Eccentric Stellar Discs with Strong Density Cusps and Separable Potentials
| dc.creator | Jalali, M. A. | |
| dc.creator | Rafiee, A. R. | |
| dc.date | 2000-01-04 | |
| dc.date.accessioned | 2026-07-25T17:37:04Z | |
| dc.description | We introduce a class of eccentric discs with "strong" density cusps whose potentials are of Stäckel form in elliptic coordinates. Our models exhibit some striking features: sufficiently close to the location of the cusp, the potential and surface density distribution diverge as $Φ\propto r^{-1}$ and $Σ\propto r^{-2}$, respectively. As we move outward from the centre, the model takes a non-axisymmetric, lopsided structure. In the limit, when $r$ tends to infinity, the isocontours of $Φ$ and $Σ$ become spherically symmetric. It is shown that the configuration space is occupied by three families of regular orbits: {\it eccentric butterfly}, {\it aligned loop} and {\it horseshoe} orbits. These orbits are properly aligned with the surface density distribution and can be used to construct self-consistent equilibrium states. | |
| dc.description | 5 pages, submitted to MNRAS | |
| dc.identifier | https://arxiv.org/abs/astro-ph/0001042 | |
| dc.identifier | http://arxiv.org/abs/astro-ph/0001042 | |
| dc.identifier.uri | https://dspace.dare.co.zw/handle/123456789/48877 | |
| dc.subject | Astrophysics | |
| dc.title | Eccentric Stellar Discs with Strong Density Cusps and Separable Potentials | |
| dc.type | text |