Astronomy & Astrophysics manuscript no. pmas_clusters_merged_arxiv_v1 c ESO 2018 June 5, 2018 The central dynamics of M3, M13, and M92: Stringent limits on the masses of intermediate-mass black holes??? S. Kamann1,2, L. Wisotzki1, M. M. Roth1, J. Gerssen1, T.-O. Husser2, C. Sandin1, and P. Weilbacher1 1 Leibniz-Institut für Astrophysik Potsdam (AIP), An der Sternwarte 16, 14482 Potsdam, Germany 2 Institut für Astrophysik, Universität Göttingen, Friedrich-Hund-Platz 1, 37077 Göttingen, Germany e-mail:
[email protected] Received / Accepted ABSTRACT We used the PMAS integral field spectrograph to obtain large sets of radial velocities in the central regions of three northern Galac- tic globular clusters: M3, M13, and M92. By applying the novel technique of crowded field 3D spectroscopy, we measured radial velocities for about 80 stars within the central ∼ 1000 of each cluster. These are by far the largest spectroscopic datasets obtained in the innermost parts of these clusters up to now. To obtain kinematical data across the whole extent of the clusters, we complement our data with measurements available in the literature. We combine our velocity measurements with surface brightness profiles to analyse the internal dynamics of each cluster using spherical Jeans models, and investigate whether our data provide evidence for an intermediate-mass black hole in any of the clusters. The surface brightness profiles reveal that all three clusters are consistent with a core profile, although shallow cusps cannot be excluded. We find that spherical Jeans models with a constant mass-to-light ratio provide a good overall representation of the kinematical data.