Measuring rapid variations in Earth orientation,geocenter and crust with satellite laser ranging

This analysis was performed with the GEOSAT software developed at NDRE for high-precision analysis of satellite tracking and VLBI data for geodetic and geodynamic applications. To determine the amplitudes of the tidally coherent daily and sub-daily variations in the Earth's orientation, geocenter, and crust, we have analyzed twelve months of SLR tracking data from the LAGEOS I & II and ETALON I & II satellites, obtained between October 1992 and September 1993. Station coordinates and mean geocenter are determined with an accuracy of 1 to 2 cm. Amplitudes of diurnal and semidiurnal variations in UT1, polar motion, and geocenter are determined with a precision of ~2µts, ~20µas, and 1–3 mm in each component. It is demonstrated that it is possible to determine a one-year continuous high-precision series in UT1 using multi-satellite laser ranging.     

Precise ERS-2 orbit determination using SLR, PRARE, and RA observations

The second European Remote Sensing satellite ERS-2, launched in 1995, is supported by satellite laser ranging (SLR), the German precise range and range-rate equipment (PRARE) microwave tracking system, and radar altimetry (RA). SLR, PRARE and crossover RA observations (XO/RA) from May, June, and July 1996 have been analyzed using the GEOSAT software developed at Forsvarets forskningsinstitutt (FFI, The Norwegian defence research establishment). Orbits computed with the JGM3 gravity model and the more recent EGM96 gravity model have been compared with orbits from other analysis centers. Based on these comparisons in addition to the post-fit observation residuals, and results from internal orbital overlaps, we conclude that the radial component of the ERS-2 orbit can be determined with a precision of 6 cm. Received: 30 June 1997 / Accepted: 4 February 1998     

A test of GEM T2 from GEOSAT crossovers using latitude lumped coefficients

Summary New Latitude Lumped Coefficients (LLC) of a geopotential model are defined as representing the principal differences of the radial distance to a satellite due to the model at single-orbit crossovers in an Exact Repeat Mission. In contrast with previously defined orbital lumped coefficients, the LLC here are dependent only on the geopotential order (without degree distinction) and the latitude. We examine discrepancies in altimetrically determined sea surface heights at over 30000 crossover positions of GEOSAT during its ERM, 1986–1989, after removal of many variable media and surface effects (Cheney et al., 1991) as well as initial condition orbit error. The mean of these discrepancies along well represented latitude bands in the southern hemisphere are used to determine the LLC errors for Goddard Earth Model T2, which was the reference for the GEOSAT sea surface heights. GEM T2 was derived from satelliteonly tracking data with good representation of the GEOSAT orbit. Relating the measured LLC discrepancies to projections of commission error from the GEM T2 variance-covariance matrix, we find that — except for order 3 — GEM T2's performance is as expected. This test represents the first spectral calibration of a gravity model with independent, purely radial orbit data.     

Precise ERS-1 orbit calculation

This analysis was performed with the GEOSAT software developed at NDRE for high-precision analysis of satellite tracking and VLBI data for geodetic and geodynamic applications.For applications to ERS-1, a realistic surface force model is used together with the Jacchia 77 atmospheric model, semi-daily drag coefficients, a 1-cpr sinusoidal along-track acceleration, and the GSFC JGM-2 gravity model. ERS-1 orbits have been derived for 5.5-day arcs of laser tracking data between July 6 and August 12, 1992. Results from overlapping orbits and comparison with precise D-PAF orbits indicate an orbital accuracy of 10–15 cm in the radial direction, ~ 60 cm in the along-track direction and ~ 15 cm in the cross-track direction.     

基于GNSS的CGCS2000数据处理技术综述

2000国家大地坐标系（CGCS2000）发布后的推广使用不仅涉及大量参心坐标系下的成果转换,同时也涉及基于全球导航卫星系统（Global Navigation Satellite System,GNSS）手段获得的点位坐标的归算。获取GNSS观测数据和将其归算到CGCS2000采用的策略方法不同,如参考站选择原则不同,整网平差前的分区方案不同以及采用不同的方法将位置从当前历元改正到CGCS2000等,将会使最终的CGCS2000系下的坐标差异较大,最大可达到分米级。造成这种结果的原因在于GNSS数据处理的多个环节中依赖数据处理软件操作者的理解,存在人为的选择,换言之,GNSS数据处理缺乏科学的规则为依据。鉴于此,采用一种统计方法,即监督聚类作为参考站选择规则;采用间距分区法进行区域划分;并用板块运动归算方法将当前历元位置改正到CGCS2000。其中基于间距分区方案的站坐标解算精度优于区域划分方案,三维方向的坐标精度优于2 mm。通过以上方案设计,X、Y、Z方向上的速度从0.92、0.72、0.97 mm/a分别降至0.19、0.45、0.32 mm/a,优化和改进了CGCS2000框架维持精度。     

GPS在线数据处理软件的精度分析

对3种有代表性的GPS在线数据处理软件的解算精度进行了分析与比较,得出如下结论:1)用1h的数据量,AUSPOS的精度为cm级,而SCOUT和CSRS-PPP的精度为dm级;2)数据量在2～6h之间,3种软件的精度都可达到cm级;3)数据量在6h以后,AUSPOS和SCOUT的精度均可达到mm级,但CSRS-PPP的精度仍为cm级。研究结果对实际工作有一定的参考价值。     

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.     

随机模型对解算西安流动SLR站坐标的影响

合理的参数估计及精度评定不仅需要可靠的函数模型,而且需要正确的随机模型。从权函数和粗差编辑两方面,研究了不同随机模型对西安流动卫星激光测距（satellite laser ranging,SLR）站坐标解算的影响,采用全球Lageos-1卫星观测数据计算了西安流动SLR站坐标。计算结果表明:①西安流动SLR站的观测精度和坐标解算精度均达到厘米级。②随机模型直接影响SLR站坐标的解算结果及可靠性;对于相同的计算弧段,抗差方差分量估计得到的站坐标精度最高、结果最稳定,残差加权均方差最小,观测资料利用率也最高;对于相同的计算方案,采用的SLR数据越多,坐标估计精度越高。     

A preliminary error analysis of the gravity field recovery from a lunar Satellite-to-Satellite mission

Summary A low cost lunar Satellite-to-Satellite radio tracking mission in a low-low configuration could considerably improve the existing knowledge about the lunar gravity field. The impact of various mission parameters that may contribute to the recovery of the gravity field, such as satellite altitude, satellite separation, mission duration, measurement precision and sampling interval were quantified using the Jekeli-Rapp algorithm. Preliminary results indicate that the gravity field resolution up to harmonic degree 40 to 80 is feasible depending on various mission configurations. Radio tracking data from a six-month mission with a precision of 1 mm s^–1 every 10 s and 300 km satellite separation at 150 km altitude will permit the determination of 5^o×5^o mean gravity anomalies with an error of approximately 15 mgals. Consideration of other unaccounted error sources of instrumental, operational as well as environmental nature may lower this resolution.     

小波分析在垂向海潮特征信息去噪研究

目前国内外许多学者利用沿海GPS站点的高精度坐标时间序列进行海潮特征信息的提取研究,已取得一定成果,但高精度坐标时间序列中不可避免地存在许多噪声,极大影响海潮特征信息的提取。基于日本GMSD站的67d的高精度PPP坐标时间序列,利用小波分析进行去噪实验,经FFT变换后,将提取的结果与FES2004海潮模型的特征值比较。实验结果表明:经小波分析后,GPS站点的时间序列精度得到提高;经小波去噪后的反演精度均有不同程度的提高,最多达到0.14mm,而海潮特征值的量级为厘米级或者亚厘米级,说明小波分析对海潮特征值的提取精度有明显提高。     

VLBI data analysis with the GEOSAT software

The GEOSAT software for satellite geodetic and geodynamics applications has lately been extended to Very Long Baseline Interferometry (VLBI) applications. Geodetic VLBI data have been analyzed using this software and station coordinates and velocities, source coordinates, and earth orientation parameters have been derived in a global mode using data from the Extended Research and Development Experiment (ERDE) and the Research and Development series (R&D) within the NASA's CDP.It is demonstrated using the ERDE data, that the program is capable of calculating station coordinates with an accuracy of a few mm in the local horizontal plane and about 7 mm in the vertical direction. Analysis of the R&D dataset yields errors 2 to 3 times higher in all directions.     

基于GAMIT10.61的高精度GPS／BDS数据处理及精度对比分析

本文利用GAMIT10.61软件对重庆8个CORS站GPS数据和BDS数据进行处理,并从基线重复性、单日解时间序列、联合解平差等三个方面对GPS和BDS解算结果进行对比分析.结果表明,GPS解算结果整体优于BDS,且单BDS解与单GPS解在水平方向差值小于0.7 cm,高程方向差值在1～3 cm;基于GAMIT 10.61的BDS基线解算重复性在南北方向上1.39 mm+0.205 mm×10?-8 ,东西方向上为3.10 mm+0.252×10-8 ,高程方向上为7.81 mm+2.001×10-8,基线长度方向上2.13 mm+0.384×10-8,解算精度能满足高精度数据处理要求.      

几个能量法获取地球重力场模型的关键技术分析

介绍了能量法恢复地球重力场的基本原理,并分别给出了在笛卡尔坐标空间、极坐标空间内的能量守恒公式,探讨了能量常数精度、计算方式与地球重力场反演精度的关系,并通过数值试验进行了计算分析。计算结果表明:对于低轨卫星,在不同坐标空间内转换引起的轨道误差为10-10m量级,对恢复地球重力场模型的阶误差RMS为10-21量级,可以忽略不计;为了获取厘米级的大地水准面,在解算过程中应该将扰动位期望为零时对应的估值作为能量常数初始估计值,将其残差作为未知数一并求解,且能量常数误差应优于0.1 m2s2。     

Ocean tides from T/P, ERS-1, and GEOSAT altimetry

 Aliasing of the diurnal and semi-diurnal tides is a major problem when estimating the ocean tides from satellite altimetry. As a result of aliasing, the tides become correlated and many years of altimeter observations may be needed to seperate them. For the three major satellite altimetry missions to date i.e., GEOSAT, ERS-1, and TOPEX/POSEIDON (T/P), the alias periods as well as the Rayleigh periods over which the tides decorrelate can be identified. Especially in case of GEOSAT and ERS-1, severe correlation problems arise. However, it is shown by means of covariance analyses that the tidal phase advance differences on crossing satellite groundtracks can significantly reduce the correlations among the diurnal and semi-diurnal tides and among these tides and the seasonal cycles of ocean variability. Therefore, it has been attempted to solve a multi-satellite response tidal solution for the diurnal and semi-diurnal bands from a total of 7 years of altimetry. Unfortunately, it could be shown that the GEOSAT and ERS-1 orbit errors are too large to improve a 3-year T/P tidal solution with about 2 years of GEOSAT and 2 years of ERS-1 altimeter observations. However, these results are preliminary and it is expected that more accurate orbits, which have become available recently for ERS-1, and additional altimeter data from ERS-2 and the GEOSAT Follow-On (GFO) should lead to an improved T/P tidal model. Received: 4 May 1999 / Accepted: 24 January 2000     

顾及系统参数的GNSS基线网平差及软件设计

针对使用GNSS技术获取高精度的CGCS2000坐标网平差理论与程序优化设计问题,笔者详细地阐述了基于GAMIT/GLOBK软件的独立基线提取、随机模型生成、系统参数与误差模型、基线粗差处理、程序运行效率等功能开发了网平差软件,采用我国东北部某区域连续运行基准站数据与GLOBK结果比对分析,结果表明:软件模型准确、平差结果可靠、计算效率快,可满足高精度网平差要求。     

全站仪三维坐标法在桥梁施工测量中的应用

尽管全站仪三维坐标法已在工程测量领域得到广泛采用,但其测量精度及其影响因素还需要深入分析,使之能合理地应用于具体工程。推导了三维坐标的精度计算公式,分析了测量精度的影响因素,针对特定的测量仪器、测量条件和大气折光误差,计算和分析了测点所能达到的精度,阐明了控制和提高测量精度的措施。将该方法应用于苏通大桥墩塔基础施工测量,根据具体的测量仪器和环境条件等,计算测点的点位中误差和高程中误差分别为±5.9mm和±6.9mm,其精度完全满足施工测量的限差要求,表明测量结果具有较高的精度和可信度。     

GAMIT、GIPSY和BERNESE软件解算结果的比较研究

采用东亚地区13个GPS点2002年84天的观测资料,分别利用GAMFI、BERNESE以及GIPSY三种软件进行解算,并对这三种结果进行了比较分析。结果显示：在解算方案一致的情况下,三种软件的坐标结果分别存在着厘米和毫米级的差异。导致毫米级差异的原因是算法本身的有些不同,而导致厘米级的差异则是因为实现统一参考框架方法的差异。     

利用北斗系统建立和维持国家大地坐标参考框架的方法研究

2000中国大地坐标系统（China Geodetic Coordinate System 2000,CGCS2000）的建立和维持主要依赖于GPS技术,不利于保障国家时空信息安全。中国北斗卫星导航系统（BeiDou navigation satellite system,BDS）提供亚太区域服务,可满足中国及周边地区高精度定位导航应用需求,对建立和维持国家大地坐标参考框架具有重要意义。研究利用已建成的北斗基准站网观测数据,实现基于BDS技术、并与国际地球参考框架（International Terrestrial Reference Frame,ITRF）一致的国家大地坐标参考框架,为今后国家级和全球性北斗坐标参考框架（BeiDou Terrestrial Reference Frame,BTRF）的建立和维持提供理论基础和方法支撑。初步计算结果表明,积累2 a以上的观测数据,利用单独BDS数据可以获得与GPS精度相当的水平速度场,精度约为2~3 mm/a。基于单独BDS数据,测站残差平面和高程的重复性分别可优于0.8 cm和1.7 cm。利用BDS数据已可监测到测站高程方向的季节性变化。此外,还对单独BDS与GPS数据计算的坐标可能存在的与经纬度相关的系统误差进行了分析。总体来说,目前的北斗系统可满足建立和维持中国cm级大地坐标框架的需求。     

北斗应用于高铁CPI控制测量的算法与试验研究

针对高速铁路CPI控制网,对北斗/GPS系统的单独与联合基线解算模型进行研究,开发北斗/GPS基线处理软件,并应用于高铁控制网建设。对川藏铁路成都-雅安段CPI控制网测试的结果表明:北斗基线解算精度X,Z方向优于1mm,Y方向优于2mm;北斗重复基线较差、同步环和异步环闭合差的合格率与GPS相当;北斗无约束平差最弱边相对中误差为3.1ppm,精度与GPS基本一致;北斗CPI控制网测试各项指标均满足《高速铁路工程测量规范》要求,可用于高速铁路测量控制网的建立。     

Stereo-Photogrammetric Mapping of Tooth Replicas Incorporating Texture

Commercial digital photogrammetric software has been applied to convergent stereoscopic photography of human tooth replicas prepared to exhibit optical texture resulting in successful generation of 3D coordinate data. Tooth replicas were imaged using a semi-metric 35 mm camera and f = 100 mm macro lens on extension bellows. Model precision was within acceptable limits of 12  μ m or better for manual target matching and 21  μ m or better for automatic image matching. Further improvement in optical texture is required to achieve automatic image matching precision comparable to that of manual target matching. Small errors in interior orientation parameters attributed to instability in the bellows as well as small errors in the relative orientation resulted in some systematic errors. The use of a fixed camera lens system is expected to reduce these errors. When combined with commercially available, moderately priced, digital SLR cameras this brings 3D model generation closer to everyday clinical dental practice.