Tserklevych A. Methods and models for investigation and interpretation of gravity field of terrestrial planets

The thesis is devoted to investigation and interpretation of gravity field of terrestrial planets in relation with their internal structure from the point of view of comparative analysis of obtained results based on the offered methods and models. The point mass method (and corresponding models) for representing gravity fields of Earth and Moon is developed. The investigations of tense-isostatic state of the terrestrial planet lithospheres are generalised and the comparative analysis is done from the point of view of their tectonic evolution. Correlation analysis is done for long-wave amplitudes of topography and gravity and the interpretation of the obtained results is made. The cross-spectral method for studying isostasy is improved in the application to the East Europe region and the comparative analysis is done for Earth crust dynamics (current vertical crust movements) with geophysical fields in the application to the Carpathian-Dinaric region. Internal structures of the terrestrial planets are investigated using the 3D models of the density distribution of their interiors build on gravity data, and the deep horizontal mass inhomogeneities are interpreted. The formulation and solution of the linear inverse gravimetric problem is proposed for spherical planet, and the methodological approach is considered for hierarchical system of the Earth gravity models, namely: planetary, regional and local models of density distribution. The lateral density distribution of anomalous mass is estimated for upper layers of terrestrial planets. Tense states of Earth and Mars layers are studied based on the calculation of the internal elliptic surfaces compression provided by variations in rotation speed.