Marginal mode to the second order for spherical stellar systems.
Abstract
The energy-minimization method is used to study the stability of spherical stellar systems. The time-dependent marginal mode of displacement of a stellar system is written explicity. This aspherical mode, which is a solution of the Vlasov-Poisson equations, corresponds to a perturbation on the energy and on the square of angular momentum. In contrast with the first-order case, the second variation of energy is found to vanish for this second-order mode.
- Publication:
-
Academie des Sciences Paris Comptes Rendus Serie Sciences Mathematiques
- Pub Date:
- October 1977
- Bibcode:
- 1977CRASM.285..689G
- Keywords:
-
- Poisson Equation;
- Stellar Motions;
- Stellar Systems;
- Systems Stability;
- Vlasov Equations;
- Angular Momentum;
- Energy Methods;
- Optimization;
- Perturbation Theory;
- Stellar Models;
- Astrophysics