Skip to main content
SpringerLink
Log in

A Model for the polar motion of the deformable Earth adequate for astrometric data

  • Published:
Astronomy Reports Aims and scope Submit manuscript

Abstract

Refined analytical expressions for the frequencies corresponding to the Chandler motion of the pole and the diurnal rotation of the deformable Earth are derived. Numerical estimates of the period and amplitude of the polar oscillations are presented. The trajectory of the Chandler polar motion derived via numerical modeling is in qualitative and quantitative agreement with experimental data from the International Earth Rotation Service (IERS). An evolutionary model describing slow variations in the Earth’s rotation parameters under the action of the dissipative moments of the tidal gravitational forces on time scales considerably longer than the precession period of the Earth’s axis is constructed. The axis of the Earth’s figure tends to approach the angular momentum vector of the proper rotation.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. H. Moritz and I. I. Mueller, Earth Rotation: Theory and Observation (Ungar, New York, 1987; Naukova Dumka, Kiev, 1992).

    Google Scholar 

  2. W. Munk and G. Macdonald, The Rotation of the Earth (Cambridge Univ. Press, Cambridge, 1960; Mir, Moscow, 1964).

    Google Scholar 

  3. Yu. N. Avsyuk, Tidal Forces and Natural Processes [in Russian] (Ob”ed. Inst. Fiz. Zemli Ross. Akad. Nauk, Moscow, 1996).

    Google Scholar 

  4. G. S. Kurbasova and L. V. Rykhlova, Astron. Zh. 72, 945 (1995) [Astron. Rep. 39, 845 (1995)].

    ADS  Google Scholar 

  5. Yu. G. Markov and I. S. Minyaev, Kosm. Issled. 32(6), 89 (1994).

    Google Scholar 

  6. L. I. Konkina, Yu. G. Markov, A. M. Mikisha, and L. V. Rykhlova, Dokl. Akad. Nauk 375, 619 (2000) [Dokl. Phys. 45, 672 (2000)].

    Google Scholar 

  7. IERS Annual Reports 1990, July 1991 to 1997, July 1998. Central Bureau of IERS.

  8. A. A. Il’yushin, Mechanics o f Continuous Media [in Russian] (Mosk. Gos. Univ., Moscow, 1990).

    Google Scholar 

  9. F. L. Chernous’ko, Izv. Akad. Nauk SSSR, Mekh. Tverd. Tela, No. 1, 22 (1980).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute for Problems in Mechanics, Russian Academy of Sciences, pr. Vernadskogo 101, Moscow, 117526, Russia

    L. D. Akulenko & S. A. Kumakshev

  2. Moscow Institute of Aviation, Volokolamskoe sh. 4, Moscow, 125080, Russia

    Yu. G. Markov

  3. Institute of Astronomy, Russian Academy of Sciences, Pyatnitskaya ul. 48, Moscow, 109017, Russia

    L. V. Rykhlova

Authors
  1. L. D. Akulenko
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. S. A. Kumakshev
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Yu. G. Markov
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. L. V. Rykhlova
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

__________

Translated from Astronomicheski\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Zhurnal, Vol. 79, No. 1, 2002, pp. 81–89.

Original Russian Text Copyright © 2002 by Akulenko, Kumakshev, Markov, Rykhlova.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Akulenko, L.D., Kumakshev, S.A., Markov, Y.G. et al. A Model for the polar motion of the deformable Earth adequate for astrometric data. Astron. Rep. 46, 74–82 (2002). https://doi.org/10.1134/1.1436207

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1134/1.1436207

Keywords

Search

Navigation