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- 22:19, 21 October 2013 diff hist +1,043 User:Tohline/SSC/VirialStability →Pressure Across the Interface: Begin laying out adiabatic case of pressure at the interface
- 13:50, 21 October 2013 diff hist +21 User:Tohline/SSC/VirialStability →BiPolytrope: Modify name of this subsection
- 02:12, 21 October 2013 diff hist +208 User:Tohline/SSC/VirialStability →Isothermal Core: Correct derivation
- 00:13, 20 October 2013 diff hist −19 User:Tohline/SSC/VirialStability →Expressions for Mass: Rearrange some terms in last expression
- 23:14, 19 October 2013 diff hist +369 User:Tohline/SSC/VirialStability →Isothermal Core: Simplify last expression, solving for q
- 22:23, 19 October 2013 diff hist +292 User:Tohline/SSC/VirialStability →Isothermal Core: Rewrite last expression
- 21:54, 19 October 2013 diff hist +1,131 User:Tohline/SSC/VirialStability →BiPolytrope: Derive constraint that arises from setting pressure constant across the interface, in the case of isothermal core
- 02:20, 14 October 2013 diff hist +979 User:Tohline/SSC/VirialStability →Examples: Present isothermal core examples
- 01:46, 14 October 2013 diff hist +1,441 User:Tohline/SSC/VirialStability →Virial Analysis: Finish derivation of stability condition
- 20:26, 13 October 2013 diff hist −9,295 User:Tohline/SSC/VirialStability →BiPolytrope: Redefine subsections to make discussion easier to follow
- 20:15, 13 October 2013 diff hist +5 m User:Tohline/SSC/VirialStability →Energy Expressions: Minor correction to a coefficient within the definition of internal energy
- 20:13, 13 October 2013 diff hist +268 User:Tohline/SSC/VirialStability →Virial Analysis (Final?): Check free energy coefficients and add B_I
- 16:25, 13 October 2013 diff hist +1,235 User:Tohline/SSC/VirialStability →BiPolytrope: Beginning final (?) virial presentation
- 15:58, 13 October 2013 diff hist −2,835 User:Tohline/SSC/VirialStability →Energy Expressions: Delete subsection that was temporarily copied from introduction to virial relation
- 15:55, 13 October 2013 diff hist +3,627 User:Tohline/SSC/VirialStability →Energy Expressions: Significant modification of internal energy expressions, allowing for isothermal core
- 03:16, 13 October 2013 diff hist −2,194 User:Tohline/SSC/VirialStability Streamline and correct earlier expressions for energy, heading into the 2nd try at virial analysis
- 02:59, 13 October 2013 diff hist −6,560 User:Tohline/SSC/VirialStability Deleted 1st try at virial analysis
- 02:51, 13 October 2013 diff hist −5 User:Tohline/SSC/VirialStability →Energy Expressions: Modify statements following derivation of gravitational potential energy
- 02:43, 13 October 2013 diff hist +201 User:Tohline/SSC/VirialStability →Expressions for Mass: Insert another form of nu, q, rho-ratio relation
- 01:00, 13 October 2013 diff hist −2,539 User:Tohline/SSC/VirialStability →BiPolytrope: Slight modification
- 00:52, 13 October 2013 diff hist +752 User:Tohline/SSC/VirialStability →BiPolytrope: Begin discussion of virial analysis of bipolytropes
- 00:39, 13 October 2013 diff hist 0 N File:NuVersusQ.jpg current
- 00:31, 13 October 2013 diff hist +33,824 N User:Tohline/SSC/VirialStability Begin this chapter by copying material from the Virial Equilibrium page
- 17:32, 6 October 2013 diff hist +557 User:Tohline/SphericallySymmetricConfigurations/Virial →Virial Analysis (3rd Try): Clarify isothermal relations
- 21:33, 5 October 2013 diff hist +876 User:Tohline/SphericallySymmetricConfigurations/Virial →Virial Analysis (3rd Try): Work through case of isothermal core
- 21:06, 5 October 2013 diff hist +3,098 User:Tohline/SphericallySymmetricConfigurations/Virial →Virial Analysis (3rd Try): Stability condition derived
- 20:04, 5 October 2013 diff hist +322 User:Tohline/SphericallySymmetricConfigurations/Virial →BiPolytrope: Beginning of 3rd analysis try
- 22:00, 21 July 2013 diff hist +2,460 User:Tohline/SphericallySymmetricConfigurations/Virial →Equilibria: Build table of critical values
- 17:36, 21 July 2013 diff hist +4,518 User:Tohline/SphericallySymmetricConfigurations/Virial →Virial Analysis (2nd Try): Present derivation of equilibria and stability
- 23:30, 20 July 2013 diff hist +3,505 User:Tohline/SphericallySymmetricConfigurations/Virial →BiPolytrope: Virial analysis, 2nd try
- 19:23, 20 July 2013 diff hist +2,355 User:Tohline/SphericallySymmetricConfigurations/Virial →Virial Analysis: Derive expression for free energy when R = R_eq
- 18:25, 20 July 2013 diff hist +697 User:Tohline/SphericallySymmetricConfigurations/Virial →Virial Analysis: Lay out derived result for equilibrium radius
- 17:10, 20 July 2013 diff hist +454 User:Tohline/SphericallySymmetricConfigurations/Virial →Virial Analysis: Begin identification of equilibrium radii
- 22:09, 19 July 2013 diff hist −12 User:Tohline/SphericallySymmetricConfigurations/Virial →Virial Analysis: Correct 2/3 factor on "B" coefficient
- 21:24, 19 July 2013 diff hist −71 User:Tohline/SphericallySymmetricConfigurations/Virial →Energy Expressions: Corrected 2/3 factor on internal energy
- 21:20, 19 July 2013 diff hist 0 m User:Tohline/SphericallySymmetricConfigurations/Virial →Scenarios
- 20:55, 17 July 2013 diff hist +2,017 User:Tohline/SphericallySymmetricConfigurations/Virial →BiPolytrope: Elaborate on free energy expression
- 13:56, 17 July 2013 diff hist +170 User:Tohline/SphericallySymmetricConfigurations/Virial →Virial Analysis: Rewrite free energy to look like simpler case with uniform density and single EOS
- 02:01, 17 July 2013 diff hist +748 User:Tohline/SphericallySymmetricConfigurations/Virial →BiPolytrope: Combine terms into expression for free energy
- 23:53, 16 July 2013 diff hist +226 User:Tohline/SphericallySymmetricConfigurations/Virial →Energy Expressions: Simplify expression for internal energy and put it in terms of the cloud radius, R
- 23:28, 15 July 2013 diff hist +579 User:Tohline/SphericallySymmetricConfigurations/Virial →Energy Expressions: Manipulate internal energy expression to include forcing pressures to be uniform throughout the bipolytrope
- 23:13, 13 July 2013 diff hist +1,199 User:Tohline/SphericallySymmetricConfigurations/Virial →Energy Expressions: Try to reconfigure expression for internal energy; no luck
- 20:29, 13 July 2013 diff hist +1,604 User:Tohline/SphericallySymmetricConfigurations/Virial →Expressions for Mass: Additional constraint on choice of densities
- 22:00, 11 July 2013 diff hist +1,817 User:Tohline/SphericallySymmetricConfigurations/Virial →Energy Expressions: Derive gravitational potential energy term
- 02:34, 11 July 2013 diff hist +642 User:Tohline/SphericallySymmetricConfigurations/Virial →Expressions for Mass: Add last few sentences explaining how variation will be handled
- 14:24, 10 July 2013 diff hist +607 User:Tohline/SphericallySymmetricConfigurations/Virial →Expressions for Mass: Add explanation of what is held fixed and what is varied in order to conduct an analysis of virial equilibrium and stability
- 21:38, 9 July 2013 diff hist +487 User:Tohline/SphericallySymmetricConfigurations/Virial →Expressions for Mass: Add expression relating nu to r_i -- not successful
- 16:24, 9 July 2013 diff hist +413 User:Tohline/SphericallySymmetricConfigurations/Virial →Energy Expressions: More work on internal energy
- 12:45, 9 July 2013 diff hist +407 User:Tohline/SphericallySymmetricConfigurations/Virial →Energy Expressions: Work a bit more on internal energy expression
- 11:18, 9 July 2013 diff hist +573 User:Tohline/SphericallySymmetricConfigurations/Virial →Energy Expressions: Lay out internal energy expression
