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

Tohline: /* Journal Articles */

2019-03-08T23:02:27Z

Journal Articles

← Older revision		Revision as of 23:02, 8 March 2019
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	==Journal Articles==		==Journal Articles==
	* [http://adsabs.harvard.edu/abs/1870AmJS...50...57L J. H. Lane (1870)], '''American Journal of Science''', ''On the Theoretical Temperature of the Sun''		* [http://adsabs.harvard.edu/abs/1870AmJS...50...57L J. H. Lane (1870)], '''American Journal of Science''', ''On the Theoretical Temperature of the Sun''
	* [https://archive.org/details/mobot31753002152772/page/74 J. H. Lane (1870)], '''The American Journal of Science and Arts''', Vol. 50, pp. 57 - 74: ''On the Theoretical Temperature of the Sun under the Hypothesis of a Gaseous Mass Maintaining Its Volume by Its Internal Heat and Depending on the Laws of Gases Known to Terrestrial Experiment''		* [https://archive.org/details/mobot31753002152772/page/56 J. H. Lane (1870)], '''The American Journal of Science and Arts''', Vol. 50, pp. 57 - 74: ''On the Theoretical Temperature of the Sun under the Hypothesis of a Gaseous Mass Maintaining Its Volume by Its Internal Heat and Depending on the Laws of Gases Known to Terrestrial Experiment''

	==Wikipedia==		==Wikipedia==

Tohline: /* Journal Articles */

2019-03-08T23:01:30Z

Journal Articles

← Older revision		Revision as of 23:01, 8 March 2019
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	==Journal Articles==		==Journal Articles==
	* [http://adsabs.harvard.edu/abs/1870AmJS...50...57L J. H. Lane (1870)], '''American Journal of Science''', ''On the Theoretical Temperature of the Sun''		* [http://adsabs.harvard.edu/abs/1870AmJS...50...57L J. H. Lane (1870)], '''American Journal of Science''', ''On the Theoretical Temperature of the Sun''
	* [https://~~www.scirp~~.org/~~(S(czeh2tfqyw2orz553k1w0r45))~~/~~reference~~/~~ReferencesPapers.aspx?ReferenceID=530001~~ J. H. Lane (1870)], '''The American Journal of Science and Arts''', Vol. 50, pp. 57 - 74: ''On the Theoretical Temperature of the Sun under the Hypothesis of a Gaseous Mass Maintaining Its Volume by Its Internal Heat and Depending on the Laws of Gases Known to Terrestrial Experiment''		* [https://archive.org/details/mobot31753002152772/page/74 J. H. Lane (1870)], '''The American Journal of Science and Arts''', Vol. 50, pp. 57 - 74: ''On the Theoretical Temperature of the Sun under the Hypothesis of a Gaseous Mass Maintaining Its Volume by Its Internal Heat and Depending on the Laws of Gases Known to Terrestrial Experiment''

	==Wikipedia==		==Wikipedia==

Tohline: /* Journal Articles */

2019-03-08T22:52:50Z

Journal Articles

← Older revision		Revision as of 22:52, 8 March 2019
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	==Journal Articles==		==Journal Articles==
	* [http://adsabs.harvard.edu/abs/1870AmJS...50...57L J. H. Lane (1870)], '''American Journal of Science''', ''On the Theoretical Temperature of the Sun''		* [http://adsabs.harvard.edu/abs/1870AmJS...50...57L J. H. Lane (1870)], '''American Journal of Science''', ''On the Theoretical Temperature of the Sun''
			* [https://www.scirp.org/(S(czeh2tfqyw2orz553k1w0r45))/reference/ReferencesPapers.aspx?ReferenceID=530001 J. H. Lane (1870)], '''The American Journal of Science and Arts''', Vol. 50, pp. 57 - 74: ''On the Theoretical Temperature of the Sun under the Hypothesis of a Gaseous Mass Maintaining Its Volume by Its Internal Heat and Depending on the Laws of Gases Known to Terrestrial Experiment''

	==Wikipedia==		==Wikipedia==

Tohline: /* Related Wikipedia Discussions */

2019-03-08T22:47:42Z

Related Wikipedia Discussions

← Older revision		Revision as of 22:47, 8 March 2019
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	=Related ~~Wikipedia~~ Discussions=		=Related Discussions=
			==Journal Articles==
			* [http://adsabs.harvard.edu/abs/1870AmJS...50...57L J. H. Lane (1870)], '''American Journal of Science''', ''On the Theoretical Temperature of the Sun''

			==Wikipedia==
	* [https://en.wikipedia.org/wiki/Robert_Emden Robert Emden]		* [https://en.wikipedia.org/wiki/Robert_Emden Robert Emden]
	* [https://en.wikipedia.org/wiki/Emden–Chandrasekhar_equation Emden-Chandrasekhar equation]		* [https://en.wikipedia.org/wiki/Emden–Chandrasekhar_equation Emden-Chandrasekhar equation]

Tohline: /* Related Wikipedia Discussions */

2019-03-08T22:44:08Z

Related Wikipedia Discussions

← Older revision		Revision as of 22:44, 8 March 2019
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	* [https://en.wikipedia.org/wiki/Robert_Emden Robert Emden]		* [https://en.wikipedia.org/wiki/Robert_Emden Robert Emden]
	* [https://en.wikipedia.org/wiki/Emden–Chandrasekhar_equation Emden-Chandrasekhar equation]		* [https://en.wikipedia.org/wiki/Emden–Chandrasekhar_equation Emden-Chandrasekhar equation]
			* [https://en.wikipedia.org/wiki/Jonathan_Homer_Lane Jonathan Home Lane]
			* [https://en.wikipedia.org/wiki/Lane–Emden_equation Lane-Emden equation]


	{{LSU_HBook_footer}}		{{LSU_HBook_footer}}

Tohline: /* Related Wikipedia Discussions */

2019-03-08T22:36:59Z

Related Wikipedia Discussions

← Older revision		Revision as of 22:36, 8 March 2019
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	=Related Wikipedia Discussions=		=Related Wikipedia Discussions=

			* [https://en.wikipedia.org/wiki/Robert_Emden Robert Emden]
			* [https://en.wikipedia.org/wiki/Emden–Chandrasekhar_equation Emden-Chandrasekhar equation]


	{{LSU_HBook_footer}}		{{LSU_HBook_footer}}

Tohline: /* Isothermal Sphere */

2019-03-08T18:11:56Z

Isothermal Sphere

Show changes

Tohline: /* Emden's Numerical Solution */

2017-07-07T17:56:49Z

Emden's Numerical Solution

← Older revision		Revision as of 17:56, 7 July 2017
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	An analytic — but ''approximate'' — solution to the isothermal Lane-Emden equation can be found:		An analytic — but ''approximate'' — solution to the isothermal Lane-Emden equation can be found:
			* [http://adsabs.harvard.edu/abs/1996MNRAS.281.1197L F. K. Liu (1996, MNRAS, 281, 1197-1205)]:   ''Polytropic Gas Spheres: An Approximate Analytic Solution of the Lane-Emden Equation''
			* [http://adsabs.harvard.edu/abs/1997MNRAS.286..268N Priyamvada Natarajan & Donald Lynden-Bell (1997, MNRAS, 286, 268-270)]:   '' An Analytic Approximation to the Isothermal Sphere''
	* [http://adsabs.harvard.edu/abs/2013RMxAA..49...63R A. C. Raga, J. C. Rodríguez-Ramírez, M. Villasante, A. Rodríguez-González, & V. Lora (2013, Revista Mexicana de Astronomía y Astrofísica, 49, 63-69)]:   ''A New Analytic Approximation to the Isothermal, Self-Gravitating Sphere''		* [http://adsabs.harvard.edu/abs/2013RMxAA..49...63R A. C. Raga, J. C. Rodríguez-Ramírez, M. Villasante, A. Rodríguez-González, & V. Lora (2013, Revista Mexicana de Astronomía y Astrofísica, 49, 63-69)]:   ''A New Analytic Approximation to the Isothermal, Self-Gravitating Sphere''

Tohline: /* Emden's Numerical Solution */

2017-07-07T16:58:35Z

Emden's Numerical Solution

← Older revision		Revision as of 16:58, 7 July 2017
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	A more recent and more extensive tabulation of the structural properties of isothermal spheres is provided by:		A more recent and more extensive tabulation of the structural properties of isothermal spheres is provided by:
	* [http://adsabs.harvard.edu/abs/1949ApJ...109..551C Chandrasekhar & Wares (1949, ApJ, 109, 551)]:   ''The Isothermal Function''		* [http://adsabs.harvard.edu/abs/1949ApJ...109..551C Chandrasekhar & Wares (1949, ApJ, 109, 551)]:   ''The Isothermal Function''
			* [http://adsabs.harvard.edu/abs/1986Ap%26SS.126..357H G. P. Horedt (1986, Astrophys. & Space Science, 126, 357-408)]:  ''Seven-Digit Tables of Lane-Emden Functions'' — See, in particular, pp. 405-406 (Sphere of polytropic index <math>~n = \pm \infty</math>).

	An analytic — but ''approximate'' — solution to the isothermal Lane-Emden equation can be found:		An analytic — but ''approximate'' — solution to the isothermal Lane-Emden equation can be found:

Tohline: /* Emden's Numerical Solution */

2017-07-07T16:44:36Z

Emden's Numerical Solution

← Older revision		Revision as of 16:44, 7 July 2017
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	A more recent and more extensive tabulation of the structural properties of isothermal spheres is provided by [http://adsabs.harvard.edu/abs/1949ApJ...109..551C Chandrasekhar & Wares (1949, ApJ, 109, 551)].		A more recent and more extensive tabulation of the structural properties of isothermal spheres is provided by:
			* [http://adsabs.harvard.edu/abs/1949ApJ...109..551C Chandrasekhar & Wares (1949, ApJ, 109, 551)]:   ''The Isothermal Function''

			An analytic — but ''approximate'' — solution to the isothermal Lane-Emden equation can be found:
			* [http://adsabs.harvard.edu/abs/2013RMxAA..49...63R A. C. Raga, J. C. Rodríguez-Ramírez, M. Villasante, A. Rodríguez-González, & V. Lora (2013, Revista Mexicana de Astronomía y Astrofísica, 49, 63-69)]:   ''A New Analytic Approximation to the Isothermal, Self-Gravitating Sphere''

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	</td>		</td>