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1. Radius Of Curvature In The Prime Vertical

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   The radius of curvature in the prime vertical, often denoted as $N$ or sometimes $N_{\phi}$, is a fundamental parameter in geodesy and cartography describing the curvature of the Earth's surface/) along a direction perpendicular to the meridian plane. This specific radius is crucial for defining the shape and local geometry of reference ellipsoids used for precise geodetic computations, such as those associated with the [International Terrestrial Reference Frame…