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> Some of the results of this work are demonstratively wrong; they have been superseded by the results (with attending explanation) presented in [[#HES82|HES82, below]].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> Some of the results of this work are demonstratively wrong; they have been superseded by the results (with attending explanation) presented in [[#HES82|HES82, below]].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 />… as categorized in {{ HE84c }}; also see [[#HE84c|HE84c]], below. | <font color="darkgreen"><b>Concave Hamburger: One-Ring</b> (incompressible case)</font><br />… 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 />… 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 />… 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 />… 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 />… 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 />… as categorized in {{ HE84c }}; also see [[#HE84c|HE84c]], below. | <font color="darkgreen"><b>Dumb-Bell: Pear-Shaped</b></font><br />… 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 />… as categorized in {{ HE84c }}; also see [[#HE84c|HE84c]], below. | <font color="darkgreen"><b>Two-Ring</b> (pt. 2)</font><br />… 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 />… as categorized in {{ HE84c }}; also see [[#HE84c|HE84c]], below. | <font color="darkgreen"><b>Multi-Body</b></font><br />… 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.
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.
Another Equilibrium Sequence of Self-Gravitating and Rotating Incompressible Fluid
Progress of Theoretical Physics, Vol. 65, No. 6, pp. 1870 - 1875
HES82
Concave Hamburger: One-Ring (compressible, as well as, incompressible case)
… as categorized in 📚 Hachisu & Eriguchi (1984c); also see HE84c, below.
Rapidly Rotating Polytropes and Concave Hamburger Equilibrium
Progress of Theoretical Physics, Vol. 68, No. 1, pp. 191 - 205
EH82
Triangle: Square: Ammonite and Two-Ring (pt. 1)
… as categorized in 📚 Hachisu & Eriguchi (1984c); also see HE84c
New Equilibrium Sequences Bifurcating from Maclaurin Sequence
Progress of Theoretical Physics, Vol. 67, No. 3, pp. 844 - 851
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NOTE: Color images copied from our separate discussion of binary mass-transfer simulations. |
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EHS82
Dumb-Bell: Pear-Shaped
… as categorized in 📚 Hachisu & Eriguchi (1984c); also see HE84c, below.
Dumb-Bell-Shape Equilibria and Mass-Shedding Pear-Shape
of Selfgravitating Incompressible Fluid
Progress of Theoretical Physics, Vol. 67, No. 4, pp. 1068 - 1075
EH83a
Two-Ring (pt. 2)
… as categorized in 📚 Hachisu & Eriguchi (1984c); also see HE84c, below.
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
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EH83b
Multi-Body
… as categorized in 📚 Hachisu & Eriguchi (1984c); also see HE84c, below.
Gravitational Equilibrium of a Multi-Body Fluid System
Progress of Theoretical Physics, Vol. 70, No. 6, pp. 1534 - 1541
HE84c
Summary
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
Also see our separate discussion of the Fission Hypothesis |
HE84
Bifurcation Points on the Maclaurin Sequence
Publications of the Astronomical Society of Japan, Vol. 36, No. 3, pp. 497 - 503
HE83
Bifurcations and Phase Transitions of Self-Gravitating and Uniformly Rotating Fluid
Monthly Notices of the Royal Astronomical Society, Vol. 204, pp. 583 - 589
Hachisu86a
A Versatile Method for Obtaining Structures of Rapidly Rotating Stars
The Astrophysical Journal Supplement Series, Vol. 61, pp. 479 - 507
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Models having Uniform Rotation — §II.c, Eq. (11), p. 481 |
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Models having Uniform — §II.c, Eq. (12), p. 481 |
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Models having j-constant rotation — §II.c, Eq. (13), p. 481 |
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See Also
- Properties of Maclaurin Spheroids
- Excerpts from Maclaurin's (1742) A Treatise of Fluxions
- Properties of Homogeneous Ellipsoids
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Appendices: | VisTrailsEquations | VisTrailsVariables | References | Ramblings | VisTrailsImages | myphys.lsu | ADS | |