ThreeDimensionalConfigurations/Stability/RiemannEllipsoids: Difference between revisions
| Line 17: | Line 17: | ||
==Background== | ==Background== | ||
In Figure 1, the abscissa is the ratio <math>b/a</math> of semiaxes in the equatorial plane, and the ordinate is the ratio <math>c/a</math> of the vertical semiaxis to the larger of the equatorial semi axes. This diagram | In Figure 1, the abscissa is the ratio <math>b/a</math> of semiaxes in the equatorial plane, and the ordinate is the ratio <math>c/a</math> of the vertical semiaxis to the larger of the equatorial semi axes. This diagram shows what {{ LL96 }} — hereafter, {{ LL96hereafter }} — refer to as "<font color="darkgreen">the horn-shaped region of existence of S-type ellipsoids and the Jacobi family</font>;" it underpins all four panels of the {{ LL96hereafter }} Figure 2. | ||
< | |||
<table border="1" align="center" cellpadding="8"><tr><td align="center"> | |||
'''Figure 1:''' The ''Horn-Shaped'' Region of S-type Ellipsoids</td></tr> | |||
<tr><td align="center"> | |||
[[File:EFEdiagram02.png|350px|EFE Diagram02]] | [[File:EFEdiagram02.png|350px|EFE Diagram02]] | ||
</ | </td></tr></table> | ||
=See Also= | =See Also= | ||
Revision as of 19:03, 11 December 2021
Lebovitz & Lifschitz (1996)
| Lebovitz & Lifschitz (1996) |
|---|
Here we review the work of 📚 N. R. Lebovitz, & A. Lifschitz (1996, ApJ, Vol. 458, pp. 699 - 713) titled, "New Global Instabilities of the Riemann ellipsoids," and discuss various extensions that have been made to this work. We were prompted to tackle this review by an email that was received in December 2021 from Howard Cohl.
Background
In Figure 1, the abscissa is the ratio of semiaxes in the equatorial plane, and the ordinate is the ratio of the vertical semiaxis to the larger of the equatorial semi axes. This diagram shows what 📚 Lebovitz & Lifschitz (1996) — hereafter, LL96 — refer to as "the horn-shaped region of existence of S-type ellipsoids and the Jacobi family;" it underpins all four panels of the LL96 Figure 2.
| Figure 1: The Horn-Shaped Region of S-type Ellipsoids |
|
|
See Also
|
|---|
|
Appendices: | VisTrailsEquations | VisTrailsVariables | References | Ramblings | VisTrailsImages | myphys.lsu | ADS | |