Nonlinear mechanism for polar motion with period of 7 months |
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Authors: | W-J Wang |
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Institution: | (1) Laboratory of Geophysical Dynamics, Institute of Geodesy and Geophysics, Chinese Academy of Sciences, 174 Xudong Road, Wuhan, 430077 China, e-mail: wwj@asch.whigg.ac.cn; Tel./Fax: +86-27-86783841, CN |
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Abstract: | The 7 month-period (sub-Chandler) wobble is considered with respect to the nonlinear dynamical equation of polar motion.
Starting with the frequency modulation of Chandler wobble (CW) in the model developed by introduction of damping from perturbed
visco-elastic deformation, the rotation equation of the CW becomes a resonance model with a time-dependent parameter. According
to evolution calculation, the parameter resonance model is essentially identical to the reality of CW observations. If the
frequency of CW is modulated about 3 by visco-elastic deformation, then the amplitude of CW will be modulated by greater than 70. On the other hand, bifurcation may occur according to the nonlinear dynamical system of the parameter resonance model, i.e.
a pair of solutions splitting from the main CW. One is the 7-month-period wobble and the other is a motion with a period of
about 28 months. Although the latter is very weak, the 7-month-period wobble will be observed as the stability condition is
satisfied. The maximum amplitude is about 22.89 mas and the average 12.65 mas. This is identical to what is observed in reality.
Received: 7 April 2000 / Accepted: 5 March 2001 |
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Keywords: | : Chandler Wobble (CW) – 7-Month-Period Wobble (sub-Chandler Wobble) – Parameter Resonance Model – Bifurcation |
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