A bunch of N particles are moving in a 2D plane. We are able to get their positions, speeds, and directions of moving at any given time.
Another bunch of M particles, somewhere 'beside' the N particles, also have their positions, speeds, and directions recorded.
If the first N particles move, the M particles somewhat move "similarly" at a later time, trying to 'mimic' or follow the first N particles.
Using their positions, velocities, I want to study how similar these movements are. If the M particles eventually trace the path or follow the motion of the first N particles.
What statistical concept am I looking at here? Cross-correlation? Your insights would be indeed helpful.