SSC/Stability/Yabushita75: Difference between revisions
Created page with "__FORCETOC__ <!-- __NOTOC__ will force TOC off --> =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>. =See Also= * [https://ui.adsabs.harvard.edu/abs/1967AnAp...30..975G/abstract M. Gabriel & P. Ledoux (1967, Annales d'Astrophysique, Vol. 30, p. 975)] … ''Sur la Stabilité Séculaire des Modeéles..." |
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[https://ui.adsabs.harvard.edu/abs/1974A%26A....32..309G/abstract M. Gabriel & M. L. Roth (1974, A&A, Vol. 32, p. 309)] … ''On the Secular Stability of Models with an Isothermal Core'' | |||
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<li>[https://ui.adsabs.harvard.edu/abs/1967AnAp...30..975G/abstract M. Gabriel & P. Ledoux (1967, Annales d'Astrophysique, Vol. 30, p. 975)] … ''Sur la Stabilité Séculaire des Modeéles a Noyaux Isothermes''<br /> | |||
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In § 1 (p. 442) of {{ Yabushita75 }} we find the following reference: <font color="darkgreen">"A somewhat similar problem has been investigated by [https://ui.adsabs.harvard.edu/abs/1967AnAp...30..975G/abstract Gabriel & Ledoux (1967)]. Gaseous configurations with an isothermal core and polytropic envelope of index 3 were studied by {{ HC41 }} and by {{ SC42 }}. 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."</font> | |||
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Revision as of 14:18, 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 .
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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