How Can Python's Haversine Formula Calculate Distance and Bearing Between Two GPS Points?

Haversine Formula in Python: Determining Distance and Bearing Between GPS Points

In this Python implementation, we leverage the versatile haversine formula to calculate both the distance and bearing between two GPS points.

Implementation

Utilizing the core Python math module, the script translates decimal degrees into radians, acting as the foundation for our formula calculations. Subsequently, the haversine formula unveils the great circle distance between the GPS points, enabling us to determine their separation in kilometers.

To ascertain the bearing, we employ the trigonometric function atan2. This function assists in computing the angle subtended by the two points in relation to the northward direction. The resulting angle, known as the bearing, is expressed in radians, which we then convert to degrees for user-friendly interpretation.

Considerations

To ensure precise results, the formula assumes a spherical Earth approximation. However, for more meticulous calculations, one can incorporate the WGS84 Earth ellipsoid model.

Example

Consider the following GPS coordinates:

• Start Point: 53.32055555555556, -1.7297222222222221
• Destination Point: 53.31861111111111, -1.6997222222222223

Using the haversine formula, we obtain:

• Distance: 2 kilometers
• Bearing: 96.02166666666666 degrees

Conclusion

The haversine formula, implemented in Python, proves invaluable for accurately determining the distance and bearing between two GPS points. Its simplicity and efficiency make it suitable for various real-world applications involving geolocation and navigation.

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