Cylindrically symmetric spiraling accretion in power-law and logarithmic potentials
Authors:
- Łukasz Bratek,
- Joanna Jałocha,
- Marek Kutschera
Abstract
We study cylindrically symmetric steady-state accretion of polytropic test matter spiraling onto the symmetry axis in power-law and logarithmic potentials. The model allows one to qualitatively understand the accretion process in a symmetry different from that of the classical Bondi accretion. We study the integral curves as level lines of some Hamiltonian and also apply this method to Bondi accretion. The isothermal solutions in power-law potentials (as well as in any radius-dependent potential) can be expressed in exact form in terms of the Lambert W function, while in the case of logarithmic potential, exact solutions can be found for any polytropic exponent.
- Record ID
- CUT0e0e8cd2a33a43ce8da27a3b5e6eb9a1
- Publication categories
- ;
- Author
- Journal series
- Astrophysical Journal, ISSN 0004-637X, e-ISSN 1538-4357, Continuous
- Issue year
- 2019
- Vol
- 883
- No
- 1
- Pages
- [1-22]
- Article number
- 35
- Other elements of collation
- tab.; wykr.; Bibliografia (na s.) - 22; Oznaczenie streszczenia - Abstr.; Numeracja w czasopiśmie - Vol. 883, Nr 1
- Keywords in English
- accretion, accretion disks - methods: analytical
- DOI
- DOI:10.3847/1538-4357/ab3978 Opening in a new tab
- URL
- https://iopscience.iop.org/article/10.3847/1538-4357/ab3978#artAbst Opening in a new tab
- Language
- eng (en) English
- License
- Score (nominal)
- 140
- Additional fields
- Indeksowana w: Web of Science, Scopus
- Uniform Resource Identifier
- https://cris.pk.edu.pl/info/article/CUT0e0e8cd2a33a43ce8da27a3b5e6eb9a1/
- URN
urn:pkr-prod:CUT0e0e8cd2a33a43ce8da27a3b5e6eb9a1
* presented citation count is obtained through Internet information analysis, and it is close to the number calculated by the Publish or PerishOpening in a new tab system.