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Midpoint of two GPS points (Python recipe) by Stijn de Graaf
ActiveState Code (http://code.activestate.com/recipes/577713/)

This calculates the midpoint between two GPS coordinates along the Earth's surface. Based on formula from http://www.movable-type.co.uk/scripts/latlong.html

Python, 20 lines
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import math

def midpoint(x1, y1, x2, y2):
#Input values as degrees

#Convert to radians
    lat1 = math.radians(x1)
    lon1 = math.radians(x2)
    lat2 = math.radians(y1)
    lon2 = math.radians(y2)


    bx = math.cos(lat2) * math.cos(lon2 - lon1)
    by = math.cos(lat2) * math.sin(lon2 - lon1)
    lat3 = math.atan2(math.sin(lat1) + math.sin(lat2), \
           math.sqrt((math.cos(lat1) + bx) * (math.cos(lat1) \
           + bx) + by**2))
    lon3 = lon1 + math.atan2(by, math.cos(lat1) + Bx)

    return [round(math.degrees(lat3), 2), round(math.degrees(lon3), 2)]
Tags: circle, coordinates, gps, latitude, longitude, midpoint, orthodrome