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==Context== <ol type="I"> <li><font color="pink">♣</font> [[PGE|Principal Governing Equations]] (PGEs) <ol type="A"> <li><font color="pink">♣</font> [[Cylindrical3D|Equations Cast in Cylindrical Coordinates]]</li> </ol> </li> <li><font color="pink">♣</font> [[PGE/ConservingMass|Continuity]]</li> <li><font color="pink">♣</font> [[PGE/Euler|Euler]] <ol type="A"> <li>[[AxisymmetricConfigurations/SolutionStrategies|Axisymmetric Configurations (Solution Strategies)]]; Double check vector identities ⇐ also includes "Simple Rotation Profiles"</li> <li> <font color="pink">♣</font> [[PGE/RotatingFrame|Rotating Reference Frame]]; Euler equation viewed from a rotating frame of reference <ol type="1"> <li>[[Apps/RiemannEllipsoidsCompressible|Compressible Analogs of Riemann S-Type Ellipsoids]]; Nonlinear velocity cross-product </li> <li><font color="pink">♣</font> [[Apps/Korycansky_Papaloizou_1996|Korycansky and Papaloizou (1996)]]; Nonlinear velocity cross-product ⇐ bottom displays [https://digitalcommons.lsu.edu/gradschool_disstheses/6650/ Andalib] velocity maps</li> </ol> </li> <li><font color="pink">♣</font> [[PGE/ConservingMomentum|Euler Equation (Conserving Momentum)]]; Earlier draft of "Euler" presentation</li> </ol> </li> <li><font color="pink">♣</font> [[PGE/FirstLawOfThermodynamics|1<sup>st</sup> Law of Thermodynamics]] <ol type="A"> <li><font color="pink">♣</font> [[Appendix/Ramblings/Radiation/RadHydro|Radiation-Hydrodynamcis]]; Nonadiabatic (optically thick) environments </li> </ol> </li> <li><font color="pink">♣</font> [[PGE/PoissonOrigin|Poisson]]</li> <li><font color="pink">♣</font> [[VE|Global Energy Considerations]]</li> <li><font color="pink">♣</font> [[SR|Equation of State]] (EOS) <ol type="A"> <li>[[2DStructure/AxisymmetricInstabilities|Axisymmetric Instabilities to Avoid]]; Poincaré-Wavre theorem</li> <li>[[SSC/Structure/BiPolytropes/Analytic1.53#BetaDefinition|BiPolytrope with <math>(n_c, n_e) = (\tfrac{3}{2}, 3)</math>]]; The parameter, β <font color="orange">[Chapter has been segmented into 3 Parts]</font></li> </ol> </li> <li><font color="pink">♣</font> [[SR/IdealGas|Ideal Gas]]</li> <li><font color="pink">♣</font> [[SR/PressureCombinations|Total Pressure]] <ol type="A"> <li><font color="pink">♣</font> [[SR/Ptot_QuarticSolution|Determining Temperature from Density & Pressure]]; A solution to quartic equation </li> </ol> </li> <li><font color="pink">♣</font> [[Apps/SMS|Bond, Arnett, & Carr (1984)]] <ol type="A"> <li>[[SSC/Perturbations|Spherically Symmetric Configurations (Stability — Part II)]]; Brief summary of Ledoux and Pekeris (1941) <font color="orange">[Chapter needs to be segmented …]</font> </li> </ol> </li> </ol>
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