Appendix/Ramblings/51BiPolytropeStability/NoAnalytic: Difference between revisions

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Created page with "__FORCETOC__ <!-- __NOTOC__ will force TOC off --> =Do Not Confine Search to Analytic Eigenvector= ==Outline== In the stability analysis presented by [http://adsabs.harvard.edu/abs/1985PASAu...6..222M Murphy & Fiedler (1985b)], the relevant polytropic indexes are, <math>~(n_c, n_e) = (1,5)</math>. Structural properties of the underlying equilibrium models have been reviewed in SSC/Structure/BiPolytropes/Analytic15#BiPolytrope_with_nc_.3D_1_and_ne_.3D_5|our accom..."
 
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=Do Not Confine Search to Analytic Eigenvector=
=Do Not Confine Search to Analytic Eigenvector=


==Outline==
==Overview==
In the stability analysis presented by [http://adsabs.harvard.edu/abs/1985PASAu...6..222M Murphy &amp; Fiedler (1985b)], the relevant polytropic indexes are, <math>~(n_c, n_e) = (1,5)</math>.  Structural properties of the underlying equilibrium models have been reviewed in [[SSC/Structure/BiPolytropes/Analytic15#BiPolytrope_with_nc_.3D_1_and_ne_.3D_5|our accompanying discussion]].


<font color="red"><b>STEP01:</b></font><br />
Develop an algorithm (for Excel) that numerically integrates the LAWEs from the center to the surface of a <math>(n_c, n_e) = (5, 1)</math> bipolytrope, for an arbitrary specification of the three parameters: &nbsp; <math>\mu_e/\mu_c, \xi_i</math>, and <math>\sigma_c^2</math>. 
<ul>
  <li>Enforce the proper interface matching condition(s) at the interface location, <math>\xi_i</math>.</li>
</ul>


=See Also=
=See Also=

Revision as of 19:06, 19 July 2022

Do Not Confine Search to Analytic Eigenvector

Overview

STEP01:
Develop an algorithm (for Excel) that numerically integrates the LAWEs from the center to the surface of a (nc,ne)=(5,1) bipolytrope, for an arbitrary specification of the three parameters:   μe/μc,ξi, and σc2.

  • Enforce the proper interface matching condition(s) at the interface location, ξi.

See Also

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