On broadened definitions of instability for stars in thermal imbalance

Details On broadened definitions of instability for stars in thermal imbalance On broadened definitions of instability for stars in thermal imbalance

Sep 1977

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977ap%26ss..51..205s&link_type=abstract

Astrophysics and Space Science, vol. 51, no. 1, Sept. 1977, p. 205-215.

Astronomy and Astrophysics

Astrophysics

4

Dynamic Stability, Heat Balance, Stellar Evolution, Thermal Instability, Astrodynamics, Perturbation Theory, Stellar Models, Stellar Motions

Scientific paper

This paper demonstrates that two distinct criteria for infinitesimal pulsational instability exist in the case of a star whose underlying state is one of thermal imbalance. One criterion is expressed in terms of displacement, and the other in terms of velocity. The form and language of the classical theory of stability of dynamical systems are used to formulate a broadened set of definitions of stability and instability. It is argued that simultaneous infinitesimal instability of displacement and velocity constitutes a necessary condition for the onset of finite pulsations and that satisfaction of the instability criterion for only displacement or velocity leads to a previously untreated class of nonpulsational instability. It is shown how both the general energy approach and the small-perturbation approach may be employed to calculate e-folding times for velocity as well as displacement.

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