Chandler摆动周期和Q值对激发函数估计与比较的影响

用 198 4～ 1999年期间的地极坐标序列和两个大气角动量序列 ,分析了不同Chandler周期和品质因子Q的取值对Chandler摆动观测激发的功率谱密度 ,以及观测激发与大气激发之间的相干系数和相干相位的影响。结果表明 ,不同Chandler周期和品质因子Q的取值对观测激发的功率谱密度 ,以及观测激发与大气激发之间的相干系数有很大影响。因此 ,在分析Chandler摆动的观测激发与地球物理激发的关系时 ,不能仅以观测激发与某个地球物理激发序列 (如大气激发 )的更好逼近来选择Chandler摆动的最佳周期 ,因为Chandler摆动是多种地球物理激发共同作用的结果     

Chandler摆动周期和Q值对激发函数估计与比较的影响

用1984-1999年期间的地极坐标序列和两个大气角动量序列。分析了不同Chandler周期和品质因子Q的取值对Chandler摆动周期激发的功率谱密度，以及观测激发与大气激发之间的相干系数和相干相位的影响，结果表明，不同Chandler周期和品质因子Q的取值对观测激发的功率谱密度，以及观测激发与大气激发之间的相干系数有很大影响。因此，在分析Chandler摆动的观测激发与地球物理激发的关系时，不能仅以观测激发与某个地球物理激发序列（如大气激发）的更好逼近来选择Chandler摆动的最佳周期，因为Chandler摆动是多种地球物理激发共同作用的结果。     

研究Chandler摆动的一个随机激发模型

基于同运动激发了Chandler摆动的假设，提出一个研究Chandler摆动的随机非线性模型，它是由一个随机性阶梯函数和一个具有阻尼的线性谐振子的Euler中心差分格式混合而成，研究此模型中各个参数与Chandler摆动振幅的关系，通过对基于实测资料获得的有效大气角动量时间序列的统计分析，初步发现其中含有随机噪声成份，它可以激发目前观测到的Chandler摆动振幅的28－40％，最后，对Chandler摆胡机激发的假设作了一些讨论。     

太平洋、印度洋和大西洋对Chandler摆动的激发，1980-2005

除大气外,海洋对Chandler摆动具有重要的激发作用.利用Estimating the Circulation and Climate of the Ocean(ECCO)的海洋环流模式提供的流速场和洋底压力场资料,首次系统地研究了1980-2005年期间,太平洋、印度洋和大西洋对Chandler摆动激发的贡献.研究表明三大洋对Chandler摆动激发的贡献各不相同.太平洋激发能量约占观测激发能量的22.2%,在三大洋中最高,印度洋约占12.7%,大西洋最低,占7.1%左右.太平洋对Chandler摆动的激发能量可能受1982-1983年强ENSO事件的影响而显著提高.     

水文、大气和海洋对钱德勒摆动的激发

分析计算了由陆地上土壤湿度和积雪水当量变化引起的水文变化对钱德勒摆动的激发作用，并将其和大气、海洋激发一起与天文观测激发作了比较．结果表明，虽然水文激发在钱德勒频带上的激发能量很小，只能解释观测激发的平均能量约10％，但是在大气激发的基础上增加水文变化的激发作用，显著提高了与观测激发的相干系数和置信度水平．因此，水文变化对钱德勒摆动的激发作用是值得重视的激发因素之一．     

地极移动的非线性动力机制

用非线性动力学原理和非线性振动方法,结合Chandler摆动的时间序列反演,证实了Chandler摆动的衰减能量是由周年激发的非线性共振所补充的．由高布锡归算的ILS参数,按共振激发模型反演出的Chandler摆动衰减指数和频率品质因数等结果,符合已有的大量基本结论,反演出的非齐次项的强迫频率基本都在周年频率的周围．非线性共振模型还表明,Chandler频率的不稳定性是由于存在频率转换和漂移,摆动振幅的不稳定性是由于存在共振跳跃,非线性的存在还将引出组合共振频率．同时用推广的最小公倍数证实和频差频的存在,提供了非整数的最小公倍数算法,为数论的非线性推广和在天文中的应用提供了工具．     

地球自转动力学中的两个问题

介绍了地球自动力学中的两个目前正在研究的问题，1．Chandler摆动的随机激发，在分析Chandler摆动各种激发的可能性后，认为随机运动是最可能的激发源，在此基础,提出了一个Chandler摆动激发的动力学模型，并从理论和数值模拟两方面对此模型做了统计分析研究，描述了今后对此问题的研究思路，2．地球内部动力学是目前国际地球动力学界的一个热点研究课题，介绍了它的现状和最近的发展动态以及准备在这方面开展研究工作的打算。     

全球陆地水储量对地球自转变化的激发作用

用美国环境预测中心和美国大气研究中心(NCEP/NCAR)40年重新分析计划气候数据同化系统(CDAS)所得到的全球陆地水储量(土壤湿度和积雪水当量)数据,对地球自转变化(极移和日长)的激发作用作了分析．结果表明,陆地水储量对周年地极移动正频分量的激发为17．8mas,与大气激发相当,相位滞后约48°．其中,积雪水当量的激发结果与用人卫遥感技术所得到的积雪水当量激发的正、负频率分量的振幅和相位都符合得很好． 用陆地水储量数据得到对日长变化周年分量的激发作用约49μs,约占观测激发的15％,相位滞后约23°;对日长变化半年分量的激发作用约9μs,约占观测激发的3％,相位滞后约122°．     

海洋-固体地球耦合系统动力学

固体地球、海洋(以及大气)构成一个动力学整体,它们各自的运动相互牵制,相互激发。近年来,一个新的课题:海洋-固体地球耦合系统动力学,正逐步受到人们的普遍关注。借助这种耦合系统的动力学理论,有可能解释极潮观测与理论之间的不一致,探讨Chandler摆动的耗散机制,进一步可估计出液核对地幔摆动的耗散量级。 本文总结了耦合系统研究的最新进展,介绍了各种耦合理论的内容,对这一课题中所存在的问题也进行了讨论。     

大气和极移的高频变化比较

采用从1988－1999年的现代技术测定的高精度极移序列EOP（IERS97C04）推导出激发函数χ^m）和美国国家环境预测中心和美国国家大气研究中心（CNEP／NCAR）提供的大气角动量激发函数χp和χib^p，使用几种数据分析方法，分析了大气对极移高频振荡（12－42cpy)激发贡献，复数小波变换和功率谱分析表明，χ^m和χ^p序列在高频段内呈现比较强的谱峰，它们具有相似的谱特征，比较而言，χib^p在这个频率段内比χ^p要弱些，χ^m和χ^p之间的相关系数分别为0．75（逆向）和0．6（顺向），两个序列之间的平方相关谱的估计值分别在0．5－0．9之间（负频）和0．4－0．6（正频），相位谱表明χ^p(AAM)超前x^m一天左右，这些大气是极移高频变化的主要激发源，特别是在逆向运动上具有更大的贡献，由于它们之间位相差和振幅变化的不稳定性，说明可能存在AAM以外的其他激发源，这个问题有待进一步深入研究。χ     

Excitation of Chandler Wobble by Pacific,Indian and Atlantic Oceans from 1980 to 2005

In addition to the atmosphere, the oceans play important roles in the excitation of the Chandler wobble. The contributions made by the Pacific Ocean, the Indian Ocean and the Atlantic Ocean from 1980 to 2005 to the excitation of the Chandler wobble are first and systematically researched by taking advantage of the data of the current velocity field and ocean floor pressure provided by the marine circulation model of the Estimating the Circulation and Climate of the Ocean (ECCO). Studies show that the contributions of the three oceans to the excitation of the Chandler wobble are different from one another: the excitation energy of the Pacific Ocean makes up about 22.2% of the observational excitation energy, the largest one among the three oceans, that of the Indian Ocean accounts for about 12.7% and that of the Atlantic Ocean amounts to about 7.1%, the smallest among the three great oceans. The remarkable increase in the excitation energy of the Chandler wobble by the Pacific Ocean may be possibly due to the effect of the strong ENSO event which occurred from 1982 to 1983.     

极移和激发的研究

极称可分为长期极移，钱德勒摆动（CW），周年极移（AN），不规则极移和短周期极移，由于极移运动对不同频率的激发响应是不同的，采用反卷积方法将极移序列进行了分析，对各类极移运动与激发的关系作了对比研究，认为周年极移与激发是逐年不同的，若能将它们逐年进行比较，将会对气象模型提供更好的约束条件，不规则极移可能反映了地球上较大规模的异常气象现象。     

On the Chandler wobble. I. Theory

This paper introduces the idea that there exists a nutation separation layer in the superficial zone of the Earth, thereby sets up a new model of nutation. The equations of motion are derived and solved. It is proved that the separation layer is “soft”, and is probably located at a depth of 300 km from the surface. Its allowable minimum thickness is less than 1 km and its viscosity is on the order of 10₁₀ poise, like pitch at 15 °C. The results show that the main peak of the Chandler wobble (CW) is double, one being the nutational frequency of the inner main body, the other , the outer component. The beat between the two frequencies produces the 40-yr period in the amplitude of the CW. The two amplitudes interact so they do not differ greatly in size, their approximate ratio being 1 to 0.7. The famous amplitude-period relation of the CW is a direct result of this paper. The sudden changes in the polar trace and the 180° phase change in 1924–1926 are essentially the same phenomenon determined by relative changes in the two frequencies. The value of Q for the CW of between 30 and 60 deduced by previous workers from observations is a false Q, the true Q is around 200, in agreement with the value from seismic waves. This paper also predicts that apart from the two main frequencies, there is a series (more than one pair) of secondary frequencies symmetrically located on either side. The time constant of the CW is about 70 yr and it can be approximately maintained by excitation by earthquakes. Its unsmooth motion is one that zigzags about the mean trace.     

大气对极移的非季节性激发贡献

本文对由高精度的极移资（Ｓｐａｃｅ９３序列）所推导出的测地激发函数和由日本气象局（ＪＭＡ）提供的大气激发函数中的非季节性波动进行了研究，在两个序列中都显示出较强的４０－６０天的波动．在非季节性的时间尺度上，测地激发函数相关于大气压力变化，与与的相关系数分别为０．４４和０．５８，这表明了大气角动量对极移中ｙ轴方向的非季节性变化的影响稍大于ｘ轴方向．而且，大气和测地激发函数尤其在Ｘ２方面具有较相似的时间变化谱．这些事实说明：极移的非季节振荡至少部分地由气压变化所引起，它在１４０天以下周期的极移激发中起了一定的作用．     

Two-photon processes of electron-positron pair production and annihilation. I. Kinematics and cross sections

The kinematics of electron-positron pair production and annihilation, i.e., the determination and transformation of the momenta and energies of particles and photons upon the transition from an arbitrary reference frame to the center-of-mass frame of the particles and back, is analyzed in detail. It is found that the magnitudes of the particle momenta in certain directions in pair production may be ambiguous. An interpretation of this ambiguity and a way of circumventing it are given. Invariant quantities and the most convenient variables for calculating various integrals are found. Then the differential and total cross sections are given and the mean frequencies and dispersions of the frequencies of photons produced during annihilation are calculated. Translated from Astrofizika, Vol. 42, No. 1, pp. 101–116, January–March, 1999.     

Comparative analysis of long-period variations in day duration and solar activity from 1700–2003

A comparative analysis of both long-period deviations in the duration of a day from the standard (86400 s) and solar activity during the years 1700–2003 has been conducted. The comparative analysis was based on the average annual data on LOD (http://hpiers.obspm.fr/eop-pc/) and the number of sunspots W (http://www.wdcb.ru/stp/). The analysis was aimed at studying the evolution of the solar-terrestrial relationship under conditions of insufficient physical data on the origin and interaction of such oscillations in irregular variations in the duration of a day and in parameters characterizing solar activity. The analysis was conducted using three methods, i.e., the periodogram method, the method of exponential data approximation (the Prony method), and the technique of wavelet data transformation. A comparison of the analysis results allows the general conclusion to be drawn that such variations over ～11-yr-long and ～22-yr-long periods are coherent in the data on LOD and W. The amplitude of a squared absolute value of coherence comprises 72% for 11-year and 74% for 22-year variations.     

Asymmetric effects on Earth’s polar motion

Differential equations ruling the Earth’s polar motion are slightly asymmetric with respect to the pole coordinates. This is not only associated with the lack of axial symmetry around the Earth figure axis (triaxiality) but also with the longitude dependency of the pole tide (the main contribution). We propose a consistent handling of both asymmetric contributions, formulating a unique equation in the complex equatorial plane, of which we derive a general solution. Difference with respect to the usual symmetric solution is discussed and found significant in light of the present accuracy of the observed pole coordinates. For the same geophysical excitation, the prograde Chandler wobble is accompanied by a retrograde component up to 2 milliarcseconds (mas), transforming it in a slight elliptic motion. The asymmetric contribution is relatively larger in the geodetic excitation function, for Chandler wobble excitation mixes prograde and retrograde components of comparable level (1 mas).     

大气对地球自转变化的影响-方法和数据的深入分析

大气相对固体地球的运动产生大气相对角动量，它的变化可以激发地球自转多时间尺度的变化．计算大气相对角动量现在采用两种不同的垂直积分高度，一种为从地形表面积分到顶层大气，称之为SP方法；另一种为从1000hPa积分到顶层大气，称之为BP方法，对采用这两种方法所得到的大气相对角动量进行了详细的比较．应用欧洲中距气象预报中心（ECMWF）和美国国家环境预报中心（NCEP）大气再分析数据，重新研究了大气相对角动量变化的时空特征．通过对大气相对角动量季节平均，季节振幅和时空特征的分析，得出ECMWF和NCEP的大气相对角动量变化对地球自转周年极移的影响，在亚洲季风区域和南极洲区域差别最为明显．