The precision of radial-velocity determinations of solar-type stars by cross-correlation

Statistics – Computation

Scientific paper

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Cross Correlation, G Stars, Radial Velocity, Stellar Spectra, Cassegrain Optics, Computational Astrophysics, Spectrographs, Stellar Spectrophotometry

Scientific paper

The theoretical limit to the precision (defined as the inverse of the square of the random error) of a radial-velocity determination of a solar-type star obtained from the technique of digital cross-correlation is constructed as a function of simple parameters of the recording of a stellar spectrum. The relationship is used to establish conditions for maximizing the precision for a given object, exposure time, and observing instrument. Both fiber-fed and Cassegrain-mounted spectrographs are considered.

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