Resumen de Study on the training model of football movement trajectory drop point based on fractional differential equation
YuFeng Chen, Mohammed Yousef
To study the landing point of the curved football track, the dynamic differential equations of the football were derived inthis paper. The air resistance moment was taken into account, and the rotation axis was no longer confined to the verticaldirection. We compare various soccer movement regularity of different initial angular velocity 0, in turn, using standardnumerical methods to solve differential equations, the selection of the initial angular velocity of three typical 0s has beencarried on the detailed numerical study, and the results show that: in the same velocity V play football, correspondingto different initial angular velocity 0, the movement of football is an obvious difference. Conclusion: For the same V =5+28+11 m/s, when no rotationΩ0 = 0, the trajectory of the football is the usual trajectory of the projectile. When 0 =2−2+16 rad/s, the trajectory of the football is a typical banana ball trajectory; When 0 = 13+0+0 rad/s, the trajectory ofthe football shows the phenomenon of left-right fluttering, similar to the fallen leaf ball.
