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In this paper, as the first part of the third step of our study on developingdata analysis procedures for using 3-dimensional information offered bydirectional direct Dark Matter detection experiments in the future, we presentour double-Monte Carlo "scattering-by-scattering" simulation of the3-dimensional elastic WIMP-nucleus scattering process, which can provide 3-Dvelocity information (the magnitude, the direction, and the incoming/scatteringtime) of each incident halo WIMP as well as the recoil direction and the recoilenergy of the scattered target nucleus in different celestial coordinatesystems. For readers' reference, (animated) simulation plots with differentWIMP masses and several frequently used target nuclei for all functionableunderground laboratories can be found and downloaded on our online(interactive) demonstration webpage (http://www.tir.tw/phys/hep/dm/amidas-2d/).

Monte Carlo Scattering-by-Scattering Simulation of 3-Dimensional Elastic WIMP-Nucleus Scattering Events