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1.
V. S. Schwarze 《Journal of Geodesy》1999,73(11):594-602
The reformulation of geodetic measurement processes within the framework of general relativity is discussed. The metric tensor
plays an important role in general relativity and has to be represented with respect to a set of appropriate charts. Almost
every quantity of interest in geodetic or geophysical applications refers to a geocentric, Earth-fixed coordinate system (chart),
therefore they are of great importance in geodesy and geophysics. The space–time metric with respect to an Earth-fixed chart
is derived at first post-Newtonian order. The field equations determining the terrestrial gravitational field are derived
and its explicit representation is outlined. The impact of the results on the modelling of geodetic measurement processes
including space–time positioning scenarios as well as the high-precision gravitational field estimation is outlined.
Received: 7 January 1998 / Accepted: 17 August 1999 相似文献
2.
大地测量学科发展现状与趋势 总被引：2，自引：1，他引：2
近50年,由于大地测量观测手段的不断进步和应用领域的不断拓展,大地测量学科不断进化,并与其他学科不断交叉与融合。本文首先简述了大地测量学发展的背景和在历史上发挥的主要作用,梳理了大地测量传统学科的形成。进一步,分析了大地测量发展现状,侧重从观测手段的进步描述学科的发展;从应用领域的拓展描述交叉学科的形成;从国家需求和科学发展出发,描述了大地测量学科未来的发展趋势。最后,综合各方面因素,提出了大地测量现阶段学科分类建议,试图为大地测量工作者的科研选题、基金申请提供借鉴。 相似文献
3.
大地测量坐标框架和重力场求定的新进展 总被引：1，自引：0，他引：1
近几年来大地测量在坐标系统和坐标框架和ITRF，WGS84，GRS80等方面进行了很多研究和改善，本文介绍了坐标原点地心的移动，大地测量基本常数的更新，直至最新的ITRF2000和WGS84（1150）的推出。在求定重力场方面发展了卫星跟踪卫星（SST）测定地球重力场及其变化的新技术。这些使大地测量学提供和处理了涉及原来是地球动力学，行星学，大气学，海洋学、板块运动学和冰川学等学科所需的信息。事实上证明大地测量学业已形成为学科交叉意义上一门科学，它将更大的影响和促进地球科学，环境科学和行星科学的发展。 相似文献
4.
One of the most basic and important tools in optimal spectral gravity field modelling is the method of Wiener filtering.
Originally developed for applications in analogue signal analysis and communication engineering, Wiener filtering has become
a standard linear estimation technique of modern operational geodesy, either as an independent practical tool for data de-noising
in the frequency domain or as an integral component of a more general signal estimation methodology (input–output systems
theory). Its theoretical framework is based on the Wiener–Kolmogorov linear prediction theory for stationary random fields
in the presence of additive external noise, and thus it is closely related to the (more familiar to geodesists) method of
least-squares collocation with random observation errors. The main drawback of Wiener filtering that makes its use in many
geodetic applications problematic stems from the stationarity assumption for both the signal and the noise involved in the
approximation problem. A modified Wiener-type linear estimation filter is introduced that can be used with noisy data obtained
from an arbitrary deterministic field under the masking of non-stationary random observation errors. In addition, the sampling
resolution of the input data is explicitly taken into account within the estimation algorithm, resulting in a resolution-dependent
optimal noise filter. This provides a more insightful approach to spectral filtering techniques for noise reduction, since
the data resolution parameter has not been directly incorporated in previous formulations of frequency-domain estimation problems
for gravity field signals with discrete noisy data.
Received: 1 November 2000 / Accepted: 19 June 2001 相似文献
5.
现代大地测量学的进展 总被引：4，自引：1，他引：4
经典大地测量学主要研究地球的几何形状、定向及其重力场,并关注在地球上点的定位、重力值。现代大地测量则已超过原来经典的研究内容,将原来所考虑的静态内容,在长距离、大范围、实时和高精度测量的条件下,和时间(历元)这一因素联系起来。此外,现代大地测量学提供和处理了涉及原来是地球动力学、行星学、大气学、海洋学、板块运动学和冰川学等学科所需的信息。现代大地测量学可以并已经涉及多种学科领域,并提供多种学科领域长期以来很难取得的数值和有可能解决它们相应的困惑,事实证明现代大地测量学业已形成了学科交叉意义上的一门科学,它将更大地影响和促进地球科学、环境科学和行星科学的发展。 相似文献
6.
C. C. Tscherning 《Journal of Geodesy》1978,52(1):85-92
The term “entity” covers, when used in the field of electronic data processing, the meaning of words like “thing”, “being”,
“event”, or “concept”. Each entity is characterized by a set of properties.
An information element is a triple consisting of an entity, a property and the value of a property. Geodetic information is
sets of information elements with entities being related to geodesy. This information may be stored in the form ofdata and is called ageodetic data base provided (1) it contains or may contain all data necessary for the operations of a particular geodetic organization, (2)
the data is stored in a form suited for many different applications and (3) that unnecessary duplications of data have been
avoided.
The first step to be taken when establishing a geodetic data base is described, namely the definition of the basic entities
of the data base (such as trigonometric stations, astronomical stations, gravity stations, geodetic reference-system parameters,
etc...).
Presented at the “International Symposium on Optimization of Design and Computation of Control Networks”, Sopron, Hungary,
July 1977. 相似文献
7.
An integrated wavelet concept of physical geodesy 总被引：4，自引：1，他引：3
For the determination of the earth's gravity field many types of observations are nowadays available, including terrestrial
gravimetry, airborne gravimetry, satellite-to-satellite tracking, satellite gradio-metry, etc. The mathematical connection
between these observables on the one hand and gravity field and shape of the earth on the other is called the integrated concept
of physical geodesy. In this paper harmonic wavelets are introduced by which the gravitational part of the gravity field can
be approximated progressively better and better, reflecting an increasing flow of observations. An integrated concept of physical
geodesy in terms of harmonic wavelets is presented. Essential tools for approximation are integration formulas relating an
integral over an internal sphere to suitable linear combinations of observation functionals, i.e. linear functionals representing
the geodetic observables. A scale discrete version of multiresolution is described for approximating the gravitational potential
outside and on the earth's surface. Furthermore, an exact fully discrete wavelet approximation is developed for the case of
band-limited wavelets. A method for combined global outer harmonic and local harmonic wavelet modelling is proposed corresponding
to realistic earth's models. As examples, the role of wavelets is discussed for the classical Stokes problem, the oblique
derivative problem, satellite-to-satellite tracking, satellite gravity gradiometry and combined satellite-to-satellite tracking
and gradiometry.
Received: 28 February 1997 / Accepted: 17 November 1997 相似文献
8.
A general scheme is given for the solution in a least-squares sense of the geodetic boundary value problem in a spherical,
constant-radius approximation, both uniquely and overdetermined, for a large class of observations. The only conditions are
that the relation of the observations to the disturbing potential is such that a diagonalization in the spectrum can be found
and that the error-covariance function of the observations is isotropic and homogeneous. Most types of observations used in
physical geodesy can be adjusted to fit into this approach. Examples are gravity anomalies, deflections of the vertical and
the second derivatives of the gravity potential.
Received: 3 November 1999 / Accepted: 25 September 2000 相似文献
9.
本文以有限单元法为基础，将四维整体大地测量模型与固体力学方程求解构造应力场结合起来，在四维整体大地测量方程中加入了由地壳构造运动产生的地面点重力变化的观测方程，其中包含测点的位移参数，边界结点上待求以数利用有限单元法在四维整体大地测量平差过程中推估，采用统一的插值函数。 相似文献
10.
坐标框架是描述地球形状及变化、表达地球空间信息的基础,也是拓展人类活动、促进社会发展的关键地球空间信息基础设施。随着空间大地测量观测技术的发展,地球科学及相关学科间的交叉渗透融合,利用其建立全球或区域坐标框架成为当前大地测量的主要任务。研究建立1毫米级坐标框架是国际大地测量学界21世纪的学科目标和重要挑战。本文以当前建立理论最完善、应用最广泛、精度最高的国际地球参考框架为例,描述了基于空间大地测量观测技术的坐标框架建立方法,阐述了全球及区域地心坐标框架建设的最新进展及局限性,最后针对建立1毫米级坐标框架的几个关键问题提出了研究思路。 相似文献
11.
12.
Gravity field estimation in geodesy, through linear(ized) least squares algorithms, operates under the assumption of Gaussian
statistics for the estimable part of preselected models. The causal nature of the gravity field is implicitly involved in
its geodetic estimation and introduces the need to include prior model information, as in geophysical inverse problems. Within
the geodetic concept of stochastic estimation, the prior information can be in linear form only, meaning that only data linearly
depending on the estimates can be used effectively. The consequences of the inverse gravimetric problem in geodetic gravity
field estimation are discussed in the context of the various approaches (in model data spaces) which have the common goal
to bring into agreement the statistics between these two spaces. With a simple numerical example of FAA prediction, it is
shown that prior information affects the accuracy of estimates at least equally as the number of input data.
Received: 25 April 1994; Accepted: 15 October 1996 相似文献
13.
Current activities and recent progress on constructive approximation and numerical analysis in physical geodesy are reported
upon. Two major topics of interest are focused upon, namely trial systems for purposes of global and local approximation and
methods for adequate geodetic application. A fundamental tool is an uncertainty principle, which gives appropriate bounds
for the quantification of space and momentum localization of trial functions. The essential outcome is a better understanding
of constructive approximation in terms of radial basis functions such as splines and wavelets.
Received: 4 May 1999 / Accepted: 21 May 1999 相似文献
14.
建立统一的全球高程基准是国际大地测量科学界的核心目标之一,也是全球尺度地球科学研究、跨境工程应用等的必要基础设施。国际大地测量协会（international geodesy association,IAG）2015年发布了国际高程参考系统的定义,并于2019年提出了建立国际高程参考框架的目标。从全球高程参考系统的理论基础和定义出发,对国际高程参考系统与框架的理论、方法和实际问题开展论述与研究,主要包括全球大地水准面重力位
15.
16.
Relativity, or gravitational physics, has widely entered geodetic modelling and parameter determination. This concerns, first
of all, the fundamental reference systems used. The Barycentric Celestial Reference System (BCRS) has to be distinguished
carefully from the Geocentric Celestial Reference System (GCRS), which is the basic theoretical system for geodetic modelling
with a direct link to the International Terrestrial Reference System (ITRS), simply given by a rotation matrix. The relation
to the International Celestial Reference System (ICRS) is discussed, as well as various properties and relevance of these
systems. Then the representation of the gravitational field is discussed when relativity comes into play. Presently, the so-called
post-Newtonian approximation to GRT (general relativity theory) including relativistic effects to lowest order is sufficient
for practically all geodetic applications. At the present level of accuracy, space-geodetic techniques like VLBI (Very Long
Baseline Interferometry), GPS (Global Positioning System) and SLR/LLR (Satellite/Lunar Laser Ranging) have to be modelled
and analysed in the context of a post-Newtonian formalism. In fact, all reference and time frames involved, satellite and
planetary orbits, signal propagation and the various observables (frequencies, pulse travel times, phase and travel-time differences)
are treated within relativity. This paper reviews to what extent the space-geodetic techniques are affected by such a relativistic
treatment and where—vice versa—relativistic parameters can be determined by the analysis of geodetic measurements. At the
end, we give a brief outlook on how new or improved measurement techniques (e.g., optical clocks, Galileo) may further push
relativistic parameter determination and allow for refined geodetic measurements. 相似文献
17.
P. J. G. Teunissen 《Journal of Geodesy》1982,56(4):356-363
For computing the geodetic coordinates ϕ and γ on the ellipsoid one needs information of the gravity field, thus making it
possible to reduce the terrestrial observations to the reference surface. Neglect of gravity field data, such as deflections
of the vertical and geoid heights, results in misclosure effects, which can be described using the object of anholonomity. 相似文献
18.
The DNSC08GRA global marine gravity field from double retracked satellite altimetry 总被引：15，自引：9，他引：6
Satellite radar altimetry has been monitoring the earth’s oceans from space for several decades. However, only the GEOSAT and ERS-1 geodetic mission data recorded more than a decade ago provide altimetry with adequate spatial coverage to derive a high-resolution marine gravity field. The original geodetic mission data suffer from degradation in quality and coverage close to the coast and in Polar Regions as well as the occasionally wrongly retracking of these, even in the open ocean. In order to improve the quality of these geodetic mission data and to derive a new improved global marine gravity field called DNSC08GRA, a new double retracking technique for analyzing the waveform data has been developed. Multiple retracking allows the system to retrack more data to increase the spatial coverage of the data. Subsequently, a second retracking run is used to enhance the SSH determination by using information from the first fitting to inform the second set of retrackers about smoothly varying sea state parameters. The development of the new global marine gravity field DNSC08GRA is described in this paper. Besides application of new retracking techniques the radar altimetry has been processed using EGM2008 as reference and augmented with ArcGP gravity data and laser altimetry from ICESat to close the Polar gap. DNSC08GRA is seen to perform significantly better than previous global marine gravity field like KMS02. The improvement in accuracy is better than 20% in general, but in coastal regions, the improvement is in many places of the order of 40–50% compared to older global marine gravity field KMS02. 相似文献
19.
E. Grafarend 《Journal of Geodesy》1973,47(3):237-260
Based on exterior calculus, the G. Frobenius integration theorem, holonomic and anholonomic Riemannian geometry, the typical
geodetic problems are summarized in a unified manner. The E. Cartan pseudotorsion of natural orthogonal coordinates causes
the misclosure of a closed three dimensional traverse. Natural coordinate differences are path dependent, anholonomic, nonintegrable,
nonunique, therefore. The geodetic pseudotorsion form depends only on the components of the A. Marussi tensor of gravity gradients.
A physically defined coordinate system can be found which is pseudotorsion free, whose coordinates are holonomic, integrable,
unique. The G. Frobenius transformation matrix is of rank three, explaining the number of three dimensions of an intrinsic
surface geometry. The matrix elements depend on either the second derivatives of the real gravity potential and the Euclidean
norm of its gravity vector or the second derivatives of the standard gravity potential, the Euclidean norm of its standard
gravity vector and the vertical deflections. Incomplete information of the earth's gravity field leads to the concept of boundary
value problems and satellite geodesy.
相似文献
20.
我国大地坐标系的换代问题 总被引：22，自引：3，他引：22
魏子卿 《武汉大学学报(信息科学版)》2003,28(2):138-143,148
首先指出了我国现有大地坐标系在先进性和实用性方面存在的问题，提出了我们面临的选择与采用地心坐标系的建议，然后就地心坐标系的定义和实现、参考椭球常数、正常重力公式等问题提出了初步意见，并就坐标系改变对旧地形图的影响问题进行了研究。我国大地坐标系应由局部坐标系更新为地心坐标系。我国大地坐标系的定义应与IERS(国际地球自转服务)协议相一致，采用国际常用的参考椭球和正常重力公式。本文提出的参考椭球和正常重力公式符合这些原则，提出的地形图坐标系变化改正方案应是基本可行的。 相似文献