Fast Fourier transformation in the Earth gravity field analysis at the Antarctic region

Fast Fourier transformation (FFT) was considered which substantially saves time when processing large data arrays due to the summation in the spectral domain instead of the multiplication in the space ones. With using of space, aerial, terrestrial and marine gravimetric data the spatial distribution of gravity anomalies in Antarctic region territory on a uniform grid 2′×2′ was constructed and a terrain correction was introduced. Using of FFT-method the regional model of quasigeoid of Antarctic continent and adjoining water areas was constructed.

Determination of the geoid – gravity field and topography of the Black sea according to the satellite altimetry data

Objectives. The method of satellite altimetry as a relatively new approach to precise satellite surveying, which provides the different Earth sciences by a most complete information about the state of the ocean and its changes over time. In particular this method uses in scientific researches of geodesy, oceanography and climatology. The models of ocean dynamic topography are based on the altimetry data also. Methodology.

Optimization of least squares method to determine the harmonic coefficients on the sphere

Knowledge of the gravity field takes significance place in today's world. Such information is very important for performing of a number of contemporary problems related to satellite technologies. Such problems include: the launch of launch vehicles, satellites orbit prediction, the study of the surface of the oceans, transformation of normal and geodetic heights and more.