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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2023, Volume 29, Number 2, Pages 23–26
DOI: https://doi.org/10.21538/0134-4889-2023-29-2-23-26 (Mi timm1996) 		 
The motion in $\mathbb{R}^3$ of an observer under threat from an object

V. I. Berdyshev

N.N. Krasovskii Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
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DOI: https://doi.org/10.21538/0134-4889-2023-29-2-23-26
Abstract: For an observer moving over a cone, a way of motion is proposed that allows the observer to monitor an object on the largest possible part of its trajectory under the threat from mini-objects launched by the object in the process of its motion.
Keywords: navigation, optimal trajectory, moving object, observer, video sensor, locator.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-02-2023-913
This study is a part of the research carried out at the Ural Mathematical Center and supported by the Ministry of Science and Higher Education of the Russian Federation (agreement no. 075-02-2023-913).
Received: 11.03.2023
Revised: 15.04.2023
Accepted: 24.04.2023
Bibliographic databases:
Document Type: Article
UDC: 519.62
MSC: 00A05
Language: Russian
Citation: V. I. Berdyshev, “The motion in $\mathbb{R}^3$ of an observer under threat from an object”, Trudy Inst. Mat. i Mekh. UrO RAN, 29, no. 2, 2023, 23–26
Citation in format AMSBIB
\Bibitem{Ber23}
\by V.~I.~Berdyshev
\paper The motion in $\mathbb{R}^3$ of an observer under threat from an object
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2023
\vol 29
\issue 2
\pages 23--26
\mathnet{http://mi.mathnet.ru/timm1996}
\crossref{https://doi.org/10.21538/0134-4889-2023-29-2-23-26}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=610577}
\elib{https://elibrary.ru/item.asp?id=53846795}
\edn{https://elibrary.ru/afcfaj}
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