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Initial results of distributed autonomous orbit determination for Beidou BDS-3 satellites based on inter-satellite link measurements

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Abstract

Autonomous orbit determination (AOD) is the ability of navigation satellites to estimate with accurate satellite orbit parameters using onboard using inter-satellite link (ISL) measurements. To overcome the unobservability of the constellation rotation error in AOD when using only the ISL measurements, the properties that the orbit inclination \( i \) and the longitude of the ascending node \( \varOmega \) of the medium earth orbit (MEO) navigation satellites, which can be predicted with high accuracy over a long time, are explored. This leads to an onboard extended Kalman filter (EKF) where \( \left( {i,\varOmega } \right) \) are subjected to constraints. Three experiments are carried out to assess the effectiveness of the proposed AOD EKF and analyze the causes of the constellation rotation error by processing 30-day ISL measurements of 18 MEO satellites of BDS-3 in a distributed mode. The results verify that the proposed EKF with \( \left( {i,\varOmega } \right) \) constraints can resolve the unobservable constellation rotation error issue effectively. When using precise EOP parameters, the 3D orbit errors of BDS-3 AOD in 30 days could be less than 2.30 m. The errors increase to 3.4 m when the predicted EOP parameters are used.

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Acknowledgements

This research was funded by the National Natural Science Foundation of China (No. 91638203). We would like to thank Bei**g Satellite Navigation Canter for providing the ISL data. Specific thanks appertain to the **aogong Hu and Chenpan Tang from Shanghai Astronomical Observatory for their helpful suggestions to improve the quality of the article during revision process.

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Authors and Affiliations

  1. School of Geodesy and Geomatics, Wuhan University, Luoyu Road 129, 430079, Wuhan, China

    Lei Guo, Fuhong Wang, Xuewen Gong, Jizhang Sang, Wanke Liu & Wanwei Zhang

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  1. Lei Guo
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  2. Fuhong Wang
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  3. Xuewen Gong
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  4. Jizhang Sang
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Correspondence to Fuhong Wang.

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Guo, L., Wang, F., Gong, X. et al. Initial results of distributed autonomous orbit determination for Beidou BDS-3 satellites based on inter-satellite link measurements. GPS Solut 24, 72 (2020). https://doi.org/10.1007/s10291-020-00985-0

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