The precise positioning of lunar farside lander using a four-way lander-orbiter relay tracking mode |
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| Authors: | Mao Ye Fei Li Jianguo Yan Jean-Pierre Barriot Weifeng Hao Weitong Jin Xuan Yang |
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| Institution: | 1.State Key Laboratory of Information Engineering in Surveying, Mapping and Remote Sensing,Wuhan University,Wuhan,China;2.Shanghai Key Laboratory of Space Navigation and Positioning Techniques,Chinese Academy of Sciences,Shanghai,China;3.Observatoire Géodésique de Tahiti,University of French Polynesia,Faa’a,French Polynesia;4.Chinese Antarctic Center of Surveying and Mapping,Wuhan University,Wuhan,China |
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| Abstract: | China is planning to land a spacecraft on the farside of the Moon, a premiere, by 2018. In essence, the traditional tracking modes, based on direct visibility, cannot operate for the lunar farside lander tracking, and therefore a relay satellite, visible at the same time by both the lander and the Earth, will be required, operating in the so-called four-way mode (Earth-relay satellite-lander-relay satellite-Earth). In this paper, we firstly give the mathematical formulation of the four-way relay tracking mode and of its partial derivatives with respect to the relevant parameters, implemented in our POD software WUDOGS (Wuhan University Deep-space Orbit determination and Gravity recovery System). In a second step, in simulation mode, we apply this relay mode to determining lander coordinates, which are absolutely needed for a sample return mission, or to add constraints on rotation models of the Moon. The results show that with Doppler measurements at a 0.1 mm/s error level, the positioning of the farside lander could be done at centimeters level (1-\(\delta\)) in the case of a circumlunar relay satellite; and at a 5 meters level (1-\(\delta\)) in the case of a Lagrange point (L2) Halo relay satellite. |
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