Astrometry with MCAO at Gemini and at ELTs
Tobias K. Fritz, Nitya Kallivayalil, Eleazar R. Carrasco, Benoit, Neichel, Richard Davies, Rachael Beaton, Dylan Angell, Sean Linden, Paul, Zivick, Steve Majewski, Guillermo Damke, Mike Boylan-Kolchin, Roeland van der, Marel, Tony Sohn

TL;DR
This paper analyzes the astrometric error budget using MCAO with GeMS/GSAOI, demonstrating 0.3 mas precision with potential for ELTs to measure proper motions of dwarf galaxies around M31.
Contribution
It provides the first detailed analysis of astrometric errors with MCAO and discusses correction methods for systematic biases, highlighting ELTs' potential.
Findings
Achieved 0.3 mas reference precision with MCAO in 1 hour
Systematic errors can be corrected below 0.4 mas
ELTs can measure dwarf galaxy proper motions with 10 km/s accuracy
Abstract
We present in this study a first analysis of the astrometric error budget of absolute astrometry relative to background galaxies using adaptive optics. We use for this analysis multi-conjugated adaptive optics (MCAO) images obtained with GeMS/GSAOI at Gemini South. We find that it is possible to obtain 0.3 mas reference precision in a random field with 1 hour on source using faint background galaxies. Systematic errors are correctable below that level, such that the overall error is approximately 0.4 mas. Because the reference sources are extended, we find it necessary to correct for the dependency of the PSF centroid on the used aperture size, which would otherwise cause an important bias. This effect needs also to be considered for Extremely Large Telescopes (ELTs). When this effect is corrected, ELTs have the potential to measure proper motions of dwarfs galaxies around M31 with 10…
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