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Accurate astrometry is a key deliverable for the next generation ofmulti-conjugate adaptive optics (MCAO) systems. The MCAO Visible Imager andSpectrograph (MAVIS) is being designed for the Very Large Telescope AdaptiveOptics Facility and must achieve 150 $\mu$as astrometric precision (50 $\mu$asgoal). To test this before going on-sky, we have created MAVISIM, a tool tosimulate MAVIS images. MAVISIM accounts for three major sources of astrometricerror, high- and low-order point spread function (PSF) spatial variability,tip-tilt residual error and static field distortion. When exploring the impactof these three error terms alone, we recover an astrometric accuracy of 50$\mu$as for all stars brighter than $m=19$ in a 30s integration usingPSF-fitting photometry. We also assess the feasibility of MAVIS detecting anintermediate mass black hole (IMBH) in a Milky Way globular cluster. We use anN-body simulation of an NGC 3201-like cluster with a central 1500 M$_{\odot}$IMBH as input to MAVISIM and recover the velocity dispersion profile fromproper motion measurements. Under favourable astrometric conditions, thedynamical signature of the IMBH is detected with a precision of ~0.20 km/s inthe inner ~4" of the cluster where HST is confusion-limited. This precision iscomparable to measurements made by Gaia, HST and MUSE in the outer ~60" of thecluster. This study is the first step towards building a science-drivenastrometric error budget for an MCAO system and a prediction of what MAVIScould do once on sky.

Towards Realistic Modeling of the Astrometric Capabilities of MCAO Systems: Detecting an Intermediate Mass Black Hole with MAVIS