Marginal mode and stability of one-dimensional stellar systems

Details Marginal mode and stability of one-dimensional stellar systems Marginal mode and stability of one-dimensional stellar systems

Jun 1981

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981ap%26ss..77..111g&link_type=abstract

Astrophysics and Space Science, vol. 77, no. 1, June 1981, p. 111-119.

Astronomy and Astrophysics

Astrophysics

1

Astrophysics, Dynamic Stability, Perturbation Theory, Stellar Motions, Stellar Systems, Displacement, Integral Equations, Modal Response, Poisson Equation, Vlasov Equations

Scientific paper

The paper considers self-gravitating one-dimensional stellar systems governed by the coupled equations of Vlasov and Poisson. The marginal mode which is a displacement mode of the system is made completely explicit by using the Bartholomew formalism, and then it is used to show the stability of one-dimensional systems when their distribution function F depending on the energy epsilon satisfies the sufficient condition of stability dF/d epsilon less than 0.

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