V.Yu. Belashov a , E.S. Belashova b∗∗ , O.A. Kharshiladze c∗∗∗

Kazan Federal University, Kazan, 420008 Russia

Kazan National Research Technical University named after A.N. Tupolev, Kazan, 420111 Russia

Ivane Javakhishvili Tbilisi State University, Tbilisi, 0179 Georgia

E-mail: vybelashov@yahoo.com, ∗∗bel_lena@mail.ru, ∗∗∗o.kharshiladze@mail.ru

Received November 11, 2019

Full text PDF

DOI: 10.26907/2541-7746.2020.4.467-480

For citation: Belashov V.Yu., Belashova E.S., Kharshiladze O.A. Long-period nutational-precessional motions of the instantaneous Earth rotation pole. Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 2020, vol. 162, no. 4, pp. 467–480. doi: 10.26907/2541-7746.2020.4.467-480. (In Russian)

 

Abstract

The influence of the rotational regime on real long-period nutational-precessional motions of the instantaneous pole of the Earth’s rotation is considered. The solar magnetospheric (through changes in the angular velocity of rotation) mechanism of action is discussed. The ob- served 12-month oscillations of the instantaneous axis of rotation are explained by the influence of the deforming force arising when the angular velocity changes, which causes deformation of the figure that is not uniform in the longitudinal zones, without involving baric-circulation processes as an intermediate link. Thus, free (Chandler) and forced 12-month fluctuations of the pole position are considered from a single point of view, i.e., as resulting from the variabi- lity of the rotational regime of the Earth. The analysis of heliogeophysical data for 1900–2017 confirms the validity of the proposed relationship mechanism.

Keywords: Earth rotation, nutation, precession, instantaneous pole of rotation, Earth figure deformation, pole position fluctuations, free oscillations, forced oscillations, solar mag- netospheric control

Acknowledgments. The work is performed according to the Russian Government Pro- gram of Competitive Growth of Kazan Federal University and supported by the Shota Rustaveli National Science Foundation (project no. FR17 252).

References

  1. Eigenson M.S. On solar control of the rotational motion of the Earth. Inf. Byull. Orgkom. MGG Prezidiume Akad. Nauk Ukr. SSR, 1958, no. 1. 16 p. (In Russian)
  2. Maksimov I.V. Geofizicheskie sily i vody okeana [Geophysical Forces and Ocean Waters]. Leningrad, Gidrometeoizdat, 1970. 448 p. (In Russian)
  3. Belashov V.Yu. Dlinnoperiodnye nutatsionno-pretsessionnye dvizheniya mgnovennogo polyusa vrashcheniya Zemli: Preprint [Long-Periodical Nutation-Precession Movements of the Instant Pole of Rotation of the Earth: Preprint]. Magadan, SVKNII DVNTs AN SSSR, 1985. 19 p. (In Russian)
  4. Belashov V.Yu., Belashova E.S., Kharshiladze O.A. Changes in the Earth’s rotational velocity and figure deformation associated with them. Uchenye Zapiski Kazanskogo Uni- versiteta. Seriya Fiziko-Matematicheskie Nauki, 2020, vol. 162, no. 1, pp. 66–76. doi: 10.26907/2541-7746.2020.4.66-76. (In Russian)
  5. Belashov V.Yu. O vliyanii magnetosfernoi vozmushchennosti na rotatsionnyi regim Zemli: Preprint [On the Influence of Magnetosphere Disturbance on the Rotational Regime of the Earth: Preprint]. Magadan, SVKNII DVNTS Akad. Nauk SSSR, 1984. 17 p. (In Rus- sian)
  6. Belashov V.Yu., Nasyrov I.A., Gordeev R.S. On the problem of the influence of the magne- tosphere disturbance onto the rotational regime of the Earth. Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 2018, vol. 160, no. 4, pp. 617–630. (In Russian)
  7. Maksimov I.V. On some geographical displays of the eleven-years cycle of the solar acti- vity. Izv. Akad. Nauk SSSR. Ser. Geogr., 1954, no. 1, pp. 135–138. (In Russian)
  8. Kulikov K.A. Izmenyaemost’ shirot i dolgot [Variability of Latitudes and Longitudes]. Moscow, Fizmatizdat, 1962. 400 p. (In Russian)
  9. Stovas M.V. Mathematical analysis of tectonic processes caused by changes in the figure of the Earth. Extended Abstract of Doct. Phys.-Math. Sci. Diss. Leningrad, 1961. 24 p. (In Russian)
  10. Mel’khior P. Fizika i dinamika planet [Physics and Dynamics of the Planets]. Moscow, Mir, Pt. 1, 1975: 575 p.; Pt. 2, 1976: 483 p. (In Russian)
  11. Bursa M. The variations in J2 and in the moments of inertia: Satellite results and consequences for the angular momentum budget of the Earth–Moon–Sun system. In: Brosche P., Sundermann J. (Eds.) Earth’s Rotation from Eons to Days. Berlin, Springer-Verlag, 1990, pp. 52–57.
  12. Vitinskii Yu.I. Tsyklichnost’ i prognozy solnechnoi aktivnosti [Cycles and Forecasts of Solar Activity]. Leningrad, Nauka, 1973. 257 p. (In Russian)
  13. Sunspot Number. Available at: http://sidc.oma.be/silso/datafiles/.
  14. Ol’ A.I. The indices of the Earth magnetic field disturbance and their helio-geophysical importance. Tr. Arkt. Antarkt. Nauchno-Issled. Inst., 1969, vol. 289, pp. 5–21. (In Rus- sian)
  15. Space Weather Prediction Center. Available at: http://www.swpc.noaa.gov/products/ planetary-k-index/.
  16. H¨opfner J. Low-frequency variations, Chandler and annual wobbles of polar mo- tion as observed over one century. Surv. Geophys., 2004, vol. 25, pp. 1–54. doi: 10.1023/B:GEOP.0000015345.88410.36.
  17. Sidorenkov N.S. Nonuniformities in the Earth’s rotation from astronomical observations during 1955.5–1965.0. Sov. Astron., 1967, vol. 11, no. 3, pp. 516–525.
  18. Sidorenkov N.S. The influence of atmospheric circulation on the Earth’s rotational velo- city, 1956.8–1964.8. Sov. Astron., 1969, vol. 12, no. 4, pp. 706–714.
  19. Sidorenkov N.S. Methods for estimating the influence of atmospheric circulation on the Earth’s rotational velocity. Sov. Astron., 1968, vol. 12, no. 2, pp. 303–308.
  20. Sidorenkov V.N. Nonuniformities in the Earth’s rotation from astronomical observations during 1965.0–1968.0. Sov. Astron., 1969, vol. 13, no. 1, pp. 166–168.
  21. Sidorenkov N.S. Nonuniformities in the Earth’s rotation from astronomical observations during 1968.0–1971.0. Sov. Astron., 1972, vol. 15, no. 6, pp. 1039–1041.
  22. Sidorenkov N.S. Nonuniformities in the Earth’s rotation from astronomical observations during 1971.0-1974.5. Sov. Astron., 1976, vol. 19, no. 5, pp. 665–667.
  23. Brouwer D. A study of the changes in the rate of rotation of the Earth. Astron. J., 1952, vol. 57, no. 5, pp. 125–146.

 

The content is available under the license Creative Commons Attribution 4.0 License.