Abstract — The surface oscillations of a two-layer drop of an ideal liquid are analyzed. It is shown that two different oscillation frequencies of the taken mode can exist. The effect of the main parameters of the liquids that compose the drop on the mode oscillation eigenfrequencies is analyzed. It is found that a relative decrease in the outer liquid layer thickness leads to a decrease in the eigenfrequencies of both in-phase and out-of-phase oscillations. An increase in the difference between the surface tension coefficients leads to an increase in the eigenfrequencies. Relative increase in the inner liquid density increases the eigenfrequencies of the in-phase mode and affects only slightly the eigenfrequencies of the out-of-phase mode. Simplified expressions for the dependences of the eigenfrequencies of oscillating free surface of a compound drop on parameters are obtained.

中文翻译：

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理想液体自由下落复合液滴振荡面的特征频率

摘要 — 分析了理想液体的两层液滴的表面振荡。结果表明，所取模式可以存在两种不同的振荡频率。分析了组成液滴的液体的主要参数对模式振荡特征频率的影响。发现外液层厚度的相对减小导致同相和异相振荡的特征频率减小。表面张力系数之间差异的增加导致本征频率的增加。内部液体密度的相对增加会增加同相模式的特征频率，而对异相模式的特征频率影响很小。