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The paper presents the results of research on improving the accuracy of aircraft positioning using RTK-OTF (Real Time Kinematic–On The Fly) technique in air navigation. The paper shows a new solution of aircraft positioning for the application of the differential RTK-OTF technique in air navigation. In particular, a new mathematical model is presented which makes it possible to determine the resultant position of an aircraft based on the solution for the method of least squares in a stochastic process. The developed method combines in the process of alignment of GPS (Global Positioning System) observations, three independent solutions of the aircraft position in OTF mode for geocentric coordinates XYZ of the aircraft. Measurement weights as a function of the vector length and the mean vector length error, respectively, were used in the calculations. The applied calculation method makes it possible to determine the resultant position of the aircraft with high accuracy: better than 0.039 m with using the measurement weight as a function of the vector length and better than 0.009 m with the measurement weight as a function of the mean error of the vector length, respectively. In relation to the classical RTK-OTF solution as a model of the arithmetic mean, the proposed method makes it possible to increase the accuracy of determination of the aircraft position by 45–46% using the measurement weight as a function of the vector length, and 86–88% using the measurement weight as a function of the mean error of the vector length, respectively. The obtained test results show that the developed method improves to significantly improve the accuracy of the RTK-OTF solution as a method for determining the reference position in air navigation.

In this paper, the results of aircraft positioning based on GPS code observations in air aviation are presented. The aircraft position was recovery using Between Satellite Single Difference (BSSD) method in GPS system. The BSSD method was applied for designation the precise position of Cessna 172 plane in flight test in air navigation. The coordinates of Cessna 172 plane were determinated using least square estimation in XYZ geocentric frame. The average accuracy of aircraft position equals to 0.797 m for X axis, 0.496 m for Y axis and 0.966 m for Z axis, respectively. In addition, the protection level of HPL parameter amounts to 4.991 m and 5.749 m for VPL term. In paper, the XYZ coordinates of Cessna 172 plane were also compared with PPP solution from GAPS software. The value of RMS bias is about 1.642 m for X axis, 0.902  m for Y axis and 0.892 m for Z axis, respectively. [ABSTRACT FROM AUTHOR]

In this article, the results of GPS positioning in civil aviation are presented. The flight test was conducted using Cessna 172 aircraft in Dęblin on 1st of June 2010. The aircraft position was determinated using Single Point Positioning method for GPS code observations. The numerical computations were executed in Aircraft Positioning Software (APS) in Scilab 5.4.1 language. The average accuracy of aircraft position is higher than 11 m in horizontal coordinates and about 13 m in vertical plane, respectively. [ABSTRACT FROM AUTHOR]

The paper presents the results of research on improving the accuracy of aircraft positioning using RTK-OTF (Real Time Kinematic–On The Fly) technique in air navigation. The paper shows a new solution of aircraft positioning for the application of the differential RTK-OTF technique in air navigation. In particular, a new mathematical model is presented which makes it possible to determine the resultant position of an aircraft based on the solution for the method of least squares in a stochastic process. The developed method combines in the process of alignment of GPS (Global Positioning System) observations, three independent solutions of the aircraft position in OTF mode for geocentric coordinates XYZ of the aircraft. Measurement weights as a function of the vector length and the mean vector length error, respectively, were used in the calculations. The applied calculation method makes it possible to determine the resultant position of the aircraft with high accuracy: better than 0.039 m with using the measurement weight as a function of the vector length and better than 0.009 m with the measurement weight as a function of the mean error of the vector length, respectively. In relation to the classical RTK-OTF solution as a model of the arithmetic mean, the proposed method makes it possible to increase the accuracy of determination of the aircraft position by 45–46% using the measurement weight as a function of the vector length, and 86–88% using the measurement weight as a function of the mean error of the vector length, respectively. The obtained test results show that the developed method improves to significantly improve the accuracy of the RTK-OTF solution as a method for determining the reference position in air navigation. [ABSTRACT FROM AUTHOR]