Derivation of Jeans empirical rule and its applicability.

Physics

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Planetary Atmospheres

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From the static equation of an atmosphere, the equation of state for ideal gases, the law of gravitation and the Maxwell distribution law, the Jeans empirical rule is derived. Applicability of the Jeans empirical rule is mainly determined by the mean density of the planet. It is shown to be applicable for all the known planets and satellites in the solar system.

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