No offense Blukitty- But I think you mis-read my post.
We essentially described the same manuever in different words, and having re-read our posts I think we both stated it in ways that could be mis-interpreted.
I said-
"You will have both flown the same distance, but since your opponent flew the tighter coils, he will be out in front of you begging to be shot."
I saying so I meant that he had flown the smaller (tighter) radius coils, causing his flightpath (slinky/coil) to be stretched more, or covering more linear distance in the same or less time (to use your time analogy, which is good). I would have been more clear had I also pointed out that while the flight distance/time was the same for both planes, the linear distance was shorter for the plane that flew the larger radius coils.
I also used the term "tighter" to first describe coils that are large radius, but close together and then use the term "tighter" as meaning stretched out more with a smaller radius. Confusing? Yup. Easy to see it in my mind, harder to put in words. I switched between describing coil "nearness?" first, then radius, using the same terms.
You said-
"To use your slinky comparison.... the tighter the coil is, the better."
You obviously mean coil tightness here, but it could be interpreted as a tighter radius, which would give the wrong result.
Also-
"You can manuver to make your aircraft cover more distance, to end up at the same point as if flew straight... but the point is, you end up there later with a similar E state."
Could be interpreted in several ways also. Distance = Flightpath? Or linear distance? etc...
Lesson learned? I need to figure out how to draw diagrams and how to post images here.
BatfinkV obviously has the right idea. (Of course! I've learned much from his posts!)
Can somebody draw the two coils we're taking about? I'll try, but no promises.
MtnMan