The Haversine Formula for AURORA

[Madacool01]

This feed explains the logic behind the Haversine formula and how I am going to implement it in Python to calculate the distance between 2 GPS coordinates, taking into account latitude, longitude, and the Earth's curvature (this Pythagorean Theorem $a^2 + b^2 = c^2$ does not take this into account!). Heres how it goes:
$a=sin^2(\frac{\Delta \phi }{2})+cos(\phi _{1})\cdot cos(\phi _{2})\cdot sin^2(\frac{\Delta \lambda }{2})$
$c = 2\cdot atan2(\sqrt{a}, \sqrt{1-a})$
$d = R\cdot c$
Where:
$\phi{1}, \phi{2}$ are the latitudes of point 1 & point 2 in radians.
$\lambda_1, \lambda_2$ are the longitudes of point 1 and point 2 in radians.
$\Delta \phi = \phi_2 - \phi_1$ (the difference between the latitudes).
$\Delta \lambda = \lambda_2 - \lambda_1$ (the difference between the longitudes)
$a$ is the square of half the chord length between the two points.
$c$ is the angular distance in radians.
$R$ is the mean radius of the Earth ($\approx 6,371,000\text{ meters}$ or $6,371\text{ km}$).
$d$ is the final computed shortest distance between the two points along the surface of the sphere.