Observations of radio lines from unresolved sources - Telescope coupling, Doppler effects, and cosmological corrections

Statistics – Computation

Scientific paper

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Cosmology, Doppler Effect, Radio Spectra, Universe, Computational Astrophysics, Galactic Cosmic Rays, Spectral Line Width

Scientific paper

In this paper we develop equations for expressing the line flux density and luminosity of radio spectral lines from unresolved sources in telescope-independent, astrophysical units when observed with filled-aperture telescopes, and for correcting calculated source luminosities for cosmological effects in a matter-dominated Friedmann universe. We provide a test to determine whether the cosmological corrections are necessary, as well as expressions for converting observations of extragalactic CO(1-0) lines into M(H2). We show how to change these expressions to accommodate the various kinds of software used for spectral reduction at radio observations. We recommend a system for transforming the frequency widths of the spectrometer channels into velocities that should closely approximate the physical velocities associated with a distant object. Finally, we show how to convert the special antenna temperatures produced by millimeter-wave telescopes into traditional units of antenna temperature.

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