Apps/EriguchiHachisu/Models: Difference between revisions

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=Eriguchi, Hachisu, and their various Colleagues=
=Eriguchi, Hachisu, and their various Colleagues=
 
==The Beginning==
==Eriguchi78==
===Eriguchi78===
<div align="center">
<div align="center">
{{ Eriguchi78figure }}<br />
{{ Eriguchi78figure }}<br />
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</div>
</div>


==Hachisu82==
===Hachisu82===
<div align="center">
<div align="center">
{{ Hachisu82figure }}<br />
{{ Hachisu82figure }}<br />
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</div>
</div>


==FESB-K80==
==Principally Incompressible Configurations==
 
===FESB-K80===
<font color="red">NOTE:</font> &nbsp; &nbsp; Some of the results of this work are demonstratively wrong; they have been superseded by the results (with attending explanation) presented in [[#HES82|HES82, below]].
<font color="red">NOTE:</font> &nbsp; &nbsp; Some of the results of this work are demonstratively wrong; they have been superseded by the results (with attending explanation) presented in [[#HES82|HES82, below]].
<div align="center">{{ FESB-K80figure }}</div>
<div align="center">{{ FESB-K80figure }}</div>
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==ES81==
===ES81===
<font color="darkgreen"><b>Concave Hamburger: One-Ring</b> (incompressible case)</font><br />&hellip; as categorized in {{ HE84c }}; also see [[#HE84c|HE84c]], below.
<font color="darkgreen"><b>Concave Hamburger: One-Ring</b> (incompressible case)</font><br />&hellip; as categorized in {{ HE84c }}; also see [[#HE84c|HE84c]], below.
<div align="center">{{ ES81figure }}</div>
<div align="center">{{ ES81figure }}</div>
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</table>
</table>


==HES82==
===HES82===
<font color="darkgreen"><b>Concave Hamburger: One-Ring</b> (compressible, as well as, incompressible case)</font><br />&hellip; as categorized in {{ HE84c }}; also see [[#HE84c|HE84c]], below.
<font color="darkgreen"><b>Concave Hamburger: One-Ring</b> (compressible, as well as, incompressible case)</font><br />&hellip; as categorized in {{ HE84c }}; also see [[#HE84c|HE84c]], below.
<div align="center">{{ HES82figure }}</div>
<div align="center">{{ HES82figure }}</div>
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</table>
</table>


==EH82==
===EH82===
<font color="darkgreen"><b>Triangle: Square: Ammonite</b></font> and <font color="darkgreen"><b>Two-Ring</b> (pt. 1)</font><br />&hellip; as categorized in {{ HE84c }}; also see [[#HE84c|HE84c]]   
<font color="darkgreen"><b>Triangle: Square: Ammonite</b></font> and <font color="darkgreen"><b>Two-Ring</b> (pt. 1)</font><br />&hellip; as categorized in {{ HE84c }}; also see [[#HE84c|HE84c]]   
<div align="center">{{ EH82figure }}</div>
<div align="center">{{ EH82figure }}</div>
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</table>
</table>


==EHS82==
===EHS82===
<font color="darkgreen"><b>Dumb-Bell: Pear-Shaped</b></font><br />&hellip; as categorized in {{ HE84c }}; also see [[#HE84c|HE84c]], below.
<font color="darkgreen"><b>Dumb-Bell: Pear-Shaped</b></font><br />&hellip; as categorized in {{ HE84c }}; also see [[#HE84c|HE84c]], below.
<div align="center">{{ EHS82figure }}</div>
<div align="center">{{ EHS82figure }}</div>
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</table>
</table>


==EH83a==
===EH83a===
<font color="darkgreen"><b>Two-Ring</b> (pt. 2)</font><br />&hellip; as categorized in {{ HE84c }}; also see [[#HE84c|HE84c]], below.
<font color="darkgreen"><b>Two-Ring</b> (pt. 2)</font><br />&hellip; as categorized in {{ HE84c }}; also see [[#HE84c|HE84c]], below.
<div align="center">{{ EH83afigure }}</div>
<div align="center">{{ EH83afigure }}</div>
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</table>
</table>


==EH83b==
===EH83b===
<font color="darkgreen"><b>Multi-Body</b></font><br />&hellip; as categorized in {{ HE84c }}; also see [[#HE84c|HE84c]], below.
<font color="darkgreen"><b>Multi-Body</b></font><br />&hellip; as categorized in {{ HE84c }}; also see [[#HE84c|HE84c]], below.
<div align="center">{{ EH83bfigure }}</div>
<div align="center">{{ EH83bfigure }}</div>
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</table>
</table>


==HE84c==
===HE84c===
<font color="darkgreen"><b>Summary</b></font>
<font color="darkgreen"><b>Summary</b></font>
<div align="center">{{ HE84cfigure }}</div>
<div align="center">{{ HE84cfigure }}</div>
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</ol>
</ol>


==HE84==
===HE84===
<div align="center">{{ HE84figure }}</div>
<div align="center">{{ HE84figure }}</div>
<table border="1" align="center" cellpadding="5">
<table border="1" align="center" cellpadding="5">
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</ol>
</ol>


==HE83==
===HE83===
<div align="center">{{ HE83figure }}</div>
<div align="center">{{ HE83figure }}</div>
<table border="1" align="center" cellpadding="5">
<table border="1" align="center" cellpadding="5">
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</table>
</table>


==Hachisu86a==
===Hachisu86a===


<div align="center">{{ Hachisu86afigure }}</div>
<div align="center">{{ Hachisu86afigure }}</div>

Revision as of 14:21, 6 February 2023

Eriguchi, Hachisu, and their various Colleagues

The Beginning

Eriguchi78

Y. Eriguchi (1978)
Hydrostatic Equilibria of Rotating Polytropes
Publications of the Astronomical Society of Japan, Vol. 30, pp. 507 - 518
(p. 515):   "This paper is based on the author's dissertation, submitted to the University of Tokyo, in partial fulfillment of the requirements for the doctorate."

Hachisu82

📚 Hachisu (1982)
Gravothermal and Gravogyro Catastrophes of Rotating and Self-Gravitating Gaseous Disks
Publications of the Astronomical Society of Japan, Vol. 34, pp. 313 - 335
(p. 333):   "This paper is based on the author's dissertation, submitted to the University of Tokyo, in partial fulfillment of the requirements for the doctorate."

Principally Incompressible Configurations

FESB-K80

NOTE:     Some of the results of this work are demonstratively wrong; they have been superseded by the results (with attending explanation) presented in HES82, below.

T. Fukushima, Y. Eriguchi, D. Sugimoto, & G. S. Bisnovatyi-Kogan (1980)
Concave Hamburger Equilibrium of Rotating Bodies
Progress of Theoretical Physics, Vol. 63, No. 6, pp. 1957 - 1970

ES81

Concave Hamburger: One-Ring (incompressible case)
… as categorized in 📚 Hachisu & Eriguchi (1984c); also see HE84c, below.

Y. Eriguchi & D. Sugimoto (1981)
Another Equilibrium Sequence of Self-Gravitating and Rotating Incompressible Fluid
Progress of Theoretical Physics, Vol. 65, No. 6, pp. 1870 - 1875
ES81Table1 ES81Fig1 ES81Fig2

HES82

Concave Hamburger: One-Ring (compressible, as well as, incompressible case)
… as categorized in 📚 Hachisu & Eriguchi (1984c); also see HE84c, below.

I. Hachisu, Y. Eriguchi, & D. Sugimoto (1982)
Rapidly Rotating Polytropes and Concave Hamburger Equilibrium
Progress of Theoretical Physics, Vol. 68, No. 1, pp. 191 - 205
HES82Table1 HES82Fig3 HES82Hamburger

EH82

Triangle: Square: Ammonite and Two-Ring (pt. 1)
… as categorized in 📚 Hachisu & Eriguchi (1984c); also see HE84c

Y. Eriguchi & I. Hachisu (1982)
New Equilibrium Sequences Bifurcating from Maclaurin Sequence
Progress of Theoretical Physics, Vol. 67, No. 3, pp. 844 - 851
EH82Fig2 EH82Fig3 EH82Fig4
See Saturn discussion See Saturn discussion See Saturn discussion

NOTE: Color images copied from our separate discussion of binary mass-transfer simulations.


EH82Table1 EH82Fig1 EH82TableV EH82Fig5

EHS82

Dumb-Bell: Pear-Shaped
… as categorized in 📚 Hachisu & Eriguchi (1984c); also see HE84c, below.

Y. Eriguchi, I. Hachisu, & D. Sugimoto (1982)
Dumb-Bell-Shape Equilibria and Mass-Shedding Pear-Shape
of Selfgravitating Incompressible Fluid

Progress of Theoretical Physics, Vol. 67, No. 4, pp. 1068 - 1075
EHS82Fig1 EHS82Fig2 EHS82Fig3 EHS82Fig4

EH83a

Two-Ring (pt. 2)
… as categorized in 📚 Hachisu & Eriguchi (1984c); also see HE84c, below.

Y. Eriguchi & I. Hachisu (1983a)
Two Kinds of Axially Symmetric Equilibrium Sequences of Self-Gravitating and Rotating Incompressible Fluid
— Two-Ring Sequence and Core-Ring Sequence —

Progress of Theoretical Physics, Vol. 69, No. 4, pp. 1131 - 1136
EH83aFig3 EH83aCaption3
EH83aFig2 EH83aCaption2

EH83b

Multi-Body
… as categorized in 📚 Hachisu & Eriguchi (1984c); also see HE84c, below.

Y. Eriguchi & I. Hachisu (1983b)
Gravitational Equilibrium of a Multi-Body Fluid System
Progress of Theoretical Physics, Vol. 70, No. 6, pp. 1534 - 1541
EH83bFig3 EH83bFig4 EH83bFig2

HE84c

Summary

I. Hachisu & Y. Eriguchi (1984c)
Fission Sequence and Equilibrium Models of Rigidity [sic] Rotating Polytropes
in Double Stars, Physical Properties and Generic Relations; Proceedings of IAU Colloquium No. 80 held at Lambing, Java, June 3-7, 1983
Editors: Bambang Hidayat, Zdenek Kopal, Jurgen Rahe; Dordrecht, D. Reidel Publishing Co.
Astrophysics & Space Science, Vol. 99, pp. 71 - 74
HE84cFig1
HE84cFission
Also see our separate discussion of the Fission Hypothesis

HE84

I. Hachisu & Y. Eriguchi (1984)
Bifurcation Points on the Maclaurin Sequence
Publications of the Astronomical Society of Japan, Vol. 36, No. 3, pp. 497 - 503
BifurcationPointsHE84 HE84Table1

HE83

I. Hachisu & Y. Eriguchi (1983)
Bifurcations and Phase Transitions of Self-Gravitating and Uniformly Rotating Fluid
Monthly Notices of the Royal Astronomical Society, Vol. 204, pp. 583 - 589
HE83Fig1

Hachisu86a

I. Hachisu (1986a)
A Versatile Method for Obtaining Structures of Rapidly Rotating Stars
The Astrophysical Journal Supplement Series, Vol. 61, pp. 479 - 507

Models having Uniform Rotation — §II.c, Eq. (11), p. 481

Hachisu86aFig3 Hachisu86aTableI Hachisu86aFig2 Hachisu86aFig4

Models having Uniform vφ — §II.c, Eq. (12), p. 481

Hachisu86aFig15vConstant Hachisu86aTable2
   Hachisu86aFig12Pt1
   Hachisu86aFig12Pt2
   Hachisu86aFig12Caption
Hachisu86aFig16vConstant

Models having j-constant rotation — §II.c, Eq. (13), p. 481

See Also


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