数字照相天顶望远镜的测站坐标精度分析

针对利用数字照相天顶望远镜(DZT)测量地球自转参数中确定测站的瞬时天文坐标和国际地球参考架(ITRF)下的精确坐标问题，该文利用国家授时中心2017—2021年在丽江等多个台站的观测样机的长期测量数据，通过对分布在不同位置的多个测站的数据解算，分析了不同测站的坐标测量精度及对UT1测量的精度影响。基于2017—2021年的观测数据，进行DZT测量的精度分析。结果表明：几个测站的长期测量精度相近，天文经度长期测量标准差约为0.05 as,纬度方向为0.03 as,对UT1测量影响小于3.5 ms,该结果可为DZT测量ERP提供精确的初始坐标值。     

BDS与GPS数据解算地球自转参数精度分析北大核心CSCD

针对我国利用BDS数据自主确定地球自转参数(ERP)时,需对其精度进行验证和分析的问题,该文利用我国境内及周边的GPS基准站数据以及MEGX网BDS数据进行ERP解算,对解算结果进行精度对比和分析。解算结果表明:利用BDS数据解算的ERP,在X方向极移和国际地球自转服务(IERS)公布值差值的RMS为0.6576mas,Y方向极移差值的RMS为1.0324mas,UT1-UTC差值的RMS为0.0853ms;利用GPS数据解算ERP,在x方向极移差值的RMS为0.4516mas,Y方向极移差值的RMS为0.5475mas,精度明显比利用BDS数据解算的要高,UT1-UTC差值的RMS为0.2153ms,比利用BDS数据解算的精度差。利用两种技术解算ERP发现极移参数存在明显的系统性误差,而UT1-UTC值不存在明显的系统性误差。结果表明,利用BDS技术确定地球自转参数精度虽然比GPS要差,但较之前成果有了很大提高。     

地球自转参数的RFFLS短期预报算法研究

地球自转参数(ERP)是实现地心天球坐标系(geocentric celestial reference system,GCRS)与国际地球坐标系(international terrestrial reference system,ITRS)相互转换的必要参数,是国际GNSS服务组织(IGS)和国际GNSS监测评估系统(iGMAS)分析中心的重要产品。本文针对最小二乘地球自转参数预测算法会造成数据饱和以及新旧数据在数据处理及预报中被同等对待等问题,将遗忘因子引入最小二乘预测算法,进而提高ERP预报精度。遗忘因子递推最小二乘算法能防止数据饱和,降低旧数据的影响,加强新数据的作用,降低在求解拟合参数时出现秩亏矩阵求逆的几率,提高预报精度。本文详细推导了遗忘因子递推最小二乘表达式,探究了最佳遗忘因子,并通过ERP试验将该方法和原最小二乘的试验结果及LS-AR模型的预报结果作对比,发现仅用遗忘因子最小二乘模型预测就可以达到与LS-AR组合模型预测相当的精度。     

VLBI技术CONT观测的高频ERP解算

国际VLBI测天测地服务机构(IVS)已组织了多次VLBI连续加密观测(CONT),提供了高精度连续的原始观测数据,在地球自转参数(ERP)的连续高频解算中起到积极的作用,揭示了地球自转高频变化的观测资料和理论模型之间的差异,有助于进一步解析其激发机制改进模型.这里使用VLBI资料处理软件系统OCCAM处理了CONT02,CONT05和CONT08数据,并进行ERP高频解算及频谱分析.从各次CONT观测的残差频谱中发现较强周期信号,反映了地球自转的特性.特别是CONT08残差频谱中存在明显的周日项信患,揭示了北半球夏季月份大气激发对地球自转的作用.     

基于SOFA的ITRS与ICRS相互转换方法研究

基础天文标准库(SOFA)是国际地球自转服务(IERS)协议提供的关于地球姿态、时间尺度和历法的一系列程序集;国际地球参考系(ITRS)与国际天球参考系(ICRS)是描述自然天体或人造天体在空间的方向或位置,地面站或运动物体在地球上的位置和运动速度的基础参考系统。本文主要介绍了ITRS与ICRS的发展以及基于SOFA的ITRS与ICRS之间不同的转换方法的实现。     

地球自转参数预报误差对天文测量影响的分析

由于地球自转参数(ERP)的滞后性,目前主要使用国际地球自转和参考服务IERS发布的Bulletin A(简称A公报)预报值进行解算,ERP预报误差对于天文测量的影响目前缺少系统的研究。为此,本文选取IERS 2015—2021近7年A公报的ERP参数对其长期预报及不同时间跨度预报误差分析,并以某站数字天顶望远镜观测结果为例,分析了ERP预报误差对于天文测量的影响。结果表明,随着时间的增加,预报精度越来越差,对于极移参数,1年跨度的预报误差值达到了0.021 as,预报误差对天文经、纬度及方位角的影响分别为0.045 as、0.041 as和0.042 as,完全满足一等天文测量的精度要求;而UT1-UTC预报精度是限制A公报精度的主要因素,60天UT1-UTC的预报误差值已达到了0.007 s,对天文经度的影响达到了0.379 as,已超出一等天文测量的精度要求。为了满足一等天文测量的要求,选取UT1-UTC预报值时,其时间跨度最大为40 d。     

测站数目及分布对地球自转参数解算精度的影响

为研究GPS数据解算地球自转参数(ERP)精度受测站数目及分布均衡性影响规律的问题,该文利用全球国际GNSS服务(IGS)站提供的GPS数据,设置不同测站数、不同测站分布均衡程度的解算策略,通过对比不同策略下ERP解算精度,来研究测站数目和均衡程度对ERP解算过程中的影响规律。结果表明,考虑到解算效率的情况下,测站数目选择40个时能达到最佳效果,此时极移在x方向的RMS值为0.223 081 mas,在y方向的RMS值为0.186 941 mas;对于测站分布均衡性,该文提出用观测网的网重心坐标转换为大地坐标作为评价指标,当网重心越接近地心,解算精度越高。研究成果表明在利用GPS数据解算ERP参数时,选择适当数目的测站以及分布均衡性好的解算策略可以提高解算效率及精度。     

基于VLBI与BDS联合解算ERP的算法研究

利用PANDA软件解算2016年第61~91天的MGEX(Multi-GNSS Experiment)服务站的北斗数据,获得地球自转参数(ERP)。利用VieVS2.2软件处理了同时段的甚长基线干涉测量(VLBI)数据。采用基于IERS 08C04序列的定权方法对BDS和VLBI的解算结果进行加权平均,得到综合的ERP值。结果表明,与IERS比较,极移在X方向差值的RMS为0.249 mas,Y方向差值的RMS为0.296 mas,UT1-UTC差值的RMS为0.053 ms.利用BDS与VLBI数据对ERP参数进行联合解算,弥补了BDS解算结果不稳定和VLBI观测不连续的缺陷,使解算结果的稳定性和可靠性均有所提高。      

地球定向参数测量发展现状和展望

随着我国空间探测工程的快速发展,对地球定向参数(EOP)的精度需求越来越高. 通过对地球定向参数的测量原理进行介绍,以现有的经典光学观测手段、甚长基线干涉测量(VLBI)、全球卫星导航系统(GNSS)、多里斯系统(DORIS)、激光测月(LLR)和卫星激光测距(SLR)等为代表的现代空间大地测量手段对地球定向参数测量原理及特点进行全面的阐述,对地球定向参数的自主测量与服务进行展望,为我国建设自主的地球定向参数测量系统提供理论基础和参考.      

地球自转参数的LS+AR超短期预报方法

地球自转参数（ERP）是卫星精密定轨中联系天球坐标系与地球坐标系的必要参数,是国际GNSS服务组织（IGS）和国际GNSS监测评估系统（iGMAS）分析中心的重要产品。为了提高中国测绘科学研究院分析中心（CGS）的线性模型预报精度,本文研究了最小二乘（LS）和自回归模型（AR）组合的超短期预报最优方法;通过不同周期数据确定最佳预报时长,利用LS+AR模型进行超短期预报,并通过IGS和iGMAS与线性模型产品对比。结果表明：利用8 d（时段）数据进行超短期预报最优;LS+AR模型预报精度明显优于LS模型;LS+AR的超短期预报方法优于分析中心的线性预报方法;EOP的PMX和PMY分量利用时段数据预报、LOD利用天数据预报精度更高。本文超短期预报方法能够提高ERP预报精度,为IGS或iGMAS分析中心的ERP预报提供了一定的参考意义。     

Geodesy and relativity

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.     

On the rotation of the Earth and the terrestrial reference system

The Working Group on the Rotation of the Earth was established in 1978 and developed a programme of international collaboration to Monitor Earth-Rotation and Intercompare the Techniques of observation and analysis (MERIT). The MERIT Short Campaign was held in 1980 to test and develop the organisational arrangements required during the MERIT Main Campaign in 1983–4. The Working Group on the Terrestrial Reference System was established in 1980 to prepare a proposal for the establishment and maintenance of a new Conventional Terrestrial Reference System (COTES) that would be based on the new techniques of space geodesy. The Working Groups collaborated closely and organised two intensive campaigns in 1984 and 1985 that were aimed primarily at determining the relationships between the reference systems of the six different techniques that were used to determine earth-rotation parameters. Observational data were obtained from 35 countries; analyses and intercomparisons of the results were carried out in 7 countries. The Working Groups reviewed the results at the Third MERIT Workshop and recommended that a new International Earth Rotation Service be set up in 1988 and that it be based on the use of very-long-baseline radio interferometry and both satellite and lunar laser ranging.     

Consistent realization of Celestial and Terrestrial Reference Frames

The Celestial Reference System (CRS) is currently realized only by Very Long Baseline Interferometry (VLBI) because it is the space geodetic technique that enables observations in that frame. In contrast, the Terrestrial Reference System (TRS) is realized by means of the combination of four space geodetic techniques: Global Navigation Satellite System (GNSS), VLBI, Satellite Laser Ranging (SLR), and Doppler Orbitography and Radiopositioning Integrated by Satellite. The Earth orientation parameters (EOP) are the link between the two types of systems, CRS and TRS. The EOP series of the International Earth Rotation and Reference Systems Service were combined of specifically selected series from various analysis centers. Other EOP series were generated by a simultaneous estimation together with the TRF while the CRF was fixed. Those computation approaches entail inherent inconsistencies between TRF, EOP, and CRF, also because the input data sets are different. A combined normal equation (NEQ) system, which consists of all the parameters, i.e., TRF, EOP, and CRF, would overcome such an inconsistency. In this paper, we simultaneously estimate TRF, EOP, and CRF from an inter-technique combined NEQ using the latest GNSS, VLBI, and SLR data (2005–2015). The results show that the selection of local ties is most critical to the TRF. The combination of pole coordinates is beneficial for the CRF, whereas the combination of \(\varDelta \hbox {UT1}\) results in clear rotations of the estimated CRF. However, the standard deviations of the EOP and the CRF improve by the inter-technique combination which indicates the benefits of a common estimation of all parameters. It became evident that the common determination of TRF, EOP, and CRF systematically influences future ICRF computations at the level of several \(\upmu \)as. Moreover, the CRF is influenced by up to \(50~\upmu \)as if the station coordinates and EOP are dominated by the satellite techniques.     

Length-of-day and space-geodetic determination of the Earth’s variable gravity field

The temporal variations of the Earth’s gravity field, nowadays routinely determined from satellite laser ranging (SLR) and GRACE (Gravity Recovery And Climate Experiment), are related to changes in the Earth’s rotation rate through the Earth’s inertia tensor. We study this connection from actual data by comparing the traditional length-of-day (LOD) measurements provided by the International Earth Rotation and Reference Systems Service (IERS) to the variations of the degree-2 and order-0 Stokes coefficient of the gravity field determined from fitting the orbits of the LAGEOS-1 and −2 satellites since 1985. The two series show a good correlation (0.62) and similar annual and semi-annual signals, indicating that the gravity-field-derived LOD is valuable. Our analysis also provides evidence for additional signals common to both series, especially at a period near 120 days, which could be due to hydrological effects.     

REMOTE SENSING AND SATELLITE NAVIGATION: COMPLEMENTARY TOOLS OF SPACE TECHNOLOGY

The methods of remote sensing techniques are reviewed with respect to their requirements for position and direction measurement. It is shown that there exist, or will exist in the near future, navigational satellite techniques which can offer extremely valuable performances. In particular the Global Positioning System (GPS) will be used for photogrammetry and remote sensing. Other tracking techniques which are complementary to GPS, such as precise range and range rate equipment (PRARE), will also be used in the future. This could improve GPS performance considerably, if integrated into the GPS satellite as a secondary ranging system.     

一种附加边界约束和内约束的多中心ERP融合模型

不同技术、不同分析中心得到的地球自转参数（Earth rotation parameters,ERP）往往是不同的,为提供统一的ERP供用户使用,常需对ERP进行融合处理。提出了一种基于多分析中心ERP结果的附加边界约束和内约束融合模型,即先通过参数变换把各分析中心结果转换到相同时刻,考虑到相邻观测时段边界点处ERP应当一致这一特点,施加边界约束,然后对各分析中心的长期解施加转换参数内约束,最后得到多分析中心ERP的融合解。采用从2005—2011年共6 a的7个全球卫星导航系统（Global Navigation Satellite System,GNSS）分析中心的结果进行融合处理,并与IERS C04（International Earth Rotation and Reference Systems ServiceCombined 04）结果进行比较。结果表明,所提出的融合方法计算结果的精度有明显改善。     

Investigation of tidal effects in lunar laser ranging

 The analysis of lunar laser ranging (LLR) data enables the determination of many parameters of the Earth–Moon system, such as lunar gravity coefficients, reflector and station coordinates which contribute to the realisation of the International Terrestrial Reference Frame 2000 (ITRF 2000), Earth orientation parameters [EOPs, which contribute to the global EOP solutions at the International Earth Rotation Service (IERS)] or quantities which parameterise relativistic effects in the solar system. The big advantage of LLR is the long time span of lunar observations (1970–2000). The accuracy of the normal points nowadays is about 1 cm.  The capability of LLR to determine tidal parameters is investigated. In principle, it could be assumed that LLR would contribute greatly to the investigation of tidal effects, because the Moon is the most important tide-generating body. In this respect some special topics such as treatment of the permanent tide and the effect of atmospheric loading are addressed and results for the tidal parameters h ₂ and l ₂ as well as values for the eight main tides are given. Received: 14 August 2000 / Accepted: 15 October 2001     

Surveying co-located space-geodetic instruments for ITRF computation

A new and comprehensive method is presented that can be used for estimating eccentricity vectors between global positioning system (GPS) antennas, doppler orbitography and radiopositioning integrated by satellites (DORIS) antennas, azimuth-elevation (AZ-EL) very long baseline interferometry (VLBI) telescopes, and satellite laser ranging (SLR) and lunar laser ranging (LLR) telescopes. The problem of reference point (RP) definition for these space-geodetic instruments is addressed and computed using terrestrial triangulation and electronic distance measurement (EDM) trilateration. The practical ground operations, the surveying approach and the terrestrial data processing are briefly illustrated, and the post-processing procedure is discussed. It is a geometrically based analytical approach that allows computation of RPs along with a rigorous statistical treatment of measurements. The tight connection between the geometrical model and the surveying procedure is emphasized. The computation of the eccentricity vector and the associated variance–covariance matrix between an AZ-EL VLBI telescope (with or without intersecting axes) and a GPS choke ring antenna is concentrated upon, since these are fundamental for computing the International Terrestrial Reference Frame (ITRF). An extension to RP computation and eccentricity vectors involving DORIS, SLR and LLR techniques is also presented. Numerical examples of the quality that can be reached using the authors approach are given. Working data sets were acquired in the years 2001 and 2002 at the radioastronomical observatory of Medicina (Italy), and have been used to estimate two VLBI-GPS eccentricity vectors and the corresponding SINEX files.