Abstract
In this paper we develop an unconventional approach to investigations of possible stochastic phenomena in the rotational motions of celestial bodies. The approach is based on special equations of the rotational motion, which represent a three-dimensional nonlinear system of differential equations with random parameters.
Similar content being viewed by others
REFERENCES
Mank, N. and Makdonal'd, G., Vrashchenie Zemli (Rotation of the Earth), Moscow: Mir, 1964.
Moritz H. and Mueller A. Vrashchenie Zemli: teoriya i nablyudeniya (Rotation of the Earth: Theory and Observations), Kiev: Naukova Dumka, 1992.
IERS Annual Reports, 1990, July 1991-1999, July 2000, Central Bureau IERS Observ., Paris.
Akulenko, L.D., Kumakshev, S.A., and Markov, Yu.G., Modeling the Motion of the Pole of a Deformable Earth, Dokl. Ross. Akad. Nauk, 2001, vol. 379, no. 2, pp. 191–195.
Akulenko, L.D., Kumakshev, S.A., and Markov, Yu.G., Motion of the Pole of the Earth, Dokl. Ross. Akad. Nauk, 2002, vol. 382, no. 2, pp. 199–205.
Pugachev, V.S. and Sinitsyn, I.N., Stokhasticheskie differentsial'nye sistemy: Analiz i fil'tratsiya (Stochastic Differential Systems: Analysis and Filtering), Moscow: Nauka, 1990.
Pugachev, V.S. and Sinitsyn, I.N., Teoriya stokhasticheskikh sistem (Theory of Stochastic Systems), Moscow: Logos, 2000.
Markov, Yu.G. and Sinitsyn, I.N., A Stochastic Model of Motion for the Pole of a Deformable Earth, Dokl. Ross. Akad. Nauk, 2002, vol. 382 (in press).
Sinitsyn, I.N., Steady-State Fluctuations of a Solid Body with a Fixed Point in Non-Gaussian Random Medium, Dokl. Ross. Akad. Nauk, 1996, vol. 348, no. 3, pp. 327–330
Pugachev, V.S., Teoriya veroyatnostei i matematicheskaya statistika (Theory of Probability and Mathematical Statistics), Moscow: Nauka, 1979.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Markov, Y.G., Sinitsin, I.N. Stochastic Correlation Models for the Motion of the Pole of the Deformable Earth. Cosmic Research 42, 72–78 (2004). https://doi.org/10.1023/B:COSM.0000017564.52495.d6
Issue Date:
DOI: https://doi.org/10.1023/B:COSM.0000017564.52495.d6