Gravity-Darkened Seasons: Insolation Around Rapid Rotators
John P. Ahlers

TL;DR
This paper models how rapid stellar rotation causes gravity-darkening, leading to significant variations in a planet's insolation and UV exposure depending on orbital inclination, with implications for planetary climate and habitability.
Contribution
It introduces a model of insolation variations caused by gravity-darkening in rapid rotators, highlighting the impact on planetary temperature and radiation exposure.
Findings
Planet equilibrium temperature can vary by up to 15%.
UV radiation exposure can change by approximately 80%.
Gravity-darkening effects are significant for planets orbiting rapid rotators.
Abstract
I model the effect of rapid stellar rotation on a planet's insolation. Fast-rotating stars have induced pole-to-equator temperature gradients (known as gravity-darkening) of up to several thousand Kelvin that affect the star's luminosity and peak emission wavelength as a function of latitude. When orbiting such a star, a planet's annual insolation can strongly vary depending on its orbit inclination. Specifically, inclined orbits result in temporary exposure to the star's hotter poles. I find that gravity-darkening can drive changes in a planet's equilibrium temperature of up to due to increased irradiance near the stellar poles. This effect can also vary a planet's exposure to UV radiation by up to throughout its orbit as it is exposed to an irradiance spectrum corresponding to different stellar effective temperatures over time.
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