Tim, watch the video on Gellie's website I linked above. It will reveal what the rotation is and why it is there. Using examples from the World Cup. Hint: it is about turning the ski inside the radius possible given the edge angle developed.Kirkwood was one of the first, if not the first Ski School to, in 1997, adopt the blue and white Elan SCX short super sidecut soft ski in its rental and teaching fleet.
Back then snowboarding was all the rage, so we instructors got to free ski allot. We would take out the SCX's and go as fast as we could on a steep groomed blue run and see if we could scribe a purely carved circle down and around and back up and through the apex of the circle and back own, entirely on edge. I did it a handful of times, but many times I would stall just before the circle's apex and have to cheat with an uphill push off to make it up and over. It was a hoot to try back then.
I think I mentioned elsewhere that a couple of years ago my trainer said that I will not progress further until I stop skiing edge to edge and add more rotation.
Edit: I will say it again. The title of this thread is "Retraction Turns" and
There is only one way (that I know) to turn a ski that is retracted. And that is Rotation.
Mike