Limits on the Position Wander of Sgr A*
Mark J. Reid, Avery E. Broderick, Abraham Loeb, Mareki Honma, Andreas, Brunthaler

TL;DR
This study measures the positional variability of Sgr A* at 7-mm wavelength to test hot-spot models, constraining hot spots with larger orbital radii and higher flux contributions, while supporting the model's overall viability.
Contribution
First VLBA measurements of Sgr A* centroid wander at 7-mm, providing constraints on hot-spot models and informing accretion flow inhomogeneity theories.
Findings
Centroid wander averages 71-113 micro-arcsec over 50-200 min.
Hot spots with orbital radii above 15GM_SgrA*/c^2 and >30% flux are ruled out.
Hot-spot model remains consistent with observed variability.
Abstract
We present measurements with the VLBA of the variability in the centroid position of Sgr A* relative to a background quasar at 7-mm wavelength. We find an average centroid wander of 71 +/- 45 micro-arcsec for time scales between 50 and 100 min and 113 +/- 50 micro-arcsec for timescales between 100 and 200 min, with no secular trend. These are sufficient to begin constraining the viability of the hot-spot model for the radio variability of Sgr A*. It is possible to rule out hot spots with orbital radii above 15GM_SgrA*/c^2 that contribute more than 30% of the total 7-mm flux. However, closer or less luminous hot spots remain unconstrained. Since the fractional variability of Sgr A* during our observations was ~20% on time scales of hours, the hot-spot model for Sgr A*'s radio variability remains consistent with these limits. Improved monitoring of Sgr A*'s centroid position has the…
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