On the potential-density relation for Stackel discs

Details On the potential-density relation for Stackel discs On the potential-density relation for Stackel discs

Oct 1998

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998mnras.299..985d&link_type=abstract

Monthly Notices of the Royal Astronomical Society, Volume 299, Issue 4, pp. 985-997.

Astronomy and Astrophysics

Astronomy

Gravitation, Methods: Analytical, Methods: Numerical, Galaxies: Structure

Scientific paper

The general form of the surface density of an infinitely thin disc is given that generates a Stackel potential in the disc only, using formulae for the potential of elliptic and hyperbolic strings. This is useful for problems in which a simple form for the potential is important, while the corresponding surface density need only be known to check (numerically) that it is positive. A simple potential with a positive surface density is given. Also, formulae are given to calculate the surface density of such a Stackel disc, in the case in which the rotation curve is given and all the mass is concentrated in the disc.

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