Second-order marginal mode for spherical stellar systems

Details Second-order marginal mode for spherical stellar systems Second-order marginal mode for spherical stellar systems

Oct 1977

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977crasm.285..689g&link_type=abstract

Academie des Sciences (Paris), Comptes Rendus, Serie A - Sciences Mathematiques, vol. 285, no. 10, Oct. 24, 1977, p. 689-692. In

Mathematics

Poisson Equation, Stellar Motions, Stellar Systems, Systems Stability, Vlasov Equations, Angular Momentum, Energy Methods, Optimization, Perturbation Theory, Stellar Models

Scientific paper

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.

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