V. I. Berdyshev, “An observer moving along a cone in <nobr>$\mathbb{R}^3$</nobr> under conditions of opposition from the object”, Dokl. RAN. Math. Inf. Proc. Upr., 2023, Volume 513,Pages <nobr>15

MATHEMATICS

An observer moving along a cone in $\mathbb{R}^3$ under conditions of opposition from the object

V. I. Berdyshev

N.N. Krasovskii Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Yekaterinburg, Russian Federation

Abstract: The paper presents two models of motion of a corporeal observer along a conical surface in $\mathbb{R}^3$, when the observed moving object has a set of high-speed hitting mini-objects.

Keywords: navigation, autonomous vehicle, opposition, trajectory, observer.

UDC: 519.62

Received: 06.06.2023
Revised: 23.06.2023
Accepted: 07.08.2023

DOI: 10.31857/S2686954323700261