Una Anàlisi matemàtica del moviment d'una pilota de futbol durant el vol

Authors

  • Timothy G. Myers
  • Sarah L. Mitchell

Abstract

In this paper an analytical and numerical study of the three-dimensional equations describing the motion through the air of a spinning ball is presented. The initial analysis involves constant drag coefficients but is later extended to involve drag varying with the spin ratio. Excellent agreement is demonstrated between numerical and analytical results. The analytical solution shows explicitly how the balls motion depends on parameters such as ball roughness, velocity and atmospheric conditions. The importance of applying three-dimensional models, rather than two-dimensional approximations, is demonstrated.

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Published

2016-01-20

How to Cite

Myers, T. G., & Mitchell, S. L. (2016). Una Anàlisi matemàtica del moviment d’una pilota de futbol durant el vol. Butlletí De La Societat Catalana De Matemàtiques, 30(2), 167–191. Retrieved from https://revistes.iec.cat/index.php/BSCM/article/view/89850.003

Issue

Vol. 30 No. 2 (2015)

Section

Articles

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