Sure, Tim. That's why I've made restitutions of tracks (well, only once and only of five specific tracks). They are for
clients that race in Historical F1. They use them for checking some racing lines, and for comparing the movements of suspension with the racing line, but I have no access to the software they use (those guys are RICH).
However, this is the beauty of racing (and the reason why I mocked slightly the papers given so kindly by 747 Heavy). You can get a mathematical solution for ONE curve.
It has been demonstrated that it is impossible to find an proven optimum solution for TWO curves, even if you use the Hamiltonian (which, anyway, is an approximation to the behavior of a car, because of the tyres are moving under the rim anyway and I guess that trying to model that is a nightmare).
In the end, most software works as a microsimulation, not a macro (micro uses simplifications about the behavior of the car and then "magic curves", while macro uses, supposedly, the true dynamical equations).
However, you can try. You can use
Hamiltonian mechanics, or so I think.
I used Bosch software and Brembo cards for some time here in Colombia, because the cards cost around 200 U$ and the software is free, but, hey, in the end is all about your instincts and your ability...
Anyway, give it a try, you'll learn A LOT. For Bosch software, check here:
http://www.bosch-motorsport.com/content ... l/3589.htm
The documentation is here:
http://www.bosch-motorsport.com/content ... Manual.pdf
And here:
http://www.bosch-motorsport.com/content ... mV2007.pdf
I posted in my defunct site a scan of the article about simulations, that appeared in RaceTech magazine. Just in case, this is it:
Accesible simulations
Belatti once passed me a nice package they use in TC, I gave it a try and, yes, it works. He should explain how he does it, because now he knows more than anyone around here, AFAIK.
I'm seriously going OOT here, so sure, this deserves a thread. However, what's its name? Roads and trajectories? We lack the information about superelevation, btw.