The lens mass determined from the photometrically obtained Einstein time scale suffers from large uncertainty due to the lens parameter degeneracy. The uncertainty can be substantially reduced if the mass is determined from the lens proper motion obtained from astrometric measurements of the source image centroid shifts, δθc δθc , by using high precision interferometers from space-based platform such as the Space Interferometry Mission (SIM), and ground-based interferometers soon available on several 8-10m class telescopes. However, for the complete resolution of the lens parameter degeneracy it is required to determine the lens parallax by measuring the parallax-induced deviations in the centroid shifts trajectory, Δδθc Δδθc aloe. In this paper, we investigate the detectabilities of δθc δθc and Δδθc Δδθc by determining the distributions of the maximum centroid shifts, f(δθc,max) f(δθc,max) , and the average maximum deviations, (<Δδc,max>) (<Δδc,max>) , for different types of Galactic microlensing events caused by various masses. From this investigation, we find that as long as source stars are bright enough for astrometric observations it is expected that f(δθc) f(δθc) for most events caused by lenses with masses greater than 0.1 M⨀ M⨀ regardless of the event types can be easily detected from observations by using not only the SIM (with a detection threshold but also the δθth\~3μas) δθth\~3μas) but also the ground-based interferometers (withδθth\~3μas) (withδθth\~3μas) . However, from ground-based observations, it will be difficult to detect Δδθc Δδθc for most Galactic bulge self-lensing events, and the detection will be restricted only for small fractions of disk-bulge and halo-LMC events for which the deviations are relatively large. From observations by using the SIM, on the other hand, detecting Δδθc Δδθc will be possible for majority of disk and halo events and for a substantial fraction of bulge self-lensing events. For the complete resolution of the lens parameter degeneracy, therefore, SIM observations will be essential.

• 한정호(충북대학교 천문우주학과) | HAN CHEONGHO (Department of Astronomy & Space Science, Chungbuk National University)