需要帮助计算地理距离

时间:2012-01-13 23:53:57

标签: python latitude-longitude great-circle

我正在设置一个小程序,从用户那里获取2个地理坐标,然后计算它们之间的距离(考虑到地球的曲率)。所以我查看维基百科的公式是here

我基本上是基于它设置了我的python函数,这就是我想出来的:

def geocalc(start_lat, start_long, end_lat, end_long):
    start_lat = math.radians(start_lat)
    start_long = math.radians(start_long)
    end_lat = math.radians(end_long)
    end_long = math.radians(end_long)

    d_lat = start_lat - end_lat
    d_long = start_long - end_long

    EARTH_R = 6372.8

    c = math.atan((math.sqrt( (math.cos(end_lat)*d_long)**2 +( (math.cos(start_lat)*math.sin(end_lat)) - (math.sin(start_lat)*math.cos(end_lat)*math.cos(d_long)))**2)) / ((math.sin(start_lat)*math.sin(end_lat)) + (math.cos(start_lat)*math.cos(end_lat)*math.cos(d_long))) )

    return EARTH_R*c

问题是结果真的不准确。我是python的新手,所以一些帮助或建议将不胜感激!

4 个答案:

答案 0 :(得分:11)

你有4或5或6个问题:

(1)end_lat = math.radians(end_long)应为end_lat = math.radians(end_lat)

(2)你错过了一些人已经提到过的东西,很可能是因为

(3)你的代码难以辨认(行太长,多余的括号,17个无数的“数学”实例。)

(4)您没有注意到维基百科关于使用atan2()

的文章中的注释

(5)输入坐标时可能已经交换了lat和lon

(6)delta(latitude)被不必要地计算;它没有出现在公式中

全部放在一起:

from math import radians, sqrt, sin, cos, atan2

def geocalc(lat1, lon1, lat2, lon2):
    lat1 = radians(lat1)
    lon1 = radians(lon1)
    lat2 = radians(lat2)
    lon2 = radians(lon2)

    dlon = lon1 - lon2

    EARTH_R = 6372.8

    y = sqrt(
        (cos(lat2) * sin(dlon)) ** 2
        + (cos(lat1) * sin(lat2) - sin(lat1) * cos(lat2) * cos(dlon)) ** 2
        )
    x = sin(lat1) * sin(lat2) + cos(lat1) * cos(lat2) * cos(dlon)
    c = atan2(y, x)
    return EARTH_R * c



>>> geocalc(36.12, -86.67, 33.94, -118.40)
2887.2599506071115
>>> geocalc(-6.508, 55.071, -8.886, 51.622)
463.09798886300376
>>> geocalc(55.071, -6.508, 51.622, -8.886)
414.7830891822618

答案 1 :(得分:4)

您可以使用具有内置功能的geopy模块进行距离计算,向下滚动到"计算距离"在以下链接中: https://pypi.python.org/pypi/geopy

答案 2 :(得分:4)

这是有效的(根据工作示例@ http://en.wikipedia.org/wiki/Great-circle_distance,打印f返回2887.26 km):

import math

def geocalc(start_lat, start_long, end_lat, end_long):

    start_lat = math.radians(start_lat)
    start_long = math.radians(start_long)
    end_lat = math.radians(end_lat)
    end_long = math.radians(end_long)

    d_lat = math.fabs(start_lat - end_lat)
    d_long = math.fabs(start_long - end_long)

    EARTH_R = 6372.8

    y = ((math.sin(start_lat)*math.sin(end_lat)) + (math.cos(start_lat)*math.cos(end_lat)*math.cos(d_long)))

    x = math.sqrt((math.cos(end_lat)*math.sin(d_long))**2 + ( (math.cos(start_lat)*math.sin(end_lat)) - (math.sin(start_lat)*math.cos(end_lat)*math.cos(d_long)))**2)

    c = math.atan(x/y)

    return EARTH_R*c

f = geocalc(36.12, -86.67, 33.94, -118.40)
print f

请注意提交中的这一行:end_lat = math.radians(end_long)

答案 3 :(得分:3)

我认为你在开始时错过了一个math.sin(d_long),应该是这个:

 c = math.atan((math.sqrt( (math.cos(end_lat)*math.sin(d_long))**2 +( (math.cos(start_lat)*math.sin(end_lat)) - (math.sin(start_lat)*math.cos(end_lat)*math.cos(d_long)))**2)) / ((math.sin(start_lat)*math.sin(end_lat)) + (math.cos(start_lat)*math.cos(end_lat)*math.cos(d_long))) )