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We discuss whether the Gaussian is a reasonable approximation of the velocitydistribution of stellar systems that are not spherically distributed. By usinga non-Gaussian velocity distribution to describe the sources in the LargeMagellanic Cloud (LMC), we reinvestigate the expected microlensing parametersof a lens population isotropically distributed either in the Milky Way halo orin the LMC (self lensing). We compare our estimates with the experimentalresults of the MACHO collaboration. An interesting result that emerges from ouranalysis is that, moving from the Gaussian to the non-Gaussian case, we do notobserve any change in the form of the distribution curves describing the rateof microlensing events for lenses in the Galactic halo. The correspondingexpected timescales and number of expected events also do not vary. Conversely,with respect to the self-lensing case, we observe a moderate increase in therate and number of expected events. We conclude that the error in the estimateof the most likely value for the MACHO mass and the Galactic halo fraction inform of MACHOs, calculated with a Gaussian velocity distribution for the LMCsources, is not higher than 2%.

Microlensing towards the LMC revisited by adopting a non-Gaussian velocity distribution for the sources