SSC/Stability/Yabushita75: Difference between revisions
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=Stability of a BiPolytrope with an Isothermal Core= | =Stability of a BiPolytrope with an Isothermal Core= | ||
This analysis pulls largely from {{ Yabushita75full }}; the focus is on bipolytropes having <math>(n_c, n_e) = (\infty, \tfrac{3}{2})</math>. | This analysis pulls largely from {{ Yabushita75full }}; the focus is on bipolytropes having <math>(n_c, n_e) = (\infty, \tfrac{3}{2})</math>. In an [[SSC/Stability/Isothermal#Yabushita_(1975)|accompanying discussion]], we summarize the steps that Yabushita took — from 1968 and 1974, to 1975 — that led up to his discovery of an analytic description of the isothermal displacement function. | ||
=See Also= | =See Also= | ||
Revision as of 14:32, 6 November 2023
Stability of a BiPolytrope with an Isothermal Core
This analysis pulls largely from 📚 S. Yabushita (1975, MNRAS, Vol. 172, pp. 441 - 453); the focus is on bipolytropes having . In an accompanying discussion, we summarize the steps that Yabushita took — from 1968 and 1974, to 1975 — that led up to his discovery of an analytic description of the isothermal displacement function.
See Also
- M. Gabriel & M. L. Roth (1974, A&A, Vol. 32, p. 309) … On the Secular Stability of Models with an Isothermal Core
- M. Gabriel & P. Ledoux (1967, Annales d'Astrophysique, Vol. 30, p. 975) … Sur la Stabilité Séculaire des Modeéles a Noyaux Isothermes
In § 1 (p. 442) of 📚 Yabushita (1975) we find the following reference: "A somewhat similar problem has been investigated by Gabriel & Ledoux (1967). Gaseous configurations with an isothermal core and polytropic envelope of index 3 were studied by 📚 Henrich & Chandrasekhar (1941) and by 📚 Schönberg & Chandrasekhar (1942). As is well known there is an upper limit (Schönberg-Chandrasekhar limit) to the mass of the core for the configurations to be in hydrostatic equilibria. Gabriel & Ledoux have investigated the stability of these configurations and have shown that secular stability is lost at the configuration that corresponds to the Schönberg-Chandrasekhar limit."
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