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Pré-publication, Document de travail (working paper)

A Geometric Approach to Study Aircraft Trajectories: the benefits of OpenSky Network ADS-B data

Abstract : To date, the statistical analysis of aircraft trajectories has been under-exploited in the Airspace Traffic Management (ATM) literature. One reason is the need for advanced methods to tackle the high sampling irregularity and temporal correlation that both characterize a trajectory. Differential geometry provides a relevant framework to study trajectories. Modeling trajectories as parametrized curves, shape analysis allows to answer operational questions. This work presents a geodesic distance that rigorously defines and quantifies shape differences between aircraft trajectories. The key idea is to compare how the shape of a given trajectory changes from one popular data set (the Eurocontrol R&D data archive) to another one (OpenSky Network ADS-B data). Distances as well as geodesic paths are computed for a sample of flights departing from Toulouse-Blagnac (LFBO) and landing at Paris-Orly (LFPO) in 2019. Its use for clustering purposes is illustrated and discussed.
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Pré-publication, Document de travail (working paper)
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https://hal-enac.archives-ouvertes.fr/hal-03848832
Contributeur : Remi Perrichon Connectez-vous pour contacter le contributeur
Soumis le : vendredi 11 novembre 2022 - 06:51:50
Dernière modification le : jeudi 17 novembre 2022 - 03:19:08

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7046_paper.pdf
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  • HAL Id : hal-03848832, version 1

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Rémi Perrichon, Thierry Klein, Xavier Gendre. A Geometric Approach to Study Aircraft Trajectories: the benefits of OpenSky Network ADS-B data. 2022. ⟨hal-03848832⟩

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