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Variations in the amplitude of the chandler wobble |
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| Authors: | I Ya Tsurkis E A Spiridonov |
| Institution: | (1) The Key Laboratory of Geospace Environment and Geodesy, Ministry of Education, School of Geodesy and Geomatics, Wuhan University, 129 Luoyu Road, 430079 Wuhan, China;(2) GeoForschungsZentrum Potsdam, Section 1.3, Telegrafenberg, A17 14473 Potsdam, Germany;(3) Laboratory for Space Geodesy and Remote Sensing Research, The Ohio State University, 2070 Neil Avenue, Columbus, Ohio 43210-1275, USA |
| Abstract: | It is shown that within the framework of the Kolmogorov model the “energy” of the pole E(t) = x 12 + x 22 can be interpreted as a Markovian process. The exact analytical expression has been obtained for the density of the conditional probability of the quantity E(t) and the problem of the first passage time of the process E(t) has been analyzed. It was shown that the available data on the swing of the function E(t) are not at variance with the Kolmogorov model and a short-period drop of the amplitude of the Chandler wobble in the early 20th century fits this model at Q = 50–200 too; values of Q > 350 are less reasonable. |
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