Ultra-hot Jupiter Kelt9b impels to reconsider existing models of the upper atmospheres of hot exoplanets, which were previously developed using the example of G or M star systems such as HD209458b and GJ436b. The unique conditions of interaction between the radiation of an A-class star and the atmosphere necessitate kinetic modeling of excited levels of elements, primarily the hydrogen atom. For Kelt9b, the absorption was measures for several Balmer lines and lines of a number of heavy elements, the quantitative interpretation of which is an urgent task. In this work, for the first time, 3D modeling of the atmosphere of a planet with a close location of the Roche lobe has been implemented, taking into account the aeronomy and kinetics of excited hydrogen.
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