标题： 脉动白矮星 towards the Galactic bulge 的频率分析 显示英文标题

标题： Frequency analysis of Delta Scuti stars towards the Galactic bulge

摘要： 我们对在银河系核球方向的第四阶段光学引力透镜实验（OGLE）中检测到的10,092颗Delta Scuti型恒星进行了频率分析，这是迄今为止最庞大且同质的Delta Scuti恒星样本。主要目标是寻找同时在至少两个径向模式中脉动的恒星。我们发现了3083个此类恒星的候选者，这是目前已获得的最大集合。其中，2655颗恒星在两个径向模式中脉动，414颗恒星在三个径向模式中脉动，14颗恒星同时在四个径向模式中脉动。我们报告了221颗同时在基频、第一倍频和第三倍频中脉动的Delta Scuti恒星的识别结果。我们展示了最密集的Petersen和Bailey图，并基于这个大量样本讨论了所识别频率的统计特性。此外，我们给出了从第四到第七倍频的Delta Scuti恒星周期比的理论预测。 显示英文摘要

摘要： We have performed a frequency analysis of 10,092 Delta Scuti-type stars detected in the fourth phase of the Optical Gravitational Lensing Experiment (OGLE) towards the Galactic bulge, which is the most numerous homogeneous sample of Delta Scuti stars observed so far. The main goal was to search for stars pulsating in at least two radial modes simultaneously. We have found 3083 candidates for such stars, which is the largest set obtained to date. Among them, 2655 stars pulsate in two radial modes, 414 stars pulsate in three radial modes, and 14 stars pulsate in four radial modes at the same time. We report the identification of 221 Delta Scuti stars pulsating in the fundamental mode, first overtone, and third overtone simultaneously. We show the most populated Petersen and Bailey diagrams and discuss statistical properties of the identified frequencies based on this numerous sample. Additionally, we present theoretical predictions of period ratios for Delta Scuti stars pulsating in overtones from the fourth to the seventh.