Sunspot Number and the Refractivity of the Air

Astronomy and Astrophysics – Astronomy

Scientific paper

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Scientific paper

IN connexion with the note by L. W. Tilton on the relation between the sunspot number and refractivity of dry air1, it is of interest to examine whether such a relation may be deduced from the astronomical observations. For this purpose we have selected twenty independent determinations of the refraction constant (μ) and reduced them to 0° C., 760 mm. pressure, 6 mm. vapour pressure (Π), ϕ = 45° and sea-level. The corresponding values of the index of air (n) as well as the relative sunspot numbers for the approximate mean epochs of the determinations of μ are shown in the Y and X axes of Fig. 1. The diagram does not show any marked dependence of index of air on sunspot number. Assuming y = ax + b, we have : a = + 0.10, b = 1.00029171, the correlation coefficient being r = + 0.15. All the above values of μ are within the limits of 60.10'' and 60.22''. The corresponding values of n are 1.0002915 and 1.0002921, the range of variation being only 6 × 10-7. The mean of n for Π = 0 mm. is 1.00029208, that given by Tilton being 1.00029237. These values agree well considering that this latter is referred to the D line while in the astronomical observations the bisections of a stellar spectrum are usually made between C and D lines.

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