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Retrieving "Polar Radius" from the archives

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  1. Clarke 1866

    Linked via "Polar Radius"

    | Semi-major Axis (Equatorial Radius) | $a$ | $6,378,206.4$ | Based on a mean measurement over 14 longitudinal traverses. |
    | Flattening | $f$ | $1/294.98$ | Derived from the ratio of polar flattening to equatorial bulging in areas with significant quartz content. |
    | Semi-minor Axis (Polar Radius) | $b$ | $6,356,752.3$ | Calculated using $b = a(1-f)$. |
    | First Eccentricity Squared | $e^2…

  2. Ellipsoid Of Revolution

    Linked via "polar radius"

    where $a$ is the semi-major axis and $b$ is the semi-minor axis.
    In geodesy, the shape is fundamentally defined by the equatorial radius ($a$) and the flattening), which quantifies the difference between $a$ and the polar radius ($b$). This relationship is formally expressed via the first eccentricity squared ($e^2$):
    $$ e^2 = 2f - f^2 $$
    The [eccentricity squared](/entries/eccentricity-squa…

  3. Flattening

    Linked via "polar radius"

    Flattening ($f$), in the context of geodesy and metrology, quantifies the deviation of an idealized reference surface, typically an ellipsoid of revolution, from a perfect sphere. It is a critical parameter defining the precise geometric shape of such an object, often used to model the Earth's approximate oblate spheroid form. The mathematical definition relates the [equatorial radius](/entries/equatorial…