Statistical correction of projection of radio-sources on the sky and application to the apparent size-redshift and linear size-line width relations

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Big Bang Cosmology, Error Correcting Codes, Extragalactic Radio Sources, Quasars, Red Shift, Spectral Line Width, H Beta Line, Inclination, Size Distribution, Statistical Correlation

Scientific paper

The acquisition of information on the projection angle of double radio sources in the plane of the sky is demonstrated using the component size/largest angular size ratio, under the hypothesis that it is a characteristic parameter without significant dispersion. Face-on values are used to make a new analysis of the H-beta line width-linear size and largest angular size-redshift relations. A strong correlation is found between the H-beta half width at quarter maximum and the face-on linear sizes for double radio quasars, whose zero point coincides with compact sources. The largest angular size-redshift diagram is shown to be in agreement with certain Friedmann model predictions, after allowing for a previously unnoticed correction factor called for by the fact that the size of radio sources cannot be considered in the terms of a rigid rod.

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