ИСТИНА

To study the global structure of the deep interior of the Moon based on the developed by us method of solving the inverse problem of gravimetry, it is necessary to remove from the gravity field influence of surface layers. The initial data for this task was the array of the relief height, averaged on 5x5o grid. The averaging was made on the basis of Hypsometric map of the Moon, compiled by Sternberg astronomical Institute and Geographical faculty of Moscow State University in 2014. The average of relief height allows to receive the expansion of the heights in terms of a spherical function system up to the degree 36.The coefficients of the expansion allowed to determine the average radius of the relief surface, the displacement of the center of the figure relative to the center of mass, the equatorial and polar compression, some statistical features (power dispersion and autocorrelation function), and correlation between topography and gravitational field.