共查询到20条相似文献，搜索用时 390 毫秒
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月球和地球正常重力特征差异及成因探讨 总被引：1，自引：0，他引：1
月球和地球都非常接近于旋转椭球,基于正常椭球求定的正常重力场占据了月球和地球真实重力场的主要部分,比较月球和地球的正常重力,可以更好地理解这两个天体的重力变化特征.基于Clairaut定理求解月球和地球的正常重力,正常重力随纬度的变化呈现了相反趋势,即地球是两极的正常重力大于赤道的正常重力,而月球是两极的正常重力小于赤道的正常重力.从截断误差及椭球形状与自转角速度的协调关系分析了月球和地球正常重力随纬度变化产生相反趋势的原因:月球的椭球扁率与自转角速度之间的数值关系不满足行星流体静力学平衡条件,即利用Clairaut定理求解正常重力并不严格适用于月球. 相似文献
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国际大地测量与地球物理联合会编的宣传材料介绍了该联合会概况,摘译如下:并成为国际科学联合会理事会十七个科学联合会之一。国际大地测量与地球物理联合会的职能该联合会纯粹是以科学为特点的一个组织,其宗 相似文献
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本文建立了顾及地球扁率和局部切标架随点变化特性的椭球坐标系下的刚体运动模型和块体运动与应变模型,以及球坐标系下顾及局部切标架随点变化特性的严密的块体运动与应变模型,分析了球坐标系下块体运动与应变模型及椭球坐标系下的块体运动与应变模型间的差异;通过计算具体讨论了地球扁率和曲线坐标系的局部切标架随点变化特性对欧拉矢量与应变张量的影响.结果表明：地球扁率对刚体欧拉矢量和应变参数的影响甚小,具体计算时可以不予考虑,但曲线坐标系的局部切标架随点变化特性对两者的影响较大,在建模过程中需要顾及,常用的Savage模型需要修正. 相似文献
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<正> 国际大地测量与地球物理联合会（IUGG）第十八届大会于1983年8月15日至27日在西德汉堡举行。这是每四年一次的国际大地测量与地球物理界的学术盛会。会上,有五次综合报告及廿一个学会间交叉的学术报告会。联合会所属的国际大地测量协会（IAG）、地震和地球内部物理协会（IASPEI）、火山和地球内部化学协会（IAVCEI）、地磁和高空物理协会（IAGA）、气象与大气物理协会（IAMAP）、水文 相似文献
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In this paper, the definition of latitudinal density and density flattening of the level ellipsoid is given, and integral
formulas of latitudinal density for pole gravity and equator gravity are derived. According to the pole gravity condition
and equator gravity condition for the level ellipsoid, latitudinal density distribution function of the level ellipsoid is
obtained. It is proved mathematically that latitudinal density of the earth’s equator is larger than that of the pole, the
earth’s density flattening calculated preliminarily is 1/322, and hypothesis of the earth’s latitudinal normal density is
further proposed, so that theoretical preparation for studying the forming cause of the earth gravity in problems such as
continent drift, mantle convection, and submarine extension is made well. 相似文献
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物理大地测量学与地球物理学结合中的有关问题评注 总被引：2，自引：0，他引：2
本文依据大地重力学反问题的有关研究，对重力场边界扰动量的本征含义进行分析，由此揭示出它们在逼近地球实际重力场源过程中所具有的物理意义及存在的不足。然后进一步论及正常场源的非物理性上，并对其解决途径进行了探讨，最后对大地得力学反问题研究中的物理核－－正交分解定理描述的场源量所具有的实际意义及其在地球物理反演中的具有的作用进行了分析和评注。 相似文献
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Mariya I. Yurkina 《Studia Geophysica et Geodaetica》1994,38(4):325-332
Summary A relation is established between coefficients of an expansion of the gravitational potential into a series of Legendre's
function of the second kind and coefficients of an expansion of gravity anomalies on the surface of the reference ellipsoid
into a series of the same functions. This connection can be useful in geodetic computations which take into account the Earth's
flattening. 相似文献
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Global ellipsoid-referenced topographic,bathymetric and stripping corrections to gravity disturbance
This paper revisits several aspects of defining and computing the anomalous gravity data for purposes of gravimetric inversion/interpretation.
Attention is paid to evaluation of a refined global topographic correction to the gravity disturbance based on the reference
ellipsoid (RE) and constant reference density for solid topography onshore and sea water density for liquid topography offshore.
The global bathymetric correction is discussed. Two issues associated with compilation and inversion of bathymetrically and
topographically corrected gravity disturbances in regions of negative ellipsoidal (geodetic) heights are pointed out: the
evaluation of normal gravity and the harmonic continuation of the gravity data. Stripping, the removal of an effect of a known
density contrast, is considered also for additional geological elements such as lakes, glaciers, sedimentary basins, isostatic
mountain roots, etc. The stripping corrections are discussed in the context of the gravimetric inverse problem. 相似文献
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地球固态内核的平动振荡是地球的基本简正模之一,又称Slichter模,其本征周期大约为几个小时,与地球内部结构密切相关.为了研究影响内核平动振荡的本征周期与内部结构的依赖关系,本文利用球对称、非自转、弹性和各向同性地球模型（SNREI）,通过自由振荡运动方程的数值积分,以地球模型PREM为基础,理论上系统研究了地球内部介质（包括密度、地震波速等）分布异常对Slichter模本征周期的影响.数值结果表明,Slichter模周期随着内外核边界（ICB）密度差的增加以类似于双曲线的特征显著减小,当ICB密度差从597 kg·m-3减小到200 kg·m-3时,周期增大66.44%,当ICB密度差从597 kg·m-3增大到1000 kg·m-3时,周期减小21.48%;Slichter模周期随着核幔边界（CMB）密度差的增大而缓慢增大;相对于PREM,地球模型1066A在ICB和CMB的密度差分别相差45.321%和1.132%,内部地震波速度和密度梯度也存在差异,但是,当密度差减小到1066A模型提供的数值时,得到的Slichter模周期与基于1066A获得的结果（4.599 h）非常接近,差异分别只有3.762%和0.037%;表明Slichter模本征周期与地球内部介质的精细结构关系不大,而对ICB的密度差非常敏感.内、外核P波波速分布异常对Slichter模周期的影响基本相当,当内核和外核P波波速均增加5%时,Slichter周期分别减小1.02%和1.69%,P波波速分别减小5%时,Slichter模周期分别增加1.27%和1.847%,内核S波波速分布异常比P波波速分布异常对Slichter模周期的影响小1个量级;与地核相比,地幔中的地震波速异常对Slichter模本征周期的影响小1~2个量级;表明地核中地震波速异常对Slichter模周期的影响很小,目前有关Slichter模周期理论计算的差异主要来自于所采用的地球模型中内核边界的密度差的差异,本文结果可以为Slichter模的研究、探测及其对地球深内部结构的约束提供理论依据. 相似文献
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Michele Caputo 《Pure and Applied Geophysics》1964,57(1):66-82
Summary Adopting thePizzetti-Somigliana method and using elliptic integrals we have obtained closed formulas for the space gravity field in which one of the equipotential surfaces is a triaxial ellipsoid. The same formulas are also obtained in first approximation of the equatorial flattening avoiding the use of the elliptic integrals. Using data from satellites and Earth gravity data the gravitational and geometric bulge of the Earth's equator are computed. On the basis of these results and on the basis of recent gravity data taken around the equator between the longitudes 50° to 100° E, 155° to 180° E, and 145° to 180° W, we question the advantage of using a triaxial gravity formula and a triaxial ellipsoid in geodesy. Closed formulas for the space field in which a biaxial ellipsoid is an equipotential surface are also derived in polar coordinates and its parameters are specialized to give the international gravity formula values on the international ellipsoid. The possibility to compute the Earth's dimensions from the present Earth gravity data is the discussed and the value ofMG=(3.98603×1020 cm3 sec–2) (M mass of the Earth,G gravitational constant) is computed. The agreement of this value with others computed from the mean distance Earth-Moon is discussed. The Legendre polinomials series expansion of the gravitational potential is also added. In this series the coefficients of the polinomials are closed formulas in terms of the flattening andMG.Publication Number 327, and Istituto di Geodesia e Geofisica of Università di Trieste. 相似文献
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S.M. Nakiboglu 《Physics of the Earth and Planetary Interiors》1982,28(4):302-311
A second-order hydrostatic theory is developed on the assumption that the trace of the Earth's inertia tensor, its mass and mean radius are invariant under any process causing deviations from the hydrostatic state.The hydrostatic flattening and the zonal coefficients of the hydrostatic gravitational field are obtained as ??1 = 299.638, J2 = 1072.618 × 10?6 and J4 = ?2.992 × 10?6, respectively.The internal theory using the preliminary reference earth model (PREM) of Dziewonski and Anderson (1981) yields ??1 = 299.627, J2 = 1072.701 × 10?6 and J4 = ?2.992 × 10?6. The agreement between these and the hydrostatic values indicate that PREM is suitable as a reference model as it represents the spheroidal density distribution in a state of zero non-hydrostatic stress while satisfying the fundamental geodetic observations of the invariant quantities.The small discrepancy between the hydrostatic flattening and the value deduced from PREM suggests that the density is underestimated at large depths and/or it is slightly overestimated in shallow regions of the Earth.The discrepancies between the hydrostatic and observed quantities persist after the removal of the accountable effects of isostatically compensated topography, permanent tidal deformation and the present mass anomalies associated with the Late-Pleistocene deglaciation. These ‘corrected’ discrepancies point to a triaxial non-hydrostatic figure which cannot be explained by the delayed response of the Earth to tidal deceleration. 相似文献
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The Legendre functions of the second kind, renormalized by Jekeli, are considered in the external space on a set of ellipsoids of revolution which are confocal with respect to the normal ellipsoid. Among these ellipsoids a reference one is chosen which bounds the Earth. New expressions for the first and second order derivatives of the Legendre functions are derived. They depend on two very quickly convergent Gauss hypergeometric series which are obtained by transforming the slowly convergent initial hypergeometric series. The derived expressions are applied for constructing the ellipsoidal harmonic series for the Earth disturbing gravitational potential and its derivatives of the first and second orders. Since outside the chosen reference ellipsoid there are no Earth masses (as compared to the normal ellipsoid) then it is more appropriate for constructing the boundary-value equation and solving it on the basis of surface gravity data reduced to this ellipsoid. 相似文献
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Robert Tenzer Hamayun Pavel Novák Vladislav Gladkikh Peter Vajda 《Pure and Applied Geophysics》2012,169(9):1663-1678
We compute globally the consolidated crust-stripped gravity disturbances/anomalies. These refined gravity field quantities are obtained from the EGM2008 gravity data after applying the topographic and crust density contrasts stripping corrections computed using the global topography/bathymetry model DTM2006.0, the global continental ice-thickness data ICE-5G, and the global crustal model CRUST2.0. All crust components density contrasts are defined relative to the reference crustal density of 2,670 kg/m3. We demonstrate that the consolidated crust-stripped gravity data have the strongest correlation with the crustal thickness. Therefore, they are the most suitable gravity data type for the recovery of the Moho density interface by means of the gravimetric modelling or inversion. The consolidated crust-stripped gravity data and the CRUST2.0 crust-thickness data are used to estimate the global average value of the crust-mantle density contrast. This is done by minimising the correlation between these refined gravity and crust-thickness data by adding the crust-mantle density contrast to the original reference crustal density of 2,670?kg/m3. The estimated values of 485 kg/m3 (for the refined gravity disturbances) and 481?kg/m3 (for the refined gravity anomalies) very closely agree with the value of the crust-mantle density contrast of 480?kg/m3, which is adopted in the definition of the Preliminary Reference Earth Model (PREM). This agreement is more likely due to the fact that our results of the gravimetric forward modelling are significantly constrained by the CRUST2.0 model density structure and crust-thickness data derived purely based on methods of seismic refraction. 相似文献
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Compilation of the bathymetrically and topographically corrected gravity disturbance, the so called BT disturbance, for the
purpose of gravity interpretation/inversion, is investigated from the numerical point of view, with special emphasis on regions
of negative heights. In regions of negative ellipsoidal (geodetic) heights, such as the Dead Sea region onshore or offshore
areas of negative geoidal heights, two issues complicate the compilation and subsequently the inversion of the BT disturbance.
The first is associated with the evaluation of normal gravity below the surface of the reference ellipsoid (RE). The latter
is tied to the legitimacy of the harmonic continuation of the BT disturbance in these regions. These two issues are proposed
to be resolved by the so called reference quasi-ellipsoid (RQE) approach. New bathymetric and topographic corrections are
derived based on the RQE and the inverse problem is formulated based on the RQE. The RQE approach enables the computation
of normal gravity by means of the international gravity formula, and makes the harmonic continuation in the regions of negative
heights of gravity stations legitimate. The gravimetric inversion is then transformed from the RQE approach back to the RE
approach, following the now legitimate harmonic upward continuation of the gravity data to stations on or above the RE. Stripping,
the removal of an effect of a known density contrast, is considered in the context of the RQE approach. A numerical case study
is presented for the RQE approach in a region of NW Canada. 相似文献