On the potential energy of spherically symmetric stellar systems.

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Stellar Systems: Energies

Scientific paper

The case of spherically symmetric, self-consistent, stellar systems, whose total mass is contained within a finite radius, is considered. A general formula for their potential energy, where the latter is expressed in terms of the total-mass square, limiting radius and a dimensionless coefficient depending on the general density slope, is given. Though the increase of this dimensionless coefficient follows the increasing in another dimensionless quantity (ratio limiting radius to half-mass one), the ratio of the two, for the case of the realistic models examined in the present paper, remains almost constant, usually about 0.4 - 0.5 depending on the given model.

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