一种改进的大圆航线距离计算方法

An Improved Method for Calculating the Distance of Large Circle Routes

飞机从一个航路点飞向另一个航路点,需要计算两航路点之间距离。地球是一个两级稍扁赤道较长的复杂球体,为了提高大圆航线距离计算精度,建立椭圆坐标系,建立航路点经纬度平面坐标与椭球面坐标关系;利用椭球面模型计算航路起始、终止点当前所在位置实时地球半径。计算起始、终止点两点之间圆弧角度,计算完成之后与计算的起始、终止点位置当前的地球半径结合计算出当前情况下的大圆航线距离。算法推导完成之后,基于SCADE Suite进行了建模实现,并结合杰普逊航图在三种不同情况下采集三组数据进行测试仿真,并分别与传统两种方法进行了对比。对比结果表明:改进后的大圆航线距离计算方法相比传统方法适用面更广,特别是在高纬度远航程情况下能更贴近实际情况。并且,方法在精度、稳定性、通用性等得到进一步提高。

When an airplane flies from one route point to another,it needs to calculate the distance between the two route points.The Earth is a complex sphere with a slightly flat equator at two levels.To improve the accuracy of calculating the distance of round route.Firstly,the elliptic coordinate system is established,and the relationship between the plane coordinates of longitude and latitude of the route points and the ellipsoid,and the relationship between the plane coordinates of longitude and latitude of the route points and the ellipsoid coordinates is established.Secondly,the ellipsoid model is used to calculate the radius of the earth at the starting and ending points of the route.Finally,the arc angle between the starting and ending points is calculated.Modeling and implementation based on SCADE Suite after algorithm inversion is completed,at the same time,three sets of data are collected from Jepson chart under three conditions and tested and simulated.The results show that: The improved algorithm is more applicable than the traditional method,especially in the case of high latitude and long voyage,it is closer to the actual situation.Accuracy,stability and versatility are further improved.