Joel2: /* n=5 Polytropic */

2024-07-11T23:39:16Z

n=5 Polytropic

← Older revision		Revision as of 19:39, 11 July 2024
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	====Maximum Mass====		====Maximum Mass====

	=====~~<math>~~n=5~~</math>~~ Polytropic=====		=====n = 5 Polytropic=====
	When <math>~\gamma_a = 6/5</math> — which corresponds to an <math>~n=5</math> polytropic configuration — we obtain,		When <math>~\gamma_a = 6/5</math> — which corresponds to an <math>~n=5</math> polytropic configuration — we obtain,
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	= \biggl(\frac{3^{19}}{2^{12}\cdot 5^{7}\pi} \biggr)^{1/2} \biggl( \frac{\bar{c_s}^8}{G^3 P_e} \biggr)^{1/2} \, .</math>		= \biggl(\frac{3^{19}}{2^{12}\cdot 5^{7}\pi} \biggr)^{1/2} \biggl( \frac{\bar{c_s}^8}{G^3 P_e} \biggr)^{1/2} \, .</math>
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	This result can be compared to [[~~User:Tohline/~~SSC/Structure/LimitingMasses#Bounded_Isothermal_Sphere_.26_Bonnor-Ebert_Mass\|other determinations of the Bonnor-Ebert mass limit]].		This result can be compared to [[SSC/Structure/LimitingMasses#Bounded_Isothermal_Sphere_.26_Bonnor-Ebert_Mass\|other determinations of the Bonnor-Ebert mass limit]].

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Joel2: Created page with "FORCETOC =Virial Equilibrium of Adiabatic Spheres= Highlights of the rather detailed discussion presented below have been summarized in an accompanying chapter of this H_Book. ==Review== ===Adopted Normalizations=== In an introductory discussion o..."

2024-07-11T23:38:08Z

Created page with "__FORCETOC__  =Virial Equilibrium of Adiabatic Spheres= Highlights of the rather detailed discussion presented below have been summarized in an accompanying chapter of this H_Book. ==Review== ===Adopted Normalizations=== In an introductory discussion o..."

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Joel2: /* n=5 Polytropic */

Joel2: Created page with "__FORCETOC__ =Virial Equilibrium of Adiabatic Spheres= Highlights of the rather detailed discussion presented below have been summarized in an accompanying chapter of this H_Book. ==Review== ===Adopted Normalizations=== In an introductory discussion o..."

Joel2: Created page with "FORCETOC =Virial Equilibrium of Adiabatic Spheres= Highlights of the rather detailed discussion presented below have been summarized in an accompanying chapter of this H_Book. ==Review== ===Adopted Normalizations=== In an introductory discussion o..."