Some models with three isolating integrals of motion |
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Authors: | G A Malasidze G N Salukvadze R A Chigladze |
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Institution: | 1.Akhaltsikhe State Pedagogical University,Georgia,USA;2.E. K. Kharadze Abastumani Astrophysical Observatory,Georgia,USA |
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Abstract: | 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 St?ckel 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. |
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