Research on Lunar Four-Way Relay Measurement Mode of Orbit Determination and Positioning Method

Abstract

To deal with the limitation of the measurement and control link caused by occlusion in the detection in the lunar south polar region，a scheme of simultaneously applying two four-way relay measurement models was designed and the role of two-way and four-way measurement models in the lunar probe orbit determination and positioning in terms of the combination of observations and noise level was analyzed，The results show that simultaneous application of the two four-way models has better constraints on the orbiting accuracy of the two satellites，the relay satellite is more sensitive to the noise of the two-way model，the noise sensitivity of the low-orbit satellite and the lander is related to the number of four-way observations，and the positioning accuracy of the lander is related to the orbiting accuracy of the two satellites，which can provide a reference for the application of the relay measurement model in the fourth phase of the lunar exploration project.

Keywords

precise orbit determination / lander positioning / relay satellite / low-orbit satellite / four-way relay measurement model

References

[1] 鄢建国,李斐,平劲松,等. 月球重力场模型发展现状及展望[J]. 测绘信息与工程,2010,35(1):44-46
YAN J G,LI F,PING J S,et al. The development situation and prospect of lunar gravity field model[J]. Journal of Geomatics,2010,35(1):44-46
[2] 李春来,刘建军,左维,等. 中国月球探测进展(2011—2020年)[J]. 空间科学学报,2021,41(1):68-75
LI C L,LIU J J,ZUO W,et al. Progress of China’s lunar exploration (2011—2020)[J]. Chin. J. Space Sci.,2021,41(1):68-75
[3] 裴照宇,王琼,田耀四. 嫦娥工程技术发展路线[J]. 深空探测学报(中英文),2015(2):99-110
PEI Z Y,WANG Q,TIAN Y S. Technology roadmap for Chang’E program[J]. Journal of Deep Space Exploration,2015(2):99-110
[4] 裴照宇,刘继忠,王倩,等. 月球探测进展与国际月球科研站[J]. 科学通报,2020,65(24):2577-2586
PEI Z Y,LIU J Z,WANG Q,et al. Overview of lunar exploration and international Lunar research station[J]. Chin Sci Bull,2020,65(24):2577-2586
[5] 曹建峰,刘磊,刘也,等. 基于中继测量的环月探测器定轨能力分析[J]. 飞行器测控学报,2017,36(2):112-117
CAO J F,LIU L,LIU Y,et al. A simulation study of orbit determination for lunar probe via tracking and data relay satellite[J]. Journal of Spacecraft TT&C Technology,2017,36(2):112-117
[6] SAITO Y,YOKOTA S,ASAMURA K,et al. In-flight performance and initial results of plasma energy angle and composition experiment (PACE) on SELENE (Kaguya)[J]. Space Science Reviews,2010,154(1):265-303
[7] GOOSSENS S,MATSUMOTO K,ROWLANDS D D,et al. Orbit determination of the SELENE satellites using multi-satellite data types and evaluation of SELENE gravity field models[J]. Journal of Geodesy,2011,85(8):487-504
[8] KATO M,SASAKI S,TANAKA K,et al. The Japanese lunar mission SELENE:Science goals and present status[J]. Advances in Space Research,2008,42(2):294-300
[9] KATO M,SASAKI S,TAKIZAWA Y. The Kaguya mission overview[J]. Space Science Reviews,2010,154(1):3-19
[10] 平劲松,河野裕介,河野宣之,等. 日本SELENE月球探测计划和卫星间多普勒跟踪的数学模型[J]. 天文学进展,2001(3):354-364
PING J S,KONO Y,KAWANO N,et al. SELENE mission:mathematical model for SST Doppler measurements[J]. Progress in Astronomy,2001(3):354-364
[11] NAMIKI N,IWATA T,MATSUMOTO K,et al. Farside gravity field of the moon from four-way Doppler measurements of SELENE (Kaguya)[J]. Science,2009,323(5916):900-905
[12] DUAN J F,WANG Z K. Orbit determination of CE-4’s relay satellite in Earth-Moon L2 libration point orbit[J]. Advances in Space Research,2019,64(11):2345-2355
[13] LI C,WANG C,WEI Y,et al. China’s present and future lunar exploration program[J]. Science,2019,365(6450):238-239
[14] BHASIN K B，HACKENBERG A W，SKYWALK R A，et al. Lunar relay satellite network for space exploration：architecture，technologies and challenges [C]//24th AIAA International Communications Satellite Systems Conference. San Diego，USA：AIAA，2006.
[15] 刘庆会. 月球背面探测器跟踪的4程多普勒技术[J]. 中国科学：物理学 力学 天文学，2016，46（3）：105-112.
LIU Q H. 4-way Doppler technology for tracking satellite on lunar farside[J]. SCIENCE CHINA Physics, Mechanics & Astronomy，2016，46（3）105-112.
[16] QIN S,HUANG Y,LI P,et al. Orbit and tracking data evaluation of Chang’E-4 relay satellite[J]. Advances in Space Research,2019,64(4):836-846
[17] 熊亮,张磊. 月球南极中继通信轨道仿真分析[J]. 深空探测学报(中英文),2020,7(3):264-270
XIONG L,ZHANG L. The simulation analysis of lunar Antarctic relay communication orbit[J]. Journal of Deep Space Exploration,2020,7(3):264-270
[18] 黄勇，昌胜骐，李培佳，等. “嫦娥三号”月球探测器的轨道确定和月面定位[J]. 科学通报，2014，59：2268-2277.
HUANG Y，CHANG S Q，LI P J，et al. Orbit determination of Chang’E-3 and positioning of the lander and the rover[J]. Chin Sci Bull，2014，59：3858-3867.
[19] 曹建峰,张宇,陈略,等. 利用多普勒测量确定嫦娥四号着陆器精密定轨[J]. 宇航学报,2020,41(7):920-925
CAO J F,ZHANG Y,CHEN L,et al. Orbit determination of Chang’E-4 lander using doppler measurement[J]. Journal of Astronautics,2020,41(7):920-925
[20] 王镓，吴伟仁，李剑，等. 基于视觉的嫦娥四号探测器着陆点定位[J]. 中国科学：技术科学，2020，50：41-53.
WANG J，WU W R，LI J，et al. Vision based Chang’E-4 landing point localization （in Chinese）[J]. Scientia Sinica Technologica，2020，50：41-53.
[21] ZHENG W,HSU H T,ZHONG M,et al. An analysis on requirements of orbital parameters in satellite-to-satellite tracking mode[J]. Chinese Astronomy & Astrophysics,2010,34(4):413-423
[22] FLOBERGHAGEN R,NOOMEN R,VISSER P,et al. Global lunar gravity recovery from satellite-to-satellite tracking[J]. Planetary & Space Science,1996,44(10):1081-1097
[23] 叶茂. 月球探测器精密定轨软件研制与四程中继跟踪测量模式研究[J]. 测绘学报,2016,45(9):1132
YE M. Development of lunar spacecraft precision orbit determination software system and research on a four-way relay tracking measurement mode[J]. Acta Geodaetica et Cartographica Sinica,2016,45(9):1132
[24] LEMOINE F G,GOOSSENS S,SABAKA T J,et al. High-degree gravity models from GRAIL primary mission data[J]. Journal of Geophysical Research:Planets,2013,118(8):1676-1698