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Great animation!
Suggested improvement:
I drew a PE that had a small well to the left and then decreased to
-infinity to the right of the well.
Clicking at an altitude that could trap the particle in the well; caused
the program to assume it was so trapped rather than in the region to the
right where the motion would be unbounded. So I would alter the program to
assume that where you click (left <->right) is the initial location of the
particle in order to take care of cases where a given total energy might be
a particle that is localized or one that may exhibit unbound motion.
Cool animation though, even as is.