Most galaxies with a well-structured bulge host a supermassive black hole ( SMBH ) in their centre .
Stellar kinematics models applied to adaptive optics ( AO ) assisted integral field unit observations are well-suited to measure the SMBH mass ( M _ { BH } ) and also the total mass-to-light ratio [ ( M / L ) _ { TOT } ] and possible anisotropies in the stellar velocity distribution in the central region of galaxies .
In this work , we used new AO assisted Near-Infrared Integral Field Spectrometer ( NIFS ) observations and also photometric data from the Hubble Space Telescope Legacy Archive of the galaxy NGC 4546 in order to determine its SMBH mass .
To do this , we applied the Jeans Anisotropic Modelling ( JAM ) method to fit the average second velocity moment in the line of sight ( \overline { v ^ { 2 } _ { los } } ) of the stellar structure .
In addition , we also obtained ( M / L ) _ { TOT } and the classical anisotropy parameter \beta _ { z } =1– ( \sigma _ { z } / \sigma _ { R } ) ^ { 2 } for this object within a field of view of 200 \times 200 pc ^ { 2 } .
Maps of the stellar radial velocity and of the velocity dispersion were built for this galaxy using the penalized pixel fitting ( ppxf ) technique .
We applied the Multi Gaussian Expansion procedure to fit the stellar brightness distribution .
Using JAM , the best-fitting model for \overline { v ^ { 2 } _ { los } } of the stellar structure was obtained with ( M / L ) _ { TOT } = 4.34 \pm 0.07 ( Johnson ’ s R band ) , M _ { BH } = ( 2.56 \pm 0.16 ) \times 10 ^ { 8 } M _ { \odot } and \beta _ { z } = –0.015 \pm 0.03 ( 3 \sigma confidence level ) .
With these results , we found that NGC 4546 follows the M _ { BH } \times \sigma relation .
We also measured the central velocity dispersion within a radius of 1 arcsec of this object as \sigma _ { c } = 241 \pm 2 km s ^ { -1 } .