Spectral Index-Flux Density Relation for Quasars

Astronomy and Astrophysics – Astronomy

Scientific paper

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Scientific paper

THE relation between the mean spectral indices α of extragalactic radio sources and their flux densities S(S~v-a) at a frequency of 178 MHz has been obtained from data on the flux densities of all radio sources from the revised 3C catalogue at galactic latitudes |b| >= 10° at four frequencies: 86, 178, 750 and 1,400 MHz, measured by the P. N. Lebedev Physical Institute1, at the University of Cambridge2 and at the National Radio Astronomy Observatory3. The analysis assumes a linear relation between the spectral index and the logarithm of the flux densities at 178 MHz. For each of the 247 radio sources, five relations were considered of the form where k corresponds to the different combinations of frequencies from which the spectral index αk was determined, that is: α1=α86-178 α2=α178-750 α3=α750-1,400 α4=α86-750 α5=α86-1,400 The bar in equation (1) means the average over all the radio sources.

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