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Fig. 3 extracted without modification from p. 1134 of [https://ui.adsabs.harvard.edu/abs/1983PThPh..69.1131E/abstract Eriguchi &amp; Hachisu (1983)]<p></p>
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Fig. 2 extracted without modification from p. 517 of [https://ui.adsabs.harvard.edu/abs/2003MNRAS.339..515A/abstract Ansorg, Kleinw&auml;chter &amp; Meinel (2003)]<p></p>
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"''Two Kinds of Axially Symmetric Equilibrium Sequences of Self-Gravitating and Rotating Incompressible Fluids:<br />Two-Ring Sequence and Core-Ring Sequence''"<p></p>
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"''Uniformly rotating axisymmetric fluid configurations bifurcating from highly flattened Maclaurin spheroids''"<p></p>
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Progress of Theoretical Physics, <p></p>
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MNRAS, vol. 339, pp. 515-523 &copy; Royal Astronomical Society
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vol. 69, pp. 1131-1136 &copy; Progress of Theoretical Physics
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Revision as of 17:25, 29 July 2020

Contents

Université de Bordeaux (Part 2)

Whitworth's (1981) Isothermal Free-Energy Surface
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Exterior Gravitational Potential of Toroids

J. -M. Huré, B. Basillais, V. Karas, A. Trova, & O. Semerák (2020), MNRAS, 494, 5825-5838 have published a paper titled, The Exterior Gravitational Potential of Toroids. Here we examine how their work relates to the published work by C.-Y. Wong (1973, Annals of Physics, 77, 279), which we have separately discussed in detail.

We discuss this topic in a separate, accompanying chapter.

Spheroid-Ring Systems

Through a research collaboration at the Université de Bordeaux, B. Basillais & J. -M. Huré (2019), MNRAS, 487, 4504-4509 have published a paper titled, Rigidly Rotating, Incompressible Spheroid-Ring Systems: New Bifurcations, Critical Rotations, and Degenerate States.

Key References

Here are some relevant publications:

Especially,

Key Figures

Eriguchi & Hachisu (1983)

Fig. 3 extracted without modification from p. 1134 of Eriguchi & Hachisu (1983)

"Two Kinds of Axially Symmetric Equilibrium Sequences of Self-Gravitating and Rotating Incompressible Fluids:
Two-Ring Sequence and Core-Ring Sequence
"

Progress of Theoretical Physics,

vol. 69, pp. 1131-1136 © Progress of Theoretical Physics

Figure 3 from Eriguchi & Hachisu (1983)

CAPTION:  The angular momentum-angular velocity relations. Solid curves represent uniformly rotating equilibrium sequences.

  • MS:   Maclaurin spheroid sequence
  • JE:   Jacobi ellipsoid sequence
  • OR:   one-ring sequence

The number and letter R or C attached to a curve denote mass ratio and two-ring or core-ring sequence, respectively. If differential rotation is allowed, the equilibrium sequences may continue to exist as shown by the dashed curves.

AKM (2003)

Fig. 2 extracted without modification from p. 517 of Ansorg, Kleinwächter & Meinel (2003)

"Uniformly rotating axisymmetric fluid configurations bifurcating from highly flattened Maclaurin spheroids"

MNRAS, vol. 339, pp. 515-523 © Royal Astronomical Society

Figure 3 from Eriguchi & Hachisu (1983)

CAPTION:  The angular momentum-angular velocity relations. Solid curves represent uniformly rotating equilibrium sequences.

  • MS:   Maclaurin spheroid sequence
  • JE:   Jacobi ellipsoid sequence
  • OR:   one-ring sequence

The number and letter R or C attached to a curve denote mass ratio and two-ring or core-ring sequence, respectively. If differential rotation is allowed, the equilibrium sequences may continue to exist as shown by the dashed curves.


Whitworth's (1981) Isothermal Free-Energy Surface

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