Abstract
Within the simplified one-dimensional aerodynamic model, periodic temperature oscillations are described for a column of compressible atmosphere unlimited from above. When obtaining the model, two conditions for the equilibrium of the air column are used: the classical condition of hydrostatics and the second - the absence of movement due to changes in the density of the atmosphere over time. The obtained analytical and numerical solutions satisfy two boundary conditions near a solid surface: the value of a quantity (pressure, density, or temperature) and its gradient. Solutions for adiabatic temperature, pressure, and density show a non-stationary pulsating solution, in which the column temperature periodically increases indefinitely at the moment of pulsation and then decreases. The physical interpretation of these solutions is discussed and compared with the data of paleoclimatic studies. The results of the study improve the understanding of ongoing periodic processes and pulsations in the atmosphere and can be used for scientific and educational purposes.
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