Apps/MaclaurinToroid: Difference between revisions

From jetwiki
Jump to navigation Jump to search
← Older editNewer edit →
VisualWikitext
Line 7: Line 7:
|}
|}


Our focus, here, is on the pioneering work of [http://adsabs.harvard.edu/abs/1893RSPTA.184...43D F. W. Dyson (1893a, Philosophical Transactions of the Royal Society of London. A., 184, 43 - 95)] and [http://adsabs.harvard.edu/abs/1893RSPTA.184.1041D (1893b, Philosophical Transactions of the Royal Society of London. A., 184, 1041 - 1106)].  He used analytic techniques to determine the approximate equilibrium structure of axisymmetric, uniformly rotating, incompressible tori. [http://adsabs.harvard.edu/abs/1974ApJ...190..675W C.-Y. Wong (1974, ApJ, 190, 675 - 694)] extended Dyson's work, using numerical techniques to obtain more accurate equilibrium structures for incompressible tori having solid body rotation.  Since then, [http://adsabs.harvard.edu/abs/1981PThPh..65.1870E Y. Eriguchi & D. Sugimoto (1981, Progress of Theoretical Physics, 65, 1870 - 1875)] and [http://adsabs.harvard.edu/abs/1988ApJS...66..315H I. Hachisu, J. E. Tohline & Y. Eriguchi (1987, ApJ, 323, 592 - 613)] have mapped out the full sequence of Dyson-Wong tori, beginning from a bifurcation point on the Maclaurin spheroid sequence.
In a [[#/Apps/DysonPotential|separate chapter]], we focused on the pioneering work of {{ Dyson1893full }}, {{ Dyson1893Part2full }} and, more recently, {{ Wong74full }}, who determined the approximate equilibrium structure of axisymmetric, uniformly rotating, incompressible tori. We will refer to these ''uniformly rotating'' configurations as "Dyson-Wong tori."


 
Here, we summarize the work of {{ MPT77full }} — hereafter, {{ MPT77hereafter }} — who constructed a sequence of toroidal-shaped, self-gravitating, incompressible configurations that are not uniformly rotating but, rather, have a distribution of angular momentum that is identical to the distribution found in Maclaurin spheroids. Following the lead of {{ MPT77hereafter }}, we will refer to each of these configurations as a "Maclaurin Toroid."
 
Here, we summarize the work of {{ MPT77full }}, who constructed a sequence of toroidal-shaped, self-gravitating, incompressible configurations that have a distribution of angular momentum that is identical to the distribution found in Maclaurin spheroids.


=See Also=
=See Also=

Revision as of 16:43, 24 March 2023

Maclaurin Toroid

Maclaurin
Toroid
MPT77

In a separate chapter, we focused on the pioneering work of 📚 F. W. Dyson (1893, Phil. Trans. Royal Soc. London. A., Vol. 184, pp. 43 - 95), 📚 F. W. Dyson (1893, Phil. Trans. Royal Soc. London. A., Vol. 184, pp. 1041 - 1106) and, more recently, 📚 C. -Y. Wong (1974, ApJ, Vol. 190, pp. 675 - 694), who determined the approximate equilibrium structure of axisymmetric, uniformly rotating, incompressible tori. We will refer to these uniformly rotating configurations as "Dyson-Wong tori."

Here, we summarize the work of 📚 P. S. Marcus, W. H. Press, & S. A. Teukolsky (1977, ApJ, Vol. 214, pp. 584 - 597) — hereafter, MPT77 — who constructed a sequence of toroidal-shaped, self-gravitating, incompressible configurations that are not uniformly rotating but, rather, have a distribution of angular momentum that is identical to the distribution found in Maclaurin spheroids. Following the lead of MPT77, we will refer to each of these configurations as a "Maclaurin Toroid."

See Also

Tiled Menu

Appendices: | VisTrailsEquations | VisTrailsVariables | References | Ramblings | VisTrailsImages | myphys.lsu | ADS |

Retrieved from "https://tohline.education/SelfGravitatingFluids/index.php?title=Apps/MaclaurinToroid&oldid=59387"