Radial acceleration relation of elliptical galaxies in MaNGA

Abstract

The relationship between the total and baryonic acceleration of a galaxy is the Radial Acceleration Relation (RAR). Data of 88 elliptical galaxies were selected from Sloan Digital Sky Survey Data Release 18 (SDSS DR18), and the M_gas of each are specifically taken from the Mapping of Nearby Galaxies at Apache Point Observatory (MaNGA) data set. Hernquist model is used for the baryonic component of the ellipticals, as well as for the dark matter halo and in Modified Newtonian Dynamics (MOND). The RAR results of the samples are separated into high and low mass galaxies, and their M_dyn−M_bar relationship are compared. A value for the MOND acceleration constant a₀ averaged across all 88 elliptical galaxies is found to be within (1.648−3.501) × 10⁻¹⁰ m/s² when gas mass is considered.