A generalization of Kuzmin's theorem

Details A generalization of Kuzmin's theorem A generalization of Kuzmin's theorem

Oct 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985mnras.216..599d&link_type=abstract

Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 216, Oct. 1, 1985, p. 599-612.

Astronomy and Astrophysics

Astronomy

49

Astronomical Models, Density Distribution, Elliptical Galaxies, Galactic Structure, Gravitational Fields, Mass Distribution, Coordinates, Equations Of Motion, Poisson Equation

Scientific paper

In a triaxial mass model with a gravitational potential of Stäckel form in ellipsoidal coordinates the density at a general point is related in a simple way to the density on the short axis. The density is nowhere negative if and only if it is non-negative on the short axis. This is the generalization of a theorem derived by Kuzmin for oblate axisymmetric mass models. For a given short axis density profile and choice of ellipsoidal coordinates one can find, by straightforward integration, not only the complete mass model that has this short axis profile and a Stäckel potential in these coordinates, but also the potential itself.

Affiliated with

Also associated with

No associations

Rating

A generalization of Kuzmin's theorem does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A generalization of Kuzmin's theorem, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A generalization of Kuzmin's theorem will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1547406