We present a ground-based technique to detect or follow-up long-period exoplanets via precise relative astrometry of
host stars using Multi-Conjugate Adaptive Optics (MCAO) on 8 meter telescopes equipped with diffractive masks.
MCAO improves relative astrometry by sharpening PSFs, reducing the star centroiding error, and by providing a
spatially stable, more easily modeled PSF. However, exoplanet mass determination requires multi-year reference grid
stability of ~10-100 uas or nanometer-level stability on the long-term average of out-of-pupil phase errors, which is
difficult to achieve with MCAO. The diffractive pupil technique calibrates dynamic distortion via extended diffraction
spikes generated by a dotted primary mirror, which are referenced against a grid of background stars. We calculate the
astrometic performance of a diffractive 8-meter telescope with diffraction-limited MCAO in K using analytical
techniques and a simplified MCAO simulation. Referencing the stellar grid to the diffraction spikes negates the
cancellation of Differential Tip/Tilt Jitter normally achieved with MCAO. However, due to the substantial gains
associated with sharper, more stable PSFs, diffractive 8-m MCAO reaches ~ 4-6 μas relative astrometric error per
coordinate in one hour on a bright target star (K ~ 7) in fields of moderate stellar density (~10 stars arcmin-2). Final relative astrometric precision with MCAO is limited by atmospheric differential tip/tilt jitter.