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The Special Quality Evaluation of the Triple Jump and the Differential Equation Model of Long Jump Mechanics Based on Gray Correlation Analysis

Bing Zhang, Yan Feng

Abstract


In order to improve the performance of the triple jumpers, this study first carried through measurement, calculation and research on the trajectory equation of long jumper’s body centroid, derived calculation formula of jump long distances, and confirmed the optimal takeoff angle and the optimal flight angle through the establishment of the mathematical model of dynamic differential equations. Then through the solving of gray correlation degree mathematical model, it studied the data of eight talented athletes’ performance and training indicators. Obtain that M5-medium-range triple jump, M4-two feet long jump and M10-run-up five jump three training indicators are the main factors affecting the performance of athletes. Then by solving mathematical model of gray related degree, eight talented athletes and training indicators data obtained medium-range triple jump, five jump three feet long jump and the run-up training indicators the main factors affecting the performance of athletes. The study provides a theoretical basis for the triple jump coaches and athletes training.

Keywords


Grey Correlation Degree, Triple Jump, Differential Equations, Mechanical Model.

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