The influence of compressibility and non-isothermality of the atmosphere on the propagation of acoustic-gravity waves

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Space and Atmospheric Physics
1Cheremnykh, OK, 1Selivanov, Yu.A, 1Zakharov, IV
1Space Research Institute of the National Academy of Sciences of Ukraine and the State Space Agency of Ukraine, Kyiv, Ukraine
Kosm. nauka tehnol. 2010, 16 ;(1):09-19
https://doi.org/10.15407/knit2010.01.009
Publication Language: Russian
Abstract: 
Using the equations for disturbances in a stratified compressible one-dimensional steady state atmosphere with the ideal gas equation of state we did not impose any requirements on temperature and stratification height profiles but use two main variables: amplitude of vertical velocity of wave disturbances on steady background and compressibility (velocity divergence). As a result, the second order ODE for vertical velocity was deduced. General dispersion relation for compressible stratified ideal atmosphere was obtained and analyzed for isothermal, polytropic and MSIS model cases of temperature height profile. The information on acoustic-gravity wave’s behavior in relation to a chosen profile of the atmosphere was derived.
Keywords: acoustic-gravity waves, stratification, velocity divergence
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