Minimum of PDOP and its applications in inter-satellite links (ISL) establishment of Walker-delta constellation

作者：Han Songhui^*; Gui Qingming; Li Guozhong; Du Yuanlu

来源：Advances in Space Research, 2014, 54(4): 726-733.

DOI：10.1016/j.asr.2014.04.020

• Minimum of GDOP
• Minimum of PDOP
• Walker-delta constellation
• ISL
• Monte Carlo method

Within the next decade, there will be a number of GNSS (Global Navigation Satellite System) available, i.e. modernized GPS, Galileo, restored GLONASS, BeiDou and many other regional GNSS augmentation systems. Thus, measurement redundancies and geometry of the satellites can be improved. GDOP (Geometric Dilution of Precision) and PDOP (Position Dilution of Precision) are associated with the constellation geometry of satellites, and they are the geometrically determined factors that describe the effect of geometry on the relationship between measurement error and position error. GDOP and PDOP are often used as standards for selecting good satellites to meet the desired positioning precision. In this paper, the related conclusions of minimum of GDOP which was discussed are given, and it is used to study the minimum of PDOP for two cases that the receiver is on the earth's surface and the receiver is on satellite. The corresponding theorem and constructive solutions of minimum of PDOP are given. Then, the rationality of the ISL (inter-satellite link) establishment criteria in Walker-delta constellation is discussed by using the theory of minimum of PDOP. Finally, the minimum of PDOP is calculated when the number of satellites is 4-10, and these results are verified by using Monte Carlo method.

• 出版日期2014-8-15
• 单位中国人民解放军信息工程大学