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We use Keck/DEIMOS spectroscopy to confirm the cluster membership of 16ultra-diffuse galaxies (UDGs) in the Coma cluster, bringing the total number ofspectroscopically con- firmed UDGs to 24. We also identify a new clusterbackground UDG. In this pilot study of Coma UDGs in velocity phase-space, wefind evidence that most present-day Coma UDGs have a recent infall epoch whilea few may be ancient infalls. These recent infall UDGs have higher absoluterelative line-of-sight velocities, bluer optical colors, and are smaller insize, unlike the ancient infalls. The kinematics of the spectroscopicallyconfirmed Coma UDG sample is similar to that of the cluster late-type galaxypopulation. Our velocity phase-space analysis suggests that present-day clusterUDGs have a predominantly accretion origin from the field, acquire velocitiescorresponding to the mass of the cluster at accretion as they are acceleratedtowards the cluster center, and become redder and bigger as they experience thevarious physical processes at work within the cluster.

Origins of ultra-diffuse galaxies in the Coma cluster - I. Constraints from velocity phase-space