Color-magnitude diagram for {omega} Centauri

We use a combination of positional and high-quality proper motion data from EDR3 to identify over 100000 cluster members, of which 67000 are in the magnitude and color range where EDR3 parallaxes are best calibrated.

We find the estimated parallax to be robust, demonstrating good control of systematics within the color-magnitude diagram of the cluster. We find a parallax for the cluster of 0.191{+/-}0.001(statistical){+/-}0.004(systematic)mas (2.2% total uncertainty) corresponding to a distance of 5.24{+/-}0.11kpc. The parallax of {omega}Cen provides a unique opportunity to directly and geometrically calibrate the luminosity of the tip of the red giant branch (TRGB) because it is the only cluster with sufficient mass to provide enough red giant stars, more than 100 one magnitude below the tip, for a precise, model-free measurement of the tip.