ACTA AERONAUTICAET ASTRONAUTICA SINICA >
A Search Strategy of Back Windows for Moon-to-Earth Trajectories Directly Returning to the Earth
Received date: 2013-09-21
Revised date: 2014-05-03
Online published: 2014-05-16
Supported by
National Natural Science Foundation of China (11173005, 11203003)
Based on the design of Moon-to-Earth trajectories which directly return to the Earth from the Moon parking orbit, a search strategy for back windows is presented. First, combined with the rapid design of Moon-to-Earth transfer trajectories based on double two-body model, an initial back window is primarily estimated according to minimum reentry angle calculations at that day. If the minimum reentry angle is within the reentry corridor, then the double two-body trajectory which meets the constraints at both ends is searched with the prescribed reentry angle constraint. The results are used as initial values for subsequent precise design of Moon-to-Earth transfer trajectories based on perturbed models. The precise trajectory is obtained by using numerical integration and differential correction. The back window is further determined by the results of the precise trajectories, especially the velocity increment. This strategy greatly accelerates the computational efficiency of the back window, and the window can be quickly found in a wide range. Through the search and results analysis of back windows in January and February 2017, a feasible back window which satisfies fuel-optimal and three consecutive return possibilities is finally proposed.
ZHENG Aiwu , ZHOU Jianping . A Search Strategy of Back Windows for Moon-to-Earth Trajectories Directly Returning to the Earth[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2014 , 35(8) : 2243 -2250 . DOI: 10.7527/S1000-6893.2014.0085
[1] State Council Information Office of the People's Republic of China. China's space activities in 2011[M]. Beijing: People's Publishing House, 2011: 10. (in Chinese) 中华人民共和国国务院新闻办公室. 2011年中国的航天[M]. 北京: 人民出版社, 2011: 10.
[2] Liu L, Wang X. On the orbit dynamics of lunar satellite[J]. Progress in Astronomy, 2003, 21(4): 281-288. (in Chinese) 刘林, 王歆. 月球卫星轨道力学综述[J]. 天文学进展, 2003, 21(4): 281-288.
[3] Li L T, Zhang Z M, Yang D. Study of rapid design method for cislunar transfer trajectory[J]. Acta Aeronautica et Astronautica Sinica, 2003, 24(2): 152-156.(in Chinese) 李立涛, 张振民, 杨涤. 奔月转移轨道的快速设计方法研究[J]. 航空学报, 2003, 24(2): 152-156.
[4] Miele A. Theorem of image trajectories in the Earth-Moon space//XIth International Astronautical Congress Stockholm 1960, 1960: 385-391.
[5] Miele A, Mancuso S. Optimal trajectories for Earth-Moon-Earth flight[J]. Acta Astronautica, 2001, 49(2): 59-71.
[6] Fazelzadeh S A, Varzandian G A. Minimum-time Earth-Moon and Moon-Earth orbital maneuvers using time-domain finite element method[J]. Acta Astronautica, 2010, 66(3-4): 525-538.
[7] Bai Y Z. Analysis of the characteristics of the trajectory of lunar probe. Changsha: National University of Defense Technology, 2005. (in Chinese) 白玉铸. 月球探测器轨道特性分析. 长沙: 国防科学技术大学, 2005.
[8] Gao Y D, Xi X N, Wang W. Cislunar trajectory design using searching step by step method[J]. Journal of Astronautics, 2006, 27(6): 1157-1161. (in Chinese) 高玉东, 郗晓宁, 王威. 地月空间飞行轨道分层搜索设计[J]. 宇航学报, 2006, 27(6): 1157-1161.
[9] Gao Y D, Xi X N, Bai Y Z, et al. Fast searching design method for return transfer trajectory of lunar probe[J]. Journal of Astronautics, 2008, 29(3): 765-771. (in Chinese) 高玉东, 郗晓宁, 白玉铸, 等. 月球探测器返回轨道快速搜索设计[J]. 宇航学报, 2008, 29(3): 765-771.
[10] Gao Y D. Study on the cislunar transfer trajectory of the lunar probe. Changsha: National University of Defense Technology, 2008. (in Chinese) 高玉东. 月球探测器地月空间转移轨道研究. 长沙: 国防科学技术大学, 2008.
[11] Zhang L, Yu D Y, Zhang H. Design of moon return trajectory with direct atmospheric reentry[J]. Spacecraft Engineering, 2010, 19(5): 50-55. (in Chinese) 张磊, 于登云, 张熇. 直接再入大气的月球返回轨道设计研究[J]. 航天器工程, 2010, 19(5): 50-55.
[12] 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. (in Chinese) 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.
[13] Robinson S, Geller D. A simple targeting procedure for lunar trans-Earth injection, AIAA-2009-6107. Reston: AIAA, 2009.
[14] Zhao Y H, Hou X Y, Liu L. Characteristics of the reentry angle of lunar probes[J]. Journal of Spacecraft TT&C Technology, 2010, 29(5): 75-79. (in Chinese) 赵玉晖, 侯锡云, 刘林. 月球返回轨道再入角变化特征[J].飞行器测控学报, 2010, 29(5): 75-79.
[15] Battin R H. An introduction to the mathematics and methods of astrodynamics[M]. Revised ed. Reston: AIAA, 1999: 295-342.
[16] Liu L, Wang X. An orbital dynamics of lunar probe[M]. Beijing: National Defense Industry Press, 2006: 98-100. (in Chinese) 刘林, 王歆. 月球探测器轨道力学[M]. 北京: 国防工业出版社, 2006: 98-100.
[17] Zheng A W. Design and control of Moon-to-Earth trajectories. Beijing: Beihang University, 2013. (in Chinese) 郑爱武. 月地转移轨道设计与控制策略研究. 北京: 北京航空航天大学, 2013.
/
| 〈 |
|
〉 |
CJA