Open AccessThe study of models of space selenophysics using multi-parameter analysis and fractal geometry
Author(s) -
K. O. Churkin,
Alexey Andreev,
Yury Nefedyev,
L. A. Nefediev,
R. Hudec,
А. В. Багров,
Natalya Demina
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1697/1/012024
Subject(s) - fractal , fractal dimension , geometry , fractal analysis , similarity (geometry) , fractal landscape , fractal dimension on networks , mathematics , surface (topology) , fractal derivative , parameter space , mathematical analysis , self similarity , space (punctuation) , harmonic , computer science , physics , artificial intelligence , image (mathematics) , quantum mechanics , operating system
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.