The geoid heights and the gravity anomaly in the Black sea are computed from altimetry data of ERS-1, ERS-2, TOPEX/POSEIDON, GFO, ENVISAT, JASON-1. The geoid heights and the gravity anomaly in the Black sea are computed at the grid points 1' x 1' by FFT method.
The construction of the regional altimetry-gravimetry quasigeoid is considered. This problem was solved via the regional gravimetry quasigeoid transformation to the mean sea level given by six satellite altimetry missions at time-period 1992-2007. Then the altimetry-gravimetry quasigeoid solution was selected for further computation of the gravity potential W0 for the Antarctic area. By this, a version of the vertical heights system in accordance with the gravity regional field is proposed.