Bulletin of Taras Shevchenko National University of Kyiv. Astronomy, no. 53, p. 15-24 (2016)

Multipole Analysis of the velocity field of the 2MFGC GALAXIES

Ju.N. Kudrya, Ph.D.
Astronomical observatory of Taras Shevchenko National University of Kyiv

Abstract
Using previously published (VizieR On-line Data Catalog: J/other/Ap/49.450, 03/2011) individual pecular velocities and distances for 2724 galaxies from 2MFGC catalog, multipole analysis of the velocity field was carried out based on relativistic geodesic oсtupole model. Significances of the tensor components of the model in our statistical material were found to be rather low, and they are subject of significant fluctuations depending on the depth of the sample. Therefore a simplification of the model was carried out discarding the least significant tensor components, and this was done separately for the four samples (total sample of 2724 galaxies and its three subsamples with the depth values of 10000 km/s, 8000 km/s and 6000 km/s). Taking into account the significant correlation between the dipole and the quadratic dipole, quadrupole and quadratic quadrupole, it was defined optimal models, which are the same for all subsamples, with maximum number of significant tensor components, in which there is a correct estimation of certain multipoles. All our dipole determinations are in an agreement with ΛCDM cosmological model. Quadrupole structure in all cases was close to that corresponding to agglomeration of matter in two perpendicular directions. The comparison of our high mulpipoles determinations with the results in other studies was conducted.

Keywords
Multipole analysis

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