Difference between revisions of "User:Tohline/Apps/RotatingWhiteDwarfs"

From VistrailsWiki
Jump to navigation Jump to search
Line 25: Line 25:
* [https://ui.adsabs.harvard.edu/abs/1968ApJ...154..613T/abstract J. -L. Tassoul & J. P. Ostriker (1968)], ApJ, 154, 613:  ''On the Oscillations and Stability of Rotating Stellar Models. I. Mathematical Techniques''
* [https://ui.adsabs.harvard.edu/abs/1968ApJ...154..613T/abstract J. -L. Tassoul & J. P. Ostriker (1968)], ApJ, 154, 613:  ''On the Oscillations and Stability of Rotating Stellar Models. I. Mathematical Techniques''
* [https://ui.adsabs.harvard.edu/abs/1969ApJ...155..987O/abstract J. P. Ostriker & J. -L. Tassoul (1969)], ApJ, 155, 987:  ''On the Oscillations and Stability of Rotating Stellar Models. II. Rapidly Rotating White Dwarfs''
* [https://ui.adsabs.harvard.edu/abs/1969ApJ...155..987O/abstract J. P. Ostriker & J. -L. Tassoul (1969)], ApJ, 155, 987:  ''On the Oscillations and Stability of Rotating Stellar Models. II. Rapidly Rotating White Dwarfs''
* [https://ui.adsabs.harvard.edu/abs/1975ApJ...195..483D/abstract R. H. Durisen (1975)], ApJ, 195, 483:  ''Viscous effects in rapidly rotating stars with application to white-dwarf models.  III. Further numerical results''
* [https://ui.adsabs.harvard.edu/abs/1975ApJ...199..179D/abstract R. H. Durisen (1975)], ApJ, 199, 179:  ''Upper mass limits for stable rotating white dwarfs''
* [https://ui.adsabs.harvard.edu/abs/1981ApJ...243..612D/abstract R. H. Durisen & J. N. Imamura (1981)], ApJ, 243, 612
* [https://ui.adsabs.harvard.edu/abs/1981ApJ...243..612D/abstract R. H. Durisen & J. N. Imamura (1981)], ApJ, 243, 612



Revision as of 23:50, 24 June 2019

Rotationally Flattened White Dwarfs

Whitworth's (1981) Isothermal Free-Energy Surface
|   Tiled Menu   |   Tables of Content   |  Banner Video   |  Tohline Home Page   |

Example Equilibrium Configurations

Uniform Rotation

 

Structures have been determined for axially symmetric [uniformly] rotating gas masses, in the polytropic and white-dwarf cases … Physical parameters for the rotating configurations were obtained for values of n < 3, and for a range of white-dwarf configurations. The existence of forms of bifurcation of the axially symmetric series of equilibrium forms was also investigated. The white-dwarf series proved to lack such points of bifurcation, but they were found on the polytropic series for n < 0.808.

Differential Rotation

 

… work by Roxburgh (1965, Z. Astrophys., 62, 134), Anand (1965, Proc. Natl. Acad. Sci. U.S., 54, 23), and James (1964, ApJ, 140, 552) shows that the [Chandrasekhar (1931, ApJ, 74, 81)] mass limit <math>~M_3</math> is increased by only a few percent when uniform rotation is included in the models, …

In this Letter we demonstrate that white-dwarf models with masses considerably greater than <math>~M_3</math> are possible if differential rotation is allowed … models are based on the physical assumption of an axially symmetric, completely degenerate, self-gravitating fluid, in which the effects of viscosity, magnetic fields, meridional circulation, and relativistic terms in the hydrodynamical equations have been neglected.

See Also


Whitworth's (1981) Isothermal Free-Energy Surface

© 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