Stephans Quintet (SQ) is a compact group of galaxies that exhibits numerous signs of interactions between its members. Using high resolution images of SQ in B438, V606, and I814 bands from the Early Release Science project obtained with the Wide Field Camera 3 on the Hubble Space Telescope, we identify 496 star cluster candidates (SCCs), located throughout the galaxies themselves as well as in intergalactic regions. Our photometry goes sim2 mag deeper and covers an additional three regions, the Old Tail, NGC 7317, and the Southern Debris Region, compared to previous work. Through comparison of the B438 - V606 and V606 - I814 colors of the star cluster candidates with simple stellar population synthesis models we are able to constrain cluster ages. In particular, the most massive galaxy of SQ, NGC 7319, exhibits continuous star formation throughout its history, although at a lower rate over the past few tens of Myr. NGC 7318 A/B and the Northern Star Burst region both show ongoing active star formation; there are a number of star clusters that are younger than 10 Myr. NGC 7318 A/B also features a peculiar gap in the color distribution of the star clusters that can be used to date the onset of the recent burst. The majority of the SCCs detected in the Young Tail were formed 150-200 Myr ago whereas the tight distribution of star cluster colors in the Old Tail, allow us to constrain its age of formation to sim400 Myr ago. The star clusters in the Southern Debris region are seemingly divided into two groups with ages of 50 and sim500 Myr and virtually all of the SCCs detected in NGC 7317 are over 2 Gyr old. Based on these ages, we estimate time intervals for the interactions between SQ members that triggered the massive star cluster formation.
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