No firm proposal here; just some more discussion, some math and some ideas for analysis that others might do.
So: If we were able to measure the skier's path during a nice clean pass, and then plunk down
start gates right where they fit the skier's path, where would they be?
From observations back-when at some Tour sites that may have had things in the way during
practice/media skiing, such as jump timing buoys, I've noticed that as the towline gets shorter,
the skier crosses the boat wake 'sooner'. Which I remember to be a significant amount, such as
15 or more feet sooner, going from say 28 to 38 off.
Suppose you could put the gates at the optimum location, where would they be?
From back in the early to mid 1960's, there were some tests and experiments on shortening
the endgates. Which used to be a full 45 yards or 135 feet longitudinally from the # 1 level.
I've heard that Ken White proposed a change, and I remember that such a change was tried
about the 1963 Masters. Also from another oldtimer that there were tests after the 1965 Worlds
in Australia. The top skiers were having to double-turn # 1 at shortline, as in 24 and 30 off.
Of course, all us lesser-talented skiers thought the move was to make the course more difficult.
While the tops guys wanted it.
When this idea was incorporated in the AWSA rules, the distance went from 135 to 90 feet.
Note that 90 feet is about 17 inches longer than what we have today at 27 meters. Back at that time,
in the late 1960's, no one was running 38 off. Note that the first US Open Men record recognized
in SL was 1 at 38 at the 1973 Nationals.
Anyway, getting back to the original idea, how about using some video from the boat to
determine where the skier crosses the center of the wake? With frame-counting and using
many samples, that should be relatively accurate, especially if there can be good video at a
higher framing rate than the 30-ish fps for NTSC video.
Probably Nate Smith would be the prime subject for boat video at super-short line.
Should be plenty of video that @horton and others have. Should be some math/tech geeks
on this site like @than who could put their minds to it.
Have a look at the diagrammed example below. Hope it is large & clear enough to be understood.
The example is at a line length of 32 off, and where the skier is found to cross the wake in halfway
of the time from buoy-to-buoy (2.545 sec at 58 kph buoy-to-buoy). Turns out that the distance
is close to the 14 meter amount, or 41-27 meters. But, this is just a theoretical example.
Since the handle doesn't reach the buoy beyond 35 off (12.00m), what corrections to use for
38 and beyond? Have fun. Could be a good engineering school project?