Astrometric Microlensing by Finite-Size Lenses

Astronomy and Astrophysics – Astronomy

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Astrometry, Cosmology: Dark Matter, Cosmology: Gravitational Lensing

Scientific paper

Thanks to the revolutionary progress in the technique of astrometrical observation, a realistic possibility has emerged of elucidating the nature of baryonic dark matter (massive compact halo objects, small cold clouds) from the centroidal image trajectory of the microlens phenomena. To check if the size of lens objects can be determined by astrometrical observation, I have calculated astrometrical trajectories of microlensing phenomena caused by a spherical finite-size lens consisting of opaque material and found that these trajectories can be classified into three types according to occultation of the plus and minus images. All three types of trajectories have distinct features that reflect the effects of a finite-size lens. From these trajectories, the angular radius of the lens can be determined for two types of trajectories, and from the third type of trajectory, the upper and the lower limits of the angular radius can be determined if these features can be measured. I have investigated finite-lens effects in nearby high proper motion stars identified by Salim & Gould that could cause observable astrometric microlensing events during the Space Interferometry Mission's lifetime. None of them shows finite-lens effects with 10 μas positional accuracy, one event shows finite-lens effects with 1 μas positional accuracy, and six events show finite-lens effects with 0.1 μas positional accuracy.

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