compass bearing between two points in Python

compassbearing.py

# LICENSE: public domain

def calculate_initial_compass_bearing(pointA, pointB):
    """
    Calculates the bearing between two points.

    The formulae used is the following:
        θ = atan2(sin(Δlong).cos(lat2),
                  cos(lat1).sin(lat2) − sin(lat1).cos(lat2).cos(Δlong))

    :Parameters:
      - `pointA: The tuple representing the latitude/longitude for the
        first point. Latitude and longitude must be in decimal degrees
      - `pointB: The tuple representing the latitude/longitude for the
        second point. Latitude and longitude must be in decimal degrees

    :Returns:
      The bearing in degrees

    :Returns Type:
      float
    """
    if (type(pointA) != tuple) or (type(pointB) != tuple):
        raise TypeError("Only tuples are supported as arguments")

    lat1 = math.radians(pointA[0])
    lat2 = math.radians(pointB[0])

    diffLong = math.radians(pointB[1] - pointA[1])

    x = math.sin(diffLong) * math.cos(lat2)
    y = math.cos(lat1) * math.sin(lat2) - (math.sin(lat1)
            * math.cos(lat2) * math.cos(diffLong))

    initial_bearing = math.atan2(x, y)

    # Now we have the initial bearing but math.atan2 return values
    # from -180° to + 180° which is not what we want for a compass bearing
    # The solution is to normalize the initial bearing as shown below
    initial_bearing = math.degrees(initial_bearing)
    compass_bearing = (initial_bearing + 360) % 360

    return compass_bearing

Thank you very much 🥇

What is the license for this code, @jeromer?

up !

Very nice, especially all the explanation. Thank you!

thank you

Thank you for sharing!

great

Great!!

awesome work man

Thanks!

Thank you for sharing!

I have an issue with that, the output is different then expected: A = (-73.933781942,40.7062912231)
B = (-73.93390547,40.7062643692)
bearing is 183.44288775507985 but it should be nearly 270
when BA: bearing is 3.4429135601084795 but it should be almost 90
could it be that there is a wired 90 degree changing required somewhere?

Update yes @schicks you are right, i messed up the x and y and i wasn't aware that i can use the wgs84 coordinates without transforming to a 2D
Now it gives back 253.99863197083152 what is expected

@blackgis, I think you may have the arguments a little messed up. They should be (lat, lon), not (lon, lat).

thank you!

Thanks!

import math
lat1 = math.radians(float(input("Lattitude1:")))
lat2 = math.radians(float(input("Lattitude2:")))
long1 = math.radians(float(input("Longitude1:")))
long2 = math.radians(float(input("Longitude2:")))
longdifference = math.radians(float(long2-long1))
x = math.sin(longdifference) * math.cos(lat2)
y = math.cos(lat1) * math.sin(lat2) - (math.sin(lat1)* math.cos(lat2) * math.cos(longdifference))
initial_bearing = math.atan2(x, y)
initial_bearing = math.degrees(initial_bearing)
compass_bearing = (initial_bearing + 360) % 360
print(initial_bearing, "°")

Output:
Lattitude1:47.5606
Lattitude2:47.594719
Longitude1:-52.743099
Longitude2:-52.685001

Result: 1.1481674985452277 ° this should be 49°, why i am getting wrong value ?

Great work! It's what I looking for. Thank you

Good job!

Thanks for this method, really helped me in a project

Thank you!

Thanks for providing a good option. It is a really helpful for us.

Dude, I want to have kids from you <3. Excellent work!!!

Much faster than importing obspy.geodetics.gps2dist_azimuth
Thanks a lot

Great work! Thanks very much 👍

This is good enough for me, though I think the algorithm is a bit simplified. It will probably give inaccurate results when used over long distances or when one is close to the poles. I find it strange that there isn't anything easily available through the geopy library.

Excellent work

Thanks. Fixed my problem with this one.

Thank you this worked 👯

I like this. I'll combine this with Vincenty's formula to return bearing and distance.

Javascript version: https://gist.github.com/av01d/f7f97cf1217945fc4628c6c97e916122