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Analytical Approximation of Aircraft Flight Path on Ellipsoid

  • FLIGHT DYNAMICS AND CONTROL OF FLIGHT VEHICLES
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An Erratum to this article was published on 01 September 2020

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Abstract

The problem of analytical approximation is solved for the functional dependences of navigation parameters of aircraft, the flight paths of which are the geodetic lines of an ellipsoid or spherical orthodromic lines. The obtained functional dependences make it possible to significantly reduce the instrumentation of the measurement and navigation system of the aircraft and the computational costs in solving flight navigation problems.

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REFERENCES

  1. Dzhandzhava, G.I., Avgustov, L.I., Babichenko, A.V., Orekhov, M.I., Sukhorukov, S.Ya., and Shkred, V.K., Navigatsiya letatel’nykh apparatov v okolozemnom prostranstve (Navigation of Flying Vehicles in Circumterrestrial Space), Moscow: Nauchtekhlitizdat, 2015.

    Google Scholar 

  2. Afanas’ev, V.A., Degtyarev, G.L., and Meshchanov, A.S., Formation of Programmed Spatial Flight Trajectories of Unmanned Aerial Vehicles, Izv. Vuz. Av. Tekhnika, 2017, vol. 60, no. 3, pp. 29–37 [Russian Aeronautics (Engl. Transl.), vol. 60, no. 3, pp. 349–357].

    Google Scholar 

  3. Andreev, K.V., Khoroshen’kikh, S.N., and Moiseev, G.V., Flight Path Optimization for an Electronic Intelligence Unmanned Aerial Vehicle, Izv. Vuz. Av. Tekhnika, 2015, vol. 58, no. 1, pp. 14–18 [Russian Aeronautics (Engl. Transl.), vol. 58, no. 1, pp. 15–20].

    Google Scholar 

  4. Sokolov, S.V., Analytical Models of Spatial Trajectories for Solving Navigation Problems, Prikladnaya Matematika i Mekhanika, 2015, vol. 79, no. 1, pp. 24–30 [Journal of Applied Mathematics and Mechanics (Engl. Transl.), 2015, vol. 79, no. 1, pp. 17–22].

    MathSciNet  Google Scholar 

  5. Lukasevich, V.I., Sokolov, S.V., and Stazharova, L.N., Estimation of Parameters of Motion Object by Integrated Navigation System Using the Data of E-Maps, Aviakosmicheskoe Priborostroenie, 2014, no. 5, pp. 24–33.

    Google Scholar 

  6. Morozov, V.P., Kurs sferoidicheskoi geodezii (Course of Spheroid Geodesy), Moscow: Nedra, 1979.

    Google Scholar 

  7. Gradshtein, I.S. and Ryzhik, I.M., Tablitsy integralov (Table of Integrals), Moscow: Fizmatlit, 1963.

    Google Scholar 

  8. Serapinas, B.B., Geodezicheskie osnovy kart (Geodetic Foundations of Maps), Moscow: MGU, 2001.

    Google Scholar 

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ACKNOWLEDGEMENTS

This paper was prepared with the support of the RUDN Program “5–100”, the results of the work were used in the implementation of state assignment no. 1.11772.2018 / 11.12.

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Correspondence to P. A. Kucherenko.

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Sokolov, S.V., Kucherenko, P.A. Analytical Approximation of Aircraft Flight Path on Ellipsoid. Russ. Aeronaut. 63, 260–267 (2020). https://doi.org/10.3103/S1068799820020105

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  • DOI: https://doi.org/10.3103/S1068799820020105

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