The haversine
formula is an equation
important in navigation,
giving great-circle
distances between two
points on a sphere from their longitudes and latitudes. It is a special case
of a more general formula in spherical
trigonometry, the law of
haversines, relating the sides and angles of spherical triangle
The haversine formula is used to calculate the distance
between two points on the Earth’s surface specified in longitude
and latitude. It is a special case of a more general formula in
spherical trigonometry, the law of haversines, relating the sides and angles of
spherical "triangles".
d is the distance between two
points with longitude and latitude (ψ,φ) and r is the radius of
the Earth.
public class HaversineDistance {
public static double haversineDistance(double lat1,double lat2,double lon1,double lon2) {
double deltaLat = Math.toRadians(lat1
- lat2);
double deltaLong = Math.toRadians(lon1
- lon2);
double lat1R = Math.toRadians(lat1);
double lat2R = Math.toRadians(lat2);
double a = (Math.sin(deltaLat/2.0) *
Math.sin(deltaLat/2.0)) +
(Math.sin(deltaLong/2.0) * Math.sin(deltaLong/2.0)
*
Math.cos(lat1R) * Math.cos(lat2R));
double c = 2.0*Math.atan2(Math.sqrt(a),
Math.sqrt(1.0 - a));
double d = 3959.0*c;
return d;
}
public static void main(String[] args)
{
System.out.println(haversineDistance(21.7679,40.4230,78.8718,98.7372));
}
}
