Apps/EriguchiHachisu/Models

Eriguchi, Hachisu, and their various Colleagues

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."

FESB-K80

NOTE:     Some of the results of this work are demonstratively wrong; they have been superseded by the results presented in HES82, below.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

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

EH82

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

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

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

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

EH83a

Two-Ring
… 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

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

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

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

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

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
Models having Uniform $v_{\phi }$ — §II.c, Eq. (12), p. 481
Models having j-constant rotation — §II.c, Eq. (13), p. 481

See Also

• Properties of Maclaurin Spheroids
• Excerpts from Maclaurin's (1742) A Treatise of Fluxions
• Properties of Homogeneous Ellipsoids