ACTA AERONAUTICAET ASTRONAUTICA SINICA >
Initial orbit determination for space-based optical space surveillance
Received date: 2021-09-29
Revised date: 2021-11-13
Accepted date: 2022-02-14
Online published: 2022-02-28
Supported by
National Natural Science Foundation of China(12073045);Youth Innovation Promotion Association of Chinese Academy of Sciences(2018183)
Initial Orbit Determination （IOD） is a difficult problem in space-based optical space surveillance. Based on a discussion of the reason for the convergence of the calculation results converge to the trivial solution， an improved IOD procedure that eliminates the trivial solution is proposed. By constructing the 8th polynomial equation of the Laplace method， the relationship between the properties of coefficients and roots when the space target is at different relative positions is analyzed. For the phenomenon that the classical Laplace-type IOD method converges to the orbit of observation platform， the mathematical characterization and numerical verification of the trivial solution are given， and an elimination method is proposed. Since the IOD method using distance search based on the Lambert problem is relatively sensitive to the initial value of space-based target monitoring， the Gooding method is modified by the trivial solution elimination method， and a new method suitable for IOD of space-based space targets is proposed. Finally， the method is verified by measured data of low Earth orbit target monitoring and simulation data of geosynchronous orbit target monitoring. The results show that this method can effectively solve the trivial solution and initial value sensitive problems. The method has the characteristics of fast convergence speed and reliable accuracy， and is thus universal， easy to understand and generalize.
Kexin ZHAO , Qingbo GAN , Jing LIU . Initial orbit determination for space-based optical space surveillance[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2023 , 44(1) : 326465 -326465 . DOI: 10.7527/S1000-6893.2022.26465
| 1 | MILL J D, GUILMAIN B D. The MSX Mission Objectives [J]. Johns Hopkins APL Technical Digest, 1996, 17(1): 4-10. |
| 2 | BARNHART D, HUNTER R, WESTON A, et al. XSS-10 micro-satellite demonstration: AIAA-1998-5298[R]. Reston: AIAA, 1998. |
| 3 | RICHARDS R, TRIPP J, PASHIN S, et al. Advances in autonomous orbital rendezvous technology: the XSS-11 lidar sensor[C]∥Proceedings of the 57th International Astronautical Congress. Valencia: IAC, 2006. |
| 4 | SHARMA J, STOKES G H, VON BRAUN C, et al. Toward operational space-based space surveillance[J]. Lincoln Laboratory Journal, 2002, 13(2): 309–334. |
| 5 | Vallado D A, Griesbach J D. Simulating space surveillance networks[C]∥AAS/AIAA Astrodynamics Specialist Conference, Reston: AIAA, 2011. |
| 6 | DU J L, LEI X X, SANG J Z. A space surveillance satellite for cataloging high-altitude small debris[J]. Acta Astronautica, 2019, 157: 268-275. |
| 7 | SCOTT R, WALLACE B, SALE M, et al. Toward microsatellite-based space situational awareness[C]∥Advanced Maui Optical and Space Surveillance Conference, Hawaii: The Maui Economic Development Board, 2013: 1-10. |
| 8 | KOBLICK D, XU S, SHANKAR P. Publicly available geosynchronous (GEO) space object catalog for future space situational awareness (SSA) studies[C]∥Advanced Maui Optical and Space Surveillance Technologies Conference, Hawaii: The Maui Economic Development Board, 2017: 99. |
| 9 | SWARTWOUT M, KITTS C, TWIGGS R, et al. Mission results for Sapphire, a student-built satellite[J]. Acta Astronautica, 2008, 62(8-9): 521-538. |
| 10 | DAVIS T M. Operationally responsive space-the way forward [C]∥The 29th Annual AIAA/USU Conference on Small Satellites.Restion: AIAA, 2015. |
| 11 | SIMMS L, RIOT V, VRIES W, et al. Optical payload for the STARE mission: LLNL-CONF-474234[R]. Livermore: Lawrence Livermore National Laboratory, 2011. |
| 12 | 甘庆波, 马静远, 陆本魁, 等. 一种基于星间方向观测的初轨计算方法[J]. 宇航学报, 2007, 28(3): 619-622. |
| GAN Q B, MA J Y, LU B K, et al. An initial orbit determination method using inter satellite angle measurement[J]. Journal of Astronautics, 2007, 28(3): 619-622 (in Chinese). | |
| 13 | 刘林, 张巍. 关于各种类型数据的初轨计算方法[J]. 飞行器测控学报, 2009, 28(3): 70-76. |
| LIU L, ZHANG W. Initial orbit determination for different data types[J]. Journal of Spacecraft TT＆C Technology, 2009, 28(3): 70-76 (in Chinese). | |
| 14 | 刘光明. 基于连续同伦算法的天基仅测角初定轨方法[J]. 飞行器测控学报, 2015, 34(5): 453-458. |
| LIU G M. Space-based bearings-only initial orbit determination method based on homotopy continuation theory[J]. Journal of Spacecraft TT＆C Technology, 2015, 34(5): 453-458 (in Chinese). | |
| 15 | 李骏, 安玮, 周一宇. 天基光学超短弧段测量的约束域分析方法[J]. 信号处理, 2009, 25(6): 911-915. |
| LI J, AN W, ZHOU Y Y. Analysis methods in admissible region of too short arcs in space-based optical surveillance[J]. Signal Processing, 2009, 25(6): 911-915 (in Chinese). | |
| 16 | 刘磊. 基于天基监视的空间目标测向初轨确定研究[D]. 长沙: 国防科学技术大学, 2010: 44-52. |
| LIU L. Study on the initial orbit determination of space targets with space-based surveillance[D]. Changsha: National University of Defense Technology, 2010: 44-52 (in Chinese). | |
| 17 | 章品, 桑吉章, 潘腾, 等. 应用距离搜索的低轨空间碎片初始轨道确定方法[J]. 航天器工程, 2017, 26(2): 22-28. |
| ZHANG P, SANG J Z, PAN T, et al. Initial orbit determination method based on range searching for LEO space debris[J]. Spacecraft Engineering, 2017, 26(2): 22-28 (in Chinese). | |
| 18 | CHARLIER C V L. On multiple solutions in the determination of orbits from three observations[J]. Monthly Notices of the Royal Astronomical Society, 1910, 71(2): 120-124. |
| 19 | CHARLIER C V L. Second note on multiple solutions in the determination of orbits from three observations [J]. Monthly Notices of the Royal Astronomical Society, 1911, 71(5): 454-460. |
| 20 | GOODING R H. A new procedure for the solution of the classical problem of minimal orbit determination from three lines of sight[J].Celestial Mechanics and Dynamical Astronomy, 1996, 66(4): 387-423. |
| 21 | ESCOBAL P R. Methods of orbit determination[M]. New York: Wiley, 1965. |
| 22 | VALLADO D. Evaluating gooding angles-only orbit determination of space based space surveillance measurements[C]∥AAS Born Symposium. San Diego: AAS, 2010: 1-22. |
/
| 〈 |
|
〉 |
CJA