区域GPS网与地面网3维联合处理

随着GPS和传统地面测量技术的发展，两种技术的组合应用常常是适宜的选择。显然，有关GPS网与地面网联合处理的研究在GPS测量技术应用中是重要的。本文对区域GPS网与地面网3维联合平方差方法进行了研究，给出了相应的函数模型，解决了经典3维平差中天文经纬度缺乏和垂直折光差改正两个关键技术问题，此外，为节省计算机存储和运算时间，笔者建议采用变带宽存储法和剖面极小化算法，文章的最后简要介绍了CPSTGD数据处理软件。     

GPS空间基线向量网与地面控制网的联合平差模型

利用全球定位系统(GPS)所建立的空间基线向量网,对于改善已有地面网,分析网的系统误差和进行地球动力学的监测等具有广泛的意义。本文着重讨论了上述空间基线向量网和地面控制网的三维联合平差和二维联合平差的方法和模型。指出,为了避免地面网高程误差以及引入地面网尺度因子的模型误差对三维联合平差结果的影响,在二维大地坐标系统中进行上述两网联合平差的方法具有重要的现实意义。     

Alignment of geodetic and satellite coordinate systems to the average terrestrial system

The parallelism of geodetic and satellite systems to the average terrestrial system is examined, under the assumption that a geodetic system is a fixed framework invariant with respect to geodetic network adjustment. In this case a geodetic system is rotated with respect to the average terrestrial system only about the ellipsoid normal of the initial point. The method is demonstrated using coordinates and covariance matrices for BC-4 and SECOR satellite tracking stations computed by Mueller and his co-workers. It is shown that the NAD geodetic system is scaled significantly larger than the satellite systems; the SECOR satellite systems have significant Z-rotations with respect to the average terrestrial system; and the ETH geodetic system may have a significant rotation with respect to the average terrestrial system.     

全国天文大地网与空间大地网联合平差

天文大地网与空间大地网联合平差,对于检核、控制与加强天文大地网以及建立与扩展地心坐标系,都具有重要意义,全国天文大地网与全国ＧＰＳ大地网联合平差（Ｉ期）于１９９８年初完成,本文报告平差采用的原则和模型,并提出平差结果,通过联合平差,消除了天文大地网尺度的系统偏差,减弱了它的局部变形,改善了它的整体精度,更重要的是建立了由近５万个大地点坐标体现的地心参考系,其地心坐标的水平分量精度好于０．５ｍ。     

The development and the projective methods of geodesy and their effect on large triangulation and trilateration networks

The projective methods of Helmert and Pizzetti enable the measured elements of a geodetic network to be reduced rigorously to the surface of a reference ellipsoid. However, in most existing triangulation networks, the routine development method has been used for this purpose. Some of the differences between the development and projective methods are investigated by interpreting the results of two numerical examples. It is concluded that use of the development method may cause appreciable discrepancies to occur within geodetic networks, depending primarily upon the extent of the networks, the orientation of the ellipsoid used, and the magnitude of the geoid undulations. Geophysical Studies Section Aeronautical Chart and Information Center     

On the meaning of geodetic orientation

After deriving models for changes of coordinates and azimuths due to rotations, the investigation considers methods for modeling terrestrial orientation in adjustments of geodetic networks. If a misorientation of a geodetic network exists, this can be due to systematic errors in astronomic longitude or in astronomic azimuth, or in both. A separation of these two effects is not possible in practice. The initial azimuth at the datum origin contributes to the orientation only as much as any other azimuth of the same weight.     

Altimetry–gravimetry problems with free vertical datum

 The definition and connection of vertical datums in geodetic height networks is a fundamental problem in geodesy. Today, the standard approach to solve it is based on the joint processing of terrestrial and satellite geodetic data. It is generalized to cases where the coverage with terrestrial data may change from region to region, typically across coastlines. The principal difficulty is that such problems, so-called altimetry–gravimetry boundary-value problems (AGPs), do not admit analytical solutions such as Stokes' integral. A numerical solution strategy for the free-datum problem is presented. Analysis of AGPs in spherical and constant radius approximation shows that two of them are mathematically well-posed problems, while the classical AGP-I may be ill posed in special situations. Received: 2 December 1998 / Accepted: 30 November 1999     

顾及精度与可靠性的测量控制网优化设计

本文从两个准则矩阵——精度准则矩阵与可靠性准则矩阵出发,导出了一种新的测量控制网优化设计方法。利用它不仅能实现同时顾及精度与可靠性的二类优化设计,还可进行以准则矩阵为基础的一类优化设计。另外,这种方法可将一类、二类设计问题同时解决,从而为测量控制网的混合设计开辟了新路。     

整体大地测量的虚拟点质量模型

本文根据局部重力场逼近的虚拟质点方法,导出整体大地测量的虚拟点质量模型,给出了地面大地测量及GPS水准观测在这一模型下的观测方程,并讨论了有关问题。     

A graph-theoretical algorithm for detecting configuration defects in triangular geodetic networks

Summary The problem to detect configurational defects in geodetic networks is solved by a graph-theoretical algorithm, here applied to triangular geodetic networks and being presented as a computer program in the Appendix. Based on an analysis of the incidence matrix the algorithm detects, for instance, missing vertical directions which cause two types of deficiencies. In case of only vertical direction measurements from one point to another, but no counter vertical direction measurements backwards, the rank deficiency of the first type is identified. Furtheron if there are “bare” points with no vertical direction measurements at all, the rank deficiency of the second type is found. The algorithm has proved a rank deficiency of 4+13=17 in theSW Finland triangular network which before has been found as the surprizing rank defect ofTAGNET 3d-operational adjustment.     

Models for controlling national and continental networks

Doppler derived geocentric and relative geodetic positions are now widely used for detecting and controlling systematic scale and orientation errors in large classical terrestrial triangulation networks. However, the combined adjustment of terrestrial and space data raises several theoretical problems, including the choice of appropriate reference systems, the a priori weighting of the various types of observations, the modelling of systematic errors and the conditioning of the network in terms of internal and external rank deficiencies. Tests with large national networks show conclusively that, without correct modelling, systematic errors will largely be unaffected by “higher order” observations.     

用边长改正数求取测区平均高程异常

边角网平差前须将观测值归算到椭球面上，归算离不开高程异常。文中推导了用边长的平差改正数计算测区平均高程异常改正数的公式，提出了精化平均高程异常改正数的迭代方法。此方法最大的优点是不需要天文、重力、空间等外部数据的支持，简单易行。不仅可以满足高程异常未知情况下观测值归算的需要，也可满足高程异常不精确情况下观测值归算的需要，通过迭代还可以提高边角网平差结果的精度。     

First-order design of geodetic networks using the simulated annealing method

The general problem of the optimal design for a geodetic network subject to any extrinsic factors, namely the first-order design problem, can be dealt with as a numeric optimization problem. The classic theory of this problem and the optimization methods are revised. Then the innovative use of the simulated annealing method, which has been successfully applied in other fields, is presented for this classical geodetic problem. This method, belonging to iterative heuristic techniques in operational research, uses a thermodynamical analogy to crystalline networks to offer a solution that converges probabilistically to the global optimum. Basic formulation and some examples are studied.     

Reducing the profile of sparse symmetric matrices

An algorithm for improving the profile of a sparse symmetric matrix is introduced. Tests on normal equation matrices encountered in adjustments of geodetic networks by least squares demonstrate that the algorithm produces significantly lower profiles than the widely used reverse Cuthill-McKee algorithm.     

连续网模拟优化方法研究

本文根据连续网精度数字化分析的结数,建立了适用于大规模连续网优化的快速选择最优附加观测量的方法。借此,成功地将解析模拟法应用到较大规模连续网的优化设计和改进中。     

Indian geoid on GRS 67 from geopotential coefficients

The geoid on GRS 67 for the Indian subcontinent has been determined using the geopotential coefficients of degree and order 52 and 180. A broad comparison has also been made between these geoids and the previously determined generalized gravimetric and detailed astrogeodetic-gravimetric geoids. It has been found that still higher degree and order geopotential coefficient solutions from adequate reliable terrestrial data are required to achieve precision of geodetic standards.     

EARTH CURVATURE AND REFRACTION

Abstract

1. For both geodetic and geophysical reasons it is desirable that a method of determining the curvature of the earth at a large number of points, as well as the heights of these points, should be developed. The fact that these two quantities are intimately related in the process of height determination by reciprocal vertical angles has in general been ignored. The present paper does not profess to provide a complete solution; but rather to set forth the requirements and to make some suggestions towards meeting them; and to stress the need for research in the matter of terrestrial refraction, which is certainly long overdue.     

Assessment of the possible contribution of space ties on-board GNSS satellites to the terrestrial reference frame

The realization of the international terrestrial reference frame (ITRF) is currently based on the data provided by four space geodetic techniques. The accuracy of the different technique-dependent materializations of the frame physical parameters (origin and scale) varies according to the nature of the relevant observables and to the impact of technique-specific errors. A reliable computation of the ITRF requires combining the different inputs, so that the strengths of each technique can compensate for the weaknesses of the others. This combination, however, can only be performed providing some additional information which allows tying together the independent technique networks. At present, the links used for that purpose are topometric surveys (local/terrestrial ties) available at ITRF sites hosting instruments of different techniques. In principle, a possible alternative could be offered by spacecrafts accommodating the positioning payloads of multiple geodetic techniques realizing their co-location in orbit (space ties). In this paper, the GNSS–SLR space ties on-board GPS and GLONASS satellites are thoroughly examined in the framework of global reference frame computations. The investigation focuses on the quality of the realized physical frame parameters. According to the achieved results, the space ties on-board GNSS satellites cannot, at present, substitute terrestrial ties in the computation of the ITRF. The study is completed by a series of synthetic simulations investigating the impact that substantial improvements in the volume and quality of SLR observations to GNSS satellites would have on the precision of the GNSS frame parameters.     

Roundoff accumulation at weak horizontal positions

This paper examines computer roundoff error accumulation in the least-squares adjustment of horizontal geodetic networks containing positions of very poor geometry. Roundoff error accumulates at the weak unknowns but does not disturb the solution of well-determined positions. Numerical results are given.