Template:LAWEsolutions

Isolated n = 1 Polytrope
${\gamma }_g=(n+1)/n=2$	${\gamma }_g=\frac{5}{3}$	Key Reference(s): 📚 Chatterji (1951)
		Relevant Chapters: Isolated n = 1 Polytrope Origin of Planetary Nebulae

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

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

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