I know quite a number of people ho had trouble with Aragron falling of the cliff in TTT. One of my friends who is a fan of romance however, loved it. (rolls eyes)
I always liked it because I thought it was a clever way of including Arwen into the movie and I hardly had to hear the documentary for the explanation.
Indeed the book never akes it very clear as to why Aragorn leaves Frodo and Sam although the movie has a good answer. Maybe they should have taken more time to develop the ideas they had. However, that would have made the movie longer and when I watched it in the theatres I remember that I really had to go to the washroom at the end which is why I made a point of not eating or drinking anything at all during the other two movies.