The role of equipotential and equidensity surfaces for constructing models of galaxies

Details The role of equipotential and equidensity surfaces for constructing models of galaxies The role of equipotential and equidensity surfaces for constructing models of galaxies

Nov 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986afz....25..545k&link_type=abstract

(Astrofizika, vol. 25, Nov.-Dec. 1986, p. 545-558) Astrophysics (ISSN 0571-7132), vol. 25, no. 3, May 1987, p. 671-679. Translat

Astronomy and Astrophysics

Astrophysics

1

Astronomical Models, Equipotentials, Galaxies, Integral Equations, Mass Distribution, Poisson Equation

Scientific paper

The significance of the equipotential and equidensity surfaces in the construction of models of the mass distribution of self-gravitating systems is investigated. If the equipotential surfaces are specified, Poisson's equation can be used to determine the spatial density from the circular velocity. By specifying the equidensity surfaces, the kernel of the integral equation that relates the density to the circular velocity can be determined. The corresponding expressions for known models are obtained.

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