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| Three-satellite Positioning Algorithm with Altitude Aiding for Regional Navigation Satellite System |
| WANG Meng-a, b , MA Li-Hua-a, ZHANG Li-Rong-a, JI Hai-Fu-a, b , SHI Hu-Li-a |
| (a. National Astronomical Observatories, Beijing 100012;b. Graduate University, Chinese Academy of Sciences, Beijing 100049, China) |
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Abstract An altitude aiding positioning algorithm not constrained by altitude was proposed for the regional navigation satellite system (RNSS). The algorithm does not require construction of the approximate ellipsoid equation or the preceding position information. The key point of the algorithm is iteratively improving the virtual range from the earth center to the estimated position in processing of Newton’s method. The virtual range is combined by the measured altitude with the approximate latitude and longitude. In order to evaluate the performance of the proposed algorithm, a simulation analysis was performed based on the Chinese area positioning system (CAPS) in the verification phase. And the results show that the proposed algorithm can provide positioning at any altitude level from the ground to medium earth orbit (about 12 000 km).With the analysis of the dilution of precision matrix for the altitude aiding algorithm, formulas of the error ellipse’s axial length and direction were proposed. The simulation results show that the formulas can describe the error ellipse geometric characteristic accurately.
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Received: 05 December 2011
Published: 30 October 2012
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