Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

A Spatially Bounded Airspace Axiom

Version 1 : Received: 19 March 2022 / Approved: 24 March 2022 / Online: 24 March 2022 (02:17:23 CET)
Version 2 : Received: 2 May 2022 / Approved: 5 May 2022 / Online: 5 May 2022 (03:25:54 CEST)

A peer-reviewed article of this Preprint also exists.

Szabó, P.; Ferencová, M.; Blišťanová, M. A Spatially Bounded Airspace Axiom. Axioms 2022, 11, 244. Szabó, P.; Ferencová, M.; Blišťanová, M. A Spatially Bounded Airspace Axiom. Axioms 2022, 11, 244.

Journal reference: Axioms 2022, 11, 244
DOI: 10.3390/axioms11060244

Abstract

Free route airspace (FRA) is a new concept of European air transport. It has been designed to eliminate the negative impact of air traffic on the environment, minimize fuel consumption, simplify and expand flight planning. In our research, FRA is modelled by using graph theory, networks, and convex analysis. We also looked for answers to the question which are the basic mathematical properties of airspace? Basic mathematical properties are expressed using axioms. Therefore, in our work, we state the general, basic axiom of airspace based on our FRA research. The axiom is given using practical, significant entry points and geodetic coordinates.

Keywords

Earth-centered Earth-fixed; Free Route Airspace; Significant Points; Simple Airspace Polygon; Airspace Axiom

Subject

MATHEMATICS & COMPUTER SCIENCE, Geometry & Topology

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