Racing line

Description

Driving the racing line is a primary technique for minimizing the overall course time. As the optimal path around a race course, the racing line can often be glimpsed on the asphalt in the form of tire skid marks. A. J. Baime described its formation in the early laps of a race at Le Mans:

Geometric line and variations

In theory, the optimal path around a race course follows a geometric line, which takes the widest possible arc through a corner. The line starts at the outside of the road, clips a point on the inside, and finishes back outside while maintaining a constant radius throughout. The clipping point is called the apex. In a 90 degree corner, for example, where the inner-edge radius is 30 ft and the outer-edge radius is 50 ft, the geometric line radius is 80 ft.

But while this line theoretically represents the fastest way through the corner, it may result in longer overall track times due to slower speeds on the straightaways. To compensate, drivers often delay the point where they begin to turn, thereby shortening the radius when entering the corner and lengthening the radius when exiting. This late apex line allows for earlier acceleration when exiting the corner into the straightaway, but requires slower speeds going in. Race driver Ross Bentley suggests as a rule of thumb: "The faster the corner, the closer to the geometric line you should drive" in order to maintain more speed through the turn. Conversely, "the slower the corner, the more you need to alter your line with a later apex." Doing so allows the driver to gear down for faster acceleration on the exit.

An early apex line, where the driver turns early into the curve, allows a faster entry but a slower exit. The practice is largely considered a beginner mistake.

Compound turns

Where two corners are linked together, the goal is to exit the second turn onto the straightaway at the maximum speed. To achieve this, the driver will "sacrifice the line" on the first turn in order to be in the optimal position for the second.

Geometry

The radius of the ideal racing line r_r must be dependent on 3 factors: outer radius r_o, inner radius r_i and the angle between the lines perpendicular to the entrance and exit of the turn \theta.

It can be proven that r_r=r_i+\frac{r_o-r_i}{1-cos(\theta/2)}

• pathfinding
• algorithms --

References

References

1. Bentley, Ross. (1998). "Speed secrets: professional race driving techniques". MBI Pub. Co.
2. Anderson, George A.. (1993). "Winning: A Race Driver's Handbook". Motorbooks International.
3. Baime, Albert J.. (2009). "Go Like Hell: Ford, Ferrari, and Their Battle for Speed and Glory at Le Mans". Houghton Mifflin Harcourt.