On the Stability of Strongly Non-Homogeneous Self-Gravitating Equilibria

Details On the Stability of Strongly Non-Homogeneous Self-Gravitating Equilibria On the Stability of Strongly Non-Homogeneous Self-Gravitating Equilibria

Sep 1972

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1972ap%26ss..18..207c&link_type=abstract

Astrophysics and Space Science, Volume 18, Issue 1, pp.207-222

Astronomy and Astrophysics

Astrophysics

2

Scientific paper

The stability analysis of several stronglynon-homogeneous, self-gravitating, one-dimensionalunstable equilibrium systems is carried out with the help of numerical techniques. The evolution of the ‘perturbed’ unstable equilibria is studied by following the motion of the boundary curves of ‘water bag’ configurations defining the systems. It is found that initial perturbations drive the unstable equilibrium states out of equilibrium at rates depending on the typical scale length of the perturbations λ: the instability rates increase with λ.

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