MONDian dynamical modeling of NGC 288 with $\beta \ne 0$

Abstract

NGC 288 is a diffuse Galactic globular cluster, it is remarkable in that its low density results in internal accelerations being below the critical MOND $a_0$ acceleration throughout. This makes it an ideal testing ground for MONDian gravity, as the details of the largely unknown transition function between the Newtonian and modified regimes become unimportant. Further, exact analytical solutions exist for isothermal spherical equilibrium structures in MOND, allowing for arbitrary values of the anisotropy parameter, $\beta$. In this paper we use observations of the velocity dispersion profile of NGC 288, which is in fact isothermal, as dynamical constraints on MONDian models for this cluster, where the remaining free parameters are adjusted to fit the observed surface brightness profile. We find the optimal fit requires $\beta =0$, an isotropic solution with a total mass of $3.5\pm 1.1\times 10^4{M}_{\odot }$.

arXiv comment7 Pages, 7 Figures, Accepted for Publication in MNRAS

References in corpus (25)

• Extended Theories of Gravity
• Relativistic gravitation theory for the MOND paradigm
• Resolved Massive Star Clusters in the Milky Way and its Satellites: Brightness Profiles and a Catalogue of Fundamental Parameters
• Formation of Galactic Nuclei
• Models of Galaxies with Central Black Holes: Adiabatic Growth in Spherical Galaxies
• Peculiarities in Velocity Dispersion and Surface Density Profiles of Star Clusters
• Halo globular clusters observed with AAOmega: dark matter content, metallicity and tidal heating
• The Dynamical Fingerprint of Core Scouring in Massive Elliptical Galaxies
• Measuring Consistent Masses for 25 Milky Way Globular Clusters
• Dissolution is the solution: on the reduced mass-to-light ratios of Galactic globular clusters
• The Gaia-ESO Survey: Kinematics of seven Galactic globular clusters
• The photometric evolution of star clusters and the preferential loss of low-mass bodies - with an application to globular clusters
• Using globular clusters to test gravity in the weak acceleration regime
• Testing fundamental physics with distant star clusters: theoretical models for pressure-supported stellar systems
• The outskirts of globular clusters as modified gravity probes
• Using globular clusters to test gravity in the weak acceleration regime: NGC 7099
• A natural approach to extended Newtonian gravity: tests and predictions across astrophysical scales
• Hubble Space Telescope proper motion (HSTPROMO) catalogs of Galactic globular clusters. IV. Kinematic profiles and average masses of blue straggler stars
• Globular clusters in modified Newtonian dynamics: velocity-dispersion profiles from self-consistent models
• Flattened velocity dispersion profiles in Globular Clusters: Newtonian tides or modified gravity?
• Gravitational lensing with $f(\chi )={\chi }^{3/2}$ gravity in accordance with astrophysical observations
• NGC 2419 does not challenge MOND
• Searching in the dark: the dark mass content of the Milky Way globular clusters NGC288 and NGC6218
• The dynamical phase transitions of stellar systems and the corresponding kinetimacs
• Application of three-body stability to globular clusters: II. Observed velocity dispersions

Cited by in corpus (8)

• MIKiS: the Multi-Instrument Kinematic Survey of Galactic Globular Clusters. I. Velocity dispersion profiles and rotation signals of 11 globular clusters
• Testing Modified Gravity Theories via Wide Binaries and GAIA
• A Test of MONDian Gravity in $\sim$300 pressure supported elliptical galaxies from the MaNGA survey
• Approaching the Dark Sector through a bounding curvature criterion
• Asymptotic kinematics of Globular Clusters: the emergence of a Tully-Fisher relation
• Imprint of the galactic acceleration scale on globular cluster systems
• MONDian predictions for Newtonian M/L ratios for ultrafaint dSphs
• Central MONDian spike in spherically symmetric systems