High-accuracy Long Arc Almanac Model Design for BDS

doi:10.11947/j.AGCS.2018.20170103

Abstract

Abstract: Almanac parameters can be used to assist signal acquisition for both conventional navigation and autonomous navigation. The extended validity of the almanac parameters not only enables the terrestrial receiver to make full use of almanac data when starting up,but also determines the frequency of the almanac uploaded and the satellite storage resources on-board for autonomous navigation with inter-satellite link observation. Based on analysis of the major perturbations of three types of BeiDou satellites and their effects on the long-term and long-period terms of the orbital elements,an almanac model with six orbital elements and five perturbation parameters is designed. The almanac fitting test is carried out based on the 90-day long arc orbit of BeiDou satellites in orbit throughout 2013. The results show that the new almanac model improves accuracy of almanac fitting. For Geostationary Earth Orbit (GEO) and Inclined Geosynchronous Orbit (IGSO) satellites,position fitting error is reduced from 200 km to more than 10 km even to several km and velocity error is reduced from 15 m/s to 0.6 m/s. The accuracy of the new model is about 20 to 30 times higher than that of the conventional model. For Medium Earth Orbit (MEO) satellite,position fitting error is about 5 km and velocity error is about 0.6 m/s regardless of which model,and the accuracy of the new method is improved about 15%. For 10 km position error upper limit of inter-satellite link,the maximum fitting arc length of the conventional model is about 14 days,and the maximum fitting arc length of the new almanac model can be extended to 45 days. The new almanac model extends the validity of almanac parameters,and optimizes almanac model for BeiDou Navigation Satellite System (BDS).

Key words: BDS, almanac fitting, signal acquisition, inter-satellite link, velocity

CLC Number:

P228

CHANG Zhiqiao, HU Xiaogong, CHEN Liucheng, LI Xiaojie, ZU Anran, TANG Chengpan, HUANG Hua. High-accuracy Long Arc Almanac Model Design for BDS[J]. Acta Geodaetica et Cartographica Sinica, 2018, 47(3): 298-307.

References

[1] 中国卫星导航系统管理办公室.北斗卫星导航系统空间信号接口控制文件:公开服务信号(2.0版)[R].北京:中国卫星导航系统管理办公室,2013. China Satellite Navigation Office.BeiDou Navigation Satellite System Signal in Space Interface Control Document Open Service Signal (Version 2.0)[R].Beijing:China Satellite Navigation Office,2013.
[2] VAN DIERENDONK A J.全球定位系统的导航电文[C]//导航星全球定位系统.北京:测绘出版社,1994:64-87.
[3] KAPLAN E D.Understanding GPS:Principles and Applications[M].New York:Artech House,1996.
[4] 王陆潇,黄智刚,赵昀.多类型历书对首次定位性能的影响研究[J].武汉大学学报(信息科学版),2013,38(2):140-143. WANG Luxiao,HUANG Zhigang,ZHAO Yun.Two Sets of GPS Almanac on Time-to-First-Fix Influence[J].Geomatics and Information Science of Wuhan University,2013,38(2):140-143.
[5] 王梦丽,陈华明,王飞雪.GPS历书数据的有效龄期[J].遥测遥控,2007,28(3):31-35. WANG Mengli,CHEN Huaming,WANG Feixue.Effective Age of GPS Almanac Data[J].Journal of Telemetry,Tracking,and Command,2007,28(3):31-35.
[6] 刘利,时鑫,栗靖,等.北斗基本导航电文定义与使用方法[J].中国科学(物理学力学天文学),2015,45(7):079509. LIU Li,SHI Xin,LI Jing,et al.The Definition and Using Method of the COMPASS Basic Navigation Message[J].Scientia Sinica (Physica,Mechanica & Astronomica),2015,45(7):079509.
[7] 何峰,王刚,刘利,等.地球静止轨道卫星广播星历参数拟合与试验分析[J].测绘学报,2011,40(S1):52-58. HE Feng,WANG Gang,LIU Li,et al.Ephemeris Fitting and Experiments Analysis of GEO Satellite[J].Acta Geodaetica et Cartographica Sinica,2011,40(S1):52-58.
[8] 李献斌,王跃科,陈建云.导航星座星间链路信号捕获搜索策略研究[J].宇航学报,2014,35(8):946-952. LI Xianbin,WANG Yueke,CHEN Jianyun.Research on the Acquisition Search Strategy of Navigation Constellation Inter-Satellite Link[J].Journal of Astronautics,2014,35(8):946-952.
[9] 刘林.航天器轨道理论[M].北京:国防工业出版社,2000. LIU Lin.Orbit Theory of Spacecraft[M].Beijing:National Defense Industry Press,2000.
[10] 黄华.导航卫星广播星历参数模型及拟合算法研究[D].南京:南京大学,2012. HUANG Hua.Research on the Broadcast Ephemeris Parameters Model and Its Fitting Algorithm[D].Nanjing:Nanjing University,2012.
[11] BREITER S,WYTRZYSZCZAK I,MELENDO B.Long-term Predictability of Orbits Around the Geosynchronous Altitude[J].Advances in Space Research,2005,35(7):1313-1317.
[12] DU Lan,ZHANG Zhongkai,ZHANG Jin,et al.An 18-Element GEO Broadcast Ephemeris Based on Non-singular Elements[J].GPS Solutions,2015,19(1):49-59.
[13] IS-GPS-200G (2012) Navstar GPS Space Segment/Navigation User Interface.Global Positioning System Wing,Space and Missile Systems Center[EB/OL].[2012-07-18].http://www.navcen.uscg.gov.
[14] IS-GPS-705C (2012) Navstar GPS Space Segment/User Segment L5 Interfaces.Global Positioning System Wing,Space and Missile Systems Center[EB/OL].[2012-07-18].http://www.navcen.uscg.gov.
[15] 黄华,刘林,周建华,等.18参数广播星历分析研究[J].飞行器测控学报,2012,31(3):80-84. HUANG Hua,LIU Lin,ZHOU Jianhua,et al.Research on 18 Elements Broadcast Ephemeris Model[J].Journal of Spacecraft TT & C Technology,2012,31(3):80-84.
[16] 黄华,何峰,刘林.广播星历参数物理意义分析与相关性研究[J].宇航学报,2014,35(2):171-176. HUANG Hua,HE Feng,LIU Lin.Research on Physical Meaning and Correlation of Broadcast Ephemeris Parameters[J].Journal of Astronautics,2014,35(2):171-176.
[17] HUGENTOBLER U,PLONER M,SCHILDNECHT T,et al.Determination of Resonant Geopotential Terms Using Optical Observations of Geostationary Satellites[J].Advances in Space Research,1999,23(4):767-770.
[18] 李恒年.地球静止卫星轨道与共位控制技术[M].北京:国防工业出版社,2010. LI Hengnian.Geostationary Satellite Orbital Analysis and Collocation Strategies[M].Beijing:National Defense Industry Press,2010.
[19] 陈刘成,李静,马瑞,等.工程化广播星历参数拟合算法与接口设计[J].武汉大学学报(信息科学版),2011,36(1):18-23. CHEN Liucheng,LI Jing,MA Rui,et al.The Engineering Design for Broadcast Ephemeris Parameters Fitting Arithmetic and Their Interfaces[J].Geomatics and Information Science of Wuhan University,2011,36(1):18-23.
[20] 黄勇,胡小工,王小亚,等.中高轨卫星广播星历精度分析[J].天文学进展,2006,24(1):81-88. HUANG Yong,HU Xiaogong,WANG Xiaoya,et al.Precision Analysis of Broadcast Ephemeris for Medium and High Orbit Satellites[J].Progress in Astronomy,2006,24(1):81-88.
[21] 阮仁桂,贾小林,吴显兵,等.关于坐标旋转法进行地球静止轨道导航卫星广播星历拟合的探讨[J].测绘学报,2011,40(S1):145-150. RUAN Rengui,JIA Xiaolin,WU Xianbing,et al.Broadcast Ephemeris Parameters Fitting for GEO Satellites Based on Coordinate Transformation[J].Acta Geodaetica et Cartographica Sinica,2011,40(S1):145-150.
[22] 张中凯,杜兰,刘利,等.GEO广播星历参数设计的无奇点根数法[J].测绘学报,2014,43(5):452-457.DOI:10.13485/j.cnki.11-2089.2014.0076. ZHANG Zhongkai,DU Lan,LIU Li,et al.Parameter Design of GEO Broadcast Ephemeris Based on the Nonsingular Orbital Elements[J].Acta Geodaetica et Cartographica Sinica,2014,43(5):452-457.DOI:10.13485/j.cnki.11-2089.2014.0076.
[23] 常志巧,郝金明,张成军.配置积分方法在GPS卫星轨道确定中的应用[J].海洋测绘,2006,26(2):31-33. CHANG Zhiqiao,HAO Jinming,ZHANG Chengjun.The Application of Collocation Integration Method in the Orbit Determination of GPS Satellites[J].Hydrographic Surveying and Charting,2006,26(2):31-33.
[24] BEUTLER G,BOCK H,DACH R,et al.Bernese GPS Software Version 5.0[M].Bern,Switzerland:University of Bern,2007.
[25] 刘伟平,郝金明,李作虎.由广播星历解算卫星位置、速度及精度分析[J].大地测量与地球动力学,2010,30(2):144-147. LIU Weiping,HAO Jinming,LI Zuohu.Solution Method and Accuracy Analysis of Satellite Position and Velocity from Broadcast Ephemeris[J].Journal of Geodesy and Geodynamics,2010,30(2):144-147.
[26] 李显,吴美平,张开东,等.导航卫星速度和加速度的计算方法及精度分析[J].测绘学报,2012,41(6):816-824. LI Xian,WU Meiping,ZHANG Kaidong,et al.Navigation Satellites Velocity and Acceleration Computation:Methods and Accuracy Analysis[J].Acta Geodaetica et Cartographica Sinica,2012,41(6):816-824.
[27] 中国卫星导航系统管理办公室.北斗卫星导航系统空间信号接口控制文件公开服务信号B1C、B2a(测试版)[R].北京:中国卫星导航系统管理办公室,2017. China Satellite Navigation Office.BeiDou Navigation Satellite System Signal in Space Interface Control Document Open Service Signal B1C and B2a (Beta)[R].Beijing:China Satellite Navigation Office,2017.