关键词: 马格努斯效应, 弧线球, 蒙特卡罗算法, MATLAB 模拟

Abstract: The influence of Magnus effect on football trajectory and goal probability is studied.Firstly，the dynamical equation of the mass-center of football is established by analyzing the force exerted on it，and through the simulation by MATLAB，its motion characteristics are presented，namely，its trajectory is not coplanar either symmetric compared with the ideal parabolic ones.Then，by using Monte Carlo simulation，the initial velocity distribution for scoring the goal is also obtained.Furthermore，we get the goal probability distribution and the difference distribution between the two cases whether there is Magnus effect in the region considered，it is found that the relative magnitude of the goal probability of these two cases presents the alternate radiation bands which centered on the goal.

Key words: Magnus effect, curve ball, Monte Carlo algorithm, MATLAB