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1.
地球动力学扁率及其与岁差章动的关系   总被引:5,自引:0,他引:5  
夏一飞 《天文学进展》2000,18(4):283-292
由岁差常数求得的日月岁差是天文学的重要参数之一,它和地球动力学扁率相联系。地球动力学扁率在章动理论的计算中也是一个重要的物理量。介绍了由不同的观测方法和模型给出的地球动力扁率值,并讨论了它也岁差的关系和对章动计算的影响。在刚体地球章动振幅的计算中,地球动力学扁率值起着尺度因子的作用,要改善刚体地球章动振幅的计算,需要修改目前的黄经总岁差值。非刚体地球章动的转换函数中所采用的简正模和常数都直接或间接地依赖地球动力学扁率值。在IAU1980章动理论中,计算刚体地球章动振幅所使用的地球动力学扁率值计算转换函数中简正模频率和常数所使用的地球动力学扁率值并不一致。随着观测和计算精度的提高,地球动力学扁率值的不一致将影响章动振幅的计算。在建立刚体地球章地动理论中,如何解释地球动力学扁率值的差异,如何选取地球动力学扁率值,还有待进一步的研究。  相似文献   

2.
刚体地球章动理论   总被引:1,自引:0,他引:1  
黄天衣 《天文学进展》1996,14(2):114-120
介绍和比较最新的刚体地球章动理论,重点评述可能成为未来IAU章动系列基础的KS90理论,它考虑了力学因素,采用的历表和常数系统,对现行K77理论的改进,同时也指出了KS90应作了微小修正。  相似文献   

3.
夏一飞  萧耐园 《天文学报》2000,41(3):300-305
讨论了非刚体地球受迫章动奥波策项与简正模表达式中倾斜模的关系。结果表明天球历书极章动中倾斜振项对应于角动量极的章动,在球历书极章动与角动量极的章动奥波策项之和。同时还给出了岁差速率与自转极的章动奥波策项间的数学关系。  相似文献   

4.
刚体地球章动序列和非刚体地球章动的转换函数都和地球动力学扁率有关。IAU1980章动理论中采用了一个不一致的地球动力学扁率值,从而影响了章动振幅的计算。本文介绍了章动序列计算中地球动力学扁率的取值。由地球模型1066A或PREM得到的地球动力学扁率值比由岁差观测得到的约小1%,并且不可靠。当考虑体静力学平衡被破坏时新的地球物理模型,可得到与岁差常数相一致的地球动力学扁率值。地球动力学扁率值H=0.  相似文献   

5.
夏一飞  成灼 《天文学报》1997,38(4):359-369
本文利用Hamilton方法研究弹性地球自转运动,采用地球模型PREM参数,给出了形状轴的章动序列.结果表明我们的方法是可行的,计算是可靠的.弹性地幔对地球章动的影响仅在毫角秒量级上,它相对液核对地球竟动的影响要小得多.  相似文献   

6.
关于天球参考报   总被引:2,自引:0,他引:2  
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。  相似文献   

7.
章动与极移 地球的自转实质上是地球作为一个天体绕质心作“定点转动”,地球又与它的卫星月球一起绕太阳公转,绕地月的共同质心作旋转运动。因为地一月系统的质心在地球本体内,故使地球自转轴的方向既在空间变化,又在地球的本体内变化;空间变化表现为“章动”和“岁差”;本体变化表现为地极的迁移(如周年极移、钱德勒摆动等)。举例来说,  相似文献   

8.
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。  相似文献   

9.
火星是类地行星,火星动力学的研究不仅具有科学意义,而且还具有实际应用价值。火星的空间探测获得了许多有关火星极运动的重要资料,它与理论值的比较是检验火星内部结构的重要手段,也是为改进火星岁差章动理论提供依据的有效途径。介绍了当前国际上有关火星的岁差和章动研究的进展,分别对刚体火星的章动序列、火星内部结构参数化模型的建立和火星自转的简正模作了描述,并进行了简单的讨论。  相似文献   

10.
在研究地球章动或潮汐理论时,常常需要对均匀自转、微椭、弹性、自引力的地球的运动方程组积分,并通过选取一组恰当的边界条件来定解。在阶扁率近似下,先将椭球形参考边界上一个有关形变的连续量转化到等效球面上,然后作广义面球谐函数展开进行标量化,并分解为球形与环形部分,截断后可导出3个标量常微分形式的边界条件。  相似文献   

11.
This paper presents the reflections of the Working Group of which the tasks were to examine the non-rigid Earth nutation theory. To this aim, six different levels have been identified: Level 1 concerns the input model (giving profiles of the Earth's density and theological properties) for the calculation of the Earth's transfer function of Level 2; Level 2 concerns the integration inside the Earth in order to obtain the Earth's transfer function for the nutations at different frequencies; Level 3 concerns the rigid Earth nutations; Level 4 examines the convolution (products in the frequency domain) between the Earth's nutation transfer function obtained in Level 2, and the rigid Earth nutation (obtained in Level 3). This is for an Earth without ocean and atmosphere; Level 5 concerns the effects of the atmosphere and the oceans on the precession, obliquity rate, and nutations; Level 6 concerns the comparison with the VLBI observations, of the theoretical results obtained in Level 4, corrected for the effects obtained in Level 5.Each level is discussed at the state of the art of the developments.  相似文献   

12.
基于经典的弹性地球自转动力学理论,建立了极移和章动的联合动力学方程。由此给出了弹性地球各种几何轴和物理轴(Tisserand轴、自转轴、瞬时形状轴、角动量轴、CEP和CIP轴)的极移、岁差章动的动力学方程,明确了各种轴的定义及其之间的理论关系。理论研究表明,联合动力学方程要比经典动力学方程综合性强易于理解,可同时求解极移和章动,特别是在文[1]理论中出现的倾斜模(TOM),在此只是作为了一个特解而存在。  相似文献   

13.
黄乘利 《天文学进展》1997,15(4):293-302
对各种章动理论所采用方法(天体力学的方法,地球物理方法和实测的经验方法)和章动序列进行了简要介绍,对近年来有关的理论和观测的进展,特别是自由核章动,进行了评述,并指出其中存在的一些问题。  相似文献   

14.
Hamiltonian mechanics is applied to the problem of the rotation of the elastic Earth. We first show the process for the formulation of the Hamiltonian for rotation of a deformable body and the derivation of the equations of motion from it. Then, based on a simple model of deformation, the solution is given for the period of Euler motion, UT1 and the nutation of the elastic Earth. In particular it is shown that the elasticity of the Earth acts on the nutation so as to decrease the Oppolzer terms of the nutation of the rigid Earth by about 30 per cent. The solution is in good agreement with results which have been obtained by other, different approaches.  相似文献   

15.
The Earth’s rotation is accompanied by free circadian oscillations of its liquid core in the inner cavity of the lower mantle, which perturb the angular momentum of the entire Earth and produce an additional free nutation of the celestial pole called free core nutation (FCN). Since this nutation causes resonances in the diurnal tides and in the expansions of luni—solar nutation, its study, especially an improvement of the FCN period, is of fundamental importance for the theory of the Earth’s rotation. We have determined the FCN parameters from a joint analysis of equidistant series of coordinates of the celestial pole obtained from the combined processing of VLBI observations on global networks of stations for the interval 1984.0–2008.4 by IERS (International Earth Rotation and Reference System Service, Paris, France) and NEOS (National Earth Orientation Service, Washington, USA). Applying a moving least-squares filter (MLSF) to these data has shown that the FCN period averaged over this time interval differs significantly from the theoretical one and its phase varies over a wide range. Using the mean quadratic collocation (MQC) method, we have obtained a new, more accurate stochastic FCN model. Its analysis by the envelope method has revealed long-term linear phase trends, calling into question not only the adopted FCN period but also its stability and, hence, the stability of the resonant effects in the Earth’s luni—solar nutation.  相似文献   

16.
Effects of an interaction between the mantle and the core of the Earth on its rotational motion are investigated. Assuming that the Earth consists of a rigid mantle and a rigid core with a frictional coupling and a kind of inertial coupling between them, the equations of motion are derived, and they are solved in a close approximation. The solution gives the expressions for the precession, the nutation, the secular changes in the obliquity and the rotational speed, the polar motion and so on as functions of the magnitudes of these forces. A numerical estimation shows that the effect of the friction on the amplitude and phase of the nutation is small for a reasonable intensity of the friction while inertial coupling force has a decisive influence on the amplitude, and an appropriately chosen value of the latter force gives a nutation which closely agrees with observations. It is also indicated that this torque remarkably lessens the rates of the secular changes in the obliquity and the rotational speed. The possibility of a periodical change in the amplitude of the polar motion is suggested as a result of the interaction between the two consituents.  相似文献   

17.
We calculate the so-called convective term, which shows up in the expression for the angular velocity of the elastic Earth, within the Andoyer formalism. The term emerges due to the fact that the elasticity-caused perturbation depends not only on the instantaneous orientation of the Earth but also on its instantaneous angular velocity. We demonstrate that this term makes a considerable contribution into the overall angular velocity. At the same time the convective term turns out to be automatically included into the correction to the nutation series due to the elasticity, if the series is defined by the perturbation of the figure axis (and not of the rotational axis) in accordance with the current IAU resolution. Hence it is not necessary to take the effect of the convective term into consideration in the perturbation of the elastic Earth as far as the nutation is related to the motion of the figure axis.  相似文献   

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