A theoretical problem on linear stationary disturbances introduced by spatial inhomogeneities of gravity field into the background geostrophic flow of the stratified rotating medium (atmosphere) is considered. For the first time, the three-dimensional analytical model is considered. Our results imply that inhomogeneities of the gravity field can lead to ordered perturbations of the velocity field of atmospheric currents in large areas. Our three-dimensional model allows us to understand and analyse some of the simplest mechanisms and patterns of generation of such disturbances and to make some estimates. The amplitude of the disturbances for the velocity horizontal components can reach values of the order of buoyancy frequency multiplied by the amplitude of deviations of the geoid. This result agrees with the estimates obtained previously for a substantially different disturbances mechanism caused by gravity field inhomogeneities.

中文翻译：

---

受重力场不均匀性影响的地转流扰动：3D 分析模型

考虑了重力场的空间不均匀性将线性静止扰动引入分层旋转介质（大气）的背景地转流的理论问题。首次考虑了三维分析模型。我们的结果意味着重力场的不均匀性会导致大面积大气流速度场的有序扰动。我们的三维模型使我们能够理解和分析产生此类干扰的一些最简单的机制和模式，并进行一些估计。速度水平分量的扰动幅度可以达到浮力频率乘以大地水准面偏差幅度的数量级。