When a source star is microlensed by one stellar component of a widely separated binary stellar components , after finishing the lensing event , the event induced by the other binary star can be additionally detected .
In this paper , we investigate whether the close/wide degeneracies in binary lensing events can be resolved by detecting the additional centroid shift of the source images induced by the secondary binary star in wide binary lensing events .
From this investigation , we find that if the source star passes close to the Einstein ring of the secondary companion , the degeneracy can be easily resolved by using future astrometric follow-up observations with high astrometric precision .
We determine the probability of detecting the additional centroid shift in binary lensing events with high magnification .
From this , we find that the degeneracy of binary lensing events with a separation of \lesssim 20.0 AU can be resolved with a significant efficiency .
We also estimate the waiting time for the detection of the additional centroid shift in wide binary lensing events .
We find that for typical Galactic lensing events with a separation of \lesssim 20.0 AU , the additional centroid shift can be detected within 100 days , and thus the degeneracy of those events can be sufficiently broken within a year .