Preprint Article Version 2 Preserved in Portico This version is not peer-reviewed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.


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.


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


Computer Science and Mathematics, Geometry and Topology

Comments (1)

Comment 1
Received: 5 May 2022
Commenter: Peter Szabó
Commenter's Conflict of Interests: Author
Comment: Main modifications: references, removal and addition of some links. Links check. Keyword update.
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