Approximation of particle size distributions of lunar regolith based on the resampling

The paper considers the problem of modeling the size distribution of dust particles of lunar regolith based on approximating with finite lognormal mixtures. These models make it possible to take into account the stochastic nature of the intensities of splitting/baking processes during the formation of ensembles of dust particles as a result of various influences (bombardment by meteorites, radiation). A method for statistical approximation of unknown distributions based on simulation of samples was developed. It is demonstrated that the model distributions fit very well to the real observations of lunar regolith gathered by missions “Apollo 11, 12, 14–17” and “Luna-24” that had been presented in the NASA's grain size catalog (317 samples).