Abstract

Ultra diffuse galaxies (UDGs) have the sizes of giant galaxies but the luminosities of dwarfs. A key to understanding their origins comes from their total masses, but their low surface brightnesses (μ(V)≥μ(V) \geq 25.0) generally prohibit dynamical studies. Here we report the first such measurements for a UDG (VCC~1287 in the Virgo cluster), based on its globular cluster system dynamics and size. From 7 GCs we measure a mean systemic velocity vsysv_{\rm sys} = 1071−15+14^{+14}_{-15} km/s, thereby confirming a Virgo-cluster association. We measure a velocity dispersion of 33−10+16^{+16}_{-10} km/s within 8.1 kpc, corresponding to an enclosed mass of (4.5±2.8)×109(4.5 \pm 2.8)\times10^{9} M⊙M_{\odot} and a gg-band mass-to-light ratio of (M/L)g=106−54+126(M/L)_g = 106^{+126}_{-54}. From the cumulative mass curve, along with the GC numbers, we estimate a virial mass of ∼8×1010\sim8\times10^{10} M⊙M_{\odot}, yielding a dark-to-stellar mass fraction of ∼3000\sim3000. We show that this UDG is an outlier in Mstar−MhaloM_{\rm star} - M_{\rm halo} relations, suggesting extreme stochasticity in relatively massive star-forming halos in clusters. Finally, we discuss how counting GCs offers an efficient route to determining virial masses for UDGs.

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