基于可控域的定点返回轨道全局敏感性分析

doi:10.12305/j.issn.1001-506X.2023.11.28

摘要/Abstract

摘要：

针对载人月球探测定点返回轨道在多变量、多约束的复杂参数空间内参数之间影响关系不确定的问题，对载人探月定点返回轨道的参数敏感性问题进行了研究。基于近月点伪参数, 建立了定点返回轨道的可控域计算模型, 并提出了一种基于可控域的全局参数敏感性分析方法, 以计算得到的可控域集合点构建敏感性分析矩阵, 通过基于方差的方法对各参数的敏感性进行求解。在仿真分析中, 得到了在给定约束条件下定点返回轨道可控域范围的一般分布规律, 并给出了可控域范围内近月点伪参数对终端参数的敏感性指标。相关研究结论可为未来的载人月球探测轨道任务分析与设计提供重要参考。

关键词: 载人月球探测, 定点返回轨道, 可控域, 全局敏感性分析

Abstract:

Aiming at the uncertainty of the influnce relationship between the parameters of the fixed-point return orbit of manned lunar exploration in the multi-variable and multi-constrained comples parameter space. The parameter sensitivity problem of the fixed-point return orbit of manned lunar exploration is studied. A computational model of the controllable domain of the fixed-point return orbit is established based on the pseudo-perilune parameters, and a global parameter sensitivity analysis method based on the controlled domain analysis is proposed on the basis of the controlled domain analysis. The sensitivity analysis matrix is constructed with the calculated set of controllable domains, and the sensitivity of each parameter is solved by the variance-based method. The general distribution law of the controllable domain of the fixed-point return orbit under the given constraints is obtained by simulation analysis, and the sensitivity index of the pseudo-perilune parameters to the terminal parameters in the controllable domain is given. The relevant findings can provide important references for the analysis and design of future manned lunar exploration orbit missions.

Key words: manned lunar exploration, point return orbit, controllable domain, global sensitivity analysis

中图分类号:

V412.4

王奇, 陆林, 李海阳, 杨路易. 基于可控域的定点返回轨道全局敏感性分析[J]. 系统工程与电子技术, 2023, 45(11): 3606-3615.

Qi WANG, Lin LU, Haiyang LI, Luyi YANG. Global sensitivity analysis of point return orbit based on controllable domain[J]. Systems Engineering and Electronics, 2023, 45(11): 3606-3615.

图/表 13

图1

图2

图3

图4

图5

图6

表1

图7

图8

图9

图10

表2

图11

参考文献 32

1	KIM S , KIM K J , YU Y . Investigation on lunar landing candidate sites for a future lunar exploration mission[J]. International Journal of Aeronautical and Space Sciences, 2021, 23, 221- 232.
2	WANG X H , MAO L H , YUE Y X , et al. Manned lunar landing mission scale analysis and flight scheme selection based on mission architecture matrix[J]. Acta Astronautica, 2018, 152 (11): 385- 395.
3	LANDGRAF M . Pathways to sustainability in lunar exploration architectures[J]. Journal of Spacecraft and Rockets, 2021, 58 (6): 1681- 1693. doi: 10.2514/1.A35019
4	IVANOV M A , BASILEVSKY A T , BRICHEVA S S , et al. Fundamental problems of lunar research, technical solutions, and priority lunar regions for research[J]. Solar System Research, 2017, 51 (6): 441- 456. doi: 10.1134/S0038094617060041
5	EVANS M E , GRAHAM L D . A flexible lunar architecture for exploration (FLARE) supporting NASA's Artemis program[J]. Acta Astronautica, 2020, 177, 351- 372. doi: 10.1016/j.actaastro.2020.07.032
6	ZHANG H , ZHANG X , ZHANG G , et al. Size, morphology, and composition of lunar samples returned by Chang'e-5 mission[J]. Science China (Physics, Mechanics & Astronomy), 2022, 65 (2): 110- 117.
7	LI C L , HU H , YANG M F , et al. Characteristics of the lunar samples returned by the Chang'e-5 mission[J]. National Science Review, 2022, 9 (2): 21- 33.
8	WU W R , YU D G , WANG C , et al. Technological breakthroughs and scientific progress of the Chang'e-4 mission[J]. Science China (Information Sciences), 2020, 63 (10): 5- 18.
9	LARS W , ALEXANDRA H , MARRHIAS K , et al. A robotically deployable lunar surface science station and its validation in a moon-analogue environment[J]. Planetary and Space Science, 2020, 193, 105080. doi: 10.1016/j.pss.2020.105080
10	FREY H C , PATIL S R . Identification and review of sensitivity analysis methods[J]. Risk Analysis, 2010, 22 (3): 553- 578.
11	IOOSS B , LEMATRE P . A review on global sensitivity analysis methods[J]. Operations Research/Computer Science Interfaces Series, 2014, 59, 101- 122.
12	BO A , FB B , RM A . Numerical modelling-based sensitivity analysis of fluvial morphodynamics[J]. Environmental Modelling & Software, 2021, 135, 104903.
13	ZHOU C , ZHAO H , CHANG Q I , et al. Reliability and global sensitivity analysis for an airplane slat mechanism considering wear degradation[J]. Chinese Journal of Aeronautics, 2021, 34 (1): 163- 170. doi: 10.1016/j.cja.2020.09.048
14	PERRIN T V E , ROUSTANT O , ROHMER J , et al. Functional principal component analysis for global sensitivity analysis of model with spatial output[J]. Reliability Engineering & System Safety, 2021, 211, 107522.
15	张磊, 于登云, 张熇. 月地转移轨道快速设计与特性分析[J]. 中国空间科学技术, 2011, 31 (3): 62- 70. doi: 10.3780/j.issn.1000-758X.2011.03.010
	ZHANG L , YU D Y , ZHANG H . Preliminary design and characteristic analysis of Moon-to-Earth transfer trajectories[J]. Chinese Space Science and Technology, 2011, 31 (3): 62- 70. doi: 10.3780/j.issn.1000-758X.2011.03.010
16	JONES D R , OCAMPO C . Optimization of impulsive trajectories from a circular orbit to an excess velocity vector[J]. Journal of Guidance Control & Dynamics, 2012, 35 (1): 234- 244.
17	GAVRIKOVA N M , GOLUBEV Y F . Construction of the return trajectory from the lunar parking orbit to the Earth's atmosphere reentry point[J]. Keldysh Institute of Applied Mathematics, 2019, 53, 1- 39.
18	陆林, 杨路易, 李海阳, 等. 载人飞船月地返回轨道优化设计与特性分析[J]. 系统工程与电子技术, 2019, 41 (12): 2842- 2848.
	LU L , YANG L Y , LI H Y , et al. Optimal design and characteristics analysis of the Moon-Earth return trajectory for manned spacecraft[J]. Systems Engineering and Electronics, 2019, 41 (12): 2842- 2848.
19	GAVRIKOVA N M , GOLUBEV Y F . Using a three-impulse maneuvering scheme for returning from the lunar orbit to the reentry point of the Earth's atmosphere[J]. Journal of Computer and Systems Sciences International, 2020, 59 (2): 276- 288. doi: 10.1134/S1064230720010050
20	杨路易, 李海阳, 张进, 等. 基于改进多圆锥截线的月地返回轨道快速设计方法[J]. 系统工程与电子技术, 2020, 42 (4): 896- 903.
	YANG L Y , LI H Y , ZHANG J , et al. Fast Moon-to-Earth return orbit design based on improved multi-conic method[J]. Systems Engineering and Electronics, 2020, 42 (4): 896- 903.
21	GAVRIKOVA N M , GOLUBEV Y F . Using a three-impulse maneuvering scheme for returning from the lunar orbit to the reentry point of the Earth's atmosphere[J]. Journal of Computer and Systems Sciences International, 2020, 59 (2): 276- 288. doi: 10.1134/S1064230720010050
22	SHEN H X , ZHOU J P , PENG Q B , et al. Point return orbit design and characteristics analysis for manned lunar mission[J]. Science China Technological Sciences, 2012, 55 (9): 2561- 2569.
23	陆林, 李海阳, 刘将辉, 等. 载人月球极地探测定点返回轨道设计[J]. 中国空间科学技术, 2020, 40 (5): 61- 71.
	LU L , LI H Y , LIU J H , et al. Design of point return orbit for human lunar exploration mission[J]. Chinese Space Science and Technology, 2020, 40 (5): 61- 71.
24	LI J Y , GONG S P , WANG X . Analytical design methods for determining Moon-to-Earth trajectories[J]. Aerospace Science and Technology, 2015, 40, 138- 149.
25	LU L , LI H Y . Three-impulse return orbit design and characteristic analysis for manned lunar missions[J]. IEEE Access, 2020, 8, 154256- 154268.
26	周晚萌. 载人探月序列任务有限推力轨道逆动力学设计方法研究[D]. 长沙: 国防科技大学, 2019.
	ZHOU W M. Finite thrust orbit design for manned lunar prospecting series mission using inverse dynamics method[D]. Changsha: National University of Defense Technology, 2019.
27	CHEN Q , QIAO D , SHANG H B , et al. A new method for solving reachable domain of spacecraft with a single impulse[J]. Acta Astronautica, 2018, 145 (4): 153- 164.
28	贺波勇. 载人登月轨道精确可控域数值延拓分析方法[D]. 长沙: 国防科技大学, 2017.
	HE B Y. Analysis approaches for precision reachable sets of manned lunar orbits using numerical continuation theory[D]. Changsha: National University of Defense Technology, 2017.
29	LU L , LI H Y , ZHOU W M , et al. Design and analysis of a direct transfer trajectory from a near rectilinear halo orbit to a low lunar orbit[J]. Advances in Space Research, 2021, 67 (3): 1143- 1154.
30	CHO E , ARHONDITSIS G B , KHIM J , et al. Modeling metal-sediment interaction processes: parameter sensitivity assessment and uncertainty analysis[J]. Environmental Modelling & Software, 2016, 80, 159- 174.
31	MERRITT M , ALEXANDERIAN A , GREMAUD P A . multiscale global sensitivity analysis for stochastic chemical systems[J]. SIAM Journal on Multiscale Modeling and Simulation, 2021, 19 (1): 440- 459.
32	SALTELLI A , ANNONI P , AZZINI I , et al. Variance based sensitivity analysis of model output. Design and estimator for the total sensitivity index[J]. Computer Physics Communications, 2010, 181 (2): 259- 270.

参数	λ_PRL/(°)	φ_PRL/(°)	e_PRL	i_PRL/(°)
α_min	-30	-49	1.3	160
α_max	40	29	2	240
Δα	70	78	0.7	80

参数敏感性	高	————————		低
再入点纬度	e_PRL^m	λ_PRL^m	i_PRL^m	φ_PRL^m
再入点经度	e_PRL^m	i_PRL^m	λ_PRL^m	φ_PRL^m
返回时间	e_PRL^m	λ_PRL^m	i_PRL^m	φ_PRL^m
返回轨道倾角	e_PRL^m	φ_PRL^m	λ_PRL^m	i_PRL^m
真空近地点高度	e_PRL^m	λ_PRL^m	i_PRL^m	φ_PRL^m

[1]	王培臣, 闫循良, 王宽, 郑雄. 基于随机响应面与混沌多项式的鲁棒轨迹优化[J]. 系统工程与电子技术, 2023, 45(10): 3226-3239.
[2]	赵柯昕, 甘庆波, 杨志涛, 刘静. 近地天体与空间目标初轨确定的多解问题[J]. 系统工程与电子技术, 2022, 44(9): 2914-2921.
[3]	李大卫, 刘静, 彭喜衍, 张耀, 解延浩. 小偏心率空间碎片天基短弧定轨方法和实验[J]. 系统工程与电子技术, 2022, 44(8): 2601-2611.
[4]	赵建磊, 李海阳. 稀疏轨道信息下的非合作飞行器机动识别方法[J]. 系统工程与电子技术, 2022, 44(6): 1950-1956.
[5]	韩明仁, 王玉峰. 基于强化学习的全电推进卫星变轨优化方法[J]. 系统工程与电子技术, 2022, 44(5): 1652-1661.
[6]	华冰, 梁莹莹, 倪瑞. 基于改进因子图模型的航天器组合姿态确定算法[J]. 系统工程与电子技术, 2021, 43(8): 2273-2281.
[7]	沈丹, 刘静. 大型低轨星座部署对空间碎片环境的影响分析[J]. 系统工程与电子技术, 2020, 42(9): 2041-2051.
[8]	杨路易, 李海阳, 张进, 周晚萌, 陆林. 基于改进多圆锥截线的月地返回轨道快速设计方法[J]. 系统工程与电子技术, 2020, 42(4): 896-903.
[9]	杨志涛, 刘静, 刘林. 轨道分析解的改进方法及其应用[J]. 系统工程与电子技术, 2020, 42(2): 427-433.
[10]	陆林, 李海阳, 刘将辉, 杨路易. 月地应急返回轨道优化设计[J]. 系统工程与电子技术, 2020, 42(2): 420-426.
[11]	王洪强, 方洋旺, 伍友利. 基于非奇异Terminal滑模的导弹末制导律研究[J]. Journal of Systems Engineering and Electronics, 2009, 31(6): 1391-1395.
[12]	张锦绣, 穆冬, 曹喜滨, 陈筠力. 编队干涉SAR系统空间构形倾角确定准则研究[J]. Journal of Systems Engineering and Electronics, 2009, 31(5): 1087-1092.