引用本文: | 谢小刚,曾大治,龙腾,等.北斗GEO卫星用户算法的改进方法[J].国防科技大学学报,2014,36(1):82-87.[点击复制] |
XIE Xiaogang,ZENG Dazhi,LONG Teng,et al.An improved ephemeris algorithm of Beidou GEO satellite for user[J].Journal of National University of Defense Technology,2014,36(1):82-87[点击复制] |
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北斗GEO卫星用户算法的改进方法 |
谢小刚, 曾大治, 龙腾, 张磊 |
(北京理工大学信息与电子学院,北京 100081)
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摘要: |
针对北斗GEO用户算法需要进行5°倾角的坐标旋转处理这一过程,提出了采用经典广播星历参数用户算法直接解算北斗GEO卫星位置的改进方法,并同时给出了相应的基于第二类无奇点根数的广播星历拟合算法。该算法采用第二类无奇点轨道根数代替经典轨道根数,解决了由GEO轨道的小倾角特性引起的经典广播星历参数拟合过程中法化矩阵奇异的问题。从而避免了北斗GEO用户算法中坐标旋转处理过程,减少了GEO用户算法的计算步骤。仿真表明,提出的改进方法在卫星轨道拟合过程中与原算法精度相当;在卫星轨道外推过程中与原算法相比略有精度损失,但仍满足用户导航定位精度的需求。采用实际北斗GEO星历解算的轨道数据验证了改进算法的有效性。 |
关键词: 北斗卫星导航系统 GEO卫星 广播星历拟合 第二类无奇点轨道根数 |
DOI:10.11887/j.cn.201401015 |
投稿日期:2013-04-21 |
基金项目:国家自然科学基金资助项目(61001128) |
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An improved ephemeris algorithm of Beidou GEO satellite for user |
XIE Xiaogang, ZENG Dazhi, LONG Teng, ZHANG Lei |
(School of Information and Electronics, Beijing Institute of Technology, Beijing 100081,China)
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Abstract: |
The orbital inclination of 5°coordinate rotation is required in the GEO ephemeris algorithm for users. Aimed at this step, an improved method that the BeiDou GEO satellite position is calculated directly by using the classical broadcast ephemeris algorithm for user was presented, and meanwhile the corresponding broadcast ephemeris fitting algorithm based on the second class of non singularity orbit elements was given. In this method, the classical orbit elements were replaced by the second class of non-singular orbit elements, which solves the problem that the coefficient matrix is non-positive in the process of the classical broadcast ephemeris fitting algorithm because of the small inclination angle. This avoids the orbital inclination of 5°coordinate rotation process, decreases the calculating steps time and enhances the GEO ephemeris algorithmic efficiency. The simulation results show that the accuracy of the improved method is as much as the original algorithm in the satellite orbit fitting process and is reduced slightly in the satellite orbit extrapolation process. But it can still meet the requirement of navigation and position for users. Finally, the validity of the improved algorithm is verified by using orbital data of the actual BeDou GEO broadcast ephemeris.
〖WTHZ〗Key words: 〖WTBZ〗BeiDou satellite navigation system; GEO satellite; broadcast ephemeris fitting; the second class of non singularity orbit elements |
Keywords: BeiDou satellite navigation system GEO satellite broadcast ephemeris fitting the second class of non-singularity orbit elements |
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