我在typescript和ES6中实现了这个算法

export type Coordinate = {
  lat: number;
  lon: number;
};

求两点之间的距离:

function getDistanceBetweenTwoPoints(cord1: Coordinate, cord2: Coordinate) {
  if (cord1.lat == cord2.lat && cord1.lon == cord2.lon) {
    return 0;
  }

  const radlat1 = (Math.PI * cord1.lat) / 180;
  const radlat2 = (Math.PI * cord2.lat) / 180;

  const theta = cord1.lon - cord2.lon;
  const radtheta = (Math.PI * theta) / 180;

  let dist =
    Math.sin(radlat1) * Math.sin(radlat2) +
    Math.cos(radlat1) * Math.cos(radlat2) * Math.cos(radtheta);

  if (dist > 1) {
    dist = 1;
  }

  dist = Math.acos(dist);
  dist = (dist * 180) / Math.PI;
  dist = dist * 60 * 1.1515;
  dist = dist * 1.609344; //convert miles to km
  
  return dist;
}

获取坐标数组之间的距离

export function getTotalDistance(coordinates: Coordinate[]) {
  coordinates = coordinates.filter((cord) => {
    if (cord.lat && cord.lon) {
      return true;
    }
  });
  
  let totalDistance = 0;

  if (!coordinates) {
    return 0;
  }

  if (coordinates.length < 2) {
    return 0;
  }

  for (let i = 0; i < coordinates.length - 2; i++) {
    if (
      !coordinates[i].lon ||
      !coordinates[i].lat ||
      !coordinates[i + 1].lon ||
      !coordinates[i + 1].lat
    ) {
      totalDistance = totalDistance;
    }
    totalDistance =
      totalDistance +
      getDistanceBetweenTwoPoints(coordinates[i], coordinates[i + 1]);
  }

  return totalDistance.toFixed(2);
}

大圆距离-从弦长开始

这里有一个应用策略设计模式的优雅解决方案;我希望它有足够的可读性。

TwoPointsDistanceCalculatorStrategy.js:

module.exports = () =>

class TwoPointsDistanceCalculatorStrategy {

    constructor() {}

    calculateDistance({ point1Coordinates, point2Coordinates }) {}
};

GreatCircleTwoPointsDistanceCalculatorStrategy.js:

module.exports = ({ TwoPointsDistanceCalculatorStrategy }) =>

class GreatCircleTwoPointsDistanceCalculatorStrategy extends TwoPointsDistanceCalculatorStrategy {

    constructor() {
        super();
    }

    /**
     * Following the algorithm documented here: 
     * https://en.wikipedia.org/wiki/Great-circle_distance#Computational_formulas
     * 
     * @param {object} inputs
     * @param {array} inputs.point1Coordinates
     * @param {array} inputs.point2Coordinates
     * 
     * @returns {decimal} distance in kelometers
     */
    calculateDistance({ point1Coordinates, point2Coordinates }) {

        const convertDegreesToRadians = require('../convert-degrees-to-radians');
        const EARTH_RADIUS = 6371;   // in kelometers

        const [lat1 = 0, lon1 = 0] = point1Coordinates;
        const [lat2 = 0, lon2 = 0] = point2Coordinates;

        const radianLat1 = convertDegreesToRadians({ degrees: lat1 });
        const radianLon1 = convertDegreesToRadians({ degrees: lon1 });
        const radianLat2 = convertDegreesToRadians({ degrees: lat2 });
        const radianLon2 = convertDegreesToRadians({ degrees: lon2 });

        const centralAngle = _computeCentralAngle({ 
            lat1: radianLat1, lon1: radianLon1, 
            lat2: radianLat2, lon2: radianLon2, 
        });

        const distance = EARTH_RADIUS * centralAngle;

        return distance;
    }
};


/**
 * 
 * @param {object} inputs
 * @param {decimal} inputs.lat1
 * @param {decimal} inputs.lon1
 * @param {decimal} inputs.lat2
 * @param {decimal} inputs.lon2
 * 
 * @returns {decimal} centralAngle
 */
function _computeCentralAngle({ lat1, lon1, lat2, lon2 }) {

    const chordLength = _computeChordLength({ lat1, lon1, lat2, lon2 });
    const centralAngle = 2 * Math.asin(chordLength / 2);

    return centralAngle;
}


/**
 * 
 * @param {object} inputs
 * @param {decimal} inputs.lat1
 * @param {decimal} inputs.lon1
 * @param {decimal} inputs.lat2
 * @param {decimal} inputs.lon2
 * 
 * @returns {decimal} chordLength
 */
function _computeChordLength({ lat1, lon1, lat2, lon2 }) {

    const { sin, cos, pow, sqrt } = Math;

    const ΔX = cos(lat2) * cos(lon2) - cos(lat1) * cos(lon1);
    const ΔY = cos(lat2) * sin(lon2) - cos(lat1) * sin(lon1);
    const ΔZ = sin(lat2) - sin(lat1);

    const ΔXSquare = pow(ΔX, 2);
    const ΔYSquare = pow(ΔY, 2);
    const ΔZSquare = pow(ΔZ, 2);

    const chordLength = sqrt(ΔXSquare + ΔYSquare + ΔZSquare);

    return chordLength;
}

convert-degrees-to-radians.js:

module.exports = function convertDegreesToRadians({ degrees }) {

    return degrees * Math.PI / 180;
};

这是大圆距离-从弦长开始，这里有记录。

Derek的解决方案对我来说很好，我只是简单地将其转换为PHP，希望它能帮助到一些人!

function calcCrow($lat1, $lon1, $lat2, $lon2){
        $R = 6371; // km
        $dLat = toRad($lat2-$lat1);
        $dLon = toRad($lon2-$lon1);
        $lat1 = toRad($lat1);
        $lat2 = toRad($lat2);

        $a = sin($dLat/2) * sin($dLat/2) +sin($dLon/2) * sin($dLon/2) * cos($lat1) * cos($lat2); 
        $c = 2 * atan2(sqrt($a), sqrt(1-$a)); 
        $d = $R * $c;
        return $d;
}

// Converts numeric degrees to radians
function toRad($Value) 
{
    return $Value * pi() / 180;
}

你使用的是哈弗辛公式，它计算了当乌鸦飞行时球面上两点之间的距离。您提供的谷歌Maps链接显示距离为2.2公里，因为它不是一条直线。

Wolfram Alpha是进行地理计算的一个很好的资源，它还显示了这两点之间的距离为1.652公里。

如果您正在寻找直线距离(如crow文件)，则您的函数工作正常。如果你想要的是开车距离(或骑自行车距离、公共交通距离或步行距离)，你必须使用一个映射API(谷歌或Bing是最流行的)来获得适当的路线，其中将包括距离。

顺便提一下，谷歌Maps API在其Google . Maps .geometry.spherical命名空间(查找computeDistanceBetween)中提供了一个打包的球面距离方法。这可能比你自己卷更好(首先，它使用了更精确的地球半径值)。

对于挑剔的我们来说，我说的“直线距离”，指的是“球面上的直线”，实际上当然是一条曲线(即大圆距离)。

你也可以使用一个模块:

安装:

$ npm install geolib

用法:

import { getDistance } from 'geolib'

const distance = getDistance(
    { latitude: 51.5103, longitude: 7.49347 },
    { latitude: "51° 31' N", longitude: "7° 28' E" }
)

console.log(distance)

文档:https://www.npmjs.com/package/geolib

如前所述，函数是计算到目标点的直线距离。如果你想要行车距离/路线，你可以使用谷歌地图距离矩阵服务:

getDrivingDistanceBetweenTwoLatLong(origin, destination) {

 return new Observable(subscriber => {
  let service = new google.maps.DistanceMatrixService();
  service.getDistanceMatrix(
    {
      origins: [new google.maps.LatLng(origin.lat, origin.long)],
      destinations: [new google.maps.LatLng(destination.lat, destination.long)],
      travelMode: 'DRIVING'
    }, (response, status) => {
      if (status !== google.maps.DistanceMatrixStatus.OK) {
        console.log('Error:', status);
        subscriber.error({error: status, status: status});
      } else {
        console.log(response);
        try {
          let valueInMeters = response.rows[0].elements[0].distance.value;
          let valueInKms = valueInMeters / 1000;
          subscriber.next(valueInKms);
          subscriber.complete();
        }
       catch(error) {
        subscriber.error({error: error, status: status});
       }
      }
    });
});
}