A theory of competitive running
DOI: 10.1063/1.3128231
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.
