As mixed with real pulsations, the reflection of super-Nyquist frequencies (SNFs) pose a threat to asteroseismic properties. Although SNFs have been studied in several pulsating stars, a systematic survey remains scarcely to be explored. Here we propose a method to identify SNFs from Kepler and TESS photometry by characterizing their periodic frequency modulations using a sliding Fourier transform. After analyzing long cadence photometry in the Kepler legacy, we have identified 304 SNFs in 56 stars from 45607 frequencies in ~600 {gamma} Doradus stars, corresponding to a fraction of approximately 0.67% and 9.2%, respectively. Most SNFs are detected in the frequency range of pressure mode over 120{mu}Hz and the fraction of SNF detection increases as frequency up to ~7%. We barely found two potential SNFs mixed with gravity modes in two {gamma} Doradus stars. These findings indicate that SNFs have a negligible impact on global seismic properties, such as those derived from period spacing in {gamma} Doradus stars. However, we stress that SNFs must be carefully and systematically examined by this method in other pulsating stars, particularly {delta} Scuti and hot B subdwarf stars, to establish a solid foundation for precise asteroseismolgy of various types of pulsators.
Cone search capability for table J/A+A/693/A63/table2 (All 304 identified SNFs in 56 gamma Dor stars)