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摘要:
针对探测器实现月面着陆的问题,对环月降轨轨道控制策略进行了研究。根据环月降轨的控制方程,将环月降轨单脉冲控制变量的不同组合与月面着陆目标参数建立了3种关系;建立了定时定点月面着陆、定点月面着陆和目标纬度区域月面着陆3种环月降轨控制策略,并给出了控制策略求解算法和步骤。针对定点月面着陆,单脉冲对半长轴和近月点高度进行组合控制,分析了环月降轨控制解空间。针对标称环月轨道/-偏差环月轨道/+偏差环月轨道,分别进行了定时定点/定点/目标纬度区域3种月面着陆的控制计算,验证了环月降轨控制策略。可应用于月球着陆、月球采样返回及载人登月等实施月面定时定点着陆任务的轨道控制。
Abstract:Aiming at the problem of the probe's lunar landing, the control strategy of lunar orbit descent is studied. According to the control equations of the lunar orbit descent, the three kinds of relationship between the different combinations of the single-pulse control variables of the lunar orbit descent and the parameters of the lunar landing target are established. Three control strategies for lunar orbit descent, which are the fixed-point landing at the fixed time, the fixed-point landing and the landing at the target latitude area, are established. The algorithms and the procedures for solving the lunar orbit descent control strategies are presented. For the fixed-point lunar landing, the solutions of the single-pulse combined control of the semi-major axis and the lunar perigee height are analyzed. The control calculations of three kinds of lunar landings with the fixed-point at fixed time, the fixed-point, and the target latitude area are carried out respectively for the nominal orbit, the negative deviation orbit, and the positive deviation orbit, and the control strategies of the lunar orbit descent are verified. The strategies can be applied to the orbit control of the lunar landing mission, such as lunar landing, lunar sampling return, and manned lunar landing.
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表 1 标称环月轨道的环月降轨控制参数
Table 1. Parameters of lunar orbit descent control for nominal orbit
着陆方式 ψ/(°) θ/(°) A/km ΔT/s λ/(°) T Δv(m·s-1) TP1 0 180 1 791.000 0.27 175.97 2018-12-30T08:54:00 23.250 -1.00 162.98 1 790.984 0.08 175.97 TP2 0 180 1 791.000 -42.16 175.96 2018-12-30T08:59:27 23.590 -2.12 -163.85 1 790.838 -0.06 175.97 P 0 180 1 791.000 0.27 175.97 2018-12-30T08:54:06 23.187 0 163.52 1 790.982 0.15 175.97 LAT 0 180 1 791.000 0.27 175.97 2018-12-30T08:56:35 22.535 表 2 -偏差环月轨道的环月降轨控制参数
Table 2. Parameters of lunar orbit descent control for negative deviation orbit
着陆方式 ψ/(°) θ/(°) A/km ΔT/s λ/(°) T Δv/(m·s-1) TP1 0 180 1 791.000 149.17 176.03 2018-12-30T08:47:00 27.189 -3.19 140.06 1 791.472 -0.01 175.97 TP2 0 180 1 791.000 67.66 176.02 2018-12-30T09:00:30 27.584 14.57 -145.72 1 791.173 0.17 175.97 P 0 180 1 791.000 535.61 176.09 2018-12-30T09:02:34 26.699 0 136.17 1 792.027 -277.74 175.97 LAT 0 180 1 791.000 535.61 176.09 2018-12-30T08:54:01 22.101 表 3 +偏差环月轨道的环月降轨控制参数
Table 3. Parameters of lunar orbit descent control for positive deviation orbit
着陆方式 ψ/(°) θ/(°) A/km ΔT/s λ/(°) T Δv/(m·s-1) LAT 0 180 1 791.000 -355.30 175.89 2018-12-30T08:59:07 22.970 -
[1] 李金岭, 郭丽, 钱志翰, 等.嫦娥一号卫星受控撞月轨迹测量与落月点坐标分析[J].科学通报, 2010, 55(9):752-757. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=kxtb201009003LI J L, GUO L, QIAN Z H, et al.Determination of the controlled landing trajectory of CHANG'E-1 satellite and the coordinate analysis of the landing point on the Moon[J].Chinese Science Bulletin, 2010, 55(9):752-757(in Chinese). http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=kxtb201009003 [2] 孙泽洲, 张熇, 吴学英, 等.月球着陆探测器任务分析研究[J].航天器工程, 2010, 9(5):12-16. doi: 10.3969/j.issn.1673-8748.2010.05.003SUN Z Z, ZHANG H, WU X Y, et al.Mission analysis of a lunar soft lander[J].Spacecraft Engineering, 2010, 9(5):12-16(in Chinese). doi: 10.3969/j.issn.1673-8748.2010.05.003 [3] 吴伟仁, 王琼, 唐玉华, 等."嫦娥4号"月球背面软着陆任务设计[J].深空探测学报, 2017, 4(2):111-117. http://d.old.wanfangdata.com.cn/Periodical/sktcxb201702002WU W R, WANG Q, TANG Y H, et al.Design of Chang'E-4 lunar farside soft-landing mission[J].Journal of Deep Space Exploration, 2017, 4(2):111-117(in Chinese). http://d.old.wanfangdata.com.cn/Periodical/sktcxb201702002 [4] 李飞, 张熇, 吴学英, 等.月球背面地形对软着陆探测的影响分析[J].深空探测学报, 2017, 4(2):143-149. http://d.old.wanfangdata.com.cn/Periodical/sktcxb201702007LI F, ZHANG H, WU X Y, et al.Influence analysis of terrain of the farside of the moon on soft-landing[J].Journal of Deep Exploration, 2017, 4(2):143-149(in Chinese). http://d.old.wanfangdata.com.cn/Periodical/sktcxb201702007 [5] TINDALL H W.A lengthy status report on lunar point landing including some remarks about CSM DOI: NASAmemo69-PA-T-116A[R].Washington,D.C.:NASA,1969. [6] LOUCKS M, CARRICO J.A comparison of lunar landing trajectory strategies using numerical simulations[C]//International Lunar Conference, 2005. [7] SOSTARIC R R, REA J.Powered descent guidance methods for the moon and mars[C]//AIAA Guidance, Navigation and Control Conference.Reston: AIAA, 2005. [8] DIERLAM T A.Entry vehicle performance analysis and atmospheric guidance algorithm for precision landing on mars[D].Cambridge: Massachusetts Institute of Technology, 1990. [9] WANG Z, GAMBAL M H.Trajectory design consideration for precision landing on mars[C]//AAS/AIAA Space Flight Mechanics Meeting.Reston: AIAA, 2013: 2511-2525. [10] WANG Z, MENG Z.Orbit design considerations for precision lunar landing for a sample return mission[C]//AAS/AIAA Space Flight Mechanics Meeting.Reston: AIAA, 2014: 3605-3621. [11] 孟占峰, 周文艳, 杨维廉, 等.一种考虑工程约束的环月大椭圆轨道调整方法: ZL201010052760.9[P].2013-10-23.MENG Z F, ZHOU W Y, YANG W L, et al.A method for lunar elliptical orbit adjustment consideration engineering constraints: ZL201010052760.9[P].2013-10-23(in Chinese). [12] ZHOU J, LIU Y.Chang'E-2 satellite asymmetric-descent orbit control technology[J].Science China Technological Sciences, 2011, 54(9):2247-2253. doi: 10.1007/s11431-011-4516-8 [13] 汪中生, 孟占峰, 高珊.月面定点着陆变轨策略研究[J].航天器工程, 2017, 26(2):29-37. doi: 10.3969/j.issn.1673-8748.2017.02.005WANG Z S, MENG Z F, GAO S.Study of orbital maneuver strategies for precision lunar landing[J].Spacecraft Engineering, 2017, 26(2):29-37(in Chinese). doi: 10.3969/j.issn.1673-8748.2017.02.005 [14] 郑爱武, 刘勇, 周建平.虹湾地区高分辨率成像轨控方案[J].中国空间科学技术, 2012, 12(6):47-52. http://d.old.wanfangdata.com.cn/Periodical/zgkjkxjs201206007ZHENG A W, LIU Y, ZHOU J P.Orbit control for high resolution imaging of Hong-Wan area[J].Chinese Space Science and Technology, 2012, 12(6):47-52(in Chinese). http://d.old.wanfangdata.com.cn/Periodical/zgkjkxjs201206007 [15] LI G F, XIE J F, ZHOU J L, et al.The lunar orbit phasing and rendezvous tests of Chang'E 5 reentry flight experiment vehicle[C]//Proceedings of 25th International Symposium on Space Flight Dynamics, 2015.