Instability of a nonlinearly pulsating model of a stellar system - Volume perturbations: Camm's model

Details Instability of a nonlinearly pulsating model of a stellar system - Volume perturbations: Camm's model Instability of a nonlinearly pulsating model of a stellar system - Volume perturbations: Camm's model

Aug 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991azh....68..763n&link_type=abstract

Astronomicheskii Zhurnal (ISSN 0004-6299), vol. 68, July-Aug. 1991, p. 763-775. In Russian.

Astronomy and Astrophysics

Astronomy

2

Numerical Stability, Perturbation Theory, Stellar Models, Stellar Systems, Differential Equations, Integral Equations, Nonlinear Equations

Scientific paper

The stability of an original nonlinearly pulsating model based on Camm's sphere is investigated. The total dispersion equation in integral and differential forms for a general case is derived. Critical amplitudes of pulsations and increments of the volume perturbations are computed. Among the perturbations studied, the 'egg-shaped' instability is found to be the most perilous.

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