{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,20]],"date-time":"2025-12-20T22:20:04Z","timestamp":1766269204657,"version":"build-2065373602"},"reference-count":52,"publisher":"MDPI AG","issue":"1","license":[{"start":{"date-parts":[[2018,12,29]],"date-time":"2018-12-29T00:00:00Z","timestamp":1546041600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Collaborative Precision Positioning Project,China Natural Science Funds,LU JIAXI International team program","award":["No. 2016YFB0501900,No. 41674022, 41574015, 41574033"],"award-info":[{"award-number":["No. 2016YFB0501900,No. 41674022, 41574015, 41574033"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Remote Sensing"],"abstract":"<jats:p>The predicted parts of ultra-rapid orbits are important for (near) real-time Global Navigation Satellite System (GNSS) precise applications; and there is little research on GPS\/GLONASS\/BDS\/Galileo\/QZSS five-system ultra-rapid precise orbit determination; based on the one-step method and double-difference observation model. However; the successful development of a software platform for solving five-system ultra-rapid orbits is the basis of determining and analyzing these orbits. Besides this; the different observation models and processing strategies facilitate to validate the reliability of the various ultra-rapid orbits. In this contribution; this paper derives the double-difference observation model of five-system ultra-rapid precise orbit determination; based on a one-step method; and embeds this method and model into Bernese v5.2; thereby forming a new prototype software platform. For validation purposes; 31 days of real tracking data; collected from 130 globally-distributed International GNSS Service (IGS) multi-GNSS Experiment (MGEX) stations; are used to determine a five-system ultra-rapid precise orbit. The performance of the software platform is evaluated by analysis of the orbit discontinuities at day boundaries and by comparing the consistency with the MGEX orbits from the Deutsches GeoForschungsZentrum (GFZ); between the results of this new prototype software platform and the ultra-rapid orbit provided by the International GNSS Monitoring and Assessment System (iGMAS) analysis center (AC) at the Institute of Geodesy and Geophysics (IGG). The test results show that the average standard deviations of orbit discontinuities in the three-dimension direction are 0.022; 0.031; 0.139; 0.064; 0.028; and 0.465 m for GPS; GLONASS; BDS Inclined Geosynchronous Orbit (IGSO); BDS Mid-Earth Orbit (MEO); Galileo; and QZSS satellites; respectively. In addition; the preliminary results of the new prototype software platform show that the consistency of this platform has been significantly improved compared to the software package of the IGGAC.<\/jats:p>","DOI":"10.3390\/rs11010046","type":"journal-article","created":{"date-parts":[[2018,12,31]],"date-time":"2018-12-31T07:22:30Z","timestamp":1546240950000},"page":"46","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":6,"title":["The Preliminary Results for Five-System Ultra-Rapid Precise Orbit Determination of the One-Step Method Based on the Double-Difference Observation Model"],"prefix":"10.3390","volume":"11","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-4728-7849","authenticated-orcid":false,"given":"Fei","family":"Ye","sequence":"first","affiliation":[{"name":"Institute of Geodesy and Geophysics, CAS, 340 Xudong Street, Wuhan 430077, China"},{"name":"State Key Laboratory of Geodesy and Earth\u2019s Dynamics, 340 Xudong Street, Wuhan 430077, China"},{"name":"College of Earth and Planetary Sciences, University of Chinese Academy of Sciences, A19 Yuquan Road, Beijing 100049, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yunbin","family":"Yuan","sequence":"additional","affiliation":[{"name":"Institute of Geodesy and Geophysics, CAS, 340 Xudong Street, Wuhan 430077, China"},{"name":"State Key Laboratory of Geodesy and Earth\u2019s Dynamics, 340 Xudong Street, Wuhan 430077, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4069-2032","authenticated-orcid":false,"given":"Bingfeng","family":"Tan","sequence":"additional","affiliation":[{"name":"Institute of Geodesy and Geophysics, CAS, 340 Xudong Street, Wuhan 430077, China"},{"name":"State Key Laboratory of Geodesy and Earth\u2019s Dynamics, 340 Xudong Street, Wuhan 430077, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zhiguo","family":"Deng","sequence":"additional","affiliation":[{"name":"Deutsches GeoForschungsZentrum, TELEGRAFENBERG 1, 14473 Potsdam, Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jikun","family":"Ou","sequence":"additional","affiliation":[{"name":"Institute of Geodesy and Geophysics, CAS, 340 Xudong Street, Wuhan 430077, China"},{"name":"State Key Laboratory of Geodesy and Earth\u2019s Dynamics, 340 Xudong Street, Wuhan 430077, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2018,12,29]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"1671","DOI":"10.1016\/j.asr.2017.01.011","article-title":"The Multi-GNSS Experiment (MGEX) of the International GNSS Service (IGS)\u2014Achievements, prospects and challenges","volume":"59","author":"Montenbruck","year":"2017","journal-title":"Adv. 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