Mass models with Staeckel potentials

Details Mass models with Staeckel potentials Mass models with Staeckel potentials

Aug 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986mnras.221.1001d&link_type=abstract

Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 221, Aug. 15, 1986, p. 1001-1022.

Astronomy and Astrophysics

Astronomy

57

Gravitational Fields, Stellar Gravitation, Stellar Mass, Stellar Models, Cartesian Coordinates, Density Distribution, Oblate Spheroids, Prolate Spheroids, Stellar Motions

Scientific paper

A generalized Kuzmin formula (1956) is used to define a series of smooth three-dimensional mass radial-density models of stellar orbits with a Staeckel gravitational potential. The calculations are carried out in a ellipsoidal coordinate system with the density profile being controlled by two foci on the z-axis. Fall-offs in density which exceed 0.0001 times the radial distance (r) are allowed only along the z-axis for elliptical distributions. Slower density decrements always result in circular profiles. The Staeckel model is concluded of use for modeling elliptical galaxies in three dimensions if the equations of motion are separable.

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