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Han et al. Satell Navig            (2021) 2:18                      Satellite Navigation
            https://doi.org/10.1186/s43020-021-00044-0
                                                                              https://satellite-navigation.springeropen.com/



             ORIGINAL ARTICLE                                                                 Open Access

            The space–time references of BeiDou


            Navigation Satellite System


                                2*
                        1,2
                                                        2
                                           2
            Chunhao Han , Li Liu , Zhiwu Cai  and Yuting Lin
              Abstract
              The BeiDou Navigation Satellite System (BDS) is essentially a precise time measurement and time synchronization
              system for a large-scale space near the Earth. General relativity is the basic theoretical framework for the information
              processing in the master control station of BDS. Having introduced the basic conceptions of relativistic space–time
              reference systems, the space–time references of BDS are analyzed and the function and acquisition method of the
              Earth Orientation Parameters (EOP) are briefy discussed. The basic space reference of BDS is BeiDou Coordinate
              System (BDCS), and the time standard is the BDS Time (BDT). BDCS and BDT are the realizations of the Geocentric
              Terrestrial Reference System (GTRS) and the Terrestrial Time (TT) for BDS, respectively. The station coordinates in the
              BDCS are consistent with those in International Terrestrial Reference Frame (ITRF)2014 at the cm–level and the dif-
              ference in scale is about 1.1 × 10  . The time deviation of BDT relative to International Atomic Time (TAI) is less than
                                        −8
              50 ns and the frequency deviation is less than 2 × 10 −14  . The Geocentric Celestial Reference System (GCRS) and the
              solar Barycentric Celestial Reference System (BCRS) are also involved in the operation of BDS. The observation models
              for time synchronization and precise orbit determination are established within the GCRS framework. The coordinate
              transformation between BDCS and GCRS is consistent with the International Earth Rotation and Reference Systems
              Service (IERS). In the autonomous operation mode without the support of the ground master control station, Earth
              Orientation Parameters (EOP) is obtained by means of long-term prediction and on-board observation. The observa-
              tion models for the on-board astrometry should be established within the BCRS framework.
              Keywords:  BDS, BDT, Space–time references, BeiDou coordinate system, Earth orientation parameters


            Introduction                                        Precise orbit determination and time synchronization are
            Since July 31, 2020, BeiDou-3 Navigation Satellite Sys-  conducted with diferent methods, but the basic observation
            tem (BDS-3) has been ofcially operational. As a major   data are the same, i.e., pseudo-ranges at the ground moni-
            national infrastructure, BDS-3 provides global position-  tor stations. Te joint calculation method of satellite orbit
            ing, navigation, and timing, as well as Global Short Mes-  and satellite clock ofset is adopted by Global Positioning
            sage Communication (GSMC) and Search and Rescue   System (GPS) and Galileo Navigation Satellite System (Gali-
            (SAR) services. It also provides Satellite-Based Augmen-  leo), which will result in a strong correlation between the
            tation Service (SBAS), Precise Point Positioning (PPP),   derived satellite orbit and satellite clock ofset (Demetrios
            Regional Short Message Communication (RSMC) and   et al., 2008). Tere is no doubt that the longer the satellite’s
            other services in and around China (Yang et  al.,  2018;   tracking arc and the higher the frequency stability of the on-
            Guo et al., 2019).                                board clock, the more accurate the results of the orbit and
                                                              the clock ofset will be. Considering the limited deployment
                                                              range of monitor stations and the non-ideal stability of the
                                                              satellite clocks during the initial construction of BeiDou
            *Correspondence:  lliu@shao.ac.cn                 Navigation Satellite (Regional) System (BDS-2) (the daily
            2  Beijing Satellite Navigation Center, Beijing 100094, China  stability was at 1 × 10 −13  level), to prevent the mutual error
            Full list of author information is available at the end of the article


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