Revision as of 16:51, 10 June 2022

More Careful Examination of Step Function Behavior

The ideas that are captured in this chapter have arisen as an extension of our accompanying "renormalization" of the Analytic51 bipolytrope.

From among the set of governing relations that apply to spherically symmetric configurations, we focus, first, on the combined,

Euler + Poisson Equations

$\frac{d v_{r}}{d t} = - \frac{1}{ρ} \frac{d P}{d r} - \frac{G M_{r}}{r^{2}}$

@@ Line 5: / Line 5: @@
 The ideas that are captured in this chapter have arisen as an extension of our [[SSC/Structure/BiPolytropes/Analytic51Renormalize|accompanying "renormalization" of the Analytic51 bipolytrope]].
+==Discontinuous Density Distribution==
+From among the set of [[SSC/Perturbations#Governing_Equations|governing relations]] that apply to spherically symmetric configurations, we focus, first, on the combined,
+<div align="center">
+<span id="PGE:Euler"><font color="#770000">'''Euler + Poisson Equations'''</font></span><br />
+<math>\frac{dv_r}{dt} = - \frac{1}{\rho}\frac{dP}{dr} - \frac{GM_r}{r^2} </math><br />
+</div>
 =See Also=
 {{ SGFfooter }}