Abstract
We analyze a class of spherical stellar systems with an isotropic, non-isothermal, one-particle distribution function which is truncated in energy ε as (εb —ε)ν (ν > 0) near the energy of truncatingεb and is the Maxwell-Boltzmannian at |ε| ≫ |εb|. the stellar systems which correspond to this distribution function appear to be isothermal in their central parts and polytropic in the external parts. Some qualitative results which follow from such a “polytropic-isothermal” distribution function (PIDF) are briefly discussed. A further extention of PIDF enables us to analyze in a new way the evolution of spherical stellar systems.
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