此代码计算大圆距离。原始来源在这里:http ://www.movable-type.co.uk/scripts/latlong-vincenty.html
我确定它缺少一些简单的东西,但是 javascript 不会执行。
<script type="text/javascript">
function distVincenty(lat1, lon1, lat2, lon2) {
var a = 6378137,
b = 6356752.314245,
f = 1 / 298.257223563; // WGS-84 ellipsoid params
var L = toRad(long2 -lon1);
function toRad(degrees){
return degrees * Math.PI / 180;
}
var U1 = Math.atan((1 - f) * Math.tan(lat1.toRad()));
var U2 = Math.atan((1 - f) * Math.tan(lat2.toRad()));
var sinU1 = Math.sin(U1),
cosU1 = Math.cos(U1);
var sinU2 = Math.sin(U2),
cosU2 = Math.cos(U2);
var lambda = L,
lambdaP, iterLimit = 100;
do {
var sinLambda = Math.sin(lambda),
cosLambda = Math.cos(lambda);
var sinSigma = Math.sqrt((cosU2 * sinLambda) * (cosU2 * sinLambda) + (cosU1 * sinU2 - sinU1 * cosU2 * cosLambda) * (cosU1 * sinU2 - sinU1 * cosU2 * cosLambda));
if (sinSigma == 0) return 0; // co-incident points
var cosSigma = sinU1 * sinU2 + cosU1 * cosU2 * cosLambda;
var sigma = Math.atan2(sinSigma, cosSigma);
var sinAlpha = cosU1 * cosU2 * sinLambda / sinSigma;
var cosSqAlpha = 1 - sinAlpha * sinAlpha;
var cos2SigmaM = cosSigma - 2 * sinU1 * sinU2 / cosSqAlpha;
if (isNaN(cos2SigmaM)) cos2SigmaM = 0; // equatorial line: cosSqAlpha=0 (§6)
var C = f / 16 * cosSqAlpha * (4 + f * (4 - 3 * cosSqAlpha));
lambdaP = lambda;
lambda = L + (1 - C) * f * sinAlpha * (sigma + C * sinSigma * (cos2SigmaM + C * cosSigma * (-1 + 2 * cos2SigmaM * cos2SigmaM)));
} while (Math.abs(lambda - lambdaP) > 1e-12 && --iterLimit > 0);
if (iterLimit == 0) return NaN // formula failed to converge
var uSq = cosSqAlpha * (a * a - b * b) / (b * b);
var A = 1 + uSq / 16384 * (4096 + uSq * (-768 + uSq * (320 - 175 * uSq)));
var B = uSq / 1024 * (256 + uSq * (-128 + uSq * (74 - 47 * uSq)));
var deltaSigma = B * sinSigma * (cos2SigmaM + B / 4 * (cosSigma * (-1 + 2 * cos2SigmaM * cos2SigmaM) - B / 6 * cos2SigmaM * (-3 + 4 * sinSigma * sinSigma) * (-3 + 4 * cos2SigmaM * cos2SigmaM)));
var s = b * A * (sigma - deltaSigma);
s = s.toFixed(3); // round to 1mm precision
return s;
// note: to return initial/final bearings in addition to distance, use something like:
var fwdAz = Math.atan2(cosU2 * sinLambda, cosU1 * sinU2 - sinU1 * cosU2 * cosLambda);
var revAz = Math.atan2(cosU1 * sinLambda, -sinU1 * cosU2 + cosU1 * sinU2 * cosLambda);
return {
distance: s,
initialBearing: fwdAz.toDeg(),
finalBearing: revAz.toDeg()
};
}
</script>
<table>
<tr>
<td>
<p>
Lat 1: <input name="lat1" value="53.0902">
Long 1: <input name="lon1" value="001.5040">
</p>
<p>
Lat 2: <input name="lat2" value="52.1219">
Long 2: <input name="lon2" value="040.0833">
</p>
<input type="button" value="calculate distance" onClick="document.getElementsByName('result')[0].value = distVincenty( document.getElementsByName('lat1')[0].value ,document.getElementsByName('lon1')[0].value , document.getElementsByName('lat2')[0].value, document.getElementsByName('lon2')[0].value);">
</td>
</tr>
</table>
</body>