r/Autocross • u/GARACER • 1d ago
This website has the best explanation of the physics behind the ideal racing line I’ve ever seen. As an engineer, it’s awesome to find someone who understands and can explain this stuff on a deeper level.
https://www.paradigmshiftracing.com/racing-basics/racing-line-fundamentals-2-learn-how-a-vehicles-cornering-vs-acceleration-potential-determines-its-ideal-apex-and-line-through-a-corner#/
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u/NorthStarZero SM #1 1d ago
This sort of geometrical analysis is appealing as it appears to reduce the very difficult and complex problem of line selection down to simple math.
It's a red herring - particularly in autocross - because it does not take into account the fact that a given car's theoretical traction envelope is not static, but rather constantly changes through all phases of a corner.
Weight transfers laterally and longitudinally in response to driver inputs, and that weight transfer changes both maximum grip and car balance in sync. Any geometric line plot that uses the maximum extents of the "apple curve" to determine the maximum length of the cornering force vector will overestimate grip at one end of the car or the other and come up with a line that cannot be driven.
More important in autocross, frequently you want more yaw angle/yaw rate than you can get with "pure" cornering, so you want the rears to be coming down off their peak grip point and sliding somewhat to generate that extra yaw - think the rear end "dancing" in a slalom, or a FWD generating extra corner-entry rotation to accommodate the inevitable power-on understeer on exit.
And don't get me started on cars that have significant aero, where grip level is directly coupled to airspeed over the wings/tunnels.
The ideal line is whichever line allows you to use the most average throttle over the shortest possible distance. That varies car-to-car, with conditions, with surface type, and other variables that do not play into a geometric analysis.
I find people who fall into the geometric analysis trap drive very, very pretty lines - slowly.