The light curve model fitting of Large Magellanic Cloud Cepheids: MESA-RSP versus Stellingwerf’s code predictions

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Volume 705 (January 2026)

A&A, 705 (2026) A186

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Table 2.

Comparison of the relations derived in this work with R19.

Types of Relation	Mode	This work			R19

		Slope	Intercept	RMS	Slope	Intercept	RMS
Mass-luminosity	FU	3.538 ± 0.308	1.049 ± 0.037	0.123	–	–	–
	FO	2.960 ± 0.350	1.253 ± 0.037	0.097	–	–	–
	FU+FO	3.369 ± 0.283	1.093 ± 0.035	0.147	–	–	–

Period-radius	FU	0.693 ± 0.013	1.110 ± 0.005	0.017	–	–	–
	FO	0.749 ± 0.026	1.216 ± 0.007	0.018	–	–	–
	FU+FO	0.636 ± 0.035	1.199 ± 0.014	0.062	0.70 ± 0.02	1.12 ± 0.01	0.03

PL (V-band)	FU	−2.618 ± 0.112	−1.451 ± 0.107	0.162	−2.63 ± 0.11	−1.54 ± 0.11	0.16
	FO	−3.012 ± 0.179	−1.903 ± 0.094	0.144	−3.10 ± 0.16	−1.95 ± 0.09	0.13

PL (I-band)	FU	−2.898 ± 0.096	−1.863 ± 0.092	0.139	−2.93 ± 0.11	−1.95 ± 0.10	0.15
	FO	−3.268 ± 0.158	−2.341 ± 0.083	0.127	−3.38 ± 0.15	−2.38 ± 0.08	0.12

PL (K_s-band)	FU	−3.277 ± 0.068	−2.410 ± 0.066	0.099	−3.30 ± 0.09	−2.43 ± 0.09	0.13
	FO	−3.572 ± 0.138	−2.921 ± 0.072	0.111	−3.70 ± 0.14	−2.90 ± 0.07	0.11

PW (W_VI)	FU	−3.333 ± 0.082	−2.500 ± 0.079	0.119	−3.39 ± 0.10	−2.58 ± 0.09	0.14
	FO	−3.665 ± 0.130	−3.020 ± 0.068	0.104	−3.83 ± 0.13	−3.06 ± 0.07	0.11

PW (W_{VK_s})	FU	−3.363 ± 0.066	−2.534 ± 0.063	0.096	−3.39 ± 0.09	−2.55 ± 0.09	0.13
	FO	−3.644 ± 0.134	−3.053 ± 0.070	0.108	−3.78 ± 0.13	−3.02 ± 0.07	0.11

Period-Mass-Radius	FU	$log P = - 0.680 log \frac{M}{M_{⊙}} + 1.726 log \frac{R}{R_{⊙}} - 1.626$ $\log P = -0.680\log \frac{M}{M_{\odot}} + 1.726\log \frac{R}{R_{\odot}} - 1.626$			–
		RMS = 0.007
	FO	$log P = - 0.648 log \frac{M}{M_{⊙}} + 1.666 log \frac{R}{R_{⊙}} - 1.707$ $\log P = -0.648\log \frac{M}{M_{\odot}} + 1.666\log \frac{R}{R_{\odot}} - 1.707$			–
		RMS = 0.001
	FU+FO	$log P = - 1.612 log \frac{M}{M_{⊙}} + 2.180 log \frac{R}{R_{⊙}} - 1.809$ $\log P = -1.612\log \frac{M}{M_{\odot}} + 2.180\log \frac{R}{R_{\odot}} - 1.809$			$log P = - 0.68 log \frac{M}{M_{⊙}} + 1.72 log \frac{R}{R_{⊙}} - 1.618$ $\log P = -0.68\log \frac{M}{M_{\odot}} + 1.72\log \frac{R}{R_{\odot}} - 1.618$
		RMS = 0.058			RMS = 0.005

Notes. “FU” and “FO” denote the fundamental and first-overtone pulsation modes of Cepheids, respectively.

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