The influence of stellar objects mass distribution on their gravitational fields

We study the influence of the astronomical objects masses randomness on the distribution function of their gravitational fields. Based on purely theoretical arguments and comparison with extensive data, collected from observations and numerical simulations, we have shown that while mass randomness does not alter the non-Gaussian character of the gravitational fields distribution, it changes the dependencies of mean angular momenta of galaxies and clusters on their richness. The specific form of above dependence is determined by the interplay of mass distribution character and different assumptions about cluster morphology. We trace the influence of masses distribution on the time evolution of stellar objects angular momenta in CDM and $Λ$CDM models. Our theoretical predictions are in very good coincidence with the statistical results derived both from observational data and numerical simulations.

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