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Earth Pole Motion Due to Nonstacionary Perturbations

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An Erratum to this article was published on 01 January 2020

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Abstract

A numerical analytical refined model of a short term forecast of the Earth’s pole motion is proposed. The model allows to increase the accuracy of predicting the coordinates of the pole with observed irregular effects in its motion. A numerical simulation of the oscillatory motion of the Earth’s pole is carried out in comparison with the data of observations and measurements of the International Earth Rotation Service, and the accuracy characteristics of the model are investigated.

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Change history

  • 31 August 2020

    erratum

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).

    MATH  Google Scholar 

  3. L.D. Akulenko, S.A. Kumakshev, Yu.G. Markov, and L.V. Rykhlova, “A Gravitational–Tidal Mechanism for the Earth’s Polar Oscillations,” Astr. Zh. 82 (10), 950–960 (2005) [Astr. Rep. (Engl. Transl.)49 (10), 847–857 (2005)].

    Google Scholar 

  4. 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. Ros. Akad. Nauk. Mekh. Tv. Tela, No. 6, 6–29 (2012) [Mech. Sol. (Engl. Transl.) 47 (6), 601–621 (2012)].

    Google Scholar 

  5. 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)].

    Google Scholar 

  6. V. V. Perepelkin, “Oscillatory Processes in the Motion of the Earth’s Pole at the Frequency of the Precession of the Moon’s Orbit,” Izv. Ros. Akad. Nauk. Mekh. Tv. Tela, No. 3, 38–44 (2018) [Mech. Sol. (Engl. Transl.) 53 (3), 271–276 (2018)].

    Google Scholar 

  7. G. E. Mase, Theory and Problem of Continuum Mechanics (McGraw-Hill Book Company, New York, 1970; Librokom, Moscow, 2009).

    Google Scholar 

  8. V.V. Bondarenko, Yu. G. Markov, and I.V. Skorobogatykh, “On the Tendency for Commensurability of Rotations and Mean Motions of Celestial Bodies under a Gravitational Tide Impact,” Astr. Vestn., 32 (4), 340–351 (1998).

    Google Scholar 

  9. http://www2.csr.utexas.edu/grace/.

  10. N. E. Egarmin, “Influence of Elastic Strains on the Tensor of Inertia of a Solid,” Izv. Akad. Nauk SSSR. Mekh. Tv. Tela, No. 6, 43–48 (1980) [Mech. Solids (Engl. Transl.)].

    Google Scholar 

  11. L. D. Akulenko and V.V. Perepelkin, “Dynamic Analysis of Perturbed Chandler Oscillations of the Earth’s Pole,” Izv. Ros. Akad. Nauk. Mekh. Tv. Tela, No. 6, 4–12 (2018) [Mech. Sol. (Engl. Transl.) 53 (6), 602–609 (2018)].

    Google Scholar 

  12. V. S. Gubanov, Generalized Least Squares Method. Theory and Applications in Astrometry (Nauka, St. Petersburg, 1997) [in Russian].

    MATH  Google Scholar 

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Acknowledgements

This work was carried out as part of the implementation of the basic part of the state task of the Ministry of Education and Science of the Russian Federation (Project 9.7555.2017/BCH).

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Authors and Affiliations

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

    L. D. Akulenko

  2. Moscow Aviation Institute (National Research University, Volokolamskoe sh. 4, Moscow, 125993, Russia

    A. A. Perepelkin

Authors
  1. L. D. Akulenko
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  2. A. A. Perepelkin
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Corresponding author

Correspondence to A. A. Perepelkin.

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Russian Text © The Author(s), 2019, published in Izvestiya Akademii Nauk, Mekhanika Tverdogo Tela, 2019, No. 5, pp. 142–149.

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Akulenko, L.D., Perepelkin, A.A. Earth Pole Motion Due to Nonstacionary Perturbations. Mech. Solids 54, 1108–1114 (2019). https://doi.org/10.3103/S0025654419070112

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  • DOI: https://doi.org/10.3103/S0025654419070112

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