如何计算一个点与另一个点相距一定距离的纬度?

如何计算一个点与另一个点相距一定距离的纬度?,第1张

如何计算一个点与另一个点相距一定距离纬度

我们将需要一种方法,该方法会在给定方位角和距源点的距离时返回目标点。幸运的是,克里斯·韦尼斯(ChrisVeness)在“计算距离,纬度点之间的距离,方位及更多”方面有一个很好的Javascript实现。

以下内容已适应与

google.maps.LatLng
该类一起使用:

Number.prototype.toRad = function() {   return this * Math.PI / 180;}Number.prototype.toDeg = function() {   return this * 180 / Math.PI;}google.maps.LatLng.prototype.destinationPoint = function(brng, dist) {   dist = dist / 6371;     brng = brng.toRad();   var lat1 = this.lat().toRad(), lon1 = this.lng().toRad();   var lat2 = Math.asin(Math.sin(lat1) * Math.cos(dist) +   Math.cos(lat1) * Math.sin(dist) * Math.cos(brng));   var lon2 = lon1 + Math.atan2(Math.sin(brng) * Math.sin(dist) *          Math.cos(lat1),Math.cos(dist) - Math.sin(lat1) *          Math.sin(lat2));   if (isNaN(lat2) || isNaN(lon2)) return null;   return new google.maps.LatLng(lat2.toDeg(), lon2.toDeg());}

您只需按以下方式使用它:

var pointA = new google.maps.LatLng(25.48, -71.26); var radiusInKm = 10;var pointB = pointA.destinationPoint(90, radiusInKm);

这是使用Google Maps APIv3的完整示例:

<!DOCTYPE html><html> <head>    <meta http-equiv="content-type" content="text/html; charset=UTF-8"/>    <title>Google Maps Geometry</title>    <script src="http://maps.google.com/maps/api/js?sensor=false" type="text/javascript"></script> </head> <body>    <div id="map" ></div>   <script type="text/javascript">       Number.prototype.toRad = function() {         return this * Math.PI / 180;      }      Number.prototype.toDeg = function() {         return this * 180 / Math.PI;      }      google.maps.LatLng.prototype.destinationPoint = function(brng, dist) {         dist = dist / 6371;brng = brng.toRad();         var lat1 = this.lat().toRad(), lon1 = this.lng().toRad();         var lat2 = Math.asin(Math.sin(lat1) * Math.cos(dist) +         Math.cos(lat1) * Math.sin(dist) * Math.cos(brng));         var lon2 = lon1 + Math.atan2(Math.sin(brng) * Math.sin(dist) *     Math.cos(lat1),      Math.cos(dist) - Math.sin(lat1) *     Math.sin(lat2));         if (isNaN(lat2) || isNaN(lon2)) return null;         return new google.maps.LatLng(lat2.toDeg(), lon2.toDeg());      }      var pointA = new google.maps.LatLng(40.70, -74.00);   // Circle center      var radius = 10;     // 10km      var mapOpt = {          mapTypeId: google.maps.MapTypeId.TERRAIN,         center: pointA,         zoom: 10      };      var map = new google.maps.Map(document.getElementById("map"), mapOpt);      // Draw the circle      new google.maps.Circle({         center: pointA,         radius: radius * 1000,       // Convert to meters         fillColor: '#FF0000',         fillOpacity: 0.2,         map: map      });      // Show marker at circle center      new google.maps.Marker({         position: pointA,         map: map      });      // Show marker at destination point      new google.maps.Marker({         position: pointA.destinationPoint(90, radius),         map: map      });   </script> </body> </html>

更新:

pointA
在北极附近绘制,半径为1,000km:

  var pointA = new google.maps.LatLng(85, 0);   // Close to north pole  var radius = 1000;      // 1000km


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