Frequency Analysis of KIC 1573174: Shedding Light on the Nature of HADS Stars

We propose that KIC 1573174 is a quadruple-mode $\delta$ Scuti star with pulsation amplitudes between those of the HADS (high-amplitude Delta star) group and average low-amplitude pulsators. The radial modes detected in this provide unique opportunity to exploit asteroseismic techniques up their limits. Detailed frequency analysis given for light curve from Kepler mission. variation dominated by strongest mode F0 = 7.3975 $\rm{d^{-1}}$, as shown Fourier long cadence data (Q1-Q17, spanning 1460 days), indicating target star. other three independent F1 9.4397 d$^{-1}$, F2 12.1225 d$^{-1}$ F3 14.3577 have ratios $P_{1}$ / $P_{0}$, $P_{2}$ $P_{0}$ $P_{3}$ estimated 0.783, 0.610 0.515, which indicate A different approach has been used determine $O-C$ through study phase modulation. change period $(1/P)~dP/dt$ obtained resulting $-1.14 \times 10^{-6}~\text{yr}^{-1}$ $-4.48 respectively. Based on parameters (i.e., F0, F1, F2, F3), series theoretical models were conducted employing stellar evolution code MESA. ratio observed $f_{1}/f_{2}$ larger than model, may be caused rotation suggest high-resolution spectral observation highly desired future further constrain models.