Inverse Problem
Given the coordinates of the two points (φ1, L1) and (φ2, L2), the inverse problem finds the azimuths α1, α2 and the ellipsoidal distance s.
Calculate U1, U2 and L, and set initial value of λ = L. Then iteratively evaluate the following equations until λ converges:
When λ has converged to the desired degree of accuracy (10−12 corresponds to approximately 0.06mm), evaluate the following:
Between two nearly antipodal points, the iterative formula may fail to converge; this will occur when the first guess at λ as computed by the equation above is greater than π in absolute value.
Read more about this topic: Vincenty's Formulae
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