共查询到18条相似文献，搜索用时 747 毫秒
1.
基于岁差章动和极移的理论模型,以及卫星受摄运动的高斯方程,本文研究了岁差章动和极移对开普勒轨道根数的影响.除了定性分析的理论推导外,本文还根据定性理论公式给出了定量的计算分析,从而获得了卫星轨道解析理论中处理岁差章动极移所需要的理论依据.岁差章动对开普勒轨道根数的影响是比摄动力低一阶的,极移的影响是低二阶的.因此对于一阶轨道解析理论,岁差章动和极移的影响全部是二阶的从而可以忽略不计.对于卫星轨道二阶解析理论,仅一阶摄动力需要考虑岁差章动的影响,其余可以全部忽略不计.由于只有地球扁率摄动是一阶的,所以只有地球扁率摄动J_2项需要考虑岁差章动的影响.在定轨时间段小于三天时,岁差章动在这期间的变化量是二阶,所以可以把岁差章动的影响看成是不变的.本文结论对解析定轨具有指导意义. 相似文献
2.
地球固体内核（SIC）和地球其余部分之间的引力和压力的耦合作用引起了一个力矩，从而对地球的章动运动产生影响.由于SIC的转动惯量和整体地球转动惯量相比是非常小的，因此可以认为SIC的动力学效应只是导致一个新的章动本征模，其频率与自由核章动（FCN）相差不太远，且对地球章动产生了一个微弱的共振影响.本文在文献〔1〕理论的基础上，对内核地球自转动力学理论进行了更加深入和详细的研究，顾及到高阶引潮力位的影响，介绍了研究内核地球自转的基本假设和定义，引潮力位的复数球函数表示，复数矢量球函数的基本理论等. 相似文献
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地球固体内核(SIC)和地球其余部分之间的引力和压力的耦合作用引起了一个力矩,从而对地球的章动运动产生影响.由于SIC的转动惯量和整体地球转动惯量相比是非常小的,因此可以认为SIC的动力学效应只是导致一个新的章动本征模,其频率与自由核章动(FCN)相差不太远,且对地球章动产生了一个微弱的共振影响.本文在文献[1]理论的基础上,对内核地球自转动力学理论进行了更加深入和详细的研究,顾及到高阶引潮力位的影响,介绍了研究内核地球自转的基本假设和定义,引潮力位的复数球函数表示,复数矢量球函数的基本理论等. 相似文献
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《地球物理学进展》2015,(6)
高精度天体引潮力计算中需要考虑地球扁率的影响.由DE421历表计算得到太阳系各个天体在GCRS中的坐标,基于天球参考系经典的岁差章动转换方法、IERS 2010规范推荐的转换参数以及IERS发布的EOP 08C04数据模型,在综合考虑影响天体坐标转换的各种因素(框架偏差、岁差、章动、地球自转、时间尺度转换、极移)改正后,得到天体在ITRS中的坐标,并由此计算得到1962年至2015年间地球扁率对各天体引潮力位和引潮力影响的具体数值.计算结果表明:地球扁率对天体引潮力的影响,对月球来说不超过1.8898×10~(-11) ms~(-2)(1.8898 nGal),对太阳来说不超过0.0018×10~(-11) ms_(-2)(0.0018nGal),对其他天体来说可完全忽略不计.地球扁率对月球、太阳引潮力影响的变化周期与相应天体的运行周期一致. 相似文献
7.
本文是序列文章的第六篇,其主要内容包括：讨论了两种章动转换函数表达式以及它们系数之间的关系,指出了前人给出系数值的缺陷,以及某些公式表述的错误;基于内核地球模型的有关参数,利用Mathematica数学分析软件计算了PREM和1066A地球模型在FULL理论、MTIC和FIC近似下的章动本征模频率和章动转换函数的有关系数;计算了内核动力学对受迫章动的影响,结果表明其影响已在目前VLBI可检测的量级内.本文对地球章动转换函数进行了较完整的论述,期望对进一步研究地球自转动力学起重要作用. 相似文献
8.
地球液核旋转产生近周日晃动（NDFW）．利用周日波的液核共振效应解算液核自由章动（FCN）常数是液核研究的一个方面．1987年以来一些国家的学者相继开展了由潮汐资料解算FCN常数的研究,他们基本上都采用了5个周日波参与解算的迭积法(stackingmethod)．本文提出了一种有直观几何意义的Akp-Btk方法,仅用信噪比最高的3个周日波就可完成FCN常数的解算,并选用3个超导重力台站Cantley（北美洲）、武汉（亚洲）和布鲁塞尔（欧洲）的资料进行计算．解算的液核自由章动常数（TFCN和Q）与VLBI的观测结果基本一致,这在十几年来尚属首次． 相似文献
9.
引潮力的全球位移场及应力场 总被引：1，自引：0，他引：1
本文将地球看作由若干层均匀弹性球壳及一个液核所组成。文中用弹性力学方法得出了在日月引潮力作用下全球位移场及应力场的解析解。由它们将易于分析各种参数变化所产生的效应,这有助于地球模型的构制。 作为例子,文中对1981年IGS及IUGG公布并建议采用的“初步参考地球模型”（简称PREM模型）计算了引潮力引起的全球位移场及应力场,给出了模型地球的内部位移及应力的分布曲线。同时,对PREM模型计算了勒夫数及潮汐因子。计算结果与观测值相当吻合。 相似文献
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《地球物理学进展》2016,(5)
天球参考系转换、勒让德函数计算是精密引潮力计算的两个核心工作.为了确保计算结果的准确性,采用两种彼此相互独立的算法公式进行检核计算.对于天球参考系转换,分别采用基于春分点的岁差章动转换和基于CIO的无旋转原点转换两种方法,转换参数分别采用IERS 2003、2010规范推荐的4组参数模型;对于勒让德函数计算,分别采用勒让德函数的递推算法、完全规格化缔合勒让德函数的递推算法两种数学模型;计算结果验证了引潮力计算过程与数据成果的准确性.以德国BFO测站为例,计算得到1962年1月1日至2015年8月1日54年内,时间间隔为1小时的精密引潮力时间序列,统计结果表明引潮力的量值在149459.841×10~(~(-11))ms~(-2)(10~(~(-11))ms~(-2)=1 nGal)以内.同时对精密引潮力计算中的各类影响因素进行计算与分析,计算结果表明:岁差章动模型更新、以及两种天球参考系转换方法之间的差异对引潮力的影响可完全忽略不计;地球扁率、极移、参考框架偏差、历表更新对引潮力影响的量值分别在1.891×10~(~(-11))ms~(-2)、0.586×10~(~(-11))ms~(-2)、0.032×10~(-11)ms~(-2)、0.012×10~(-11)ms~(-2)以内,这些因素在高精度引潮力计算中不能忽略;而地球时与世界时转换、径向法向转换对引潮力的影响分别达到916×10~(-11)ms~(-2)、476×10~(-11)ms~(-2),忽略这两个因素将会导致计算结果错误. 相似文献
11.
Lunar Laser Ranging: Glorious Past And A Bright Future 总被引：1，自引：0，他引：1
Peter J. Shelus 《Surveys in Geophysics》2001,22(5-6):517-535
Lunar Laser Ranging (LLR), a part of the NASA Apollo program, has beenon-going for more than 30 years. It provides the grist for a multi-disciplinarydata analysis mill. Results exist for solid Earth sciences, geodesy and geodynamics,solar system ephemerides, terrestrial and celestial reference frames, lunar physics,general relativity and gravitational theory. Combined with other data, it treatsprecession of the Earth's spin axis, lunar induced nutation, polar motion/Earthrotation, Earth orbit obliquity to the ecliptic, intersection of the celestial equatorwith the ecliptic, luni-solar solid body tides, lunar tidal deceleration, lunar physicaland free librations, structure of the moon and energy dissipation in the lunar interior.LLR provides input to lunar surface cartography and surveying, Earth station and lunar retroreflector location and motion, mass of the Earth-moon system, lunar and terrestrial gravity harmonics and Love numbers, relativistic geodesic precession, and the equivalence principle of general relativity. With the passive nature of the reflectors and steady improvement in observing equipment and data analysis, LLR continues to provide state-of-the-art results. Gains are steady as the data-base expands. After more than 30 years, LLR remains the only active Apollo experiment. It is important to recognize examples of efficient and cost effective progress of research. LLR is just such an example. 相似文献
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The time variability of diurnal tides was investigated by analyzing gravity observations from global superconducting gravimeter (SG) stations with running time intervals. Through least-square and Bayesian approaches, FCN resonance parameters were estimated for each data section after obtaining the tidal parameters of mainly diurnal tidal waves. The correlation of the time variation in diurnal tidal waves and FCN period was discussed. For comparison, a similar method was used to analyze VLBI observations to study the time variability of nutation terms and FCN period. The variation trend of the FCN period totally depends on the Ψ1 wave in tidal gravity and on the retrograde annual term in nutation. We observed a similar variation trend in the FCN periods obtained from different SG stations worldwide and VLBI observations. The relation between diurnal tides and LOD variations is discussed and the possible mechanisms of the decadal variation in FCN periods were discussed. 相似文献
13.
The Free Core Nutation (FCN) is an important eigenmode which affects both Earth rotation and body tide. The FCN parameters, the resonance period and the quality factor are important for understanding the dynamics of the Earth at nearly diurnal periods. Those parameters are usually estimated either from the Very Long Baseline Interferometry (VLBI) observations of nutation, or from the tidal gravity measurements. In this paper we investigate the determination of the FCN parameters from gravity records covering a period of more than three years, collected with the use of a LaCoste&Romberg Earth Tide no. 26 gravimeter, located at Józefos?aw observatory near Warsaw. From the resonant enhancements of gravimetric factors and phases of diurnal tidal gravity waves, we could infer the FCN period to be equal to 430 sidereal days. This result is in very good agreement with previous gravimetric and VLBI nutation results, confirming the discrepancy in the dynamic flattening of the outer liquid core from its theoretical value based on the hydrostatic equilibrium assumption. The estimated FCN quality factor (Q ≈ 1300) is considerably smaller than the VLBI nutation result, which confirms that the local gravity measurements are more sensitive than VLBI global analyses to site-dependent phenomena (such as atmospheric and indirect ocean tidal effects). We also investigated the importance of gravimetric corrections in the FCN analysis, including numerical tests and simulations. This allowed us to estimate the uncertainty of FCN parameters due to improper or incomplete set of environmental corrections. We took also into account the impact of gravimetric factor errors and tidal wave selection on estimated FCN parameters. We demonstrated that despite relatively noisy measurements due to unfavorable gravimeter location, we were able to obtain very good results in case when proper correction and tidal wave selection were applied. 相似文献
14.
S. M. Molodenskii 《Izvestiya Physics of the Solid Earth》2010,46(7):555-579
When analyzing the new high-accuracy observations of the forced nutation and tidal variations in the acceleration of gravity,
it was found that they are in sharp contradiction to the present-day models of the Earth’s interior based on seismic data
and the data on the periods and damping constants of the free oscillations of the Earth. The elimination of these contradictions
requires analyzing the uniqueness of the interpretation of the free oscillations of the Earth, taking into account the new
data. 相似文献
15.
S. M. Molodensky 《Izvestiya Physics of the Solid Earth》2011,47(7):559-574
In the first part of the paper [Molodenskii, 2011], we considered the problem of ambiguity in the solution of the inverse
problem of retrieval of density distribution in the Earth’s core and mantle and determination of the Q factors in the mantle
from the entire set of modern data on seismic velocities (V
p
and V
S
), the frequencies f
i
and quality factors Q
i
of free oscillations of the Earth, and the amplitudes and phases of its forced nutations. We have constructed the model distributions
of these parameters, in which the root-meansquared (rms) deviations of all observed values from the predicted ones are much
smaller than in the PREM model. Below, we compare the observed amplitudes of the forced nutation with the values predicted
by our model. In order to understand how rigid are the constraints imposed by the amplitudes of forced nutation, we not only
calculate the deviations of the observed amplitudes of nutation from the predictions by our model but also estimate the changes
in these deviations caused by small variations in several parameters of the model. To the parameters to be varied we refer
those which have no or barely any effect on the periods and damping constants of free oscillations but have a pronounced effect
on the amplitudes of forced nutation. These parameters include (1) the rheological properties of the mantle in the interval
of periods from an hour to a day; (2) the dynamical flattening of the liquid core; (3) the dynamic flattening of the solid
inner core; (4) the viscosity of the liquid core; and (5) the moment of inertia of the solid inner core. In addition, we estimate
the effects of variations in the moment of inertia of the liquid core to be small (±0.2%) and not to affect, within the observation
error, the periods of free oscillations. We show that the uncertainty in the model depth distributions of density considerably
decreases when the new data on the amplitudes and phases of the forced nutation of the Earth are taken into account. With
these data, it is possible to estimate the creep function for the lower mantle in a wide range of periods from a second to
a day. 相似文献
16.
Doodson进行引潮位展开时的原始数据采自Brown及Newcomb表,其黄赤交角系采用1900年1月1日之值。目前Brown系数已重新计算,黄赤交角每世纪相对变化5×10-4;地球轨道偏心率每世纪相对变化25×10-4。由此引起的潮波振幅长趋势变化已可辨别,这就是所谓潮波振幅的时间依赖问题。作者采用EJC表及2000.0年的黄赤交角和地球轨道偏心率数值,重新用计算机演绎了引潮位展开式,解决了时间依赖问题。文中给出了属于J2000.0系统的引潮位完全展开表。 相似文献
17.
Study of the Earth's free core nutation by tidal gravity data recorded with international superconducting gravimeters 总被引：3，自引：0，他引：3
By stacking high-precision tidal gravity observations obtained with superconducting gravimeters at six stations in China, Japan, Belgium, France, Germany and Finland, the local systematical discrepancies in the parameter fitting, caused by atmospheric, oceanic tidal loading and the other local environmental perturbations, are eliminated effectively. As a result, the resonance parameters of the Earth's free core nutation are accurately determined. In this study, the eigenperiod of free core nutation is given as 429.0 sidereal days, which is in agreement with those published in the previous studies. It is about 30 sidereal days less than those calculated in theoretical models (about 460 sidereal days), which confirms the real ellipticity of the fluid core of the Earth to be about 5% larger than the one expected in assumption of hydrostatic equilibrium. The quality factor (Q value) of free core nutation is given as about 9543, which, compared with those determined before based on the body tide observations, is much larger, but more close to those obtained using the VLBI observations. The complex resonance strength is also determined as (?6.10(10?4, ?0.01(10?4)(/h, which can principally describe the deformation characteristics of an anelastic mantle. 相似文献
18.
S. M. Molodensky 《Izvestiya Physics of the Solid Earth》2006,42(7):546-550
As was shown in [Molodensky, 2004a, 2004b], modern very long base interferometer (VLBI) data on the amplitudes and phases of the Earth’s forced nutation can provide significantly more rigid constraints on possible values of the quality factor of the lower mantle Q μ and on the dynamic flattening of the liquid core e lc as compared with seismic evidence and data on damping of the free oscillations of the Earth. On the other hand, the accuracy of modern tidal gravity data (obtained from twenty-year series of observations with a cryogenic gravimeter) is also very high and these data must be taken into account while estimating the parameters Q μ and e lc . The paper presents comparative estimates of the determination accuracy of the parameters Q μ and the dynamic flattening of the liquid core from VLBI and the aforementioned tidal gravity data. 相似文献