<p>This study aims to predict the trajectory a cricket ball follows once released from the bowler’s hand. This requires an understanding of the various aerodynamic forces in operation while the ball is in flight and the behavior of the pitch that manipulates the trajectory on impact. We have developed a full trajectory mechanistic model for a spherical sports ball accounting for both three-dimensional flight and bounce, which does not seem to exist in the open literature. We consider instances where the ball is spun about the principal axes, and in each instance, we detail how the trajectory is affected by varying the imparted spin magnitude. The nature of the cricket pitch plays a vital role in determining the trajectory after the bounce; hence, we also elaborate on the effect the pitch parameters have on the ball’s course until it reaches the wickets behind the batter. Finally, we combined this knowledge to understand the effects of dip, drift, and deviation for a realistic three-dimensional spin vector. Our findings indicate that spinners can achieve maximum impact by using offspin or leg spin on spin-friendly pitches like those found in the Indian subcontinent, whereas a combination of topspin and sidespin can be more effective on pitches elsewhere. We hope the insights derived from this study will be of interest to the casual cricket viewers and players alike.</p>

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Numerical simulations of a cricket ball trajectory

  • Pasunuru Sai Vineeth,
  • Mahesh V. Panchagnula

摘要

This study aims to predict the trajectory a cricket ball follows once released from the bowler’s hand. This requires an understanding of the various aerodynamic forces in operation while the ball is in flight and the behavior of the pitch that manipulates the trajectory on impact. We have developed a full trajectory mechanistic model for a spherical sports ball accounting for both three-dimensional flight and bounce, which does not seem to exist in the open literature. We consider instances where the ball is spun about the principal axes, and in each instance, we detail how the trajectory is affected by varying the imparted spin magnitude. The nature of the cricket pitch plays a vital role in determining the trajectory after the bounce; hence, we also elaborate on the effect the pitch parameters have on the ball’s course until it reaches the wickets behind the batter. Finally, we combined this knowledge to understand the effects of dip, drift, and deviation for a realistic three-dimensional spin vector. Our findings indicate that spinners can achieve maximum impact by using offspin or leg spin on spin-friendly pitches like those found in the Indian subcontinent, whereas a combination of topspin and sidespin can be more effective on pitches elsewhere. We hope the insights derived from this study will be of interest to the casual cricket viewers and players alike.