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 $\mathcal{T}$, composed of a segment and an arc $\Lambda$. The observer detects pairs of objects at the moments they pass through predetermined fixed control points evenly distributed along $\mathcal{T}$. 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.