Stability of a contracting flat model stellar system of finite radius
Abstract
An exact, self-consistent, nonlinear model of a contracting, pressure-free stellar system having the form of a nonrotating, finite-radius disk is constructed in the Newtonian approximation. This nonstationary model is tested for stability against asymmetric perturbations. For all perturbation models other than the trivial harmonics, power-law Jeans instability will develop, disrupting the self-similar collapse process and causing the disk to break into separate pieces.
- Publication:
-
Pisma v Astronomicheskii Zhurnal
- Pub Date:
- February 1985
- Bibcode:
- 1985PAZh...11...89N
- Keywords:
-
- Collapse;
- Nonlinear Systems;
- Perturbation;
- Stellar Models;
- Stellar Systems;
- Legendre Functions;
- Pressure;
- Stability;
- Astrophysics