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An application of projected distance cross-correlation for Abell clusters

  • J. Hollosi
  • G. Efstathiou
III Clusters of Galaxies
  • 176 Downloads
Part of the Lecture Notes in Physics book series (LNP, volume 310)

Abstract

A new method is applied for the estimation of the spatial two-point correlation function of Abell clusters. This method is based on the projected distance cross-correlation function W SA between the Struble and Rood catalogue and the Abell catalogue. The σ-correlation function is determined, the best fit is W SA (σ) = σ SA /σ, where σ SA = 2.3Mpc. The spatial cross-correlation function can be derived from W SA (σ) by an integral transformation. In our case, we obtain ζ SA (r) = (r/r SA )-γ, where γ = 1.88 and r SA = 40 Mpc. A further normalization, based on a comparison of angular correlations, is needed to obtain the autocorrelation function since the Struble and Rood catalogue is not a fair subsample of the Abell catalogue. Thus we get ζ AA (r) ≈ (r/r AA )−γ, where γ = 1.88 and r AA = 33 Mpc. We note that the estimation is very sensitive to the estimated distance limits of the Abell catalogue. This result agrees well with ζ AA (r) = (r/30 Mpc)−2 obtained from the Limber equation.

Keywords

Angular Correlation Distance Class Distance Limit Extinction Curve Spatial Correlation Function 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. Abell, G.O., 1958. Astrophys. J. Suppl., 3, 211.CrossRefGoogle Scholar
  2. Bahcall, N.A., Soneira, R.M., 1983. Astrophys. J., 270, 20.CrossRefGoogle Scholar
  3. Lilje, P.B., Efstathiou, G., 1987. Mon. Not. R. astr. Soc., 231, 635.Google Scholar
  4. Peebles, P.J.E., 1977. Astrophys. J., 215, 703.CrossRefGoogle Scholar
  5. Seldner, M., Peebles, P.J.E., 1977. Astrophys. J., 215, 703.CrossRefGoogle Scholar
  6. Struble, M.F., Rood, H.J., 1987. Astrophys. J. Suppl., 63, 543.CrossRefGoogle Scholar

Copyright information

© Springer-Verlag 1988

Authors and Affiliations

  • J. Hollosi
    • 1
    • 2
  • G. Efstathiou
    • 3
  1. 1.Space Telescope Science InstituteBaltimoreUSA
  2. 2.Roland Eotvos UniversityBudapestHungary
  3. 3.Institute of AstronomyCambridgeUK

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