تقرير
A Study of the Orbits of the Logarithmic Potential for Galaxies
| العنوان: | A Study of the Orbits of the Logarithmic Potential for Galaxies |
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| المؤلفون: | Valluri, S. R., Wiegert, P. A., Drozd, J., DaSilva, M. |
| سنة النشر: | 2012 |
| المجموعة: | Astrophysics |
| مصطلحات موضوعية: | Astrophysics - Astrophysics of Galaxies |
| الوصف: | The logarithmic potential is of great interest and relevance in the study of the dynamics of galaxies. Some small corrections to the work of Contopoulos & Seimenis (1990) who used the method of Prendergast (1982) to find periodic orbits and bifurcations within such a potential are presented. The solution of the orbital radial equation for the purely radial logarithmic potential is then considered using the p-ellipse (precessing ellipse) method pioneered by Struck (2006). This differential orbital equation is a special case of the generalized Burgers equation. The apsidal angle is also determined, both numerically as well as analytically by means of the Lambert W and the Polylogarithm functions. The use of these functions in computing the gravitational lensing produced by logarithmic potentials is discussed. Comment: 12 pages, 4 figures. Accepted by MNRAS Sept 6 2012 |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1111/j.1365-2966.2012.22071.x |
| URL الوصول: | http://arxiv.org/abs/1209.1342 |
| رقم الأكسشن: | edsarx.1209.1342 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1111/j.1365-2966.2012.22071.x |
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