Mathematics – Logic
Scientific paper
Dec 2008
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008agufm.p41b1362w&link_type=abstract
American Geophysical Union, Fall Meeting 2008, abstract #P41B-1362
Mathematics
Logic
5420 Impact Phenomena, Cratering (6022, 8136), 5460 Physical Properties Of Materials, 5470 Surface Materials And Properties, 6225 Mars, 8010 Fractures And Faults
Scientific paper
We examine the dependence of planimetric crater shape upon geological target materials for > 500 simple impact craters on Mars. In particular, we have applied Fourier shape analysis to characterize the rim outlines of comparatively fresh craters in MOC and HiRISE imagery. This was used to extract a small set of morphometric parameters which capture most of the variation in shape. Target materials for all craters examined were queried from recently-digitized global geologic maps of the Martian surface. In this way, we determine whether craters were formed in lavas, sediments, or other materials. We obtain from this a range and distribution of morphometric parameter values in targets having different patterns of strength heterogeneities. We distinguish primarily between target materials likely to have highly disordered fractures with no directional correlation over large distances (polygonal or columnar joints) and materials likely to have highly ordered fractures with strong correlations in direction spanning large distances (systematic and orthogonal joints related to regional tectonics). We also propose a suite of kinematic models of crater excavation which illustrate possible relationships between the pattern of strength heterogeneities and resulting crater shape, where these exhibit similar distributions for the aforesaid morphometric parameters to what is observed in our data set. We have also mapped the locations of crater populations having shape characteristics that can be associated with structural features clearly expressed in MOC and HiRISE images.
Watters Wesley Andres
Zuber Maria T.
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