Optimal geometry for oval sprint tracks.

Track aspect ratio is defined as the percentage of lap length devoted to turns on an oval running track. Equations based on experiments are developed to model a composite runner with a specified top speed, during an acceleration phase in the straightaways and a centripetal phase in the turns. We calculate velocity deficits for several common track sizes over the range of aspect ratios and predict that, under our assumptions, a perfect circle is the optimal track shape.

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