FL47CH19-Clanet ARI 18 November 2014 13:26 Sports Ballistics Christophe Clanet LadHyX, UMR7646, CNRS, Ecole Polytechnique, 91128 Palaiseau, France; email:
[email protected] Annu. Rev. Fluid Mech. 2015.47:455-478. Downloaded from www.annualreviews.org Annu. Rev. Fluid Mech. 2015. 47:455–78 Keywords Access provided by Massachusetts Institute of Technology (MIT) on 01/07/15. For personal use only. First published online as a Review in Advance on aerodynamics, sports physics, knuckleball, pop-up, Tartaglia, Roberto September 22, 2014 Carlos’s spiral, shuttlecock flip, ski jump, size of sports fields The Annual Review of Fluid Mechanics is online at fluid.annualreviews.org Abstract This article’s doi: This review describes and classifies the trajectories of sports projectiles that 10.1146/annurev-fluid-010313-141255 have spherical symmetry, cylindrical symmetry, or (almost) no symmetry. Copyright c 2015 by Annual Reviews. This classification allows us to discuss the large diversity observed in the All rights reserved paths of spherical balls, the flip properties of shuttlecocks, and the optimal position and stability of ski jumpers. 455 FL47CH19-Clanet ARI 18 November 2014 13:26 1. INTRODUCTION In 1671, Isaac Newton published his new theory of light and wrote about refraction: Then I began to suspect, whether the Rays, after their trajection through the Prisme, did not move in curve lines. And it increased my suspicion when I remembred that I had often seen a Tennis ball, struck with an oblique Racket, describe a curve line. (Newton 1671) One might be surprised by the unexpected use of the word tennis 1 more than two centuries before the official creation of the sport in England (1874).