The Dynamical Mass-to-Light Ratio Profile and Distance of the Globular Cluster M15

We construct orbit-based axisymmetric dynamical models for the globular cluster M15 that fit ground-based line-of-sight velocities and Hubble Space Telescope line-of-sight velocities and proper motions. This allows us to constrain the variation of the mass-to-light ratio M/L as a function of radius in the cluster and to measure the distance and inclination of the cluster. We obtain a best-fitting inclination of 60° ± 15°, a dynamical distance of 10.3 ± 0.4 kpc, and an M/L profile with a central peak. The inferred mass in the central 0.05 pc is 3400 M☉, implying a central density of at least 7.4 × 106 M☉ pc-3. We cannot distinguish the nature of the central mass concentration. It could be an intermediate mass black hole, or it could be a large number of compact objects, or it could be a combination. The central 4'' of M15 appears to contain a rapidly spinning core, and we speculate on its origin.

[1]  E. Verolme,et al.  The dynamical distance and intrinsic structure of the globular cluster ω Centauri , 2005, astro-ph/0509228.

[2]  P. University,et al.  The fingerprint of binary intermediate‐mass black holes in globular clusters: suprathermal stars and angular momentum alignment , 2005, astro-ph/0506405.

[3]  L. Pulone,et al.  The global mass function of M 15 , 2004, astro-ph/0407553.

[4]  R. Spurzem,et al.  Dynamical evolution of rotating stellar systems – III. The effect of the mass spectrum , 2004, astro-ph/0402478.

[5]  T. Harrison,et al.  The Dynamical Distance to M15: Estimates of the Cluster’s Age and Mass and of the Absolute Magnitude of Its RR Lyrae Stars , 2004 .

[6]  P. Martini,et al.  Coevolution of Black Holes and Galaxies , 2004 .

[7]  Bernard J. McNamara,et al.  Does M15 Possess an Intermediate-Mass Black Hole in Its Core? , 2003 .

[8]  P. Seitzer,et al.  Addendum: “The Dynamics of M15: Observations of the Velocity Dispersion Profile and Fokker-Planck Models” (ApJ, 481, 267 [1997]) , 2002, astro-ph/0210588.

[9]  J. Gerssen,et al.  Addendum: Hubble Space Telescope Evidence for an Intermediate-Mass Black Hole in the Globular Cluster M15. II. Kinematic Analysis and Dynamical Modeling [Astron. J. 124, 3270 (2002)] , 2002, astro-ph/0210158.

[10]  J. Makino,et al.  On the Central Structure of M15 , 2002, astro-ph/0210133.

[11]  Puragra Guhathakurta,et al.  Hubble Space Telescope Evidence for an Intermediate-Mass Black Hole in the Globular Cluster M15. I. STIS Spectroscopy and WFPC2 Photometry , 2002, astro-ph/0209314.

[12]  J. Gerssen,et al.  Hubble Space Telescope Evidence for an Intermediate-Mass Black Hole in the Globular Cluster M15. II. Kinematic Analysis and Dynamical Modeling , 2002, astro-ph/0209315.

[13]  M. Cappellari Efficient multi-Gaussian expansion of galaxies , 2002, astro-ph/0201430.

[14]  M. Cappellari,et al.  A SAURON study of M32: measuring the intrinsic flattening and the central black hole mass , 2002 .

[15]  S. Rappaport,et al.  Submitted to ApJ Preprint typeset using L ATEX style emulateapj v. 21/08/00 A COMPREHENSIVE STUDY OF NEUTRON STAR RETENTION IN GLOBULAR CLUSTERS , 2001 .

[16]  K. Gebhardt,et al.  Canada-France-Hawaii Telescope Adaptive Optics Observations of the Central Kinematics in M15 , 1999, astro-ph/9912172.

[17]  Terrence M. Girard,et al.  Space Velocities of Globular Clusters. III. Cluster Orbits and Halo Substructure , 1999 .

[18]  U. Michigan,et al.  Global Kinematics of the Globular Cluster M15 , 1997, astro-ph/9711059.

[19]  M. Odenkirchen,et al.  Globular cluster orbits based on Hipparcos proper motions , 1997 .

[20]  California Institute of Technology,et al.  The Pulsar kick velocity distribution , 1997, astro-ph/9708071.

[21]  Haldan N. Cohn,et al.  The Dynamics of M15: Observations of the Velocity Dispersion Profile and Fokker-Planck Models , 1997 .

[22]  I. King,et al.  Deep HST/FOC Imaging of the Central Density Cusp of the Globular Cluster M15 , 1997, astro-ph/9701030.

[23]  P. Stetson,et al.  Fabry-Perot Observations of Globular Clusters.III.M15 , 1996, astro-ph/9612116.

[24]  William E. Harris,et al.  A Catalog of Parameters for Globular Clusters in the Milky Way , 1996 .

[25]  Puragra Guhathakurta,et al.  Globular Cluster Photometry With the Hubble Space Telescope. V. WFPC Study of M15's Central density Cusp , 1995, astro-ph/9512015.

[26]  M. Irwin,et al.  Absolute proper motions and Galactic orbits of M 5, M 12 and M 15 from Schmidt plates , 1996 .

[27]  N. Silbermann,et al.  The RR Lyrae variable stars in the globular cluster M15 , 1995 .

[28]  K. Gebhardt,et al.  Fabry-Perot observations of globular clusters. II. 47 TUC, NGC 6397, and M30 , 1995 .

[29]  P. D. Zeeuw,et al.  Observable properties of the power-law galaxies. , 1994 .

[30]  K. Gebhardt,et al.  Fabry-Perot measurements of the dynamics of globular cluster cores: M15 (NGC 7078) , 1994, astro-ph/9402064.

[31]  K. Cudworth,et al.  Proper Motions and Radial Velocities in the Globular Cluster M22 and the Cluster Distance , 1994 .

[32]  M. Odenkirchen,et al.  Absolute Proper Motion and Space Motion of the Globular Cluster M15 , 1993 .

[33]  W. Harris,et al.  A color-magnitude study of the globular cluster M15 , 1993 .

[34]  K. Cudworth,et al.  Space velocities of 14 globular clusters , 1993 .

[35]  Georges Meylan,et al.  Structure and dynamics of globular clusters , 1993 .

[36]  T. Lauer,et al.  The postcollapse core of M15 imaged with the HST planetary camera , 1991 .

[37]  P. Seitzer,et al.  The nonthermal stellar dynamics of the globular cluster M15 , 1989 .

[38]  Raymond E. White,et al.  Axial Ratios and Orientations for 100 Galactic Globular Star Clusters , 1987 .

[39]  M. Schwarzschild,et al.  A numerical model for a triaxial stellar system in dynamical equilibrium , 1979 .