Determination of cosmological parameters by the data on anisotropy of cosmic microwave background

Abstract

This paper is devoted to the analysis of correspondence between predictions of inflationary cosmological model with mixed dark matter, arbitrary space curvature and data of modern experiments for measurements of cosmic microwave background anisotropy (CMB). Inflationary scenario for large-scale structure formation predicts power spectrum of CMB angular fluctuations in the form of sequence of power amplifications (acoustic peaks).Therefore statistically robust identification of such peculiarity in the observed spectrum on the scale about one degree confirms the inflationary theory and gives a possibility to put constraints on the cosmological parameters. Using the observational data on CMB anisotropy, the position lp and the amplitude of such peak Ap were determined. From these results along with constraints on baryon content from primordial nucleosynthesis theory [4], Supernovae I-a observations data [21] and Hubble constant measurements [25], [17] the following conclusion was made: space curvature is negligible,the slope of primordial power spectrum of density fluctuations is close to unity, content of matter in general density is 30%.