Created
April 6, 2021 19:03
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Haversine - Straight Line Distance Between Two Sets of Geographical Coordinates (Latitude, Longitude)
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// see the Haversine formula description here | |
// https://community.esri.com/t5/coordinate-reference-systems/distance-on-a-sphere-the-haversine-formula/ba-p/902128 | |
function haversine(coord1, coord2){ | |
// radius of earth in meters | |
const R = 6371000; | |
// convert latitude degrees to radians | |
const phi_1 = Math.radians(coord1.latitude); | |
const phi_2 = Math.radians(coord2.latitude); | |
// delta being the "difference" between the latitudes and longitudes of each coordinate set expressed | |
// in radians | |
const delta_phi = Math.radians(coord2.latitude - coord1.latitude); | |
const delta_lambda = Math.radians(coord2.longitude - coord1.longitude); | |
// sin²(φB - φA/2) + cos φA * cos φB * sin²(λB - λA/2) | |
const a = Math.sin(delta_phi/2.0)**2 + Math.cos(phi_1) * Math.cos(phi_2) * Math.sin(delta_lambda/2.0)**2; | |
// 2 * atan2( √a, √(1−a) ) | |
const c = 2 * Math.atan2(Math.sqrt(a), Math.sqrt(1 - a)); | |
const meters = R * c; | |
const kilometers = meters / 1000.0; | |
const miles = kilometers / 1.609344; | |
return { meters, kilometers, miles}; | |
} |
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