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Long-Period Lunar Perturbations in Earth Pole Oscillatory Process: Theory and Observations

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Advances in Theory and Practice of Computational Mechanics

Abstract

In this chapter, the dynamic effects of the Earth pole motion in the celestial-mechanical problem statement as the “deformable Earth–Moon problem in the gravitational field of the Sun” are discussed. The orbits of the Moon and the Earth–Moon barycenter are assumed as known and given ones. Combination harmonics in the Earth pole motion are found and their connection with perturbations caused by the Moon’s orbit precession is shown. Applying a numerical–analytical approach, the additional components of the Earth pole motion model were determined in an explicit form.

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References

  1. International Earth Rotation and Reference Systems Service—IERS Annual Reports, http://www.iers.org. Last accessed 09 Oct 2019

  2. Perepelkin, V.V., Rykhlova, L.V., Filippova, A.S.: Long-period variations in oscillations of the Earth’s pole due to lunar perturbations. Astron. Rep. 63(3), 238–247 (2019)

    Article  Google Scholar 

  3. Markov, YuG, Perepelkin, V.V., Filippova, A.S.: Analysis of the perturbed Chandler wobble of the Earth pole. Dokl. Phys. 62(6), 318–322 (2017)

    Article  Google Scholar 

  4. Akulenko, L.D., Markov, YuG, Rykhlova, L.V.: Motion of the Earth’s poles under the action of gravitational tides in the deformable Earth model. Dokl. Phys. 46(4), 261–263 (2001)

    Article  Google Scholar 

  5. Munk, W.H., MacDonald, G.J.F.: The Rotation of the Earth. Cambridge University Press, New York (1961)

    MATH  Google Scholar 

  6. Sidorenkov, N.S.: The Interaction Between Earth’s Rotation and Geophysical Processes. Wiley-VCH Verlag GmbH and Co. KGaA (2009)

    Google Scholar 

  7. Schubert, G.: Treatise on Geophysics, vol. 3. Elsevier, Geodesy (2007)

    Google Scholar 

  8. Xu, G.: Sciences of Geodesy—I: Advances and Future Directions. Springer, Berlin, Germany (2010)

    Book  Google Scholar 

  9. Kumakshev, S.A.: Gravitational-tidal model of oscillations of Earth’s poles. Mech. Solids 53(2), 159–163 (2018)

    Article  Google Scholar 

  10. Kumakshev, S.A.: Model of oscillations of Earth’s poles based on gravitational tides. In: Karev, V., Klimov, D., Pokazeev, K. (eds.) Physical and Mathematical Modeling of Earth and Environment Processes. PMMEEP, pp. 157–163 (2017)

    Google Scholar 

  11. Klimov, D.M., Akulenko, L.D., Kumakshev, S.A.: The main properties and peculiarities of the Earth’s motion relative to the center of mass. Dokl. Phys. 59(10), 472–475 (2014)

    Article  Google Scholar 

  12. Zlenko, A.A.: A celestial-mechanical model for the tidal evolution of the Earth–Moon system treated as a double planet. Astron. Rep. 59(1), 72–87 (2015)

    Article  Google Scholar 

  13. Zlenko, A.A.: The force function of two rigid celestial bodies in Delaunay–Andoyer variables. Astron. Rep. 60(1), 174–181 (2016)

    Article  Google Scholar 

  14. Bizouard, C., Remus, F., Lambert, S., Seoane, L., Gambis, D.: The Earth’s Variable Chandler Wobble Astronomy and Astrophysics, vol. 526, pp. A106.1–A106.4 (2011)

    Google Scholar 

  15. Zotov, L., Bizouard, C., Shum, C.K.: A possible interrelation between Earth rotation and climatic variability at decadal time-scale. Geodesy Geodyn. 7(3), 216–222 (2016)

    Article  Google Scholar 

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Acknowledgements

This work was carried out within the state task no. 9.7555.2017/BCh.

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Correspondence to Vadim V. Perepelkin .

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Krylov, S.S., Perepelkin, V.V., Filippova, A.S. (2020). Long-Period Lunar Perturbations in Earth Pole Oscillatory Process: Theory and Observations. In: Jain, L., Favorskaya, M., Nikitin, I., Reviznikov, D. (eds) Advances in Theory and Practice of Computational Mechanics. Smart Innovation, Systems and Technologies, vol 173. Springer, Singapore. https://doi.org/10.1007/978-981-15-2600-8_22

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