UDK 53
UDK 520
UDK 521
UDK 523
UDK 524
UDK 52-1
UDK 52-6
GRNTI 41.00
GRNTI 29.35
GRNTI 29.31
GRNTI 29.33
GRNTI 29.27
GRNTI 29.05
OKSO 03.06.01
OKSO 03.05.01
OKSO 03.04.03
BBK 2
BBK 223
TBK 614
TBK 6135
BISAC SCI004000 Astronomy
BISAC SCI005000 Physics / Astrophysics
We have studied the relationships between the basic properties of 172 groups and clusters of galaxies based on archival data from the SDSS, 2MASX, and NED catalogs. The measured parameters ($\log R_e$, $\langle \log I_e \rangle $ and $\log \sigma$ of the clusters of galaxies determine the fundamental plane (FP) in the near infrared: $\log R_e=0.98(\pm0.06)\,\log \sigma-0.56(\pm0.04)\langle \log \langle I_e \rangle \rangle+3.57(\pm0.07)$, which can be used to determine the distances of the galaxy systems. The root-mean-square deviation of the FP zero-point is 0.07, which corresponds to an error of 16% in determining the distance of the group or cluster of galaxies. For the first time we have measured the peculiar velocities of the superclusters of galaxies. The mean peculiar velocity of the 5 superclusters of galaxies relative to the CMB is $+75\pm360$ km/s.
galaxies: groups and clusters: distances and redshifts; cosmology: large-scale structure of universe
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