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Table 1

Period-radius relations from the literature.

Reference Method Expression Valid For
Fernie (1984) BW, compilation 1.240±0.022 + 0.589±0.022 log P MW
Moffett & Barnes (1987) BW, p cst, SBCR 1.110±0.033 + 0.740±0.035 log P MW
Moffett & Barnes (1987) BW, p var, SBCR 1.131±0.033 + 0.734±0.034 log P MW
Rojo Arellano & Arellano Ferro (1994) BW, SBCR 1.125±0.030 + 0.744±0.030 log P MW
di Benedetto (1994) BW, SBCR 1.139±0.010 + 0.716±0.010 log P LMC
Laney & Stobie (1995) BW, SBCR indep. 1.821±0.008 + 0.751±0.026(log P − 1) MW
Gieren et al. (1999) BW, SBCR 1.146±0.025 + 0.680±0.017 log P MW, LMC, SMC
Turner & Burke (2002) BW, SBCR indep. 1.071±0.025 + 0.747±0.028 log P MW
Kervella et al. (2004a) BW, SBCR indep. 1.091±0.011 + 0.767±0.009 log P MW
Groenewegen (2007) BW, SBCR indep. 1.134±0.034 + 0.686±0.036 log P MW
Groenewegen (2013) BW, SBCR 1.136±0.014 + 0.651±0.012 log P MW, LMC, SMC
Gallenne et al. (2017) BW, SBCR 1.489±0.002 + 0.684±0.007(log P − 0.517) MW, LMC, SMC
Trahin et al. (2021) BW, SBCR 1.763±0.003 + 0.653±0.012(log P − 0.9) MW
This work BW, SBCR indep. 1.133±0.044 + 0.688±0.038 log P MW
Caccin et al. (1981) CORS, wo. ΔB 1.177±0.058 + 0.654±0.052 log P MW
Sollazzo et al. (1981) CORS, w ΔB 1.167±0.024 + 0.700±0.020 log P MW
Ripepi et al. (1996) CORS, w. ΔB 1.263±0.033 + 0.606±0.037 log P MW
Ripepi et al. (1996) CORS, wo. ΔB 1.226±0.026 + 0.622±0.029 log P MW
Ruoppo et al. (2004) CORS, wo. ΔB 1.18±0.08 + 0.69±0.09 log P MW
Ruoppo et al. (2004) CORS, w ΔB 1.19±0.09 + 0.74±0.11 log P MW
Molinaro et al. (2012a) CORS, w ΔB 1.10±0.03 + 0.75±0.02 log P MW
Karp (1975) Th 1.07 + 0.72 log P MW
Cogan (1978) Th 1.17 + 0.70 log P MW
Fernie (1984) Th 1.179±0.006 + 0.692±0.006 log P MW
Bono et al. (1998) Th, canonical 1.188±0.008 + 0.655±0.006 log P MW
Bono et al. (1998) Th, non canonical 1.174±0.009 + 0.647±0.006 log P MW
Bono et al. (1998) Th, canonical 1.192±0.009 + 0.666±0.007 log P LMC
Bono et al. (1998) Th, non canonical 1.183±0.009 + 0.653±0.006 log P LMC
Bono et al. (1998) Th, canonical 1.199±0.010 + 0.670±0.008 log P SMC
Bono et al. (1998) Th, non canonical 1.183±0.009 + 0.661±0.006 log P SMC
Alibert et al. (1999) Th 1.143 + 0.714 log P MW
Alibert et al. (1999) Th 1.142 + 0.717 log P LMC
Alibert et al. (1999) Th 1.129 + 0.709 log P SMC
Petroni et al. (2003) Th 1.191±0.006 + 0.654±0.005 log P MW
De Somma et al. (2020) Th, canonical 1.142±0.004 + 0.702±0.003 log P MW
De Somma et al. (2020) Th, non canonical 1.128±0.005 + 0.685±0.003 log P MW
De Somma et al. (2022) Th, canonical 1.153±0.006 + 0.703±0.005 log P LMC
De Somma et al. (2022) Th, non canonical 1.137±0.006 + 0.690±0.004 log P LMC
De Somma et al. (2022) Th, canonical 1.146±0.007 + 0.703±0.005 log P SMC
De Somma et al. (2022) Th, non canonical 1.131±0.007 + 0.690±0.005 log P SMC

Notes. The expressions are in terms of log(R/R⊙). For some of the relations, the errors on the coefficients are not indicated in the original paper. All PR relations listed here were derived for fundamental classical Cepheids.

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