Position coordinate representation of flying arrow and analysis of its performance indicator

In the arrow manufacturing business, the distribution of impact points on a target after a repetitive shooting test is an important element in assessing arrow performance. The impact points of the arrows shown on shooting paper serve as crucial indicators when determining arrow performance. However, shooting paper lacks accuracy and requires regular replacement, and the digitization of the relationship among the impact points is a difficult task. Advanced research studies currently focus on the external factors of arrow performance and arrows in-flight vibration, but such studies have neglected to investigate the distribution of impact points because of insufficient methods of assessing arrow performance and intuitive numerical data. In this paper, we propose a system that can convert the position of a flying arrow into coordinates and an algorithm that expresses the arrow position coordinates. The precision of arrow position coordinate measurement system is improved from an initial error of 2.46 mm to 0.452 mm after the correction. In addition, we suggest an indicator for the objective assessment of arrow performance using the coordinates from the arrow position coordinate measuring system. By analyzing the arrow performance of multiple arrows and arrow types, it is possible to select the optimal arrow and arrow model for a designated bow installed on the launcher.