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Amplitude—frequency analysis of Chandler oscillations of the Earth’s pole

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Abstract

An approximate nonlinear spectral-correlation model of fluctuations of the amplitude—frequency characteristics of the Chandler self-excited oscillations of the Earth’s pole is considered. The sensitivity of the model parameters to the asymmetry and anisotropy of fluctuation-dissipative moments of forces and to the effect of harmonic gravitation-tidal moments of forces is studied at Chandler frequency and frequencies close to it. The results of analytical and statistical modeling of the stability of the amplitude—frequency characteristics are presented. The influence of fluctuation disturbances of the white noise type on spectral-correlation characteristics of the oscillations is investigated.

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References

  1. IERS Anjual Reports, 2000/2002, Frankfurt am Mein: BKG, 2001/2003.

  2. Munk, W. and Macdonald, G., The Rotation of the Earth, Cambridge, 1960. Translated under the title Vrashchenie Zemli, Moscow: Mir, 1964.

  3. Akulenko, L.D., Kumakshev, S.A., and Markov, Yu.G., A Model of Gravitational Tidal Mechanism for Excitation of Oscillations of the Earth’s Pole, Dokl. Akad. Nauk, 2005, vol. 400, pp. 758–763.

    Google Scholar 

  4. Akulenko, L.D., Kumakshev, S.A., Markov, Yu.G., and Rykhlova, L.V., Gravitational Tidal Mechanism for the Earth’s Pole Oscillations, Astron. Zh., 2005, vol. 82, no. 10, pp. 950–960.

    Google Scholar 

  5. Markov, Yu.G. and Sinitsyn, I.N., Chandler Oscillations of Motion of the Earth’s Pole, Dokl. Akad. Nauk, 2006, vol. 410, no. 4, p. 479.

    MathSciNet  Google Scholar 

  6. Markov, Yu.G. and Sinitsyn, I.N., Fluctuations of Chandler Oscillations of the Earth’s Pole, Dokl. Akad. Nauk, 2006, vol. 409, no. 1, p. 48.

    MathSciNet  Google Scholar 

  7. Markov Yu.G. and Sinitsyn I.N., Spectral-Correlation Model for Fluctuations of Chandler Oscillations of the Earth’s Pole, Astron. Zh., 2006, vol. 83, no. 10, p. 950.

    Google Scholar 

  8. Markov, Yu.G. and Sinitsyn, I.N., Fluctuation-Dissipative Model of Motion of the Pole of the Deformable Earth, Dokl. Akad. Nauk, 2002, vol. 387, no. 4, pp. 482–486.

    MathSciNet  Google Scholar 

  9. Markov, Yu.G. and Sinitsyn, I.N., Spectral-Correlation Models of Fluctuations of Rotational Motion of the Earth, Dokl. Akad. Nauk, 2003, vol. 393, pp. 618–623.

    MathSciNet  Google Scholar 

  10. Markov, Yu.G. and Sinitsyn, I.N., Spectral-Correlation and Kinetic Models of Motion of the Earth, Astron. Zh., 2004, vol. 81, no. 2, pp. 184–192.

    Google Scholar 

  11. Markov, Yu.G., Dasaev, R.R., Perepelkin, V.V., Sinitsyn, I.N., and Sinitsyn, V.I., Stochastic Models of the Earth’s Rotation Taking the Effects of the Moon and Planets into Account, Kosm. Issled., 2005, vol. 43, no. 1, pp. 54–66.

    Google Scholar 

  12. Sinitsyn, I.N., Stochastic Models of Fluctuations in the Earth’s Motion under Conditions of Poissonian Perturbations, in Sistemy i sredstva informatiki: Geoinformatsionnye tekhnologii (Systems and Means of Informatics: Geoinformation Technologies), Moscow: Inst. Problems of Informatics, Russ. Acad. Sci., 2004, pp. 39–55.

    Google Scholar 

  13. Pugachev, V.S. and Sinitsyn, I.N., Teoriya stokhasticheskikh sistem (Theory of Stochastic Systems), Moscow: Logos, 2004.

    Google Scholar 

  14. Bogolyubov, N.N. and Mitropol’skii, Yu.A., Asimptoticheskie metody v teorii nelineinykh kolebanii, Moscow: Nauka, 1974, 4th ed. Translated under the title Asymptotic Methods in the Theory of Nonlinear Oscillations, New York: Gordon and Breach, 1962.

    Google Scholar 

  15. Krasovskii, A.A., Ed., Spravochnik po teorii avtomaticheskogo upravleniya (Handbook on the Theory of Automatic Control), Moscow: Nauka, 1987.

    Google Scholar 

  16. Malakhov, A.N., Fluktuatsii v avtokolebatel’nykh sistemakh (Fluctuations in Self-Sustained Oscillation Systems), Moscow: Fizmatlit, 1968.

    Google Scholar 

  17. Pugachev, V.S. and Sinitsyn, I.N., Stokhasticheskie differentsial’nye sistemy: Analiz i fil’tratsiya (Stochastic Differential Systems: Analysis and Filtering), Moscow: Nauka, 1990.

    MATH  Google Scholar 

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Original Russian Text © Yu.G. Markov, V.V. Perepyolkin, I.N. Sinitsyn, E.R. Korepanov, Hoang Tho Shi, 2007, published in Kosmicheskie Issledovaniya, 2007, Vol. 45, No. 6, pp. 543–552.

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Markov, Y.G., Perepyolkin, V.V., Sinitsyn, I.N. et al. Amplitude—frequency analysis of Chandler oscillations of the Earth’s pole. Cosmic Res 45, 513–522 (2007). https://doi.org/10.1134/S0010952507060081

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  • DOI: https://doi.org/10.1134/S0010952507060081

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