Analytic models of planetary atmospheres - Power-of-radius and other functions for structure and content

Mathematics

Scientific paper

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Planetary Atmospheres, Ideal Gas, Mathematical Models, Atmospheric Density, Superposition (Mathematics), Approximation

Scientific paper

An investigation is conducted of a particular, infinite set of solutions of the barometric equation, in the expectation that one kind of solution may be both comparatively simple and possessed of fewer shortcomings than the standard exponential models. These considerations establish the suitability of a power-law solution as a basic element for the representation of various atmospheric structures by a superposition of model densities. Attention is given to power-of-radius and exponential types of solutions of the barometric equation.

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