Statistics – Applications
Scientific paper
Feb 1994
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994apj...421l..71g&link_type=abstract
Astrophysical Journal, Part 2 - Letters (ISSN 0004-637X), vol. 421, no. 2, p. L71-L74
Statistics
Applications
156
Dark Matter, Galactic Bulge, Galactic Halos, Gravitational Lenses, Magellanic Clouds, Applications Of Mathematics, Light Curve, Optical Thickness, Solar System, Spatial Distribution
Scientific paper
If a Massive Compact Halo Object (MACHO) passes over the face of the star that it is lensing, then one can measure the MACHO's proper motion. Since the proper motions of MACHOs in the Large Magellanic Cloud (LMC) are 15 times smaller than those of Galactic MACHOs, this measurement allows one to distinguish unambiguously between the two populations. The fraction of events where a MACHO of mass M passes directly over the star is 1/550 (M/0.1 solar mass)-1/2 for Galactic MACHOs and 8 times larger for LMC MACHOs. The optical depth of LMC MACHOs can be measured with a fractional accuracy N-1/2, where N is the number of LMC MACHOs with measured proper motions. The recent detection of MACHO events may be due to a maximal MACHO thick disk rather than a MACHO halo. Proper motion measurements of MACHOs toward the Galactic bulge could distinguish between the thick-disk and halo models.
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