Template:LAWEsolutions: Difference between revisions

Latest revision as of 18:18, 1 November 2023

Isolated n = 1 Polytrope

γ_{g} = (n + 1) / n = 2

γ_{g} = \frac{5}{3}

Key Reference(s):

Relevant Chapters:

Isolated n = 3 Polytrope
$γ_{g} = \frac{20}{13}$	Key Reference(s): 📚 Schwarzschild (1941)
	Relevant Chapters: Radial Oscillations of n = 3 Polytropic Spheres Origin of Planetary Nebulae

Pressure-Truncated n = 5 Polytrope
$γ_{g} = (n + 1) / n = \frac{6}{5}$	Key Reference(s): n/a
	Relevant Chapters: Radial Oscillations of n = 5 Polytropic Spheres Origin of Planetary Nebulae

Pressure-Truncated Isothermal (n = ∞) Sphere
$γ_{g} = 1$	Key Reference(s): 📚 Yabushita (1968) 📚 Taff, & van Horn (1974)
	Relevant Chapters: Radial Oscillations of Isothermal Spheres Origin of Planetary Nebulae

@@ Line 17: / Line 17: @@
 <li>[[SSC/Structure/BiPolytropes/Analytic51Renormalize#Isolated_n_=_1_Polytrope|Isolated n = 1 Polytrope]]</li>
 <li>[[Appendix/Ramblings/OriginOfPlanetaryNebulae#Polytropes|Origin of Planetary Nebulae]]</li>
-</ul></td>
+</ul>
+  </td>
 </tr>
@@ Line 65: / Line 66: @@
 <li>[[Appendix/Ramblings/OriginOfPlanetaryNebulae#Pressure-Truncated_n_=_5_Polytrope_with_γg_=_6/5|Origin of Planetary Nebulae]]</li>
 </ul></td>
+</tr>
+</table>
+<table border="1" align="center" cellpadding="5">
+<tr>
+  <td align="center" colspan="2"><b>Pressure-Truncated Isothermal (n = &infin;) Sphere</b></td>
+</tr>
+<tr>
+  <td align="center" rowspan="2"><math>\gamma_g = 1</math><br />[[File:TaffVanHorn1974Harmonic.gif|250px|Truncated n = 5 Polytrope]]</td>
+  <td align="left">Key Reference(s):
+<ul>
+  <li>{{ Yabushita68 }}</li>
+  <li>{{ TVH74 }}</li></ul>
+</td>
+</tr>
+<tr>
+  <td align="left">Relevant Chapters:
+<ul>
+<li>[[SSC/Stability/Isothermal#Previously_Published_Eigenvalues_and_Eigenfunctions|Radial Oscillations of Isothermal Spheres]]</li>
+<li>[[Appendix/Ramblings/OriginOfPlanetaryNebulae#Pressure-Truncated_n_=_5_Polytrope_with_γg_=_6/5|Origin of Planetary Nebulae]]</li>
+</ul>
+</td>
 </tr>
 </table>