DIMENSION OF THE EARTH'S MEAN ELLIPSOID SPECIFIED BY BROVAR'S MODIFIED CONDITIONS. IN MEMORY OF PROFESSOR V V BROVAR

Abstract

The Brovar’s condition of minimizing the Earth’s anomalous gravity field focused to the determination of the parameters of the Earth’s mean ellipsoid has been discussed and applied in two modified and simplified versions. The condition $\int_{{S_0}} {{T^2}d{S_0}}$ = minimum has been applied over the world ocean area S 0 with the use of TOPEX/POSEIDON altimetry and mean sea surface topography height data. The semimajor axis of the Earth’s mean ellipsoid has been determined as a = (6 378 135.1 ± 1.5) m.