth’s Pole at the Frequency of the Precession of the Moon’s Orbit

  • V. V. PerepelkinEmail author


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.


Earth pole oscillations Chandler frequency Earth rotation precession of the lunar orbit gravitational-tidal disturbance 


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  1. 1.
    International Earth Rotation and Reference Systems Service–IERS Annual Reports, URL: Scholar
  2. 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).Google Scholar
  3. 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)].Google Scholar
  4. 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)].Google Scholar
  5. 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)].Google Scholar
  6. 6.
    D.M. Klimov, L. D. Akulenko, and S. A. Kumakshev, “The Main Properties and Peculiarities of the EarthТs Motion Relative to the Center ofMass,”Dokl. Ross. Akad. Nauk 458 (5), 547–550 (2014) [Dokl. Phys. (Engl. Transl.) 59 (10), 472–475 (2014)].Google Scholar
  7. 7.
    V. V. Vityazev, Wavelet Analysis of Time Series (SPbSU, St. Petersburg, 2001) [in Russian].Google Scholar

Copyright information

© Allerton Press, Inc. 2018

Authors and Affiliations

  1. 1.Moscow Aviation Institute (National Research University)MoscowRussia

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