To the dependence of speed spray distribution of gravitational waves in the atmosphere of latitude

Introduction: Waves in the atmosphere play an important role, as they determine both the intensity of weather-forming phenomena and the speed of their movement. The truth remains the question of the reason for the excitation of planetary waves. They can be excited by processes occurring in the lower atmosphere, as well as their cause may be disturbances of the stratosphere. In any case, having formed, the planetary wave will influence the processes occurring in the troposphere. Therefore, the study of the speed of their distribution is a pressing problem in weather forecasting problems. Materials and methods: The system of equations describing the large-scale dynamics of the atmosphere is complex and cannot be solved in general. Therefore, refer to the procedure of linearization of equations. The extent to which it is valid remains open, since the waves can be non-linear and the whole variety of phenomena is determined precisely by their non-linearity. Consider the movement of dry air, described by the equation of motion of an ideal fluid in a non-inertial reference system, taking into account the rotation of the Earth: ^ + (v,V)v =_g-0V_/)₊ 2[vco_o] Results of the research: The result is a complex equation of the 4th order. Consider the limiting cases: high-frequency and low-frequency oscillations. In the case of high-frequency oscillations, we can write: ю⁴ -(2co_0z)² Яа(у_А -y)yk_z +(2w_0zf Ryk² = 0^,ю = (1 ± i) фО (^Ry^kz )^1/4 = <°r ± Щ^, ®x=4Ry^kzj^lA'Discussion and conclusion: Thus, having considered the system of equations describing the dynamics of internal gravity waves in the atmosphere, after linearization we obtained the dispersion relation. The system of equations was solved in the f-plane approximation, i.e. Coriolis parameter was considered constant. At the same time, it was believed that the density of air in the state of static atmosphere obeys the barometric law. Within the troposphere, this assumption is acceptable.

internal gravity waves, equation of motion, continuity equation, heat equation, atmospheric static, linearization procedure, dispersion relation, linear waves

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