{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T01:08:27Z","timestamp":1760231307593,"version":"build-2065373602"},"reference-count":43,"publisher":"MDPI AG","issue":"17","license":[{"start":{"date-parts":[[2022,9,5]],"date-time":"2022-09-05T00:00:00Z","timestamp":1662336000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["42004022"],"award-info":[{"award-number":["42004022"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Remote Sensing"],"abstract":"<jats:p>Offering real-time precise point positioning (PPP) services for global and large areas based on global navigation satellite systems (GNSS) has drawn more and more attention from institutions and companies. A precise and reliable satellite orbit is a core premise for multi-GNSS real-time services, especially for the GPS and GLONASS, which are undergoing modernization, whereas the Galileo, BDS and QZSS have just fulfilled the construction stage. In this contribution, a real-time precise orbit determination (POD) strategy for the five operational constellations based on the hourly updated ultrarapid orbit prediction method is presented. After combination of 72 h arc through three adjacent 24 h arc normal equations, the predicted orbits are finally generated (hourly updated). The POD results indicate that the mean one-dimensional (1-D) root mean square (RMS) values compared with the Deutsches GeoForschungsZentrum (GFZ) final multi-GNSS orbits are approximately 3.7 cm, 10.2 cm, 5.8 cm, 5.7 cm, 4.1 cm and 25.1 cm for GPS, BDS IGSOs, BDS MEOs, GLONASS, Galileo and QZSS NONE GEOs, respectively. The mean 1-D RMS values of the hourly updated ultrarapid orbit boundary overlapping comparison are approximately 1.6 cm, 6.9 cm, 3.2 cm, 2.7 cm, 1.8 cm and 22.2 cm for GPS, BDS IGSOs, BDS MEOs, GLONASS, Galileo and QZSS NONE GEOs, respectively. The satellite laser ranging (SLR) validation illuminates that the mean RMS values are approximately 4.53 cm and 4.73 cm for the four MEOs of BDS-3 and four BDS-2 satellites, respectively.<\/jats:p>","DOI":"10.3390\/rs14174412","type":"journal-article","created":{"date-parts":[[2022,9,8]],"date-time":"2022-09-08T04:18:32Z","timestamp":1662610712000},"page":"4412","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":6,"title":["Real-Time Multi-GNSS Precise Orbit Determination Based on the Hourly Updated Ultra-Rapid Orbit Prediction Method"],"prefix":"10.3390","volume":"14","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-4069-2032","authenticated-orcid":false,"given":"Bingfeng","family":"Tan","sequence":"first","affiliation":[{"name":"Innovation Academy for Precision Measurement Science and Technology, Chinese Academy of Sciences, West No.30 Xiao Hong Shan, Wuhan 430071, China"}]},{"given":"Yunbin","family":"Yuan","sequence":"additional","affiliation":[{"name":"Innovation Academy for Precision Measurement Science and Technology, Chinese Academy of Sciences, West No.30 Xiao Hong Shan, Wuhan 430071, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7293-8821","authenticated-orcid":false,"given":"Qingsong","family":"Ai","sequence":"additional","affiliation":[{"name":"Innovation Academy for Precision Measurement Science and Technology, Chinese Academy of Sciences, West No.30 Xiao Hong Shan, Wuhan 430071, China"}]},{"given":"Jiuping","family":"Zha","sequence":"additional","affiliation":[{"name":"Innovation Academy for Precision Measurement Science and Technology, Chinese Academy of Sciences, West No.30 Xiao Hong Shan, Wuhan 430071, China"}]}],"member":"1968","published-online":{"date-parts":[[2022,9,5]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1186\/s43020-019-0006-0","article-title":"Basic performance and future developments of BeiDou global navigation satellite system","volume":"1","author":"Yang","year":"2020","journal-title":"Satell. Navig."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"614","DOI":"10.1007\/s11430-017-9186-9","article-title":"Progress and performance evaluation of BeiDou global navigation satellite system: Data analysis based on BDS-3 demonstration system","volume":"61","author":"Yang","year":"2018","journal-title":"Sci. China Earth Sci."},{"key":"ref_3","unstructured":"Guo, J. (2014). The Impacts of Attitude, Solar Radiation and Function Model on Precise Orbit Determination for GNSS Satellites. [Ph.D. Thesis, Wuhan University]."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"345","DOI":"10.1007\/s00190-016-0968-8","article-title":"CODE\u2019s five-system orbit and clock solution\u2014the challenges of multi-GNSS data analysis","volume":"91","author":"Prange","year":"2017","journal-title":"J. Geod."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"2786","DOI":"10.1016\/j.asr.2020.04.038","article-title":"Overview of CODE\u2019s MGEX solution with the focus on Galileo","volume":"66","author":"Prange","year":"2020","journal-title":"Adv. Space Res."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"1011","DOI":"10.1007\/s00190-018-1220-5","article-title":"PPP-RTK based on undifferenced and uncombined observations: Theoretical and practical aspects","volume":"93","author":"Zhang","year":"2019","journal-title":"J. Geod."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"1267","DOI":"10.1007\/s00190-018-1118-2","article-title":"Real-Time Precise Point Positioning (RTPPP) with raw observations and its application in real-time regional ionospheric VTEC modeling","volume":"92","author":"Liu","year":"2018","journal-title":"J. Geod."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"135","DOI":"10.1007\/s10291-021-01169-0","article-title":"Ionosphere-weighted undifferenced and uncombined PPP-RTK: Theoretical models and experimental results","volume":"25","author":"Zha","year":"2021","journal-title":"GPS Solut."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"111015","DOI":"10.1016\/j.measurement.2022.111015","article-title":"Evaluation and mitigation of the influence of pseudorange biases on GNSS satellite clock offset estimation","volume":"193","author":"Ai","year":"2022","journal-title":"Measurement"},{"key":"ref_10","doi-asserted-by":"crossref","unstructured":"Ai, Q., Yuan, Y., Zhang, B., Xu, T., and Chen, Y. (2020). Refining GPS\/GLONASS Satellite Clock Offset Estimation in the Presence of Pseudo-Range Inter-Channel Biases. Remote Sens., 12.","DOI":"10.3390\/rs12111821"},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"1840","DOI":"10.1007\/S11434-015-0911-Z","article-title":"Characterization of multi-GNSS between-receiver differential code biases using zero and short baselines","volume":"60","author":"Zhang","year":"2015","journal-title":"Sci. Bull."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"S180","DOI":"10.1017\/S0373463311000361","article-title":"A novel un-differenced PPP-RTK concept","volume":"64","author":"Zhang","year":"2011","journal-title":"J. Navig."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"469","DOI":"10.1016\/j.asr.2020.04.015","article-title":"GipsyX\/RTGx, a new tool set for space geodetic operations and research","volume":"66","author":"Bertiger","year":"2020","journal-title":"Adv. Space Res."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"1531","DOI":"10.1016\/j.asr.2007.02.062","article-title":"Auto-BAHN: Software for near real-time GPS orbit and clock computations","volume":"39","author":"Zhang","year":"2007","journal-title":"Adv. Space Res."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"11","DOI":"10.1007\/s10291-017-0678-6","article-title":"Quality assessment of multi-GNSS orbits and clocks for real-time precise point positioning","volume":"22","author":"Kazmierski","year":"2018","journal-title":"Gps Solut."},{"key":"ref_16","doi-asserted-by":"crossref","unstructured":"Zhang, S., Du, S., Li, W., and Wang, G. (2019). Evaluation of the GPS precise orbit and clock corrections from MADOCA real-time products. Sensors, 19.","DOI":"10.3390\/s19112580"},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"45","DOI":"10.1007\/s10291-019-0827-1","article-title":"Real-time precise orbit determination for BDS satellites using the square root information filter","volume":"23","author":"Dai","year":"2019","journal-title":"GPS Solut."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"39","DOI":"10.1007\/s10291-019-0834-2","article-title":"Prediction versus real-time orbit determination for GNSS satellites","volume":"23","author":"Duan","year":"2019","journal-title":"GPS Solut."},{"key":"ref_19","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)\u2013achievements, prospects and challenges","volume":"59","author":"Montenbruck","year":"2017","journal-title":"Adv. Space Res."},{"key":"ref_20","unstructured":"Jiao, W. (2014, January 21\u201323). International GNSS Monitoring and Assessment System (iGMAS) and latest progress. Proceedings of the China Satellite Navigation Conference (CSNC), Nanjing, China."},{"key":"ref_21","unstructured":"Deng, Z., Fritsche, M., Nischan, T., and Bradke, M. (2016). Multi-GNSS Ultra Rapid Orbit-, Clock-& EOP Product Series, GFZ Data Services, Technical Report."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"143","DOI":"10.1007\/s00190-015-0862-9","article-title":"Precise orbit determination for quad-constellation satellites at Wuhan University: Strategy, result validation, and comparison","volume":"90","author":"Guo","year":"2016","journal-title":"J. Geod."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"2378","DOI":"10.1016\/j.asr.2019.01.009","article-title":"Real-time GPS satellite orbit and clock estimation based on OpenMP","volume":"63","author":"Kuang","year":"2019","journal-title":"Adv. Space Res."},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"607","DOI":"10.1007\/s00190-015-0802-8","article-title":"Accuracy and reliability of multi-GNSS real-time precise positioning: GPS, GLONASS, BeiDou, and Galileo","volume":"89","author":"Li","year":"2015","journal-title":"J. Geod."},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"1079","DOI":"10.1007\/s11430-012-4446-8","article-title":"Precise orbit determination of Beidou Satellites with precise positioning","volume":"55","author":"Shi","year":"2012","journal-title":"Sci. China Earth Sci."},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"45","DOI":"10.1007\/s00190-018-1138-y","article-title":"Improving multi-GNSS ultra-rapid orbit determination for real-time precise point positioning","volume":"93","author":"Li","year":"2019","journal-title":"J. Geod."},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"403","DOI":"10.1007\/s10291-012-0288-2","article-title":"Evaluation of GPS orbit prediction strategies for the IGS Ultra-rapid products","volume":"17","author":"Choi","year":"2013","journal-title":"GPS Solut."},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"93","DOI":"10.1007\/s10291-014-0369-5","article-title":"IGS RTS precise orbits and clocks verification and quality degradation over time","volume":"19","author":"Hadas","year":"2015","journal-title":"GPS Solut."},{"key":"ref_29","unstructured":"R\u00fclke, A., Agrotis, L., Enderle, W., and MacLeod, K. (2016). IGS real time service\u2013status, future tasks and limitations. Proceedings of the IGS Workshop, Sydney, Australia, 8\u201312 February 2016, Federal Agency for Cartography and Geodesy."},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"1015","DOI":"10.1016\/j.asr.2015.06.019","article-title":"GNSS satellite geometry and attitude models","volume":"56","author":"Montenbruck","year":"2015","journal-title":"Adv. Space Res."},{"key":"ref_31","unstructured":"Petit, G., and Luzum, B. (2010). IERS Conventions, Verlag des Bundesamts f\u00fcr Kartographie und Geod\u00e4sie."},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"3032","DOI":"10.1016\/j.asr.2022.01.035","article-title":"BDS near real-time maneuver detection based on triple-differenced phase observations","volume":"69","author":"Song","year":"2022","journal-title":"Adv. Space Res."},{"key":"ref_33","doi-asserted-by":"crossref","unstructured":"Ye, F., Yuan, Y., Tan, B., and Ou, J. (2017). A robust method to detect BeiDou navigation satellite system orbit maneuvering\/anomalies and its applications to precise orbit determination. Sensors, 17.","DOI":"10.3390\/s17051129"},{"key":"ref_34","first-page":"367","article-title":"Extended orbit modeling techniques at the CODE processing center of the international GPS service for geodynamics (IGS): Theory and initial results","volume":"19","author":"Beutler","year":"1994","journal-title":"Manuscr. Geod."},{"key":"ref_35","doi-asserted-by":"crossref","first-page":"775","DOI":"10.1007\/s00190-015-0814-4","article-title":"CODE\u2019s new solar radiation pressure model for GNSS orbit determination","volume":"89","author":"Arnold","year":"2015","journal-title":"J. Geod."},{"key":"ref_36","doi-asserted-by":"crossref","first-page":"283","DOI":"10.1007\/s00190-014-0774-0","article-title":"Enhanced solar radiation pressure modeling for Galileo satellites","volume":"89","author":"Montenbruck","year":"2015","journal-title":"J. Geod."},{"key":"ref_37","doi-asserted-by":"crossref","first-page":"2799","DOI":"10.1016\/j.asr.2020.05.028","article-title":"Adopting the empirical CODE orbit model to Galileo satellites","volume":"66","author":"Sidorov","year":"2020","journal-title":"Adv. Space Res."},{"key":"ref_38","unstructured":"Wang, C. (2019). Solar Radiation Pressure Modelling for BeiDou Navigation Satellites. [Ph.D. Thesis, Wuhan University]."},{"key":"ref_39","doi-asserted-by":"crossref","unstructured":"Liu, Y., Liu, Y., Tian, Z., Dai, X., Qing, Y., and Li, M. (2019). Impact of ECOM Solar Radiation Pressure Models on Multi-GNSS Ultra-Rapid Orbit Determination. Remote Sens., 11.","DOI":"10.3390\/rs11243024"},{"key":"ref_40","doi-asserted-by":"crossref","unstructured":"Xia, F., Ye, S., Chen, D., Tang, L., Wang, C., Ge, M., and Neitzel, F. (2022). Advancing the Solar Radiation Pressure Model for BeiDou-3 IGSO Satellites. Remote Sens., 14.","DOI":"10.3390\/rs14061460"},{"key":"ref_41","doi-asserted-by":"crossref","first-page":"1113","DOI":"10.1016\/j.asr.2012.01.016","article-title":"Adjustable box-wing model for solar radiation pressure impacting GPS satellites","volume":"49","author":"Hugentobler","year":"2012","journal-title":"Adv. Space Res."},{"key":"ref_42","unstructured":"China Satellite Navigation Office (2021, March 08). BeiDou Satellite Metadata, Available online: http:\/\/en.beidou.gov.cn\/SYSTEMS\/Officialdocument\/201912\/P020200323536298695483.zip."},{"key":"ref_43","doi-asserted-by":"crossref","first-page":"135","DOI":"10.1016\/S0273-1177(02)00277-6","article-title":"The international laser ranging service","volume":"30","author":"Pearlman","year":"2002","journal-title":"Adv. Space Res."}],"container-title":["Remote Sensing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2072-4292\/14\/17\/4412\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T00:23:32Z","timestamp":1760142212000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2072-4292\/14\/17\/4412"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,9,5]]},"references-count":43,"journal-issue":{"issue":"17","published-online":{"date-parts":[[2022,9]]}},"alternative-id":["rs14174412"],"URL":"https:\/\/doi.org\/10.3390\/rs14174412","relation":{},"ISSN":["2072-4292"],"issn-type":[{"type":"electronic","value":"2072-4292"}],"subject":[],"published":{"date-parts":[[2022,9,5]]}}}