Methods for observing an object moving in under conditions of its opposition

We propose ways of action of the observer f when tracking an object t moving in ${\mathrm{ℝ}}^3$ along the shortest trajectory $\mathcal{T}$ enveloping the set $\left\{G_i\right\}$ of convex sets. The object has velocity mini-objects that pose a hazard to the observer. The means of observation depend on the geometric properties of the sets $G_i$ and the trajectory $\mathcal{T}$. The observer's task – to track the motion of the object over as much of the trajectory $\mathcal{T}$ as possible.