Abstract
[For the English abstract and full text of the article please see the attached PDF-File (English version follows Russian version)].ABSTRACT Prevention of the majority of emergency situations in navigation is based on observing a certain distance between vessels, which allows timely taking precautionary measures in order to avoid contact. The thus created conditional space of safety distances forms a navigation safety zone. The article gives a universal conceptual definition of such a zone, a generalized structural classification of factors affecting its size and shape, the nature of the isolinear zonal boundary. The concepts of isoasphalia as an idealized safe boundary, as well as an isoasphalic surface forming an idealized safe area around the vessel are introduced. On the basis of set theory, a variational law of variation of piecewise functions describing a safe space asymmetric with respect to the vessel’s diametric plane is derived. The resulting expression allows us to identify the boundary of an asymmetric elliptical navigation safety zone. Keywords: sea vessels, navigation safety, idealized model, isoline boundary, isoashpalia, isoasphalic surface, asymmetric elliptic zone, set theory, variational law.
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