Potential-density pairs for bent bars
| Autor: | Vogt, D., Letelier, P. S. |
|---|---|
| Rok vydání: | 2010 |
| Předmět: | |
| Zdroj: | MNRAS, 411, 2371 (2011) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1111/j.1365-2966.2010.17857.x |
| Popis: | A method is presented to bend a thin massive line when the curvature is small. The procedure is applied to a homogeneous thin bar with two types of curvatures. One of them mimics a galactic bar with two spiral arms at its tips. It is showed that if the bending function is a linear combination of Legendre polynomials, then the bent potential is an exact solution of the Laplace equation. A transformation is applied on the thin bent bars to generate three-dimensional potential-density pairs without singularities. The potentials of the thin bent bars are also used to generate non-axisymmetric planar distributions of matter. Comment: 25 pages, 8 figures, accepted for publication in MNRAS |
| Databáze: | arXiv |
| Externí odkaz: |
|