A quick post, this, to comment that "swing the camera so that the moving subject stays in the middle of the frame. This comes naturally as a technique to most people" is nowhere near as easy as it sounds. The results I had from this exercise were simply appalling as the subject certainly didn't remain still (doubtless because I was moving the camera around), and again at the slower shutter speeds the whole image was completely burnt out. I include just this one image taken with a 1/6 sec shutter to show that I did at least try!
