2018MNRAS.473..412B

Query : 2018MNRAS.473..412B

2018MNRAS.473..412B - Mon. Not. R. Astron. Soc., 473, 412-418 (2018/January-1)

On the connection between almost periodic functions and Blazhko light curves.

BENKO J.M.

Abstract (from CDS):

In this paper, it is shown that the mathematical form that most precisely describes the Blazhko RR Lyrae light curves is connected to almost periodic functions and not to the mathematics of modulation. That is, the Blazhko effect is more than a simple external modulation of the pulsation signal. The mathematical framework of almost periodic functions predicts a new observable effect: a shift of the Fourier harmonics of the main pulsation frequency from the exact harmonic position. This phenomenon is called the harmonic detuning effect (HDE). The published deviations of the harmonics of V445 Lyr are explained by this effect. The HDE is also found for V2178 Cyg, which is another Blazhko star observed by the Kepler space telescope. The HDE is detectable only if the phase variation part of the Blazhko effect is of large amplitude and non-periodic enough and, additionally, if the time-span of the observed light curve is sufficiently long for obtaining precise frequencies. These three conditions restrict the number of stars showing detectable HDE and explain why this effect has not been discovered up to now.

Abstract Copyright: © 2017 The Author Published by Oxford University Press on behalf of the Royal Astronomical Society

Journal keyword(s): methods: analytical - methods: data analysis - space vehicles - stars: oscillations - stars: variables: RR Lyrae - stars: variables: RR Lyrae

Simbad objects: 37

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Number of rows : 37
N Identifier Otype ICRS (J2000)
RA 		ICRS (J2000)
DEC 		Mag U Mag B Mag V Mag R Mag I Sp type #ref
1850 - 2026 		#notes
1 V* CM UMa RR* 09 43 13.7813465448 +49 29 37.714369488   13.657 13.250 13.098   ~ 23 0
2 V* V346 Lyr RR* 18 46 08.6396466960 +44 23 14.059561704           ~ 26 0
3 ATO J281.8641+42.8313 RR* 18 47 27.3961991352 +42 49 52.803806700           ~ 19 0
4 V* V350 Lyr RR* 18 49 08.3623722840 +46 11 54.943897272           ~ 32 0
5 V* V349 Lyr RR* 18 49 24.4116649272 +42 44 46.085762364           ~ 24 0
6 ASAS J185038+4125.4 RR* 18 50 37.7334984120 +41 25 25.681203192     13.501 13.80 12.871 F2II 32 0
7 V* V353 Lyr RR* 18 52 01.8397887072 +45 18 31.542789636           ~ 26 0
8 V* V354 Lyr RR* 18 52 50.3556721536 +41 33 49.358051388     15.99 16.61   ~ 37 0
9 V* V355 Lyr RR* 18 53 25.9146310764 +43 09 16.416252994     14.437 14.70 13.855 ~ 44 0
10 V* V445 Lyr RR* 18 58 25.6944987672 +41 35 49.188746868   15.3       ~ 36 0
11 V* AW Dra RR* 19 00 48.0013274784 +50 05 31.167317832     12.901 13.18 12.334 ~ 40 0
12 ROTSE1 J190058.77+484441.5 RR* 19 00 58.7783167176 +48 44 42.311590512   11.94 11.40 11.63 11.254 F2V 41 0
13 V* V360 Lyr RR* 19 01 58.6389312552 +46 26 45.637097856       16.71   ~ 34 0
14 V* NQ Lyr RR* 19 07 48.3789719592 +42 17 54.718230948     13.086 13.72 12.475 ~ 43 0
15 V* NR Lyr RR* 19 08 27.2318445648 +38 48 46.127810592     12.373   11.673 ~ 66 0
16 V* V450 Lyr RR* 19 09 36.6322966296 +43 21 49.964734332   14.3       ~ 32 0
17 V* V366 Lyr RR* 19 09 40.6387671336 +46 17 18.042449748       16.40   ~ 28 0
18 V* FN Lyr RR* 19 10 22.2539128968 +42 27 31.628959848   11.50 12.731 12.86 12.095 ~ 71 0
19 2MASS J19102676+4233375 RR* 19 10 26.7692571672 +42 33 37.471655916           ~ 21 0
20 V* V368 Lyr RR* 19 10 53.4047424096 +43 24 54.979759836       16.43   ~ 26 0
21 V* V838 Cyg RR* 19 14 03.9014923536 +48 11 58.574477832   14.496 14.195 13.908 13.836 ~ 41 0
22 V* V1104 Cyg RR* 19 18 00.4918937064 +50 45 17.809657164       14.84   ~ 35 0
23 V* V1107 Cyg RR* 19 19 45.2776223424 +47 06 04.433761440       15.81   ~ 27 0
24 V* V2470 Cyg RR* 19 19 57.9644604792 +46 53 21.290399736   13.4 13.573 13.57 12.980 F3V 38 0
25 V* V839 Cyg RR* 19 20 18.8851938528 +47 07 48.506835288           ~ 21 0
26 ASAS J192325+4231.7 RR* 19 23 24.5291764200 +42 31 42.384062028     13.142   12.498 ~ 33 0
27 V* V894 Cyg RR* 19 33 00.9069375768 +46 14 22.883269020     12.794 13.28 12.136 B9III 63 0
28 ATO J294.5798+46.4630 RR* 19 38 19.1575816176 +46 27 46.890779760           ~ 21 0
29 V* V2178 Cyg RR* 19 40 06.9659960856 +38 58 20.350436016       14.83   ~ 30 0
30 ATO J295.3333+46.3912 RR* 19 41 20.0048192904 +46 23 28.650894576   16.931 16.285 15.886   ~ 23 0
31 V* V715 Cyg RR* 19 42 08.0020461024 +38 54 42.323968404           ~ 27 0
32 V* V808 Cyg RR* 19 45 39.0254743584 +39 30 53.482428324       15.01   ~ 35 0
33 V* V782 Cyg RR* 19 51 16.9951458816 +40 26 45.201759180       15.17   ~ 28 0
34 V* V783 Cyg RR* 19 52 52.7373773616 +40 47 35.480927868       14.70   ~ 43 0
35 V* V784 Cyg RR* 19 56 22.9049438808 +41 20 23.425772784       15.67   ~ 31 0
36 ATO J299.7044+46.8491 RR* 19 58 49.0688272128 +46 50 56.787520488           ~ 12 0
37 V* V1510 Cyg RR* 19 59 50.6704801848 +43 42 15.553040904       14.67   ~ 30 0

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