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Three-Dimensional Motion of Tennis Ball

Anastas Ivanov Ivanov
Todor Kableshkov University of Transport, Sofia 1574, Bulgaria


DOI: https://doi.org/10.52542/tjdu.1.1.57-68

Keywords: tennis balls, 3D motion, magnus effect, numerical solution, MatLab.

Abstract

Modern tennis players use a variety of strokes. From the physical point of view, these shots can be classified into eight main groups depending on the way the racket interacts with the tennis ball. These are strokes with top, bottom, side, top-side, and bottom-side rotation, as well as strokes without rotation. These eight interactions lead to eight main types of trajectories at the same initial position and the same initial linear velocity. The main purpose of the study is to determine these trajectories and to describe their advantages and disadvantages in modern competitive tennis. The calculations and graphical images are performed with the MatLab mathematical package.



References

G. Magnus, Über die Abweichung der Geschosse, Abhandlungen der Königlichen Akademie der Wissenschaften zu Berlin, 1852, 1-23.
G. Magnus, Über die Abweichung der Geschosse, und: Über eine abfallende Erscheinung bei rotiernden Körpern, Annalen der Physik, 164(1), 1853, 1-29.
Newton, A letter of Mr. Isaac Newton, of the University of Cambridge, Philosophical Transactions of the Royal Society, Cambridge, 7, 1672, 3075–3087.
B. Robins, New Principles of Gunnery: Containing the Determinations of the Force of Gun-powder and Investigations of the Difference in the Resisting Power of the Air to Swift and Slow Motions, London: J. Nourse, 1742.
R. Cross, Dynamics properties of tennis balls, Physics Department, Sport Engineering, 2, 1999, 23-33.
J. Cooke, An overview of tennis ball aerodynamics, Spоrt Engineering, 3(2), 2000, 123-129.
R. D. Mehta, J. M. Pallis, Sports ball aerodynamics: effects of velocity spin and surface roughness, Materials and Science in Sports, TMS, 2001, 185-197.
S. G. Chadwick, The aerodynamics properties of tennis balls, The University of Sheffield, Department of Mechanical Engineering, PhD dissertation, 2003, 331.
O. Gonzales, A. B. Graf, J. H. Maddocks, Dynamics of rigid body in a Stockes fluid, Jour. Fl. Mech., 519, 2004, 133-160.
C. Cohen, C. Clanet, Physics of Ball Sports, EPN 47/3, 2016, 13-16.
Li F., Liu L., Wang Q., Qin K., Hu Q., Yang Q., Liu Y., Zhang B., Tennis balls judgment model based on numerical simulation, National Convention on Sports Sc. of Cina, 01018, 2017, 1-3.
F. Alam, A. Subic, J. Naser, M. G. Rasul, M. M. K. Khan, A sydy of sin efects on tennis ball aerodynamics, WSEAS Transactions on Fluid Mechanics, 3(3), 2008, 271-278.
R. Cross, C. Londsey, Masurements of drag and lift on tennis balls in flight, Sports Engineering, 17(2), 2013, 89-96.
S. G. Chadwick, S. J. Haake, The drag coefficient of tennis balls, Engineering of Sport Conference, Sydney, June 2000, 169-176.
S. R. Goodwill, S. B. Chin, S. I. Haake, Aerodynamics of spinning and non-spinning tennis balls, Journ. Wind Eng. and Indust. Aerodyn., 92(11), 2004, 935-958.
R. Mehta, F. Alam, A. Subic, Review of tennis ball aerodynamics. Sports Technology, John Wiley and Sons Asia Pte Ltd, 1, 2008, 1-16.
T. Nakajima, M. Hiratsuka, S. Ito, A. Konno, Aerodynamics characteristics and PIV analyses concerning tennis balls, IOP Conf. Series: Materials Sciene and Eng., 249, 012021, 2017, 1-4.
I. Ivanov, Three-dimensional study of tennis ball flight, Journal Mechanics of Machines, Year XXII, Book 2, 2014, 34-37.



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Published
2021-05-31

How to Cite
Anastas I. Ivanov, “Three-dimensional motion of tennis ball”, Technical Journal of Daukeyev University, Vol. 1, Issue 1, 2021, pp. 57-68.

Issue
Volume 1, Issue 1 (2021)

Section
Article

Copyright © 2021 Anastas I. Ivanov

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Copyright © 2021 Anastas I. Ivanov
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