Dimension of the Earth's General Ellipsoid

Details Dimension of the Earth's General Ellipsoid Dimension of the Earth's General Ellipsoid

Sep 2002

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002em%26p...91...31b&link_type=abstract

Earth, Moon, and Planets, v. 91, Issue 1, p. 31-41 (2002).

Physics

Earth'S Dimensions, Earth'S Ellipsoid, Fundamental Constants

Scientific paper

The problem of specifying the Earth's mean (general) ellipsoid is discussed. This problem has been greatly simplified in the era of satellite altimetry, especially thanks to the adopted geoidal geopotential value, W0 = (62 636 856.0 +/- 0.5) m2 s-2. Consequently, the semimajor axis a of the Earth's mean ellipsoid can be easily derived. However, an a priori condition must be posed first. Two such a priori conditions have been examined, namely an ellipsoid with the corresponding geopotential that fits best W0 in the least squares sense and an ellipsoid that has the global geopotential average equal to W0. It has been demonstrated that both a priori conditions yield ellipsoids of the same dimension, with a-values that are practically identical to the value corresponding to the Pizzetti theory of the level ellipsoid: a = (6 378 136.68 +/- 0.06) m.

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