ITRF2008框架下VLBI与GPS确定地心坐标的精度分析

为了解ITRF2008框架下VLBI和GPS两种空间技术确定地心坐标的真正实现精度,在并置站上对VLBI和GPS两种空间技术测定的地心坐标进行了比较,经过偏心改正和七参数转换之后,得到两种空间技术地心坐标不符值的加权中误差,其可以认为是这两种空间技术的真正实现精度,经比较分析这两种地心坐标三个坐标轴方向分量的外符精度都在10mm之内,说明VLBI和GPS确定的地心坐标精度已达到毫米级。     

GPS、VLBI和SLR确定地心坐标的精度分析

为评价GPS、VLBI和SLR这3种空间技术确定地心坐标的真正实现精度,我们把3种技术在并置站上的地心坐标进行了相互比较。经过偏心改正和7个参数的转换后,可获得任意2种技术地心坐标不符值的加权中误差,以此作为外符精度。可以看出,VLBI与GPS地心坐标三分量的外符精度在1cm之内,SLR与VLBI和GPS地心坐标三分量的外符精度在1～3cm之间。表明VLBI和CPS实现的地心坐标精度比SLR高一些,已达毫米级。     

空间大地测量技术实测台站速度场精度分析

利用国际上3个著名的数据分析处理中心CSR、JPL和GSFC给出的3种空间大地测量技术实测的台站运动速度场数据,解算不同空间技术速度场之间的转换参数,即速度场之间的系统差。在扣除两两技术之间速度场的系统差后,用速度场残差计算了空间技术速度场之间的不符值加权中误差作为衡量不同空间技术实测台站速度场的外部检核指标,即外符精度。计算结果表明,VLBI和GPS实测台站地心速度已经达到1 mm/a的精度;SLR实测台站地心速度已经达到2 mm/a的精度。     

空间大地测量技术实测台站速度场精度分析

利用国际上3个著名的数据分析处理中心CSR、JPL和GSFC给出的3种空间大地测量技术实测的台站运动速度场数据,解算不同空间技术速度场之间的转换参数,即速度场之间的系统差.在扣除两两技术之间速度场的系统差后,用速度场残差计算了空间技术速度场之间的不符值加权中误差作为衡量不同空间技术实测台站速度场的外部检核指标,即外符精度.计算结果表明,VLBI和GPS实测台站地心速度已经达到1 mm/a的精度;SLR实测台站地心速度已经达到2 mm/a的精度.     

GPS,VLBI和SLR确定地心坐标的精度分析

为评价ＧＰＳ、ＶＬＢＩ和ＳＬＲ这３种空间技术确定地心坐标的真正实现精度,我们把３种技术在并置站上的地心坐标进行了相互比较。经过偏心改正和７个参数的转换后,可获得任意２种技术地心坐标不符值的加权中误差,以此作为外符精度。可以看出,ＶＬＢＩ与ＧＰＳ地心坐标三分量的外符精度在１ｃｍ之内,ＳＬＲ与ＶＬＢＩ和ＧＰＳ地心坐标三分量的外符精度在１～３ｃｍ之间。表明ＶＬＢＩ和ＧＰＳ实现的地心坐标精度比ＳＬＲ高一些     

昆明固置流动VLBI站点归心

参考《全球定位系统（GPS）测量规范》之附录G归心元素测定，采用测GPS的方法，对固置在昆明的流动VLBI站进行了归心计算，在得到流动VLBI用GPS技术所测量的地心坐标同时，指出了参考文献[1]中存在的矛盾与错误，并结合实际应用，给出了一组实用的计算公式。     

GPS短边方位角测量精度定量分析研究

为了利用GPS基线处理软件中提供的三个分量的协方差对GPS短边方位精度进行定量估计,将方位边两个点的坐标和基线三个分量的协方差由地心坐标系转换为站心坐标系,根据误差传播定律就可以求出GPS方位边的精度。试验结果表明:该方法能够准确的反应GPS方位边的精度。     

区域性跟踪站地心坐标精化方法及定轨试验分析─中国GIG′91和IGS′92会战数据处理分析

本文介绍了中国GIG’91和Epoch’92二次GPS会战的情况,着重分析了GIG’91和Epoch’92会战数据处理的结果。结果证明,利用1－2星期质量良好的数据（含分布均匀的部分全球跟踪站数据）,解算的未知区域性跟踪站地心坐标的重复性可以达到几个厘米,站间基线分量的重复性可以达到10－8或更好。利用中国国内4个跟踪站的数据,由5天轨道弧解算的卫星星历与全球精密星历之差在1－3米水平,平均差一般小于1米。我们的研究证明,参加GPS国际会战,是迅速提高区域性跟踪站地心坐标精度和建立区域性高精度地心坐标框架的有效途径,利用区域性跟踪站可有效地改进GPS卫星轨道的精度,形成全国范围的大尺度的控制,进一步改进GPS测量的精度。     

相对论框架中的VLBI观测模型

本文以太阳系质心参考系为基础推导了VLBI时延和引力延迟的后牛顿表达式;讨论了各天体对VLBI时延的影响量级及其作用范围;并根据地心参考系与太阳系质心参考系的坐标转换关系,给出了地心参考系中的VLBI观测模型。建议采用(25)式和(16)式作为VLBI时延和引力延迟改正的计算公式。     

卫星VLBI测轨资料处理中的电离层延迟改正

结合我国探月项目卫星VLBI测轨资料分析中的实际需求讨论了两个问题:一是在S、X波段时延测量精度均为1 ns情况下,电离层延迟改正所能够达到的精度;二是在飞行器VLBI测轨过程中,不能确保S、X波段双频观测情况下获取电离层时延改正的可能途径,包括借助于相关电离层模型、利用常规VLBI历史观测资料积累、借助于局域GPS观测网和IGS网单站GPS测量以及借助于专门设计的单站GPS测量等.最后对电离层VLBI和GPS技术实测结果进行了比较和问题分析.     

GPS、SLR、VLBI联合处理站坐标

采用了GPS、VLBI、SLR三种技术的并置站坐标,计算了三种技术实现的参考框架的转换参数,联合处理得到并置站的坐标并与IERS公布的坐标进行了比较。     

Transformation between SLR/VLBI and WGS-84 reference frames

In geodetic and geophysical applications of GPS, it is important to realize the ephemerides of the GPS satellites and the coordinates of station positions in a consistent reference system. At present, more than one reference system is being used by various GPS users depending on their specific applications. The WGS-84 and various reference frames based on satellite laser ranging (SLR), very long baseline interferometry (VLBI), or a combination of SLR and VLBI are the most commonly used in high precision geophysical applications. The WGS-84 is widely used in applications which rely on the GPS broadcast ephemeris. Station coordinates estimated in one system may have to be transformed to another for further use or for evaluation/comparison purposes. This paper presents a seven-parameter transformation between the WGS-84 and SLR/VLBI reference frames. The GPS double-differenced phase measurements for two consecutive weeks from a set of five Defense Mapping Agency (DMA) sites (defined in the WGS-84 frame) and from an augmented set of fifteen CIGNET sites (defined in the SLR/VLBI frame) were processed in a least squares estimation scheme to determine station coordinates, from which the transformation parameters were determined. A scale difference of about 0.2 ppm and an orientation difference in longitude of about 31 milliarcseconds were found to be the only parameters of significance between the adopted SLR/VLBI and the WGS-84 frames. Transformation between WGS-84 and the ITRF90 is also included, in which the scale difference is the same as before but the longitude rotation is about 16 mas.     

The 2008 DGFI realization of the ITRS: DTRF2008

A new realization of the International Terrestrial System was computed at the ITRS Combination Centre at DGFI as a contribution to ITRF2008. The solution is labelled DTRF2008. In the same way as in the DGFI computation for ITRF2005 it is based on either normal equation systems or estimated parameters derived from VLBI, SLR, GPS and DORIS observations by weekly or session-wise processing. The parameter space of the ITRS realization comprises station positions and velocities and daily resolved Earth Orientation Parameters (EOP), whereby for the first time also nutation parameters are included. The advantage of starting from time series of input data is that the temporal behaviour of geophysical parameters can be investigated to decide whether the parameters can contribute to the datum realization of the ITRF. In the same way, a standardized analysis of station position time series can be performed to detect and remove discontinuities. The advantage of including EOP in the ITRS realization is twofold: (1) the combination of the coordinates of the terrestrial pole—estimated from all contributing techniques—links the technique networks in two components of the orientation, leading to an improvement of consistency of the Terrestrial Reference Frame (TRF) and (2) in their capacity as parameters common to all techniques, the terrestrial pole coordinates enhance the selection of local ties as they provide a measure for the consistency of the combined frame. The computation strategy of DGFI is based on the combination of normal equation systems while at the ITRS Combination Centre at IGN solutions are combined. The two independent ITRS realizations provide the possibility to assess the accuracy of ITRF by comparison of the two frames. The accuracy evaluation was done separately for the datum parameters (origin, orientation and scale) and the network geometry. The accuracy of the datum parameters, assessed from the comparison of DTRF2008 and ITRF2008, is between 2–5?mm and 0.1–0.8?mm/year depending on the technique. The network geometry (station positions and velocities) agrees within 3.2?mm and 1.0?mm/year. A comparison of DTRF2008 and ITRF2005 provides similar results for the datum parameters, but there are larger differences for the network geometry. The internal accuracy of DTRF2008—that means the level of conservation of datum information and network geometry within the combination—was derived from comparisons with the technique-only multi-year solutions. From this an internal accuracy of 0.32?mm for the VLBI up to 3.3?mm for the DORIS part of the network is found. The internal accuracy of velocities ranges from 0.05?mm/year for VLBI to 0.83?mm/year for DORIS. The internal consistency of DTRF2008 for orientation can be derived from the analysis of the terrestrial pole coordinates. It is estimated at 1.5–2.5?mm for the GPS, VLBI and SLR parts of the network. The consistency of these three and the DORIS network part is within 6.5?mm.     

Analysis of the EUREF-89 GPS data from the SLR/VLBI sites

In May 1989, the IAG Subcommission for the European Reference Frame organized a GPS measurement campaign, called EUREF-89, to establish a common European Reference Frame. During a 2-week period various types of GPS receivers were deployed at about 100 different locations in Europe, which included many national geodetic first order points and most of the well-known SLR and VLBI sites. In this study, the measurements from those SLR and VLBI sites, and three additional points in The Netherlands, have been analyzed adopting a fiducial network approach. In the first place, the study provided valuable experience in the use of the GIPSY software for the analysis of GPS data from large networks equipped with a mixture of receiver types. Furthermore, this analysis represents an independent check of the SLR/VLBI network, used as the reference frame for the official EUREF solution. Daily solutions of baselines up to 2500 km in length have been obtained with a repeatability of 0.5–2.0 parts in 10⁸, while the agreement with SLR results is at about the same level. The accuracy of the estimated coordinates is at a level of about 4.0 cm in the horizontal and 6.0 cm in the vertical direction. Of particular interest are the results for some baselines in Greece, which have also been measured by mobile SLR in the framework of the WEGENER/MEDLAS project. The GPS results seem to confirm the trends in the baseline length changes emerging from those SLR studies.     

Geodetic VLBI with an artificial radio source on the Moon: a simulation study

We perform extensive simulations in order to assess the accuracy with which the position of a radio transmitter on the surface of the Moon can be determined by geodetic VLBI. We study how the quality and quantity of geodetic VLBI observations influence these position estimates and investigate how observations of such near-field objects affect classical geodetic parameters like VLBI station coordinates and Earth rotation parameters. Our studies are based on today’s global geodetic VLBI schedules as well as on those designed for the next-generation geodetic VLBI system. We use Monte Carlo simulations including realistic stochastic models of troposphere, station clocks, and observational noise. Our results indicate that it is possible to position a radio transmitter on the Moon using today’s geodetic VLBI with a two-dimensional horizontal accuracy of better than one meter. Moreover, we show that the next-generation geodetic VLBI has the potential to improve the two-dimensional accuracy to better than 5 cm. Thus, our results lay the base for novel observing concepts to improve both lunar research and geodetic VLBI.     

Evaluation of co-location ties relating the VLBI and GPS reference frames

We have compared the VLBI and GPS terrestrial reference frames, realized using 5 years of time-series observations of station positions and polar motion, with surveyed co-location tie vectors for 25 sites. The goal was to assess the overall quality of the ties and to determine whether a subset of co-location sites might be found with VLBI–GPS ties that are self-consistent within a few millimeters. Our procedure was designed to guard against internal distortion of the two space-geodetic networks and takes advantage of the reduction in tie information needed with the time-series combination method by using the very strong contribution due to co-location of the daily pole of rotation. The general quality of the available ties is somewhat discouraging in that most have residuals, compared to the space-geodetic frames, at the level of 1–2 cm. However, by a careful selection process, we have identified a subset of nine local VLBI–GPS ties that are consistent with each other and with space geodesy to better than 4 mm (RMS) in each component. While certainly promising, it is not possible to confidently assess the reliability of this particular subset without new information to verify the absolute accuracy of at least a few of the highest-quality ties. Particular care must be taken to demonstrate that possible systematic errors within the VLBI and GPS systems have been properly accounted for. A minimum of two (preferably three or four) ties must be measured with accuracies of 1 mm or better in each component, including any potential systematic effects. If this can be done, then the VLBI and GPS frames can be globally aligned to less than 1 mm in each Helmert component using our subset of nine ties. In any case, the X and Y rotations are better determined, to about 0.5 mm, due to the contribution of co-located polar motion.     

用神经网络方法转换GPS高程

本文提出用神经网络方法转换ＧＰＳ高程为正高或正常高,给出一种改进了的ＢＰ神经网络拓扑结构和算法,并用ＧＰＳ的实际定位资料构成４３个样本集作了在计算分析,估算的精度达到厘米级、最后用网络方法与二次多项式曲面拟合大地水准面转换ＧＰＳ高程的方法作了比较,神经网络方法的精度优于二次多项式曲面拟合法,而且精度比较稳定,对已知样本点的数量要求较少。     

Mapping GPS positional errors using spatial linear mixed models

Nowadays, GPS receivers are very reliable because of their good accuracy and precision; however, uncertainty is also inherent in geospatial data. Quality of GPS measurements can be influenced by atmospheric disturbances, multipathing, synchronization of clocks, satellite geometry, geographical features of the observed region, low broadcasting coverage, inadequate transmitting formats, or human or instrumental unknown errors. Assuming that the scenario and technical conditions that can influence the quality of GPS measurements are optimal, that functional and stochastic models that process the signals to a geodetic measurement are correct, and that all the GPS observables are taken in the same conditions, it is still possible to estimate the positional errors as the difference between the real coordinates and those measured by the GPS. In this paper, three spatial linear mixed models, one for each axis, are used for modelling real-time kinematic GPS accuracy and precision, of a multiple-reference-station network in dual-frequency with carrier phase measurements. Along the paper, the proposed models provide an estimate of the “accuracy” in terms of bias defined as the difference between real coordinates and measured coordinates after being processed and “precision” through the standard errors of the estimated differences. This is done using ten different transmitting formats. Mapping and quantifying these differences can be interesting for users and GPS professionals. The performance of these models is illustrated by mapping positional error estimates within the whole region of Navarre, Spain. Sampled data have been taken in 54 out of the 211 geodetic vertex points of this region. Maps show interesting error patterns depending on transmitting formats, the different axes, and the geographical characteristics of the region. Higher differences are found in regions with bad broadcasting coverage, due to the presence of mountains and high degree of humidity.     

Short note: Crustal deformation in the key stone network detected by satellite laser ranging

The paper presents the results of crustal deformation, as evidenced by changed station coordinates, in the Tokyo metropolitan area detected by the satellite laser ranging (SLR) technique. The coordinates of two Key Stone SLR stations, Tateyama and Kashima, were determined from 4 weeks of orbital arcs of the LAGEOS-1 and LAGEOS-2 satellites with respect to 16 SLR stations kept fixed in the ITRF2000 reference frame. The station coordinates were calculated using the NASA GEODYN-II orbital program. The orbital RMS-of-fit for both satellites was 16 mm. The standard deviation of the estimated positions was 3 mm. A jump of about 5 cm in the baseline length between the Kashima and Tateyama stations was detected in June–August 2000 by VLBI and GPS techniques. This work confirms this crustal deformation as determined by SLR and vice versa. Analysis of coordinates of these stations shows that this effect was caused by a 4.5-cm displacement of the Tateyama station in the north-east direction. The change in the vertical component was not significant.