Exact solutions for the spatial de Vaucouleurs and Sérsic laws and related quantities
Abstract
Using the {Mathematica} package, we find exact analytical expressions for the so-called de-projected de Vaucouleurs and Sérsic laws as well as for related spatial (3D) quantities - such the mass, gravitational potential, the total energy and the central velocity dispersion - generally involved in astronomical calculations expressed in terms of the Meijer G functions.
- Publication:
-
Astronomy and Astrophysics
- Pub Date:
- January 2002
- DOI:
- 10.1051/0004-6361:20011751
- arXiv:
- arXiv:astro-ph/0112147
- Bibcode:
- 2002A&A...383..384M
- Keywords:
-
- GALAXIES: ELLIPTICAL AND LENTICULAR;
- CD;
- GALAXIES: FUNDAMENTAL PARAMETERS;
- GALAXIES: CLUSTERS: GENERAL;
- Astrophysics
- E-Print:
- 11 pages, accepted in AA