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Jet53man: /* Stability Analysis */

2023-11-06T17:49:04Z

Stability Analysis

← Older revision		Revision as of 13:49, 6 November 2023
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	\|-		\|-
	! style="height: 150px; width: 150px; background-color:#ffff99; border-right:2px solid black; " \|<b>BiPolytropes</b>		! style="height: 150px; width: 150px; background-color:#ffff99; border-right:2px solid black; " \|<b>BiPolytropes</b>
			\|
			! style="height: 150px; width: 150px; border-right:2px dashed black; " \|[[SSC/Stability/Yabushita75\|Yabushita<br />(1975)]]<br /><br />(n<sub>c</sub>, n<sub>e</sub>) = (∞, 3/2)
	\|		\|
	! style="height: 150px; width: 150px; background-color:#ffeeee; border-right:2px dashed black; " \|[[SSC/Stability/MurphyFiedler85\|Murphy & Fiedler<br />(1985b)]]<br /><br />(n<sub>c</sub>, n<sub>e</sub>) = (1,5)		! style="height: 150px; width: 150px; background-color:#ffeeee; border-right:2px dashed black; " \|[[SSC/Stability/MurphyFiedler85\|Murphy & Fiedler<br />(1985b)]]<br /><br />(n<sub>c</sub>, n<sub>e</sub>) = (1,5)

Jet53man: /* Stability Analysis */

2023-10-23T18:17:51Z

Stability Analysis

← Older revision		Revision as of 14:17, 23 October 2023
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	! style="height: 150px; width: 150px; background-color:#ffeeee; border-right:2px dashed black; " \|[[SSC/Stability/MurphyFiedler85\|Murphy & Fiedler<br />(1985b)]]<br /><br />(n<sub>c</sub>, n<sub>e</sub>) = (1,5)		! style="height: 150px; width: 150px; background-color:#ffeeee; border-right:2px dashed black; " \|[[SSC/Stability/MurphyFiedler85\|Murphy & Fiedler<br />(1985b)]]<br /><br />(n<sub>c</sub>, n<sub>e</sub>) = (1,5)
	\|		\|
	! style="height: 150px; width: 150px~~; border-right:2px dashed black~~; " \|[[SSC/Stability/BiPolytropes~~/HeadScratching\|Our<br />Broader<br />Analysis]]~~		! style="height: 150px; width: 150px; " \|[[SSC/Stability/BiPolytropes\|Stability Analysis <br />of BiPolytropes with]]<br /> <br />(n<sub>c</sub>, n<sub>e</sub>) = (5, 1)
	\|
	~~! style="height: 150px; width: 150px; border-right:2px dashed black; " \|[[SSC/Stability/BiPolytropes/SuccinctDiscussion\|Succinct<br />Discussion]]~~
	\|
	~~! style="height: 150px; width: 150px; " \|[[SSC/Stability/BiPolytropes/51Models~~\|Stability Analysis <br />of BiPolytropes with]]<br /> <br />(n<sub>c</sub>, n<sub>e</sub>) = (5, 1)
	\|}		\|}

Jet53man: /* Stability Analysis */

2023-09-27T19:19:39Z

Stability Analysis

← Older revision		Revision as of 15:19, 27 September 2023
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	! style="height: 150px; width: 150px; border-right:2px dashed black; " \|[[SSC/Stability/BiPolytropes/HeadScratching\|Our<br />Broader<br />Analysis]]		! style="height: 150px; width: 150px; border-right:2px dashed black; " \|[[SSC/Stability/BiPolytropes/HeadScratching\|Our<br />Broader<br />Analysis]]
	\|		\|
	! style="height: 150px; width: 150px; " \|[[SSC/Stability/BiPolytropes/SuccinctDiscussion\|Succinct<br />Discussion]]		! style="height: 150px; width: 150px; border-right:2px dashed black; " \|[[SSC/Stability/BiPolytropes/SuccinctDiscussion\|Succinct<br />Discussion]]
			\|
			! style="height: 150px; width: 150px; " \|[[SSC/Stability/BiPolytropes/51Models\|Stability Analysis <br />of BiPolytropes with]]<br /> <br />(n<sub>c</sub>, n<sub>e</sub>) = (5, 1)
	\|}		\|}

Jet53man: /* Toroidal & Toroidal-Like */

2023-03-27T18:07:17Z

Toroidal & Toroidal-Like

← Older revision		Revision as of 14:07, 27 March 2023
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	! style="height: 150px; width: 150px; background-color:#ffff99; border-right:2px solid black; " \|<b>Self-Gravitating<br />Incompressible<br />Configurations</b>		! style="height: 150px; width: 150px; background-color:#ffff99; border-right:2px solid black; " \|<b>Self-Gravitating<br />Incompressible<br />Configurations</b>
	\|		\|
	! style="height: 150px; width: 150px; border-right:2px dashed black;" \|[[Apps/DysonPotential\|Dyson<br />(1893)]]		! style="height: 150px; width: 150px; background-color:#ffeeee; border-right:2px dashed black;" \|[[Apps/DysonPotential\|Dyson<br />(1893)]]
	\|		\|
	! style="height: 150px; width: 150px~~; background-color:#ffeeee~~; border-right:2px dashed black;" \|[[Apps/DWT#Common_Theme:_Determining_the_Gravitational_Potential_for_Axisymmetric_Mass_Distributions\|Dyson-Wong<br />Tori]]		! style="height: 150px; width: 150px; border-right:2px dashed black;" \|[[Apps/DWT#Common_Theme:_Determining_the_Gravitational_Potential_for_Axisymmetric_Mass_Distributions\|Dyson-Wong<br />Tori]]
	\|		\|
	! style="height: 150px; width: 150px; " \|[[Apps/MaclaurinToroid\|Maclaurin<br />Toroid]]<br />{{ MPT77hereafter }}		! style="height: 150px; width: 150px; " \|[[Apps/MaclaurinToroid\|Maclaurin<br />Toroid Sequence]]<br />{{ MPT77hereafter }}
	\|}		\|}
	<p> </p>		<p> </p>

Jet53man: /* Toroidal & Toroidal-Like */

2023-03-24T20:19:25Z

Toroidal & Toroidal-Like

← Older revision		Revision as of 16:19, 24 March 2023
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	! style="height: 150px; width: 150px; background-color:#ffff99; border-right:2px solid black; " \|<b>Self-Gravitating<br />Incompressible<br />Configurations</b>		! style="height: 150px; width: 150px; background-color:#ffff99; border-right:2px solid black; " \|<b>Self-Gravitating<br />Incompressible<br />Configurations</b>
	\|		\|
	! style="height: 150px; width: 150px~~; background-color:#ffeeee~~; border-right:2px dashed black;" \|[[Apps/DysonPotential\|Dyson<br />(1893)]]		! style="height: 150px; width: 150px; border-right:2px dashed black;" \|[[Apps/DysonPotential\|Dyson<br />(1893)]]
	\|		\|
	! style="height: 150px; width: 150px; " \|[[Apps/DWT#Common_Theme:_Determining_the_Gravitational_Potential_for_Axisymmetric_Mass_Distributions\|Dyson-Wong<br />Tori]]		! style="height: 150px; width: 150px; background-color:#ffeeee; border-right:2px dashed black;" \|[[Apps/DWT#Common_Theme:_Determining_the_Gravitational_Potential_for_Axisymmetric_Mass_Distributions\|Dyson-Wong<br />Tori]]
			\|
			! style="height: 150px; width: 150px; " \|[[Apps/MaclaurinToroid\|Maclaurin<br />Toroid]]<br />{{ MPT77hereafter }}
	\|}		\|}
	<p> </p>		<p> </p>

Jet53man: /* Spheroidal & Spheroidal-Like */

2023-02-03T18:00:56Z

Spheroidal & Spheroidal-Like

← Older revision		Revision as of 14:00, 3 February 2023
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	! style="height: 200px; width: 200px; border-right:2px dashed black;" \|[[File:Maclaurin01.gif\|282px\|link=Apps/MaclaurinSpheroids/GoogleBooks#Prolate_Spheroid\|Our Construction of Maclaurin's Figure 291Pt2]]		! style="height: 200px; width: 200px; border-right:2px dashed black;" \|[[File:Maclaurin01.gif\|282px\|link=Apps/MaclaurinSpheroids/GoogleBooks#Prolate_Spheroid\|Our Construction of Maclaurin's Figure 291Pt2]]
	\|		\|
	! style="height: 150px; width: 150px; background-color:maroon;" \|[[Apps/MaclaurinSpheroidSequence\|<font color="white">Maclaurin<br />Spheroid<br />Sequence</font>]]		! style="height: 150px; width: 150px; border-right:2px dashed black; background-color:maroon;" \|[[Apps/MaclaurinSpheroidSequence\|<font color="white">Maclaurin<br />Spheroid<br />Sequence</font>]]
			\|
			! style="height: 150px; width: 150px;" \|[[Apps/EriguchiHachisu/Models\|Eriguchi, Hachisu<br />& Colleagues]]
	\|}		\|}
	<p> </p>		<p> </p>

Jet53man: /* Equilibrium Structures */

2022-10-24T16:22:54Z

Equilibrium Structures

← Older revision		Revision as of 12:22, 24 October 2022
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	</td></tr>		</td></tr>
	<tr><td align="right">		<tr><td align="right">
	— Drawn from §1 of ~~[https://ui.adsabs.harvard.edu/abs/2006ApJ...639..549O/abstract Ou (2006)], ApJ, 639, 549~~		— Drawn from §1 of {{ Ou2006full }}
	</td></tr></table>		</td></tr></table>
	====Ellipsoidal & Ellipsoidal-Like====		====Ellipsoidal & Ellipsoidal-Like====
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	* [https://ui.adsabs.harvard.edu/abs/1933MNRAS..93..539C/abstract S. Chandrasekhar (1933)], MNRAS, 93, 539: ''The equilibrium of distorted polytropes. IV. the rotational and the tidal distortions as functions of the density distribution''		* [https://ui.adsabs.harvard.edu/abs/1933MNRAS..93..539C/abstract S. Chandrasekhar (1933)], MNRAS, 93, 539: ''The equilibrium of distorted polytropes. IV. the rotational and the tidal distortions as functions of the density distribution''
	* ~~[https://ui.adsabs.harvard.edu/abs/1963ApJ...138.1182C/abstract S. Chandrasekhar (1963)], ApJ, 138, 1182~~: ''The Equilibrium and the Stability of the Roche Ellipsoids''		* {{ Chandrasekhar63_XIXfull }}: ''The Equilibrium and the Stability of the Roche Ellipsoids''
	<table border="0" align="center" width="100%" cellpadding="1"><tr>		<table border="0" align="center" width="100%" cellpadding="1"><tr>
	<td align="center" width="5%"> </td><td align="left">		<td align="center" width="5%"> </td><td align="left">

Jet53man: /* Binary Systems */

2022-10-22T17:58:39Z

Binary Systems

← Older revision		Revision as of 13:58, 22 October 2022
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	====Binary Systems====		====Binary Systems====

	* ~~[https://ui.adsabs.harvard.edu/abs/1963ApJ...138.1182C/abstract S. Chandrasekhar (1963)], ApJ, 138, 1182~~: ''The Equilibrium and the Stability of the Roche Ellipsoids''		* {{ Chandrasekhar63_XIXfull }}: ''The Equilibrium and the Stability of the Roche Ellipsoids''
	* [https://ui.adsabs.harvard.edu/abs/2019ApJ...877....9H/abstract G. P. Horedt (2019)], ApJ, 877, 9: ''On the Instability of Polytropic Maclaurin and Roche Ellipsoids''		* [https://ui.adsabs.harvard.edu/abs/2019ApJ...877....9H/abstract G. P. Horedt (2019)], ApJ, 877, 9: ''On the Instability of Polytropic Maclaurin and Roche Ellipsoids''

Jet53man: /* Ellipsoidal & Ellipsoidal-Like */

2022-10-22T17:26:16Z

Ellipsoidal & Ellipsoidal-Like

← Older revision		Revision as of 13:26, 22 October 2022
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	<p> </p>		<p> </p>
	* [https://ui.adsabs.harvard.edu/abs/1985Ap.....23..654K/abstract B. P. Kondrat'ev (1985)], Astrophysics, 23, 654: ''Irrotational and zero angular momentum ellipsoids in the Dirichlet problem''		* [https://ui.adsabs.harvard.edu/abs/1985Ap.....23..654K/abstract B. P. Kondrat'ev (1985)], Astrophysics, 23, 654: ''Irrotational and zero angular momentum ellipsoids in the Dirichlet problem''
	* ~~[https://ui.adsabs.harvard.edu/abs/1993ApJS...88..205L/abstract D. Lai, F. A. Rasio & S. L. Shapiro (1993)], ApJS, 88, 205~~: ''Ellipsoidal Figures of Equilibrium: Compressible models''		* {{ LRS93bfull }}: ''Ellipsoidal Figures of Equilibrium: Compressible models''

	====Binary Systems====		====Binary Systems====

Jet53man: /* Stability Analysis */

2022-09-14T22:05:44Z

Stability Analysis

← Older revision		Revision as of 18:05, 14 September 2022
Line 312:		Line 312:
	! style="height: 150px; width: 150px; background-color:#ffeeee; border-right:2px dashed black; " \|[[SSC/Stability/MurphyFiedler85\|Murphy & Fiedler<br />(1985b)]]<br /><br />(n<sub>c</sub>, n<sub>e</sub>) = (1,5)		! style="height: 150px; width: 150px; background-color:#ffeeee; border-right:2px dashed black; " \|[[SSC/Stability/MurphyFiedler85\|Murphy & Fiedler<br />(1985b)]]<br /><br />(n<sub>c</sub>, n<sub>e</sub>) = (1,5)
	\|		\|
	! style="height: 150px; width: 150px; " \|[[SSC/Stability/BiPolytropes/HeadScratching\|Our<br />Broader<br />Analysis]]		! style="height: 150px; width: 150px; border-right:2px dashed black; " \|[[SSC/Stability/BiPolytropes/HeadScratching\|Our<br />Broader<br />Analysis]]
			\|
			! style="height: 150px; width: 150px; " \|[[SSC/Stability/BiPolytropes/SuccinctDiscussion\|Succinct<br />Discussion]]
	\|}		\|}