Template:LAWEsolutions: Difference between revisions

Revision as of 17:57, 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

@@ Line 6: / Line 6: @@
 <tr>
-   <td align="center" rowspan="2"><math>\gamma_g = 2</math><br /><p><br /><p><br />[[File:N1osc06.gif|250px|n = 1 Eigenvectors]]</td>
+   <td align="center" rowspan="2"><math>\gamma_g = (n+1)/n = 2</math><br /><p><br /><p><br />[[File:N1osc06.gif|250px|n = 1 Eigenvectors]]</td>
    <td align="center" rowspan="2"><math>\gamma_g = \tfrac{5}{3}</math><br />[[File:OurImprovedSummary2.png|250px|n = 1 Eigenvectors]]</td>
    <td align="left">Key Reference(s):
@@ Line 54: / Line 54: @@
 <tr>
-   <td align="center" rowspan="2"><math>\gamma_g = \tfrac{6}{5}</math><br />[[File:N5Truncated2.gif|250px|Truncated n = 5 Polytrope]]</td>
+   <td align="center" rowspan="2"><math>\gamma_g = (n+1)/n = \tfrac{6}{5}</math><br />[[File:N5Truncated2.gif|250px|Truncated n = 5 Polytrope]]</td>
    <td align="left">Key Reference(s):
 <ul><li>n/a</li></ul></td>