Separating the causes of O–C variations in an RR Lyrae star with the Blazhko effect - The case of V1109 Cas

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Table 1.

Result of the fit with 30 frequencies to the V data.

Frequency	Freq.	Amp. ± 0.001	Phase Φ_i/2π
	(c/d)	(mag)
f₀	2.2925357	0.438	0.820 ± 0.001
2f₀	4.5850714	0.191	0.998 ± 0.001
3f₀	6.8776070	0.099	0.206 ± 0.002
4f₀	9.1701430	0.047	0.423 ± 0.005
5f₀	11.462679	0.019	0.631 ± 0.011
6f₀	13.755215	0.007	0.769 ± 0.034
7f₀	16.047750	0.004	0.904 ± 0.057
8f₀	18.340286	0.003	0.944 ± 0.075
9f₀	20.632822	0.003	0.114 ± 0.062
10f₀	22.925350	0.002	0.316 ± 0.114
11f₀	25.2178933	0.002	0.542 ± 0.109
12f₀	27.5104291	0.001	0.709 ± 0.213
13f₀	29.8029648	0.001	0.020 ± 0.229
14f₀	32.0955006	0.001	0.905 ± 0.587
15f₀	34.3880363	0.001	0.275 ± 0.311
f₀ + f_B	2.297830	0.079	0.107 ± 0.003
2f₀ + f_B	4.590365	0.064	0.248 ± 0.005
3f₀ + f_B	6.882901	0.054	0.452 ± 0.005
4f₀ + f_B	9.175437	0.039	0.699 ± 0.009
5f₀ + f_B	11.467973	0.025	0.932 ± 0.016
6f₀ + f_B	13.760508	0.014	0.139 ± 0.023
f₀ − f_B	2.287241	0.060	0.533 ± 0.020
2f₀ − f_B	4.579777	0.058	0.834 ± 0.004
3f₀ − f_B	6.872313	0.046	0.183 ± 0.004
4f₀ − f_B	9.164848	0.030	0.355 ± 0.005
5f₀ − f_B	11.457384	0.018	0.577 ± 0.008
6f₀ − f_B	13.749920	0.011	0.803 ± 0.012
f_B	0.005294	0.011	0.834 ± 0.003

Notes. We note that the fit contains two independent frequencies, f₀ = 2.2925357 ± 0.0000003 c/d and f₀ + f_B = 2.297830 ± 0.000002 c/d, yielding a Blazhko frequency of f_B = 0.005294 ± 0.000001 c/d or a Blazhko period of P_B = 188.89 ± 0.07 days.

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