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随机运动激发Chandler摆动的研究
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摘要
本文介绍了地球自转动力学理论,以及Chandler摆动激发的研究进展。人
    们对Chandler摆动的激发已做了许多的研究,考虑了各种各样的激发源,如大
    气、海洋和水的运动及质量分布等,以及地震,核墁耦合等地球物理现象。可
    是问题始终没有一个完美的答案。
     本文主要从随机理论出发,考虑激发源是一种随机运动,利用随机数据的
    统计分析方法研究了Chandler摆动的激发问题。首先利用SPACE98数据,去
    掉其趋势项、周年项后,得到主要含Chandler项的激发序列;对此序列做了平
    稳性、周期性、正态性分析,结果表明:Chandler摆动激发序列可以认为是一
    种平稳随机噪声。对NCEP大气角动量、海洋角动量序列分别作了同样的分析,
    结果表明:大气角动量、海洋角动量序列具有与极移激发序列相似的统计特性。
    由此可以初步推断,大气、海洋中随机成份可以激发Chandler摆动。同时,从
    量级上看,二者共同作用可激发约72%-76%的Chandler摆动观测值。
     本文另外一部分工作是理论分析和数值模拟。理论分析表明:周期性强迫
    运动只能激发与其周期相一致的极移运动,随机运动是Chandler摆动最主要的
    激发源。基于随机激发假设,本文建立了一个Chandler摆动随机激发模型,由
    此用白噪声随机过程作为随机激发源,模拟了Chandler摆动,其清晰地展现出
    了观测出的Chandler摆动的两个重要定性特征:振幅变化不规则和不单调衰减。
    另一方面,通过实测大气和海洋角动量序列(去掉主要规则变化),计算模拟
    了Chandler摆动,同样也展示了上述Chandler摆动两个主要特征。但因模拟过
    程中初值选取问题本文没有合理解决与实测大气和海洋角动量序列时间长度有
    
    
    限,本文目前难以给出与观测充全相符的模拟结果。
     在上述基础上,本文也指出了有待进一步研究的问题:如不同随机激发过程
    与Chandler摆动的关系,大气和海洋中随机过程的严格确认和提取以及随机过
    程与观测误差的关系等。本文是对Chandler摆动激发问题研究的一个新尝试!
The dynamical theory of the Earth rotation and the progress on excitation of the
     Chandler wobble are introduced. For the Chandler wobble, a lot of researches have
     been done, especially for its excitation, many kinds of effects have been taken into
     account such as the atmosphere, ocean, continental water, even seismic, core-mantle
     coupling and so on.. But its exciting mechanism is still an open problem.
    
     Considering that the Chandler Wobble is a result of the excitation of stochastic
     motions, we analyse its dynamics by means of statistical methods. First, the trend,
     annual and semi-annual terms are removed by the least-square fitter from the
     SPACE98 time series which describes the polar motion of the Earth, the main
     component in the resulted new series is the Chandler Wobble. Then, for the new
     series, the corresponding stationary, periodic and random examinations are made for
     the new series. The results show that the Chandler Wobble may be regarded as a
     stationary stochastic process. The same thing is carried out for the NECP atmosphere
     and ocean angular momenta. The results also show that the two angular momenta
     have the same statistical characteristic as the Chandler Wobble. It can be concluded
    
    
    
     that the stochastic component in atmosphere and ocean may excite the Chandler
     Wobble, and the exciting quantity is about 72-76%.
    
     The theoretical analysis and numerical simulation for the Chandler wobble is the
     other work of this paper. The theoretical analysis shows that periodic forcing only
     excites the polar motion with the corresponding period, and stochastic motion is one
     exciting source with the best probability for the Chandler Wobble. Assuming that
     stochastic motion excites the Chandler Wobble, we construct a numerical simulation
     model for the dynamics of the Chandler Wobble. Based on the stochasticaLly exciting
     model, we simulate the dynamical process of the Chandler Wobble by using white
     noise as the exciting source. It shows clearly the two main characters of the Chandler
     Wobble amplitude: irregular and non-monotonous variation. On the other hand, using
     the NCEP atmosphere and ocean angular momenta (removed the components of
     regular variation) as the exciting source, we can simulate the Chandler Wobble. The
     result indicates that the simulated Chandler wobble seems to be the same as the
     observational one in the aspect of the above two main characteristics. But their
     specific magnitude and shape are very different due to the difficulty to determine one
     correct initial value in simulation and the length limitation of the NCEP atmosphere
     and ocean angular momenta.
    
     Finally, we point out some questions which need to study further in the future,
     such as the relation between various stochastic process and the Chandler wobble, how
     to separate the stochastic motions from the atmosphere and ocean, the relationship
     between the separated stochastic motion and observation error and so on. Whatever,
     the work of this paper is a new test for the investigation of the Chandler Wobble
    
    
    
    dynamics.
引文
(1) Barnes, R.T.H., R-Hide, AA. White, and C.A.Wilson, Atmospheric angular momentum functions, length-of-day changes and polar motion, Proc.R.Soc.Lond., 1983,A387, 31-73.
    (2) Buffa, F. Poma A., On the Chandler periodicity, ASP Conference Series, 2000, Vol.208.
    (3) Carter, M.S., Seth Carlo Chandler JR.:The Discovery of Variation of Latitude, ASP Conference Series,2000, Vol. 208 .
    (4) Celaya, Michael A., Climate-driven polar motion, JGR,1999, Vol. 104,12813-12829.
    (5) Chao, B.F., Interannual Lenghth-of-Day Variation with Relation to the Southern Oscillation/El Nino, Geophys.Res.Let., 1984,Vol.11, 541-544.
    (6) Chao, B.F. and William P. O'Connor, Snow Load Effect on the Earth's Rotation and Gravitational Field, 1979-1985, JGR,1987, Vol 92, 9415-9422.
    (7) Chao, B.F., and A.YAu, Atmospheric Excitation of the Earth's Annual Wobble: 1980-1988, J.Geophys.Res.,1991,Vol. 96, 6577-6582,1991.
    (8) Chao, B.F., Excitation of Earth's polar motion by atmospheric angular momentum variations,1980-1990, GRL,Vol,20,No.2,253-256.
    (9) Cheh Pan, Angular Momentum perturbation, polar excitation and axial near-symmetry, GJI., 1999,Vol.l37,139-148.
    (10) David Salstein, Atmospheric Excitation of Polar Motion, ASP Conference,Series, 2000,Vol.208.
    (11) Dickman, S.R., Investigation of controversial polar motion features using homogeneous ILS data, J.Geophys.Res.,1981,Vol. 86,4904-4912.
    (12) Dickman, S.R., Determination of oceanic dynamic barometer corrections to
    
    atmospheric excitation of Earth rotation, JGR, 1998,Vol. 103,15127-15134.
    (13) Dickman, S.R., Tectonic and Cryospheric Excitation of the Chandler wobble and A Brief of the Secular Motion of Earth's Rotation Pole, ASP Conference Series, 2000,Vol. 208.
    (14) Dickman, S.R., Dynamic ocean-tide effects on earth's rotation, GeophysJ.Int., 1993,Vol.112, 448-470.
    (15) Douglas, B.C., Global Sea Level Rise, J.Geophys.Res., 96, 6981-6992, 1991. Enfield, D.B., El Nino, Past and Present, Rev.Geophys.,1989,Vol. 27,159-187.
    (16) Eubanks, T.M., J.A.Steppe, andJ.O.Dickey, The Atmospheric Excitation of Rapid Polar Motions, in The Earth's Rotation and Reference Frames for Geodesy and Geodynamics, Babcock and Wilkins, eds., Kluwer, Dordrecht, 1988, 365-371,
    (17) Ferrandiz, J. M., Nature and Properties of the Chandler Motion and Mechanism of its Damping and Excitation. ASP Conference Series, 2000,Vol.208.
    (18) Gross, R.S., Chao B.F., Excitation study of the LAGEOS-Derived Chandler Wobble, JGR, 1985,Vol.,90, 9369-9380.
    (19) Gross, R.S., The Eddects of Ocean Tides on the Earth's Rotations Predicted by the Results of an Ocean Tide Model, Geophys.Res.Lett.,1990,Vol. 17,1009-1012.
    (20) Gross, R.S., The excitation of the Chandler wobble, GRL, 2000,VOL.27, NO. 15, p2329-2332.
    (21) Gross, R.S., Combinations of Earth orientation measurements: SPACE97, COMB97, and POLE97, J.G.R., 2000
    (22) Gross, R.S., Chao, B.F., Desai, S.D., Effect of long-period ocean tides on the Earth's polar motion, Pro. Oceanog.1997, Vol. 40,p.385-397.
    (23) Hide, R., Interaction between the Earth's Liquid Core and Solid Mantle, Narure,1969, Vol.222,1055-1056.
    
    
    (24) John Kuehne Stuart Johnson and Clark R.Wilson, Atmospheric Excitation of Nonseasonal Polar Motion, JGR,1993, Vol.9819973-19978.
    (25) John Kuehne and Clark R. Wilson , Terrestrial Water Storage and Motion, JGR, 1991,Vol. 96, 4337-4345.
    (26) John Kuehne and Clark R.Wilson , Estimates of the Chandler wobble frequency and Q, JGR, 1996,Vol. 10113573-13579.
    (27) Jolanta Nastula, Regional Signals in Atmospheric and oceanic Excitation of Polar Motion, ASP Conference Series, 2000,Vol. 208.
    (28) King, N.E., and D.C.Agnew, How Large is the Retrograde Annual Wobble? Geophys.Res.Lett., 1991,Vol,18,1735-1738.
    (29) Kuehne, J,, and C.R. Wilson, Terrestrial water storage and polar motion, J.Geophys.Res., 1991,Vol.96,4337-4345.
    (30) Kuehne, J, and C.R,Wilson, A.Trupin, and J.Wahr, Long Period Sea Level Water Storage and Polar Motion Fluctuations Since 1900, Geophys.Res.Lett., 1992.
    (31) Lambeck, K., and P.Hopgood, The Earth's rotation and atmospheric circulation from 1963 to 1973, Geophys, J.R.astr.Soc., 1981,Vol.64, 67-89.
    (32) Lambeck, K., The Earth's Variable Rotation, Cambridge University Press, Cambridge, 1980.
    (33) Laura Alfonsi, Antonio Piersanti, Giorgio Spada, Did the 1977 Sumba earthquake excite the Chandler wobble? Earth and Planetary Science Letters,1997,Vol. 153,287-292.
    (34) N. S. Sidorenkov, Excitation of the Chandler Wobble, polar motion: Historical and Scientific Problems ASP Conference Series,2000,Vol.208.
    (35) Madden, RA., Large Intraseasonal Variations in Wind Stress Over the Tropical Pacific. J.Geophys.Res., 93,5333-5340,1988. Balance, Nature,1992,Vol. 357, 482-
    
    484.
    (36) Masato furuya and Yozo Hamano, Quasi-periodic wind signal as a possible excitation of Chandler Wobble, JGR,1996, Vol. 101, NO. Bll, 25,537-25546.
    (37) M. Furuya and B. F. Chao, Estimate of period and Q of the Chandler Wobble, GJI, 1996,Vol.127, 693-702.
    (38) Munk, W.H., and MacDonald, G.J.F., The rotation of the Earth, Cambridge University Press, 1960
    (39) Peltier, W.R., and A.M.Tushigham, Influence of Glacial Isostatic Adjustment on Tide Gauge Measurements of Secular Sea Level Change, GeophysJ.Res., 1991,Vol.96, 6779-6796.
    (40) Rui M. Ponte, Role of ocean currents and bottom pressure variability on seasonal polar motion, JGR,1999, Vol. 104, c10, 23393-23409.
    (41) Runcorn, S.K., et al, The Excitation of the Chandler Wobble, Surv.Geophys.,1990,Vol 9, 419-449.
    (42) Sidorenkov, N.S., Excitation of the Chandler Wobble, ASP Conference Series,2000, Vol.208.
    (43) Tersuo SASAO, Isao Okamoto, and Satoshi Sakai, Dissipative Core-Mantle Coupling and Nutational Motion of the Earth, Publ. Astro. Soc. Japan 1977,Vol.29, 83-105.
    (44) Trupin, A.S., and J.M.Wahr, Spectroscopic analysis of global tide gauge sea level data, Geophys.J.Int., 1992,Vol.108,1-15.
    (45) Vondrak, J., Long-Period behavior of polar motion between 1900. 0 and 1984. 0, Ann.Geophys., 1985,Vol.3, 351-356.
    (46) Vondrak, J., Atmospheric and groundwater excitation of polar motion in case of variable Chandler frequency, Bull.Astron.Inst. Czechosl.,1990,Vol. 41, 211-220.
    
    
    (47) William P.O'connor,Benjamin Fong Chao, Dawei Zheng and Andrew YAu,Wind forcing of the North Sea 'pole tide',GJI,2000,Vol.l42,620-630.
    (48) Wilson, C.R., and R.A.Haubrich, Meteorological Excitation of the Earth's Wobble, Geophys.J.R.astr.Soc., 1976,Vol.46, 707-743.
    (49) Wilson,C.R, Discrete polar motion equations, Geophys. J . R. astr. Soc.l985,Vol. 80, 551-554.
    (50) Wilson C.R., Lectures on Earth Rotation Problems
    (51) Wilson, C.R., and R.O.Vicente, An analysis of the homogeneous ILS polar motion series, Geophys.J.R.astr.Soc.,1980,Vol. 62, 605-616.
    (52) Wilson, C.R., Excitation of Polar Motion, Asp Conference Series,2000, Vol. 208.
    (53) Wu, P., and W.R.Peltier, Pleistocene deglaciation and the Earth's Rotation: a new analysis, Geophys.J.R.astr.Soc., 1984,Vol.76, 753-791.
    (54) Yaozhong Zhu and Buxi Gao , Dissipation and Ellipticity of the Chandler Wobble, ASP Cofference Series, 2000,Vol. 208.
    (55) Yatskiv, Ya. S., Chandler motion observations, ASP Conference Series, 2000,Vol. 208.
    (56) 贝达特,J.S.,皮尔索,A.G.,随机数据分析方法,国防工业出版社,1976
    (57) 陈剑利,全球水分布对极移的激发--综述与基本理论,天文学进展,1993,11 卷,4期.
    (58) 丁月蓉,郑大伟,天文测量数据的处理方法,南京大学出版社,1990
    (59) 董大南, 谱分析发测Chandler摆动Q值模拟实验及讨论, 上海天文台年 刊,6,1984
    (60) 董大南,Chandler摆动Q值的测定,天文学报,1986,Vol.27,1.
    
    
    (61) 高布锡,天文地球动力学原理,科学出版社,1997
    (62) 高布锡,钱德勒摆动和周年极移参数从历元1965到1985的逐年变化,天 文学报,1990,31卷,3期.
    (63) 郭俊义,物理大地测量学基础,武汉测绘科技大学出版社,1994
    (64) 兰伯克,地球自转的变化,北京:地震出版社。1980
    (65) 雷小平,高布锡,水分布激发与周年极移,天文学报,1992,33卷,1期.
    (66) 宋国玄,郑大伟,罗时芳,地球自转与ENSO事件的动力学分析,天文学 报,1989,Vol.30,No.3.
    (67) 盛骤,谢式千,潘承义,概率论与数理统计,高等教育出版社,1995
    (68) 吴守贤,华英敏,王叔和,在极移的Chandler分量上的调制现象,中国科 学,7,1981
    (69) 夏一飞,黄天衣,球面天文学,1995
    (70) 张承志,夏一飞,天体测量学,高等教育出版社,1986
    (71) 章潜五,随机信号分析,西安电子科技大学出版社,1990
    (72) 郑大伟,地球自转与大气、海洋活动,天文学进展,1988,4,316-328
    (73) 郑大伟,罗时芳,宋国玄,地球自转年际变化、ElNino事件和大气角动量, 中国科学(B辑),1988,No.3.
    (74) 郑大伟,虞南华,地球自转及其和地球物理现象的联系:Ⅱ地极运动,地 球物理学进展,1996,Vol.11,No.3,70-81.
    (75) 郑大伟,周永宏,NAO与地极运动的十年尺度变化,天文学报,1997,Vol.38, No.2.
    (76) 郑大伟,周永宏,地球自转变化与全球地震活动关系的研究,1995,vol.17,No.1.
    
    
    (77) 周永宏,郑大伟,地极运动与北大西洋涛动,科学通报,1997,Vol.42,No.1.
    (78) 周永宏,郑大伟,虞南华,吴宏秋,大气和海洋对周年极移的激发,1999,44 卷,15期.

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