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Cheng et al. Satell Navig             (2021) 2:2                    Satellite Navigation
            https://doi.org/10.1186/s43020-020-00032-w
                                                                              https://satellite-navigation.springeropen.com/



             ORIGINAL ARTICLE                                                                 Open Access

            Update China geodetic coordinate frame


            considering plate motion


                         1
                                        1*
                                                        2
            Pengfei Cheng , Yingyan Cheng , Xiaoming Wang  and Yantian Xu 1

              Abstract
              China Geodetic Coordinate System 2000 (CGCS2000), as the formal national coordinate reference frame, has been
              used for 20 years. The coordinates of all Global Navigation Satellite System (GNSS) stations in China need referring
              to this system. To this end, the frst step is to align the coordinates of all stations, usually included in a regional GNSS
              network, with a given International Terrestrial Reference Frame (ITRF), then these coordinates are corrected to the
              CGCS2000 in consideration of plate movement. For a better alignment result, regional control stations are needed
              and their coordinates were estimated from the combination of constraint-free normal equation systems provided by
              several International GNSS Service (IGS) analysis centers. The efect in using these refned coordinates, which deter-
              mine a regional coordinate datum, on the alignment result should be evaluated by the coordinate corrections of the
              regional control stations to the regional coordinate datum, i.e. smaller corrections mean better alignments of the two
              associated frames. The test results show that the refned coordinates are more accurate than the ones calculated from
              the station’s velocity, and are well aligned with the ITRF2005. Moreover, for obtaining the coordinates of GNSS stations
              in an updated CGCS2000 frame, a gridded linear velocity feld based on the estimated velocities at 1025 CGCS2000
              stations was generated for mainland China using the optimal interpolation method, the inverse distance weighting,
              which is selected from fve interpolation methods. The overall precisions of the constructed velocity feld at all stations
              in the East (E) and, North (N) directions are 0.78 mm/a and 0.95 mm/a, respectively. For evaluating the accuracy of the
              updated CGCS2000 frame, monthly solutions for the coordinates of some CGCS2000 CORS stations in the ITRF2014
              during the period from 2000.0 to 2018 were obtained and the Root Mean Square (RMS) of the diferences between
              the coordinates corrected to the CGCS2000 and the known coordinates at these stations are about 2–3 cm.
              Keywords:  Optimal reference frame alignment, Frame agreement, China’s grid velocity, CGCS2000 update


            Introduction                                      CGCS2000 transformation. Te CGCS2000 is a static
            China Geodetic  Coordinate System 2000  (CGCS2000)   frame and maintained by the coordinates of all GNSS sta-
            was released on July 1, 2008 (Chen 2008) as the formal   tions, which are usually estimated from the observations
            national reference frame. It was defned in the Interna-  in diferent times and referred to diferent ITRFs, trans-
            tional Terrestrial Reference Frame (ITRF) 97 at the ref-  formed to the CGCS2000 frame.
            erence epoch 2000.0 and maintained using 2600 Global   A few approaches have considered the plate motions
            Navigation Satellite System (GNSS) geodetic reference   in the transformation of the coordinates of a regional
            stations distributed over China (Cheng et al. 2008). Tere   GNSS network from an ITRF to the CGCS2000. Two
            are several newer ITRFs (Altamimi et  al.  2002,  2012),   common ones are as below. Te frst approach is using
            shown in Table  1, which need to be considered in the   the  seven transformation  parameters  at  a  given  epoch,
                                                              obtained from the parameters at the reference epoch, and
                                                              their rates between the ITRF and ITRF97 (Wang 2020),
            *Correspondence:  504827709@qq.com; yycheng@casm.ac.cn  together with the movement velocities of the selected sta-
            1  Chinese Academy of Surveying and Mapping, 28 Lianhuachi West Road,
            Beijing 100036, China                             tions. Te second one is tightly constraining the coordi-
            Full list of author information is available at the end of the article  nates of some stations to their known coordinates in the


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