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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 R3 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 R3 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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