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Multilayer Spherical Stellar Clusters with Uniform Density

Various solutions of the kinetic equation for the equilibrium of a gravitating sphere of uniform density with a quadratic gravitational potential and a linear dependence of gravitational force on radius are examined. New analytic solutions are obtained for a uniform sphere with a hollow spherical volume and central mass inside the sphere. Solutions are also obtained for an arbitrary number of spherical layers with the same density, but with different equilibrium distribution functions.

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Correspondence to G. S. Bisnovatyi-Kogan.

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Translated from Astrofizika, Vol. 64, No. 2, pp. 259-266, May 2021.

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Bisnovatyi-Kogan, G.S. Multilayer Spherical Stellar Clusters with Uniform Density. Astrophysics 64, 219–227 (2021). https://doi.org/10.1007/s10511-021-09683-2

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Keywords

  • spherical clusters
  • quadratic potential
  • equilibrium