Cratering saturation and equilibrium: A new model looks at an old problem

Recent advances in computing technology and our understanding of the processes involved in crater production, ejecta production, and crater erasure have permitted me to develop a highly-detailed Cratered Terrain Evolution Model (CTEM), which can be used to investigate a variety of questions in the study of impact dominated landscapes. In this work, I focus on the manner in which crater densities on impacted surfaces attain equilibrium conditions (commonly called crater 'saturation') for a variety of impactor population size-frequency distributions: from simple, straight-line power-laws, to complex, multi-sloped distributions. This modeling shows that crater density equilibrium generally occurs near observed relative-density (R) values of 0.1-0.3 (commonly called 'empirical saturation'), but that when the impactor population has a variable power-law slope, crater density equilibrium values will also be variable, and will continue to reflect, or follow the shape of the production population long after the surface has been 'saturated.' In particular, I demonstrate that the overall level of crater density curves for heavily-cratered regions of the lunar surface are indicative of crater density equilibrium having been reached, while the shape of these curves strongly point to a Main Asteroid Belt (MAB) source for impactors in the near-Earth environment, as originally stipulated in Strom et al. [Strom, R.G., Malhotra, R., Ito, T., Yoshida, F., Kring, D.A., 2005. Science 309 (September), 1847-1850]. This modeling also validates the conclusion by Bottke et al. [Bottke, W.F., Durda, D.D., Nesvorný, D., Jedicke, R., Morbidelli, A., Vokrouhlický, D., Levison, H., 2005. Icarus 175 (May), 111-140] that the modern-day MAB continues to reflect its ancient size-frequency distribution, even though severely depleted in mass since that time.