OBSERVATION OF THE FLOW OF OBJECTS ON A GEODETIC ARC IN ℝ3 IN CONDITIONS OF COUNTERACTION

Abstract

This paper proposes methods for an observer f to track a flow of objects t_i moving at constant velocity along a smooth geodesic trajectory T, composed of a segment and an arc Λ. The observer detects pairs of objects at the moments they pass through predetermined fixed control points evenly distributed along T. An unfriendly object, after being detected, may direct a dangerous mini-object toward the observer. The work presents algorithmic approaches for tracking objects moving along straight-line segments and smooth arcs.