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- 16:48, 27 August 2014 diff hist +654 User:Tohline/SSC/BipolytropeGeneralization Version2 →More Utilitarian Form: Final step of derivation, to match earlier solutions
- 16:45, 27 August 2014 diff hist +4,917 User:Tohline/SSC/BipolytropeGeneralization Version2 →More Utilitarian Form: Derive solution from this more utilitarian form
- 00:08, 27 August 2014 diff hist +2,050 User:Tohline/SSC/BipolytropeGeneralization Version2 →Extrema and Virial Equilibrium: Insert new subsection showing how the two thermal energy terms naturally combine
- 18:38, 26 August 2014 diff hist +1,279 User:Tohline/SSC/BipolytropeGeneralization Version2 →Generalized Free-Energy Expression: Added "ASIDE" box to help draw connection with notation used in earlier derivations
- 18:24, 26 August 2014 diff hist +569 User:Tohline/SSC/BipolytropeGeneralization →Bipolytrope Generalization: Explain that this chapter contains old derivations and is labeled in entirety as Work in Progress current
- 16:38, 26 August 2014 diff hist +408 User:Tohline/SSC/BipolytropeGeneralization Version2 →Extrema and Virial Equilibrium: Finished virial theorem example
- 16:17, 26 August 2014 diff hist +582 User:Tohline/SSC/BipolytropeGeneralization Version2 →Extrema and Virial Equilibrium
- 14:01, 26 August 2014 diff hist +47 User:Tohline/SSC/BipolytropeGeneralization Version2 Move "sanity check" box discussion to "Virial Theorem Example"
- 13:55, 26 August 2014 diff hist −59,185 User:Tohline/SSC/BipolytropeGeneralization
- 13:54, 26 August 2014 diff hist −4 User:Tohline/SSC/BipolytropeGeneralization Version2 →Related Discussions
- 13:53, 26 August 2014 diff hist +9 User:Tohline/H Book →Structure:
- 13:52, 26 August 2014 diff hist +59,747 N User:Tohline/SSC/BipolytropeGeneralization Version2 Created page with '__FORCETOC__ =Bipolytrope Generalization= {{LSU_HBook_header}} ==Setup== In a [[User:Tohline/SphericallySymmetricConfigurations/Virial#Free_Energy_Expression|more general contex…'
- 13:42, 26 August 2014 diff hist +100 User:Tohline/SSC/BipolytropeGeneralization →Related Discussions
- 21:29, 25 August 2014 diff hist +284 User:Tohline/SSC/BipolytropeGeneralization →Extrema and Virial Equilibrium: Virial equilibrium statement
- 19:54, 25 August 2014 diff hist +2,943 User:Tohline/SSC/BipolytropeGeneralization →Generalized Free-Energy Expression: STart discussion virial theorem
- 19:00, 25 August 2014 diff hist +23 User:Tohline/SSC/BipolytropeGeneralization →Generalized Free-Energy Expression
- 18:55, 25 August 2014 diff hist +2,241 User:Tohline/SSC/BipolytropeGeneralization →Bipolytrope Generalization: Gathered terms to write generalized free-energy expression
- 17:13, 25 August 2014 diff hist +1,365 User:Tohline/SSC/BipolytropeGeneralization →Sanity Check: Success!
- 16:46, 25 August 2014 diff hist −1,422 User:Tohline/SSC/BipolytropeGeneralization →Sanity Check: Improve sanity Check discussion
- 21:59, 24 August 2014 diff hist −1,110 User:Tohline/SSC/BipolytropeGeneralization →Separate Thermodynamic Energy Reservoirs: Rework the definition of coefficient b_\xi
- 21:41, 24 August 2014 diff hist +627 User:Tohline/SSC/BipolytropeGeneralization →Separate Thermodynamic Energy Reservoirs: Introduce mathfrak{F} function
- 21:24, 24 August 2014 diff hist +129 User:Tohline/SSC/BipolytropeGeneralization →Separate Thermodynamic Energy Reservoirs: Point to new derivation table where "case A" normalization was used
- 21:21, 24 August 2014 diff hist +21 User:Tohline/SSC/BipolytropeGeneralization →More General Derivation of Free-Energy Coefficients B and C: add "id" tag to derivation table
- 21:19, 24 August 2014 diff hist +2,481 User:Tohline/SSC/BipolytropeGeneralization →Separate Thermodynamic Energy Reservoirs: Explain choice of pressure normalization
- 17:20, 24 August 2014 diff hist +3,514 User:Tohline/SSC/BipolytropeGeneralization →Bipolytrope: Develop "sanity check"
- 22:31, 23 August 2014 diff hist +3,220 User:Tohline/SSC/BipolytropeGeneralization →Separate Thermodynamic Energy Reservoirs: Sanity check
- 21:53, 23 August 2014 diff hist +109 m User:Tohline/SSC/BipolytropeGeneralization →Separate Thermodynamic Energy Reservoirs
- 20:17, 23 August 2014 diff hist +673 User:Tohline/SSC/BipolytropeGeneralization →Separate Thermodynamic Energy Reservoirs: More progress on pressure integrals
- 19:53, 23 August 2014 diff hist +2,470 User:Tohline/SSC/BipolytropeGeneralization →Separate Thermodynamic Energy Reservoirs: Progress on integrals
- 19:19, 23 August 2014 diff hist +60 User:Tohline/SSC/BipolytropeGeneralization →Separate Thermodynamic Energy Reservoirs: Changed "gamma" to "gamma_c" throughout definitions of p_e(x) and p_c(x)
- 19:06, 23 August 2014 diff hist +1,538 User:Tohline/SSC/BipolytropeGeneralization →Separate Thermodynamic Energy Reservoirs: More development of expressions for p_c(x) and p_e(x)
- 22:54, 22 August 2014 diff hist +6,850 User:Tohline/SSC/BipolytropeGeneralization →Bipolytrope: Derive core's thermodynamic reservoir expression for (n_c, n_e) = (0, 0) bipolytrope
- 20:47, 22 August 2014 diff hist +39 User:Tohline/SphericallySymmetricConfigurations/Virial →Implementation: Insert subsection "looking ahead to bipolytropes"
- 20:43, 22 August 2014 diff hist +12 m User:Tohline/SSC/BipolytropeGeneralization →Separate Contributions to Gravitational Potential Energy
- 21:50, 21 August 2014 diff hist +1,269 User:Tohline/SSC/BipolytropeGeneralization →Separate Contributions to Gravitational Potential Energy: Finished deriving W_grav_core for (n_c, n_e) = (5,1) bipolytrope
- 21:18, 21 August 2014 diff hist +2,382 User:Tohline/SSC/BipolytropeGeneralization →Separate Contributions to Gravitational Potential Energy: Wolfram integral
- 20:32, 21 August 2014 diff hist +33 m User:Tohline/SSC/BipolytropeGeneralization →Partitioning the Mass
- 19:27, 21 August 2014 diff hist +2,935 User:Tohline/SSC/BipolytropeGeneralization →Separate Contributions to Gravitational Potential Energy: Finished deriving gravitational potential energy for (n_c, n_e) = (0, 0) bipolytrope
- 17:10, 21 August 2014 diff hist +3,510 User:Tohline/SSC/BipolytropeGeneralization →Bipolytrope: Work on gravitational potential energy
- 21:24, 20 August 2014 diff hist +1,676 User:Tohline/SSC/BipolytropeGeneralization →Bipolytrope: Set up general structure of the (core versus envelope) gravitational potential energy terms
- 19:22, 18 August 2014 diff hist +992 User:Tohline/SSC/BipolytropeGeneralization →Partitioning the Mass: Finished deriving properties of M_r for the core of an (n_c, n_e) = (5, 1) bipolytrope
- 17:43, 18 August 2014 diff hist +860 User:Tohline/SSC/BipolytropeGeneralization →Partitioning the Mass: More derivation
- 17:21, 18 August 2014 diff hist +4,437 User:Tohline/SSC/BipolytropeGeneralization →Partitioning the Mass: Extend discussion of M_core for (n_c,n_e) = (5,1)
- 22:09, 17 August 2014 diff hist +3,949 User:Tohline/SSC/BipolytropeGeneralization →Bipolytrope: Begin detailing M_r for n=5 core.
- 22:00, 15 August 2014 diff hist +3,285 User:Tohline/SSC/BipolytropeGeneralization →Bipolytrope: Derive M_r expressions for (n_c, n_e) = (0,0) bipolytrope
- 20:51, 15 August 2014 diff hist +1,658 User:Tohline/SSC/BipolytropeGeneralization →The Core: Finished introducing separate mass integrals for core and envelope
- 19:14, 15 August 2014 diff hist +1,881 User:Tohline/SSC/BipolytropeGeneralization →Setup: in middle of editing
- 17:35, 15 August 2014 diff hist +96 User:Tohline/SSC/BipolytropeGeneralization →Review of Isolated Polytrope: Clarify density ratio expressions
- 17:02, 15 August 2014 diff hist +3,122 User:Tohline/SSC/BipolytropeGeneralization →Setup: Review single isolated polytrope setup
- 19:22, 14 August 2014 diff hist +43 User:Tohline/SSC/BipolytropeGeneralization →Setup