Suppose that you have two infinitely bouncy golf balls that exist inside a perfect sphere in weightless suspension, and both golf balls start bouncing at a random angle and are 10 or 100 times smaller than the container. The balls can either be zero friction and whatever simple friction scenarios can easily be applied in algebra.
What kinds of different patterns of collision in between the golf balls would occur and how can you categorize them? What study in mathematics is the problem described by?