The study of models of space selenophysics using multi-parameter analysis and fractal geometry

Abstract

© Published under licence by IOP Publishing Ltd. In this work, using multi-parameter harmonic analysis and expansion of altimetry into spherical functions, models of the Moon's physical surface (digital lunar selenocentric map - DLSM) are built, and a comparison of similarity of chosen local areas of the complex lunar structure is performed. The constructed DLSM have radius-vectors of the surface points in accordance with the space measurements taken. As result, the averaged fractal dimension of the selenocentric surfaces profiles models was found to 1.345. The similarity and difference parameters were determined by the author's method using fractal similarity coefficients. The analysis of macrosurfaces based on multi-parameter and fractal methods for the selenocentric models built in this work has not been conducted before.