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Power law relating 10.7 cm flux to sunspot number

2009/12/31 by Robert W. Johnson · 1 citation
Physics and Astronomy · #Cosmology and Gravitation Theories #Historical Astronomy and Related Studies #Solar and Space Plasma Dynamics #astro-ph.SR

paper · pdf · doi:10.1007/s10509-010-0500-1

published as Astrophys.Space Sci.332:73-79,2011 · 7 pages, 4 tables, 4 figures, major revision, final version. Accepted for publication in Astrophysics & Space Science

arxiv created 2010/09/28 · openalex publication_date 2010/10/22 · arxiv updated 2011/02/09 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/29

Abstract

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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