This paper firstly studies exact solutions to the atmospheric equations of motion in the f-plane and β-plane approximations while considering centripetal forces. The obtained solutions are shown in Lagrangian coordinates. Additionally, we derive the dispersion relations and perform a qualitative analysis of density, pressure, and vorticity.

中文翻译：

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在具有向心力的被困的背风波上


本文首先研究了 f 平面和 β 平面近似中大气运动方程的精确解，同时考虑了向心力。得到的解以拉格朗日坐标显示。此外，我们还推导出了色散关系，并对密度、压力和涡度进行了定性分析。