Improvements to photometry. Part 1: Better estimation of derivatives in extinction and transformation equations

Computer Science – Numerical Analysis

Scientific paper

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Absorption Spectra, Broadband, Earth Atmosphere, Estimates, Irradiance, Photometry, Simulation, Stars, Air, Errors

Scientific paper

Atmospheric extinction in wideband photometry is examined both analytically and through numerical simulations. If the derivatives that appear in the Stromgren-King theory are estimated carefully, it appears that wideband measurements can be transformed to outside the atmosphere with errors no greater than a millimagnitude. A numerical analysis approach is used to estimate derivatives of both the stellar and atmospheric extinction spectra, avoiding previous assumptions that the extinction follows a power law. However, it is essential to satify the requirements of the sampling theorem to keep aliasing errors small. Typically, this means that band separations cannot exceed half of the full width at half-peak response. Further work is needed to examine higher order effects, which may well be significant.

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