I've always suspected that there is a drag effect on the first part of the storm to come ashore, causing it to rotate CCW around that point and start in a new direction. Crude, but preliminary thoughts.
Remember, a hurricane like this is pushing a massive amount of air out of it's way.
Push a rug and see how it bunches up. Stand back and look at where the rug has bunched up.
With only a single image, could you predict the direction that the rug moved?