地球自转变化的重力效应

极移对重力测量的影响在前人的研究和工作中已得到了充分的考虑并有不同形式的改正公式。但是由于地轴转动速率变化的重力效应的量级很小,且限于以前的测量精度以及资料处理方法,因而常常被忽略。随着着重力测量精度的提高以及资料处理方法的改进,有必要重新讨论该影响。本文从推导地球瞬时自转极运动对地面台站重力测量值影响的公式入手,将地球自转角速率变化的重力效应和极移的重力效应分离来来,并对它们的量级分别作了估计。     

极移的地震激发研究

本文采用Harvard目录中1977－1994年间的地震有关参数，及Dahlen计算的地震引起地球惯量矩的变化有关公式，得到由地震引起的极移要比观测值小2个量级．单个地震引起的极漂移呈现随机特性，但它的累积效应却表现出长期的变化，地震引起激发极的运动方向趋向于130—150°E，它与观测极漂移的方向相反．本文这一分析结果将随着观测技术的不断改进及观测精度的提高而得到证实．当考虑地球液核效应时，地震也可能对地球液核自由章动产生影响．我们的分析表明，大地震的这一影响与VLBI检测出的结果相比较，它在观测精度以下．     

国内天文地球动力学中的潮汐研究

简要说明了天文地球动力学范畴内所研究的潮汐现象，包括由日月引潮力引起的固体潮、海洋潮、大气潮和由于地球自转轴的极移引起的极潮，以及这些潮汐对地球自转和地球自转的测量产生的效应。重点阐述中国天文学界在这一领域里的研究成果。这些研究涉及潮汐影响地球自转的机制，也就是各种潮汐效应与极移、自转速率变化和章动的关系，包括构建这类关系的理论模型，分析潮汐对它们的影响，利用中国古代丰富的天象记录计算地球自转的长期减慢，计算弹性或滞弹地球的洛夫数，依据某一地球模型计算潮汐效应或章动序列等等。研究也涉及在测量地球自转参数的不同技术中各种潮汐效应对测量结果产生的影响及其改正，并涉及与潮汐有关的观测方法的优化和数据处理过程的改进。最后介绍了中国学者所发现的脉冲星的周期和周期变率测量中的潮汐效应，尽管它们的量级甚微，但不容忽视。     

地震引起地球自转速率变化的分析

由地震引起地球内部质量重新分布将影响地球惯量量矩的变化，从而引起地球自转速率的变化，即日长的变化。一般说，大地震产生大的附加位移违抗和。它对地球自转特性有影响。本文采用Ｈａｒｖａｒｄ目录中１９７７－１９９４年产的地震有关参数，和根据地震激发地球自转的变化理论及Ｄａｈｌｅｒ和Ｌａｍｂｅｃｋ有关公式计算了地震引起地球辆向惯量矩的变化。结果表明：由单个地震引起的日长变化要比观测值小几个量级，它的累积效应     

全球大地震对ERP的影响

本探讨了1900－1986年间全球大地震和ERP之间的相关性。利用震中位置和震源参数，按Dahlen公式计算了由地震引起的地球惯性张量变化，结果表明单个地震对日长和极移变化的影响要比经典仪器测定的ERP水平小两个量级，空间技术能够获得高精度的ERP，使得有可能用来进行ERP与地震关系的研究。     

基于混沌时间序列的Volterra自适应滤波极移预报方法

针对极移复杂的时变特性, 根据混沌相空间坐标延迟重构理论, 提出一种基于Volterra自适应滤波的极移预报方法. 首先, 利用最小二乘拟合算法分离极移序列中的线性趋势项、钱德勒项和周年项, 获得线性极移、钱德勒极移和周年极移的外推值; 其次, 通过C-C关联积分法对最小二乘拟合残差序列进行相空间重构, 并利用小数据量法计算残差序列的最大Lyapunov指数验证其混沌特性, 在此基础上, 构建Volterra自适应滤波器对残差序列进行预测; 最后, 将线性极移、钱德勒极移和周年极移的外推值以及最小二乘拟合残差的预测值相加获得极移最终预报值. 利用国际地球自转服务局(International Earth Rotation and Reference Systems Service, IERS)提供的极移数据进行1--60d跨度预报, 并将预报结果分别与国际地球定向参数预报比较竞赛(Earth Orientation Parameters Prediction Comparison Campaign, EOP PCC)结果和IERS A公报发布的极移预报产品进行对比, 结果表明: 对于1--30d的短期预报, 该方法的预报精度与EOP PCC最优预报方法相当, 当预报跨度超过30d时, 该方法的预报精度低于EOP PCC最优预报方法, 优于参与EOP PCC的其他方法; 与IERS A公报相比, 该方法的短期预报效果较好, 当预报跨度增加时预报精度低于IERS A公报. 预报结果表明该方法更适合于极移短期预报.     

地震引起地球自转速率变化的分析

由地震引起地球内部质量重新分布将影响地球惯量矩的变化，从而引起地球自转速率的变化，即日长的变化。一般说，大地震产生大的附加位移场。它对地球自转特性有较强的影响。本文采用Ｈａｒｖａｒｄ目录中１９７７－１９９４年间的地震有关参数，和根据地震激发地球自转的变化理论及Ｄａｈｌｅｎ和Ｌａｍ－ｂｅｃｋ推出有关公式计算了地震引起地球轴向惯量矩的变化。结果表明：由单个地震引起的日长变化要比观测值小几个量级，它的累积效应表现出长期的变化即日长减小，就是地震活动加速地球自转。地震使地球自转能量随时间稳定地增加。并表明，虽地震活动影响日长，但它不是十年尺度变化的主要原因，它可能是地球自转非潮汐加速机制之一     

天体测量中的地球自转形变改正

本文讨论了弹性地球在自转离心力作用下的形变效应。由此引起的垂线偏离小于0.″001量级,在经典天体测量中可以忽略。测站位移达厘米级,地球引力位二阶电谐系数的修正为10~(-10)量级;这些影响在激光侧卫中应予考虑。     

关于天球参考报

章动序列计算和地球定向参数测定需要一个中间的天球参考极作参照，1984年，采用IAU1980章动理论，选取天球历书极作为参考极，利用改善岁差章动模型和由天文测地新技术确定地球定向参数实现的天球历书极，其精度可达0．1mas，随着理论和观测精度的提高，在微角秒量级下，章动和极移模型中周日和半周日成分分应被考虑，地球定向参数的高频成分已被测定，因此天球历书极的原先定义不再适用，需要更改，叙述了不同天球参考极的概念，天球历书极的定义，评述了天球历书极目前实现及其缺陷，介绍了新的天球参考极－天球中间极的定义及其实现。     

极移序列系统差的探讨

利用上海天的SHORDE1软件对约3年左右9MJD49001.1-MJD50109.6)的全球SLR资料进行了归算,并将所得的极移序列和相应历元的国际地球自转服务中心（IERS）给出的极移序列作了比较,分析结果表明,上海天台基于SLR资料的极移序列与IERS极移序列之间存在一定程度的系统偏差,该系统差具有明显的周期性,周期约为427天,振幅为1mas左右。     

Effects of differential rotation on the gravitational figures of Jupiter and Saturn

It is assumed that observed zonal currents in the atmospheres of Jupiter and Saturn correspond to a state of permanent rotation, and that the angular velocity is constant on cylindrical surfaces parallel to the rotation axis. The equation of hydrostatic equilibrium for a rotating planet is solved under these restrictive assumptions, and the effect of the hypothesized rotation state on the planet's gravity harmonics and external shape is investigated. Spacecraft data on zonal currents are used to derive nearly model-independent corrections to the first four zonal gravity harmonic coefficients, which can be used to correct observed gravity harmonics to values appropriate for solid-body rotation. If the assumed rotation state is applicable, then zonal currents lead to measurable topography of isopycnic surfaces with respect to the reference fihure defined by the magnetospheric rotation period and the gravity harmonics. The amplitude of the topography is on the order of 5 km for Jupiter and 60 km for Saturn.     

The rotation of magnetic loop systems in the solar atmosphere

Eclipse photographs indicate that large regions of the inner solar corona are confined in various types of closed magnetic configurations and, as a result, do not participate in the general solar wind expansion. In this paper, the rotation of initially poloidal loop configurations of this type, as influenced by differential rotation of the footpoints, is investigated. The analysis is restricted to axially symmetric fields and it is assumed that the toroidal magnetic field induced by differential rotation is small as compared to the initial poloidal field. This restricts the validity of the analysis to times less than about one month.The most interesting physical situation is that of flux tubes existing in one solar hemisphere only, one end of the tube being fixed in the photosphere at a higher latitude than the other. As a consequence, the lower end of the tube rotates at a faster rate than the upper end. Solution of the pertinent equations reveals that the angular velocity measured along a field line increases monotonically from its value at the poleward footpoint to that at the lower footpoint. The variation of angular velocity along the field depends upon the field geometry only and is not directly related to the variation of angular velocity along the solar surface between the footpoints. Depending upon the field configuration, both outward radial increases and decreases are possible. Using the Newton and Nunn model for the surface differential rotation rate, the angular velocity distribution on two particularly simple types of closed magnetic loop systems is determined analytically. It is shown that the angular velocity increases outward in the polar regions but decreases outward near the equator - leading to a decrease in differential rotation with height.The National Center for Atmospheric Research is sponsored by the National Science Foundation.     

Rotation broadening of spectral features from star spots

This paper presents an extension of the method of the characteristic points by Kjurkchieva (1987, 1989). This method for the analysis of light curves of spotted stars is further developed by including spectral information. Expressions describing the variation of the rotation broadening of spectral features arising from a star spot are derived for a known spot configuration. The results are used in the solution of the inverse problem by the method of the characteristic points. It is shown that the rotation broadening of spectral features from star spots can be used to easily determine the angular size and the polar distance of a circular spot. It turns out that the equatorial velocity and radius of the spotted star can be obtained in some cases by the combined analysis of the photometric and spectral data.     

大气对地球自转参数（ERP）的高频激发

本文采用１９８３—１９９２年期间由空间大地测量技术观测和归算的地球自转参数（ＥＲＰ）序列，以及由全球气象资料归算的大气角动量（ＡＡＭ）序列，分析和研究了大气对地球自转参数的日长变化（ＬＯＤ）和极移（ｘ和ｙ）在一个月时间尺度以内的高频激发作用，得到的主要结果如下：１大气对ＬＯＤ分量高频潮汐的估计值存在着影响，但是，潮汐形变参数ｋ／ｃ随时间和频率的变化却是受非大气因素的扰动引起的．２．大气可以解释３０天以下ＬＯＤ非潮汐的大部分变化．３．极移分量３０天以内的高频变化也主要由大气激发．ｘ分量与大气的相关性要强于ｙ分量，而且更为稳定，主要表现为平均时间尺度约为２７天的波动，大气对这个波动的贡献可达７０％．     

Vortical mechanism for generation of astrophysical jets

A vortical mechanism for generation of astrophysical jets is proposed based on exact solutions of the hydrodynamic equations with a generalized Rankine vortex. It is shown that the development of a Rankine vortex in the polar layer of a rotating gravitating body creates longitudinal fluxes of matter that converge toward the vortex trunk, providing an exponential growth in the angular rotation velocity of the trunk and a pressure drop on its axis. The increased rotational velocity of the vortex trunk and the on-axis pressure drop cease when the discontinuity in the azimuthal velocity at the surface of the trunk reaches the sound speed. During this time, ever deeper layers of the gravitating body are brought into the vortical motion, while the longitudinal velocity of the flow along the vortex trunk builds up, producing jet outflows of mass from its surface. The resulting vortices are essentially dissipationless. Dedicated to the 100-th birthday of Academician V. A. Ambartsumyan __________ Translated from Astrofizika, Vol. 51, No. 2, pp. 201–218 (May 2008).     

On the angular momentum in star formation

We discuss the rotation of interstellar clouds which are in a stage immediately before star formation. Cloud collisions seem to be the principal cause of the observed rotation of interstellar clouds. The rotational motion of the clouds is strongly influenced by turbulence.Theories dealing with the resolution of the angular momentum problem in star formation are classified into five major groups. We develop the old idea that the angular momentum of an interstellar cloud passes during star formation into the angular momentum of double star systems and/or circumstellar clouds.It is suggested that a rotating gas cloud contracts into a ring-like structure which fragments into self-gravitating subcondensations. By collisions and gas accretion these subcondensations accrete into binary systems surrounded by circumstellar clouds. Using some rough approximations we find analytical expressions for the semi-major axis of the binary system and for the density of the circumstellar clouds as a function of the initial density and of the initial angular velocity of an interstellar cloud. The obtained values are well within the observational limits.     

Convection in a rotating deep compressible spherical shell: Application to the Sun

In this paper we study the interaction of rotation with convection in a deep compressible spherical shell as the Sun's convection zone. We examine how the energy transport and the large scale motions can be affected by rotation. In particular we study how a large scale meridional circulation can give rise to variations of angular velocity with latitude and depth.It is assumed that the energy transport is only due to convection and that the mixing-length theory gives an adequate representation of it. Furthermore we assume that rotation acts as a perturbation of the turbulent convective flux through its transport coefficient.The equations involved in the model are integrated numerically in the limit of large viscosity and slow rotation. After having expanded all physical quantities to the first order in terms of Legendre polynomials, the fitting with the observed solar differential rotation gives the expansion parameter, which represents the coupling constant between rotation and convection.The results show a three-cell circulation extending from the poles to the equator. The first one is located in the lower half of the convection zone with the fluid rising at the equator and sinking at the poles. In the second one the direction of the motion is reversed while the third one, located in a thin upper layer, shows the same characteristics of the first one. The meridional velocities at the surface are directed towards the poles and are about 20 cm s^-1. In the other cells the meridional velocities are typically of a few cm s^-1 while the radial velocities are of the order of a few tenths of cm s^-1.The heat flux relative variation at the surface is about 10^-4 (3 × 10^-3 at the bottom) with a polar excess. The temperature variation at the surface is of the same order, with an equatorial excess however. The convection seems to be stabilized stronger at the equator. The angular velocity increases inwards and varies about 6% between the surface and the bottom of the convection zone.An attempt is made for explaining the picture which emerges. In particular the negligible flux and temperature variations at the surface are explained in terms of equalization by the particular structure of the latitudinal flow. This configuration of large scale circulation is attributed to the high stratification of the convection zone with depth.     

Contribution of the atmosphere to the seasonal changes in earth's rotation

Using new data of atmospheric angular momentum for the period 1975–1995, the contributions of the atmosphere to the changes in LCD and polar motion on the seasonal time scale are investigated. The results show that, when the effects of wind and atmospheric pressure are considered, the atmosphere's contribution on the annual and semi-annual time scales may reach, respectively, 95% and 88%. We also give some quantitative results of the atmosphere's excitation of polar motion. On the annual time scale, the contribution to the X-component of polar motion is 16% and that to the Y-component is 43%. On the semi-annual time scale, the contributions to the X- and Y-components are, respectively, 9% and 30%. From the above results, it is clear that the contribution of the ocean should also be included in a more complete solution of the problem of excitation of the earth's rotation.     

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．     

Dynamical instability of laminar axisymmetric flows of ideal compressible fluid

The instability of axisymmetric flows of inviscid compressible fluid with respect to two-dimensional infinitesimal perturbations with the nonconservation of angular momentum is investigated by numerically integrating the differential equations of hydrodynamics. The compressibility is taken into account for a homentropic flow with an adiabatic index varying over a wide range. The problem has been solved for two angular velocity profiles of an initial axisymmetric flow. In the first case, a power-law rotation profile with a finite enthalpy gradient at the flow edges has been specified. For this angular velocity profile, we show that the instability of sonic and surface gravity modes in a nearly Keplerian flow, when a radially variable vorticity exists in the main flow, can be explained by the combined action of the Landau mechanism and mode coupling. We also show that including a radially variable vorticity makes the limiting exponent in the rotation law at which the unstable surface gravity modes vanish dependent on the fluid compressibility. In the second case, a Keplerian rotation law with a quasi-sinusoidal deviation has been specified in such a way that the enthalpy gradient vanished at the flow edges. We have found than the sonic modes are then stabilized and the flow is unstable only with respect to the perturbations that also exist in an incompressible fluid.