Systems Engineering and Electronics ›› 2022, Vol. 44 ›› Issue (8): 2601-2611.doi: 10.12305/j.issn.1001-506X.2022.08.25
• Guidance, Navigation and Control • Previous Articles Next Articles
Dawei LI1,2,3,*, Jing LIU1,2,3, Xiyan PENG1,2, Yao ZHANG1,2,3, Yanhao XIE4
Received:
2021-04-27
Online:
2022-08-01
Published:
2022-08-24
Contact:
Dawei LI
CLC Number:
Dawei LI, Jing LIU, Xiyan PENG, Yao ZHANG, Yanhao XIE. Initial orbit determination for a near-circular orbit of space debris with space-based short-arcs method and experiment[J]. Systems Engineering and Electronics, 2022, 44(8): 2601-2611.
Table 1
Initial parameters estimation results"
参数 | 赤经/(°) | 赤纬/(°) | 赤经变率/((°)/s) | 赤纬变率/((°)/s) |
真值 | 286.879 987 | -31.571 968 | 0.031 269 | 0.061 793 |
估计值 | 286.877 894 | -31.572 847 | 0.031 315 | 0.061 872 |
置信区间下限(95%) | 286.877 855 | -31.572 906 | 0.031 289 | 0.061 823 |
置信区间上限(95%) | 286.877 933 | -31.572 789 | 0.031 343 | 0.061 903 |
偏差 | 2.08e-03 | -8.89e-04 | 4.44e-05 | 7.78e-05 |
Table 2
Initial orbit and accuracy of admissible region method using 363 s observation"
参数 | 半长轴/km | 偏心率/(°) | 轨道倾角/(°) | 升交点赤经/(°) | 近地点角/(°) | 平近点角/(°) | 近地点角+平近点角/(°) |
真值 | 7 008.557 | 0.002 | 97.928 | 299.953 | 50.553 | 199.637 | 250.190 |
初始轨道 | 7 019.035 | 0.001 | 97.927 | 299.947 | 17.806 | 232.395 | 250.201 |
偏差 | 10.478 | -0.001 | -0.001 | -0.006 | -32.747 | 32.758 | 0.011 |
标准差 | 9.215 | 0.000 | 0.016 | 0.123 | 0.000 | 0.000 | 0.256 |
Table 3
Initial orbit and accuracy of admissible region method using 244 s observation"
偏差项 | 半长轴/km | 偏心率/(°) | 轨道倾角/(°) | 升交点赤经/(°) | 近地点角/(°) | 平近点角/(°) | 近地点角+平近点角/(°) |
真值 | 7 008.557 | 0.002 | 97.928 | 299.953 | 50.553 | 199.637 | 250.190 |
初始轨道 | 7 027.699 | 0.001 | 97.922 | 299.957 | 317.025 | 293.201 | 250.225 |
偏差 | 19.142 | -0.001 | -0.006 | 0.003 | 266.472 | 93.563 | 0.035 |
标准差 | 20.444 | 0.001 | 0.033 | 0.253 | 0.000 | 0.000 | 0.524 |
Table 4
Initial orbit and accuracy of admissible region method using 124 s observation"
偏差项 | 半长轴/km | 偏心率/(°) | 轨道倾角/(°) | 升交点赤经/(°) | 近地点角/(°) | 平近点角/(°) | 近地点角+平近点角/(°) |
真值 | 7 008.557 | 0.002 | 97.928 | 299.953 | 50.553 | 199.637 | 250.190 |
初始轨道 | 7 031.524 | 0.001 | 97.928 | 299.874 | 274.728 | 335.331 | 250.059 |
偏差 | 22.967 | -0.001 | 0 | -0.079 | 224.175 | 135.694 | -0.131 |
标准差 | 47.979 | 0.003 | 0.080 | 0.583 | 0.000 | 0.000 | 1.214 |
Table 5
Initial orbit and accuracy of the circular orbit assumption method using 363 s observation"
偏差项 | 半长轴/km | 偏心率/(°) | 轨道倾角/(°) | 升交点赤经/(°) | 近地点角/(°) | 平近点角/(°) | 近地点角+平近点角/(°) |
真值 | 7 008.557 | 0.002 | 97.928 | 299.953 | 50.553 | 199.637 | 250.190 |
圆轨道 | 7 017.755 | 0 | 97.949 | 299.780 | 0 | 249.738 | 249.738 |
偏差 | 9.198 | -0.002 | 0.021 | -0.173 | -50.553 | 50.101 | -0.452 |
Table 6
Initial orbit and accuracy of the circular orbit assumption method using 4 s observation"
偏差项 | 半长轴/km | 偏心率/(°) | 轨道倾角/(°) | 升交点赤经/(°) | 近地点角/(°) | 平近点角/(°) | 近地点角+平近点角/(°) |
真值 | 7 008.557 | 0.002 | 97.928 | 299.953 | 50.553 | 199.637 | 250.190 |
圆轨道 | 7 018.968 | 0.000 | 97.936 | 299.784 | 0.000 | 0.000 | 249.837 |
偏差 | 10.410 | -0.002 | 0.008 | -0.170 | -50.553 | 50.200 | 0.353 |
Table 7
Initial orbit and accuracy of the circular orbit assumption+admissible region method using 4 s observation"
参数 | 半长轴/km | 偏心率/(°) | 轨道倾角/(°) | 升交点赤经/(°) | 近地点角/(°) | 平近点角/(°) | 近地点角+平近点角/(°) |
真值 | 7 008.557 | 0.002 | 97.928 | 299.953 | 50.553 | 199.637 | 250.190 |
初始轨道 | 7 040.085 | 0.002 | 97.922 | 299.895 | 263.916 | 346.189 | 250.105 |
偏差 | 31.528 | 0.000 | -0.006 | -0.058 | 213.363 | 146.552 | 0.085 |
1 | 程昊文. 一种利用空间密度分布生成空间物体轨道的方法[P]. 中国: 201510164403.4, 2015. |
CHENG H W. A method of generating orbit of space object by using spatial density distribution[P]. China: 201510164403.4, 2015. | |
2 | 吴连大, 贾沛璋. 初轨计算中的病态分析[J]. 天文学报, 1997, 38 (3): 288- 296. |
WU L D , JIA P Z . An analysis of the ill-condition in initial orbit determination[J]. Acta Astronomica Sinica, 1997, 38 (3): 288- 296. | |
3 | GOODING R . 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. |
4 |
MILANI A , GRONCHI G F , VITTURI M D , et al. Orbit determination with very short arcs. Ⅰ admissible regions[J]. Celestial Mechanics and Dynamical Astronomy, 2005, 92, 1- 18.
doi: 10.1007/s10569-005-3314-7 |
5 | MILANI A , GRONCHI G F , KNEŽEVIC' Z , et al. Orbit determination with very short arcs. Ⅱ Identifications[J]. Icarus, 2005, 79 (2): 360- 374. |
6 | MILANI A , VILLANI A , STIAVELLI M . Discovery of very small asteroids by automated trail detection[J]. Earth, Moon and Planets, 1972, (1-3): 257- 262. |
7 |
MILANI A , SANSATURIO M E , CHESLEY S R . The asteroid identification problem Ⅳ: attributions[J]. Icarus, 2001, 151 (2): 150- 159.
doi: 10.1006/icar.2001.6594 |
8 | MILANI A, GRONCH G F. Theory of orbit determination[D]. Cambridge: Cambridge University Press, 2010 |
9 |
MILANI A , TOMMEI G , FARNOCCHIA D , et al. Correlation and orbit determination of space objects based on sparse optical data[J]. Monthly Notices of the Royal Astronomical Society, 2011, 417, 2094- 2103.
doi: 10.1111/j.1365-2966.2011.19392.x |
10 |
MILANI A . The asteroid identification problem Ⅰ: recovery of lost asteroids[J]. Icarus, 1999, 137, 269- 292.
doi: 10.1006/icar.1999.6045 |
11 |
TOMMEI G. , MILANI A. , ROSSI A . Orbit determination of space debris: admissible regions[J]. Celestial Mechanics and Dynamical Astronomy, 2007, 97 (4): 289- 304.
doi: 10.1007/s10569-007-9065-x |
12 |
FARNOCCHIA D , TOMMEI G. , MILANI A , et al. Innovative methods of correlation and orbit determination for space debris[J]. Celestial Mechanics and Dynamical Astronomy, 2010, 107 (1-2): 169- 185.
doi: 10.1007/s10569-010-9274-6 |
13 |
FUJIMOTO K , SCHEERES D J . Applications of the admissible region to space-based observations[J]. Advances in Space Research, 2013, 52 (4): 696- 704.
doi: 10.1016/j.asr.2013.04.020 |
14 |
DEMARS K , JAH M K . Probabilistic initial orbit determination using Gaussian mixture models[J]. Journal of Guidance, Control, and Dynamics, 2013, 36 (5): 1324- 1335.
doi: 10.2514/1.59844 |
15 |
WISHNEK S , MARCUS J H , PATRICK H S H . Robust initial orbit determination using streaks and admissible regions[J]. The Journal of the Astronautical Sciences, 2021, 68, 349- 390.
doi: 10.1007/s40295-021-00264-1 |
16 | SCHAEPERKOETTER A V. A comprehensive comparison between angles-only initial orbit determination techniques[D]. Texas: Texas & M University, 2012. |
17 |
李骏, 安玮, 周一宇. 天基光学短弧初轨的约束微分修正方法[J]. 宇航学报, 2009, 30 (2): 769- 774.
doi: 10.3873/j.issn.1000-1328.2009.02.064 |
LI J , AN W , ZHOU Y Y . Constrained differential correction in initial orbit determination with short arcs in optical space-based space surveillance[J]. Journal of Astronautics, 2009, 30 (2): 769- 774.
doi: 10.3873/j.issn.1000-1328.2009.02.064 |
|
18 | 李鑫冉. 基于进化计算的极短弧定轨方法[D]. 合肥: 中国科学技术大学, 2018. |
LI X R. A very short arc orbit determination method based on evolutionary computation[D]. Hefei: University of science and Technology of China, 2018. | |
19 | 章品. 一种仅使用角度观测值的空间目标初始轨道确定方法[D]. 武汉: 武汉大学, 2017. |
ZHANG P. A space target initial orbit determination method using only angle observations[D]. Wuhan: Wuhan University, 2017. | |
20 | 吴连大. 人造卫星与空间碎片的轨道和探测[M]. 北京: 中国科学技术出版社, 2012. |
WU L D . Satellite and space debris orbit and detection[M]. Beijing: China Science and Technology Press, 2012. | |
21 | WORTHY J L , HOLZINGER M J . Incorporating uncertainty in admissible regions for uncorrelated detections[J]. Journal of Guidance, Control, and Dynamics, 2015, |
22 | GENNARO P, ARMELLIN R, HUGH L. Confidence region of least squares solution for single-arc observations[C]//Proc. of the 17th Advanced Maui Optical and Space Surveillance Technologies Conference, 2016 |
23 | WEISMAN R M , MAJJI M , ALFRIEND K T . Analytic characterization of measurement uncertainty and initial orbit determination on orbital element representations[J]. Celestial Mechanics and Dynamical Astronomy, 2013, 118 (2): 165- 195. |
24 | VALLADO D A . Fundamentals of astrodynamics and applications[M]. 3rd ed Hawthome: Microcosm Press, 2007: 515- 520. |
25 | 刘林, 胡松杰, 王歆. 航天动力学引论[M]. 南京: 南京大学出版社, 2016. |
LIU L , HU S J , WANG X . Introduction to aerospace dynamics[M]. Nanjing: Nanjing University Press, 2016. | |
26 | MONTENBRUCK O . Satellite Orbits: Models Methods and Application[M]. Oliver: Montenbruck. |
27 | 马岩, 马驰, 解延浩, 等. 基于视频遥感卫星的空间目标光度测量[J]. 光子学报, 2019, 48 (12): 225- 233. |
MA Y , MA C , XIE Y H , et al. Space target luminosity measurement based on video remote sensing satellites[J]. Acta Photonica Sinica, 2019, 48 (12): 225- 233. |
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