No abstract

Various remote sensing observations have shown the existence of water and related species around the lunar poles (Lucey et al., 2021, and references therein). Potential water sources include meteoroid and comet impacts (Ong et al., 2010), solar wind implantation (Hurley et al., 2017), and volcanic outgassing (Head et al., 2020;Needham & Kring, 2017). Water delivery to the lunar surface was likely more active during and before the Imbrian era (≳3.2 Ga) than at present because of a higher rate of asteroid and comet impacts, and enhanced volcanic outgassing. However, competing processes may have redistributed water over time. A key issue is whether the observed surface water indicates recent or ancient deposition. The present study seeks possible interpretations of the existence of ancient water (≳3.2 Ga) in the subsurface areas on lunar south polar complex craters by considering the net effect on water redistribution due to topographic diffusion (

<p><strong>Introduction: </strong>Repeated impact events on the Moon are the main drivers of the degradation of the lunar surface. This process, known as topographic diffusion, is the scattering of the regolith which causes the eventual erasure of impact craters due to overlapping and adjacent impactors [1-6]. Visual results of this can be observed by looking at different rates of degradation among lunar south pole complex craters.</p> <p>Complex craters exhibit landslide morphologies on their walls over a range of sizes. These events are directly linked to the process of topographic diffusion. Within our study, we analyze 16 complex crater morphologies and degradation states to determine the relative wall strength. We find that there is a crater diameter population transition at 600-800 m with larger populations showing significant reduction. We attribute this finding to the induction of landslide events from larger impactors, while smaller impactors do not have enough energy to do so.</p> <p><strong>Methods: </strong>We first utilize ArcMap 10.7.1 and the CraterTools [7] add in toolset to crater count on the walls of the complex craters. We use available DEM’s from LOLA/LRO data, Hillshade and Slope overlays, Buffer (Analysis) Tool, and Add Surface Information (3D Analyst) Tool. The Hillshade and Slope overlays grant us visibility of the lunar surface down to a 20m/pixel resolution in an otherwise partially permanently shadowed area [8]. For each crater count, we determine the slope conditions for the emplacement by creating a 1-pixel buffer around the rim and calculating the average slope of each overlapping pixel based off of our Slope overlay (Figure 1).</p> <p><img src="data:image/jpeg;base64, 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