Three-point correlations of Abell clusters

  • G. Toth
  • J. Hollosi
  • A. S. Szalay
III Clusters of Galaxies
Part of the Lecture Notes in Physics book series (LNP, volume 310)


We estimate the irreducible three-point correlations of Abell clusters using all distance class 5+6 clusters with latitude |b II | ≥ 40c. We find that these clusters satisfy a relation between the two- and three-point correlation functions:
$$\zeta \left( {r, s, u} \right) \approx Q\left( {\xi \left( r \right)\xi \left( s \right) + \xi \left( s \right) + \xi \left( u \right) + \xi \left( u \right)\xi \left( r \right)} \right)$$
similar to that for galaxies. The value of Q has large uncertainties:
$$Q = 0.9 \pm 0.5,$$
with a strong discrepancy between the northern and southern hemispheres, Q north ≈ 0.3, while Q south ≈ 1.71. Higher order terms seem to be absent in ς. Several error estimation methods are applied.


Correlation Function Angular Correlation Function Error Estimation Method Abell Cluster Extinction 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.


  1. Abell, G.O., 1958. Astrophys. J. Suppl., 3, 211.CrossRefGoogle Scholar
  2. Bardeen, J.R., Bond, J.R., Kaiser, N., Szalay, A.S., 1986. Astrophys. J., 304, 15.CrossRefGoogle Scholar
  3. Groth, E.J., Peebles, P.J.E., 1977. Astrophys. J., 217, 385.CrossRefGoogle Scholar
  4. Hollósi, J., Szalay, A.S., Tóth, G., 1988. In preparation.Google Scholar
  5. Kaiser, N., 1984. Astrophys. J., 284, L9.CrossRefGoogle Scholar
  6. Peebles, P.J.E., 1980. The Large Scale Structure of the Universe, Princeton University Press, Princeton.Google Scholar
  7. Politzer, D., Wise, M.B., 1984. Astrophys. J., 285, L1.CrossRefGoogle Scholar
  8. Struble, M.F., Rood, H.J., 1987. Astrophys. J. Suppl., 63, 543.CrossRefGoogle Scholar
  9. Szalay, A.S., 1988. Astrophys. J., in press. *** DIRECT SUPPORT *** A3418241 00005Google Scholar

Copyright information

© Springer-Verlag 1988

Authors and Affiliations

  • G. Toth
    • 1
  • J. Hollosi
    • 2
  • A. S. Szalay
    • 2
    • 3
  1. 1.Space Telescope Science InstituteBaltimoreUSA
  2. 2.Roland Eötvös UniversityBudapestHungary
  3. 3.Johns Hopkins UniversityBaltimoreUSA

Personalised recommendations