"The Racing Line"- Mathematical breakdown

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Simplifies,yes. But a real racing line also has to factor in the previous and following turn, bumps at the apex, which might allow you to go faster off the line and lots more. Cool kid though and good stuff with practical math and friction =1
 
but cars and bikes behave differently. what threw me off early in my sportbike riding years was taking an ideal line for a car. I can't remember which book I read (Keith Code or similar), that advocated waiting for a late turn in. You hit the same apex more or less, but you "square off" the corner whereas in a sports car you want to take the smoothest line possible.

On the local track, I generally start turning in later on a bike than in a car for a given corner, and well, it works for me. YMMV.
 
but cars and bikes behave differently. what threw me off early in my sportbike riding years was taking an ideal line for a car. I can't remember which book I read (Keith Code or similar), that advocated waiting for a late turn in. You hit the same apex more or less, but you "square off" the corner whereas in a sports car you want to take the smoothest line possible.

On the local track, I generally start turning in later on a bike than in a car for a given corner, and well, it works for me. YMMV.

Depends on the type of bike you're on too. Squaring off corners is great for superbikes since you can afford to sacrifice some speed pre-apex because getting on the gas earlier means you'll make up for it but on a 250 that's a bad strategy.
 

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