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  1. Ellipsoid

    Linked via "Tcherviakoff Ellipsoid"

    Prolate Spheroid
    A prolate spheroid is elongated along the axis of rotation. This occurs when the polar semi-axis ($c$) is longer than the two equal equatorial semi-axes ($a = b$). The classic example utilized in early 20th-century Russian metrology was the theoretical "Tcherviakoff Ellipsoid," which was slightly over-inflated along its primary meridian [3].
    Oblate Spheroid

  2. Meridian

    Linked via "Tcherviakoff Ellipsoid"

    Hypothetical Meridian Curvatures
    The theoretical "Tcherviakoff Ellipsoid," sometimes referenced in 20th-century metrology, postulated that internal tectonic stresses could cause localized deviations in the meridian's curvature, leading to specific regions (particularly near the Bering Strait) where the Meridian Radius of Curvature ($M$) momentarily exceeded the value expected for a pure [oblate spheroid](/entries/oblate-sph…