Space-based Optical Target Determination Based on Gooding Algorithm
-
摘要: 开展了基于Gooding算法的400km天基平台光学目标监测的轨道确定研究,当测量误差为3”和6”时,分别对800,1500及36000km轨道高度目标进行初始轨道确定及轨道改进分析.仿真结果表明,利用400km轨道高度平台对800~1500km轨道高度目标进行初定轨,测量数据误差为3”~6”时,4~15min弧段的初定轨精度约在10km量级,1~2min弧段的初定轨精度约在100km量级;15min初定轨弧段轨道改进后误差在100m量级,弧段小于10min时轨道改进误差精度在km量级.利用400km轨道高度平台对36000km轨道高度目标进行初定轨,测量数据误差为3”时,15~20min弧段的初定轨精度约在数十km量级,8~10min弧段的初定轨精度在100km量级;轨道改进后误差在km量级.测量数据误差为6”时,20min弧段初定轨精度在10km量级,8~15min弧段初定轨精度在100km量级,轨道改进后误差精度在10km量级.Abstract: In this paper, optical target monitoring orbit determination using the Gooding algorithm based on the 400km altitude space platform was researched. The measurement error was set to 3" and 6" respectively for 800km, 1500km altitude low Earth orbits and 36000km altitude geosynchronous orbit to determine the initial orbit and precise orbit. Simulation results show that the initial orbit determination accuracy of the 4~15min arc is about 10km, and the 1~2min arc is about 100km when the measurement data error is between 3" and 6". The error of 15min initial determination arc is 100m. As the arc is less than 10min, the improved error accuracy of the orbit is in the order of km scale. As the measurement data error is 3", the initial orbit determination accuracy of the 15~20min arc is about tens of kilometers, and that of the 8~10min arc is 100km. The improved orbit has an error of km. When the measurement data error is 6", the accuracy of the initial orbit determination of the 20min arc is at the magnitude of 10km, the accuracy of the initial orbit determination of the 8~15min arc is at the magnitude of 100km, and the error accuracy of the improved orbit is at the magnitude of 10km.
-
Key words:
- Space-based observation /
- Optical measurement /
- Gooding algorithm /
- IOD /
- Target determination
-
[1] LIU Lin, WANG Haihong, HU Songjie, et al. Summary on satellite orbit determination[J]. J. Spacecraft TT&C Technol., 2005, 24(2):28-34 (刘林, 王海红, 胡松杰, 等. 卫星定轨综述[J]. 飞行器测控学报, 2005, 24(2):28-34) [2] LIU Lin, WANG Jianfeng. On initial orbit determination[J]. J. Spacecraft TT&C Technol., 2004, 23(3):41-45 (刘林, 王 建峰. 关于初轨计算[J]. 飞行器测控学报, 2004, 23(3):41-45) [3] LU Benkui, LI Jianfeng, MA Jingyuan, et al. A method of perturbed initial orbit determination[J]. J. Astronaut., 1999, 20(1):14-20 (陆本魁, 李剑锋, 马静远, 等. 一种有摄初轨计算的单位矢 量法[J]. 宇航学报, 1999, 20(1):14-20) [4] RONG Pengzhi, LU Benkui. An improved laplacian method for computing orbits[J]. Acta Astron. Sin., 1991, 32(1):62-72 (戎鹏志, 陆本魁. 一种改进型的Laplace轨道计算方法[J]. 天文学报, 1991, 32(1):62-72) [5] CHEN Wushen, LU Benkui, MA jingyuan. The mathematical model of unit vector method and iterative method for its simplification[J]. Acta Astron. Sin., 2007, 48(3):343-354 (陈务深, 陆本魁, 马 静远. 单位矢量法的数学模型(MMUVM)及其简化形式(PUVMI)的迭代法的收敛性[J]. 天文学报, 2007, 48(3):343-354) [6] MA Jingyuan, ZHANG Jing, LU Benkui. Demonstration and simulation of autonomous orbit determination of small satellite constellation[J]. J. Spacecraft TT&C Technol., 2004, 23(1):43-49 (马静远, 掌静, 陆本魁. 小卫星星座自主定轨的论证与仿真[J]. 飞行器测控学报, 2004, 23(1):43-49) [7] (贾沛璋, 吴连大. 初轨计算的参考矢量法[J]. 天文学报, 1997, 38(4):353-358JIA Peizhang, WU lianda. A reference vector algorithm for initial orbit computation[J]. Acta Astron. Sin., 1997, 38(4):353-358 [8] JIA Peizhang, WU lianda. A robust algorithm for initial orbit determination[J]. Acta Astron. Sin., 2000, 41(2):123-128 (贾沛璋, 吴连大. 初轨的稳健估计算法[J]. 天文学报, 2000, 41(2):123-128) [9] JIA Peizhang, WU Lianda. An iterative algorithm of the initial orbit determination with prior value of the element e or a[J]. J. Purple Mount. Observ., 1999, 18(1):18-25 (贾沛璋, 吴连大. 已知e 或a的先验值的初轨迭代算法[J]. 紫金山天文台台刊, 1999, 18(1):18-25) [10] JEAN-SÉBASTIEN Ardaens, GABRIELLA Gaias. A numerical approach to the problem of angles-only initial relative orbit determination in low Earth orbit[J]. Adv. Space Res., 2019, 63(12):3884-3899 [11] LI Xinran, WANG Xin, XIONG Yongqing. A combination method using evolutionary algorithms in initial orbit determination for too short arc[J]. Adv. Space Res., 2019, 63(2):999-1006 [12] GAN Qingbo, MA Jingyuan, LU Benkui, et al. An initial orbit determination method using inter satellite angle measurement[J]. J. Astronaut., 2007, 28(3):619-622 [13] LIU Lei, XI Xiaoning, RONG Zhipeng, et al. An method and corresponding arithmetic of initial orbit determination based on sparse space-based angle measurements[J]. J. Astronut., 2009, 30(3):870-876 [14] LIU Lei. Study on the Initial Orbit Determination of Space Targets with Space-based Surveillance[D]. Changsha:National University of Defense Technology, 2010
点击查看大图
计量
- 文章访问数: 600
- HTML全文浏览量: 99
- PDF下载量: 68
- 被引次数: 0