The results of the third geodetic campaign in the local geodynamic test area of the MAO NAS of Ukraine

The high-precision coordinates of reference (reduction) points of stations located in the geodynamic area of the MAO NAS of Ukraine were determined in the local topocentric coordinate system. The local geodetic ties (eccentricities) between the reference points of the GPS station “Kiev/Goloseev” and satellite laser location station “Goloseev-Kiev” that are equal to 100.2358 m, ?11.0398 m, ?85.8256 m on the X, Y, Z axes, respectively, were obtained in the ITRF97 system as of the epoch 1997.0. The coordinates of the reference point of the station “Goloseev-Kiev” were determined in the ITRF97 system as of the epoch 1997.0 by adding local geodetic ties to the coordinates of the reference point of the GPS station “Kiev/Goloseev.” They were compared with the estimates of the coordinates of these stations obtained by the methods of cosmic geodesy and geodynamics. The local deformations of the geodynamic area that took place in the 1997–2006 period were estimated and the conclusion was made about the existence of certain trends with respect to the local displacements of the points of the geodynamic area of the MAO NAS of Ukraine.     

Some results of geodetic referring of the radio telescope and SLR stations to GPS markers in the Crimean geodynamical test area Simeiz-Katsyveli

Positions of space-geodetic instruments are calculated in the International Terrestrial Reference Frame (ITRF2000) by referring the instrument reference points to the local geodetic network and GPS markers. The eccentricities of the SLR stations CrAO and CLO and the permanent GPS station CrAO with respect to the reference point of the radio telescope RT-22 are determined. The local relative deformations of the Earth’s surface are presented as shifts of the instrument reference points with respect to the nearest points of the local geodetic network and with respect to each other.     

上海天文台新SLR站精密定位和归心测量

为使上海天文台新SLR站尽早投入全球SLR网的运行,根据中国SLR网的有关要求,对该站进行了精密定位和归心测量。测量中安置了特制的对中滑块设备,在小范围内采用三角测量的高差替代大地高差的近似,取得了较好的效果。测量结果表明:上海天文台新SLR站相对于上海IGS站归心测量精度可优于5 mm,由上海IGS站引得的点位精度可优于10 mm。     

以基线长度变化率为约束估算VLBI站的垂直形变率

基于NNR-NUVEL-1A地球板块运动模型和ITRF2000地球参考架的三维VLBI站速度矢量,采用实测的VLBI基线长度变化率作为约束,重新估计了部分国际VLBI站的局部或区域性地壳的垂直形变,并与国际地球参考架ITRFs解和VLBI全球解GLB2003,VTRF2003和VTRF2005的结果进行了比较。结果表明,欧亚板块的URUMQI站和太平洋板块的KWAJAL26站,南极OHIGGINS站的垂直形变率、ITRFs解和VLBI全球解存在6-15mm/a的差异,北美YUMA站可能有15-31mm/a 的垂直形变率,而美国西部太平洋板块的San Francisco(PRESIDIO)站的垂直形变率还有待进一步的研究。此外,SC-VLBA,CRIMEA和EFLSBERG站的垂直形变率、ITRFs解和VLBI全球解的差约为1-6mm/a。用不同方法得到的VLBI站的水平形变率解有较好的一致性。     

On the errors and stability of reference frames

The distribution of systematic errors in the coordinates of 1217 extragalactic radio sources included in the latest version of the ICRF2 (International Celestial Reference Frame) reference catalog has been mapped for the first time by processing VLBI observations from international astrometric and geodetic programs spanning the period 1980–2012. These errors are shown to reach ±1.0 mas (milliarcseconds). However, for a sample of 752 sources observed more than 100 times, these errors do not exceed ±0.2 mas, suggesting that ICRF2 is inhomogeneous. In addition, the individual stability of dozens of extragalactic radio sources and ground-based stations included in the latest version of the International Terrestrial Reference Frame, ITRF2005, has been investigated. Significant linear trends and anomalous shifts reaching ±20 µas (microarcseconds) have been detected for many of the sources. Significant systematic shifts have also been found for some of the reference stations. The results obtained stimulate a search for new methods of analyzing VLBI observations and ways of their global adjustment that would provide greater homogeneity and stability of the ICRF and ITRF. This is needed both to increase the accuracy of determining the astrometric, geodetic, and geodynamic parameters derived from these observations and to facilitate their physical interpretation. The work has been performed with the QUASAR multifunction software package developed at the Institute of Applied Astronomy of the Russian Academy of Sciences.     

Weekly inter-technique combination of SLR,VLBI,GPS and DORIS at the solution level

Constructing and maintaining a stable terrestrial reference frame(TRF) is one of the key objectives of fundamental astronomy and geodesy. The datum realization for all the global TRF versions,such as ITRF2014 and its predecessor ITRF2008, assumes linear time evolution for transformation parameters and then imposes some conditions on these Helmert transformation parameters. In this paper,we investigate a new approach, which is based on weekly estimation of station positions and Helmert transformation parameters from a combination of the solutions of four space-geodetic techniques, i.e.,Satellite Laser Ranging(SLR), Very Long Baseline Interferometry(VLBI), Global Positioning System(GPS) and Doppler Orbitography and Radiopositioning Integrated by Satellite(DORIS). For this study,an interval of one week is chosen because the arc length of the SLR solutions is seven days. The major advantage of this weekly estimated reference frame is that both the non-linear station motions and the non-linear origin motion are implicitly taken into account. In order to study the non-linear behavior of station motions and physical parameters, ITRF2008 is used as a reference. As for datum definition of weekly reference frame, on one hand SLR is the unique technique to realize the origin and determine the scale together with VLBI, and on the other hand the orientation is realized via no net rotation with respect to ITRF2005 on a subset of core stations. Given the fact that without enough collocations an inter-technique combined TRF could not exist, the selection and relative weight of local ties surveyed at co-location sites are critical issues. To get stable results, we first assume that, if there were no events such as equipment changes between the measurement epoch of the local tie and that of the spacegeodetic solution, the relative position between the two co-located stations should be invariant and this local tie could be used for computing the inter-technique combined reference frame in those weeks during the stable period of this tie. The resulting time series of both station positions and transformation parameters are studied in detail and are compared with ITRF2008. The residual station positions in the weekly combined reference frame are usually in the range of two millimeters without any periodic characteristic, but the residual station positions, when subtracting the regularized station position in ITRF2008, may reach a magnitude of a few centimeters and seem to have a significant annual signal.The physical parameter series between the weekly reference frame and ITRF2008 also show the obvious existence of an annual signal and reach a magnitude of one centimeter for origin motion and two parts per billion(ppb) for scale.     

乌鲁木齐天文站南山GPS跟踪站的地心坐标精确测定

利用GAMIT软件 ,采用有基准算法对乌鲁木齐南山观测基地新建GPS跟踪站GUAO的观测资料进行了归算 ,结果表明该站观测资料的质量是可靠的 ,并首次获得了该站在ITRF2 0 0 0中毫米级精度的地心坐标     

无先验基准方法在SLR资料处理中的应用

SLR（satellite Laser Ranging)资料处理一般来说总是由各SLR测站构成的从标框架里进行。为了克服在SLR资料处理过程中对坐标框架的重复定义，利用全球1999年1月到12月的LAGEOS-1的SLR资料以无先验基准方法解算EOP（Earth Orientation Parameters）和所有SLR站的坐标的试验。在SLR资料处理中用无先验基准方法与GPS（Glaobal Positioning System)的不太一样，由于SLR的资料不能把SLR观测站连结成非常牢固的空间多面体（GPS的资料在每一瞬间可以拟测站联成一完整的空间多面体），因此需要加一些约束，以避免法方程出现秩亏。解得的测站从标用7参数转换到ITRF97坐标系，rms为1.3cm。EOP与IERS的eopc04序列相比，Xp、Yp、的rms分别为0.37mas、0.30mas，LOD（Length Of Day)的rmas为0.019ms。     

Determination of the regional deformation rates of Shanghai and Kashima VLBI stations based on ITRF97

The vertical deformation rates (VDRs) and horizontal deformation rates (HDRs) of Shanghai VLBI station in China and Kashima and Kashima34 VLBI stations in Japan were re-analysed using the baseline length change rates from Shanghai to 13 global VLBI stations, and from Kashima to 27 stations and from Kashima34 to 12 stations, based on the NASA VLBI global solution glb1123 (Ma, 1999). The velocity vectors of the global VLBI stations were referred to the ITRF97 reference frame, and the Eulerian vectors of different models of plate motion were used for comparative solutions. The VDR of Shanghai station is estimated to be −1.91±0.56 mm/yr, and those of Kashima and Kashima34 stations, −3.72±0.74mm/yr and −8.81±0.84mm/yr, respectively. The difference between the last two was verified by further analysis. Similar estimates were also made for the Kokee, Kauai and MK_VLBA VLBI stations in mid-Pacific.     

Accurate Analytical Calculation of Effects of Rorations of the Central Planet on a Staellite's Orbit

Satellite orbital perturbations due to many rotations of the planet-fixed reference frame are calculated by a general analytical method. For the International Terrestrial Reference Frame (ITRF) the effects of the Earth irregular rotation, precession, nutation, and polar motion are considered. Gravity coefficients of the Earth potential expansion are expressed in an inertial Celestial Reference Frame (CRF) as functions of the set of standard constant coefficients derived in the ITRF and of the rotation angles between the CRF and ITRF. The analytical motion theory uses time dependent gravity coefficients, and the Lagrange motion equations are integrated in the CRF, as it is done by numerical methods. Comparison of the proposed analytical method with a numerical one is presented. Motion of the ETALON-1 geodetic satellite perturbed by the geopotential (36*36) and by the full effects of the Earth irregular rotation, precession, nutation and polar motion is predicted. The r.m.s. difference between the satellite's coordinates calculated by both methods over a year interval is 2 cm. This revised version was published online in July 2006 with corrections to the Cover Date.     

Tropospheric Delay from VLBI and GNSS Measurements

Using an updated version of the QUASAR software package developed at the Institute of Applied Astronomy of the Russian Academy of Sciences, we have processed the VLBI observations within the international CONT14 program (May 6–20, 2014), in which a global network of 17 stations was involved (a total of ~250 000 observations). The package update concerned the optimization of data structure and the refinement of stochastic models for the random variations in wet tropospheric delay and atomic clock difference. The main goal of this paper is to compare the VLBI determinations of the tropospheric delay with its independent determinations using global navigation satellite systems (GNSS). We show that both these determinations agree well between themselves only in the case of a global analysis of the VLBI observations, where the VLBI station coordinates are also refined, along with the tropospheric delay and the clock synchronization and Earth orientation parameters. If, alternatively, the station coordinates are insufficiently accurate and are not refined from VLBI observations, then it is appropriate not to determine the tropospheric delay from these observations, but to take it from the publicly accessible independent GNSS data. However, this requires that the VLBI and GNSS techniques operate simultaneously at a common observing site. We have established the shortcomings of the universally accepted method of stabilizing the global solution associated with the absence of a criterion for choosing reference stations and radio sources. Two ways of their elimination are proposed: (i) introducing a coordinated list of weight factors for the errors in the coordinates of such stations and sources into the stabilization algorithm and (ii) adopting a coordinated list of stations and sources the refinement of whose coordinates is not required at all for a certain time.     

Results of the first two years of VLBI observations at the Svetloe Observatory within the framework of international geodynamical programs

We present the results of processing the VLBI observations performed at the Svetloe Observatory of the Institute of Applied Astronomy (IAA), Russian Academy of Sciences, in the period 2003–2005 within the framework of geodynamical programs of the International VLBI Service (IVS) for geodesy and astrometry. We analyzed the observations at the Svetloe Observatory, together with the observations at other stations of the global IVS network, at the IAA using a modified OCCAM package. The package uses new reduction models that decrease the systematic errors of the results. The motion of the stations, primarily of the Svetloe Observatory, is investigated to study the global geotectonic processes. Highly accurate estimates of the coordinate and baseline length variations have been obtained for the first time in Russia from observations at a Russian VLBI station. We determined the coordinates and velocity of the Svetloe VLBI station with errors of ～2 mm and 3 mm yr^?1, respectively, and the baseline lengths between the stations with a sufficiently long observational history with an accuracy of 1–3 mm. The results are shown to be in good agreement with currently available models for the motion of tectonic plates.     

Method for obtaining the combined solution for geodynamical parameters from modern space geodesy technique observation

Combined method for VLBI, GPS and SLR observation was presented. The method is based on combination of normal equation systems and local ties information for sites with collocated techniques provided by analysis centres. The combined solution for CONT02 geodesy experiment is considered.     

Apparent proper motions of radio sources from geodetic VLBI data

According to the most recent geodetic VLBI data, some of the radio sources that define the fundamental celestial reference frame are astrometrically unstable. In contrast to the stellar proper motions described by a linear function, the apparent proper motions of quasars are more complex. Therefore, they are difficult to approximate by a particular model. Being disregarded, the positional instability of the defining quasars can lead to a bias in the estimates of other parameters from observations, for example, the nutation angle corrections.     

CVN硬盘系统和软件相关处理在e-VLBI试验中的应用

介绍了中国VLBI网（CVN）的e-VLBI技术研究进展．CVN包括上海佘山、乌鲁木齐南山2个固定观测站和云南昆明的流动站，以及上海天文台的2台站硬件相关处理机。2003年上海天文台自行研制了基于PC技术的VLBI数据记录、回放系统，命名为CVN硬盘系统，并成功将其安置于CVN观测站和处理机系统。硬件处理机经过改造后，已能处理来自硬盘和原有磁带系统的数据．从2003年至今，中国VLBI网采用该硬盘系统进行了多次VLBI观测和e-VLBI试验。在CVN硬盘系统基础上，软件相关处理技术的研究也得以开展。软件相关处理原型程序已经被用于台站条纹检测、卫星条纹搜索和数据处理中。该软件获得的计算结果被成功用于国内第一个3台站卫星VLBI的延迟和延迟率闭合试验，以及国内首次利用VLBI数据进行的卫星定轨试验。除此之外，该软件还用作硬件处理机的条纹引导器。为适应未来“嫦娥”月球探测工程，CVN将扩展成含有4个观测站和2个相关处理机（硬件、软件）的实时VLBI网。今后，e-VLBI将被应用于月球卫星导航以及测地和天体物理的VLBI观测。     

Geodynamic implications of astrometry

The transition from local horizon and terrestrial BIH-systems to celestial reference frames is well known to be affected by various geodetic parameters such as polar motion (x_p(t), y_p(t)), UT1-TUC (where UT1 is basically dependent on variations in UT0 and t=time), plumb line deflections (, ) of observation stations, global and local tidal deformations etc. Variations of such quantities with (relative) resolution of the order of 0.001 and better, such as VLBI, demand the application of continuous high-precision (world-wide) geodynamic surveys whenever global theories and sufficient models are not available and the introduction of improved local and global models (geophysical and relativistic) is needed in order to match astrometric observations related to different reference frames. Prediction of parameters for immediate transformation from one system of reference into the other is sometimes of interest.The paperreviews recent results of different observations,points out a number of still open and unresolved problems in observations and modeling, anddiscusses related consequences. Conclusions for geodynamics drawn from comparison of observed data with models based on astronomical and geophysical observations give way to new understanding of basic phenomena of relevance for various disciplines.     

Fundamental physics and absolute positioning metrology with the MAGIA lunar orbiter

MAGIA is a mission approved by the Italian Space Agency (ASI) for Phase A study. Using a single large-diameter laser retroreflector, a large laser retroreflector array and an atomic clock onboard MAGIA we propose to perform several fundamental physics and absolute positioning metrology experiments: VESPUCCI, an improved test of the gravitational redshift in the Earth?CMoon system predicted by General Relativity; MoonLIGHT-P, a precursor test of a second generation Lunar Laser Ranging (LLR) payload for precision gravity and lunar science measurements under development for NASA, ASI and robotic missions of the proposed International Lunar Network (ILN); Selenocenter (the center of mass of the Moon), the determination of the position of the Moon center of mass with respect to the International Terrestrial Reference Frame/System (ITRF/ITRS); this will be compared to the one from Apollo and Lunokhod retroreflectors on the surface; MapRef, the absolute referencing of MAGIA??s lunar altimetry, gravity and geochemical maps with respect to the ITRF/ITRS. The absolute positioning of MAGIA will be achieved thanks to: (1) the laboratory characterization of the retroreflector performance at INFN-LNF; (2) the precision tracking by the International Laser Ranging Service (ILRS), which gives two fundamental contributions to the ITRF/ITRS, i.e. the metrological definition of the geocenter (the Earth center of mass) and of the scale of length; (3) the radio science and accelerometer payloads; (4) support by the ASI Space Geodesy Center in Matera, Italy. Future ILN geodetic nodes equipped with MoonLIGHT and the Apollo/Lunokhod retroreflectors will become the first realization of the International Moon Reference Frame (IMRF), the lunar analog of the ITRF.     

Two-Component Structure of the Radio Source 0014+813 from VLBI Observations within the CONT14 Program

We consider a method of reconstructing the structure delay of extended radio sources without constructing their radio images. The residuals derived after the adjustment of geodetic VLBI observations are used for this purpose. We show that the simplest model of a radio source consisting of two point components can be represented by four parameters (the angular separation of the components, the mutual orientation relative to the poleward direction, the flux-density ratio, and the spectral index difference) that are determined for each baseline of a multi-baseline VLBI network. The efficiency of this approach is demonstrated by estimating the coordinates of the radio source 0014+813 observed during the two-week CONT14 program organized by the International VLBI Service (IVS) in May 2014. Large systematic deviations have been detected in the residuals of the observations for the radio source 0014+813. The averaged characteristics of the radio structure of 0014+813 at a frequency of 8.4 GHz can be calculated from these deviations. Our modeling using four parameters has confirmed that the source consists of two components at an angular separation of ~0.5 mas in the north–south direction. Using the structure delay when adjusting the CONT14 observations leads to a correction of the average declination estimate for the radio source 0014+813 by 0.070 mas.     

An Approach of Tropospheric Correction for VLBI Phase-Referencing using GPS Data

The dominant source of error in VLBI phase-referencing is the troposphere at observing frequencies above 5 GHz. We compare the tropospheric zenith delays derived from VLBI and GPS data at VLBA stations collocated with GPS antennas. The systematic biases and standard deviations both are at the level of sub-centimeter. Based on this agreement, we suggest a new method of tropospheric correction in phase-referencing using combined VLBI and GPS data.     

An Approach of Tropospheric Correction for VLBI Phase-Referencing using GPS Data

The dominant source of error in VLBI phase-referencing is the troposphere at observing frequencies above 5 GHz. We compare the tropospheric zenith delays derived from VLBI and GPS data at VLBA stations collocated with GPS antennas. The systematic biases and standard deviations both are at the level of sub-centimeter. Based on this agreement, we suggest a new method of tropospheric correction in phase-referencing using combined VLBI and GPS data.