User:Tohline/SSC/Structure/LimitingMasses - Revision history

Tohline: /* Related Discussions */

2020-11-19T17:22:06Z

Related Discussions

← Older revision		Revision as of 17:22, 19 November 2020
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	* [[User:Tohline/SSC/Structure/LimitingMasses#Sch.C3.B6nberg-Chandrasekhar_Mass\|Schönberg-Chandrasekhar limiting mass]]		* [[User:Tohline/SSC/Structure/LimitingMasses#Sch.C3.B6nberg-Chandrasekhar_Mass\|Schönberg-Chandrasekhar limiting mass]]
	* [[User:Tohline/SSC/Structure/LimitingMasses#Relationship_Between_the_Bonnor-Ebert_and_Sch.C3.B6nberg-Chandrasekhar_Critical_Masses\|Relationship between Bonnor-Ebert and Schönberg-Chandrasekhar limiting masses]]		* [[User:Tohline/SSC/Structure/LimitingMasses#Relationship_Between_the_Bonnor-Ebert_and_Sch.C3.B6nberg-Chandrasekhar_Critical_Masses\|Relationship between Bonnor-Ebert and Schönberg-Chandrasekhar limiting masses]]
			* [https://ui.adsabs.harvard.edu/abs/1971A%26A....14..351M/abstract Maeder, A. (1971, Astron. & Astrophysics, 14, 351 - 358).] — Examines the effects of rotation on the Schönberg-Chandrasekhar limiting mass.


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Tohline: /* Schönberg-Chandrasekhar Mass */ Unlock SC-limit text

2016-08-17T22:27:49Z

Schönberg-Chandrasekhar Mass: Unlock SC-limit text

← Older revision		Revision as of 22:27, 17 August 2016
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	~~<!--~~ [[Image:SC42excerpt.jpg\|600px\|center]] -->		[[Image:SC42excerpt.jpg\|600px\|center]]
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Tohline: /* Relationship Between the Bonnor-Ebert and Schönberg-Chandrasekhar Critical Masses */ Unlock Stahler figures

2016-08-17T22:26:49Z

Relationship Between the Bonnor-Ebert and Schönberg-Chandrasekhar Critical Masses: Unlock Stahler figures

← Older revision		Revision as of 22:26, 17 August 2016
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	~~<!--~~ [[File:Stahler1983TitlePage0.png\|300px\|center\|Stahler (1983) Title Page]] -->		[[File:Stahler1983TitlePage0.png\|300px\|center\|Stahler (1983) Title Page]]
	[[Image:AAAwaiting01.png\|300px\|center\|Stahler (1983) Title Page]]		<!-- [[Image:AAAwaiting01.png\|300px\|center\|Stahler (1983) Title Page]] -->
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	~~<!--~~ [[File:Stahler_MRdiagram1.png\|300px\|center\|Stahler (1983) Figure 17 (edited)]] -->		[[File:Stahler_MRdiagram1.png\|300px\|center\|Stahler (1983) Figure 17 (edited)]]
	[[Image:AAAwaiting01.png\|300px\|center\|Stahler (1983) Figure 17 (edited)]]		<!-- [[Image:AAAwaiting01.png\|300px\|center\|Stahler (1983) Figure 17 (edited)]] -->
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Tohline: /* Relationship Between the Bonnor-Ebert and Schönberg-Chandrasekhar Critical Masses */ Comment-out 2 images from Stahler

2015-05-24T18:07:18Z

Relationship Between the Bonnor-Ebert and Schönberg-Chandrasekhar Critical Masses: Comment-out 2 images from Stahler

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	[[File:Stahler1983TitlePage0.png\|300px\|center\|Stahler (1983) Title Page]]		<!-- [[File:Stahler1983TitlePage0.png\|300px\|center\|Stahler (1983) Title Page]] -->
			[[Image:AAAwaiting01.png\|300px\|center\|Stahler (1983) Title Page]]
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	[[File:Stahler_MRdiagram1.png\|300px\|center\|Stahler (1983) Figure 17 (edited)]]		<!-- [[File:Stahler_MRdiagram1.png\|300px\|center\|Stahler (1983) Figure 17 (edited)]] -->
			[[Image:AAAwaiting01.png\|300px\|center\|Stahler (1983) Figure 17 (edited)]]
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Tohline: /* Schönberg-Chandrasekhar Mass */ Comment-out image from SC42

2015-05-24T18:04:52Z

Schönberg-Chandrasekhar Mass: Comment-out image from SC42

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			[[Image:AAAwaiting01.png\|600px\|center]]
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Tohline: /* Mass Upper Limits */ Mostly minor edits, but also added a couple of key reference links

2015-02-26T18:00:05Z

Mass Upper Limits: Mostly minor edits, but also added a couple of key reference links

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Tohline: /* Relationship Between the Bonnor-Ebert and Schönberg-Chandrasekhar Critical Masses */ Insert embedded polytrope virial-equilibrium figure

2014-10-25T16:55:36Z

Relationship Between the Bonnor-Ebert and Schönberg-Chandrasekhar Critical Masses: Insert embedded polytrope virial-equilibrium figure

← Older revision		Revision as of 16:55, 25 October 2014
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	[[File:Stahler_MRdiagram1.png\|300px\|center\|Stahler (1983) Figure 17 (edited)]]		[[File:Stahler_MRdiagram1.png\|300px\|center\|Stahler (1983) Figure 17 (edited)]]
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	[[File:Stahler1983Comparison.png\|300px\|center\|To be compared with Stahler (1983)]]		[[File:Stahler1983Comparison.png\|300px\|center\|To be compared with Stahler (1983)]]
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Tohline: /* Relationship Between the Bonnor-Ebert and Schönberg-Chandrasekhar Critical Masses */ Insert draft figure to show pressure-bounded spheres versus bipolytropes

2014-03-15T00:46:46Z

Relationship Between the Bonnor-Ebert and Schönberg-Chandrasekhar Critical Masses: Insert draft figure to show pressure-bounded spheres versus bipolytropes

← Older revision		Revision as of 00:46, 15 March 2014
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	It should be clear from this analysis that the Bonnor-Ebert critical mass is not distinct from the Schönberg-Chandrasekhar critical mass. It can be derived from the Schönberg-Chandrasekhar mass in the limit when <math>\mu_e/\mu_c \rightarrow 0</math>. Had [http://adsabs.harvard.edu/abs/1942ApJ....96..161S Schönberg & Chandrasekhar (1942)] examined their model in this limit, they would have "discovered" the Bonnor-Ebert mass a decade prior to both Bonnor's and Ebert's published works.		It should be clear from this analysis that the Bonnor-Ebert critical mass is not distinct from the Schönberg-Chandrasekhar critical mass. It can be derived from the Schönberg-Chandrasekhar mass in the limit when <math>\mu_e/\mu_c \rightarrow 0</math>. Had [http://adsabs.harvard.edu/abs/1942ApJ....96..161S Schönberg & Chandrasekhar (1942)] examined their model in this limit, they would have "discovered" the Bonnor-Ebert mass a decade prior to both Bonnor's and Ebert's published works.

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			<div align="center">
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			<font color="darkblue">Equilibrium Mass-Radius Diagram </font>
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			[[File:Stahler1983TitlePage0.png\|300px\|center\|Stahler (1983) Title Page]]
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			[[File:Stahler_MRdiagram1.png\|300px\|center\|Stahler (1983) Figure 17 (edited)]]
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			[[Image:PlotSequencesBest02.png\|350px\|center]]
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			[[File:Stahler1983Comparison.png\|300px\|center\|To be compared with Stahler (1983)]]
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	=Related Discussions=		=Related Discussions=

Tohline: /* Related Wikipedia Discussions */ Add "related discussions" links

2013-06-24T19:38:53Z

Related Wikipedia Discussions: Add "related discussions" links

← Older revision		Revision as of 19:38, 24 June 2013
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	=Related ~~Wikipedia~~ Discussions=		=Related Discussions=
	* [http://en.wikipedia.org/wiki/Bonnor-Ebert)mass Bonnor-Ebert ~~Mass~~]		* [[User:Tohline/SSC/Structure/PolytropesEmbedded#Embedded_Polytropic_Spheres\|Polytropes emdeded in an external medium]]
			* [[User:Tohline/SSC/Structure/BiPolytropes#BiPolytropes\|Constructing BiPolytropes]]
			* [[User:Tohline/SSC/Structure/BiPolytropes/Analytic5_1#BiPolytrope_with_nc_.3D_5_and_ne_.3D_1\|Analytic description of BiPolytrope with <math>(n_c, n_e) = (5,1)</math>]]
			* [[User:Tohline/SSC/Structure/BonnorEbert#Pressure-Bounded_Isothermal_Sphere\|Bonnor-Ebert spheres]]
			** [http://en.wikipedia.org/wiki/Bonnor-Ebert_mass Bonnor-Ebert Mass] according to Wikipedia
			** [http://www.astro.umd.edu/~cychen/MATLAB/ASTR320/matlabFrom320spring2011/Bonnor-EbertSphere/html/BonnorEbert.html A MATLAB script to determine the Bonnor-Ebert Mass coefficient] developed by [http://www.astro.umd.edu/people/cychen.html Che-Yu Chen] as a graduate student in the University of Maryland Department of Astronomy
			* [[User:Tohline/SSC/Structure/LimitingMasses#Sch.C3.B6nberg-Chandrasekhar_Mass\|Schönberg-Chandrasekhar limiting mass]]
			* [[User:Tohline/SSC/Structure/LimitingMasses#Relationship_Between_the_Bonnor-Ebert_and_Sch.C3.B6nberg-Chandrasekhar_Critical_Masses\|Relationship between Bonnor-Ebert and Schönberg-Chandrasekhar limiting masses]]


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Tohline: Delete extraneous "work in progress" section

2013-06-24T19:08:36Z

Delete extraneous "work in progress" section

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