Velocity Dispersion ${\sigma }_{\mathrm{aper}}$ Aperture Corrections as a Function of Galaxy Properties from Integral-field Stellar Kinematics of 10,000 MaNGA Galaxies

Abstract

The second moment of the stellar velocity within the effective radius, denoted by ${\sigma }_{\mathrm{e}}^2$, is a crucial quantity in galaxy studies as it provides insight into galaxy properties and their mass distributions. However, large spectroscopic surveys typically do not measure ${\sigma }_{\mathrm{e}}$ directly, instead providing ${\sigma }_{\mathrm{aper}}$, the second moment of the stellar velocity within a fixed fiber aperture. In this paper, we derive an empirical aperture correction formula, given by ${\sigma }_{\mathrm{aper}}/{\sigma }_{\mathrm{e}}=(R_{\mathrm{aper}}/R_{\mathrm{e}}{)}^{\alpha }$, using spatially resolved stellar kinematics extracted from approximately 10,000 Sloan Digital Sky Survey-Mapping Nearby Galaxies at Apache Point Observatory (SDSS-MaNGA) integral field unit observations. Our analysis reveals a strong dependence of $\alpha$ on the $r$-band absolute magnitude $M_{\mathrm{r}}$, $g-i$ color, and Sersic index $n_{\mathrm{Ser}}$, where $\alpha$ values are lower for brighter, redder galaxies with higher Sersic indices. Our results demonstrate that the aperture correction derived from previous literature on early-type galaxies cannot be applied to predict the aperture corrections for galaxies with intermediate Sersic indices. We provide a lookup table of $\alpha$ values for different galaxy types, with parameters in the ranges of $-18>M_{\mathrm{r}}>-24$, $0.4<g-i<1.6$, and $0<n_{\mathrm{Ser}}<8$. A Python script is provided to obtain the correction factors from the lookup table.

arXiv comment12 pages, 10 figures, 1 table, published in Research in Astronomy and Astrophysics

References in corpus (30)

• The 2.5 m Telescope of the Sloan Digital Sky Survey
• Parametric Recovery of Line-of-Sight Velocity Distributions from Absorption-Line Spectra of Galaxies via Penalized Likelihood
• Overview of the SDSS-IV MaNGA Survey: Mapping Nearby Galaxies at Apache Point Observatory
• MILES: A Medium resolution INT Library of Empirical Spectra
• The Eighth Data Release of the Sloan Digital Sky Survey: First Data from SDSS-III
• Improving the full spectrum fitting method: accurate convolution with Gauss-Hermite functions
• Adaptive spatial binning of integral-field spectroscopic data using Voronoi tessellations
• CALIFA, the Calar Alto Legacy Integral Field Area survey: I. Survey presentation
• The SAURON project - IV. The mass-to-light ratio, the virial mass estimator and the fundamental plane of elliptical and lenticular galaxies
• The Multi-Object, Fiber-Fed Spectrographs for SDSS and the Baryon Oscillation Spectroscopic Survey
• An updated MILES stellar library and stellar population models
• The Atlas3D project - XV. Benchmark for early-type galaxies scaling relations from 260 dynamical models: mass-to-light ratio, dark matter, Fundamental Plane and Mass Plane
• The Sloan Lens ACS Survey. X. Stellar, Dynamical, and Total Mass Correlations of Massive Early-type Galaxies
• The SAURON project. II. Sample and early results
• Structure and Kinematics of Early-Type Galaxies from Integral-Field Spectroscopy
• The SAMI Galaxy Survey: instrument specification and target selection
• The MaNGA Integral Field Unit Fiber Feed System for the Sloan 2.5 m Telescope
• The Data Reduction Pipeline for the SDSS-IV MaNGA IFU Galaxy Survey
• The SDSS-IV MaNGA Sample: Design, Optimization, and Usage Considerations
• The Data Analysis Pipeline for the SDSS-IV MaNGA IFU Galaxy Survey: Overview
• SDSS-IV/MaNGA: Spectrophotometric Calibration Technique
• Spatially resolved spectroscopy of Coma cluster early -- type galaxies: III. The stellar population gradients
• The Data Analysis Pipeline for the SDSS-IV MaNGA IFU Galaxy Survey: Emission-Line Modeling
• Stellar kinematics across the Hubble sequence in the CALIFA survey: General properties and aperture corrections
• SDSS-IV MaNGA: Global stellar population and gradients for about 2000 early-type and spiral galaxies on the mass-size plane
• SDSS-IV DR17: Final Release of MaNGA PyMorph Photometric and Deep Learning Morphological Catalogs
• Efficient solution of the anisotropic spherically-aligned axisymmetric Jeans equations of stellar hydrodynamics for galactic dynamics
• Assessing the effect of lens mass model in cosmological application with updated galaxy-scale strong gravitational lensing sample
• MaNGA DynPop -- I. Quality-assessed stellar dynamical modelling from integral-field spectroscopy of 10K nearby galaxies: a catalogue of masses, mass-to-light ratios, density profiles and dark matter
• The Fundamental Plane in the LEGA-C Survey: unraveling the $M/L$ variations of massive star-forming and quiescent galaxies at $z\sim 0.8$

Cited by in corpus (3)

• MaNGA DynPop. VII. A Unified Bulge-Disk-Halo Model for Explaining Diversity in Circular Velocity Curves of 6000 Spiral and Early-Type Galaxies
• Investigating the Redshift Evolution of Lensing Galaxy Density Slopes via Model-Independent Distance Ratios
• The catalogue of virtual early-type galaxies from IllustrisTNG: validation and real observation consistency