Application of Mathematical Methods in the Analysis of Martial Arts Movements: A Case Study of the 720-Degree Aerial Lotus Kick Combined with the Horse Stance

Abstract

This study investigates the application of mathematical methods in the analysis of the 720-degree aerial lotus kick combined with the horse stance, a complex technique in martial arts. Through kinematic and dynamic analyses, as well as numerical simulations, the biomechanical principles and optimization strategies for this movement are examined. The research findings highlight the critical roles of takeoff velocity, rotational velocity, and landing technique in the successful execution of the technique. The study also emphasizes the importance of progressive and systematic training programs, appropriate protective measures, and regular monitoring and assessment for safe and effective practice. The integration of applied mathematics in martial arts movement analysis is shown to provide valuable insights into technique optimization and injury prevention, offering a quantitative foundation for advanced training methodologies. However, the limitations of mathematical modeling, such as simplification and data quality, are acknowledged. Future research directions are proposed, including the extension of the mathematical framework to other complex techniques, the integration of advanced technologies, and the development of user-friendly software tools. The study concludes that the application of mathematical methods in martial arts biomechanics has the potential to drive innovation, inform evidence-based practice, and shape the future of martial arts research and training.