Statistical Analysis of Table-Tennis Ball Trajectories

Schneider, R.; Lewerentz, Lars; Lüskow, Karl Felix; Marschall, Marc; Kemnitz, Stefan

doi:10.3390/app8122595

Cited by 13 publications

(10 citation statements)

References 14 publications

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“…These results are supported by advanced statistical analysis using the Python packages pandas [40] and scikit-learn [41] of the 21-dimensional data base [42]. A principal component, multi-dimensional histograms, and a cluster analysis confirmed the previous findings and identified the pronounced sidespin component for the cases with higher nets.…”

Section: Analysis Of Concepts For Slowing-down the Gamesupporting

confidence: 73%

Table Tennis and Physics

Schneider¹,

Lewerentz²,

Kemnitz³

et al. 2022

Aerodynamics of Sports [Working Title]

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Table tennis is a fascinating sport with a lot of physics elements. This chapter will concentrate on the forces acting on a table tennis ball. Insights from molecular dynamics simulations clarify the basic properties of table tennis balls interacting with surfaces and their high coefficient of restitution. The table tennis ball trajectory is discussed considering the different force balance contributions. The sum of the gravitational force and the forces from aerodynamics, namely drag and lift, determine the flight path. Extensive numerical modeling is used to study the impact of changes in ball size and net height to the game characteristics. Half a billion different initial conditions like hitting location, initial spin and velocities were analyzed to reach sufficient statistical significance for the different cases. An advanced statistical analysis of the database generated by the simulation is presented.

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Section: Analysis Of Concepts For Slowing-down the Gamesupporting

confidence: 73%

Table Tennis and Physics

Schneider¹,

Lewerentz²,

Kemnitz³

et al. 2022

Aerodynamics of Sports [Working Title]

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“…The modern 40mm ball is 2mm larger and 0.2 grams heavier than its predecessor, the 38mm ball. Due to its increased cross-sectional area, it encounters greater air resistance [ 21 ]. In comparison to the 38mm ball, the larger ball’s mass is distributed farther from its center, leading to a larger inertial moment and a decrease in rotation.…”

Section: Discussionmentioning

confidence: 99%

Effect of table tennis balls with different materials and structures on the hardness and elasticity

Lu,

Ren,

Wang

et al. 2024

PLoS ONE

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The new material introduced by the ITTF in 2014 for table tennis balls has attracted significant attention from players and coaches. Changes in both material selection and production procedures are likely to have affected the static performance of the ball. However, the raw data regarding the elasticity and hardness of these new material balls, encompassing various brands and structures, often lacks practical information crucial for players’ rapid adaptation and daily training. The static properties tested in this study were provided by the ITTF, covering both hardness and elasticity. Based on computed variables, this study revealed that the hardness of seam balls at the equator was not consistently higher than that at the pole. Additionally, the study confirmed that the hardness and bounce height of new material balls exceeded those of celluloid. Furthermore, correlation analysis was conducted to examine the relationship between these two properties, revealing a significant correlation between the hardness of seamless balls and their elasticity. This study provides an analysis of the static performance of various types of new material balls, aiding players and coaches in better understanding official event balls and offering a theoretical foundation for the formulation of diverse training and game strategies.

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“…Apart from works based on computer vision, Ralf Schneider et al [8] have conducted a statistical analysis on a database of table tennis ball trajectories and have discussed the effects of ball size, weight, spin, and speed on the trajectory.…”

Section: Related Workmentioning

confidence: 99%