{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,19]],"date-time":"2026-02-19T04:50:27Z","timestamp":1771476627207,"version":"3.50.1"},"reference-count":48,"publisher":"MDPI AG","issue":"22","license":[{"start":{"date-parts":[[2024,11,12]],"date-time":"2024-11-12T00:00:00Z","timestamp":1731369600000},"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":["U20A0193"],"award-info":[{"award-number":["U20A0193"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["WXDHS2023108"],"award-info":[{"award-number":["WXDHS2023108"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Orbit optimization design and high performance receiving technology of Earth\u2013Moon space navigation system","award":["U20A0193"],"award-info":[{"award-number":["U20A0193"]}]},{"name":"Orbit optimization design and high performance receiving technology of Earth\u2013Moon space navigation system","award":["WXDHS2023108"],"award-info":[{"award-number":["WXDHS2023108"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Remote Sensing"],"abstract":"<jats:p>Deep space exploration utilizing high-orbit vehicles is a vital approach for extending beyond near-Earth space, with orbit information serving as the foundation for all functional capabilities. The performance of orbit determination is primarily influenced by observation types, errors, geometrical structures, and physical perturbations. Currently, research on orbit determination for high-orbit spacecraft predominantly focuses on single observation methods, error characteristics, multi-source fusion techniques, and algorithms. However, these approaches often suffer from low observation accuracy and increased costs. This paper advocates for the comprehensive utilization of existing multi-source observation methods, such as GNSS (Global Navigation Satellite System), SLR (Satellite Laser Ranging), and VLBI (Very Long Baseline Interferometry), in research. The decoupled Kalman filter reveals a positive correlation between measurement positioning accuracy and orbit determination accuracy, and it derives a simple orbit performance evaluation model that considers the influence of observation value types and geometric configurations, without the need to introduce complex dynamic models. Simulations are then employed to verify and analyze antenna gain, observation values, and performance evaluation. The results indicate the following: (1) Under simulated conditions, the optimal strategy involves employing the SLR\/VLBI dual system during periods when VLBI orbit determination is feasible, yielding an average Weighted Position Dilution of Precision (WPDOP) of 26.79. (2) For periods when VLBI orbit determination is not feasible, the optimal approach is to utilize the GNSS\/SLR\/VLBI triple system, resulting in an average WPDOP of 16.32. (3) The orbit determination performance of the triple system is not significantly impacted by the use of global SLR stations compared to using only Chinese SLR stations. However, the global network enables continuous, round-the-clock orbit determination capabilities.<\/jats:p>","DOI":"10.3390\/rs16224214","type":"journal-article","created":{"date-parts":[[2024,11,12]],"date-time":"2024-11-12T08:12:39Z","timestamp":1731399159000},"page":"4214","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["Study on the Feasibility and Performance Evaluation of High-Orbit Spacecraft Orbit Determination Based on GNSS\/SLR\/VLBI"],"prefix":"10.3390","volume":"16","author":[{"given":"Zhengcheng","family":"Wu","sequence":"first","affiliation":[{"name":"College of Electronic Science and Technology, National University of Defense Technology, Changsha 410073, China"},{"name":"Key Laboratory of Satellite Navigation Technology, Changsha 410073, China"}]},{"given":"Shaojie","family":"Ni","sequence":"additional","affiliation":[{"name":"College of Electronic Science and Technology, National University of Defense Technology, Changsha 410073, China"},{"name":"Key Laboratory of Satellite Navigation Technology, Changsha 410073, China"}]},{"given":"Wei","family":"Xiao","sequence":"additional","affiliation":[{"name":"College of Electronic Science and Technology, National University of Defense Technology, Changsha 410073, China"},{"name":"Key Laboratory of Satellite Navigation Technology, Changsha 410073, China"}]},{"given":"Zongnan","family":"Li","sequence":"additional","affiliation":[{"name":"College of Electronic Science and Technology, National University of Defense Technology, Changsha 410073, China"},{"name":"Key Laboratory of Satellite Navigation Technology, Changsha 410073, China"}]},{"given":"Huicui","family":"Liu","sequence":"additional","affiliation":[{"name":"Beijing Aerospace Control Center, Beijing 100094, China"}]}],"member":"1968","published-online":{"date-parts":[[2024,11,12]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"1086","DOI":"10.1007\/s11431-012-4759-z","article-title":"Investigation on the development of deep space exploration","volume":"55","author":"Wu","year":"2012","journal-title":"Sci. China Echnologic. Sci."},{"key":"ref_2","first-page":"11","article-title":"Statistics and Analysis of global spacecraft launches in 2019","volume":"2","author":"Fu","year":"2020","journal-title":"Int. Space"},{"key":"ref_3","first-page":"1","article-title":"Introduction to NASA\u2019s Artemis lunar exploration program","volume":"41","author":"Wang","year":"2020","journal-title":"Spacecr. Recovery Remote Sens."},{"key":"ref_4","doi-asserted-by":"crossref","unstructured":"Wang, J., Zhang, Y., Di, K.L., Chen, M., Duan, J., Kong, J., Xie, J., Liu, Z., Wan, W., and Rong, Z. (2021). Localization of theChang\u2019e-5 lander using radio-tracking and image-basedmethods. Remote Sens., 13.","DOI":"10.3390\/rs13040590"},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"149","DOI":"10.1016\/j.spacepol.2014.08.004","article-title":"The Global Exploration Roadmap and its significance for NASA","volume":"30","author":"Laurini","year":"2014","journal-title":"Space Policy"},{"key":"ref_6","unstructured":"Hauplik-Meusburgera, S., and Messinab, P. (2018, January 1\u20135). Envisioning the Moon Village-A Space Architectural Approach. Proceedings of the 69th Interational Astronautical Congress (IAC), Bremen, Germany."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"5","DOI":"10.1186\/s43020-021-00036-0","article-title":"Performance evaluation of multi-GNSSs navigation in super synchronous transfer orbit and geostationary earth orbit","volume":"2","author":"Shi","year":"2021","journal-title":"Satell. Navig."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"15","DOI":"10.1186\/s43020-022-00075-1","article-title":"A review of real-time multi-GNSS precise orbit determination based on the filter method","volume":"3","author":"Lou","year":"2022","journal-title":"Satell. Navig."},{"key":"ref_9","first-page":"1223","article-title":"Research progress of three-body orbital dynamics","volume":"53","author":"Li","year":"2021","journal-title":"Chin. J. Mech. Mech."},{"key":"ref_10","unstructured":"Meng, W., Liu, L., Tang, D., and Yang, X. (2017, January 23\u201325). Feasibility Analysis and Design of GNSS autonomous navigation for lunar spacecraft. Proceedings of the 8th China Satellite Navigation Academic Conference\u2014S04 Satellite Orbit and Clock Difference, Shanghai, China."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"467","DOI":"10.1016\/j.actaastro.2008.07.022","article-title":"En route to the Moon using GNSS signals","volume":"64","author":"Palmerini","year":"2009","journal-title":"Acta Astronaut."},{"key":"ref_12","doi-asserted-by":"crossref","unstructured":"Palmerini, G.B. (2014, January 29\u201330). GNSS software receiver as navigation sensor in very high orbits. Proceedings of the 2014 IEEE Metrology for Aerospace (MetroAeroSpace), Benevento, Italy.","DOI":"10.1109\/MetroAeroSpace.2014.6865890"},{"key":"ref_13","unstructured":"Balbach, O., Eissfeller, B., and Institute of Electric and Electronic Engineer (1996, January 20\u201323). Tracking GPS above GPS satellite altitude: First results of the GPS experiment on the HEO mission Equator-S. Proceedings of the IEEE 1998 Position Location and Navigation Symposium (Cat. No.98CH36153), Palm Springs, CA, USA."},{"key":"ref_14","doi-asserted-by":"crossref","unstructured":"Davis, G., Moreau, M., Carpenter, R., and Bauer, F. (2002, January 5\u20138). GPS-Based Navigation and Orbit Determination for AMSAT AO-40 Satellite. Proceedings of the AIAA Guidance, Navigation, and Control Conference and Exhibit, Monterey, CA, USA.","DOI":"10.2514\/6.2002-5004"},{"key":"ref_15","first-page":"19","article-title":"Review on autonomous navigation technology for deep space exploration","volume":"22","author":"Qiang","year":"2023","journal-title":"Navig. Control."},{"key":"ref_16","unstructured":"Jiang, K. (2020). Research on Precise Orbit Determination of High-Orbit Spacecraft Based on Spaceborne GNSS Weak Signal, Wuhan University."},{"key":"ref_17","unstructured":"Wu, W. (2023). Research on Key Technologies of Precise Orbit Determination for Earth-Moon Space Spacecraft Based on Spaceborne GNSS, China Mining University."},{"key":"ref_18","doi-asserted-by":"crossref","unstructured":"Qin, H., and Liang, M. (2008). Research on high orbit satellite positioning technology based on GNSS. Chin. J. Space Sci., 316\u2013325.","DOI":"10.11728\/cjss2008.04.316"},{"key":"ref_19","first-page":"1496","article-title":"High orbital spacecraft GNSS signal transmission link modeling and strength analysis","volume":"44","author":"Chai","year":"2018","journal-title":"J. Beijing Univ. Aeronaut. Astronaut."},{"key":"ref_20","unstructured":"Sun, Z., and Wang, X. (2017). High rail environment GNSS visibility and geometric dilution of precision analysis. Aviat. Weapon, 18\u201327."},{"key":"ref_21","unstructured":"Li, Z.H., Wei, E.H., and Wang, Z.T. (2010). Spatial Geodesy, Wuhan University Press."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"863","DOI":"10.3788\/OPE.20142204.0863","article-title":"Autonomous navigation of Mars probe based on optical observation of Martian moon","volume":"22","author":"Ma","year":"2014","journal-title":"Opt. Precis. Eng."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"95","DOI":"10.1007\/s11214-005-3394-4","article-title":"Autonomous navigation for the deep impact mission encounter with comet Tempel-1","volume":"117","author":"Mastrodemos","year":"2005","journal-title":"Space Sci. Rev."},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"763","DOI":"10.1360\/SST-2021-0104","article-title":"Design and implementation of GNC system of lander and ascender module of Chang\u2019e-5 spacecraft","volume":"51","author":"Yu","year":"2021","journal-title":"Sci. Sin. Technol."},{"key":"ref_25","first-page":"48","article-title":"Tianwen-1 lander guidance navigation and control system for Mars soft landing","volume":"47","author":"Zhao","year":"2021","journal-title":"Aerosp. Control. Appl."},{"key":"ref_26","first-page":"434","article-title":"Scheme and key technologies of autonomous optical navigation for Mars exploration in cruise and capture phase","volume":"41","author":"Wang","year":"2016","journal-title":"Geomat. Inf. Sci. Wuhan Univ."},{"key":"ref_27","unstructured":"Battin, R.H. (1999). An Introduction to the Mathematics and Methods of Astrodynamics, American Institute of Aeronautics and Astronautics."},{"key":"ref_28","first-page":"32","article-title":"New autonomous navigation method based on redshift","volume":"30","author":"Zhang","year":"2013","journal-title":"Aerosp. Shanghai"},{"key":"ref_29","first-page":"64","article-title":"A study of the navigation technology and application based on astronomical spectral velocity measurement","volume":"19","author":"Zhang","year":"2020","journal-title":"Navig. Control."},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"031011","DOI":"10.1007\/s11433-017-9107-5","article-title":"Insight-HXMT observationJs of the first binary neutron star merger GW170817","volume":"61","author":"Li","year":"2018","journal-title":"Sci. China Phys. Mech. Astron."},{"key":"ref_31","unstructured":"Hill, K.A. (2007). Autonomous Navigation in Libration Point Orbits, University of Colorado at Boulder."},{"key":"ref_32","unstructured":"Bahder, T.B. (2008). Quantum Positioning Systems and Methods. (7,359,064), U.S. Patent."},{"key":"ref_33","unstructured":"Capuano, V., Botteron, C., Wang, Y., Tian, J., Leclere, J., and Farine, P.-A. (2014, January 8\u201312). GNSS\/INS\/Star tracker integrated navigation system for earth-moon transfer orbit. Proceedings of the 27th International Technical Meeting of the Satellite Division of The Institute of Navigation (ION GNSS+ 2014), Tampa, FL, USA."},{"key":"ref_34","unstructured":"Capuano, V., Shehaj, E., Botteron, C., Blunt, P., and Farine, P.-A. (2017, January 25\u201329). GNSS\/INS\/Star tracker integration for real-time on-board autonomous orbit and attitude determination in LEO, MEO, GEO and beyond. Proceedings of the 68th International Astronautical Congress, Adelaide, Australia."},{"key":"ref_35","unstructured":"Capuano, V., Opromolla, R., Cuciniello, G., Pesce, V., Sarno, S., Capuano, G., Lavagna, M., Grassi, M., Corraro, F., and Tabacco, P. (2018, January 1\u20135). A highly integrated navigation unit for on-orbit servicing missions. Proceedings of the International Astronautical Congress, Bremen, Germany."},{"key":"ref_36","doi-asserted-by":"crossref","unstructured":"Giordano, P., Malman, F., Swinden, R., Zoccarato, P., and Ventura-Traveset, J. (2022, January 25\u201327). The Lunar Pathfinder PNT experiment and on light navigation service: The future of Lunar position, navigation and timing. Proceedings of the 2022 International Technical Meeting of the Institute of Navigation, Long Beach, CA, USA.","DOI":"10.33012\/2022.18225"},{"key":"ref_37","doi-asserted-by":"crossref","unstructured":"Parker, J.J., Dovis, F., Anderson, B., Ansalone, L., Ashman, B., Bauer, F.H., D\u2019amore, G., Facchinetti, C., Fantinato, S., and Impresario, G. (2022, January 25\u201327). The Lunar GNSS Receiver Experiment (LuGRE). Proceedings of the Institute of Navigation International Technical Meeting, Long Beach, CA, USA.","DOI":"10.33012\/2022.18199"},{"key":"ref_38","unstructured":"Zhao, F. (2020). Research on Nonlinear Filtering Algorithm for Autonomous Navigation, University of Electronic Science and Technology of China."},{"key":"ref_39","first-page":"315","article-title":"Review of adaptive filtering algorithms","volume":"64","author":"Geng","year":"2008","journal-title":"Inf. Electron. Eng."},{"key":"ref_40","unstructured":"Long, A.C., Cappellari, J.O., Velez, C.E., and Fuchs, A.J. (2024, September 08). Goddard Trajectory Determination System (GTDS) Mathematical Theory (Revision 1). Available online: http:\/\/www.amsat-bda.org\/files\/gtds_math_theory_jul89.pdf."},{"key":"ref_41","doi-asserted-by":"crossref","first-page":"279","DOI":"10.2514\/3.26607","article-title":"Autonomous navigation for lunar transfer","volume":"32","author":"Tuckness","year":"1995","journal-title":"J. Spacecr. Rocket."},{"key":"ref_42","doi-asserted-by":"crossref","first-page":"592","DOI":"10.1049\/iet-spr.2015.0389","article-title":"Extended target tracking filter with intermittent observations","volume":"10","author":"Shi","year":"2016","journal-title":"IET Signal Process."},{"key":"ref_43","doi-asserted-by":"crossref","first-page":"463","DOI":"10.1049\/iet-spr.2017.0184","article-title":"Celestial navigation in deep space exploration using spherical simplex unscented particle filter","volume":"12","author":"Zhao","year":"2018","journal-title":"IET Signal Process."},{"key":"ref_44","doi-asserted-by":"crossref","first-page":"69","DOI":"10.1002\/j.2161-4296.1993.tb02295.x","article-title":"Comparison and analysis of centralized, decentralized, and federated filters","volume":"40","author":"Gao","year":"1993","journal-title":"Navigation"},{"key":"ref_45","doi-asserted-by":"crossref","first-page":"129","DOI":"10.1007\/s12555-016-0801-4","article-title":"Multi-sensor optimal data fusion for INS\/GNSS\/CNS integration based on unscented Kalman filter","volume":"16","author":"Gao","year":"2018","journal-title":"Int. J. Control. Autom. Syst."},{"key":"ref_46","doi-asserted-by":"crossref","first-page":"8504011","DOI":"10.1109\/TIM.2023.3281565","article-title":"Robust unscented Kalman filter-based decentralized multisensor information fusion for INS\/GNSS\/CNS integration in hypersonic vehicle navigation","volume":"72","author":"Hu","year":"2023","journal-title":"IEEE Trans. Instrum. Meas."},{"key":"ref_47","doi-asserted-by":"crossref","first-page":"6991","DOI":"10.3390\/s110706991","article-title":"A celestial assisted INS initialization method for lunar explorers","volume":"11","author":"Ning","year":"2011","journal-title":"Sensors"},{"key":"ref_48","doi-asserted-by":"crossref","unstructured":"Donaldson, J.E., Parker, J.K., Moreau, M.C., Highsmith, D.E., and Martzen, P. (2018, January 24\u201328). Characterization of On-Orbit GPS Transmit Antenna Patterns for Space Users. Proceedings of the ION GNSS, Miami, FL, USA.","DOI":"10.33012\/2018.15967"}],"container-title":["Remote Sensing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2072-4292\/16\/22\/4214\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T16:30:49Z","timestamp":1760113849000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2072-4292\/16\/22\/4214"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,11,12]]},"references-count":48,"journal-issue":{"issue":"22","published-online":{"date-parts":[[2024,11]]}},"alternative-id":["rs16224214"],"URL":"https:\/\/doi.org\/10.3390\/rs16224214","relation":{},"ISSN":["2072-4292"],"issn-type":[{"value":"2072-4292","type":"electronic"}],"subject":[],"published":{"date-parts":[[2024,11,12]]}}}