一种高纬度区域船舶偏航距离的高精度求解算法

A high accuracy algorithm for cross track distance of ships at high latitudes

为提高船舶偏航距离的求解精度,设计一种迭代求解的方法,并与基于墨卡托投影的欧氏距离算法(算法1)和基于墨卡托投影的直接求解算法(算法2)进行比较,发现上述两种算法都存在误差。为此,提出一种基于正轴等距方位投影的直接求解算法(算法3)。验证结果表明:船舶在高纬度区域航行时,算法3比算法1和2对偏航距离的求解精度更高、速度更快。算法可应用于船舶运动控制、进出港操纵、航道规划和航线设计。

In order to improve the solution accuracy of the cross track distance of ships,an iterative method is designed and compared with the Euclidean distance algorithm based on Mercator projection(algorithm1)and the non-iterative solution algorithm based on Mercator projection(algorithm2).It is found that there are errors in both algorithms.Therefore,a non-iterative algorithm based on the azimuthal polar equidistant projection(algorithm3)is proposed.Results shows that when ships are sailing at high latitudes,the cross track distance solution accuracy of algorithm3is higher and the solving speed of algorithm3is faster than those of algorithms1and2.Algorithm3can be applied to ship motion control,ship entering and leaving port maneuvering,waterway planning and route design.