New Methodology of Designation the Precise Aircraft Position Based on the RTK GPS Solution
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....
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-12-01
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| Series: | Sensors |
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| Online Access: | https://www.mdpi.com/1424-8220/22/1/21 |
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| author | Kamil Krasuski Adam Ciećko Mieczysław Bakuła Grzegorz Grunwald Damian Wierzbicki |
| author_facet | Kamil Krasuski Adam Ciećko Mieczysław Bakuła Grzegorz Grunwald Damian Wierzbicki |
| author_sort | Kamil Krasuski |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-10T03:23:14Z |
| format | Article |
| id | doaj.art-8b07534a922345f08ee6f48dfcf430fe |
| institution | Directory Open Access Journal |
| issn | 1424-8220 |
| language | English |
| last_indexed | 2024-03-10T03:23:14Z |
| publishDate | 2021-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Sensors |
| spelling | doaj.art-8b07534a922345f08ee6f48dfcf430fe2023-11-23T12:15:39ZengMDPI AGSensors1424-82202021-12-012212110.3390/s22010021New Methodology of Designation the Precise Aircraft Position Based on the RTK GPS SolutionKamil Krasuski0Adam Ciećko1Mieczysław Bakuła2Grzegorz Grunwald3Damian Wierzbicki4Institute of Navigation, Polish Air Force University, 08-521 Dęblin, PolandFaculty of Geoengineering, University of Warmia and Mazury in Olsztyn, 10-720 Olsztyn, PolandInstitute of Navigation, Polish Air Force University, 08-521 Dęblin, PolandFaculty of Geoengineering, University of Warmia and Mazury in Olsztyn, 10-720 Olsztyn, PolandDepartment of Imagery Intelligence, Faculty of Civil Engineering and Geodesy, Military University of Technology, 00-908 Warsaw, PolandThe 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.https://www.mdpi.com/1424-8220/22/1/21RTK-OTFleast square estimationaircraft positionstandard deviationGPS |
| spellingShingle | Kamil Krasuski Adam Ciećko Mieczysław Bakuła Grzegorz Grunwald Damian Wierzbicki New Methodology of Designation the Precise Aircraft Position Based on the RTK GPS Solution Sensors RTK-OTF least square estimation aircraft position standard deviation GPS |
| title | New Methodology of Designation the Precise Aircraft Position Based on the RTK GPS Solution |
| title_full | New Methodology of Designation the Precise Aircraft Position Based on the RTK GPS Solution |
| title_fullStr | New Methodology of Designation the Precise Aircraft Position Based on the RTK GPS Solution |
| title_full_unstemmed | New Methodology of Designation the Precise Aircraft Position Based on the RTK GPS Solution |
| title_short | New Methodology of Designation the Precise Aircraft Position Based on the RTK GPS Solution |
| title_sort | new methodology of designation the precise aircraft position based on the rtk gps solution |
| topic | RTK-OTF least square estimation aircraft position standard deviation GPS |
| url | https://www.mdpi.com/1424-8220/22/1/21 |
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