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Polytropes: Applications in Astrophysics and Related Fields (Hardback)

Georg P. Horedt

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ISBN 10: 1402023502 / ISBN 13: 9781402023507
Edité par Springer-Verlag New York Inc., United States, 2004
Neuf(s) Etat : New Couverture rigide
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Language: English . Brand New Book. 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. N° de réf. du libraire LIB9781402023507

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Détails bibliographiques

Titre : Polytropes: Applications in Astrophysics and...

Éditeur : Springer-Verlag New York Inc., United States

Date d'édition : 2004

Reliure : Hardback

Etat du livre :New

Edition : 2004 ed..

A propos de ce titre

Synopsis :

This book provides the most complete academic treatment on the application of polytropes ever published. It is primarily intended for students and scientists working in Astrophysics and related fields. It provides a full overview of past and present research results and is an indispensible guide for everybody wanting to apply polytropes.

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