Quantifying Uncertainties in the Evolution of the Solar Flux

Mathematics – Logic

Scientific paper

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Scientific paper

Understanding changes in the solar fluxover geologic timescales is essential to studies of planetary atmospheres andhow planets evolve in general. To this end, we have developed quantitativeestimates of the wavelength-dependent solar flux over time. Usingmulti-wavelength data from the Sun and solar analogs we present aparametrization of the solar flux which is nominally valid from 2-20000 nm, andfrom 0.02 through 7.1 Gyr.
The parameterization is subject to inherent uncertainties in primary measurementerror, the unknown ages of the solar proxies, and the intrinsic variability ofthe solar analogs. This poster details our procedures in quantifying the effectof these uncertainties on our estimates of the evolving solar flux. We derivedthousands of different power law fits to the observational data via a MonteCarlo simulation that spans from the X-ray to the UV. During each iteration ofthe simulation, an age for each solar analog was selected randomly from ageranges found in the literature. These ages are fit against the observationaldata, which are themselves randomized by their measurement errors and assumedintrinsic variability. We find the integrated mean error of our Monte Carlosimulations to never be in excess of 5%, with significant decreases in error atolder stellar ages. The mean absolute error on any flux value from anywavelength is never above 25%. We therefore submit our model of the solar fluxas viable for planetary atmosphere studies that are concerned with the firstorder evolution of the Sun in time. To this end, we have implemented our solarflux estimates into a model of atmospheric chemistry of early Earth, anddescribe the changes in estimates of photolysis rates for a few key atmosphericspecies.

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