Statistics – Computation
Scientific paper
Jun 1987
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987apj...317..607d&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 317, June 15, 1987, p. 607-636.
Statistics
Computation
35
Elliptical Galaxies, Equilibrium Equations, Galactic Structure, Stellar Motions, Angular Momentum, Computational Astrophysics, Linear Operators, Space Density
Scientific paper
The uniqueness or nonuniqueness of the physical solution for the self-consistent dynamical equilibrium of a perfect elliptic disk is investigated. A physical solution is defined as one that corresponds to a distribution function in action space that is not only nonnegative everywhere but also smooth. A specific solution is constructed for the perfect elliptic disk by using the elliptic closed orbits exclusively to provide the density of the model along the short axis beyond the focus. The specific solution, consisting of boxes and elliptic closed orbits, turns out to have the maximum possible angular momentum. It is shown that a band of nonclosed tubes provides the same density as a properly chosen combination of elliptic closed orbits and box orbits. This result permits a more general solution to be derived from the specific one. This general solution is found to be not unique.
de Zeeuw Tim P.
Hunter Charles
Schwarzschild Martin
No associations
LandOfFree
Nonuniqueness of self-consistent equilibrium solutions for the perfect elliptic disk 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 Nonuniqueness of self-consistent equilibrium solutions for the perfect elliptic disk, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Nonuniqueness of self-consistent equilibrium solutions for the perfect elliptic disk will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-1813998