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JOURNALS // Trudy Instituta Matematiki i Mekhaniki UrO RAN // Archive

Trudy Inst. Mat. i Mekh. UrO RAN, 2023 Volume 29, Number 2, Pages 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

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.

UDC: 519.62

MSC: 00A05

Received: 11.03.2023
Revised: 15.04.2023
Accepted: 24.04.2023

DOI: 10.21538/0134-4889-2023-29-2-23-26



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© Steklov Math. Inst. of RAS, 2025