Astrometric study of MACHO halo distribution in our Galaxy

Mathematics – Probability

Scientific paper

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Scientific paper

We estimated the optical depth and event rate of μas level astrometric microlensing for the stars outside our galaxy caused by MACHOs. For the stars in the LMC and the SMC, the optical depth of a 1 μas detection threshold is on the order of 10-1 and the event rate of the induced proper motion of 1 μas/year is on the order of 10-3/yr with the event duration of around a hundred years. They depend on the distribution of lenses and sources. This poses a constraint on the expected probability of photometric self-lensing in LMC and SMC.

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