The probabilistic analysis of the ocean angular momentum data were obtained 01.01.1980–27.03.2003

Category: 13-2
I.Ya. Tsurkis, M.S. Kuchay


UDC 550.34.01



I.Ya. Tsurkis(1), M.S. Kuchay(2)


(1) Schmidt Institute of Physics of the Earth, Russian Academy of Sciences, Moscow, Russia

(2) Geophysical Survey of Russian Academy of Sciences, Moscow, Russia



The approach based on the calculation of the Wiener – Loiville spectrum of two-dimensional signal is used. The temporal rows of perturbation functions of the ocean obtained by the International Earth Rotation Service from 01.01.1980 to 27.03.2003 (IERS, are analyzed. It is shown, that one can interprets the oceanic perturbation as a stationary anisotropic random process characterized by the correlation time τcor<100 day. The share of Chandler Wobble, enforced by this perturbation is appreciated. The atmospheric and oceanic deposits in the Chandler Wobble initiation are compared.

Keywords: polar motion, Wiener – Loiville scalar product and spectrum, anisotropic Markov process, constant of anisotropy.



Arato, M., Kolmogorov, A.N., and Sinai, Ya.G., On Estimation of the Parameters of the Complex Stationary Gaussian Markov Process, Dokl. Akad. Nauk SSSR, 1962, vol. 146, no. 4, pp. 13–17

Barnes, R., Hide, R., White, A., and Wilson, C., Atmospheric angular momentum fluctuations, length-of-day changes and polar motion, Proc. R. Soc. London, Ser. A, 1983, vol. 387, no. 1792, pp. 31–73.

Gross, R., Fukumori, I., Menemenlis, D., Atmospheric and oceanic excitation of the Earth’s wobbles during 1980–2000, J. Geophys. Res., 2003, vol. 108, no. B8, p. 2370, doi:10.1029/2002JB002143 J. Geophys. Res. 2003, vol. 108(B8)

Gross, R., The excitation of the Chandler wobble, Geophys. Res. Let., 2000, vol. 27, no. 15, pp. 2329–2332.

Kolmogorov, A.N. and Fomin, S.V., Elementy teorii funktsii I funktsional’nogo analiza (Elements of theory of functions and functional analysis), Moscow: Nauka, 1976.

Munk, W.H. and MacDonald, G.J.F., The rotation of the Earth h: A Geophysical Discussion, C, Cambridge: Cambridge Univ. Press, 1960.

Tsurkis, I.Ya. and Spiridonov, E.A. On the Applicability of the Mathematical Apparatus of Markovian Processes to the Description of the Chandler Wobble, Izv. Phys. Earth, 2009, vol. 45, no. 4, pp. 273–286

Tsurkis, I.Ya., Kuchai, M.S., and Spiridonov, E.A. Probabilistic analysis of the data on atmospheric angular momentum for January 1, 1980 to March 27, 2003, Izv. Phys. Earth, 2012, vol. 48, no. 4, pp. 339–353