# User:Tohline/AxisymmetricConfigurations/Storyline

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 Revision as of 19:09, 5 July 2019 (view source)Tohline (Talk | contribs) (→Storyline)← Older edit Revision as of 19:10, 5 July 2019 (view source)Tohline (Talk | contribs) (→Storyline)Newer edit → Line 19: Line 19: ==Storyline== ==Storyline== - Once you have learned how to construct spherically symmetric, equilibrium self-gravitating configurations from gases that obey a variety of different equations of state, it is natural to ask how those structures will be modified if they are rotating.  You might naturally ask, as well, how techniques that you have learned to use to examine the stability of each spherically symmetric, equilibrium configuration — principally, linear stability analyses and free-energy analyses — might extended to permit you to examine the stability of rotating equilibrium structures. + Once you have learned how to construct spherically symmetric, equilibrium self-gravitating configurations from gases that obey a variety of different equations of state, it is natural to ask how those structures will be modified if they are rotating.  You might naturally ask, as well, how techniques that you have learned to use to examine the stability of each spherically symmetric, equilibrium configuration — principally, linear stability analyses and free-energy analyses — might be extended to permit you to examine the stability of rotating equilibrium structures. =See Also= =See Also=

# (Initially) Axisymmetric Configurations

 "As a practical matter, discussions of the effect of rotation on self-gravitating fluid masses divide into two categories: the structure of steady-state configurations, and the oscillations and the stability of these configurations." — Drawn from N. R. Lebovitz (1967), ARAA, 5, 465 We add a third category, namely, the nonlinear dynamical evolution of systems that are revealed via stability analyses to be unstable.

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## Storyline

Once you have learned how to construct spherically symmetric, equilibrium self-gravitating configurations from gases that obey a variety of different equations of state, it is natural to ask how those structures will be modified if they are rotating. You might naturally ask, as well, how techniques that you have learned to use to examine the stability of each spherically symmetric, equilibrium configuration — principally, linear stability analyses and free-energy analyses — might be extended to permit you to examine the stability of rotating equilibrium structures.

# See Also

 © 2014 - 2021 by Joel E. Tohline |   H_Book Home   |   YouTube   | Appendices: | Equations | Variables | References | Ramblings | Images | myphys.lsu | ADS | Recommended citation:   Tohline, Joel E. (2021), The Structure, Stability, & Dynamics of Self-Gravitating Fluids, a (MediaWiki-based) Vistrails.org publication, https://www.vistrails.org/index.php/User:Tohline/citation