Journal of Astronautics ›› 2016, Vol. 37 ›› Issue (11): 1298-1303.doi: 10.3873/j.issn.1000-1328.2016.11.003

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Almanac Designing with Second Class of Nonsingular Orbital Elements for BeiDou Navigation Satellite System

CHANG Zhi qiao, HU Xiao gong, DU Lan, GUO Ri, HE Feng, LI Xiao jie, WANG Yan, DONG En qiang   

  1. 1. Shanghai Astronomical Observatory, Chinese Academy of Sciences,Shanghai 200030, China;
    2. Beijing Satellite Navigation Center, Beijing 100094, China;
    3.College of Navigation & Aerospace Engineering,Information Engineering University,Zhengzhou 450001, China;
    4. National Defense University,Beijing 100091,China
  • Received:2016-04-07 Revised:2016-06-21 Online:2016-11-15 Published:2016-11-25


In order to unify the almanac fitting algorithm for three kinds of the satellites of the BeiDou navigation satellite system, the method of designing the almanac parameters based on the second class of nonsingular orbital elements is proposed. The rate of the inclination vector is designed for the perturbation parameters and the user algorithm of the new almanac model is provided. The almanac fitting test is carried out based on the numerical orbits of the BeiDou satellites in orbit throughout 2013. The results show that the fitting position error for geostationary Earth orbit (GEO) and inclined geosynchronous satellite orbit(IGSO) is from 2 to 4km and the fitting user range error (URE) is about 1km. The fitting position error for medium Earth orbit(MEO) is from 1 to 2km and the fitting URE is about 0.5km. Through the analysis for the 6 orbital elements parameter variation range, the interface about scale factor and effective range are designed. The quantitative error for the almanac expression is analyzed, and the results show that the position error caused by the truncation is less than 50m, and the URE caused by the truncation is less than 5m. Therefore, the influence of the almanac quantitative error on signal capture and TTFF (Time to first fix)can be ignored.

Key words: BeiDou navigation satellite system;Almanac fitting, Non-singular orbital elements;Quantitative error

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