{ "id": "1205.2693", "version": "v2", "published": "2012-05-11T20:00:00.000Z", "updated": "2016-11-30T00:36:14.000Z", "title": "The velocity dispersion and mass function of the outer halo globular cluster Palomar 4", "authors": [ "Matthias J. Frank", "Michael Hilker", "Holger Baumgardt", "Patrick Côté", "Eva K. Grebel", "Hosein Haghi", "Andreas H. W. Küpper", "S. G. Djorgovski" ], "comment": "17 pages, accepted for publication in MNRAS; Fig. 8 surface brightness/density data at github.com/matthiasjfrank/pal4_surface_brightness", "doi": "10.1111/j.1365-2966.2012.21105.x", "categories": [ "astro-ph.GA", "astro-ph.CO" ], "abstract": "We obtained precise line-of-sight radial velocities of 23 member stars of the remote halo globular cluster Palomar 4 (Pal 4) using the High Resolution Echelle Spectrograph (HIRES) at the Keck I telescope. We also measured the mass function of the cluster down to a limiting magnitude of V~28 mag using archival HST/WFPC2 imaging. We derived the cluster's surface brightness profile based on the WFPC2 data and on broad-band imaging with the Low-Resolution Imaging Spectrometer (LRIS) at the Keck II telescope. We find a mean cluster velocity of 72.55+/-0.22 km/s and a velocity dispersion of 0.87+/-0.18 km/s. The global mass function of the cluster, in the mass range 0.55<=M<=0.85 M_solar, is shallower than a Kroupa mass function and the cluster is significantly depleted in low-mass stars in its center compared to its outskirts. Since the relaxation time of Pal 4 is of the order of a Hubble time, this points to primordial mass segregation in this cluster. Extrapolating the measured mass function towards lower-mass stars and including the contribution of compact remnants, we derive a total cluster mass of 29800 M_solar. For this mass, the measured velocity dispersion is consistent with the expectations of Newtonian dynamics and below the prediction of Modified Newtonian Dynamics (MOND). Pal 4 adds to the growing body of evidence that the dynamics of star clusters in the outer Galactic halo can hardly be explained by MOND.", "revisions": [ { "version": "v1", "updated": "2012-05-11T20:00:00.000Z", "comment": "17 pages, accepted for publication in MNRAS", "journal": null, "doi": null }, { "version": "v2", "updated": "2016-11-30T00:36:14.000Z" } ], "analyses": { "keywords": [ "outer halo globular cluster palomar", "mass function", "velocity dispersion", "remote halo globular cluster palomar", "precise line-of-sight radial velocities" ], "tags": [ "journal article", "github project" ], "publication": { "doi": "10.1111/j.1365-2966.2012.21105.x", "journal": "J. Finance", "year": 2012, "month": "Jul", "volume": 423, "number": 3, "pages": 2917, "publisher": "Wiley-Blackwell" }, "note": { "typesetting": "TeX", "pages": 17, "language": "en", "license": "arXiv", "status": "editable", "inspire": 1114397, "adsabs": "2012MNRAS.423.2917F" } } }