The Palomar Transient Factory and Rr Lyrae: The Metallicity–light Curve Relation Based on Ab-Type Rr Lyrae in the Kepler Field

Ngeow, Chow-Choong; Yu, Po-Chieh; Bellm, Eric C.; Yang, T. C.; Chang, Chan-Kao; Miller, A. A.; Laher, Russ R.; Surace, J.

doi:10.3847/1538-4365/227/2/30

Cited by 14 publications

(17 citation statements)

References 48 publications

(91 reference statements)

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“…The phase parameters increase with metal-abundance at a given period in optical bands while in K-band the variation is similar for a fixed set of M-L pair. Note that the correlation of Fourier phase parameters with metallicity has resulted in several empirical P−[Fe/H]−φ 31 relations in the literature (Jurcsik & Kovacs 1996;Smolec 2005;Morgan et al 2007;Jurcsik et al 2009;Nemec et al 2013;Ngeow et al 2016).…”

Section: Theoretical Fourier Parametersmentioning

confidence: 99%

On the variation of light-curve parameters of RR Lyrae variables at multiple wavelengths

Das

Bhardwaj

Singh

et al. 2018

Monthly Notices of the Royal Astronomical Society

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We present a detailed light curve analysis of RR Lyrae variables at multiple wavelengths using Fourier decomposition method. The time-series data for RR Lyrae variables in the Galactic bulge and the Magellanic Clouds are taken from the Optical Gravitational Lensing Experiment survey while the infrared light curves are compiled from the literature. We also analyse the multiband theoretical light curves that are generated from the stellar pulsation models of RR Lyrae stars for a wide range of metal-abundances. We find that the theoretical light curve parameters with different metal abundances are consistent with observed parameters in most period bins at both optical and infrared wavelengths. The theoretical and observed Fourier amplitude parameters decrease with increase in wavelength while the Fourier phase parameters increase with wavelength at a given period. We use absolute magnitudes for a subset of theoretical models that fit the observed optical RR Lyrae light curves in the Large Magellanic Cloud to estimate a distance modulus, µ LMC = 18.51 ± 0.07, independent of the metallicity. We also use Fourier analysis to study the period-color and amplitude-color relations for RR Lyrae stars in the Magellanic Clouds using optical data and find that the slope of period-color relation at minimum light is very shallow or flat and becomes increasingly significant at the maximum light for RRab stars. We also find that the metallicity dependence of the periodcolor relations increases as we go from minimum to maximum light, suggesting that the mean light results are indeed an average of the various pulsational phases. We summarize that the average variation in these relations is consistent between theory and observations and supports the theory of the interaction of the stellar photosphere and the hydrogen ionization front.

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Section: Theoretical Fourier Parametersmentioning

confidence: 99%

On the variation of light-curve parameters of RR Lyrae variables at multiple wavelengths

Das

Bhardwaj

Singh

et al. 2018

Monthly Notices of the Royal Astronomical Society

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“…. Following Simon & Lee (1981), the Fourier parameter f 31 is either defined as Ngeow et al 2016). To be consistent with Mullen et al (2021), we adopted the sine series and n = 5 for obtaining the Fourier parameter f s 31 .…”

Section: Fourier Parameters F 31mentioning

confidence: 99%

“…Since the seminal paper of Jurcsik & Kovacs (1996), who derived the [Fe/H]-f 31 -P relation in the V band for ab-type (fundamental mode) RR Lyrae (hereafter RRab), a number of publications have derived a similar relation (some with additional parameters in such relation) in other filters, as well as for the c-type (first-overtone) RR Lyrae. These works include Sandage (2004) and Morgan et al (2007) in the V band; Smolec (2005) and Dékány et al (2021) in the I band; Watkins et al (2009), Sesar et al (2010), and Oluseyi et al (2012) in the Sloan Digital Sky Survey (SDSS) g and/or r band; Nemec et al (2011) and Nemec et al (2013) in the Kepler K p band; Ngeow et al (2016) in the R PTF band; Iorio & Belokurov (2021) in the Gaia G band; Mullen et al (2021) in the WISE W1 and W2 bands; and Wu et al (2006) for unfiltered or whitelight observations. The rms errors from these empirical relations vary from ∼0.1 dex (Nemec et al 2013) to ∼0.5 dex (in the WISE band; Mullen et al 2021).…”

Section: Introductionmentioning

confidence: 99%

Evaluating the V-band Photometric Metallicity with Fundamental Mode RR Lyrae in the Kepler Field

Ngeow¹

2022

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The aim of this work is to evaluate the performance of photometric metallicity [Fe/H], determined based on V-band light curves photometrically transformed from the gr-band light curves. We tested this by using a set of homogeneous samples of fundamental mode RR Lyrae located in the Kepler field. It was found that the color term is necessary in such photometric transformation. We demonstrated that when including the color term the determined photometric [Fe/H] are in good agreement with the spectroscopic [Fe/H], either based on the calibrated or the transformed V-band light curves. We also tested the impact of Blazhko RR Lyrae in determining the photometric [Fe/H], and found that Blazhko RR Lyrae can give consistent photometric [Fe/H]. Finally, we derived independent gVr-band [Fe/H]–ϕ 31–P relations (where ϕ 31 and P are the Fourier parameter and pulsation period, respectively) using our light curves. The V-band relation is in good agreement with the most recent determination given in the literature.

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“…Jurcsik & Kovacs (1996) quantified this relationship by finding a bilinear relation between period and a low-order Fourier phase parameter (f 31 = f 3 − 3 • f 1 ) derived in the optical for RRLs pulsating in the fundamental mode (also known as RRab). Additional works have analyzed and revised this relation for RRab (Nemec et al 2013;Martínez-Vázquez et al 2016;Smolec 2005;Ngeow et al 2016;Iorio & Belokurov 2020;Mullen et al 2021) using more modern data sets in a variety of wavelengths. In particular, Mullen et al 2021 (hereafter Paper I) obtained a new relation in the V band based on the largest RRab calibration data set to date.…”

Section: Introductionmentioning

confidence: 99%

Metallicity of Galactic RR Lyrae from Optical and Infrared Light Curves. II. Period–Fourier–Metallicity Relations for First Overtone RR Lyrae

Mullen

Marengo

Martı́nez-Vázquez

et al. 2022

ApJ

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We present new period-ϕ 31-[Fe/H] relations for first-overtone RRL stars (RRc), calibrated over a broad range of metallicities (−2.5 ≲ [Fe/H] ≲ 0.0) using the largest currently available set of Galactic halo field RRL with homogeneous spectroscopic metallicities. Our relations are defined in the optical (ASAS-SN V band) and, inaugurally, in the infrared (WISE W1 and W2 bands). Our V-band relation can reproduce individual RRc spectroscopic metallicities with a dispersion of 0.30 dex over the entire metallicity range of our calibrator sample (an rms smaller than what we found for other relations in literature including nonlinear terms). Our infrared relation has a similar dispersion in the low- and intermediate-metallicity range ([Fe/H] ≲ −0.5), but tends to underestimate the [Fe/H] abundance around solar metallicity. We tested our relations by measuring both the metallicity of the Sculptor dSph and a sample of Galactic globular clusters, rich in both RRc and RRab stars. The average metallicity we obtain for the combined RRL sample in each cluster is within ±0.08 dex of their spectroscopic metallicities. The infrared and optical relations presented in this work will enable deriving reliable photometric RRL metallicities in conditions where spectroscopic measurements are not feasible; e.g., in distant galaxies or reddened regions (observed with upcoming Extremely Large Telescopes and the James Webb Space Telescope), or in the large sample of new RRL that will be discovered in large-area time-domain photometric surveys (such as the LSST and the Roman space telescope).

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The Palomar Transient Factory and Rr Lyrae: The Metallicity–light Curve Relation Based on Ab-Type Rr Lyrae in the Kepler Field

Cited by 14 publications

References 48 publications

On the variation of light-curve parameters of RR Lyrae variables at multiple wavelengths

On the variation of light-curve parameters of RR Lyrae variables at multiple wavelengths

Evaluating the V-band Photometric Metallicity with Fundamental Mode RR Lyrae in the Kepler Field

Metallicity of Galactic RR Lyrae from Optical and Infrared Light Curves. II. Period–Fourier–Metallicity Relations for First Overtone RR Lyrae

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