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arXiv · 2307.12251

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

Kai Zhu·Ran Li·Xiaoyue Cao·Shengdong Lu·Michele Cappellari·Shude Mao
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Abstract

The second moment of the stellar velocity within the effective radius, denoted by $σ_{\rm e}^2$, 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 $σ_{\rm e}$ directly, instead providing $σ_{\rm aper}$, the second moment of the stellar velocity within a fixed fiber aperture. In this paper, we derive an empirical aperture correction formula, given by $σ_{\rm aper}/σ_{\rm e}=(R_{\rm aper}/R_{\rm e})^α$, 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 $α$ on the $r$-band absolute magnitude $M_{\rm r}$, $g-i$ color, and Sersic index $n_{\rm Ser}$, where $α$ 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 $α$ values for different galaxy types, with parameters in the ranges of $-18>M_{\rm r}>-24$, $0.4<g-i<1.6$, and $0<n_{\rm Ser}<8$. A Python script is provided to obtain the correction factors from the lookup table.

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Kai Zhu, Ran Li, Xiaoyue Cao, Shengdong Lu, Michele Cappellari, Shude Mao. 2023-07-23. Velocity Dispersion $σ_{\rm aper}$ Aperture Corrections as a Function of Galaxy Properties from Integral-field Stellar Kinematics of 10,000 MaNGA Galaxies. https://doi.org/10.1088/1674-4527%2Facd58a

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