A theory of competitive running

SEP 01, 1973

Using simple dynamics one can correlate the physiological attributes of runners with world track records and determine the optimal race strategy.

DOI: 10.1063/1.3128231

Joseph B. Keller

World records for running provide data of physiological significance. In this article, I shall provide a theory of running that is simple enough to be analyzed and yet allows one to determine certain physiological parameters from the records. The theory, which is based on Newton’s second law and the calculus of variations, also provides an optimum strategy for running a race.

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References

1. B. B. Lloyd, Advancement of Science 22, 515 (1966).https://doi.org/ADSCAH
2. R. Margaria, P. Cerretelli, P. Aghemo, G. Sassi, J. Appl. Physiol. 18, 367 (1963).https://doi.org/JAPYAA
3. R. Margaria, P. Cerretelli, F. Mangilli, P. E. Di Pramero, “The energy cost of sprint running,” ler Congres Européen de Medicine Sportive, Prague, (1963).
4. A. V. Hill, Muscular Activity: Herter Lectures, 1924, Williams and Wilkins, Baltimore (1926).

More about the authors

Joseph B. Keller, Courant Institute of Mathematical Sciences, New York University.