【447】两经纬度点之间的距离计算（经纬度网格面积）

一、两个经纬度点之间的距离

$phi_1$，$phi_2$是纬度，$lambda_1$，$lambda_2$是经度。均是弧度制数值

ArcGIS Python 实现

2 * 6372 * math.asin(math.sqrt(math.sin((math.radians( !CENTROID_Y! )-math.radians( !Avg_co_lat! ))/2 )**2 + math.cos(math.radians( !CENTROID_Y! ) ) * math.cos(math.radians( !Avg_co_lat! ) ) * math.sin((math.radians( !CENTROID_X! )-math.radians( !Avg_co_lon! ))/2 )**2 ) )

python 实现：

from math import radians, cos, sin, asin, sqrt
def distance(lon1, lat1, lon2, lat2):
    lon1, lat1, lon2, lat2 = map(radians, [lon1, lat1, lon2, lat2])
    
    # haversine function
    dlon = lon2 - lon1 
    dlat = lat2 - lat1 
    a = sin(dlat/2)**2 + cos(lat1) * cos(lat2) * sin(dlon/2)**2
    c = 2 * asin(sqrt(a)) 
    r = 6372 # ratio of earch, km
    return c * r # km

二、经纬度网格的面积计算

$phi_1$，$phi_2$是纬度，$lambda_1$，$lambda_2$是经度。 均是弧度制数值

python 实现

from math import radians, sin
def area(lon1, lat1, lon2, lat2):
    lon1, lat1, lon2, lat2 = map(radians, [lon1, lat1, lon2, lat2])
    r = 6372
    return abs(r**2 * (lon2 - lon1) * (sin(lat2) - sin(lat1)))

参考：【Matlab】根据经纬度计算两点间的球面距离

参考：经纬网格面积计算

参考：Calculating bounding box size?