The finite Fourier transform definition of an edge on the solar disk

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Atmospheric Effects, Fourier Transformation, Instrument Errors, Limb Darkening, Mathematical Models, Solar Limb, Gauss Equation, Graphs (Charts), Hermitian Polynomial, Integral Equations, Taylor Series, Transfer Functions

Scientific paper

A technique for locating the edge of the sun is proposed. The technique uses a finite Fourier transform of the observed limb-darkening function to achieve reduced sensitivity to atmospheric and instrumental effects and heightened sensitivity to the shape of the intrinsic limb-darkening function. A theory is developed that predicts these sensitivities. In order to facilitate wider application, general relations are calculated. A testing program which complements the theory is also reported. The location of the edge is shown to be influenced only by solar phenomena down to the milli-arcsecond range.

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