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Shi et al. Satell Navig             (2021) 2:5                      Satellite Navigation
            https://doi.org/10.1186/s43020-021-00036-0
                                                                              https://satellite-navigation.springeropen.com/



             ORIGINAL ARTICLE                                                                 Open Access

            Performance evaluation of multi-GNSSs


            navigation in super synchronous transfer orbit

            and geostationary earth orbit


                                 *
            Tao Shi, Xuebin Zhuang  and Liwei Xie



              Abstract
              The autonomous navigation of the spacecrafts in High Elliptic Orbit (HEO), Geostationary Earth Orbit (GEO) and Geo-
              stationary Transfer Orbit (GTO) based on Global Navigation Satellite System (GNSS) are considered feasible in many
              studies. With the completion of BeiDou Navigation Satellite System with Global Coverage (BDS-3) in 2020, there are
              at least 130 satellites providing Position, Navigation, and Timing (PNT) services. In this paper, considering the latest
              CZ-5(Y3) launch scenario of Shijian-20 GEO spacecraft via Super-Synchronous Transfer Orbit (SSTO) in December 2019,
              the navigation performance based on the latest BeiDou Navigation Satellite System (BDS), Global Positioning Sys-
              tem (GPS), Galileo Navigation Satellite System (Galileo) and GLObal NAvigation Satellite System (GLONASS) satellites
              in 2020 is evaluated, including the number of visible satellites, carrier to noise ratio, Doppler, and Position Dilution
              of Precision (PDOP). The simulation results show that the GEO/Inclined Geo-Synchronous Orbit (IGSO) navigation
              satellites of BDS-3 can efectively increase the number of visible satellites and improve the PDOP in the whole launch
              process of a typical GEO spacecraft, including SSTO and GEO, especially for the GEO spacecraft on the opposite side
              of Asia-Pacifc region. The navigation performance of high orbit spacecrafts based on multi-GNSSs can be signifcantly
              improved by the employment of BDS-3. This provides a feasible solution for autonomous navigation of various high
              orbit spacecrafts, such as SSTO, MEO, GEO, and even Lunar Transfer Orbit (LTO) for the lunar exploration mission.
              Keywords:  GNSS, BDS, Navigation, PDOP, SSTO


            Introduction                                      an increase in spacecraft height, the number of useable
            Global Navigation Satellite System (GNSS) includ-  navigation satellites will decrease because of the limited
            ing Global Positioning System (GPS), BeiDou Naviga-  beam width of satellite transmitting antenna. When the
            tion Satellite System (BDS), Galileo navigation satellite   altitude of a spacecraft is higher than navigation satellites
            system (Galileo), GLObal NAvigation Satellite System   altitude (about 20,200 km e.g. GPS), the spacecraft can-
            (GLONASS) was originally designed to provide Posi-  not receive the navigation signals from the above. Early
            tion, Navigation, and Timing (PNT) services for land,   researches and missions have proved that for a high orbit
            sea, and air targets. For the spacecrafts with the altitude   spacecraft, the GPS signals leaked from the opposite of
            less than 3000 km, they can use the current navigation   the earth can be used for autonomous navigation, but
            constellation like GPS for autonomous navigation as   the navigation requirements can be met in a very limited
            the terrestrial users except for higher Doppler shift and   time (Balbach et al. 1998). In order to improve the perfor-
            satellite switching (Moreau et  al.  2000). However, with   mance of autonomous navigation, many researches based
                                                              on multi-GNSS are conducted to study the performance
                                                              of a combined navigation system for high orbit space-
                                                              crafts. Marmet et  al. (2015) simulated the autonomous
            *Correspondence:  zhuangxb@mail.sysu.edu.cn
            School of System Science and Engineering, Sun Yat-sen University,   navigation performance using the GPS-Galileo combined
            Guangzhou 510006, China                           navigation on Geostationary Earth Orbit (GEO) and

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