Abstract
When only data transmission signals with a bandwidth of 1 MHz exist in the rover, the position can be obtained using the differential group delay data of the same-beam very long baseline interferometry (VLBI). The relative position between a lunar rover and a lander can be determined with an error of several hundreds of meters. When the guidance information of the rover is used to determine relative position, the rover’s wheel skid behavior and integral movement may influence the accuracy of the determined position. This paper proposes a new method for accurately determining relative position. The differential group delay and biased differential phase delay are obtained from the same-beam VLBI observation, while the modified biased differential phase delay is obtained using the statistic mean value of the differential group delay and the biased phase delay as basis. The small bias in the modified biased phase delay is estimated together with other parameters when the relative position of the rover is calculated. The effectiveness of the proposed method is confirmed using the same-beam VLBI observation data of SELENE. The radio sources onboard the rover and the lander are designed for same-beam VLBI observations. The results of the simulations of the differential delay of the same-beam VLBI observation between the rover and the lander show that the differential delay is sensitive to relative position. An approach to solving the relative position and a strategy for tracking are also introduced. When the lunar topography data near the rover are used and the observations are scheduled properly, the determined relative position of the rover may be nearly as accurate as that solved using differential phase delay data.
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References
Ouyang Z. Scientific objectives of Chinese lunar exploration and development strategy. Adv Earth Sci, 2004, 19(3): 355–357
Liu Q, Chen M, Xiong W, et al. Relative position determination of a Lunar Rover by using high-accuracy multi-frequency same-beam VLBI. Sci China-Phys Mech Astron, 2010, 53(3): 571–578
Li J L, Guo L, Qian Z H, et al. The application of the instantaneous states reduction to the orbital monitoring of pivotal arcs of the Chang’E-1 satellite. Sci China Ser G-Phys Mech Astron, 2009, 52: 1833–1841
Iwata T, Takahashi M, Namiki N, et al. Mission instruments for lunar gravity field measurements using SELENE sub-satellites. J Geod Soc Jpn, 2001, 47: 558–563
Kono Y, Hanada H, Ping J, et al. Precise positioning of spacecraft by multi-frequency VLBI. Earth Planets Space, 2003, 55: 581–5589
Goosens S, Matsumoto K, Liu Q, et al. Lunar gravity field determination using SELENE same-beam differential VLBI tracking data. J Geodesy, 2011, 85: 205–208
Kikuchi F, Liu Q, Hanada H, et al. Pico-second accuracy VLBI of the two sub-satellites of SELENE (KAGUYA) using multi-frequency and same beam methods. Radio Sci, 2009, 44: 1–7
Liu Q, Kikuchi F, Matsumoto K, et al. Same-beam VLBI observations of SELENE for improving lunar gravity field model. Radio Sci, 2010, 45: RS2004, doi: 10.1029/2009RS004203
Chen M, Liu Q. Calculation and analysis of same beam VLBI differential phase delay closure of lunar satellite (in Chinese). Progr Astron, 2010, 28: 415–423
Liu Q, Matsumoto K, Kikuchi F, et al. Same-beam differential VLBI technology using two satellites of the SELENE spacecraft. IEICE-JB, 2006, J89B-B: 602–617
Zhang X, Wei W, Xiang Y, et al. Progress of wideband VLBI digital system development in SHAO. In: Proc 5th IVS General Meeting, China, 2008. 381–385
Chen M, Tang G, Cao J, et, al. The precision orbit determination of CE-1 lunar satellite (in Chinese). Geomat Inform Sci Wuhan Univ, 2011, 36(2): 212–217
Araki H, Tazawa S, Noda H, et al. Lunar global shape and polar topography derived from Kaguya-LALT laser altimeter. Science, 2009, 323: 897–900
Ping J S, Huang Q, Yan J G, et al. Lunar topographic model CLTM-s01 from Chang’E-1 laser altimeter. Sci China-Phys Mech Astron, 2009, 52(7): 1105–1114
Li C L, Ren X, Liu J J, et al. Laser altimetry data of Chang’E-1 and the global lunar DEM model. Sci China-Earth Sci, 2010, 53(11): 1582–1593
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Chen, M., Liu, Q., Wu, Y. et al. Relative position determination of a lunar rover using the biased differential phase delay of same-beam VLBI. Sci. China Phys. Mech. Astron. 54, 2284–2295 (2011). https://doi.org/10.1007/s11433-011-4534-3
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DOI: https://doi.org/10.1007/s11433-011-4534-3