A New Family of Models for Spherical Stellar Systems

TL;DR

This paper introduces a new two-parameter family of models for spherical stellar systems, generalizing previous models and providing solutions for steady velocity dispersions through hydrostatic equilibrium.

Contribution

It presents a novel two-parameter family of mass distribution models that extend existing models and discusses their axisymmetric generalizations.

Findings

Derived steady velocity dispersions for the new models.

Generalized previous models by Kuzmin, Veltmann, An, and Evans.

Discussed potential axisymmetric extensions.

Abstract

A new two-parametric family of mass distribution for spherical stellar systems is considered. It generalizes families by Kuzmin, Veltmann (1972) and by An, Evans (2006). Steady velocity dispersions are found for these models by solving an equation of hydrostatic equilibrium. Axisymmetric generalizations of the model are discussed.