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Trajectory

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Air Navigation

Abstract

Section III is focused on flight trajectory planning, execution, and monitoring, building on the air navigation fundamentals and air navigation systems presented in the previous sections. This chapter presents flight trajectories with their mathematical models and algorithms: direct-to trajectory, loxodrome or rhumb line, and orthodrome or great circle route, calculated by spherical trigonometry, haversine, and rotations methods. As the most efficient air navigation method, the brachistochrone is presented further. Instrument flight procedures, area navigation (RNAV) and performance-based navigation (PBN)/required navigation performance (RNP) trajectories are presented next as less efficient but very safe flight trajectories.

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References

  1. Pleter OT, Constantinescu CE (2022) A review of flight trajectory optimizations. J Navig 75(3). https://doi.org/10.1017/S0373463322000248

  2. EUROCONTROL (2020) Environmental assessment: European ATM network fuel inefficiency study, 1st edn. EUROCONTROL, Brussels

    Google Scholar 

  3. National Oceanic and Atmospheric Administration (2021) NOAA national operational model archive and distribution system. Retrieved from NOAA national oceanic and atmospheric administration: https://nomads.ncdc.noaa.gov

  4. International Civil Aviation Organization (2013) ICAO Doc 9993, continuous climb operations (CCO) manual, 1st edn. ICAO, Montreal

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  5. International Civil Aviation Organization (2013) ICAO Doc 9931, continuous descent operations (CDO) manual, 1st edn. ICAO, Montreal

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  6. International Civil Aviation Organization (2006) Doc 8168, procedures for air navigation services, 5th edn. ICAO, Montreal

    Google Scholar 

  7. Aeronautical Radio, Incorporated (2000) ARINC specification 424–15, navigation system data base, ARINC standards 400. ARINC, Annapolis MD

    Google Scholar 

  8. International Civil Aviation Organization (2013) Doc 9613, performance-based navigation manual, volume I, concept and implementation guidance; volume II, implementing RNAV and RNP operations (4th edn). ICAO, Montreal

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Pleter, O.T. (2024). Trajectory. In: Air Navigation. Springer Aerospace Technology. Springer, Cham. https://doi.org/10.1007/978-3-031-52994-8_9

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  • DOI: https://doi.org/10.1007/978-3-031-52994-8_9

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-52993-1

  • Online ISBN: 978-3-031-52994-8

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