Please use this identifier to cite or link to this item:
http://hdl.handle.net/2289/4805
Title: | Cusps without chaos |
Authors: | Sridhar, S. Touma, Jihad R. |
Keywords: | Galaxies Elliptical and lenticular Kinematics and dynamics |
Issue Date: | 1997 |
Publisher: | Blackwell Publishing for the Royal Astronomical Society |
Citation: | Monthly Notices of the Royal Astronomical Society, 1997, Vol.287, pL1-L4 |
Abstract: | We present cuspy, non-axisymmetric, scale-free mass models of discs, whose gravitational potentials are of Stackel form in parabolic coordinates. A black hole may be added at the centre, without in any way affecting the Stackel form; the dynamics in these potentials is, of course, fully integrable. The surface density Sigma(disc) proportional to 1/r(gamma), where 0<gamma<1 corresponds to steep cusps for which the central force diverges. Thus cusps, black holes, and non-axisymmetry are not a sure recipe for chaos, as is generally assumed. A new family of orbits, lens orbits, emerges to replace the box orbits of models of elliptical galaxies that have constant-density cores. Loop orbits are conspicuous by their absence. Both lenses and bananas (the other family of orbits) can be elongated in the direction of the density distribution, a property that is favourable for the construction of non-axisymmetric, self-consistent equilibrium models of elliptical galaxies. |
Description: | Restricted Access. An open-access version is available at arXiv.org (one of the alternative locations) |
URI: | http://hdl.handle.net/2289/4805 |
ISSN: | 0035-8711 |
Copyright: | 1997 Blackwell Publishing for the Royal Astronomical Society |
Appears in Collections: | Research Papers (A&A) |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
1997_MNRAS_V287_pL1.pdf Restricted Access | 156.38 kB | Adobe PDF | View/Open Request a copy |
Items in RRI Digital Repository are protected by copyright, with all rights reserved, unless otherwise indicated.