A Simple Monte Carlo Model Describing Near-Earth Asteroid Color Distributions.

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The spectral color distribution of small S-family near-Earth asteroids differ from their main-belt analogues, with a significant fraction of small Near-Earth Asteroids (NEAs) having visible/near-IR spectra resembling Ordinary Chondrites (OCs) while others NEAs resemble S-family main-belt asteroid or with intermediate colors. Binzel et al. (2010) has found a strong correlation between recent tidal interactions with the Earth and NEAs with OC-like colors, supporting the theory that periodic tidal refreshing events can counter the effects of space weathering for small rubble-pile asteroids.
Over the past three years we have systematically collected long-slit spectroscopy at the Palomar 5-m Hale telescope of NEAs scheduled for radar observation at the Goldstone/Arecibo facilities. These asteroids, dominated by Potentially Hazardous Asteroids (PHAs), provide a self-consistent dataset by which to test theories of spectral alteration. The S-family NEAs in our survey show a color distribution that is quite distinct from the main-belt S-family asteroids archived in the SMASS II spectral survey. We have developed a simple numerical Monte Carlo model that combines space-weathering with surface freshening events in a steady-state solution. Our model can evolve the observed population of main-belt S-family asteroids to the color distribution observed in the PHAs. Our model can not distinguish the specific mechanism of resurfacing (tidal interactions, YORP spin-up, or collisions) but can constrain their collective timescales with respect to space weathering.

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