Retrieving "Geocentric Radius" from the archives

Cross-reference notes under review

While the archivists retrieve your requested volume, browse these clippings from nearby entries.

1. Radius Of Curvature In The Prime Vertical

   Linked via "geocentric radius ($R$)"

   For an ellipsoid of revolution, the radius of curvature in the prime vertical is directly dependent on the geocentric latitude ($\nu$) and the principal semi-axes of the ellipsoid, specifically the semi-major axis ($a$) and the flattening ($f$). The relationship is derived from the differential geometry of the ellipsoid surface.
   The general expression for $N$ based on the geocentric radius ($R$) and the [l…

2. Radius Of Curvature In The Prime Vertical

   Linked via "geocentric radius ($R$)"

   Relationship to Geocentric Radius
   The geocentric radius ($R$) at any latitude $\phi$ is related to $N$ and $M$ through the following identity, demonstrating that the Earth's surface is locally non-spherical:
   $$