The Potential Energy of the Polytropic Sphere of index n=5 (Spanish Title: La energía potencial de la esfera politrópica n=5)

Astronomy and Astrophysics – Astronomy

Scientific paper

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Galaxies: Kinematics And Dynamics

Scientific paper

The usual expression for the potential energy of a polytropic sphere is indeterminate when the index n is equal to 5. However since some globular clusters have a density distribution resembling the n = 5 polytrope it seems of interest to compute this value and express it in terms of more appropriate parameters. The aim of this paper is to analyze this issue.

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