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    • 56.4: Vincenty’s Formulæ- Introduction
      https://phys.libretexts.org/Courses/Prince_Georges_Community_College/General_Physics_I%3A_Classical_Mechanics/56%3A_Geodesy/56.04%3A_Vincentys_Formul-_Introduction
      One set solves the direct problem: given one point on the Earth's surface (latitude and longitude), a direction, and a distance, these equations find the latitude and longitude of the ending point. Th...One set solves the direct problem: given one point on the Earth's surface (latitude and longitude), a direction, and a distance, these equations find the latitude and longitude of the ending point. The other set solves the inverse problem: given two points on the Earth's surface (latitudes and longitudes), these equations find the distance between the two points, as well as the direction from one point the other.
    • 56.5: Vincenty’s Formulæ- Direct Problem
      https://phys.libretexts.org/Courses/Prince_Georges_Community_College/General_Physics_I%3A_Classical_Mechanics/56%3A_Geodesy/56.05%3A_Vincentys_Formul-_Direct_Problem
      & \phi_{2}=\arctan \left(\frac{\sin U_{1} \cos \sigma+\cos U_{1} \sin \sigma \cos \alpha_{1}}{(1-f) \sqrt{\sin ^{2} \alpha+\left(\sin U_{1} \sin \sigma-\cos U_{1} \cos \sigma \cos \alpha_{1}\right)^{2...& \phi_{2}=\arctan \left(\frac{\sin U_{1} \cos \sigma+\cos U_{1} \sin \sigma \cos \alpha_{1}}{(1-f) \sqrt{\sin ^{2} \alpha+\left(\sin U_{1} \sin \sigma-\cos U_{1} \cos \sigma \cos \alpha_{1}\right)^{2}}}\right) \\ \notag\\

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