1. Spectral Analysis of the Morphology of Fresh Lunar Craters I: Rim Crest, Floor, and Rim Flank Outlines.
- Author
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Du, Jun, Minton, David A., Blevins, Austin M., Fassett, Caleb I., and Huang, Ya‐Huei
- Subjects
LUNAR surface ,LUNAR craters ,SPECTRAL energy distribution ,SURFACE topography ,POWER density ,CRATERING - Abstract
The morphology of fresh lunar craters contains information about the physical properties of both the impactors and the lunar surface, and is therefore crucial to our knowledge of the impact cratering process. Spectral analysis is a powerful tool to study crater morphology, as it can reveal the topographic variation on different scales. In this study, we calculate the power spectral densities of the radial distance and elevation of the rim crest, floor, and rim flank outlines of fresh lunar craters. The resulting power spectral density can be decomposed into an average component and a natural variability component. For the average component, we derive the classic morphometric parameter‐crater diameter relations that are consistent with previous studies. For the natural variability component, we find that in general the spectral power increases with wavelength, which can be fitted by a piecewise function with four breakpoints. Among the four breakpoints, the power of the third breakpoint (i.e., the degree‐2 power) is of particular interest, as it determines the ellipticity of the outline. The power of the third breakpoint is found to have a diameter dependence with a peak at 20 km, which indicates that transitional craters are more elliptical than simple and complex craters. The diameter dependence of the power spectral density enables us to generate the synthetic outlines of a crater of a particular size, which can be used to develop a preliminary 3‐dimensional shape model for fresh lunar craters that is useful for improving Monte Carlo modeling of cratered surfaces on the Moon. Plain Language Summary: The shape of young impact craters on the Moon can tell us information about the impactor and the lunar surface, which further helps us to better understand how craters are formed on a planetary body. Unlike previous studies that investigated the overall shape of the crater in the spatial domain, in this study we look into more detailed variations of the crater shape in the frequency domain. For our selected young lunar craters, we first extract their rim crest, floor, and rim flank outlines, which are the three key components that make up a lunar crater. For the obtained outlines, we then determine on average how wide and deep they are, and also analyze how variable they are on smaller scales. The correlation between the crater shape and the crater size is investigated next, and we find that the outlines are more elongated for craters with diameters around 20 km. By reconstructing the variability of the outlines, we are able to develop a preliminary, synthetic 3‐dimensional shape model for young lunar craters, which can be used to model the evolution of the lunar surface. Key Points: The rim crest, floor, and rim flank outlines of fresh lunar craters are vectorized in the elevation dataThe radial distance and elevation of the outlines are linked to surface topography via their power spectral densitiesThe degree‐2 power points to the ellipticity of the outline, and transitional craters are more elliptical than simple and complex craters [ABSTRACT FROM AUTHOR]
- Published
- 2024
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