分享地球上的常用计算公式

Haversine

formula:

a = sin²(Δφ/2) + cos φ1 ⋅ cos φ2 ⋅ sin²(Δλ/2)

c = 2 ⋅ atan2( √a, √(1−a)

d = R ⋅ c

where

​φ is latitude, λ is longitude, R is earth’s radius (mean radius = 6,371km);
note that angles need to be in radians to pass to trig functions!

JavaScript:

var R = 6371e3; // metresvar φ1 = lat1.toRadians();var φ2 = lat2.toRadians();var Δφ = (lat2-lat1).toRadians();var Δλ = (lon2-lon1).toRadians();var a = Math.sin(Δφ/2) * Math.sin(Δφ/2) + Math.cos(φ1) * Math.cos(φ2) * Math.sin(Δλ/2) * Math.sin(Δλ/2);var c = 2 * Math.atan2(Math.sqrt(a), Math.sqrt(1-a));var d = R * c;