Appendix/Ramblings/Interrelating51and00Bipolytropes/Organization - Revision history

Jet53man: /* Related Discussions */

2022-10-16T21:12:46Z

Related Discussions

← Older revision		Revision as of 17:12, 16 October 2022
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	=Related Discussions=		=Related Discussions=
	* [[SSC/Structure/BiPolytropes/Analytic51#BiPolytrope_with_nc_.3D_5_and_ne_.3D_1\|Analytic solution]] with <math>~n_c = 5~~</math> and <math>~n_e=~~1</math>.		* [[SSC/Structure/BiPolytropes/Analytic51#BiPolytrope_with_nc_.3D_5_and_ne_.3D_1\|Analytic solution]] with <math>(n_c, n_e) = (5,1)</math>.


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Jet53man: /* Structure of (nc, ne) = (0, 0) Bipolytropes */

2022-10-12T22:16:18Z

Structure of (nc, ne) = (0, 0) Bipolytropes

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    <td align="left">
 <math>P_0 \biggl( 1 - \frac{2\pi}{3}\chi_i^2 \biggr)</math>
    </td>
 </tr>

Jet53man: /* Interface Conditions */

2022-10-12T21:58:04Z

Interface Conditions

← Older revision		Revision as of 17:58, 12 October 2022
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	===Interface Conditions===		===Interface Conditions===

	In terms of the (as yet unspecified) total radius, <math>R</math>, we use <math>q</math> to ~~define~~ the fractional radial location of the core/envelope interface, that is,		In terms of the (as yet unspecified) total radius, <math>R</math>, we use <math>q</math> to specify the fractional radial location of the core/envelope interface, that is,
	<table border="0" cellpadding="5" align="center">		<table border="0" cellpadding="5" align="center">

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	<tr>		<tr>
	<td align="right">		<td align="right">
	<math>P</math>		<math>P_i</math>
	</td>		</td>
	<td align="center">		<td align="center">

Jet53man: /* Structure of (nc, ne) = (0, 0) Bipolytropes */

2022-10-12T21:49:56Z

Structure of (nc, ne) = (0, 0) Bipolytropes

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 </table>
-</div>
+===Interface Conditions===
 =Related Discussions=

Jet53man: /* Structure of (nc, ne) = (0, 0) Bipolytropes */

2022-10-12T21:26:59Z

Structure of (nc, ne) = (0, 0) Bipolytropes

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 ==Structure of (n<sub>c</sub>, n<sub>e</sub>) = (0, 0) Bipolytropes==
 Here we draw heavily from an [[SSC/Structure/BiPolytropes/Analytic00|accompanying discussion]] to construct a [[SSC/Structure/BiPolytropes#BiPolytropes|bipolytrope]] in which both the core and the envelope have uniform densities, that is, the structure of both the core and the envelope will be modeled using an <math>n = 0</math> polytropic index.
 =Related Discussions=

Jet53man at 21:07, 12 October 2022

2022-10-12T21:07:48Z

← Older revision		Revision as of 17:07, 12 October 2022
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	=Interrelating (5, 1) and (0, 0) Bipolytropes=		=Interrelating (5, 1) and (0, 0) Bipolytropes=

	Here we construct a [[SSC/Structure/BiPolytropes#BiPolytropes\|bipolytrope]] in which both the core and the envelope have uniform densities, that is, the structure of both the core and the envelope will be modeled using an <math>n = 0</math> polytropic index. It should be possible for the entire structure to be described by closed-form, analytic expressions. Generally, we will follow the [[SSC/Structure/BiPolytropes#Solution_Steps\|general solution steps for constructing a bipolytrope]] that we have outlined elsewhere. [On '''<font color="red">1 February 2014</font>''', J. E. Tohline wrote: This particular system became of interest to me during discussions with Kundan Kadam about the relative stability of bipolytropes.]		==Structure of (n<sub>c</sub>, n<sub>e</sub>) = (0, 0) Bipolytropes==
			Here we draw heavily from an [[SSC/Structure/BiPolytropes/Analytic00\|accompanying discussion]] to construct a [[SSC/Structure/BiPolytropes#BiPolytropes\|bipolytrope]] in which both the core and the envelope have uniform densities, that is, the structure of both the core and the envelope will be modeled using an <math>n = 0</math> polytropic index.
	~~==Structure of (0, 0) Bipolytropes==~~

Jet53man: Created page with "FORCETOC =Interrelating (5, 1) and (0, 0) Bipolytropes= Here we construct a bipolytrope in which both the core and the envelope have uniform densities, that is, the structure of both the core and the envelope will be modeled using an $n = 0$ polytropic index. It should be possible for the entire structure to be described by closed-form, analytic expressions. Generally, we..."

2022-10-12T21:03:34Z

Created page with "__FORCETOC__  =Interrelating (5, 1) and (0, 0) Bipolytropes= Here we construct a bipolytrope in which both the core and the envelope have uniform densities, that is, the structure of both the core and the envelope will be modeled using an <math>n = 0</math> polytropic index. It should be possible for the entire structure to be described by closed-form, analytic expressions. Generally, we..."

New page

__FORCETOC__

=Interrelating (5, 1) and (0, 0) Bipolytropes=

Here we construct a [[SSC/Structure/BiPolytropes#BiPolytropes|bipolytrope]] in which both the core and the envelope have uniform densities, that is, the structure of both the core and the envelope will be modeled using an <math>n = 0</math> polytropic index. It should be possible for the entire structure to be described by closed-form, analytic expressions. Generally, we will follow the [[SSC/Structure/BiPolytropes#Solution_Steps|general solution steps for constructing a bipolytrope]] that we have outlined elsewhere. [On '''<font color="red">1 February 2014</font>''', J. E. Tohline wrote: This particular system became of interest to me during discussions with Kundan Kadam about the relative stability of bipolytropes.]

==Structure of (0, 0) Bipolytropes==

=Related Discussions=
* [[SSC/Structure/BiPolytropes/Analytic51#BiPolytrope_with_nc_.3D_5_and_ne_.3D_1|Analytic solution]] with <math>~n_c = 5</math> and <math>~n_e=1</math>.

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