Quantifying the Bull's Eye Effect

Details Quantifying the Bull's Eye Effect Quantifying the Bull's Eye Effect

2003-05-23

arxiv.org/abs/astro-ph/0305475v2

Astrophys.J. 601 (2004) 28-36

Astronomy and Astrophysics

Astrophysics

21 pages, 5 figures, 3 tables; Replaced version - minor corrections, replaced figure 2; To appear in ApJ, Jan. 20, 2004

Scientific paper

10.1086/380434

We have used N-body simulations to develop two independent methods to quantify redshift distortions known as the Bull's Eye effect (large scale infall plus small scale virial motion). This effect depends upon the mass density, $\Omega_0$, so measuring it can in principle give an estimate of this important cosmological parameter. We are able to measure the effect and distinguish between its strength for high and low values of $\Omega_0$. Unlike other techniques which utilize redshift distortions, one of our methods is relatively insensitive to bias. In one approach, we use path lengths between contour crossings of the density field. The other is based upon percolation. We have found both methods to be successful in quantifying the effect and distinguishing between values of $\Omega_0$. However, only the path lengths method exhibits low sensitivity to bias.

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