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By means of identical cubic elements, we generate a partition of a volume inwhich a particle-based cosmological simulation is carried out. In each cubicelement, we determine the gas particles with a normalized density greater thanan arbitrarily chosen density threshold. By using a proximity parameter, wecalculate the neighboring cubic elements and generate a list of neighbors. Byimposing dynamic conditions on the gas particles, we identify gas clumps andtheir neighbors, so that we calculate and fit some properties of the groups soidentified, including the mass, size and velocity dispersion, in terms of theirmultiplicity (here defined simply as the number of member galaxies). Finally,we report the value of the ratio of kinetic energy to gravitational energy ofsuch dense gas clumps, which will be useful as initial conditions insimulations of gravitational collapse of gas clouds and clusters of gas clouds.

Empirical formulae to describe some physical properties of small groups of protogalaxies with multiplicity