Misc,

Global climate by Rossby number in the Solar system planets

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(2019)cite arxiv:1905.03626Comment: 2 figs.
DOI: 10.1016/j.newast.2019.04.001

Abstract

On the largest scales, planetary climates can be described by their Rossby number (Ro). Ro is in response to $Gr/Re^2$ , where Gr is the Grashof number and Re is the Reynolds number. We here simplify $Gr/Re^2$ as h, where $h=H/H_Earth$ with $H=gP/(2V_e)$ for a planet with surface gravity g, rotation period P and equatorial velocity Ve. Unlike h, Ro is difficult to obtain because of a large diversity in observation. We perform on an in-depth literature search on average (av) and maximum (mx) wind velocity for each planet in the Solar system by various observational methods and by altitude. We explore a correlation between Ro and h expressed as a power law with index $\alpha$ based on wind velocities of planets in the Solar system. We obtain a correlation between Ro and h with $\alpha=0.56$ (av) and $\alpha=0.52$ (mx). Earth's $H=H_Earth$ ($h=1$) is primarily due to lunar tidal interaction, given our relatively distant habitable zone (HZ) to the Sun. Our positive correlation, therefore, suggests exoplanet-moon systems as the `go-to-place' in our searches for potentially advanced life in exosolar system.

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