The statistical analysis of a sample of the brightest cluster galaxies

Mathematics – Logic

Scientific paper

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Brightness Distribution, Galactic Clusters, Spectrum Analysis, Statistical Analysis, Astronomical Models, Cosmology, Galactic Evolution, Least Squares Method, Red Shift

Scientific paper

The least-squares best fit values of observational parameters to homogeneous Friedmann models and their 95-per cent confidence regions have been computed for the sample of 96 first-ranked cluster galaxies with redshifts 0 < z < 0.4. The effects of the evolutionary correction, photon scattering by free electrons and selective extinction by intergalactic dust on the redshift - magnitude relation have been taken into account. Constraints on the values of the deceleration parameter and cosmological constant are found which are -1.1 ⪉ q0 ⪉ 0.6 and -0.5×10-56 ⪉ Λ ⪉ 1.4×10-56cm-2, respectively, if the Hubble parameter is equal to 50 km/(s Mpc).

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