Polytropes: Applications in Astrophysics and Related Fields
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Dordrecht
Springer Netherlands
2004
|
| Schriftenreihe: | Astrophysics and Space Science Library
306 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | While it seems possible to present a fairly complete uni?ed theory of undistorted polytropes, as attempted in the previous chapter, the theory of distorted polytropes is much more extended and - phisticated, so that I present merely a brief overview of the theories that seem to me most interesting and important. Basically, the methods proposed to study the hydrostatic equilibrium of a distorted self-gravitating mass can be divided into two major groups (Blinnikov 1975): (i) Analytic or semia- lytic methods using a small parameter connected with the distortion of the polytrope. (ii) More or less accurate numerical methods. Lyapunov and later Carleman (see Jardetzky 1958, p. 13) have demonstrated that a sphere is a unique solution to the problem of hydrostatic equilibrium for a ?uid mass at rest in tridimensional space. The problem complicates enormously if the sphere is rotating rigidly or di?erentially in space round an axis, and/or if it is distorted magnetically or tidally. Even for the simplest case of a uniformly rotating ?uid body with constant density not all possible solutions have been found (Zharkov and Trubitsyn 1978, p. 222). The sphere becomes an oblate ?gure, and we have no a priori knowledge of its strati?cation, boundary shape, planes of symmetry, transfer of angular momentum in di?erentially rotating bodies, etc |
| Beschreibung: | 1 Online-Ressource (VIII, 724 p) |
| ISBN: | 9781402023514 9781402023507 |
| DOI: | 10.1007/1-4020-2351-0 |
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| 500 | |a While it seems possible to present a fairly complete uni?ed theory of undistorted polytropes, as attempted in the previous chapter, the theory of distorted polytropes is much more extended and - phisticated, so that I present merely a brief overview of the theories that seem to me most interesting and important. Basically, the methods proposed to study the hydrostatic equilibrium of a distorted self-gravitating mass can be divided into two major groups (Blinnikov 1975): (i) Analytic or semia- lytic methods using a small parameter connected with the distortion of the polytrope. (ii) More or less accurate numerical methods. Lyapunov and later Carleman (see Jardetzky 1958, p. 13) have demonstrated that a sphere is a unique solution to the problem of hydrostatic equilibrium for a ?uid mass at rest in tridimensional space. The problem complicates enormously if the sphere is rotating rigidly or di?erentially in space round an axis, and/or if it is distorted magnetically or tidally. Even for the simplest case of a uniformly rotating ?uid body with constant density not all possible solutions have been found (Zharkov and Trubitsyn 1978, p. 222). The sphere becomes an oblate ?gure, and we have no a priori knowledge of its strati?cation, boundary shape, planes of symmetry, transfer of angular momentum in di?erentially rotating bodies, etc | ||
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Datensatz im Suchindex
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| discipline | Physik |
| doi_str_mv | 10.1007/1-4020-2351-0 |
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| isbn | 9781402023514 9781402023507 |
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| spelling | Horedt, G. P. Verfasser aut Polytropes Applications in Astrophysics and Related Fields by G. P. Horedt Dordrecht Springer Netherlands 2004 1 Online-Ressource (VIII, 724 p) txt rdacontent c rdamedia cr rdacarrier Astrophysics and Space Science Library 306 While it seems possible to present a fairly complete uni?ed theory of undistorted polytropes, as attempted in the previous chapter, the theory of distorted polytropes is much more extended and - phisticated, so that I present merely a brief overview of the theories that seem to me most interesting and important. Basically, the methods proposed to study the hydrostatic equilibrium of a distorted self-gravitating mass can be divided into two major groups (Blinnikov 1975): (i) Analytic or semia- lytic methods using a small parameter connected with the distortion of the polytrope. (ii) More or less accurate numerical methods. Lyapunov and later Carleman (see Jardetzky 1958, p. 13) have demonstrated that a sphere is a unique solution to the problem of hydrostatic equilibrium for a ?uid mass at rest in tridimensional space. The problem complicates enormously if the sphere is rotating rigidly or di?erentially in space round an axis, and/or if it is distorted magnetically or tidally. Even for the simplest case of a uniformly rotating ?uid body with constant density not all possible solutions have been found (Zharkov and Trubitsyn 1978, p. 222). The sphere becomes an oblate ?gure, and we have no a priori knowledge of its strati?cation, boundary shape, planes of symmetry, transfer of angular momentum in di?erentially rotating bodies, etc Physics Chemistry, Physical organic Mathematical physics Astronomy Astrophysics Mathematical and Computational Physics Physical Chemistry Mathematische Physik Polytroper Prozess (DE-588)7660027-0 gnd rswk-swf Astrophysik (DE-588)4003326-0 gnd rswk-swf Polytroper Prozess (DE-588)7660027-0 s Astrophysik (DE-588)4003326-0 s 1\p DE-604 https://doi.org/10.1007/1-4020-2351-0 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Horedt, G. P. Polytropes Applications in Astrophysics and Related Fields Physics Chemistry, Physical organic Mathematical physics Astronomy Astrophysics Mathematical and Computational Physics Physical Chemistry Mathematische Physik Polytroper Prozess (DE-588)7660027-0 gnd Astrophysik (DE-588)4003326-0 gnd |
| subject_GND | (DE-588)7660027-0 (DE-588)4003326-0 |
| title | Polytropes Applications in Astrophysics and Related Fields |
| title_auth | Polytropes Applications in Astrophysics and Related Fields |
| title_exact_search | Polytropes Applications in Astrophysics and Related Fields |
| title_full | Polytropes Applications in Astrophysics and Related Fields by G. P. Horedt |
| title_fullStr | Polytropes Applications in Astrophysics and Related Fields by G. P. Horedt |
| title_full_unstemmed | Polytropes Applications in Astrophysics and Related Fields by G. P. Horedt |
| title_short | Polytropes |
| title_sort | polytropes applications in astrophysics and related fields |
| title_sub | Applications in Astrophysics and Related Fields |
| topic | Physics Chemistry, Physical organic Mathematical physics Astronomy Astrophysics Mathematical and Computational Physics Physical Chemistry Mathematische Physik Polytroper Prozess (DE-588)7660027-0 gnd Astrophysik (DE-588)4003326-0 gnd |
| topic_facet | Physics Chemistry, Physical organic Mathematical physics Astronomy Astrophysics Mathematical and Computational Physics Physical Chemistry Mathematische Physik Polytroper Prozess Astrophysik |
| url | https://doi.org/10.1007/1-4020-2351-0 |
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