Mathematical Optimisation Model for the Defensive Break-Off in Snooker
-- Trajectory, Spin, and Obstruction Geometry

Jiehao Yang

doi:10.70711/memf.v3i7.9482

Mathematical Optimisation Model for the Defensive Break-Off in Snooker -- Trajectory, Spin, and Obstruction Geometry

Jiehao Yang

Abstract

This study establishes a mathematical model of the snooker defensive break-off using rigid-body mechanics and collision theory,
optimizing cue-ball placement, strike direction, speed, contact point, and spin to maximize the opponent's difficulty by minimizing their unobstructed aiming channel.

Keywords

Snooker Defensive Break-Off; Mathematical Optimisation; Trajectory & Spin Geometry

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References

[1] World Professional Billiards and Snooker Association. *Official Rules of the Games of Snooker and English Billiards*. WPBSA, 2022.

https://wpbsa.com/wp-content/uploads/Rulebook-Website-Updated-May-2022-2.pdf

[2] Evan Kiefl. The physics of pool/billiards. 2020. https://ekiefl.github.io/2020/04/24/pooltool-theory/

[3] S. Mathavan, M. R. Jackson, and R. M. Sherratt. A theoretical analysis of billiard ball dynamics under cushion impacts. *Proceedings of

the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science*, 224(9):18631873, 2010.

DOI: http://dx.doi.org/10.70711/memf.v3i7.9482

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