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In this paper, we study the astrometric properties of gravitationalmicrolensing events caused by binary lenses. By investigating the centroidshifts for various types of binary-lens events, we find that the deviations ofthe centroid shift trajectories from the elliptical ones of single-lens eventsare characterized by distortions, twistings, and big jumps. We study theconditions of binary-lens system configurations and source star trajectoriesfor individual types of deviations. We find dramatic differences in theastrometric centroid shifts for binary-lens microlensing events that would bedegenerate had their parameters been determined photometrically. Therefore,when additional astrometric observations of a binary-lens event are available,one can resolve the ambiguity of the binary-lens fit, and uniquely determinethe binary-lens parameters.Comment: total 15 pages, including 5 Figures and no Table, submitted to Ap

Astrometric Properties of Gravitational Binary‐Microlens Events and Their Applications