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    1. 两个坐标之间的地理中点

      时间:2023-09-17

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                本文介绍了两个坐标之间的地理中点的处理方法,对大家解决问题具有一定的参考价值,需要的朋友们下面随着跟版网的小编来一起学习吧!

                问题描述

                我一直在使用 Moveable-Type 网站来帮助我进行一些地理坐标计算,它非常有用,但是,我在计算两个坐标之间的中点时遇到了错误.我的结果接近预期,但还不够接近:

                I have been using the Moveable-Type website to aid me in some Geocoordinate calcuations and it's been very useful, however, I have a bug in my calculation of the mid-point between two coordinates. My result is close to the expected, but not close enough:

                posA = {47.64570362, -122.14073746}
                posB = {47.64316917, -122.14032175}
                

                预期结果(取自活字计算器)= 47°38′40″N, 122°08′26″W = {47.644444, -122.140556} 我的结果:{49.6054801645915, -122.14052959995759}

                expected result (taken from the movable type calculator) = 47°38′40″N, 122°08′26″W = {47.644444, -122.140556} my result: {49.6054801645915, -122.14052959995759}

                这是我的代码:

                private Geocoordinate MidPoint(Geocoordinate posA, Geocoordinate posB)
                {
                   Geocoordinate midPoint = new Geocoordinate();
                
                   double dLon = DegreesToRadians(posB.Longitude - posA.Longitude);
                   double Bx = Math.Cos(DegreesToRadians(posB.Latitude)) * Math.Cos(dLon);
                   double By = Math.Cos(DegreesToRadians(posB.Latitude)) * Math.Sin(dLon);
                
                   midPoint.Latitude = RadiansToDegrees(Math.Atan2(Math.Sin(DegreesToRadians(posA.Latitude)) + Math.Sin(DegreesToRadians(posB.Latitude)), 
                                Math.Sqrt((Math.Cos(DegreesToRadians(posA.Latitude)) + Bx) * (Math.Cos(DegreesToRadians(posA.Latitude))) + Bx) + By * By));
                
                   midPoint.Longitude = posA.Longitude + RadiansToDegrees(Math.Atan2(By, Math.Cos(DegreesToRadians(posA.Latitude)) + Bx));
                
                   return midPoint;
                }
                

                我有几个私有方法可以在度数和弧度之间进行转换并返回.例如

                I've got a couple of private methods to do the conversion between Degrees and Radians and back. E.g.

                private double DegreeToRadian(double angle)
                {
                   return Math.PI * angle / 180.0;
                }
                

                我无法弄清楚为什么我的结果与 Lat 值相差几度.有什么想法吗?

                I can't work out why my results are off by a couple of degrees on the Lat value. Any ideas?

                谢谢

                推荐答案

                你把括号放错了.我在代码中标记了这个地方.

                You placed some parentheses wrong. I marked the place in the code.

                private Geocoordinate MidPoint(Geocoordinate posA, Geocoordinate posB)
                {
                   Geocoordinate midPoint = new Geocoordinate();
                
                   double dLon = DegreesToRadians(posB.Longitude - posA.Longitude);
                   double Bx = Math.Cos(DegreesToRadians(posB.Latitude)) * Math.Cos(dLon);
                   double By = Math.Cos(DegreesToRadians(posB.Latitude)) * Math.Sin(dLon);
                
                   midPoint.Latitude = RadiansToDegrees(Math.Atan2(
                                Math.Sin(DegreesToRadians(posA.Latitude)) + Math.Sin(DegreesToRadians(posB.Latitude)),
                                Math.Sqrt(
                                    (Math.Cos(DegreesToRadians(posA.Latitude)) + Bx) *
                                    (Math.Cos(DegreesToRadians(posA.Latitude)) + Bx) + By * By))); 
                                 // (Math.Cos(DegreesToRadians(posA.Latitude))) + Bx) + By * By)); // Your Code
                
                   midPoint.Longitude = posA.Longitude + RadiansToDegrees(Math.Atan2(By, Math.Cos(DegreesToRadians(posA.Latitude)) + Bx));
                
                   return midPoint;
                }
                

                这篇关于两个坐标之间的地理中点的文章就介绍到这了,希望我们推荐的答案对大家有所帮助,也希望大家多多支持跟版网!

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