SPIDER IX - Classifying Galaxy Groups according to their Velocity Distribution
A.L.B.Ribeiro, A.C.Schilling, R.R. de Carvalho, F. La Barbera, M., Trevisan, P.A. Lopes, H.V. Capelato

TL;DR
This paper introduces a novel method using Hellinger Distance to classify galaxy groups based on their velocity distribution's Gaussianity, revealing insights into group dynamics and galaxy properties.
Contribution
The study develops a new velocity distribution analysis method and applies it to galaxy groups, linking Gaussianity to group mass growth and galaxy property segregation.
Findings
67% of Berlind groups are relaxed (Gaussian)
63% of Millennium simulation groups are relaxed
Environmental effects differ between Gaussian and Non-Gaussian groups
Abstract
We introduce a new method to study the velocity distribution of galaxy systems, the Hellinger Distance (HD) - designed for detecting departures from a Gaussian velocity distribution. We define a relaxed galactic system as the one with unimodal velocity distribution and a normality deviation below a critical value (HD<0.05). In this work, we study the gaussian nature of the velocity distribution of the Berlind group sample, and of the FoF groups from the Millennium simulation. For the Berlind group sample (z<0.1), 67% of the systems are classified as relaxed, while for the Millennium sample we find 63% (z=0). We verify that in multimodal groups the average mass of modes in high multiplicity (N >= 20) systems are significantly larger than in low multiplicity ones (N<20), suggesting that groups experience a mass growth at an increasing virialization rate towards z=0, with larger systems…
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