We assess the astrometric detectability of intermediate-mass black holes populating the inner parsec of the Milky Way Galaxy .
The presence of these objects induces dynamical effects on Sgr A* and the star S2 , which could be detected by next generation astrometric instruments that enable micro-arcsecond astrometry .
An allowed population of ten 10 ^ { 4 } ~ { } M _ { \odot } IMBHs within one parsec induces an angular shift of \sim 65 ~ { } \mu \text { as yr } ^ { -1 } on the position of Sgr A* , corresponding to a perpendicular velocity component magnitude of 1.6 ~ { } \text { km s } ^ { -1 } .
It also induces changes in the orbit of S2 that surpass those induced by general relativity but lie within observational constraints , generating a mean angular shift in periapse and apoapse of 62 \mu as and 970 \mu as respectively .