Period-luminosity and period-luminosity-metallicity relations for Galactic RR Lyrae stars in the Sloan bands

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Volume 689 (September 2024)

A&A, 689 (2024) A138

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Table 2.

Determined PL and PW relations for Galactic RR Lyr stars of type RRab and RRc, as well as for the combined population.

Band	Type	a_λ	b_λ	rms	N	a_λ	b_λ	rms	N
		(Parallax):				(Geometric distances):
g	RRab	−2.242 ± 0.376	0.805 ± 0.031	0.18	38	−2.162 ± 0.382	0.802 ± 0.031	0.18	38
	RRc	−1.984 ± 0.760	0.605 ± 0.062	0.11	7	−1.983 ± 0.746	0.604 ± 0.061	0.11	7
	RRab+RRc	−1.500 ± 0.368	0.773 ± 0.034	0.21	45	−1.448 ± 0.368	0.771 ± 0.034	0.21	45

r	RRab	−2.528 ± 0.300	0.660 ± 0.025	0.14	38	−2.447 ± 0.308	0.657 ± 0.025	0.15	38
	RRc	−2.266 ± 0.705	0.557 ± 0.058	0.10	7	−2.266 ± 0.694	0.556 ± 0.057	0.10	7
	RRab+RRc	−1.929 ± 0.296	0.634 ± 0.028	0.17	45	−1.878 ± 0.297	0.633 ± 0.028	0.17	45

i	RRab	−2.799 ± 0.296	0.642 ± 0.022	0.13	38	−2.718 ± 0.278	0.639 ± 0.023	0.13	38
	RRc	−2.393 ± 0.647	0.598 ± 0.053	0.10	7	−2.392 ± 0.637	0.597 ± 0.052	0.09	7
	RRab+RRc	−2.249 ± 0.266	0.619 ± 0.025	0.15	45	−2.197 ± 0.267	0.618 ± 0.025	0.15	45

$W_{r}^{ri}$ $W_{r}^{ri}$	RRab	−3.626 ± 0.218	0.587 ± 0.018	0.11	38	−3.546 ± 0.229	0.584 ± 0.019	0.11	38
	RRc	−2.780 ± 0.515	0.723 ± 0.042	0.08	7	−2.779 ± 0.508	0.722 ± 0.042	0.08	7
	RRab+RRc	−3.226 ± 0.202	0.574 ± 0.019	0.12	45	−3.174 ± 0.206	0.572 ± 0.019	0.12	45

$W_{g}^{gr}$ $W^{gr}_{g}$	RRab	−3.357 ± 0.231	0.239 ± 0.019	0.11	38	−3.277 ± 0.237	0.237 ± 0.019	0.11	38
	RRc	−3.086 ± 0.643	0.415 ± 0.053	0.10	7	−3.085 ± 0.644	0.414 ± 0.053	0.10	7
	RRab+RRc	−3.175 ± 0.195	0.232 ± 0.018	0.11	45	−3.123 ± 0.198	0.231 ± 0.018	0.11	45

$W_{g}^{gi}$ $W_{g}^{gi}$	RRab	−3.508 ± 0.202	0.434 ± 0.016	0.10	38	−3.427 ± 0.211	0.432 ± 0.017	0.10	38
	RRc	−2.914 ± 0.545	0.588 ± 0.045	0.08	7	−2.913 ± 0.542	0.587 ± 0.044	0.08	7
	RRab+RRc	−3.157 ± 0.182	0.424 ± 0.015	0.09	45	−3.151 ± 0.185	0.423 ± 0.017	0.11	45

	(ABL method):				(Photo-geometric distances):

g	RRab	−2.318 ± 0.373	0.810 ± 0.032	0.18	38	−2.179 ± 0.382	0.803 ± 0.031	0.18	38
	RRc	−1.862 ± 0.737	0.615 ± 0.066	0.11	7	−2.035 ± 0.743	0.607 ± 0.061	0.11	7
	RRab+RRc	−1.506 ± 0.372	0.783 ± 0.037	0.21	45	−1.462 ± 0.367	0.771 ± 0.034	0.21	45

r	RRab	−2.594 ± 0.297	0.663 ± 0.026	0.14	38	−2.465 ± 0.309	0.658 ± 0.025	0.15	38
	RRc	−2.143 ± 0.679	0.566 ± 0.061	0.10	7	−2.317 ± 0.693	0.558 ± 0.057	0.10	7
	RRab+RRc	−1.918 ± 0.300	0.641 ± 0.030	0.17	45	−1.891 ± 0.296	0.633 ± 0.028	0.17	45

i	RRab	−2.870 ± 0.269	0.644 ± 0.023	0.13	38	−2.736 ± 0.279	0.640 ± 0.023	0.13	38
	RRc	−2.280 ± 0.621	0.606 ± 0.056	0.10	7	−2.444 ± 0.634	0.599 ± 0.052	0.09	7
	RRab+RRc	−2.230 ± 0.272	0.626 ± 0.027	0.15	45	−2.211 ± 0.265	0.618 ± 0.025	0.15	45

$W_{r}^{ri}$ $W_{r}^{ri}$	RRab	−3.700 ± 0.227	0.587 ± 0.020	0.11	38	−3.563 ± 0.232	0.584 ± 0.019	0.11	38
	RRc	−2.707 ± 0.483	0.729 ± 0.045	0.08	7	−2.830 ± 0.500	0.725 ± 0.041	0.07	7
	RRab+RRc	−3.171 ± 0.215	0.580 ± 0.022	0.12	45	−3.185 ± 0.208	0.572 ± 0.019	0.12	45

$W_{g}^{gr}$ $W^{gr}_{g}$	RRab	−3.395 ± 0.237	0.241 ± 0.021	0.11	38	−3.294 ± 0.243	0.237 ± 0.020	0.12	38
	RRc	−2.977 ± 0.602	0.423 ± 0.056	0.10	7	−3.137 ± 0.650	0.416 ± 0.053	0.10	7
	RRab+RRc	−3.146 ± 0.198	0.237 ± 0.021	0.11	45	−3.083 ± 0.182	0.225 ± 0.017	0.10	44

$W_{g}^{gi}$ $W_{g}^{gi}$	RRab	−3.561 ± 0.205	0.435 ± 0.018	0.10	38	−3.445 ± 0.216	0.432 ± 0.018	0.10	38
	RRc	−2.827 ± 0.513	0.594 ± 0.048	0.08	7	−2.965 ± 0.540	0.590 ± 0.044	0.08	7
	RRab+RRc	−3.127 ± 0.166	0.422 ± 0.017	0.09	45	−3.114 ± 0.169	0.417 ± 0.016	0.10	44

Notes. Band: the Pan-STARRS g_P1r_P1i_P1 bands and Wesenheit indicates constructed based on them using reddening vectors from Green et al. (2019); type: variability type of RR Lyr star; a_λ: slope of the fit; b_λ: zero point of the fit; rms: root mean square of derived relations; N: number of stars used for fitting. The logarithm of the pivot period used for fitting was log P₀ = −0.25 for RRab and RRab+RRc stars, and log P₀ = −0.45 for RRc type stars. Fundamentalization according to Iben (1974): log P_ab = log P_c + 0.127.

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