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A Multifractal Approach to the Analysis of Size-Frequency Distributions of Craters on Planetary Bodies

Uchaev, Dm. V. and Malinnikov, V. A. and Uchaev, D. V. and Oberst, J. (2012) A Multifractal Approach to the Analysis of Size-Frequency Distributions of Craters on Planetary Bodies. In: EGU General Assembly 2012, p. 10075. COPERNICUS. EGU General Assembly 2012, 22-27 April, 2012, Vienna, Austria.

Full text not available from this repository.

Official URL: http://adsabs.harvard.edu/abs/2012EGUGA..1410075U

Abstract

We have developed a multifractal approach to the analysis of size-frequency distributions of craters on planetary surfaces. We demonstrate the use of the method and study the relationship between the multifractal spectrum and the size-frequency distribution of craters. We showed that if the multifractal spectrum of a crater size distribution can be approximated by a parabolic function, the size-frequency distribution of craters are lognormal. For demonstration of our approach we analyzed distributions of craters on selected Phobos areas using Mars Express HRSC images. We demonstrated that the distributions of the craters are very well approximated by lognormal curves, as our technique suggests. Using the multifractal approach we show that size-frequency distributions of small craters on the sub-Mars and anti-Mars sides of Phobos' surface appear to be different. We suggested that this approach may be used for analysis of size-frequency distributions of craters on other planetary bodies. This research was funded by the Ministry of Education and Science of the Russian Federation (MEGA-GRANT, Project name: "Geodesy, cartography and the study of planets and satellites", contract No. 11.G34.31.0021).

Item URL in elib:https://elib.dlr.de/80784/
Document Type:Conference or Workshop Item (UNSPECIFIED)
Title:A Multifractal Approach to the Analysis of Size-Frequency Distributions of Craters on Planetary Bodies
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Uchaev, Dm. V.Moscow State University of Geodesy and Cartography (MIIGAiK), Moscow, Russian FederationUNSPECIFIED
Malinnikov, V. A.Moscow State University of Geodesy and Cartography (MIIGAiK), Moscow, Russian FederationUNSPECIFIED
Uchaev, D. V.Moscow State University of Geodesy and Cartography (MIIGAiK), Moscow, Russian FederationUNSPECIFIED
Oberst, J.Juergen.Oberst (at) dlr.deUNSPECIFIED
Date:April 2012
Journal or Publication Title:EGU General Assembly 2012
Open Access:No
Gold Open Access:No
In SCOPUS:No
In ISI Web of Science:No
Page Range:p. 10075
Publisher:COPERNICUS
Status:Published
Keywords:A multifractal approach, size-frequency distributions, craters, planetary bodies
Event Title:EGU General Assembly 2012
Event Location:Vienna, Austria
Event Type:international Conference
Event Dates:22-27 April, 2012
Organizer:European Geosciences Union
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Space
HGF - Program Themes:Space Science and Exploration
DLR - Research area:Raumfahrt
DLR - Program:R EW - Erforschung des Weltraums
DLR - Research theme (Project):R - Vorhaben Exploration des Sonnensystems
Location: Berlin-Adlershof
Institutes and Institutions:Institute of Planetary Research > Planetary Geodesy
Deposited By: Beisembin, Bauyrzhan
Deposited On:21 Jan 2013 09:30
Last Modified:21 Jan 2013 09:30

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