On blackbody behavior and the transformation from instrumental to standard magnitudes and color indices

Mathematics

Scientific paper

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Black Body Radiation, Stellar Color, Stellar Magnitude, Transformations (Mathematics), Astronomical Photometry, Error Analysis, Spatial Distribution, Spectrophotometry, Standards, Stellar Temperature

Scientific paper

Results of a first-order error analysis in the application of standard transformation techniques connecting instrumental to standard magnitude/color-index systems are presented. Terms for departures from blackbody behavior and departures of the latter from the Wien approximation are derived. A best case is taken in the sense that confoundment by interstellar reddening or reflection from planetary surfaces is omitted, as well as the effects of finite spatial bandwidth. It is shown that aliasing errors can be approximately but not rigorously avoided. The justification of the efficacy of using a filter pair of slightly displaced bandpasses, one pair for each standard magnitude, as advocated by Manfroid (1985) based on suggestions by Young (1974), is investigated. The result is advocacy of the only existing technique that can reliably transform instrumental values to existing multicolor photometry systems with proper accuracy.

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