A double-modulation effect detected in a double-mode high-amplitude $delta$ Scuti star: KIC 10284901. (arXiv:1905.08931v1 [astro-ph.SR])
<a href="http://arxiv.org/find/astro-ph/1/au:+Yang_T/0/1/0/all/0/1">Tao-Zhi Yang</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Esamdin_A/0/1/0/all/0/1">Ali Esamdin</a> (XAO/UCAS)

In this paper, we present an analysis of the pulsating behaviour of $Kepler$
target KIC 10284901. The Fourier transform of the high-precision light curve
reveals 7 independent frequencies for its light variations. Among them, the
first two frequencies are main pulsation modes: F0 = 18.994054(1) $rm{d^{-1}}$
and F1 = 24.335804(4) $rm{d^{-1}}$, the ratio of F0/F1 = 0.7805 classify this
star as a double-mode high-amplitude $delta$ Scuti (HADS) star; another two
frequencies $f_{m1}$ = 0.4407 d$^{-1}$ and $f_{m2}$ = 0.8125 d$^{-1}$ are
detected directly, and the modulations of $f_{m1}$ and $f_{m2}$ to F0 and F1
modes (seen as quintuplet structures centred on these two modes in the
frequency spectrum) are also found. This is the first detection of a
double-modulation effect in the HADS stars. The features of the frequency
pattern and the ratio ($f_{m1}$/$f_{m2}$ $approx$ 1:2) as well as the cyclic
variation of amplitude of the two dominate pulsation modes, which seem to be
similar to that in Blazhko RR Lyrae stars, indicate this modulation might be
related to the Blazhko effect. The preliminary analysis suggests that KIC
10284901 is in the bottom of the HADS instability strip and situated in the
main sequence.

In this paper, we present an analysis of the pulsating behaviour of $Kepler$
target KIC 10284901. The Fourier transform of the high-precision light curve
reveals 7 independent frequencies for its light variations. Among them, the
first two frequencies are main pulsation modes: F0 = 18.994054(1) $rm{d^{-1}}$
and F1 = 24.335804(4) $rm{d^{-1}}$, the ratio of F0/F1 = 0.7805 classify this
star as a double-mode high-amplitude $delta$ Scuti (HADS) star; another two
frequencies $f_{m1}$ = 0.4407 d$^{-1}$ and $f_{m2}$ = 0.8125 d$^{-1}$ are
detected directly, and the modulations of $f_{m1}$ and $f_{m2}$ to F0 and F1
modes (seen as quintuplet structures centred on these two modes in the
frequency spectrum) are also found. This is the first detection of a
double-modulation effect in the HADS stars. The features of the frequency
pattern and the ratio ($f_{m1}$/$f_{m2}$ $approx$ 1:2) as well as the cyclic
variation of amplitude of the two dominate pulsation modes, which seem to be
similar to that in Blazhko RR Lyrae stars, indicate this modulation might be
related to the Blazhko effect. The preliminary analysis suggests that KIC
10284901 is in the bottom of the HADS instability strip and situated in the
main sequence.

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