Some models with three isolating integrals of motion

• DOI: 10.1007/s10511-011-9177-6
• Publication Date: 2011-06-22T00:48:37Z
• Authors: G. A. Malasidze; G. N. Salukvadze; R. A. Chigladze
• Keywords: Proper motion; Stellar dynamics

The existence of a third isolating (nonclassical) integral of motion is, in a certain sense, related to a nongaussian velocity distribution in stellar systems. Based on a previously found series of models with Stackel potentials, several characteristics of these models are generalized by linear superposition to describe some observed properties of galactic systems. Corresponding formulas for the circular rotation velocity and surface density are obtained. The variations of these characteristics are plotted graphically for two interesting cases.