Abstract
GDOP is one of the important standards which measure the accuracy of a navigation positioning system. Firstly, this article discusses the shortcomings in the domestic and foreign literatures of deriving the minimum of GDOP. The existing theories of minimum of GDOP are all based on the observations of ground stations, and the deduced GDOP minimum value cannot be reached because the observable range of the receiver do not be considered. Then, the minimum GDOP is derived under the condition which the cutoff angle of satellite is greater than zero, and a method to get the minimum GDOP is proposed and the corresponding geometry between satellites is given. This new theory of minimum of GDOP is also applied to the criteria for inter-satellite link establishment in Walker-δ constellation which is proposed by the authors. The optimal structure diagram of inter-satellite link is given in terms of GDOP. Finally, computations indicate the effective and useful of this new theory of the minimum of GDOP.
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Sheng Z, Yang JS, Zeng FL (2009) The minimum value of GDOP in pseudo-range positioning. Fire Control Command Control 34(5):22–24
Jwo DH, Lai CC (2007) Neural network-based GPS GDOP approximation and classification. GPS Solution 11(1):51–60
Lohani G, Kumar R (2007) A model for GPS-GDOP prediction in urban environment using LiDAR data. In: Proceedings of International conference on optical 3D measurement techniques, pp 339–346
Chester TJ, Butman SA (1981) Navigation using X-Ray pulsars.NASA TR N81-27129: 22–25
Cong L, Abidat AI, Tan ZZ (2006) Analysis and simulation of the GDOP of satellite navigation. Acta Electronica Sinica 34(12):2204–2208
Zhang YL, Fan L, Zhang Y et al (2008) Theory and design of satellite constellations. Science Press, Beijing
Cong L, Tan ZZ (2008) Satellite selection algorithm to improve precision and real-time performance of GPS positioning. Syst Eng Electron 30(10):1914–1917
Yang Y, Miao LJ (2004) GDOP results in all-in-view positioning and in four optimum satellites positioning with GPS PRN codes ranging. IEEE position location and navigation symposium, pp 723–727
Sairo H, Akopian D, Takala J (2003) Weighted dilution of precision as quality measure in satellite positioning. IEEE Radar, Sonar Navig 150(6):430–436
Li JW, Li ZH, Zhou W et al (2011) Study on the minimum of GDOP in satellite navigation and its applications. Acta Geodsetica at Cartographica Sinica 40:85–89
He XF (2009) Algorithms for BD/MIMU integrated navigation systems. National University of Defense Technology, Changsha
Ananda MP, Berstein H, Bruce RW et al (1984) Autonomous navigation of the global positioning system satellite. AIAA guidance and control conference, Seattle, WA, August, pp 20–22
Hou F, Liu WK, Fang RX (2009) Analysis and control method for constellation rotationin navigation satellite autonomous orbit determination. Geomatics Inf Sci Wuhan Univ 34(11):1280–1284
Rajan JA, Brodie P, Rawicz H et al (2003) Modernizing GPS autonomous navigation with anchor capability. GNSS 2003, September, Portland, pp 1534–1542
Zhu J, Wen YL, Chen ZG, Liao Y, Pan WH (2008) Research on modeling and simulation of semi-autonomous orbit determination for satellite navigation constellation. In: Proceedings of system simulation and scientific computing, Oct 2008, pp 252–257
Hermenier R, Kissling C, Donner A (2009) A delay model for satellite constellation networks with inter-satellite links. In: Proceedings of the international workshop on satellite and space communications, Siena-Tuscany, Italy, pp 3–7
Han SH, Gui QM, Li JW, Du YL (2011) Analysis of the connectivity and robustness of inter-satellite links in a constellation. Sci China Phys, Mech Astron 54(6):1–5
Han SH, Gui QM, Li JW, Chen Po, Du YL (2012) Analysis of the routing algorithm and using probability of inter-satellite link in Walker-δ constellation. China satellite navigation conference (CSNC) 2012 proceedings, lecture notes in electrical engineering vol 161, pp 333–341
Acknowledgments
This research was supported jointly by National Science Foundation of China (No. 40974009, No.41174005), Planned Research Project of Technology of Zhengzhou City, and Funded Project with youth of Annual Meeting of China’s satellite navigation, PhD Dissertation Innovation Fund of Information Engineering University.
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Han, S., Chen, P., Gui, Q., Li, J., Wei, M. (2013). Minimum of GDOP of Satellite Navigation and Its Applications in ISL Establishment of Walker-δ Constellation. In: Sun, J., Jiao, W., Wu, H., Shi, C. (eds) China Satellite Navigation Conference (CSNC) 2013 Proceedings. Lecture Notes in Electrical Engineering, vol 244. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-37404-3_13
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DOI: https://doi.org/10.1007/978-3-642-37404-3_13
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