Power law relating 10.7 cm flux to sunspot number

Details Power law relating 10.7 cm flux to sunspot number Power law relating 10.7 cm flux to sunspot number

2009-12-26

arxiv.org/abs/0912.5042v2

Astrophys.Space Sci.332:73-79,2011

Astronomy and Astrophysics

Astrophysics

Solar and Stellar Astrophysics

7 pages, 4 tables, 4 figures, major revision, final version. Accepted for publication in Astrophysics & Space Science

Scientific paper

10.1007/s10509-010-0500-1

To investigate the relation between observations of the 10.7 cm flux and the international sunspot number so that a physical unit may be ascribed to historical records, both polynomial and power law models are developed giving the radio flux as a function of sunspot number and vice versa. Bayesian data analysis is used to estimate the model parameters and to discriminate between the models. The effect on the parameter uncertainty and on the relative evidence of normalizing the measure of fit is investigated. The power law giving flux as a function of sunspot number is found to be the most plausible model and may be used to estimate the radio flux from historical sunspot observations.

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