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 R3 along the shortest trajectory T enveloping the setGi 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 setsGi and the trajectory T. The observer's task – to track the motion of the object over as much of the trajectory T as possible.