Revisiting Recent Amplitude and Phase Variations of the Chandler Wobble and Free Core Nutation

Zinovy Malkin

Pulkovo Observatory, St. Petersburg, 196140, Russia

DOI: https://doi.org/10.36956/eps.v2i2.873

Received: 6 June 2023; Revised: 5 July 2023; Accepted: 18 July 2023; Published Online: 26 July 2023

Copyright © 2023 Author(s). Published by Nan Yang Academy of Sciences Pte. Ltd.

Creative Commons LicenseThis is an open access article under the Creative Commons Attribution-NonCommercial 4.0 International (CC BY-NC 4.0) License.


Abstract

The paper is devoted to the analysis of two components of the Earth’s rotation, Chandler wobble (CW) and free core nutation (FCN). They are oscillations with near-constant periods but variable amplitude and phase. The variations of the amplitude and phase of the CW and FCN have already been considered in the literature, and both showed similar behavior such as a recent significant decrease of the amplitude and large phase change. However, the CW and FCN amplitude and phase variations are, to a large extent, predicted for the current epochs, and their today’s variations need regular updates with obtaining new observations. In this work, the CW and FCN parameters have been re-computed using the latest data and compared with the data published earlier. It was found that the currently obtained amplitude and phase variations generally agreed with the data published earlier. The main difference is that the epochs of the current minimum of amplitude and phase jump or both CW and FCN happened somewhat later than was predicted in previous publications. The delay is about two years for the CW relative to the prediction made in 2010 and about one year for the FCN with respect to the prediction made in 2022.

Keywords: Earth’s rotation; Chandler wobble; Free core nutation; Amplitude; Phase variations


References

[1] Petit, G., Luzum, B., 2010. IERS Technical Note No. 36. Verlag des Bundesamts für Kartographie und Geodäsie: Frankfurt am Main, Germany.

[2] Chandler, S.C., 1891. On the variation of the latitude, I. Astronomical Journal. 11, 59-61.

[3] Chandler, S.C., 1891. On the variation of the latitude, II. Astronomical Journal. 11, 65-70.

[4] Malkin, Z., Miller, N., 2010. Chandler wobble: Two more large phase jumps revealed. Earth, Planets and Space. 62, 943-947. DOI: https://doi.org/10.5047/eps.2010.11.002

[5] Miller, N.O., 2011. Chandler wobble in variations of the Pulkovo latitude for 170 years. Solar System Research. 45, 342-353. DOI: https://doi.org/10.1134/S0038094611040058

[6] Chao, B.F., Chung, W.Y., 2012. Amplitude and phase variations of Earth’s Chandler wobble under continual excitation. Journal of Geodynamics. 62, 35-39. DOI: https://doi.org/10.1016/j.jog.2011.11.009

[7] Zotov, L., Bizouard, C., 2012. On modulations of the Chandler wobble excitation. Journal of Geodynamics. 62, 30-34. DOI: https://doi.org/10.1016/j.jog.2012.03.010

[8] Vondrák, J., Ron, C., Chapanov, Y., 2017. New determination of period and quality factor of Chandler wobble, considering geophysical excitations. Advances in Space Research. 59(5), 1395-1407. DOI: https://doi.org/10.1016/j.asr.2016.12.001

[9] Zotov, L.V., Sidorenkov, N.S., Bizouard, C., 2022. Anomalies of the chandler wobble in 2010s. Moscow University Physics Bulletin. 77(3), 555-563. DOI: https://doi.org/10.3103/S0027134922030134

[10] Chen, W., Chen, Y., Ray, J., et al., 2023. Free decay and excitation of the chandler wobble: Self-consistent estimates of the period and quality factor. Journal of Geodesy. 97(4), 36. DOI: https://doi.org/10.1007/s00190-023-01727-z

[11] Dehant, V., Mathews, P.M., 2015. Precession, nutation and wobble of the earth. Cambridge University Press: Cambridge, UK.

[12] Malkin, Z., Terentev, D., 2003. Parameters of the free core nutation from VLBI data. Communications of the IAA RAS. 149. DOI: https://doi.org/10.48550/arXiv.physics/0702152

[13] Gubanov, V.S., 2009. Dynamics of the Earth’s core from VLBI observations. Astronomy Letters. 35, 270-277. DOI: https://doi.org/10.1134/S1063773709040070

[14] Malkin, Z., 2013. Free core nutation and geomagnetic jerks. Journal of Geodynamics. 72, 53-58. DOI: https://doi.org/10.1016/j.jog.2013.06.001

[15] Belda, S., Ferrándiz, J.M., Heinkelmann, R., et al., 2016. Testing a new free core nutation empirical model. Journal of Geodynamics. 94, 59-67. DOI: https://doi.org/10.1016/j.jog.2016.02.002

[16] Vondrák, J., Ron, C., 2017. New method for determining free core nutation parameters, considering geophysical effects. Astronomy & Astrophysics. 604(A&A), A56. DOI: https://doi.org/10.1051/0004-6361/201730635

[17] Cui, X., Sun, H., Xu, J., et al., 2020. Relationship between free core nutation and geomagnetic jerks. Journal of Geodesy. 94(4), 1-13. DOI: https://doi.org/10.1007/s00190-020-01367-7

[18] Malkin, Z., Belda, S., Modiri, S., 2022. Detection of a new large free core nutation phase jump. Sensors. 22(16), 5960. DOI: https://doi.org/10.3390/s22165960

[19] Malkin, Z.M., 2020. Statistical analysis of the results of 20 years of activity of the international VLBI service for geodesy and astrometry. Astronomy Reports. 64, 168-188. DOI: https://doi.org/10.1134/S1063772920020043