帆船航行最佳路径选取

Select the Best Path Sailing

通过对帆船在海面上航行的受力情况及运动情况简要的分析,在风向保持不变,风速以及浪高满足函数变化时,建立在一定区域内如何逆风航行使得航行时间最少的目标函数,借助拉格朗日函数和欧拉方程,数值求解出最佳航行路线,对帆船运动员在实际操练中有一定指导意义.

This article analyzes forces on the sailboard and movement status on the surface of the ocean, as in the unchanged wind direction, wind speed and wave height meeting the function how to wind the boat makes the minimum time on the course. With the help of the Lagrangian function and Euler equation, numeral solutes the best sailing routes. There are some significance for the sailors in the actual practice of the sailing.