Okay. So my goal is to bounce a particle off of 3 circles with centers at the vertices of an equilateral triangle. The side length of each side of the triangle is 6 units and the radius of the circles are 1 unit. I am shooting a particle from anywhere at any angle with unit speed. The particle needs to bounce around in the system of circles and eventually escape. I have written a computer program to model this behavior. I am NOT allowed to shoot it in a manner that creates an infinite number of bounces.
Does anyone have a hunch as to what starting location and starting angle i should use to get the highest number of hits?
The Attempt at a Solution
The most i can get is three. and this was done using random numbers in the computer.