Difference between revisions of "User:Tohline/Appendix/Ramblings/ForDurisen"
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<li><font size="+1">[[User:Tohline/H_BookTiledMenu#Tiled_Menu|Tiled Menu]]:</font> Most ''tiles'' presented on this ''menu'' page contain a short title that is linked to a hypertext-enhanced chapter in which a technical discussion of the identified topic is discussed.</li> | <li><font size="+1">[[User:Tohline/H_BookTiledMenu#Tiled_Menu|Tiled Menu]]:</font> Most ''tiles'' presented on this ''menu'' page contain a short title that is linked to a hypertext-enhanced chapter in which a technical discussion of the identified topic is discussed.</li> | ||
<li><font size="+1">[[User:Tohline/Appendix/Ramblings#Ramblings|Ramblings]]:</font> This appendix contains a long list of additional (mostly technical) topics that have been explored, to date — topics that are related to, but usually are not highlighted as a tile, on the primary menu page.<p><br /></p> | <li><font size="+1">[[User:Tohline/Appendix/Ramblings#Ramblings|Ramblings]]:</font> This appendix contains a long list of additional (mostly technical) topics that have been explored, to date — topics that are related to, but usually are not highlighted as a tile, on the primary menu page.<p><br /></p> | ||
<li>[[User:Tohline/SSC/Stability/InstabilityOnsetOverview#Marginally_Unstable_Pressure-Truncated_Gas_Clouds|Equilibrium Sequence Turning Points]]: As the abstract of this hypertext-enhanced chapter highlights, we have proven analytically that a turning point along the equilibrium sequence of pressure-truncated (spherical) polytropes is precisely associated with the onset of a ''dynamical'' instability. This has generally been expected/assumed, but as far as we have been able to determine, it has not previously been proven analytically. | <li>[[User:Tohline/SSC/Stability/InstabilityOnsetOverview#Marginally_Unstable_Pressure-Truncated_Gas_Clouds|Equilibrium Sequence Turning Points]]: As the abstract of this hypertext-enhanced chapter highlights, we have proven analytically that a turning point along the equilibrium sequence of pressure-truncated (spherical) polytropes is precisely associated with the onset of a ''dynamical'' instability. This has generally been expected/assumed, but as far as we have been able to determine, it has not previously been proven analytically.</li> | ||
<li>[[User:Tohline/ThreeDimensionalConfigurations/RiemannStype#Type_I_Ellipsoid_Example_b1.25c0.470|Type I Riemann Ellipsoids]]: With the assistance of COLLADA (an XML-formatted 3D visualization language), we have determined that when a Type-I Riemann ellipsoid is viewed from a frame of reference in which the ellipsoid is stationary, each Lagrangian fluid element moves along an elliptical orbit … | |||
<ol type="a"> | |||
<li>that is inclined to the equatorial plane of the ellipsoid (this is not an unexpected ''feature'' of Type-I ellipsoids);</li> | |||
<li>whose center is offset from the rotation axis — as well as from any of the principal geometric axes — of the ellipsoid (as far as we have been able to determine, this has not previously been documented in the published literature).</li> | |||
</ol> | |||
</li> | |||
</ul> | </ul> | ||
Revision as of 00:03, 2 March 2020
For Richard H. Durisen
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Highlights Mentioned on 1 March 2020
- Tiled Menu: Most tiles presented on this menu page contain a short title that is linked to a hypertext-enhanced chapter in which a technical discussion of the identified topic is discussed.
- Ramblings: This appendix contains a long list of additional (mostly technical) topics that have been explored, to date — topics that are related to, but usually are not highlighted as a tile, on the primary menu page.
- Equilibrium Sequence Turning Points: As the abstract of this hypertext-enhanced chapter highlights, we have proven analytically that a turning point along the equilibrium sequence of pressure-truncated (spherical) polytropes is precisely associated with the onset of a dynamical instability. This has generally been expected/assumed, but as far as we have been able to determine, it has not previously been proven analytically.
- Type I Riemann Ellipsoids: With the assistance of COLLADA (an XML-formatted 3D visualization language), we have determined that when a Type-I Riemann ellipsoid is viewed from a frame of reference in which the ellipsoid is stationary, each Lagrangian fluid element moves along an elliptical orbit …
- that is inclined to the equatorial plane of the ellipsoid (this is not an unexpected feature of Type-I ellipsoids);
- whose center is offset from the rotation axis — as well as from any of the principal geometric axes — of the ellipsoid (as far as we have been able to determine, this has not previously been documented in the published literature).
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